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krek1111 [17]
3 years ago
13

Elliott’s backyard is 4800 square feet. His dad is going to pave 15% of this area to use as a patio. How many square feet will b

e paved?
A. 480 ft²

B. 720 ft²

C. 1500 ft²

D. 2250 ft²
Mathematics
1 answer:
Gennadij [26K]3 years ago
3 0

Step-by-step explanation:

\frac{15}{100}  \times 4800 \: ft {}^{2}

15 \times 18

720 \: ft {}^{2}

the answer is B

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1/2 of Ila’s workspace is covered in paper. 1/3 of the paper is covered in yellow sticky notes. What fraction of Ila’s workspace
Gennadij [26K]

Answer:

\frac{1}{6}          

Step-by-step explanation:

We have been given that 1/2 of Ila’s work-space is covered in paper. 1/3 of the paper is covered in yellow sticky notes.

Ila’s work-space is covered in yellow sticky notes would be 1/3 of 1/2.

\text{Ila’s workspace is covered in yellow sticky notes}=\frac{1}{3}\times \frac{1}{2}  

\text{Ila’s workspace is covered in yellow sticky notes}=\frac{1\times1}{3\times 2}  

\text{Ila’s workspace is covered in yellow sticky notes}=\frac{1}{6}

Therefore, \frac{1}{6} of Ila’s workspace is covered in yellow sticky notes.

7 0
3 years ago
Given f(x) and g(x) = f(x) + k, look at the graph below and determine the value of k.
EastWind [94]

Answer:

Step-by-step explanation:

F(x) G(x)

7 0
3 years ago
Round 8.54951607694 to 6 decimal places.
Ratling [72]

Answer:

8·549516

Step-by-step explanation:

To round the number given to 6 decimal place, we will follow the steps below;

First count six digits after the decimal point

Then after the six digit number take the next number and see if it below 5 then this means you will be rounding down, so you will leave your six digit after the decimal points the way they are and discard the other digits after the the six digits, but if the digit number right after the sixth digit is 5 and above, then you will be rounding up, you will add one to your sixth digit and then discard the digits after the sixth digits.

That is;

In the number given: 8.54951607694

The sixth digit after the decimal point is 6, the number that comes after it is zero, so we will leave the 6 the way it is and discard the other digits after 6

8.54951607694  ≈  8·549516  to 6 decimal place

4 0
3 years ago
Plz asap 1. (5 points) What is the value of x? Show all of your work. Round your answer to the nearest tenth.
nalin [4]

Answer:

X = 20.6 inches

Step-by-step explanation:

Pythagorean Theorem: A^{2} =B^{2} +C^{2}

A = 41.2 in, while B = 35.7 in and we are solving for C.

41.2^{2} = 35.7^{2} +C^{2}

1697.44 = 1274.49 + C^{2}

Now solve for C

422.95 = C^{2}

Take the square root

20.5657482237 = C

3 0
3 years ago
The height of a triangle is 12 centimeters more than its base. The area of the triangle is 189 square centimeters Find the base
telo118 [61]

Answer:

C

Step-by-step explanation:

the area of a triangle is

baseline × height / 2

so, we know in our case

b(b+12) = 189 cm²

b² + 12b - 189 = 0

let's try to solve this by completing the square.

that means we try to find the expression

(b + k)² + c

that is equal to

b² + 12b - 189

(b + k)² + c = b² + 2kb + k² + c = b² + 12b - 189

so,

2k = 12

k = 6

and then

k² + c = -189

6² + c = -189

36 + c = -189

c = -225

(b + 6)² - 225 = 0

(b + 6)² = 225

b + 6 = 15

b = 9

so, the baseline b = 9 cm.

the height b+12 = 9+12 = 21 cm.

6 0
2 years ago
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