Find the height of a triangle whose base is 5 inches and area is 12 square inches

Answers

Answer 1

The height is 4.8. You can check it by substituting it into the formula.

Answer 2

Answer:

Therefore, Height = 4.8 inches.

Step-by-step explanation:

Given : A triangle whose base is 5 inches and area is 12 square inches.

To find : Find the height of a triangle.

Solution : we have given

Triangle base = 5 inches.

Area = 12 square in.

We need to find height of the triangle.

Area = [tex]\frac{1}{2}[/tex] * base * height .

Plugging the values .

12 =  [tex]\frac{1}{2}[/tex] * 5 * height .

On multiplying both sides by 2

24 = 5 * height .

On dividing both sides by 5.

Height = [tex]\frac{24}{5}[/tex].

Height = 4.8 inches.

Therefore, Height = 4.8 inches.


Related Questions

What is the value of f^-1 (2)

Answers

Answer:

2/f is the correct answer.

Final answer:

The value of f^-1(2) refers to the value of x in the original function f(x) that corresponds to f(x) = 2. Essentially, it is asking what value of x, when substituted into the original function, would provide an answer of 2.

Explanation:

The value of f^-1(2) is the pre-image, or the value of the variable x in the original function f(x), that corresponds to f(x) = 2 in the original function. An inverse function undoes the operation of the original function. For instance, if you have a function f(x) = y, the inverse function, denoted f^-1, would give you back x when you input y. Therefore, f^-1(2) asks for the value of x that would result in f(x) = 2 in the original function.

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you randomly choose a natural number from 1 to 20. what id the probability that you will choose 8 or a multiple of 4?​

Answers

Answer:

20%

Step-by-step explanation:

The elements or numbers are 1,2,3,4....20

And the probability you looking for is 4 and 8...thus only two elements... Counting them individually out of the total elements... Hence this gives... 2/20=1/10

Draw an angle of negative pie over three in
Standard position.

Answers

Check the picture below.

recall that negative angles go "clockwise".

HURRY AND ANSWER
How can we cut 5 and 9 to find the median

Answers

if this is asking what I think it is, all you do is subtract 5 by 9, divide it by 2, then add the product to five. which will get you 7.

5 + 9 = 14

14/2 = 7

The answer is 7

What type of association does the following scatter plot represent?
A. Positive linear association
B. Negative linear association
C. Positive nonlinear association
D. Negative nonlinear association

Answers

B negative linear association

Divide -3x3 - 2x2 - x - 2 by x – 2.

Answers

Answer:

The answer..,

Step-by-step explanation:

Let me know if you wanted the steps (:

ANSWER

[tex] \frac{ - 3 {x}^{3} - 2 {x}^{2} - x - 2}{x - 2} = - 3 {x}^{2} - 8x - 17 - \frac{36}{x - 2} [/tex]

EXPLANATION

We want to divide

[tex] - 3 {x}^{3} - 2 {x}^{2} - x - 2[/tex]

by

[tex]x - 2[/tex]

We perform synthetic division to obtain:

The remainder to be -36.

The quotient is

[tex] - 3 {x}^{2} - 8x - 17[/tex]

Therefore,

[tex] \frac{ - 3 {x}^{3} - 2 {x}^{2} - x - 2}{x - 2} = - 3 {x}^{2} - 8x - 17 - \frac{36}{x - 2} [/tex]

Justin made a scale drawing of a rectangular playground. he used the scale 2 inches: 3 feet. His drawing is 18 inches by 24 inches. What is the actual area of the playground?

Answers

Answer:-Steps-

1.)Divide 18 by 2

(18/2=9)

2.)Divide 24 by 2

(24/2=12)

3.)Multiply 18 and 3

(18 x 3 = 54)

4.)Multiply 24 and 3

(24 x 3 = 72)

5.) Now multiply 54 and 72

(54 x 72 = 3888)

The answer is 3888 feet or 118056 centimeters.

Step-by-step explanation:

The actual area of the playground is determined by converting the scale drawing dimensions to real-life measurements using the provided scale, resulting in a playground area of 972 square feet.

