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3 years ago

Solve.

Mathematics

2 answers:

IgorLugansk [536]3 years ago

8 0

Answer:

(B)

Step-by-step explanation:

Area Formula:

$A=a^2$

By squaring 10, we get 100:

$10^2 = 100$

So B is the best answer.

Alecsey [184]3 years ago

7 0

Answer:

Step-by-step explanation:

Square root of 100 is 10

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Given: ΔPSQ, PS = SQ

horrorfan [7]

<h2>Answer:</h2>

To solve this problem we will use Heron's formula:

$A=\sqrt{s(s-a)(s-b)(s-c)}$

Where $a, \ b \ and \ c$ are the side lengths of the triangle and $s$ is the semiperimeter (half the perimeter of the triangle). We know that:

$Perimeter \ P=\triangle PSQ=PS+PQ+SQ: \\ \\ \triangle PSQ=P=50 \\ \\ Semiperimeter \ s: \\ \\ s=\frac{P}{2}=25$

Also:

$(I) \ PS=SQ \\ \\ (II) \ SQ-PQ = 1 \\ \\ (III) \ PS+PQ+SQ=50 \\ \\ \\ (I) \ into \ (III): \\ \\ SQ+PQ+SQ=50 \\ \\ \therefore (IV) \ 2SQ+PQ=50 \\ \\ From \ (II): \\ \\ PQ=SQ-1 \\ \\ (II) \ into \ (IV): \\ \\ 2SQ+(SQ-1)=50 \\ 3SQ-1=50 \\ 3SQ=51 \\ \\ \boxed{SQ=17} \\ \\ \boxed{PS=17} \\ \\ PQ=SQ-1=17-1 \therefore \boxed{PQ=16}$

Finally:

$A=\sqrt{s(s-a)(s-b)(s-c)} \\ \\ A=\sqrt{s(s-PS)(s-SQ)(s-PQ)} \\ \\ A=\sqrt{s(s-17)(s-17)(s-16)} \\ \\ A=\sqrt{25(25-17)(25-17)(25-16)} \\ \\ \boxed{A=120}$

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3 years ago

The weight of eggs from a local farm are Normally

SVEN [57.7K]

Answer:

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Step-by-step explanation:

I just took the assignment on edge. Good luck

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4 years ago

Probability played a role in the rigging of the April 24, 1980, Pennsylvania state lottery. To determine each digit of the three

Whitepunk [10]

Answer:

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Step-by-step explanation:

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3 years ago

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Step-by-step explanation: