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Kipish [7]
3 years ago
13

Find the area of a square with a diagonal of 8cm.

Mathematics
1 answer:
klio [65]3 years ago
7 0
You have to use the Pythagorean theorem but there is a little twist here since a square has has equal sides. So:
x^2+x^2=8
2x^2=8
2/2x^2=8/2
x^2=4
√x^2=√4
x=2
The side of the square is 2.
So now the area of a square is:
Side×Side
2×2=4
The area of the square is 4 centimetres
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2. Round the following numbers to the nearest 10 thousand:
Vlad [161]

The  values of the given numbers when it is rounded up to the nearest 10 thousands are:

  • 990000
  • 150000

<h3>What is rounding up in mathematics?</h3>

Rounding up can be described as the process that is been used in the mathematics which is been used in the estimation of a particular number in a context.

It should be noted that in rounding the  a number up, it is required to look at the next digit at the right hand of the given figures in a case whereby the digit is less than 5,the digit can be rounded down, but in the case whereby the digit is more that 5 then it can be rounded up .

From the given values, we are given the 990,201 and 159,994  and if this were to rounded up to the nearest 10 thousand then we will start from the right hand sides and round down the values less than 5 and round up the values that is more that 5. and their values will be 990000

and 150000.

Read more about rounding up at:

brainly.com/question/28324571

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8 0
1 year ago
Can a variable be at the end of an equation
amm1812
Yes

Example
1+1 = x

Hope this helps
(a brainliest would be appreciated)
3 0
3 years ago
If sin theta = 3/4 and is in the first quadrant, then cos theta
Rashid [163]

Answer:

\frac{\sqrt{7} }{4}

Step-by-step explanation:

since sin theta = 3/4, opposite length = 3 units and hypotenuse length = 4 units

by pythagoras' theorem, adjacent length = \sqrt{7}

thus cos theta = adjacent/hypotenuse = \frac{\sqrt{7} }{4}

7 0
1 year ago
Read 2 more answers
Higher Order Thinking a carpenter plans to extend the length of rectangular desk by 7 feet. Let x represent the desk's original
abruzzese [7]

Answer:

d. 9x + 63 and 63 square feet

Step-by-step explanation:

Given

Original

Length = x

Width = 9

Extended

Length = x + 7

Width = 9

Area = 9(x + 7)

Required

Determine an expression and the value of the extended area

First, we calculate the area of the original desk

A_1 = x * 9

A_1 = 9x

From the given parameters, we have:

Area = 9(x + 7) --- area of the new surface

Open bracket

Area = 9x + 63

The area of the new surface is the summation of the area of the original desk and the area of the extended portion (E)

So:

Area = A_1 + E

Make E the subject

E= Area - A_1

E= 9x + 63 - 9x

E= 63

Hence, the area of the extended portion is 63

7 0
2 years ago
Whats the answer to -4-x+5x-3
Leto [7]

Answer:

4x-7

Step-by-step explanation:

4 0
3 years ago
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