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3 years ago

Use the Pythagorean Theorem to find the missing length and then round the

Mathematics

1 answer:

dedylja [7]3 years ago

3 0

C=10
a square (36) + b square (64) = c square (100)
The square root of 100 is 10

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3.1 = x / 2 equals what?

neonofarm [45]

Answer: 6.2

Step-by-step explanation: 3.1 = x/2

x/2=3.1

x/2(2)=3.1(2)

x=6.2

3 0

3 years ago

PLEASE HELP!!!!!!!!!!!!!

mrs_skeptik [129]

If you go from point (-1, -3) to point (4, 4), you can find the slope of the line using the slope formula. $m= \frac{4-(-3)}{4-(-1)}= \frac{7}{5}$ . So our slope is 7/5. The line goes through the y axis at -3/2, so putting that together we get an equation for the line that is $y= \frac{7}{5}x- \frac{3}{2}$ , choice D from above.

5 0

3 years ago

Evaluate the following double integral where a = 2y

Keith_Richards [23]

Change the order of integration.

$\displaystyle \int_0^1 \int_{2y}^2 \cos(x^2) \, dx \, dy = \int_0^2 \int_0^{x/2} \cos(x^2) \, dy \, dx \\\\ ~~~~~~~~ = \int_0^2 \cos(x^2) y \bigg|_{y=0}^{y=x/2} \, dx \\\\ ~~~~~~~~ = \frac12 \int_0^2 x \cos(x^2) \, dx$

Substitute $u=x^2$ and $du=2x\,dx$ .

$\displaystyle \frac12 \int_0^2 x \cos(x^2) \, dx = \frac14 \int_0^4 \cos(u) \, du = \frac14 \sin(u) \bigg|_{u=0}^{u=4} = \boxed{\frac{\sin(4)}4}$

4 0

1 year ago

One positive number exceeds three times another positive number by 5. The product of the two numbers is 68. Find the number

kati45 [8]

Answer:12

Step-by-step explanation:

Let the numbers be a and b

a-3b=5 ........equation (1)

There product is :

ab=68 ..........equation (2)

From equation (1)

a-3b=5

Make a the subject of the formula

a=5+3b. ........equation (3)

Substitute equation (3) into equation (2)

(5+3b)b=68

3(b^2)+3b-68=0

The product is -204b^2(17 and -12)

(b+17)(b-12)=0

b=-17 or b=12

So the number is 12

6 0

3 years ago

Rewrite the fraction in the sentence below as a percentage.

Furkat [3]

Answer:

55%

Step-by-step explanation:

Total number of targets = 20

Number of targets hit = 11

100 / 20 = 5

5 * 11 = 55

This means that 55% of the targets were hit.

6 0

3 years ago