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liraira [26]
3 years ago
13

The radius of the semicircle in the following composite figure is 8.5 millimeters. What is the area of the semicircle rounded to

the nearest hundredth

Mathematics
1 answer:
padilas [110]3 years ago
3 0
You will find the area of the semicircle by finding the area of the circle with a radius of 8.5 mm and the dividing it by 2.

A = pi x r^2
3.14 x 8.5^2
A = 226.865 square mm
226.865/2
113.43

The approximate area of the semi circle is 113.43 mm².
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Which of the following is the missing reason? Statements Reasons two thirds times x plus 7 equals negative 5 Given 2x 21 = â’15
pentagon [3]

The correct option is B. Distributive property

Given,

\frac{2}{3} x+7=-5\\

On solving the above equation,

multiplying both sides by 3 we, get

2x+21=-15

now subtracting 21 from both the sides,

2x=-36\\

dividing both the sides by 2 we get,

x=-18

Since in the above steps we follow all the giving property except the distributive property.

Hence the correct option is B. Distributive property.

For more details follow the link:

brainly.com/question/13130806

6 0
2 years ago
Lim. √2x -√3x-a/√x-√a<br>x approaches a​
Ludmilka [50]

Answer: \sqrt{2}a-\sqrt{3}a-2\sqrt{a}

Step-by-step explanation:

\lim _{x\to \:a}\left(\sqrt{2}x-\sqrt{3}x-\frac{a}{\sqrt{x}}-\sqrt{a}\right)

=\sqrt{2}a-\sqrt{3}a-\frac{a}{\sqrt{a}}-\sqrt{a}

=\sqrt{2}a-\sqrt{3}a-2\sqrt{a}

3 0
3 years ago
If two lines are perpendicular, which statement must be true? A.The slopes of the two lines are equal. B.The slopes of the two l
dangina [55]

Answer:

Option D is correct that is The Slopes of two lines are negative reciprocals.

Step-by-step explanation:

Perpendicular lines are the lines which intersect each other at right angle or make 90° angle with each other.

we that the Slope of perpendicular lines are equal to -1

Therefore, Option D is correct that is The Slopes of two lines are negative reciprocals.

5 0
3 years ago
I don’t get this and I need to pass it please help!!!
Novosadov [1.4K]

Answer:

Choice A x= 16, y= 9√2

Step-by-step explanation:

x= 9+7 =16

y= √9²*2= 9√2

5 0
3 years ago
The shorter leg of a right triangle is 6m shorter than the longer leg. the hypotenuse is 6m longer than the longer leg. find the
Gennadij [26K]
Short leg = x-6m
Longer leg =x
Hypotenuse = x+6m

x² + (x-6)² =(x+6)²
x² + x²-12x+36 = x²+12x+36
2x²-12x+36= x² +12x+36
2x²-12x+36-36= x² +12x+36-36
2x² - 12x-12x = x²+12x-12x
2x² -24x-x² = x²-x²
x² -24x = 0
x(x-24)=0
x = 24

Short leg = 24-6m = 18
Longer leg =24
Hypotenuse = 24+6m=30

Check
a² + b² = c²
18² +24² =30²
324 +576 = 900
900=900
7 0
3 years ago
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