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EleoNora [17]
3 years ago
15

The figure consists of a quarter circle and a parallelogram. What is the area of the composite figure? Use 3.14 for pi. Round to

the nearest whole number. please answer as soon as poossible
70 in
84 in
154 in
224 in

Mathematics
2 answers:
Andru [333]3 years ago
7 0
The area of a full circle is given by
  A = π*r^2
so the area of a 1/4 circle will be 1/4 of that:
  A = (π/4)*r^2

The area of a parallelogram is the product of base length and height:
  A = bh

Your composite figure will have an area that is the sum of the areas of the parts.
  A = (quarter circle area) + (parallelogram area)
  A ≈ (3.14/4)*(14 in)^2 +(14 in)*(5 in)
  A ≈ 223.86 in^2 ≈ 224 in^2

The most appropriate selection is the last one,
  224 in^2
Andreyy893 years ago
6 0

Answer:

the answer is d

Step-by-step explanation:

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The ratio of the sides of a triangle is 2:4:9. If the perimeter is 165 inches, what is the length of the longest side?
drek231 [11]

Answer:

99inches

Step-by-step explanation:

The ratio of the sides of a triangle =2:4:9.

perimeter = 165 inches,

Total ratio= 2+4+9=15

perimeter = 165

Divide the perimeter by total ratio

165/15=11

Each of the sides

= (2×11) =22

(4×11) =44

(9×11)=99

the length of the longest side= 99inches

7 0
3 years ago
4 yards to 30 inches write each ratio in simplest form
MissTica

Answer:

24:5

Step-by-step explanation:

4 yards is 3 feet, so 4*3=12. There are 12 inches in a foot, so 12*12=144. 144:30= 72:15 = 24:5

6 0
3 years ago
What is the probability that a number selected at random from the set {2, 3, 7, 12, 15, 22, 72, 108} will be divisible by both 2
Dimas [21]
Find how many numbers are divisible by two and three, then place that number above the total number of items in the set as a fraction. Like this:
\frac{Total-numbers -divisible-by-2-and-3}{Total-numbers-in-set}

4 0
3 years ago
Which equation represents the statement below?
Sergio [31]

The answer is option A

Step-by-step explanation:

Thirteen less than a number is written as

n - 13

Equate it to 42

We have

n - 13 = 42

Hope this helps you

3 0
3 years ago
Graph the systems of equations. {2x+y=8 −x+2y=6 Use the Line tool to graph the lines.
Nitella [24]

Answer:

See attachment

Step-by-step explanation:

We want to graph the system

2x+y=8

-x+2y=6

Let us rewrite the lines in slope intercept form:

y=-2x+8

y=\frac{1}{2}x+3

The first line has a slope of -2 and a y-intercept of 8

The second line has a slope of 1/2 and a y-intercept of 3

We can no graph the lines as shown in the attachment.

3 0
3 years ago
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