The volume of a right triangular prism is 72 cubic feet. the height of the prism is 9 feet. the triangular base is an isosceles right triangle. a right triangular prism has a volume of 72 cubic feet. triangles a e c and b f d are the base triangles. sides f d and b f are congruent and form a right angle. the height of the prism is 9 feet. what is the area of the triangular base? square feet what is the length of edge df? feet

Answers

Answer 1

Answer:

8 square feet

Step-by-step explanation:

The formula of a volume of a prism:

We have

Substitute:

            divide both sides by 9

Answer 2

Answer:

8 and 4

Step-by-step explanation:

The first one is 8

The second one is 4


Related Questions

The value of a vase n years after it was
made is given by this formula:
value in pounds (£) = 500 x 1.28"
=
a) What was the original value of the
vase?
b) By what percentage does the value of
the vase increase each year?

Answers

The answers are

a)640-500

b) + 28%

Two of which shape can make a circle

Answers

Answer:

2 semi circles put together

Step-by-step explanation:

just cut the circle in half

Can someone do this for me

Answers

Answer:

A - 10 feet

D - 5 seconds

Step-by-step explanation:

Insert 12 for r the radius and 1500 for V the volume.

12 = [tex]\sqrt{}\frac{3(1500)}{\pi h}[/tex]

Square both sides

144 = [tex]\frac{4500}{\pi h}[/tex]

Solve 144 = [tex]\frac{4500}{\pi h}[/tex]: h = [tex]\frac{125}{4\pi }[/tex]

h = [tex]\frac{125}{4\pi }[/tex] or 9.9 rounded to the nearest foot,

h = 10

t = [tex]\sqrt\frac{2(200)}{16}[/tex]

t = [tex]\sqrt\frac{400}{16} = 25[/tex]

t = [tex]\sqrt{5^{2} }[/tex]

t = 5

can somone help? ill give brainlist

Answers

Answer:

13.99+.75+.75=15.49

Part A ) 15.49

Part B) Anna is correct because her pizza only cost 15.49 and if you subtract 15.49 from 20 it is 14.51

Step-by-step explanation:

hello, anyhelp? if anybody likes they can answer, show work

Answers

The smallest number you’ll have to break the line into to put both fractions on the number line is 40.

This is because to answer this, you need to find the common denominator. This means that only then can they be put on the same line.
The smallest number you'll have to break the
line into to put both fractions on the number
line is 40.
This is because to answer this, you need to
find the common denominator. This means
that only then can they be put on the same
line.
THANKS!

Let x be a random variable with uniform distribution on (100,200). Find the probability that x assumes a value

Answers

if your saying (100,200) on a graph then c will be 100 because first veritable is always going to be x

The probability that x assumes a value less than three standard deviations from the mean is 1.

What is uniform distribution?

The continuous uniform distribution, sometimes known as the rectangle distribution, is a family of symmetric probability distributions in probability theory and statistics.

We have:

x be a random variable with uniform distribution on (100,200).

It is required to find the probability that x assumes a value less than three standard deviations from the mean.

From the empirical rule, the data falls within three standard deviations of the mean in 99.7% of cases.

99.7% data from the (100, 200) is up to 199.7

Total number of favourable outcomes = 99.7

The probability that x assumes a value less than three standard deviations from the mean:

= 99.7/(200-100)

= 0.997 ≈ 1

Thus, the probability that x assumes a value less than three standard deviations from the mean is 1.

Learn more about the uniform distribution here:

https://brainly.com/question/13233983

#SPJ4

when filing taxes what do you need to know

Answers

Answer:

You must know all forms of additional payment and expenses, like medical bills and community expenses that can happen at any given time.

                                              ~Hope it helps~

                                                  ~Be great~

Margaret is building storage boxes. each box will have a length of 8 feet, a width of 512 feet, and a height of 412 feet. a pint of paint covers 50 square feet. how many pints of paint does margaret need to buy in order to paint 3 boxes? 7 pints 10 pints 12 pints 13 pints

Answers

The surface area of a cuboid is the area of all the six faces of a cuboid. The Paint that is required to paint 3 boxes is 13 pints.

