a.Write a polynomial to find the volume of the
rectangular prism.
b.Find the volume if x =12 feet.

Answer:

[tex] \tan \frac{opposite}{adjacent} [/tex]

21.4

Step-by-step explanation:

tan47° = x/20

1.072=x/20

20×1.072= x/20×20

x =20 ×1.072

x= 21.447

x=21.4

Answer:

B and C are the correct options

The side length of the square with an area of 24 square units will be √24 units. Then the correct options are B and C.

Every one of the sides of a square is consistent. Let 'x' be the side length of the square. Then the region of the square is the square of the side length of the square.

Then the area of the square will be

Area of the square = x² square units

The expression is given below.

⇒ √24

If the area of the square is 24 square units. Then the side length is given as,

x · x = Area

x · x = 24

x² = 24

x = √24

The side length of the square with an area of 24 square units will be √24 units. Then the correct options are B and C.

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Answer:

I think you shade in 6 of the rectangles

Answer:

120

Step-by-step explanation:

One hour is 90 minutes 90/15=6 then you take 20X6=120miles

Answer:

It will travel 120 miles

Step-by-step explanation:

First, convert the hour and half to minutes: 90 minutes.

Then divide 90 with 15: 6

Then since there are 6 sections of 15 minutes, you would multiply 20 times 6 which is 120.

Answer:

9mm

Step-by-step explanation:

34-16=18

18/2=9

Answer:

[tex]Area = 192cm^2[/tex]

Step-by-step explanation:

The given information can be interpreted as:

[tex]Base = 24cm[/tex] --- lower side

[tex]Slant\ Height = 9cm[/tex] --- right side

[tex]Height = 8cm[/tex] --- dashed line

Required

Determine the area

The area of parallelogram is:

[tex]Area = Base * Height[/tex]

[tex]Area = 24cm * 8cm[/tex]

[tex]Area = 192cm^2[/tex]

Answer:

she like

Step-by-step explanation:

faygo u gettin bigger

Answer:

Step-by-step explanation:

it would be -2 ;)

Answer:

The answer is below

Step-by-step explanation:

From the image, we can see that DC is parallel to AB.

Step 1:

Alternate interior angles are angles formed at the inner corners of intersection on opposite sides of transversal when two parallel lines are intersected by a transversal.

Since Line AB is parallel to line DC and cut by transversal DB. So angles CDB and ABD are alternate interior angles and must be congruent.

Step 2:

DB ≅ BD (reflexive property of congruence)

Step 3:

∠A = ∠C = 90° (right angles, given). But to prove that both triangles are congruent, the correct step 3 is:

Since, ∠A = ∠C = 90° and angles CDB and ABD are congruent. This means that the third angles in the both triangles are also congruent. Hence, angle ADB and CBD are must be congruent.

Step 4:

BD = DB, angles CDB and ABD  are congruent, angle ADB and CBD are congruent.

Therefore,  By the Angle-Side-Angle Triangle Congruence Theorem, triangle BCD is congruent to triangle DAB .

Calculate volume of the prism

20 × 12 × 15

= 3600 in³

divide volume of prism with volume of container

3600 ÷ 400

= 9

9 times

Answer:

Since congruent means that they have the same diameter , i'd say that the answer is 1

Step-by-step explanation:

Answer:

The skier has a faster rate of speed.

Snowboarder: 15m/s

skier: 18 m/s

Step-by-step explanation:

Answer:

the answer would be the second one

Step-by-step explanation:

a congruency symbol consists of a = and a ~

Answer:

LM=JM

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

First u need to do the square 7 times 7 is 49 and one triangle is 70 and divide that by 2 it will equal 35 so there is 4 triangles so times that by 4 is will equal 140 and plus 49 is will equal 189

Answer:

hey

Step-by-step explanation:

option A) i.e. 189 cms

Answer:

B. -1

Step-by-step explanation:

-1

According to the slope formula:

Slope = (y2 - y1)/(x2 - x1)

y2 = 6.1

y1 = 3.1

x2 = -5.5

x1 = -2.5

Therefore:

6.1-3.1/-5.5--2.5

Since negative negative is positive you are left with:

3/-3

Therefore the answer is -1.

