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Vlada [557]
3 years ago
8

What is the approximate area of the figure? Help pls.....

Mathematics
1 answer:
Vaselesa [24]3 years ago
7 0
Okay, first we need to calculate the area of the rectangle. 

Area of Rectangle- 16 x 6 = 96 

Next, we need to calculate the area of the semicircles. 

Formula: Radius x Radius x pi (3.14) = Area of circle

 Since we know that the diameter is 6 we can figure out the radius. 
The radius is half of the diameter. So our radius is 3. 

3 x 3 x 3.14 = 28.26

Since it's a semi circle we now need to divide by 2. 

28.26 divided by 2 = 14.13 

Then, we add.  

Area of rectangle 
+
Area of 2 semi circles 

96 + 14.13 + 14.13 = Total Area of The Figure 

So our answer is 124.26

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Find the missing side x​
bezimeni [28]

Answer:

\sqrt{968}

Step-by-step explanation:

Since this is a right triangle, we are able to use pythagorean theorem, a^2+b^2=c^2. In this case x would be the "c", so 22^2+22^2=x^2. Isolate the variable and solve for x. 484+484=x^2

968=x^2

\sqrt{968\\}=x

6 0
3 years ago
Find the quotient and explain the process and reasoning. (PLEASE EXPLAIN IT MATHEMATICALLY, like in numbers!)
patriot [66]
9 because 27 divided by 3 is 9 and because both numbers don’t have a whole number it equals a whole number(sorry if I didn’t explain good enough)
8 0
1 year ago
Which values are in the solution set of the compound inequality? Check all that apply. 4(x + 3) ≤ 0 or x + 1 > 3 –6 –3 0 3 8
Colt1911 [192]

we have

4(x + 3) \leq 0 -------> inequality 1

or

x + 1 > 3 -------> inequality 2

we know that

In this system of inequalities, for a value to be the solution of the system, it is enough that it satisfies at least one of the two inequalities.

let's check each of the values

<u>case 1)</u> x=-6

<u>Substitute the value of x=-6 in the inequality 1</u>

4(-6 + 3) \leq 0

4(-3) \leq 0

-12 \leq 0 -------> is ok

The value of x=-6 is a solution of the compound inequality-----> It is not necessary to check the second inequality, because the first one satisfies

<u>case 2)</u> x=-3

<u>Substitute the value of x=-3 in the inequality 1</u>

4(-3 + 3) \leq 0

4(0) \leq 0

0 \leq 0 -------> is ok

The value of x=-3 is a solution of the compound inequality-----> It is not necessary to check the second inequality, because the first one satisfies

<u>case 3)</u> x=0

<u>Substitute the value of x=0 in the inequality 1</u>

4(0 + 3) \leq 0

4(3) \leq 0

12 \leq 0 -------> is not ok

<u>Substitute the value of x=0 in the inequality 2</u>

0 + 1 > 3

1 > 3 --------> is not ok

The value of x=0 is not a solution of the compound inequality

case 4) x=3

<u>Substitute the value of x=3 in the inequality 1</u>

4(3 + 3) \leq 0

4(6) \leq 0

24 \leq 0 -------> is not ok

<u>Substitute the value of x=3 in the inequality 2</u>

3 + 1 > 3

4 > 3 --------> is ok

The value of x=3 is a solution of the compound inequality

case 5) x=8

<u>Substitute the value of x=8 in the inequality 1</u>

4(8 + 3) \leq 0

4(11) \leq 0

44 \leq 0 -------> is not ok

<u>Substitute the value of x=8 in the inequality 2</u>

8 + 1 > 3

9 > 3 --------> is ok

The value of x=8 is a solution of the compound inequality

<u>case 6)</u> x=10

<u>Substitute the value of x=10 in the inequality 1</u>

4(10 + 3) \leq 0

4(13) \leq 0

52 \leq 0 -------> is not ok

<u>Substitute the value of x=10 in the inequality 2</u>

10+ 1 > 3

11 > 3 --------> is ok

The value of x=10 is a solution of the compound inequality

therefore

<u>the answer is</u>

[-6,-3,3,8,10]

7 0
3 years ago
Which of the following is equal to (3x/5-7)+7?
Ronch [10]
(3x/5-7)+7= 3x/5-7+7= <span>3x/5   +(-7+7)= </span>3x/5+0=<span>3x/5
the answer is </span><span>b. 3x/5</span>
8 0
3 years ago
Read 2 more answers
Please help me with this question
defon

Answer:

Cosθ= -1/25 ;

cotθ= -1/24 .

Step-by-step explanation:

7 0
3 years ago
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