What is the surface area of a cuboid?

The surface area of a cuboid is the area of all the six faces of a cuboid. It is given by the formula,

[tex]\rm \text{Surface area of the box}= 2[(Length \times width)+(Width \times Height)+(Length \times height)][/tex]

As it is given the dimensions of the storage box are a length of 8 feet, a width of 5 1/2 feet(5.5 feet), and a height of 4 1/2 feet(4.5 feet). Therefore, the surface area of the box can be written as,

[tex]\rm \text{Surface area of the box}= 2[(Length \times width)+(Width \times Height)+(Length \times height)][/tex]

[tex]\rm \text{Surface area of the box}= 2[(8\times 5.5)+(5.5\times 4.5)+(8 \times 4.5)] = 209.5\ ft^2[/tex]

As it is given that the surface area that can be covered with a pint of paint is 50 square feet, therefore, the paint that will be required to paint 209 square feet is,

[tex]\text{Paint Required} = \dfrac{\text{Total area that is needed to be paint}}{\text{Area covered in a pint of paint}}[/tex]

[tex]\rm \text{Paint Required} = \dfrac{209.5}{50} = 4.19\ pints[/tex]

Now, we know that the surface area of the box is 209 square feet, while the paint required to paint a complete box is 4.19, therefore, the paint that will be required to paint 3 boxes will be,

[tex]\text{Paint required to paint 3 boxes} = 3 \times 4.19 = 12.57 \approx 13[/tex]

Hence, the Paint that is required to paint 3 boxes is 13 pints.

Learn more about Surface Area of Cuboid:

https://brainly.com/question/26403859

Walmart has jeans on sale for $42.89 the regular price is $59.99 what’s the savings before tax

Answers

59.99 - 59.99 x saving rate = 42.89

with saving rate = r%

59.99 - 59.99 x r% = 42.89

so 59,99 ( 1 - r%) = 42.89

1 - r% = 42.89 : 59.99

1 - r% = 0,7150

r% = 1 - 0,7150

r = 28,5%

The perimeter of the shape below is 24. One side is 5 in. What is the missing side?

Answers

Answer:

14

Step-by-step explanation:

5+5=10 and 7+7=14 and 14+10=24

The path from the whales to the sharks is parallel to the path from the penguins to the stingrays. What is the distance between the penguins and the stingrays? StartFraction 81 Over 7 EndFraction feet 28 feet 45 feet 63 feet.

Answers

The distance between the penguins and the stingrays which is parallel to the path from the whales to the sharks is 28 ft.

What is proportional segment between parallel lines?

In two triangle in which the one side of the first triangle is parallel to the one side of the other triangle, two similar triangle formed.

Due to this similar triangle the segment formed by the parallel line are proportional segment.

The path from the whales to the sharks is parallel to the path from the penguins to the stingrays.

The map of the zoo is attached below.

The distance from whale to shark is 18 ft, and this side is parallel to the path from the penguins to the stingrays. Suppose the distance between the penguins and the stingrays is x meters.

Thus, in the given triangle, the ratio of these two sides will be equal to the ratio of their corresponding sides. Hence,

[tex]\dfrac{x}{18}=\dfrac{42}{27}\\x=\dfrac{42}{27}\times18\\x=28\rm\; ft[/tex]

Thus, the distance between the penguins and the stingrays which is parallel to the path from the whales to the sharks is 28 ft.

Learn more about the similar triangle here;

https://brainly.com/question/14285697

Answer:

28

Step-by-step explanation:

Did on edge 2022

Find all real $x$ that satisfy $$(2^x - 4)^3 (4^x - 2)^3 = (4^x 2^x - 6)^3. $$

Answers

The polynomial-like expression is satisfied by the real value x = 1.

