The **area of a triangle** with the base of 10 cm and the height of 5 cm is 25 square cm.

In the given question we have to find the area of a triangle with the **base** of 10 cm and the height of 5 cm.

The entire area bounded by a triangle's three sides is referred to as the triangle's area. In essence, it equals half of the base times height, or A = 1/2bh. So, in order to calculate the area of a triangular polygon, we need to know its base (b) and **height** (h).

Area of Triangle = 1/2 ×b×h

Area of Triangle = 1/2 ×10×5

Area of Triangle = 5×5

Area of Triangle = 25 square cm

Hence, the **area of a triangle** with the base of 10 cm and the height of 5 cm is 25 square cm.

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find the area of STUV.

answer should be 120.

hey free 100 points :) (not really) please help!

Complete the square in the quadratic function f given by

f(x) = 2x2 - 6x + 4

**Answer: x = 2, 1**

**Step-by-step explanation:2x^2 - 6x + 4 = 0**

**Firstly, simplify. Divide by 2 to get**

**2(x^2-3x+2) = 0**

**Move the constant to the other side.**

**2(x^2-3x) = -2**

**Divide the x term by 2 and square it**

**-3/2^2 = 9/4**

**Add this result to both sides.**

**2(x^2-3x+9/4) = 1/4.Put the perfect sq on both sides 2(x-3/2)^2=1/4Then solve the equation:**

**take the sqrt of both sides and isolate x for each solution**

**x-3/2= +/-1/2x = 3/2 + 1/2x= 3/2-1/2x= 2, 1**

How do I covert between VOLUME units??

We will convert between **volume **units by multiplication or division process depending on the standard metric **units.**

**What is unit conversion?**

**Unit **conversion is done either by multiplication or division process between numerical values. There are some standard metric units. By following the standard, we can convert one unit to another. As example we have a box that is 2 square feet area, now we want to know the area in inches. So, we will multiply it by 144 to convert in square inches.

**How do we convert between volume units?**

We convert between volume units either by multiplication or division process depending on the **standard** unit. If we find a volume in liter and we can convert it in cubic meter by multiplying the number by 0.001. Assume, we measured a volume in cubic feet, but someone want to know this volume in cubic meter that time we divide this value by 35.32 to convert in required unit.

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Line m passes through point (5, 8) and has a slope 3/5. What is the equation for the line

The **equation** for the **line** is y = 3/5x + 5.

**What is equation ?**

The definition of an **equation** in **algebra** is a **mathematical statement** that demonstrates the **equality** of two **mathematical expressions**. For instance, the **equation** 3x + 5 = 14 consists of the two **equations** 3x + 5 and 14, which are separated by the 'equal' sign.

A **mathematical statement** known as an **equation** is made up of two **expressions** joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this **equation** is solved, we discover that the **value** of the **variable** x is 7.

A **mathematical expression** with an equals sign is referred to as an **equation**. **Algebra** is widely used in **equations**. When performing calculations but unsure of the precise **amount**, **algebra** is used.

y = mx + b

8 = 3/5(5) + b

8 = 15/5 + b

b = 5

∴ **equation** is y = 3/5x + 5

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What are the 7 types of angles Class 7?

**Answer:**

**Step-by-step explanation:**

Zero Angle (0° in Measure)

Acute Angle (0 to 90° in Measure)

Right Angle (90° in Measure)

Obtuse Angle (90 to 180° in Measure)

Straight Angle (180° in Measure)

Reflex Angle (180 to 360° in Measure)

Complete Angle (360° in Measure)

A ceiling fan has 19-inch blades(so the radius of the circular fan is 19 inches). Suppose the dan turns at a rate of 69 revolutions per minute.

a) Find angular speed of the fan in radians per minute

b) Find the linear speed of the tip of a blade in inches per minute

**Angular speed** of the fan in radians per minute is 421 (crad /min) , The linear speed of the tip of a blade in inches per minute is

Suppose the dan turns at a rate of 69 revolutions per minute.

