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nordsb [41]
3 years ago
13

Please help question is in the picture

Mathematics
1 answer:
lara31 [8.8K]3 years ago
5 0
A=(3.14)(12.5)^2
A=(3.14)(156.25)
A=490.625 ft squared
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$0.\overline{5} + 0.19\overline{4}$.
Scilla [17]

Answer:

0.\overline{5} + 0.19\overline{4}=0.75

Step-by-step explanation:

Given expression:

0.\overline{5} + 0.19\overline{4}

To evaluate the expression.

Solution.

The values are

0.\overline{5}=0.555555......  

Let X=0.555555..... -----------1                  

Multiplying 10 both sides.

10X=5.555555....----------2

Subtracting 1 from 2.

 10X=5.555555....

- X=0.555555.....

-------------------------------------------

9X=5.0

Dividing both sides by 9.

\frac{9X}{9}=\frac{5}{9}

X=\frac{5}{9}

0.19\overline{4}=0.194444....

Let Y=0.1944444..

Multiplying both sides by 100

100Y=19.44444..------------3

Multiplying 1000 both sides.

1000Y=194.4444....----------4

Subtracting 3 from 4.

 1000Y=194.4444....

- 100Y=19.44444.....

-------------------------------------------

900Y=175.0

Dividing both sides by 900.

\frac{900Y}{900}=\frac{175}{900}

Y=\frac{175}{900}

So, we can evaluate the given expression as:

⇒ 0.\overline{5} + 0.19\overline{4}

⇒ X+Y    

⇒ \frac{5}{9}+\frac{175}{900}

Taking LCD = 900

⇒ \frac{5\times 100}{9\times 100}+\frac{175}{900}

⇒ \frac{500}{900}+\frac{175}{900}

Adding numerators.

⇒ \frac{500+175}{900}

⇒ \frac{675}{900}

⇒ 0.75 (Answer)

7 0
3 years ago
A rectangle has a length that is increasing at a rate of 10 mm per second with the width being held constant. What is the rate o
NISA [10]

Answer:

the rate of change of the area is Ra= 80 mm² per second

Step-by-step explanation:

the area of a rectangle (A) is

A = L * W , L= length and W= width

if the width remains constant the change in the area is only due to the change in length , thus:

ΔA = Δ( L * W ) = W * ΔL , where ΔA represents the change in area and ΔL represents the change in length

ΔA = W ΔL

denoting Δt as the time required to change, and dividing both sides by Δt

ΔA/Δt = W ΔL/Δt

where Ra=ΔA/Δt = rate of change of the area and RL=ΔL/Δt rate of change of the length.

thus

Ra = W * RL

replacing values

Ra = W * RL = 8 mm * 10 mm/second = 80 mm² /second

6 0
3 years ago
There are 20 female performers in a dance recital. The ratio of men to women is 3:4. How many men are in
expeople1 [14]

Answer: 15

Step-by-step explanation: 3:4 5x4=20 5x3=15 15:20

8 0
3 years ago
Read 2 more answers
Plz help me i dotn know this
miv72 [106K]

Answer:

it's D. I think 105 cubic feet

3 0
4 years ago
Read 2 more answers
How to solve step by step [(7,5-1,5) x 10^-11]^2 ??
Oliga [24]
1.7,5-1,5=6
2.10-11=-1
3.6×-1=-6
4.-6+2=-4
5 0
3 years ago
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