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vredina [299]
3 years ago
11

3√2 times 8√8 rational or no

Mathematics
1 answer:
Dmitriy789 [7]3 years ago
4 0

Answer:

Yes.

Step-by-step explanation:

3√2 times 8√8 can be simplified into 24√16.

Since 16 is a perfect square, you can simplify this into: 24*4 = 96.

So the product will be 96.

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What is the equation of a circle that has a center at (-4, 10) and a radius of 8?
mars1129 [50]

Answer:

The equation of the circle is (x + 4)^2 + (y - 10)^2 = 64, third option is correct.

Step-by-step explanation:

Equation of a circle:

The equation of a circle with center (x_0,y_0) and radius r is given by:

(x - x_0)^2 + (y - y_0)^2 = r^2

Center at (-4, 10)

This means that x_0 = -4, y_0 = 10.

Radius of 8:

This means that r = 8. So

(x - x_0)^2 + (y - y_0)^2 = r^2

(x - (-4))^2 + (y - 10)^2 = 8^2

(x + 4)^2 + (y - 10)^2 = 64

The equation of the circle is (x + 4)^2 + (y - 10)^2 = 64, third option is correct.

3 0
3 years ago
Find the value of cos E rounded to the nearest hundredth, if necessary. please help thanks
bonufazy [111]

Answer:

cos(E)=0.8

Step-by-step explanation:

cos(E)=adjacent/hypotenuse

Using a common pythagorean triple, we can find that side GE is 30 (18^2+24^2=30^2)

Then we just get cos(E)=24/30, which is 0.8

4 0
2 years ago
the first week of January there are 48 dogs and 28 cats in the animal shelter. Throughout the month the ratio of dogs to cats re
Lady bird [3.3K]

Answer:49 cats

Step-by-step ex

5 0
3 years ago
A hose is leaking water at a rate of 2 oz/h. How many cups of water will leak out after 2 weeks?
Over [174]

Answer:

84 cups of water will leak out after 2 weeks

Step-by-step explanation:

* Lets how many how to change oz to cup

- One cup contains 8 oz

- We can use the ratio to solve this problem

- A hose is leaking water at a rate of 2 oz/h

- We need to find how many cups of water will leak out after 2 weeks

∵ The rate of the water leak out is 2 oz/hr

∵ 1 cup contains 8 oz

∴ 1 oz = \frac{1}{8} cup

∴ 2 oz = 2 × \frac{1}{8} = \frac{2}{8} = \frac{1}{4} cup

∴ The rate of the water leak out = \frac{1}{4} cup/h

∵ 1 day = 24 hours

∵ 1 week = 7 days

∴ 1 week = 7 × 24 = 168 hours

∵ The number of hours in 1 week is 168

∴ The number of hours in 2 weeks = 168 × 2 = 336 hours

⇒    cups    :    hours

⇒      \frac{1}{4}         :   1

⇒     x         :    336

- By using cross multiplication

∴ x = 336 × \frac{1}{4}

∴ x = 84

- x represents the number of cups of water leak out

<em>84 cups of water will leak out after 2 weeks</em>

5 0
3 years ago
14 cm
Tanya [424]

Answer:

b140

Step-by-step explanation:

14*10=140 that's all

4 0
3 years ago
Read 2 more answers
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