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Tema [17]
3 years ago
12

Given: PQ ⊥ QR , PR=20, SR=11, QS=5 Find: The value of PS.

Mathematics
1 answer:
dlinn [17]3 years ago
7 0

Answer:

The value of the side PS is 26 approx.

Step-by-step explanation:

In this question we have two right triangles. Triangle PQR and Triangle PQS.

Where S is some point on the line segment QR.

Given:

PR = 20

SR = 11

QS = 5

We know that QR = QS + SR

QR = 11 + 5

QR = 16

Now triangle PQR has one unknown side PQ which in its base.

Finding PQ:

Using Pythagoras theorem for the right angled triangle PQR.

PR² = PQ² + QR²

PQ = √(PR² - QR²)

PQ = √(20²+16²)

PQ = √656

PQ = 4√41

Now for right angled triangle PQS, PS is unknown which is actually the hypotenuse of the right angled triangle.

Finding PS:

Using Pythagoras theorem, we have:

PS² = PQ² + QS²

PS² = 656 + 25

PS² = 681

PS = 26.09

PS = 26

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Naddika [18.5K]

Answer:

The only grouping that is a true proportion is B.

Step-by-step explanation:

To tell if two are proportional, simply multiply the numerator from the first by the denominator of the second. Then multiply the denominator from the first and the numerator for the second. If the two products are the same, then it is proportional.

B) 4/12 = 6/18

4*18 = 12 * 6

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3 years ago
Can someone help, i think its B but i dont think thats right.
suter [353]
It looks right to me
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3 years ago
Solve for x.<br> -15x + 60 ≤ 105 AND 14x + 11 ≤ -31
givi [52]

Answer:

  1. x ≥ -3
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Step-by-step explanation:

-15x + 60 ≤ 105

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3 years ago
Read 2 more answers
Don went to his favorite restaurant and ordered a meal. His bill came out to $15.77. He wants to pay a 15% tip. How much did he
melamori03 [73]
You want to leave a 15% tip on a meal that cost $15.77.
First, convert the 15% to an actual number that can be used in a calculation. For percents,this is always done by simply dividing the percent (in this case 15%) by 100%.So, the conversational term "15%" becomes 15% / 100% = 0.15 in terms of a real mathematical number.
Second, you need to find out what 15% of your $15.77 meal cost is.This is always done by multiplying 0.15 by $15.77, or

0.15 x $15.77=$2.37.
So, the amount of tip you are going to leave is $2.37.

This makes the total cost of your meal (to write on your charge slip or other payment)

$15.77 + $2.37 = $18.14

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Answer:

12

Step-by-step explanation:

We know that AD=BC and that AB=CD. We also know the perimeter of the rectangle ABCD to be 54 units.

From this, we can add up the sides which will be equal to 54 units.

AD+BC+AB+CD=54

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Since we are trying to find the length of side BC we substitute this value back into 2x.

BC=2x =2*6=12

Therefore, the length of BC is 12 units.

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3 years ago
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