Angular speed of the fan in** radians** per minute is

According to the problem

w = 2zn

(a) w = 2z * 67

= 134z

≈ 421 crad /min)

Angular speed of the fan in radians per minute is 421 (crad /min)

The linear speed of the tip of a blade in inches per minute is

(b) v = 2z * 19 * 67

{ v = 2zrn}

=2546z

7988(cin / m * in)

The** linear speed** of the tip of a blade in inches per minute is 7988(cin / m * in)

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The table below represents the number of power boats registered in the

given year. Using the equation for the line of best fit, which is a

good prediction for the number of powerboat registrations in 2013?

Therefore , the solution of the given problem of **equation** comes out to be 1225 boats registrations done in year 2013.

The equal letter (=) is used to signify **equivalence** between the statements in a mathematical formula. Using mathematical equation, which are declarations of reality, it is shown that many mathematical **variables** are equivalent. For instance, the equal sign in the equation y + 6 = 12 divides the values 12 or b + 6 into two halves. The number of words that each side of a symbol corresponds to can be measured. Typically, a symbol's meaning is at odds with itself.

Here,

Given :

Let x be the number of boats:

t is number of years

In 1996 and 1997

=> 797 -751 = 46 boats increased

In 1997 and 1998

=> 806 -797 = 9 boats increased

So ,

the equation which can signify the given information :

=> 2002 + t = 923 +x

So ,At 2013

=> 2013 = 1225 boats registrations done.

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What is 3X3X3X3X3 in exponential form?

3×3×3×3×3 in **exponential form** is 3⁵.

When we represent a number in the exponential form then we can say that its **power** has been raised by an exponent. The exponential form is an easier way of representing repeated multiplication involving base and exponents.

For example, If we have to write the exponential form of a×a×a×a×a, we can write it as a **base** and the number of a's as the power that is

a×a×a×a×a = a⁵

Where

a is the base

5 is the power of a

We can simply write 3×3×3×3×3 in exponential form by raising the power to the base 3,

3×3×3×3×3 = 3⁵

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h Find the lateral surface area of the net. 7 1.5 1.5 2 ft 2pt 5 1.5 ft r 5 ft OManeuvering the Middle LLC, 2016

On solving the provided question we can say that the **Lateral Surface **area=396cm2

The surface area of a** three-dimensional** object less the area of its bases is the item's lateral surface **area**. All of an object's sides, excluding its base and top, are considered its lateral surface. The size of the lateral surface is referred to as its area. This must be distinguished from the total surface area, which consists of the base and top areas as well as the lateral surface area.

The Lateral surface area of cylinder

=2πrh

2π×7×18=792cm2

When the height is reduced to half then using the same formula for the lateral surface area

we have

2π×7×9=396cm2

Lateral Surface area=396cm2

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On solving the provided question we can say that the **Lateral **Surface area = 396 cm²

The surface area of a **three-dimensional** object less the area of its bases is the item's lateral surface area. All of an object's sides, excluding its base and top, are considered its lateral surface. The size of the lateral surface is referred to as its area. This must be distinguished from the total surface area, which consists of the base and top areas as well as the lateral surface area.

The Lateral surface area of **cylinder**

=2πrh

2π×7×18=792cm2

When the **height **is reduced to half then using the same formula for the lateral surface area

we have

2π×7×9=396cm2

Lateral Surface area=396cm2

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The sum of two numbers is 56. The difference between the two numbers is 12. What are the two numbers?

**Answer:**

**Step-by-step explanation:**

x+y=56

x+12=y

2x+12=56

2x=44

x=22

y=56-22

y=34

x=22

hope this helps

**Answer:**

34 and 22

**Step-by-step explanation:**

x + y = 56 Add the two equations together

x - y = 12

2x = 56 Divide both sides by 2

**x = 34**

substitute 34 for x in either of the two original equations to solve for y

x + y = 56

34 + y = 56 Subtract 34 from both sides

**y = 22**

Check:

x + y = 56

34 + 22 = 56 Checks

x - y = 12

34 - 22 = 12

12 = 12 Checks

helpp how do i solve this

The correct **solution **is shows in below.