How to determine the real solution of a polynomial-like expression

In this question we must apply the concepts of logarithms and algebra properties to solve the entire expression. Initially, we expand the right part of the expression:

[tex](2^{x}-4)^{3}+(4^{x}-2)^{3} = (4^{x}+2^{x}-6)^{3}[/tex]

[tex](2^{x}-4)^{3} + (4^{x}-2)^{3} = [(2^{x}-4)+(4^{x}-2)]^{3}[/tex]

[tex](2^{x}-4)^{3}+(4^{x}-2)^{3} = (2^{x}-4)^{3}+3\cdot (2^{x}-4)^{2}\cdot (4^{x}-2)+3\cdot (2^{x}-4)\cdot (4^{x}-2)^{2}+(4^{x}-2)^{3}[/tex]

[tex]3\cdot (2^{x}-4)^{2}\cdot (4^{x}-2)+3\cdot (2^{x}-4)\cdot (4^{x}-2)^{2} = 0[/tex]

[tex]2^{x}-4 + 4^{x}-2 = 0[/tex]

[tex]2^{x}\cdot 2^{x} + 2^{x}-6 = 0[/tex]

[tex]u^{2}+u - 6 = 0[/tex]

[tex](u+3)\cdot (u-2) = 0[/tex]

Hence, the roots of the pseudopolynomial are [tex]u_{1} = -3[/tex] and [tex]u_{2} = 2[/tex]. Only the second one have a real value of x. Hence, we have the following solution:

[tex]2^{x} = 2[/tex]

[tex]x\cdot \log 2 = \log 2[/tex]

[tex]x = 1[/tex]

The polynomial-like expression is satisfied by the real value x = 1. [tex]\blacksquare[/tex]

To learn more on logarithms, we kindly invite to check this verified question: https://brainly.com/question/24211708

Simplify:
Q1) 4k – 8p + 4k - 5p

Answers

Answer:

- 13p + 8k

Step-by-step explanation:

[tex]4k-8p+4k-5p[/tex]

[tex]\mathrm{Group\:like\:terms}[/tex]

[tex]=-8p-5p+4k+4k[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:-8p-5p=-13p[/tex]

[tex]=-13p+4k+4k[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:4k+4k=8k[/tex]

[tex]=-13p+8k[/tex]

[RevyBreeze]

6. On Marika's 8th birthday, in 2004, her father said, "My age is now four times your age."
In what year will Marika's father be able to say, "My age is now three times your age," on
Marika's birthday?

Answers

Answer:

2008

Step-by-step explanation:

when she is 12 (4 years after 2004) her dad will be 36, which is 3 x 12, therefore, in 2008 he will be able to say this.

Answer:

  2008

Step-by-step explanation:

The difference in their ages is ...

  4m -m = 3m = 3(8) = 24 . . . years (Marika was 8 in 2004)

__

Marika's age when the father was 3 times her age was ...

  3m -m = 2m = 24 . . . years

  m = 12 . . . . . Marika was 12 when her father was 3 times her age

That is 12 -8 = 4 years from 2004, so it will be true in 2008.

Which expression is the factorization of x2 10x 21?

Answers

The factorization of the given expression [tex]\rm x^2+10x+21[/tex] is (x+3)(x+7) the option first is correct.

It is given that the expression [tex]\rm x^2+10x+21[/tex]

It is required to find which expression is the factorization of the given expression, the options are:

a) (x + 3)(x + 7)

b) (x + 4)(x + 6)

c) (x + 6)(x + 15)

d) (x + 7)(x + 14)

What is polynomial?

Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.

We have an expression:

[tex]\rm x^2+10x+21[/tex]

[tex]\rm x^2+7x+3x+21[/tex]  

Breaking 10x into 7x and 3x because the multiplication of 7x and 3x is [tex]\rm 21x^2[/tex] and the addition is 10x.

[tex]\rm x^2+7x+3x+21\\\\\rm x(x+7)+3(x+7)\\\\\rm (x+7)(x+3)[/tex]or

[tex]\rm (x+3)(x+7)[/tex]

Thus, the factorization of the given expression [tex]\rm x^2+10x+21[/tex] is (x+3)(x+7) the option first is correct.

Learn more about Polynomial here:

brainly.com/question/17822016

if brainly doesn't let me put this question..

Answers

Answer:

8-4+9+3+6-6=36 this is my answer

Can someone work this one out with me please

Answers

Answer:

46°

Step-by-step explanation:

Since the side mn is tangent, the angle in M is a right angle. The sum of internal angles needs to add to 180°, so subtacting you're left with 46°

Hi there!

