Find the difference 5/8 - 1/3

Mathematics

1 answer:

Dafna1 [17]3 years ago

5 0

I believe it is 7/24

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Can anyone teach plsssss........................ Given that PR= 17cm and SR= 6cm.Find the length, in cm of TS.

Lemur [1.5K]

Answer:

9cm

Step-by-step explanation:

Since PQST is a rectangle, ∠QST=∠QSR=∠90º. So triangle QSR is a right triangle.
By the Pythagorean Theorem and that SR=6 and QR=10, we can say that 6^2+b^2=10^2. So, 36+b^2=100. And b^2=64 and b=8. So QS=8.
Now we know that QS=PT=8.
By the Pythagorean Theorem and that PR=17 and PT=8, we can say a^2+8^2=17^2. So, a^2+64=289. And a^2=225 and a=15.
We know that TR=15 and SR=6 and TR-SR=TS, so 15-6=9.

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3 years ago

A 30 foot ladder needs to reach 18 feet high against a building. What would the approximate angle of elevation be from the groun

yaroslaw [1]

Answer: The angle of elevation would be 36.87 degrees (approximately)

Step-by-step explanation: Please refer to the attached diagram for details

The 30-foot ladder reaches a point in the building which is point A. The height at which the ladder touches the building is 18 feet (that is, the height of the building, line AC. The angle of elevation from the ground is at angle B, the angle which the ladder forms with the ground.

So we have a right angled triangle ABC, with two sides and a reference angle B. To find angle B, we shall apply the trigonometric ratio;

SinB = opposite/hypotenuse

SinB = 18/30

SinB = 0.6

By use of a calculator or table of values

B = 36.8698

Approximately, angle B = 36.87 degrees

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