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Mamont248 [21]
3 years ago
10

Ruth’s car traveled 120 miles during the first race.During the second race it traveled 124 miles.If the car averaged 123 miles o

ver the first three races how far did it travel during the third race?
Mathematics
1 answer:
jasenka [17]3 years ago
8 0
During the third race, the car traveled 145 miles.
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An octagonal swimming pool has a base area of 22 square feet The pool is 3 feet deep How many cubic feet of water can the pool h
LenKa [72]

The pool can hold 65.84 ft³ of water

<u>Explanation:</u>

Given:

Shape of pool = octagonal

Base area of the pool = 22 ft²

Depth of the pool = 3 feet

Volume, V = ?

We know:

Area of octagon = 2 ( 1 + √2) a²

22 ft² = 2 ( 1 + √2 ) a²

\frac{11}{1+\sqrt{2} } = a^2

a² = \frac{11}{2.42}

a² = 4.55

a = 2.132 ft

Side length of the octagon is 2.132 ft

We know:

Volume of octagon = 2(1+\sqrt{2} ) X (a)^2 X h

V = 2(1+\sqrt{2})X (2.132)^2 X 3\\ \\V = 2 ( 2.414) X 4.5454 X 3\\\\V = 65.84 ft^3

Therefore, the pool can hold 65.84 ft³ of water

8 0
3 years ago
A company makes candles in the shape of a right cone. The lateral surface of each candle is covered with
julia-pushkina [17]

Answer:

The amount of paper needed = 363.3 in²

Total amount of paper and plastic needed = 564.3 in

Step-by-step explanation:

As the diagram isn't given.

Consider a right cone shown in the ATTACHMENT.

where

r = 8 in

h = 12 in

First find the value of hypotenuse s by using Pythagoras theorem

<h3>Find Lateral Area:</h3>

The amount of paper needed to cover the candle is lateral area, which is given by:

L=\pi\cdot{r}\cdot{s}\\L =\pi\cdot8\cdot14.422\\L=363.3in^2\\

<h3>Find Surface Area:</h3>

Total amount of paper and plastic is the surface area:

S=L+\pi{r}^2\\S=363.3+\pi(8)^2\\S=564.26in^2

S=564.3in^2

7 0
3 years ago
There is 12/15 of a pizza left. How many 3/10 pieces can be made from the leftover pizza? Show work please!
Katyanochek1 [597]

How many 1/3 pieces can be made from 2 pizzas, we know it is 6 and it is arrived by dividing 2 by 1/3 or multiplying by its reciprocal 3/1.

Hence to find how many 3/10 pieces can be made from 12/15 pizza, we have to divide 12/15 by 3/10 or multiplying by its reciprocal 10/3, i.e.

12/15 times 10/3= 8/3 or 2  2/3 

What does that mean? This means that while 2 three-tenths pieces can be made, 2/3of 3/10 i.e. <span>2/3×3/10=2/10=1/5</span> or one-fifth of pizza will be left out.

So the answer is 2 three-tenths pieces can be made, and one-fifth pizza will be left out.

5 0
3 years ago
Approximately how many degrees are in the measure of an interior angle of a regular seven sided polygon
kramer
The interior angle of a regular polygon is equal to each other since all sides of the polygon are congruent. The formula that expresses the relation of the sides of the polygon and the measurement of the interior angle is (n2)*180/n where n is 7. Each interior angle then measures 128.6 degrees.
3 0
3 years ago
2. Which of the following is a linear inequality in two variables?
tester [92]
A !! 7x-4y=3 is linear !!


Please mark BRAINLEST

7 0
3 years ago
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