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3 years ago

Evaluate. Write your answer as a mixed number.

Mathematics

1 answer:

HACTEHA [7]3 years ago

7 0

8 2/3 :) This is what I got.

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The floor of a shed given on the right has an area of 85 square feet. The floor is in the shape of a rectangle whose length is 7

lesya692 [45]

Answer: Length = 10 feet and width = 8.5 feet.

Step-by-step explanation:

Let x be the width of the floor.

Then length of the floor = $2x-7$

Given : The area of the floor = 85 square feet

We know that the area of a rectangle is given by :-

$A=l\times w$

$\Rightarrow\ 85=(2x-7)\times x\\\\\Rightarrow\ 2x^2-7x-85=0\\\\\ x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\\Rightarrow\ x=\dfrac{7\pm\sqrt{49-4(2)(-85)}}{4}\\\\\Rightarrow\ x=\dfrac{7\pm27}{4}\\\\\Rightarrow\ x=\dfrac{17}{2}, -5$

But dimension cannot be negative

So, the width of the floor = $x=\dfrac{17}{2}=8.5\text{ feet}$

And the length of the floor = $2(8.5)-7=10\text{ feet}$

6 0

4 years ago

Read 2 more answers

320% of 69 is what number?

rusak2 [61]

Answer:

220.8

Step-by-step explanation:

hope this helps

7 0

3 years ago

Pls help I’ll mark brainliest!!

makkiz [27]

Answer:

Answer is explained in the photo

6 0

3 years ago

A circle has a circumference of 34 54 cm. What is the area of the circle to the nearest whole centimeter? Use 3.14

inysia [295]

Answer:

Step-by-step explanation:

We know that the Circumference = 3454 cm

And we also know that the formula for the Circumference of Circle is,

$2\pi \times r$

So we can put the equation this way,

$3454 = 2\pi \times r$

So we can solve for 'r'

$3454 = 2 \times 3.14 \times r \\ 3454 = 6.28r \\ r = \frac{3454}{6.28} \\ r = 550$

Now we have radius and we can solve for the area of the circle,

$\pi \times {r}^{2}$

$3.14 \times 550 \times 550 \\ = 949850$

We can convert this to meter,

9498.5 m

I am not sure if this is correct just let me know thanks :)

8 0

3 years ago

WILL MARK! please help:)<br> Find x and y so that ABCD will be a parallelogram.

Volgvan

Answer:

The answer is the first one; x = 6 y =42

5 0

3 years ago