For similar figures, the ratio of areas is the square of the ratio of linear dimensions. The smaller billboard requires
.. (4/5)^2 * 250 ft^2 = 160 ft^
of material.

3 0

3 years ago

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Question 4(Multiple Choice Worth 1 points) (06.07 LC) Which expression is equal to 3x? Ox+ 3 Ox+ x + x O x + x2 0 2x + 1 ting

Firdavs [7]

Answer:

the answer is :.......

x+x+x

6 0

3 years ago

An empty cylindrical vase with a radius of 8 cm and a height of 9 cm is filled with 6 cm^3 of sand every 15 seconds. At the same

Andru [333]

General Idea:

The volume of cylinder is given by $\pi r^{2} h$ , where r is the radius and h is the height of the cylinder.

Applying the concept:

Step 1: We need to find the volume of full cylinder with the given dimensions using the formula.

Volume of full cylinder $=\pi r^{2} h=\pi* 8^{2} *9=576\pi cm^{3}$

Volume of half cylinder $=\frac{576\pi }{2} =288\pi cm^{3}$

Step 2: Let x be the number of minutes of filling the sand.

$6 cm^{3}$ of sand filled every 15 seconds, there are four 15 seconds in a minute.

So volume of sand filled in 1 minute $= 6*4 cm^{3} = 24 cm^{3}$ .

$8 cm^{3}$ of sand taken out of cylindrical vase every minute.

Net volume of sand filled in 1 minute = Volume of sand filled in the vase in one minute - Volume of sand taken out in 1 minute

Net volume of sand filled in 1 minute $=24 cm^{3} - 8cm^{3}=16cm^{3}$

Volume of sand filled in x minutes $= 16x$ .

We need to set up an equation to find the number of minutes need to fill half the volume in cylindrical vase.

$16x = 288\pi \\ \\ x=\frac{288\pi}{16} \\ \\ x=18\pi \\ \\ x=57 minutes$

Conclusion:

The number of minutes required for the base be half filled with sand is 57

6 0

4 years ago

1) y=7x- 12<br>-3x+4y=2

ioda

Answer:

x = 2

y = 2

Step-by-step explanation:

Given that:

y=7x- 12 -------- eq1

-3x+4y=2 ------ eq2

eq1 can be written as:

7x - y = 12

Multiplying this equation by 4 we get:

28x - 4y = 48 --------- eq3

Adding eq2 and eq3 we get:

28x - 3x = 48+ 2

25x = 50

x = 2

Now put this equation in eq1

y = 7(2) - 12

y = 14 - 12

y = 2

i hope it will help you!

8 0

3 years ago