Justin has created a scale drawing of a playground using the scale 2 inches: 3 feet. To find the actual area of the playground, we first convert the dimensions of the drawing to real-life dimensions. The scale factor is found by dividing the scale's drawing unit by the real unit. This gives us a factor of 1 inch being equivalent to 1.5 feet since 2 inches represent 3 feet (2 inches / 3 feet = 1 inch / 1.5 feet).

The drawing dimensions are 18 inches by 24 inches. We multiply each dimension by our conversion factor (1.5 feet per inch) to get the real-life measurements:

Real length = 18 inches * 1.5 feet/inch = 27 feetReal width = 24 inches * 1.5 feet/inch = 36 feet

To find the actual area, we multiply the length by the width:

Area = length * width = 27 feet * 36 feet = 972 square feet

The actual area of the playground is 972 square feet.

Timothy's box holds 5 kilograms of magazines and 27 kilograms of books.What is the total mass of the magazines and books

Answers

Answer:

31

Step-by-step explanation:

Answer:

135

Step-by-step explanation:

you multiply 5 times 27 equals 135

50+ POINTS AND BRAINLIEST! PLEASE BE CORRECT!


What is the surface area of the prism?


Answers

Answer:

  =234 mm^2

Step-by-step explanation:

The surface area of a rectangular prism is given by

SA = 2 (lw +lh +hw)  where l is the length, w is the width and h is the height

SA = 2 ( 15*3 + 15*4 + 3*4)

     = 2( 45+60+12)

    = 2(117)

    =234 mm^2

what is the tangent ratio for

Answers

Answer:

tan T = 3/4

tan U = 4/3

Step-by-step explanation:

The tangent ratio is opposite / adjacent. The ratio will vary for each angle since the perspective of each angle will be different. For example Angle T has an adjacent side of 4 while Angle U has an adjacent side of 3. The tangent ratios for Angles U and T are listed below:

tan T = 3/4

tan U = 4/3

Answer:

Step-by-step explanation:

tan(T) = 3/4

tan(U) = 4/3

tan(V) = 5/4

Cone A has a radius of 12 inches and Cone B has a radius of 30 inches. If the cones are similar and the volume of Cone A is 48 ft^2, find the volume of Cone B.

Answers

Answer:

750 ft^3

Step-by-step explanation:

Given that the cones are similar, the first step would be to determine their linear scale factor; That is the ratio of their radii;

[tex]\frac{RadiusB}{RadiusA}=\frac{30}{12}=2.5[/tex]

The next step is to determine the volume scale factors. Since the linear scale factor is 2.5, the volume scale factor would be;

volume scale factor = (linear scale factor)^3

                                 = 2.5^3 = 125/8

The volume of Cone B will thus be;

volume of Cone A * volume scale factor = 48 * 125/8 = 750 ft^3

Nelly runs a 10 mile race in 88 minutes. At this rate, how long would it take him to run 6.5 mile race.​

Answers

Answer:

57.2 minutes

Step-by-step explanation:

One way in which to solve this problem is to write and solve an equation of ratios:

 6.5 mi        x

------------ = -----------

 10 mi        88 min

Cross-multiplying, we get:

10x = 572

Then x = 57.2 minutes (to run this 6.5 mile race)

You and the chess teacher have been playing chess for 18 minutes to make the chess club you must win the game in less than 45 minutes how much time do you have to win the chess game

Answers

45 - 18 = 27

About 27 mintues

Final answer:

Given that you and the chess teacher have been playing the game for 18 minutes and you need to win the game in less than 45 minutes, you need to subtract the time you have already spent playing from the total time allowed. So, 45 minutes (total time) - 18 minutes (time spent) = 27 minutes. You have 27 minutes left to win the chess game and enter the chess club.

Explanation:

The question is asking how much time you have left to win the chess game in order to make it into the chess club, given that you and the chess teacher have been playing the game for 18 minutes, and you need to win the game in less than 45 minutes. This translates to a mathematical problem of subtraction.

To find out how much time you have left, subtract the time you have already spent playing from the total time allowed. This would be 45 minutes (total time) - 18 minutes (time spent).

Step-by-step explanation:From the 45 minutes, subtract the time already spent, which is 18 minutes.The result will be the time remaining to win the game.

So, 45 minutes - 18 minutes = 27 minutes

.

You have 27 minutes to win the chess game and enter the chess club.

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The figure below shows trapezoid ABCD on a coordinate plane. Which following expressions represents the area of the figure EBCD in square units

Answers

The answer is 74 square units so B

Hope this helps you

Have a great day

☆ Dont forget to mark brainliest ☆

Answer:

EBCD=55.5 square units

Step-by-step explanation:

Since EBCD is a trapezoid you would plug in the lengths of the sides into the formula. First I will give you the side lengths.

BC=√37

EB=√37

CD=√74

ED=2√37

To solve for the area of EBCD we have to plug the numbers into the trapezoid formula 2√37+√37 divided by 2 times √37 =111/2 which that equals 55.5 square units.

I also know this is correct because I just took the assignment myself.

Suppose that y varies inversely with x. Write an equation for the inverse variation. y=6 when x=8

Answers

Answer:

y = 48/x

Step-by-step explanation:

"Inverse variation" means y is proportional to the inverse of x. If the constant of proportionality is represented by k, then ...

y = k/x

Multiplying by x, we find k to be ...

xy = k

So, the given values tell us k is ...

8·6 = k = 48

and the desired equation is ...

y = 48/x

Answer:

i think y = 48/x

Step-by-step explanation:

The two triangular pyramids are similar. The smaller pyramid has a volume of 52 inches3. What is the volume of the larger pyramid? Round to the nearest tenth. in.3

Answers

Answer:

the volume of the larger pyramid = 175.5 inches³

Step-by-step explanation:

* Lets revise the similar

- If two solids are similar,then the ratio between each two

 corresponding dimensions are qual

- Their perimeters have the same ratio

- Their areas have the square of the equal ratio

- Their volumes have the cube of the equal ratio

* Lets solve the problem

- The two triangular pyramids are similar

- The perimeter of the base of the small one = 14 inches

- The perimeter of the base of the big one = 21 inches

∴ The ratio of the similarity = 14/21 = 2/3

∴ The ratio between their volumes is (2/3)³ = 8/27

∵ The volume of the small one = 52 inches³

- W will us the cub of the ratio to find the larger volume

∴ 52/V = 8/27 ⇒ by using the cross multiplication

∴ 52 × 27 = 8 × V

∴ 1404 = 8V ⇒ divide both sides by 8

∴ V = 175.5 inches³

Answer:

175.5 on edge

Step-by-step explanation:

hope it helps

Use the slope formula to find the missing coordinate: R(0,_), S(-4,2) m=5

Answers

Answer

The missing value is 22

step-by-step explanation

The slope formula is

[tex]m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

From the question,

m=5

[tex]x_2=-4[/tex]

[tex]y_2=2[/tex]

and

[tex]x_1=0[/tex]

We substitute these values to get,

[tex]5= \frac{2 - y_1}{ - 4- 0} [/tex]

Simplify

[tex]5= \frac{2 - y_1}{ - 4} [/tex]

[tex]5 \times - 4=2 - y_1[/tex]

[tex] - 20=2 - y_1[/tex]

[tex] - 20 - 2=- y_1[/tex]

[tex]22= y_1[/tex]

[tex] y_1 = 22[/tex]

The missing value is 22

This week laptops are 25% off. If a laptop costs $340, what is its sale price?

Answers

____________________________________________________

Answer:

Your answer would be $255

____________________________________________________

Step-by-step explanation:

To solve these kind of problems, what we have to do is find how much of 340 is 25%, and then subtract that number to the original price.

Let's give you some important information in the text:

25% off$340

With the information above, we can solve our problem.

First, we would need to find how much of 340 is 25%, and to do that, we would multiply 340 by 0.25:

[tex]340*0.25 = 85[/tex]

When you solve, you should get 85. But, you're not done yet, we need to find out how much the sales price is, not how much of it is discounted.

In order to find the sales price, we would get our original number (the number it originally cost), and subtract it with the amount of money it's removing (85).

