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arlik [135]
3 years ago
9

Find the length of side x in simplest radical form with a rational denominator.

Mathematics
1 answer:
devlian [24]3 years ago
5 0

Answer:

x = 2√2

Step-by-step explanation:

This is a 45-45-90 triangle. This means that if the legs are x, then the hypotenuse is x√2.

In the case, the hypotenuse is already 4. So we have the equation:

x√2 = 4

Multiply both sides by √2

2x = 4√2

Divide both sides by 2

x = 2√2

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12 cents

Step-by-step explanation:

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A circular path 3 feet wide has an inner diameter of 350 feet. How much farther is it around the outer edge of the path than aro
kobusy [5.1K]

Answer:

<u>18.84 feet</u> farther is it around the outer edge of the path than around the inner edge.

Step-by-step explanation:

Given:

A circular path 3 feet wide has an inner diameter of 350 feet.

Use 3.14 for π.

Now, to find how much farther is it around the outer edge of the path than around the inner edge.

Width of the circular path = 3 feet.

Inner diameter of circular path = 350 feet.

So, to get the inner radius we divide the inner diameter of circular path by width of circular path:

350\div 3

=116.67\ feet.

r = 116.67 feet.

Now,

<em>Thus, the outer radius is:</em>

116.67+3

=119.67\ feet.

R = 119.67 feet.

Now, we get the circumference of inner edge and outer edge:

Circumference of inner edge = 2πr.

Circumference\ of\ inner\ edge=2\times 3.14\times 116.67

                                                 =732.69\ feet.

Circumference of outer edge = 2πR.

Circumference\ of\ outer\ edge=2\times 3.14\times 119.67

Circumference\ of\ outer\ edge=751.53\ feet.

Now, to get how much farther is it around the outer edge of the path than around the inner edge:

<em>Circumference of outer edge - circumference of inner edge.</em>

751.53-732.69

=18.84\ feet.

Therefore, 18.84 feet farther is it around the outer edge of the path than around the inner edge.

4 0
3 years ago
If a sample of 40 cars is selected, estimate the number of cars<br> traveling faster than 70 mph.
Umnica [9.8K]

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20ish

Step-by-step explanation:

I would need more info abt the question to answer it more exactly

5 0
2 years ago
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the scientist's collection that has granite that weighs 74 26/36 lbs, marble that weighs 63 16/34 lbs, and quartz that weighs 81
Viktor [21]

Answer:

(D)6 1/2 lbs

Step-by-step explanation:

\text{Weight of the quartz = }81 \dfrac{9}{40} \text{ lbs}\\\dfrac{9}{40}=0.225 \\$Therefore:$ 81 \dfrac{9}{40} \approx 81.25\text{ lbs (to the nearest 1/4 lbs)}\\\text{Weight of the granite = }74 \dfrac{26}{36} \text{ lbs}\\ \dfrac{26}{36}=0.722 \\$Therefore:$74 \dfrac{26}{36} \approx 74.75\text{ lbs (to the nearest 1/4 lbs)}

Difference = 81.25 - 74.75

=6.5 lbs

The correct option is D.

8 0
4 years ago
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