Please help me with this question.
Answers
Area of Rectangle:
A= 21in x 16in = 336in^2
Area of Circle:
A = pi * r^2
A = 3.14 * (8in)^2
A = 3.14 * 64in^2
A = 201in^2
Subtracting the non shaded region from the area of the rectangle:
336in^2 - 201in^2 = 135in^2
Therefore, the answer is 1. 135in^2
To find the area of a rectangle you would use length x width
So it already gives you the length which is 21, now you can find the width by looking inside at the radius of the circle (8). That would be half of the width. Which means we would multiply 8 by 2.
8 x 2 = 16 so the width is 16. Now the only thing left to do is to multiply the width times the height.
16 x 21 = 336
The area of the rectangle is 336.
Next we need to find the area of the circle.
To find the area of a circle you would do Pi x r^2
The radius is 8. 8^2 = 64 then multiply that by Pi (3.14)
64 x 3.14 = 200.96
We have the area of the rectangle and the circle. The only thing left is to subtract the area of the circle from the area of the rectangle.
336 - 200.96 = 135.04
The answer would be 1. 135 in^2
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3/4+1/2=3/4+2/4=5/4= 1 1/4
Answers
Answers
Answer:
12th term = 34.5
Step-by-step explanation:
l = a + (n-1)*d
d = 1.5
70th term = 121.5
a + 69 * 1.5 = 121.5
a + 103.5 = 121.5
a = 121.5 - 103.5
a = 18
12 th term = 18 + 11 * 1.5 = 18 + 16.5 = 34.5
Answer:
= 34.5
Step-by-step explanation:
The n th term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given = 121.5, then
a₁ + (69 × 1.5) = 121.5
a₁ + 103.5 = 121.5 ( subtract 103.5 from both sides )
a₁ = 18
Hence
= 18 + (11 × 1.5) = 18 + 16.5 = 34.5
cm
3 cm by
2
cm
2 cm and fills the glass
4
cm
4 cm high with water. Jamie drops his gold ring in the glass and measures the new height of the water to be
4
.
2
5
cm
4.25 cm.
What is the volume of Jamie's ring in cubic centimeters?
Answers
Answer:
1.50 cm^3.
Step-by-step explanation:
The ring will displace its own volume of water.
The increase in height of the water = 4.25 - 4 = 0.25 cm.
Therefore the increase in the volume = area of the base of the glass * 0.25
= 3 * 2 * 0.25
= 6 * 0.25
= 1.50 cm^3.
This is also the volume of the ring.
Answer:
1.5
Step-by-step explanation:
A)-96, -288, -864
B) -64, -128, -256
C) -64, -288, -256
D) -36, -40, -44
Answers
B.-64,-128,-256
B. 2⁄3 > 3⁄4
C. 2⁄3 < 3⁄4
D. 2⁄3 = 3⁄4
Answers
We are given fractions 2⁄3 and 3⁄4.
We need to compare them.
In order to compare them, we need to make the denominators same by finding LCD of common denominator.
Common denominator of 3 and 4 is 12.
So, we need to make both denominator as 12.
Multiplying 2/3 by 4 in top and bottom, we get
2*4/3*4 = 8/12
Multiplying 3/4 by 3 in top and bottom, we get
3*3/4*3 = 9/12.
Now, we can compare the numerators.
8/12 is less than 9/12.
Therefore, 8/12 < 9/12.
Or 2/3 < 3/4.