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xeze [42]
3 years ago
7

I would appreciate I someone could help me with these questions

Mathematics
1 answer:
svet-max [94.6K]3 years ago
8 0
38: it's a right triangle
39:
area:
a = \pi {r}^{2}
a = 3.14 \times {10}^{2} = 314

circumference:
c = \pi \times diameter
c = 3.14 \times 20 = 62.8
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If y = 2x and 3x - 3y = 2, then x =
faltersainse [42]

Answer:

The value of x is equal to -2/3.

Step-by-step explanation:

In the problem it says that y equals 2x, and that 3x - 3y = 2.

The first step is to substitute 2x into y.

3x - 3(2x) = 2.

The next step is to use distributive property.

-3(2x) = -6x.

Now we need to add like terms.

3x - 6x = -3x.

Which gives us the equation -3x = 2.

The final step is to divide on both sides to get the value of x.

-3x/-3 = 2/-3.

x = -2/3.

So as you can see, x is equal to -2/3.

We can also check to make sure by redoing the problem, but substituting the value of x.

3(-2/3) - 3(2 * -2/3) = 2.

-2 - 3 * -4/3 = 2.

-2 + 4 = 2.

2 = 2.

The value of x is indeed -2/3.

5 0
2 years ago
You cast a fishing lure from 4 feet above the water. Its travel is given by the function h = -16t^2 + 24t + 4, where t = time in
const2013 [10]

Answer:

Fishing lure will be at a height of 12 feet after 0.19 and 1.31 seconds

Step-by-step explanation:

Travel of a fishing lure has been given by the expression,

h = -16t + 24t + 4

where h = height of the fishing lure

t = time or duration of travel

Height traveled by the fishing lure = 12 - 4 = 8 feet

For h = 8 feet,

8 = -16t² + 24t + 4

-16t² + 24t + 4 - 8 = 0

16t² - 24t + 4 = 0

4t² - 6t + 1 = 0

t = \frac{6\pm\sqrt{(-6)^{2}-4(4)(1)}}{2\times 4}

 = \frac{6\pm\sqrt{36-16}}{8}

 = \frac{6\pm\sqrt{20}}{8}

 = \frac{6\pm2\sqrt{5}}{8}

 = 1.31, 0.19 seconds

7 0
3 years ago
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