Since MN is tangent to Circle K, we know that MK and MN are PERPENDICULAR.

Therefore, m∠M = 90°.

Since we now know two angles in the right triangle, we can solve for m∠K knowing that angles in a triangle sum up to 180°.

180° = ∠M + ∠N + ∠K

180° = 90° + 44° + ∠K


Combine like terms:
180° = 134° + ∠K

Subtract:
180° - 134° = ∠K

∠K = 46°

PLEASE HURRY

Solve the inequality and express your answer in interval notation.
x2 + 8x-7<0

Answers

It’s A or C
I’m not sure if you’re supposed to use brackets or parentheses

The amount of money you have after investing $400 for 8 years and $600 for 6 years at the same interest rate is represented by 400x^6 + 600x^6. where x is the growth factor. classify the polynomial by the number of terms. what is the degree?

Answers

The polynomial 400x⁶ + 600x⁶ has a degree of 6 and is a binomial.

What is a polynomial?

Polynomial is an expression that involves only the operations of addition, subtraction, multiplication of variables.

Polynomials are classified based on degree as linear, cubic, quadratic, etc.

A polynomial with two terms is known as a binomial. Hence:

The polynomial 400x⁶ + 600x⁶ has a degree of 6 and is a binomial.

Find out more on polynomial at: https://brainly.com/question/2833285

Help me with this question on congruent triangles? 20 points

Answers

Answer:

a) 5.7 cm

b) 3.05 cm

Step-by-step explanation:

a)

Since BE is parallel to CD,

Then AB/AC = BE/CD

So Length of CD = 12.3/8.2 x 3.8 = 5.7 cm

b)

AB/AC = AE/AD

So length of AE = 8.2/12/3 x 9.15 = 6.1 cm

ED = AD - AE = 9.15 - 6.1 = 3.05 cm

1.) 7x+8=29
2.) 6x+6=36
3.) 7+6x=19
how do you solve these problems?

Answers

Answer:

1.) x= 3

2.) x=5

3.) x=2

Step-by-step explanation:

1) 7x+8=29

( -8). 7x=21. (-8)

(÷7). x=3. (÷7)

2). 6x+6=36

6x=30. subtract 6

x=5. divide by 6

3). 7+6x=19

6x+7=19. rearrange it

6x=12. subtract 7

x=2. divide by 6

[tex] \huge\mathbb\red{ANSWER} [/tex]

[tex] \mathsf \purple{7x + 8 = 29}[/tex]

[tex] \mathsf \pink{7x + 8 - 8 = 29 - 8}[/tex]

[tex] \mathsf \purple{7x = 21}[/tex]

[tex] \mathsf \pink{ \frac{7x}{7} = \frac{21}{7} }[/tex]

[tex] \mathsf \purple{x = 3}[/tex]

[tex] \mathsf \red{6x + 6 = 36}[/tex]

[tex] \mathsf \green{6x + 6 - 6 = 36 - 6}[/tex]

[tex] \mathsf \red{6x = 30}[/tex]

[tex] \mathsf \green{ \frac{6x}{6} = \frac{30}{6} }[/tex]

[tex] \mathsf \red{x = 5}[/tex]

[tex] \mathsf \blue{7 + 6x = 19}[/tex]

[tex] \mathsf \orange{ - 7 + 7 + 6x = 19 - 7}[/tex]

[tex] \mathsf \blue{6x = 12}[/tex]

[tex] \mathsf \orange{ \frac{6x}{6} = \frac{12}{6} }[/tex]

[tex] \mathsf \blue{x = 2}[/tex]

PLEASE HELP 100 POINTS!!!
Identify the vertex of the function graphed below. A. (1,1) B. (2,2) C. (3,1) D. (0,-2)

Answers

Answer:

See below.

Step-by-step explanation:

The vertex is the point where it stops the arch. In this case, the answer would be (2,2).

-hope it helps

Answer:

B: (2, 2)

Step-by-step explanation:

it's the point where the parabola changes directions

Help please this is complicated

Answers

Answer:

2=29

3=x?

kris kross

2x=3×29

2x=87

divide both sides by two

x=43.5

and

3=43.5

so find by this method

Keisha cuts a 2/3 foot rope into 1/12 foot piecesz how many pieces of rope was she able to cut?

