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s2008m [1.1K]
3 years ago
5

Find the value of x. Write your answer in simplest form.

Mathematics
1 answer:
slega [8]3 years ago
7 0

Answer:

x = (9/2)√2

Step-by-step explanation:

The ratio of leg x to the hypotenuse 9 is equal to the cosine of 45 degrees:

cos 45 degrees = x/9

To find the value of x, multiply both sides of this equation by 9, obtaining 9*cos 45 degrees, which comes out to x =9(1/√2).  Rationalizing the denominator, we get x = (9/2)√2

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a circle with a radius of 3cm sits inside a 8cm x7cm rectangle. what is the area of the shaded region?
Leni [432]

Answer:

27.73 square centimeters

Step-by-step explanation:

<em>Assume the shaded region is the area outside the circle but inside the rectangle.</em>

<em />

Now, we need to find the area of rectangle and area of circle. Then we will subtract area of circle from area of rectangle to get our desired answer.

Area of Rectangle = length * width

Area of Rectangle = 8 * 7 = 56

Area of circle is given by the formula:

Area =  \pi r^2

Where r is the radius, which is 3

So,

Area of Circle = \pi r^2 = \pi (3)^2 = 9\pi=28.27

Thus, area of the shaded region is:

Area of Shaded Region = 56 - 28.27 = 27.73 square centimeters

4 0
4 years ago
An elephant needs to drink at least 40 gallons of water each day. A drinking tank contains 4 gallons of water. The elephant has
Nezavi [6.7K]

Answer:

4


Step-by-step explanation:

40-24=16

16/4=4

4 tanks

5 0
3 years ago
Find x please hurry hurry hurry hurry hurry hurry hurry ​
Scilla [17]

Answer:

x = 1.00872652

Step-by-step explanation:

sinx= opposite/hypotenuse

sinx= 11/13

x = 1.00872652

Hope this helps:)

7 0
3 years ago
Read 2 more answers
A car gets 30 miles per gallon of gas and is driven 1000 miles per month. Gas costs $4 per gallon. How much will the car's owner
Maksim231197 [3]
1000/30 * $4 = A 

<span>1000/50 * $4 = B </span>

<span>Subtract B from A.</span>
7 0
3 years ago
Solve, then check albebraically and graphically 7x+14=56
Cerrena [4.2K]

Answer:

7×+14=56

= 7×=56 -14

= × = 6

Step-by-step explanation:

I hope it helps you

7 0
3 years ago
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