In this case, we would subtract 340 by 85.

[tex]340-85=255[/tex]

Your FINAL answer should be 255

The sales price of the laptop would be $255.

____________________________________________________

what is the surface area of the figure ?
A. 291 ft2
B. 582 ft2
C. 900 ft2
D. 399 ft2

| will mark as brainliest |

Answers

582 is your answer and i already checked i hope you get it right :)

Answer: B: 582 ft2

Step-by-step explanation:  9*15= 135+36= 171 ft for the face. 171*2= 342 ft for front and back. 342+2*(15*4)=462+(6*4)=486........ and so on with all the sides.

Someone help me please

Answers

i think this is the answer

Step-by-step explanation: So i think the answer is 2 : 3 and another one is

3 to 2

Select all the correct answers

Answers

I would say B and D are correct.

Write and solve the equation and then check your answer.
A number increased by twenty-six is forty-two.

Which statements are correct? Check all that apply.

This is an addition problem.

This is a subtraction problem

The correct equation is s + 26 = 42. 

The correct equation is s – 26 = 42. 

To solve the equation, add 26 to both sides.

To solve the equation, subtract 26 from both sides.​

Answers

Answer:

(statements listed below are correct)

this is an addition problem.correct equation is s + 26 = 42.to solve the equation, subtract 26 from both sides.

Step-by-step explanation:

The correct statements are Option(A), Option(C) and Option(F).

What is an equation?

A mathematical statement that consists of an equal symbol between two algebraic expressions with the same value is known as an equation.

Let the number be = S

When it is increased by 26 it becomes 42

S + 26 = 42( Option(A) and Option(C))

Subtract 26 from both the sides (Option(F))

S + 26 - 26 = 42 - 26

S = 16

Hence, it is proved that Option(A), Option(C) and Option(F) are correct.

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What is the value this is -3 standard deviations from the mean?

Answers

Answer:

x = 44.9

Step-by-step explanation:

This equation shown falls in the formula for z score:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

Where [tex]\mu[/tex] = 62

[tex]\sigma[/tex] = 5.7

ans z = -3

So, which value corresponds to a z-score of -3???

we cross multiply and do algebra to solve for x:

[tex]-3=\frac{x-62}{5.7}\\-3*5.7=x-62\\-17.1=x-62\\-17.1+62=x\\44.9=x[/tex]

PLEASE HELP Which expression is equivalent? 8 − 5(3x − 7)
A) 15x + 43 B) 9x − 21 C) −9x + 21 D) −15x + 43
Which expression is equivalent? 6(2x + 3) − 4(5x + 2)
A) 8x + 10 Eliminate B) 8x − 10 C) −8x + 10 D) −8x − 10 Which is equivalent to the expression? 4(x + 5) + 4x + 8
A) 4(2x + 7) B) 5x + 17 C) 8(x + 4) D) 8x + 13

Answers

Answer:

Q1. D) -15x + 43Q2. C) -8x + 10Q3. A) 4(2x + 7)

Step-by-step explanation:

[tex]Q1:\\8-5(3x-7)\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\=8-(5)(3x)+(-5)(-7)=8-15x+35=-15x+(8+35)\\=\boxed{-15x+43}[/tex]

[tex]Q2:\\6(2x+3)-4(5x+2)\qquad\text{use the distributive property}\\\\=(6)(2x)+(6)(3)+(-4)(5x)+(-4)(2)=12x+18-20x-8\\\\\text{combine like terms}\\\\=(12x-20x)+(18-8)=\boxed{-8x+10}[/tex]

[tex]Q3.\\4(x+5)+4x+8\qquad\text{use the distributive property}\\\\=(4)(x)+(4)(5)+4x+8=4x+20+4x+8\\\\\text{combine like terms}\\\\=(4x+4x)+(20+8)=\boxed{8x+28}=(4)(2x)+(4)(7)=\boxed{4(2x+7)}[/tex]

Choose the answer. Which best describes this quadrilateral? a. polygon with all right angles B. polygon with exactly 1 pair of sides that are equal in length c. polygon with exactly 1 pair of parallel sides D. polygon with 4 sides that are equal in length

