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3 years ago

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You paint four walls. Each wall is a rectangle with a length of 20 feet and a height of 10 feet. One gallon of paint covers abou

t 330 square feet. How many gallons of paint do you need in order to cover the walls? Explain.

1 answer:

Sphinxa [80]3 years ago

6 0

Answer:

Step-by-step explanation:

20 x 10= 200 ft

1 gallon is 330 ft

paint 4 walls

200 x 4

800 ft/ 330

You would need 2.434 gallons of paint.

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What translation was used on ABCD to produce A'B'C'D'?

Mashutka [201]

First of all, we need to know the coordinate of ABCD and A'B'C'D', so the coordinate of ABCD will be:
A(-3,5)
B(-1,2)
C(-2,-1)
D(-5,-3)
Then, coordinate of new figure will be:
A'(-7,8)
B'(-5,5)
C'(-6,2)
D'(-9,0)
Next,
Let's try all the translations:
(x,y) to (x+4,y+3)
A(-3,5) to A'(-3+4, 5+3)
A(-3,5) to A'(1,8)
Which is not right because A' need to be (-7,8)
(x,y) to (x-4,y+3)
A(-3,5) to A'(-3-4,5+3)
A(-3,5) to A'(-7,8)
B(-1,2) to B'(-1-4,2+3)
B(-1,2) to B'(-5,5)
C(-2,-1) to C'(-2-4,-1+3)
C(-2,-1) to C'(-6,2)
D(-5,-3) to D'(-5-4,-3+3)
D(-5,-3) to D'(-9,0)
Yay, we found the answer. As a result, (x,y) to (x-4,y+3) is your final answer. Hope it help!

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4 years ago

Find the zeros of the function f(x)=x2+2x-3

Lerok [7]

Answer:

x = -1 and x = 3

Step-by-step explanation:

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

f(x) = (x + 1) (x - 3)

Therefore, x = -1 and x = 3

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3 years ago

Four pipes can fill a tank in 70 minutes.how long will it take to fill the tank with 7 pipes are used

mina [271]

Set it up like a ratio: pipes on the top and minutes on the bottom. Therefore, your ratio would be 4/70 = 7/x. Cross-multiply to get 4x=490 and x = 122.5 minutes. Change that to hours if you'd like by dividing by 60!

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3 years ago

If the volume of a sphere is equal to the volume of a cube, what is the ratio of the edge of the cube to the radius of the spher

Pachacha [2.7K]

Answer: The answer is (C) 1.61.

Step-by-step explanation: Given that the volume of a sphere is equal to the volume of a cube. We are to find the ratio of the edge of the cube to the radius of the sphere.

Let, 'r' be the radius of the sphere and 'e' be the edge of the cube. Then, the volume of the sphere is given by

$V_s=\dfrac{4}{3}\pi r^3,$

and the volume of the cube is

$V_c=e^3.$

According to the question, we have

$V_s=V_e\\\\\Rightarrow \dfrac{4}{3}\pi r^3=e^3\\\\\\\Rightarrow \dfrac{4}{3}\times\dfrac{22}{7}r^3=e^3\\\\\\\Rightarrow 88r^3=21e^3\\\\\Rightarrow 4.44r=2.75e\\\\\Rightarrow \dfrac{e}{r}=\dfrac{4.44}{2.75}\\\\\Rightarrow e:r=1.61.$

Thus, the correct option is (C) 1.61.

4 0

3 years ago

Find the sum of the first 9 terms in the following geometric series.

Jlenok [28]

Answer:

The sum of first 9 terms of the given sequence = 68887

Step-by-step explanation:

Given sequence:

7+21+63......

The given sequence is a geometric sequence as the successive numbers bear a common ratio.

The ratio can be found out by dividing a number by the number preceding it.

For the given geometric sequence common ratio $r$ can be given as:

$r=\frac{21}{7}=3$

The sum of a geometric sequence is given by:

$S_n=\frac{a_1(r^n-1)}{r-1}$ when $r>1$

and

$S_n=\frac{a_1(1-r^n)}{1-r}$ when $r$

where, $S_n$ represents sum of $n$ terms, $n$ representing number of terms and $r$ represents common ratio and $a_1$ represents the first term.

Since for the given geometric sequence has a common ratio =3 which is >1, so we will use the first formula for sum to calculate the sum of first 9 terms.

Plugging in the values to find sum of first 9 terms.

$S_9=\frac{7(3^9-1)}{3-1}$

$S_9=\frac{7(19683-1)}{3-1}$

$S_9=\frac{7(19682)}{2}$

$S_9=\frac{137774}{2}$

∴ $S_9=68887$

Thus sum of first 9 terms of the given sequence = 68887 (Answer)

6 0

3 years ago

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