A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.

Given that;

1) 3/4 - 1/5 = 11/20

2) 3 1/3 - 4/7 = 2 16/21

3) 3 3/7 - 2 2/3 = 16/21

Now,

Simplify the **fraction **as;

1) 3/4 - 1/5 = 11/20

LHS;

⇒ 3/4 - 1/5

⇒ (15 - 4) / 20

⇒ 11/20

⇒ RHS

2) 3 1/3 - 4/7 = 2 16/21

⇒ 10/3 - 4/7

⇒ (70 - 12) / 21

⇒ 58 / 21

⇒ 2 16/21

⇒ RHS

3) 3 3/7 - 2 2/3 = 16/21

LHS;

⇒ 3 3/7 - 2 2/3

⇒ 24/7 - 8/3

⇒ (72 - 56)/21

⇒ 16/21

⇒ RHS

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In Mr. Ibrahim's classroom, 20 out of 25 students saw a new action movie. What is the ratio of students who saw the movie to students who did not see the movie? (Think, how many students saw the movie and how many students did not see the movie.)

**Answer:**

20:5

**Step-by-step explanation:**

**There were 25 kids and 20 of them watched the movie, meaning only 5 people did not watch so it is 20:6.**

Write the equation of a sine function that has the following characteristics.

1

Amplitude: 4 Period: 7pi Phase shift:

1/5

**Answer:**

[tex]y=4\sin(\frac{2}{7}x-\frac{2}{35})[/tex]

**Step-by-step explanation:**

Period: [tex]7\pi=\frac{2\pi}{b}\rightarrow b=\frac{2}{7}[/tex]

Phase Shift:

[tex]\displaystyle \frac{c}{b}=\frac{1}{5}\\\\\rightarrow\frac{c}{\frac{2}{7}}=\frac{1}{5}\\\\\rightarrow \frac{2}{7}=5c\\ \\\rightarrow \frac{2}{35}=c[/tex]

Final equation:

[tex]y=4\sin(\frac{2}{7}x-\frac{2}{35})[/tex]

Need help pls and thanks

You can tell if a table shows a** proportional relationship** by calculating the ratio of each pair of values.

The table depicts a proportionate relationship if all of those ratios are the same.

If all of the ratios of the variables are equal, then there is a proportional link between the two variables.

In proportional relationships, one variable is, in other words, always a constant value multiplied by the other variable. The proportionality constant is the name given to the constant **value**. A mathematical equation of the form y=kx, where k is the proportionality constant, can be used to model any proportional relationships. The unit rate is another name for the proportionality constant.

Dustin, for instance, spends $8 each month for a **music streaming** service. The total cost of the service, c, and the number of months Dustin pays for the streaming service, m, are proportionate.

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Use a trigonometric ratio to solve for c. Round to two decimal places as necessary!!

HELP, and can someone explain how to get the answer?

Given that the one side of a **right-angled triangle** is 12 and its angle is 19, the value of c is 36.85.

Trigonometry, a branch of mathematics, studies how triangle side **lengths** and angles relate to one another. Around the third century BC, the use of geometry in astronomical study led to the first appearance of the area. The study of specific trigonometric functions and how they could be applied to calculations is a topic covered in the branch of mathematics known as precise techniques. Trigonometry includes six well-known trigonometric operations. The names and acronyms for each are sine, cosine, tangent, cotangent**, secant**, and cosecant (csc). Trigonometry is the study of triangle properties, specifically of right triangle properties. But geometry is the study of geometric figures and their features.

given

a/sinA = c / sinB

12 / sin19 = c / sin90

36.85 = c /1

c = 36.85

Given that the one side of a right-angled triangle is 12 and its angle is 19, the value of c is 36.85.

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1. Find the midpoint of the line segment joining (–4, –2) and (2, 8).

The **midpoint **of the **line segment **joining (–4, –2) and (2, 8) is calculated to give: (-1, 3)

The centroid of a **line segment **is its middle point. Since it is equally far from both ends, it divides the region in **half**.

In coordinate geometry, the **midpoint formula **is the method for calculating the center point of a straight line given its endpoints' **coordinates**.

The formula is of the form

X= (x₂ + x₁)/2

Y = (y₂ + y₁)/2

For points (–4, –2) and (2, 8).

X= (-4 + 2)/2 = -1

Y = (-2 + 8)/2 = 3

The **midpoint **is solved to be (-1, 3)

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A baker sells bread for $3 a loaf and rolls for $1 each. The baker needs to sell $27 worth of baked goods by

the end of the day.

Graph the linear equation 3b + r = 27, where b is the number of loaves of bread sold and r is the

number of rolls sold.

**Answer:**

** 4 loaves of bread**

**Step-by-step explanation:**

Cost of 1 loaf of bread = $3

Cost of 1 roll = $1

The baker needs to sell both items and it should be worth $24.

To find the linear equation,

Suppose, the baker sells

x

loaves of bread and

y

rolls.

Then the total cost of the sales has to be $24.

So, the linear equation will be:

3

x

+

1

y

=

24

.......................(A)

Now, it is given that the baker sold 12 rolls and we need to know how many loaves he has to sell.

For that, replace the

y

in equation (A) with 12 as

y

represents number of rolls sold.

Then the new equation becomes:

3

x

+

1

×

12

=

24

0r

3

x

=

24

−

12

or

3

x

=

12

Solving for

x

,

x

=

12

3

=

4

loaves

decide if the absolute value inequality is an “and” compound inequality, an “or” compound inequality, or neither.

1. |5+m|<13

a. “and” b. “or” c. neither

2. 4|y + 6| ≥ 3

a. “and” b. “or” c. neither

3. Choose the answer to | g – 3 | = -2

a. g = 5 or -5

b. g = 1 or -1

c. null set

1. |5+m|<13 is an "or" compound **inequality**. 2. 4|y + 6| ≥ 3 is neither compound inequality. 3. **null **set.

1. The **inequality **is given in the question, is as follows:

|5+m| < 13

The **absolute **value of the **expression** "5+m" is less than 13.

To solve the inequality, we need to split the inequality in two separate inequalities: 5+m < 13 and -5-m < 13.

Thus, |5+m|<13 is an "or" compound **inequality**.

2. 4|y + 6| ≥ 3 is neither compound inequality because we have just one inequality.

3. The absolute value of a number is always **positive**, so it is impossible for |g - 3| = -2. So the answer is c. **null **set.

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What is the name of a triangle when all 3 sides are the same length?

The name of a triangle when all 3 sides are the same length is **Equilateral Triangle**

A triangle is said to be **equilateral **if each of its three sides is the same length. In the well-known Euclidean geometry, an equilateral triangle is also equiangular, meaning that each of its three internal angles is 60 degrees and congruent with the others.

Equilateral Triangle Properties

Equal on all three sides.

The sum of the three congruent angles is 60 degrees.

It has three regular sides and is a polygon.

The equilateral triangle is divided into equal halves by the **perpendicular **that is traced from its vertex to the other side. Additionally, the perpendicular's origin vertex's angle is split into two equal angles of 30 degrees each.

The centroid and ortho-centre are located at the same location.

The median, angle bisector, and altitude of an equilateral triangle are all the same.

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What is the distance, in units, between the y-intercept of f(x) = 1/2x - 6 and the y-intercept of the linear function that passes through the points shown in the table below?

Only in the absence of **acceleration**, S, is it precisely proportional to time. When there is no outside force acting on the item, its acceleration 'a decreases to zero, and the equation of motion changes to s= ut.

Subtract their **x-coordinates** to get the distance between them. The x-coordinate is the same for every point along a vertical line. Subtract their y-coordinates to calculate the distance between them. Below is a picture of the equation's graph, 2x+3y=6. In this location, the graph departs from the x-axis (3,0). The x-intercept is this particular location.

The point where the graph also deviates from the y-axis (0, 2). In the case of a **speed vs time** graph, where time is on the x-axis and speed is on the y-axis, the intercept's SI unit will be speed (m/s). x-intercept: You can find x by setting y=0 in the equation y=2x-6. 3.0 is the x-intercept. y-intercept: Enter x=0 in y = 2x - 6 and find x using the formula. It is -6 for the y-intercept.

