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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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Jet001 [13]

To find the answer all you do is switch the percentage to a decimal and multiply by the number you were given. For example on 1a, 19% as a decimal is 0.19 and 0.19 * 360 is 68.4. All of 1 and 2 questions work this way. For number three, take the fraction and convert it to a decimal (so 1/2 will be 0.5, 1/3 will be 0.33, etc) and add that to the whole number. For example, 3a would be 33.33%. 3b would be 12.5%.

Hope this helps!

5 0
3 years ago
Help can y’all explain this
givi [52]

Answer:

22

Step-by-step explanation:

convert into mixed fraction

11/2 divided by 1/4

then keep change flip

11/2 *4/1

then cancel common factor and cross multiply

11*2/1*1=22

4 0
3 years ago
You put a frozen pizza in the oven. After 20 minutes,
Aleks [24]

T(t) = temp at any given time t = time. To = initial temp of the heated object ... A cake removed from the oven has a temperature of 210°F It is left to room that has a temperature of 70°F. After 30 minutes, the temperature of in is 140°F a. Use Newton's Law of Cooling to find a model for the temperatur ... 20 = 1402 -0.02317.

4 0
3 years ago
3 years ago a father was 4 times as old as his daughter is now. The product of their present ages is 430. calculate the present
iren [92.7K]

If the product of the present age of father and his daughter is 430 and the age of father was 4 times as old as his daughter is now, then the present age of father is 43 and the present age of daughter is 10.

Given that the product of the present age of father and his daughter is 430 and the age of father was 4 times as old as his daughter is now.

We are required to find the present age of the father and daughter.

Suppose the present age of the father is x.

Suppose the present age of his daughter is y.

We are given product of present ages be 430.

xy=430----------1

y=430/x

According to question,

x-3=4y

Put the value of y=430/x.

x-3=4*430/x

x^{2}-3x=1720

x^{2} -3x-1720=0

x=(3±\sqrt{3^{2}-4*1*(-1720) })/2*1

x=3±\sqrt{6889})/2

x=(3±83)/2

x=(3+83)/2

(Ignoring the negative value because the age cannot be negative as it is coming before the greater number)

x=43

y=430/x

y=430/43

y=10

Hence if the product of the present age of father and his daughter is 430 and the age of father was 4 times as old as his daughter is now, then the present age of father is 43 and the present age of daughter is 10.

Learn more about product at brainly.com/question/10873737

#SPJ9

5 0
2 years ago
The function fx) = x has been translated 9 units up and 4 units to the right to form the function gx). Which represents
PSYCHO15rus [73]

Answer:

G(x)=(x-4)+9

Step-by-step explanation:

If the graph going to the left or right, then it will in like (x plus or minus #). REMEMBER THE SIGN WILL BE OPPOSIT FOR EXAMPLE: IF IT SAY RIGHT, THEN OPPOSIT SIGN WILL BE NEGATIVE (minus). IF IT SAY LEFT, THEN OPPOSIT SIGN WILL BE POSITIVE (plus).

If the graph looking up or down, then it will be like: (x) plus or minus #. THE SIGN ARE THE SAME. FOR EXAMPLE: IF IT SAY UP, THEN IT IS PLUS (positive). IF IT SAY DOWN, THEN IT IS MINUS (negative)

6 0
3 years ago
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