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SashulF [63]
1 year ago
11

Find the volume of the figure. Use 3.14 for . 5 m 12 m

Mathematics
1 answer:
LenaWriter [7]1 year ago
3 0

Answer:

1203.6 ---- the six is recurring ( .666666...)

Step-by-step explanation:

volume of hemisphere= \frac{2}{3} x 3.14 x r^3

volume of cylinder= 3.14 x r^3 x h

1. Volume of hemisphere= 2/3 x 3.14 x 5^3 = 261.6 recurring

2. volume of cylinder = 3.14 x 5^2 x12 = 942

3. add the two together -----------> 1203.6

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a solar lease customer built up an excess of 6,500 kilowatts hour (kwh) during the summer using his solar panels. when he turned
Jlenok [28]

Question:

A solar lease customer built up an excess of 6,500 kilowatts hour (kwh) during the summer using his solar panels. when he turned his electric heat on, the excess be used up at 50 kilowatts hours per day .

(a) If E represents the excess left and d represent the number of days. Write an equation for E in terms of d

(b) How much of excess will be left after one month (1 month = 30 days)

Answer:

a. E = 6500 - 50d

b. E = 5000

Step-by-step explanation:

Given

Excess = 6500kwh

Rate = 50kwh/day

Solving (a): E in terms of d

The Excess left (E) in d days is calculated using:

E = Excess - Rate * days

The expression uses minus because there's a reduction in the excess kwh on a daily basis.

Substitute values for Excess, Rate and days

E = 6500 - 50 * d

E = 6500 - 50d

Solving (b); The value of E when d = 30.

Substitute 30 for d in E = 6500 - 50d

E = 6500 - 50 * 30

E = 6500 - 1500

E = 5000

<em>Hence, there are 5000kwh left after 30 days</em>

4 0
3 years ago
What is the answer to -6(a+8)
Dafna11 [192]

Answer: -6a-48

Step-by-step explanation:

First -6 goes into a and that turns into -6a and then -6 goes into 8 and that turns into -48 so ur answer would  be: -6a-48

ur welcome

8 0
3 years ago
A book store sells a textbook for $150. If the textbook is on sale with 12% off, and there is a sales tax of 8.25% added to the
Yuri [45]

The textbook is $150 originally, so to find the price of the textbook on sale, multiply the original price by 12% (0.12). Then subtract 12% of 150 from 150.

  • 150 * 0.12 = 18

Subtract 18 from 150.

  • 150 - 18 = 132

Multiply the price of the textbook on sale by the sales tax of 8.25% (0.0825). Then add the tax price onto the sale price of the textbook.

  • 132 * 0.0825 = 10.89

Add 10.89 to 132.

  • 132 + 10.89 = 142.89

The final price of the textbook is $142.89.

4 0
3 years ago
On a coordinate plane, triangle J K L has points (negative 2, 1), (0, 3), and (2, negative 1). Reflect the figure over the line
svetlana [45]

Answer:

J'(2, 1)

K'(0, 3)

Step-by-step explanation:

On a coordinate plane, coordinates of the points J, K and L are (-2, 1), (0, 3) and (2, -1) respectively.

If we reflect these points over the line x = 0 or y-axis, rule to be followed is

(x, y) → (-x, y)

Only sign of x coordinates get changed while y coordinates remain the same.

Following this rule coordinates of the images of J' and K' will be

J(-2, 1) → J'(2, 1)

and K(0, 3) → K'(0, 3)

6 0
2 years ago
Read 2 more answers
Solve:<br> 3c - 15 = 17 - c<br> plsss helpp !! i put 20 pts on this !!
azamat

Answer:

c=8

Step-by-step explanation:

Simplifying

3c + -15 = 17 + -1c

Reorder the terms:

-15 + 3c = 17 + -1c

Solving

-15 + 3c = 17 + -1c

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Add 'c' to each side of the equation.

-15 + 3c + c = 17 + -1c + c

Combine like terms: 3c + c = 4c

-15 + 4c = 17 + -1c + c

Combine like terms: -1c + c = 0

-15 + 4c = 17 + 0

-15 + 4c = 17

Add '15' to each side of the equation.

-15 + 15 + 4c = 17 + 15

Combine like terms: -15 + 15 = 0

0 + 4c = 17 + 15

4c = 17 + 15

Combine like terms: 17 + 15 = 32

4c = 32

Divide each side by '4'.

c = 8

Simplifying

c = 8

5 0
3 years ago
Read 2 more answers
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