Find the indicated side of the
triangle.
a
7.
30°
D
b = [ ? IV

Answer:

3.6 cm

Step-by-step explanation:

5 divided by 18 is 3.6. so its 3.6

Answer:

Step-by-step explanation:

A cube has 6 square faces with equal areas by definition. So a cube with a surface area of 96 units would have the surface area of each side be 96/6 = 16 square units.

Because each face of a cube is a square, it has 4 equal sides. This means that each side of the square is 16/4 = 4 units in length. Since each side of the square face is also an edge of the cube, and the way to calculate the volume of a cube is (length of an edge)^3, this means that the volume of the cube must be 4^3 = 64 cube units.

Volume of Cube = 64 cube units.

The volume of the rectangular prism formed by 16 cubes of each surface area of 96 square inches is 1024 inches³

volume of a cube = l³

where

Therefore,

Surface area of a cube = 6l²

Hence,

96 = 6l²

l² = 96 / 6

l = √16

l  = 4 inches

Therefore,

volume of each cube = 4³ = 64 inches³

16 cubes forms the rectangular prsim. Therefore,

volume of rectangular prism = 16(64) = 1024 inches³

learn more on volume here: https://brainly.com/question/22992939

Answer:

-5

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

15 people

Step-by-step explanation:

let x=total # of people on the team

80%=12

80/100=12/x

cross multiply

80x=1200

division property of equality (divide both sides by 80)

x=15

There are 15 people on the team.

Answer:

3d one

Step-by-step explanation:

Answer:

Names that describe the shape- Trapezoid, Quadrilateral

Names that don't describe the shape- Square, Rectangle, Parallelogram and rhombus  

Step-by-step explanation:

Answer: y= 100x +1500

Step-by-step explanation:

The 1500 value never changes, so it doesn’t need a variable

The 100 value will change based on how many he sells, so it needs a variable

Answer:

its the first one.

Step-by-step explanation:

the 1500 stays the same so it would be 100×how ever many tractors so 100z+1500

Answer:

1. 3

2. 2 ⅖

3. 1 3/7

4. 3 ⅕

5. 5

Step-by-step explanation:

basically to find the answer, just see how many times the bottom number can go into the top number, if its not even just put the extra into a fraction ex question 2 3 and 4.

Answer:

5

Step-by-step explanation:

,

Answer:

2145.5m^3

Step-by-step explanation:

Answer:

the volume of a cube is equal to s3, where s is the length of a given side of the cube. Since the sides of a cube are all the same, the surface area of the cube is equal to 6 times the area of one face.

Step-by-step explanation:

total surface area prism=Laternal surface area +2(curved sectional area)

volume =area of base×height

Answer:

Step-by-step explanation:

The equation of the nth term of the arithmetic sequence is: [tex]a_n =a_1+d(n-1)[/tex]

d = -5 - (-8) = - 5 + 8 = 3

a₁ = -8

Therefore:

               [tex]a_n =-8+3(n-1)\\\\a_n =-8+3n-3\\\\a_n =3n-11[/tex]

Answer:

D & E

Step-by-step explanation:

150(5)+45h=1155   D

750+45h=1155

45h=405

h=9 E

Answer:

80

Step-by-step explanation:

14 × 20 = 280

1400 - 280 = 1120

1120 ÷ 14 = 80

Here is a video to help you with your question:

https://youtu.be/WaeD3qKc7Jc

HERE I FOUND IT

Find the LENGTH of Arc AB.

Question:

If a stack of 40 nickels fits snugly in the coin wrapper shown, how thick is 1 nickel? Round to the nearest hundredth.

Coin wrapper volume = 27,480 mm^3

Coin diameter = 21.18 mm

Answer:

The thickness of a coin is: 1.95mm

Step-by-step explanation:

Given

[tex]V = 27480mm^3[/tex] -- volume

[tex]d = 21.88mm[/tex] --- the diameter

Required

The thickness of each coin

This implies that, we calculate the height of each coin.

First, calculate the radius (r) of the coin

[tex]r = \frac{1}{2}d[/tex]

[tex]r = \frac{1}{2} * 21.18mm[/tex]

[tex]r = 10.59mm[/tex]

The volume of the coin is calculated as:

[tex]V =\pi r^2H[/tex]

Where H represents the total heights of the 40 coins

[tex]27480 = 3.14 * 10.58^2 * H[/tex]

Solve for H

[tex]H = \frac{27480 }{ 3.14 * 10.58^2}[/tex]

[tex]H = \frac{27480 }{ 351.480296}[/tex]

[tex]H = 78.1836145944[/tex]

The height of a coin is calculated by dividing H by 40

[tex]h = \frac{78.1836145944}{40}[/tex]

[tex]h = 1.95459036486[/tex]

[tex]h \approx 1.95mm[/tex]

Hence, the thickness of a coin is: 1.95mm

Answer:

[tex]1\frac{87}{100}[/tex]

Step-by-step explanation:

A decimal is another way of representing a fraction such that the denominator of the fraction is a power of (10).

In the number (1.87), the number goes two places behind the decimal point, which means that the denominator of the fraction is (100), and the numerator is the given number excluding the decimal point.

[tex]\frac{187}{100}[/tex]

Simplify, write as a mixed number,

[tex]1\frac{87}{100}[/tex]

Answer:

siudsckjznc

Step-by-step explanation:

Answer:

y = 2x + 8

Step-by-step explanation:

We want an equation of the form y = mx + b (slope-intercept).

Look what happens to x as we go from (0, 8) to (1, 10):  x increases by 1.  This is the 'run' as we calculate the slope.

At the same time, y increases by 2 from 8 to 10.

The slope is defined as m = rise / run, and here is m = 2/1, or m = 2.

Write out y = mx + b and substitute 2 for m:  y = 2x + b.

To find the y-intercept, substitute 0 (from (0, 8) ) for x and 8 for y:

8 = 2(0) = b, so b = 8, and the desired equation is

y = 2x + 8

Answer:

2471.81

Step-by-step explanation:

Let I be the interest, r the annual rate and P the principal. Then:

I = P(r)^2 = 5460

I = P(r)^4 = 12060.6

so r^2 = P(r)^4 /  P(r)^2 = 12060.6/5460

r^2 = 2.2089

r = 1.486

So  P(r)^2 = P* 2.2089 = 5460

P = 5460 / 2.2089 = 2471.81.

Answer: B

Step-by-step explanation: You divide 440 and 4

Answer:

B. 110 yards per minute

Step-by-step explanation:

This is because 110 x 4 is 440 or 110 +110 +100 +110 = 440

Answer : The answer is 15/11 but you can simply this fraction which makes it to a decimal which would be 1.36 ( 36 is repeating )

Answer:

11.75

Step-by-step explanation:

All angles of a right triangle equal 180°.

So you have to do a substitution method to find the value of x.

Which leaves us with: angle 'A' = 5 × 11.75, angle 'B' = ((3 × 11.75) -4), and angle 'C' = 90. If you add all of them together it is equivalent to 180°.

∴ x = 11.75

Answer:

no

Step-by-step explanation:

[3(a-2) / (a+2)(a-2)] - [6a / (a+2)(a-2)] = -3/(a-2)