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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 diameter of a circle is 34 yards. What is the circle's area? Use 3.14 for ​.
barxatty [35]

Answer:

907.46 mm2

Step-by-step explanation:

Area of circle = (¶d^2)/4

d = 34 mm

Therefore

Area A = (3.14 x 34^2)/4

= 907.46 mm2

8 0
2 years ago
Read 2 more answers
A major car dealership has several stores in a big city. The owner wants to determine if there is a difference in the proportion
Gemiola [76]

Answer:

confidence interval = ( -0.38 , 0.08 )

Step-by-step explanation:

Given data :

n1 = 55 , n2 = 60 ,

Let P1 ( proportion of SUV sales at store A ) = 30 / 55 = 0.55

P2 ( sample proportion of SUV sales at store B ) = 42/60 = 0.70

The Z-value at 99% confidence Interval = 2.58

<u>Determine the 99% confidence interval for difference in proportion</u>

applying the formula below

( P1 - P2 ) ± Z ( \sqrt{p1( 1-p1)/n1  +  p2(1-p2)/n2}

Input values above into equation

confidence interval = ( -0.38 , 0.08 )

5 0
3 years ago
Problem PageQuestion It takes an older pump twice as long to drain a certain pool as it does a newer pump. Working together, it
umka2103 [35]

Answer:

It will take 6 hours for the new pump to drain the pool.

Step-by-step explanation:

As the complete question is not given, the complete question is found online and is attached herewith

Let the rate of new pump is given as x=W/t_1

Let the rate of the old pump is given as y=W/t_2

it is given that the time t_2=2t_1

So by substituting the values of t_2 in the rate equation of y

y=W/2t_1

y=(W/t_1*2)=x/2

Also the total rate of both the pumps is given as W/t3 where t3 is given as 4 hours so the equation becomes

x+y=W/4

x+x/2=W/4

3x/2=W/4

As x=W/t_1

3W/2t_1=W/4

Now as W is same on both sides so

3/2t_1=1/4

12=2t_1

t_1=6 hours

So it will take 6 hours for the new pump to drain the pool.

7 0
4 years ago
Make ‘w’ the subject.
Romashka-Z-Leto [24]

Answer:

w = (cv +dy) / (cb - ad)

Step-by-step explanation:

Multiply through by c

aw + y = c(bw + v) / d                Multiply by d

d(aw + y) = c(bw + v)                  Remove the brackets

daw + dy = cbw + cv                  Subtract dy from both sides.

daw +dy - dy = cbw + cv -dy

daw = cbw + cv - dy                   Subtract cbw from both sides

daw - cbw = cbw - cbw + cv - dy

daw - cbw = cv -  dy                  Isolate W on the left.

w(da - cb) =  cv - dy                   Divide by cb - ad on both sides.

w = (cv - dy) / (ad - bc)                Answer


6 0
3 years ago
8^(3x-1)=2^8 <br><br>Solve for x 
Yuri [45]
8^{(3x-1)}=2^8 \\\\ 2^{3(3x-1)}=2^8 \\\\ 3(3x-1)=8 \\\\ 9x-3=8 \\\\ 9x=8+3 \\\\ 9x=11 \\\\ \boxed{x=\frac{11}{9}}
4 0
3 years ago
Read 2 more answers
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