The base of a solid S is the region bounded by the parabola x^2=8y
Cross-sections perpendicular to the yyy-axis are equilateral triangles.
Determine the exact volume of solid SSS.

Answer:

15

Step-by-step explanation:

To answer this, simply input your values into the equation:

Since b is given as 1.5, and c is given as 5, you put it into the calculation 2bc

so, you would do 2x1.5x5

which is equal to 15

Answer: 15

Step-by-step explanation: Multiply it. You have 2bc, b=1.5, c=5 plug those values into 2bc. You should get 2(1.5)(5) and that'll be 15.

Answer:

Step-by-step explanation:

a) Area is multiplied by the square of the scale factor, so it is (3.1)^2 = 9.61 times larger.

b) Same logic, (1/6)^2 = 1/36

c) correct

d) 3

Answer:

see below for the whole unit activity

Step-by-step explanation:

Answer:

70° and 20°

let the other 2 angles be 7x and 2x

90+7x+2x=180

9x=180-90

x=90/9

x=10

7x=7x10

70

2x=2×10

2p

Answer:

See below.

Step-by-step explanation:

Vertical angles can be found by adding the two degrees, and if they equal 180, they are vertical.

94 and 86

119 and 61

-hope it helps

Answer:

angle C measures 31 degrees.

Step-by-step explanation:

because when they are complementary, the two angles add up to 90 degrees and you know the measure of part of that 90 already, so its as simple as subtracting 90-59=31

Answer:

31

Step-by-step explanation:

complementary angles equal 90

90-59=31

Answer: y, value of y, 9

Step-by-step explanation:

Answer:

1. Y

2. Value of Y

3. 9

Step-by-step explanation:

Answer:

AC=162/B

Step-by-step explanation:

AB= 18

A=18/B

BC=9

C=9/B

AC=18/B * 9/B

AC=162/B

Answer:

Sorting

Step-by-step explanation:

Answer: 192 cubes.

Step-by-step explanation:  Each cube with side lengths of 1/4 have a volume of (1/4)3 which means each cube’s volume is 0.015625 cubic units. To find how many cubes are needed to fill the prism, divide 3 cubic units by 0.015625 cubic units. Your answer will be 192 cubes.

The final statement is: The rate of interest is 7% and simple interest is $12.60

Simple interest is an interest charge that borrowers pay lenders for a loan. It is calculated using the principal only and does not include compounding interest. Simple interest relates not just to certain loans. It's also the type of interest that banks pay customers on their savings accounts.

Given here: Principal =$180 And amount after one year=$192.60

Therefore simple interest= 192.60-180

                                          =12.60

∴12.60=180×r×1/100

 r=7%

Hence, The rate of interest is 7% and simple interest is $12.60

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Answer:

correct answer is 9 inches

Step-by-step explanation:

Observe the division shown

To divide 2 by 9 Carl added a .0 on right of dividend and 0. on the right of quiotent .

Remainder recieved is 2 again

So these steps gonna repeating

The answer be like 0.222222..

Answer: 300 ft^2

Step-by-step explanation:

First, find the area of the rectangle on the bottom:

Area of a rectangle = length * width = 18 * 12 = 216

Now, find the area of the trapezoid:

Area of a trapezoid = (base 1 + base 2) / 2 * height → (10 + 18) / 2 * 6 = 84

Add these together: 216 + 84 = 300 ft^2 :)

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$10000\\ r=rate\to 8.5\%\to \frac{8.5}{100}\dotfill &0.085\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &15 \end{cases}[/tex]

[tex]A=10000\left(1+\frac{0.085}{12}\right)^{12\cdot 15}\implies A=10000\left( \frac{2417}{2400} \right)^{180}\implies A\approx 35626.53[/tex]

Answer:

I believe your answer would be Soundis

Answer:

A material through which sound waves can travel is called a medium.

The solution of the system of the equations shown is where the equations intersect

   --> (-7, 1)

Hope that helps!

Answer:

(-7, 1),

Step-by-step explanation:

The solution is the coordinates of the point of intersection.

At this point x = -7 and y = 1.

Answer:

x is 75° ........................

Answer:

First answer, 0.54 is 54% and for the second one, 0.35 is 35%

Step-by-step explanation:

1. You first mulitply the numerator by the denominator by 100 which would be 0.54 x 100 = 54

2. Once you get the answer you just add a percentage to the end of 54 which would equal 54% and thats your answer for 0.54 and to find 0.35 it is the same thing to find the percentage.

Answer:

12 inches

Step-by-step explanation:

1 foot=12inches

48/12=4

Each of those pieces are 1 foot meaning each string is 12 inches.

Step-by-step explanation:

the total surface area is the sum of the individual areas on the surface.

we have

2 triangles (top and bottom)

1 front rectangle

2 rectangles in the back

the area of a triangle is

baseline × height / 2

1.7 × 0.5 / 2 = 0.425 in²

both triangles together : 2×0.425 = 0.85 in²

the area of a rectangle is

length × width

so, the front is

1.7 × 1.5 = 2.55 in²

one back rectangle is

1 × 1.5 = 1.5 in²

both back areas are 2×1.5 = 3 in²

so, the total surface area is

0.85 + 2.55 + 3 = 6.4 in²

2.4 hours

Ten percent is ten per every hundred, that is ten percent is Thus ten percent of 24 hours is 0.10 \times 24 = 2.4 hours.

Answer:

2.4 hours

Step-by-step explanation:

24÷10=2.4

Answer:

Step-by-step explanation:

if the measure of <A is 110°

Then the measure of <B is also 110°

Answer:

He has ridden 90 miles

Step-by-step explanation:

7.2 X 12.5 = 90

Answer:

P=39

Step-by-step explanation:

8X6=48 there's already 9 so

48-9=39

so p=39

Answer:

28.25

Step-by-step explanation:

simple addition
6.35 + 10.2 + 5.85 + 5.85 = 28.25

The equation which represent the problem is given by an = 4 + 1.00(n - 1)

Number if miles Lily run per day first week = 4 miles

Additional miles per day each week = 1 mile

let

n = total miles

The equation:

an = 4 + 1.00(n - 1)

an = 4 + 1(n - 1)

= 4 + 1(2 - 1)

= 4 + 1(1)

= 4 + 1

= 5 miles

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Answer:

the first one seems like a 90 degree rotation counter clockwise and a reflection across the y=1 line (or is it x=1 line id-k) and the second is an 180 degree rotation.

The measure of the missing angle(a) in the isosceles triangle(two sides and angle equal) is 70 degrees.

An Isosceles triangle is a triangle that has two of it sides equal to each other and two of it angles equal to each other.

The base angle of an isosceles triangle are equal. Therefore, let's find angle a in the triangle.

55 + 55 + a = 180

Recall the sum of angle in a triangle is 180 degrees.

110 + a = 180

subtract 110 from both sides

110 - 110 + a = 180 - 110

a = 70 degrees

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