Find the volume of the prism.
9 in.
9 in.
9 in.

Answer:

Step-by-step explanation:

If your mind works better in degrees than it does radians, as does mine, it will be beneficial to us to see what degree measure this angle is. Convert it to degrees using the fact that 180° = π:

[tex]\frac{2\pi}{3}*\frac{180}{\pi}=120[/tex] degrees

Now that we know that, we can plot that angle in a coordinate plane. The terminal side of the angle lands in quadrant 2. To find the reference angle, we subtract 120 from 180 and get that the reference angle is 60 degrees, which is the same as π/3.

Answer:

6.5 hours

Step-by-step explanation:

We can write a ratio to solve

360 miles      585 miles

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

4 hours         x hours

Using cross products

360 * x = 4* 585

360 x = 2340

Divide each side by 360

x = 2340/360

x =6.5

Answer:

a. should not be rejected

Step-by-step explanation:

H0 : σ² = 0.003

H1 : σ² > 0.003

We obtain the test statistic :

χ² = [(n - 1) * s²] ÷ σ²

s = sample standard deviation = 0.06

n = sample size = 26

σ² = 0.003

χ² = [(26 - 1) * 0.06²] ÷ 0.003

χ² = (25 * 0.06²) / 0.003

χ² = 30

Using the Pvalue from χ² calculator :

Pvalue = 0.2242

Using α = 0.05

Pvalue > α; we fail to reject the Null

Answer:

2 5/8

Step-by-step explanation:

1 6/8 + 7/8 = 1 13/8 = 2 5/8.

Answer:

Distribute 4 to a and -5.

Step-by-step explanation:

Multiplication goes first.

Answer:4,1x101, 9, 4.1, 2, 0.42, 0.042

Step-by-step explanation:

Answer:

Step-by-step explanation:

ngu dot

9514 1404 393

Answer:

  A The line segments are parallel, and the image is twice the length of the given line segment.

Step-by-step explanation:

Dilation by a factor of 2 means any measure of the image is 2 times the corresponding measure of the original.

Dilation does not change any orientations, so the image will have the same orientation with respect to the origin, axes, or any other line segments. That means the dilated segment is parallel to the original. (If the center of dilation is on the original line segment, the dilated segment will overlay the original segment. That is specifically not the case here.)

Answer:

the volume for it is 5340.71

Answer:

It will take 10 months to pay off the unpaid balance.

Step-by-step explanation:

Given that the annual interest rate on a credit card is 15.30%, if a payment of $ 300.00 is made each month, to determine how many months will it take to pay off an unpaid balance of $ 2,590.67, the following calculation must be performed:

(2,590.67 x 1.1530) / 300 = X

2,987.04 / 300 = X

9.95 = X

Therefore, it will take 10 months to pay off the unpaid balance.

Answer:

Step-by-step explanation:

Answer:

profit is 256 dollars

Step-by-step explanation:

20% of 1,280 is 256 dollars

Answer:

225[tex]\pi[/tex]

or 706.86 rounded

Step-by-step explanation:

area of a circle is  [tex]\pi r^{2}[/tex](r=radius)

[tex]\pi r^{2}[/tex]

[tex]\pi 15^{2}[/tex]

[tex]\pi 225[/tex]

=225[tex]\pi[/tex]

Answer:

You will have saved $69,612 after five years.

Step-by-step explanation:

This can be calculated using the for formula for calculating the future value of a growing annuity as follows:

FV = C * (((1 + r)^n - (1 + g)^n) / (r - g)) ……………………………………… (1)

Where;

FW = future value or amount you will have saved after five years = ?

C = first deposit = $1,000

r = periodic monthly interest rate of = 0.4%, or 0.004

g = growth rate of contribution = 0.1%, or 0.001

n = number of months = 5 years * 12 = 60

Substituting all the values into equation (1), we have:

FV = $1,000 * (((1 + 0.004)^60 - (1 + 0.001)^60) / (0.004 - 0.001))

FV = $1,000 * 69.612001854052

FV = $69,612.00

Therefore, you will have saved $69,612 after five years.