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Elena and Jada each make money by helping out their neighbor. Elena babyit. Her earning are given by the equation y=8. 40x, where x repreent how many hour he work and y repreent how much money he earn. Jada earn $7 per hour mowing her neighbor' lawn. How long would it take to make each peron 150$?

If **Elen**a earn y = 8.40x dollars where x represent how many hours she work and **Jada** earn $7 per hour, it would take Elena approximately 17.86 hours and Jada approximately 21.43 hours** **to earn $150

To find out how many **hours** it would take for Elena to earn $150, we need to solve the equation:

y = 8.4x

150 = 8.4x

x = 150/8.4

x ≈ 17.86 hours

So it would take **Elena** approximately 17.86 hours to earn $150.

To find out how many hours it would take for Jada to **earn** $150, we divide 150 by her hourly rate:

= $150 /( $7/ hour)

≈ 21.43

So it would take Jada approximately 21.43 **hours **to earn $150.

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Multiply the first number by its reciprocal:

6

X

6

42

The **result **after **multiplication = **6/X, 1, 1/ 7

When **one **is divided by a number or value it is called the reciprocal of that number or value. It is also said the inverse form of the value or number. As example, reciprocal of 12 is written as 1/12.

**What is the result?**

There are four values 6, X, 6 and 42.

**multiply** the first number by the reciprocal of others.

reciprocal of X = 1/X

reciprocal of 6 = 1/6

reciprocal of 42 = 1/42

now we multiply, 6×1/X = 6/X

6×1/ 6 = 1

6×1/ 42 = 1 /7

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Steve’s savings account has a balance of $1287. after 4 years, what will the amount of interest be at 6% compounded semiannually? a. $161.53 c. $308.88 b. $337.81 d. $343.33

**Answer:**

d. $343.33

**Step-by-step explanation:**

We use the equation

A = P(1 + r)^t

P = $1287

r = 6% = 0.06

t = 4 years

Let's solve

A = 1287( 1 + 0.06)^4

A = 1287(1.06)^4

A = $1630.33

$1630.33 - $1287 = $343.33

So, the answer is D

6. Which of the following is not a way to name the plane?

b. Plane IGF

a. Plane P

c. Plane HDG

d. Plane HDF

**Answer: P**

**Step-by-step explanation:**

Find an expression to present the perimeter of the rectangle below

An **expression **to represent the **perimeter **of the **rectangle **with 10/(x² + 11x +24) and (x+1)/(x+3) would be (x+12)(x+6)//(x+8)/(x+3).

**What is the perimeter?**

A closed path that covers, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a **perimeter**. A circle's or an ellipse's **circumference **is referred to as its **perimeter**. There are numerous uses in real life for **perimeter **calculations.

Here, we have

Given: Sides = 10/(x² + 11x +24) and (x+1)/(x+3)

The **perimeter **is when you add all the **sides **of a shape.

In a **rectangle**, two sides are the same, and so are the other two. therefore, if the two sides are 10/(x² + 11x +24) and (x+1)/(x+3) the **expression **will be:

= 2(10/(x² + 11x +24)) + 2(x+1)/(x+3)

= 20/(x² + 11x +24) + 2(x+1)/(x+3)

= 20/(x+8)/(x+3) + 2(x+1)/(x+3)

= {20 + 2(x+1)(x+8)}/(x+8)/(x+3)

= {20 + 2(x² + 9x + 8)}/(x+8)/(x+3)

= { 20 + 2x² + 18x + 16}/(x+8)/(x+3)

= {2x² + 18x + 36}/(x+8)/(x+3)

= (x+12)(x+6)//(x+8)/(x+3)

Hence, an **expression **to represent the **perimeter **of the **rectangle **with 10/(x² + 11x +24) and (x+1)/(x+3) would be (x+12)(x+6)//(x+8)/(x+3).

