What is the volume of the rectangular prism?

Answer:

A

Step-by-step explanation:

using the altitude- on- hypotenuse theorem

( leg of large Δ )² = (part of hypotenuse below it ) × ( whole hypotenuse ) , so

x² = w × (w + z) = w(w + z) ← take square root of both sides

x = [tex]\sqrt{w(w+z)}[/tex]

The expression that represents the value of 'x' will be x = √[w(w + z)]. Then the correct option is A.

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

The triangles ΔABC and ΔBCD are similar triangles. Then the ratio of the corresponding sides will be constant.

Then the equation is given as,

x / (w + z) = w / x

Simplify the equation for 'x', then the equation is written as,

x / (w + z) = w / x

x² = w × (w + z)

x = √[w(w + z)]

The expression that represents the value of 'x' will be x = √[w(w + z)]. Then the correct option is A.

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Answer:

Solve the rational equation by combining expressions and isolating the variable

x

.

Exact Form:

x

=

−

22

−

2

√

526

27

,

−

22

+

2

√

526

27

Decimal Form:

x

=

0.88405110

…

,

−

2.51368073

…

Step-by-step explanation:

Answer:

right all about i think all are right

Answer:

Answer is 72°. Hope it helps.....

Jill and Cheryl took 12 years and 18 years, respectively, to double their money.

Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.

Jill invested $500 in an account with a compound interest rate of 6%.

Cheryl invests $600 in an account with a compound interest rate of 4%.

The number of years each doubles their money. Using the relation of 72.

[tex]\rm t = \dfrac{72}{r}[/tex]

where r is the interest rate and t be the time

The time for the Jill will be

[tex]\rm t = \dfrac{72}{6}\\\\t = 12\\[/tex]

The time for the Cheryl will be

[tex]\rm t = \dfrac{72}{4}\\\\t = 18\\[/tex]

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Answer:

y=-0.6x+1.8

Step-by-step explanation:

Since the line is perpendicular to that line, it has the same slope. So, the slope is -3/5. Also, it passes through the point 3, 0. So, y=-3/5x + b. To find the y intercept, lets solve the equation with the value of x being the x intercept. 0=-3/5(3)+b. 0=-9/5+b. Add 9/5 to both sides. b=1 4/5 So, the answer is y=-0.6x+1.8

Answer:

96

Step-by-step explanation:

L x W x H

8 x 4 x 3 = 96

The inequalities have no solution since their graph does not intersect or overlap.

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.

It is mostly denoted by the symbol <, >, ≤, and ≥.

The inequality given is y<-3x-2 and y>-3x+8, if we plot the graph of the two inequalities, the graph of the inequalities will never meet at any point.

Hence, The inequalities have no solution since their graph does not intersect or overlap.

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Answer:

B. There is no solution.

Step-by-step explanation:

And katie stop deleting my answers

Answer:

your answer would be 929.24856 or

≈ 929.2

Step-by-step explanation:

tan15∘ = opposite/adjacent​= x/17

tan15 ∘= x/17

tan15 /1 = x/17

1/2= 4.55514 ·17

=38.718689

38.718689 · 2 = 77.43738

(77.43738)(12)(multiply the 2)

and your answer should then be....929.24856 or 929.2

i hope i was able to help you!!!

The area of the regular pentagon is 929.2486 or 929.2.

A pentagon is geometrical shapes with" five sides and five angles". The 'pen' represents five and 'gon' represents 'angle' .

According to the question,

The regular pentagon has 'O' as its center and radius of regular pentagon is 17.

Formula for Area of regular apothem:1/2×(perimeter of polygon)× apothem

Find the length of the apothem

tan θ = [tex]\frac{opposite}{adajacent}[/tex]

To find θ

The sum of the angles divided by number of sides and to find sum of the angles is (n-2)180.

(12-2)180 = (10)(180).55

             = 1800.

To find entire interior angle 1800 divided by 8 we get 225.For the triangle  at the bottom of the diagram, the angle is half tha is 225 divided by 5 is 15°.  

tan 15° = [tex]\frac{x}{17}[/tex]

(0.2679) 17 = x

x = 4.5543

Perimeter of the polygon = (4.5543)(17)

                                          = 77.4231

Formula for Area of regular apothem:1/2×(perimeter of polygon)× apothem

=77.4231 × 12

=929.2476

Hence, The area of the regular pentagon is 929.2486 or 929.2.

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Answer:

C) 3.

Step-by-step explanation:

(3^2 + 2^2) - 2(3^2 - 2^2)

= (9 + 4) - 2(5)

= 13 = 10

= 3.

Answer:

C) 3

Step-by-step explanation:

When finding the value for this, we would simply by plugging in the values for the given variables and simplify the equation.

( c^2 + d^2 ) - 2 ( c^2 - d^2 )

( 3^2 + 2^2 ) - 2 ( 3^2 - 2^2 )

( 9 + 4 ) - 2 ( 9 - 4 )

( 13 ) - 2 ( 5 )

( 13 ) - 10

3

Answer:

Step-by-step explanation:

Find all the expenses:

potatoes: $6

pie: $8.4

strawberry: $4

apples: $1.49 * 5 => $7.45

total=> 6 + 8.4 + 4 + 7.45 = $25.85

Rule:

$40 = 100%

$25.85 = x%

=> x = ($25.85 * 100%) / $40 = 64.625%

hey double check if I added wrong, and if it is repeat the calculation,

hope it helps

Answer:

10

Step-by-step explanation:

Since a rectangle has 2 sets of congruent sides we can set up the equation:

48=2x+2y

We have our x value/length (14) so we can plug that in to the equation.

48=2(14)+2y

Then we have to simplify

48=28+2y

20=2y

Then simply solve for the y value, which is your width

10=y

A technique of expressing an equation in the most efficient form possible while altering the quality of the underlying statement is known an algebraic equation.

⇒ (- 20 - 3i) - (- 22 - 1i)

⇒ (- 20 - 3i + 22 + 1i)

⇒ (2  - 2i)

Therefore the simplification of the given expression is "(2  - 2i)"

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The eggs are illustrations of normal distributions, and Jen's egg is more likely to be classified as large egg

The given parameters are:

Jen's Hen Farm

Rick's Chick Farm

The range of the egg distribution in both samples is calculated using μ ± σ

For Jen, we have:

μ ± σ = 2.11 ± 0.08

Expand

μ ± σ = (2.11 - 0.08, 2.11 + 0.08)

This gives

μ ± σ = (2.03, 2.19)

For Rick, we have:

μ ± σ = 2.15 ± 0.07

Expand

μ ± σ = (2.15 - 0.07, 2.15 + 0.07)

This gives

μ ± σ = (2.08, 2.22)

So, we have:

Jen = (2.03, 2.19): Range = 2.19 - 2.03 = 0.16

Rick = (2.08, 2.22): Range = 2.22 - 2.08 = 0.14

Eggs classified as large have the weight 2.0 < m ≤ 2.25

0.16 is greater than 0.14.

Hence, Jen's egg is more likely to be classified as large egg

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Considering it's dimensions given as improper fractions, the area of the rectangle is of 3.28125 in².

The area of a rectangle of length l and width w is the multiplication of these dimensions, that is:

A = lw.

In this problem, the dimensions in inches are given as follows.

Hence the area in squared inches is given by:

A = lw = 2.5 x 1.3125 = 3.28125 in².

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The vertex of the function of g(x) is (5, -37).

The formula for the vertex form of a parabola is f(x) = a (x - h) 2 + k where: a = vertical stretch or shrink of the parabola and (h, k) are the (x, y) coordinates of the vertex of the parabola.

The vertex form of the parabola is given by;

[tex]\rm g(x) = 10x^2-100x+213\\\\g(x)=10(x-5)^2-37[/tex]

On comparison with the standard equation of parabola the vertex of the parabola are;

h = 5 and K = -37

Hence, the vertex of the function of g(x) is (5, -37).

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Answer:

---> The vertex of the graph is (5, –37).

--->  The parabola has a minimum.

--->  The parabola opens up.

Step-by-step explanation:

IT'S CORRECT ON PRE-TEST / ON TEST

Answer:

see below

Step-by-step explanation:

               15 x (12+2) = 210 square feet

Based on the information given, it can be deduced that the monthly payment for the insurance plan will be A. $50.04.

insurance simply means protection from financial loss. It's simply used on hedging against the risk of uncertainty.

A deductible simply means the amount of money that an individual will pay towards an insured loss. From the table, the monthly payment for the insurance plan will be $50.04.

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Answer:

A

Step-by-step explanation:

Answer:6

Step-by-step explanation:

5.967 is about 6 because 5.9 9 is above 4 so we round up.

Answer:

92.86%

Step-by-step explanation:

Total questions, T = 50.

Colin thought 8 questions were right.

Colin got 5 questions right that he thought he got wrong.

Total score, s = 45.

So, actual number of questions which are wrong are 5.

Score according to him = 50 - 8 = 42.

Therefore, percentage accuracy he had with predicting his scores is 92.86%.  

Answer:

organism

Step-by-step explanation:

all the other anwsers are what is inside a organism

well, the subtotal or pre-tax bill is $23.50, now let's add the 8% tax and

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{8\% of 23.50}}{\left( \cfrac{8}{100} \right)23.50}\implies 1.88[/tex]

so the post-tax bill is 23.50 + 1.88 = 25.38, and Jackie's tip is 20% of that

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{20\% of 25.38}}{\left( \cfrac{20}{100} \right)25.38}\implies 5.076\qquad \approx 5.08[/tex]

Answer:

2nd option

Step-by-step explanation:

given f(x) then f(x± a) is a horizontal translation of f(x)

• If + a then a shift to the left of a units

• If - a then a shift to the right of a units

g(x) = | x + 7 | ← with a = + 7

then g(x) is f(x) shifted 7 units to the left

Answer:

I think it is 20 pi units.

Step-by-step explanation:

Given:

h= 5 units

Base area (its base is a circle. And we know, Area of the circle is pi*r^2 )

So now,

Volume of cylinder= pi*(r)^2 * h

                               = (pi*r^2) * h (the base area is given as 4 pi, so we substitute it )

                               = 4pi* 5

                               = 20 pi units.

Hope it helps........

Using proportions, it is found that the volume is 64 times larger than the volume of the original figure.

A proportion is a fraction of a total amount.

In this problem, each of the 3 dimensions will be four times greater, hence, the change in the volume will be given by:

V = 4³ = 4 x 4 x 4 = 64.

The volume is 64 times larger than the volume of the original figure.

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Answer:

$20.20

Step-by-step explanation:

First Convert 20% into a decimal, by dividing it by 100

Percent = out of 100

20/100 = 0.2

Now, multiply the decimal (0.2) with the bill amount ($100.99):

0.2*100.99

$20.198 <== *remember, we are using money, so we round to the nearest cent (dime)

$20.20 <== how much tip you want to leave

How much you pay altogether:

(Bill + tip)

100.99 + 20.20

$121.19

Hope this helps!

Step-by-step explanation:

Check the attached photo out