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Lisa [10]
2 years ago
6

Can u explain how to solve this?

Mathematics
1 answer:
svlad2 [7]2 years ago
5 0

Answer: B.pi/2

ABCD is a square

=> Δ ABD is a  isosceles right triangle at A

using pythago theorem, we have:

AB² + AD² = BD²

=> 2AD² = 4

⇔ AD² = 2

⇒ AD = √2

through O, draw EF parallel to AD and BC

=> EF is  diameter

because EF//AD => EF = AD = √2 (because circle O is inscribed the square ABCD)

=> the area of the circle is S=\frac{(\sqrt{2})^{2}  }{4}.\pi =\frac{\pi }{2}

Step-by-step explanation:

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Edward Winslow deposited $20,000.00 into a savings account paying 6% annual interest compounded monthly. What amount will be in
Ad libitum [116K]

Answer:

$28360

Step-by-step explanation:

Step one:

Given data

P=20000

rate= 6%

time= 6years

Step two:

compound interest

A=P(1+r)^t

substitute

A=20000(1+0.06)^6

A=20000(1.06)^6

A=20000*1.418

A=$28360

4 0
2 years ago
Christopher scored 7 more than two times the questions Mathew scored on the math test. If Christopher scored 87 on the math test
viktelen [127]

Answer:

40

Step-by-step explanation:

To solve this, we can create an equation that represents this situation. Since Christopher score 7 more than twice what Mathew scored, the equation will be:

C = 2M + 7

(Variables are representative of the first letter of each name)

Seeing as Christopher scored 87, we can put that into the equation and solve for M.

So, the equation will be:

87 = 2M + 7

Subtract 7 from both sides in order to isolate variable M on the right side.

80 = 2M

Now solve for M, which is 40 (divide both sides by 2).

7 0
3 years ago
Can you add a negative and positive fraction or do you have to subtract it?
KengaRu [80]

Answer:

Hi

Step-by-step explanation:

You have to subtract it because you add a negative and positive fraction together you can add a positive with a positive or vice versa but you can add n and p together so you have to subtract.

Hope it helps

6 0
2 years ago
Equations for height of trapezoid
devlian [24]

Answer:

h= \frac{\sqrt{(-a+b+c+d)(a-b+c+d)(a-b+c-d)(a-b-c+d)}}{2|b-a|}

Step-by-step explanation:

  • The height (or altitude) is the perpendicular distance between the bases.
  • In the case that the two bases have different lengths (a ≠ b), the height of a trapezoid h can be determined by the length of its four sides using the formula

h= \frac{\sqrt{(-a+b+c+d)(a-b+c+d)(a-b+c-d)(a-b-c+d)}}{2|b-a|}

where c and d are the lengths of the legs.

Keywords: height of trapezoid

Learn more height of trapezoid from brainly.com/question/3616164

#learnwithBrainly

7 0
3 years ago
Which pair of terms are not like terms?
Oliga [24]

Answer:

C.

Step-by-step explanation:

Like terms must have exactly the same variables and exactly the same exponents.

In C., you have mn and mn^2. That makes the variable parts not the same, so they are not like terms.

Answer: C.

8 0
3 years ago
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