Answer:

16 inches

Step-by-step explanation:

32 divided by 2

Answer:

=76.5 cm

Step-by-step explanation:

Add up the lengths of the outsides

P= 15.6+ 13.6+13.6+17.6+16.1

P =76.5 cm

Answer:

37632

Step-by-step explanation:

An=A(1+12%)²

Answer:

90

Step-by-step explanation:

Answer:

11. C

12. A

Step-by-step explanation:

11. (10 + x + 1)(x + 1) = (x + 5)² (secant-tangent rule)

(11 + x)(x + 1) = (x + 5)(x + 5)

11(x + 1) +x(x + 1) = x(x + 5) +5(x + 5)

11x + 11 + x² + x = x² + 5x + 5x + 25

Add like terms

x² + 12x + 11 = x² + 10x + 25

Collect like terms

x² - x² + 12x - 10x = -11 + 25

2x = 14

2x/2 = 14/2

x = 7

12. (x + 8)(8) = (15 + 9)(9) (secant-secant theorem)

8x + 64 = 216

Subtract 64 from each side

8x = 216 - 64

8x = 152

8x/8 = 152/8

x = 19

Answer:

Step-by-step explanation:

I think it b

Answer:

Hello! answer: 104

Step-by-step explanation:

(base × height)

13 × 8 = 104 therefore the area is 104 hope that helps!

Answer:

104

Step-by-step explanation:

8*13

Answer:

The answer is 4.

Step-by-step explanation:

Multiply 250 with 1.6%. 1.6% is also written as 0.016.

So pretty much you multiply 250 with 0.016 and you get 4.

Answer:

9.744180189 cm

Step-by-step explanation:

1 liter = 1 dm³ (cube with 10cm side lengths) =

= 10×10×10 cm³ = 1000 cm³

the volume of a cylinder is

base area × height

and the base area is a circle

area = pi×r²

r (radius) is half the diameter.

so, we know

volume = 150000 cm³

r = diameter/2 = 70 cm

so, we have

150000 = pi×r² × height = pi×70² × height =

= pi×4900 × height

1500 = pi×49 × height

height = 1500 / (pi×49) = 9.744180189... cm

Answer:

for every x in the domain of f, f -1[f(x)] = x, and

for every x in the domain of f -1, f[f -1(x)] = x

Step-by-step explanation:

f(1) and f(-2) means to replace x in the equation with the number inside the parenthesis and then solve.

f(1) = (1)^2 -3(1) -f = 1 -3 -f = -2-f

f(-2) = (-2)^2 -3(-2) -f = 4 + 6 - f = 10-f

Answer:

B C and F

Step-by-step explanation:

Polygons are closed shaped with straight lines

D and E have curves therefore they cannot be classified as polygons

A is not closed therefore it A is not a polygon

B, C and F are closed and use only straight lines therefore those 3 are polygons

Answer:

1/36

Step-by-step explanation:

you multiply 1/6 × 1/6

because the only way to get the sum of 2 is 1+1 and there is a 1/6th chance on both dice

Answer:

1/36

Step-by-step explanation:

got it right

Answer:

[tex]77[/tex]

Step-by-step explanation:

The troop wants to sell a minimum of 1,000 boxes, so we're looking for the smallest number of boxes they can sell and still meet the goal. Since there are 13 girls in the troop, take the ceiling (round up to the nearest whole number) of 1,000 divided by 13:

[tex]\left\lceil \frac{1,000}{13}\right\rceil=\boxed{77}[/tex]

Answer:

13

Step-by-step explanation:

200-187=13

Answer:

[tex]tan70 = \frac{opp}{adj} \\ \: \: = \frac{15}{x } \\ \\ x = \frac{15 }{tan70 } \\ \\ = \frac{15}{2.747} \\ \\ = 5.46[/tex]

since 5.46 is equal to 5.5...

I think the answer is the first one