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Help please due by tonight

The table shows the **temperature** of a substance at the start of a science experiment which - 16.8°C and we were told that it changed by 3/4 of the value which therefore means that the final **temperature** at 2:35pm is - 29.4°C.

This is referred to as the degree of **hotness** or **coldness** of a substance and it is measured in Celsius, kelvin etc.

In this scenario we were told that the **temperature** - 16.8°C changed by 3/4 of the value which means that:

3/4 × - 16.8°C = - 12.6°C

The **temperature** at 2:35pm will therefore be - 16.8°C - 12.6°C = - 29.4°C.

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A phone company offers a monthly data plan for $10 a month. The planincludes 2 megabytes of data, and charges $0.10 per megabytes above the2 megabytes of data. Write a piecewise-defined function forM(x), the cost forxmegabytes of data used in a month.

The piecewise-defined **function **for M(x), the cost for x **megabytes **of data used in a month [tex]$m(x)=\left\{\begin{array}{c}10, i f x \leq 2 \\ 0.1 x+9.8, i f x > 2\end{array}\right.$[/tex].

A function in mathematics from a set X to a set Y allocates precisely one element of Y to each element of X. The sets X and Y are collectively referred to as the function's **domain** and **codomain**, respectively.

Data exceeding 2 MB is charged at a rate of $0.10 per MB; one-time fee is $10;

The cost per month for x MB of data is:

Up to 2 Mb of data utilized; $10

Data use of over 2 MB

One off charge = $ 10

Charge for data over 2 Mb is $ 0.10 per MB

The monthly charge for x MB data is:

Data ta used up to 2 Mb

$ 10

Data used more than 2 Mb

m(x) = 10 + 0.1(x-2)

m(x) = 10 + 0.1 x-0.2

m(x) = 0.1 x + 9.8

So the **function **is:

[tex]$m(x)=\left\{\begin{array}{c}10, i f x \leq 2 \\ 0.1 x+9.8, i f x > 2\end{array}\right.$[/tex]

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For which equation is b = 5 not the solution?

8- b = 13

B + 6 = 11

B + 4 = 9

12 - b =7

**Answer:8-b=13**

**Step-by-step explanation:**

8-b=13

-b=13-8

-b=5

b=-5

What additional information must be known to prove the triangles similar by SSS?

A)

The lengths of and

B)

∠F ≅ ∠K

C)

No additional information is needed.

D)

∠D ≅ ∠J

The angle also should be known to prove **congruency**.

It states that two **triangles **are said to be congruent if they are exact copies of one another and completely cover one another when superposed. In other words, two triangles are congruent if their corresponding sides and angles are equal to those of the first triangle.

It is ineffective to only know angle-angle-angle (AAA), as this can result in triangles that are similar but not congruent. There are four short cuts that can be used to check whether two triangles are **congruent**.

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Which transformations are nonrigid transformations?

a. rotation

b. dilation

c. reflection

d. translation

e. stretch

**Dilation **and** Stretch **are **non-rigid transformations.**

**Non - Rigid transformation:**

**Non-rigid transformations **can change the size or **shape** of the **archetype**, or both size and shape. The two **transformations Strain** and **Shear **are not rigid. The resulting **image** of the **transform** is changed in size, shape, or both.

A** non-rigid transformation** is a transformation that changes the length or **angle** of a **shape's sides**. **Nonrigid transformations** are **dilation** and **stretching.**

All types of transformations except dilation are rigid transformations.

**Dilation transformations **are divided into two types

Therefore **non-rigid transformations **are Dilation and Stretching

**Dilation:**

**Dilation **(usually denoted by ⊕) is one of the **fundamental operations** in **mathematical morphology**. Originally developed for **binary images**, it was expanded first to **grayscale images** and then to full meshes. **Stretch operations **typically use a structuring **element** to examine and expand the **shapes** contained in the input image.

**Strechting:**

A **non-rigid transformation** changes the size or** shape **of an object. **Resizing** (**stretching horizontall**y, vertically, or both) is a **non-rigid transformation.**

Learn more about **Non- Rigid Transformation:**

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