Do I divide 2/3 by 1/12?

Answers

Answer:

yes its 24/3 but reproduce is 1/8

Step-by-step explanation:

Maya bought 20 ounces of nuts at the store. How much is this in pounds? Write your answer as a whole number or a mixed number in simplest form. Include the correct unit in your answer.

Answers

Answer:

1.25 pounds

Step-by-step explanation:

20 divided by 16 because 16 ounces are in a pound

Find the perimeter.
Write your answer as a fraction or as a whole or mixed number.
3
mm
4
M
3
mm
|*
mm
3
mm
Last one for today thank youu

Answers

Answer:

3mm

Step-by-step explanation:

4 (3/4)

4x3/4

=3

brainiest please

Answer:

3 mm

Step-by-step explanation:

We know,

[tex]{\longrightarrow \qquad \boldsymbol{\pmb{Perimeter_{(square)} \it=4a }}}[/tex]

Where,

a is the side length of the square. Here, a = [tex] \sf \: \dfrac{3}{4} [/tex] mm

Now, Substituting the values in the formula :

[tex]{\longrightarrow \qquad {\rm{Perimeter_{(square)} = \it4 \times \it \dfrac{3}{4} }}}[/tex]

[tex]{\longrightarrow \qquad {\rm{Perimeter_{(square)} = \it \cancel4 \times \it \dfrac{3}{ \cancel4} }}}[/tex]

[tex]{\longrightarrow \qquad {\boldsymbol {\pmb{Perimeter_{(square)} = 3 }}}}[/tex]

Therefore,

The perimeter of the square is 3 mm

Is my answer correct?

Answers

Answer:

No, x = 3 in

Step-by-step explanation:

The area of the rhombus is half the product of its diagonals

A = 1/2(2x*16) = 4816x = 48x = 48/16x = 3

Question:- Find XGiven:- A rectangle consist of 4 identical trianglediagonals of rectangle are at 90° to each other length of half of the one diagonal is 8 inlength of the half of the other diagonal is X in Area of the rectangle = 48 in²Base of triangle = 8inheight of the triangle = x in

Answer :- X = 3 in

Formula :- Area of the rectangle is equal to the sum of the area of the all four the triangle

[tex]area \: of \: rectangle \\= 4 \times area \: of \:identical \: triangle[/tex]

Explanation :-

[tex]area \: of \: rectangle =\\ 4 \times area \: of \:identical \: triangle[/tex]

[tex]48 {in}^{2} = 4 \times \frac{1}{2} \times base \times height \\ 48 {in}^{2} = 2 \times base \times height \\ \frac{48}{2} = 8 \times height \\ \frac{ \cancel{48} {}^{ \: \: 24} }{ \cancel{2}} = 8 \times height \\ \frac{24}{8} = height \\ \frac{ \cancel{24} {}^{ \: \: 3} }{ \cancel{8}} = height \: \\ height = x = 3in \: [/tex]

QUESTION 1 1.1 Consider the quadratic sequence : 8; 18; 30; 44 ... 1.1.1 Write down the next two terms of the sequence. 1.1.2 Calculate the nih term of the sequence. 1.1.3 Which term of the sequence is equal to 330?

Answers

Answer:

Below in bold.

Step-by-step explanation:

8 18 30 44

the differences are 10 12 14 .etc

1.1.1  Next 2 terms are  44+ 16 = 60 and 60+ 18= 78.

1.1.2  8 =  1^2 + 7

       18 = 2^2 + 14

       30 = 3^2 + 21

       44 = 4^2 + 38

So the nth term = n^2 + 7n.

1.1.3 n^2 + 7n = 330

n^2 + 7n - 330 = 0

(n +  22)(n - 15) = 0

n =  -22, 15

As  the term sequence must be positive the answer is 15.

what is the area of the triangle in square yards 10 3/4 yards and 7 yards

Answers

The answer isH
A=hbb
2

i need help with this

Answers

Answer:
Answer: (b) 5.