Answers

Answer:

the best answer would be C

Answer:

D

Step-by-step explanation:

what's is the value of (2/3)^3​

Answers

Answer: 8/27

(2/3)^3

2^3/3^3

= 8/27; alternative form: 0.29

For this case we must find the value of the following expression:[tex](\frac {2} {3}) ^ 3 =[/tex]

Then, rewriting the expression:

[tex]\frac {2 ^ 3} {3 ^ 3} = \frac {2 * 2 * 2} {3 * 3 * 3} = \frac {8} {27}[/tex]

Simplifying the expression in decimal form we have:

[tex]\frac {8} {27} = 0.2963[/tex]

Answer:

[tex]\frac {8} {27} = 0.2963[/tex]

An Easter basket contains eggs of three different colors. Find the total number of eggs in the basket if 2/7 of all eggs are green, 1/4 of all are blue and the rest 26 eggs are red.

Answers

Answer:

15/28

Step-by-step explanation:

2/7 plus 1/4 plus 26 is 15/28

Answer:

Total number of eggs in basket = 56

Step-by-step explanation:

Let z be the total number of eggs

Green eggs = [tex]\frac{2}{7}[/tex] × z   ........1

Blue eggs =  [tex]\frac{1}{4}[/tex] × z    .......2

Rest of eggs = 26  ........3

The addition of 1, 2 and 3 is equal to z  

[tex]\frac{2}{7}[/tex] × z + [tex]\frac{1}{4}[/tex] + 26 = z

[tex]\frac{8z + 7 z}{28}[/tex] + 26 = z                        ∵GCF for 4 and 7 is 28  

[tex]\frac{15z}{28}[/tex]  + 26 = z

15z + (26 × 28) = 28z                ∵ multiply both sides by 28

15z + 728 = 28z

28z - 15z = 728     .......... rearranging above equation

13z = 728  ⇒   z = [tex]\frac{728}{13}[/tex]   ⇒  z = 56

Total number of eggs = z = 56

                                 

An airplane is at a location 800 miles due west of city X. Another airplane is at a distance of 1,200 miles southwest of city X. The angle at city X created by the paths of the two planes moving away from city X measures 60°. What is the distance between the two airplanes to the nearest mile? Assume that the planes are flying at the same altitude.

Answers

Answer:

The distance between the two airplanes (to the nearest mile) is 1058 miles.

Step-by-step explanation:

An airplane A is at a location 800 miles due west of city X. So AX = 800 miles.

Another airplane is at a distance of 1,200 miles southwest of city X. So BX = 1200 miles.

The angle at city X created by the paths of the two planes moving away from city X measures 60°. So angle ∠AXB = 60°.

In triangle ΔAXB, AX = 800 miles, BX = 1200 miles, ∠AXB = 60°.

Using law of cosines:-

AB² = AX² + BX² - 2 * AX * BX * cos(∠AXB).

AB² = 800² + 1200² - 2 * 800 * 1200 * cos(60°).

AB² = 640000 + 1440000 - 2 * 960000 * 1/2

AB² = 2080000 - 960000

AB² = 1120000

AB = √(1120000) = 1058.300524

Hence, the distance between the two airplanes (to the nearest mile) is 1058 miles.

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Select the three sums equivalent to 13/8.

Answers

Answer:

26/16, 39/24, 52/32

Step-by-step explanation:

Answer: can you give me answer choises so i can answer?

The scores on an exam are normally distributed, with a mean of 75 and a standard deviation of 5. What percent of the scores are less than 80?

A. 50%
B. 84%
C. 13.5%
D. 16%

Answers

Answer:

B. 84%

Step-by-step explanation:

Given

Mean= π=75

Standard Deviation= σ=5

As we have to calculate the percentage of score less than 80, we will find the z-score of 80

z=(x-μ)/σ

=  (80-75)/5

=5/5

=1

The z-score table value for 1 is 0.8413.

For converting this value into percentage, the value will be multiplied by 100.

So,

Percentage of students whose score is less than 80 = 0.8413*100

=84.13%

Rounding off gives us : 84%

So option B is the correct answer..

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