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3 years ago

Explain how you can calculate this using 100% - 18% = 82%.

Mathematics

1 answer:

Amanda [17]3 years ago

4 0

U calculated it by using the rule of subtraction

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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:

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

7 0

3 years ago

What type of number is -4n

Luden [163]

From your choices, Id say integer

4 0

3 years ago

(Please help a sister out)!

MrRissso [65]

Answer:

Distributive

Step-by-step explanation:

when you distribute 3 to x, 3y, and 5, you get 3x+9y+15, which is equivalent to the other expression when you simplify it

5 0

4 years ago

I couldn't find this answer anywhere!! -x/6+6=32

prisoha [69]

Answer.

x=156

How to solve

x /6 +6=32

1 /6 x+6=32

1 /6 x+6−6=32−6

1 /6 x=26

6*( 1/ 6 x)=(6)*(26)

x=156

5 0

3 years ago

Suppose it snowed 5 inches in 2 days. Then 5/2 describes the average daily snowfall. Write the improper fraction as a mixed numb

cricket20 [7]

Answer:

5/2 = 2 1/2

Step-by-step explanation:

There are 2 parts in one half, meaning 2 halves equals 1.

If you have 5 halves, you of course would get an improper fraction.

To find the answer, dive the numerator by the denominator. 5 ÷ 2 gives you 2.5, or 2 1/2.

Think about it this way: How many times does will 2 go in to 5 evenly? Twice. 2 times 2 is 4, leaving you with one left over. Whatever the remainder is, is the numerator for the improper fraction, and the denominator stays the same.

6 0

3 years ago