Answer:

$20070

Step-by-step explanation:

Given data

Time= 5 years

Principal= $15,000

Rate= 6%

Total amount=  P (1 + i)^t

substitute

Total amount=  15000(1 + 0.06)^5

Total amount=  15000 (1.06)^5

Total amount=  15000*1.338

Total amount=  $20070

Hence the total amount will be $20070

Answer:

[tex]\Huge\boxed{B}[/tex]

Step-by-step explanation:

Hello There!

The area of a rectangle is equal to length times width

2*9=18 so the area of the rectangle is 18 square feet

If a triangle is formed in a rectangle then that triangle is 1 half of the area of the rectangle

18/2=9 so the area of the triangle is 9 square feet

9514 1404 393

Answer:

  b(t) = 36000·e^(0.12t)

Step-by-step explanation:

Continuous growth at a rate of r per time period is modeled by the exponential multiplier e^(rt), where t is the number of time periods. This value multiplies the initial amount (at t=0). In this case, the model would be ...

  b(t) = 36000·e^(0.12t)

where b(t) is the number of bacteria in the colony after t time periods.

Answer:

v = 120

Step-by-step explanation:

If v is inversely proportional to square root of d, then we can write

[tex]v \sqrt{d}[/tex] = k    

If v  = 30 and d = 400, then

30([tex]\sqrt{400}[/tex]) = k

k = 30(20) = 600

Now [tex]v \sqrt{d}[/tex] = 600

If d = 25, then v[tex]\sqrt{25}[/tex] = 600

                         5v = 600

                            v = 120

Answer:

[tex]5 - 4x = - 7[/tex]

Step-by-step explanation:

Let the missing variable be x then yiu will get the answer above

Answer:

3

Step-by-step explanation:

5 - 4x = -7

add 4x to each side of the equation:

5 = 4x - 7

add 7 to each side:

12 = 4x

divide both sides by 4:

x = 3

proof:

5 = 4(3) - 7

5 = 12 - 7

5 = 5

Answer:

4500cm^3

Step-by-step explanation:

We use the normal formula for volume V= L•W•H just changing the H value from 20 to 10 because the water isn't at the full hight

10•30•15=4500

hope this helps <3

Answer:

78

Step-by-step explanation:

im not sure but i think is 78

60+18=78

sorry

3 positive 1 positive

Step-by-step explanation:

D goes 3 units right and it get to 3 Positive and then two units down gets you to 3 Positive and 1 Positive 3,1

Answer:

672 cubes because 8×6×14 equals 672 I hope it helps

Answer:

56.52m

Step-by-step explanation:

This is because pie is commonly substitued as 3.14 and since the formula of a cicumference is piRx2 it would be 56.52

The circumference of the circle is 18π meters.

A circle is a two-dimensional figure with a radius and circumference of 2πr.

The area of a circle is πr².

We have,

The circumference of a circle can be found using the formula:

C = 2πr

where r is the circle's radius and π (pi) is a mathematical constant approximately equal to 3.14159.

Substituting r = 9 m into the formula, we get:

C = 2π × 9

C = 18π m

Therefore,

The circumference of the circle is 18π meters.

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Answer:D

Step-by-step explanation:

Answer:

A) [tex]\frac{13}{20}[/tex]

Step-by-step explanation:

[tex]\frac{13}{20} = 065 = 65%[/tex]%

[tex]\frac{65}{1} = 65 = 100%[/tex]%

[tex]\frac{7}{20} = 035 = 35[/tex]%

[tex]\frac{13}{2,000} = 0.0065 = 0.0065[/tex]%

Answer:

Angle 1: 130

Angle 3: 130

Angle 5: 50

Angle 6:  130

Step-by-step explanation:

If angle 2 is 50, that means 4,5, and 7 are 50 as well

Also, if we know angle 2 is 50, we know 1,3,8, and 6 are 130 since a line is always 180 (so subtract 50)

Let me know if you need more help!!

Answer:

A = $759.23 after 5 years

Step-by-step explanation:

The compound interest formula applicable here is

A = P(1 + r/n)^(nt), where n is the number of compounding periods per year.

Here P = $550, r = 0.065, n = 4 and t = 5.

We get A = $550(1 + 0.065/4)^(4*5), or

             A = $550(1 + 0.01625)^20, or:

              A = $759.23