Step-by-step explanation:

Simple and best practice solution for (c-5)d=2 equation. ... If it's not what You are looking for type in the equation solver your own equation and let us solve it. ... 2 + 5d cd = 2 + 5d Divide each side by 'd'. c = 2d-1 + 5 Simplifying c = 2d-1 + 5 Reorder ... 11/4-t8 | | (3x^2+5x+2)+(4x^2+3x+2)= | | 4Y+7-Y=4+2Y-8 | | 10x+190=360 ...

For example, let's say with have the equation x+5 ... If we evaluate the same expression when x=10, we get 3(10)+7=30+7=37. Here's a variable expression with two variables: 3x−2y ... How do you express the phrase "a number z divided by 19" as an algebraic expression? ... How do you simplify 11c+5d−9c−9d?Let the number of cows be x and their legs be 4x. ... or, x = 7 [dividing by 2 on both sides]. ... The roots of the equation ax2 + bx + c = 0 will be reciprocal if: ... A circle of radius 10 inches has its center at the vertex C of an equilateral triangle ABC ... (a) 15, (b) 30, (c) 60, (d) 90, (e) 120. Circle Problem Answers. Answer: (b) 5.

Other Questions
I need help please... :) Thank you so much The fixed budget indicates direct labor costs of $27,500. Actual direct labor costs were $27,000. The variance is: 23.-28. In a manner similar to Example 1, (a) identify input andoutput consistent with the general proportional model; (b) writean equation for the model; (c) determine a numerical value for theconstant k; and (d) solve the problem.23. The maximum distance that you can see from the top of a tallbuilding is (directly) proportional to the square root of theheight of the building. You can see approximately 41 mi fromthe Canadian National Tower lookout level, which is 1,135 fttall. How far can you see from the top of the Sears Tower inChicago (now the Willis Tower), which is 1,454 ft tall?23. How far can you see from the top of the sears tower in Chicago, which is 1,454 ft tall? 1s22s22p63s23p3what element does this represent Please help I have a meeting with my teacher and one of the study guide questions is "how can we interpret fractions" please help i'm giving 40 points and ill also give brainliest if you could just explain what it means HELP ME OUT PLS!!!!!!!2) The rotational periods of four planets are listed in the table. Which of these planets has the SHORTEST day? A) Earth B) Jupiter C) Saturn D) Uranus Arsenic-74 is used to locate brain tumors. It has a half-life of 17.5 days. 90 mg wereused in a procedure. Write an equation that can be used to determine how much ofthe isotope is left after x number of half-lives.How much would be left after 70 days? please help me ( if you get it right i will rate you 5/5) Which sentence uses a comma or commas correctly?I need chicken lettuce guacamole, tortillas, and cheese to make my taco.Violets, roses, lilacs, and tulips bloomed in Robbies garden.It can be difficult to know when to use commas semicolons, or dashes.Buddy delivered cupcakes, eclairs, cannolis, and, cookies. The scores at a golf course recorded last year followed a normal distribution with mean 78 andstandard deviation 11. you choose an srs of 15 scores and calculate xbar = mean score. which ofthe following are the mean and standard deviation of the sampling distribution of x bar? ?How can friends, family members, or teammatesincrease the likelihood of you reaching your goals? how did scientific revolution lead to the revolutionary war A ball that has a mechanical energy of 65 J haas 10 j of kinetic energy. The ball has j of potential energy How can stasis questions help you when you are creating an argument?Question 3 options:a) Stasis questions can help you identify fallacies of reasoning that interfere with the logic of your argument.b) Stasis questions can help you build common ground with your audience so that the argument is more persuasive.c) Stasis questions can help you increase your credibility so that your audience is more inclined to believe your argument.d) Stasis questions can help you identify the question at the heart of your argument, making it easier to see whether the question has been adequately answered. Why wouldnt you move during an earthquake? Which material would most likely contribute to the formation of humus? A. basalt B. granite C. grass D. salt Solve by completing the square brainliest if it is right Order these numbers from least to greatest. 5.1072, 5.27, 5.207, 5.1 This is for pe please just record your self and you can cover you face if you want to. just follow these movements and get brainliest Thanks!