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lora16 [44]
3 years ago
10

Given that R is between S and T, find the measure of TS RS=6 TR=4.5 TS=?

Mathematics
1 answer:
Ber [7]3 years ago
6 0

Answer:

\huge\boxed{TS = 10.5}

Step-by-step explanation:

<u><em>Given that:</em></u>

R is a point lying on line TS

So,

TS = TR + RS

Where TR = 4.5 and RS = 6

=> TS = 4.5 + 6

=> TS = 10.5

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Shelby tossed 3 quarters into the air. What is the probability that all 3 quarters will land heads up
BaLLatris [955]

Answer:

For 3 quarters, the probability that all 3 quarters will land heads up is ;

P = 1/2 × 1/2 × 1/2 = 1/8

P = 1/8

Step-by-step explanation:

The probability that one quarter will land heads up is 1/2.

For 3 quarters, the probability that all 3 quarters will land heads up is ;

P = 1/2 × 1/2 × 1/2 = 1/8

P = 1/8

4 0
4 years ago
A 30-meter high building sits on top of a hill. The angles of elevation of the top and bottom of the building from the same spot
Vladimir79 [104]
<h2>A 30-meter high building sits on top of a 151.52 meter high hill.</h2>

Explanation:

According to the given data, we can draw a figure (Please refer the attachment below)

Building's height = 30 meter

Angle of elevation from a spot to the top of the building = 55 degrees

Angle of elevation from the spot to the top of the building = 50 degrees

To find the height of the hill, we need to use the formula,

tan \,\theta = \frac{opposite \,side}{adjacent \,side}

then, tan \,50 = \frac{h}{x}

\Rightarrow x = \frac{h}{tan 50}

\Rightarrow x = \frac{h}{1.192}   .... (1)

Similarly, tan \,55 = \frac{30+h}{x}

\Rightarrow x = \frac{30+h}{tan 55}

\Rightarrow x = \frac{30+h}{1.192}   .... (2)

(1) = (2) becomes

\frac{h}{1.192} = \frac{30+h}{1.428}

[tex]\Rightarrow [tex] 1.428h  = (30 + h)1.192

1.428h  =  35.76 + 1.192h

1.428h - 1.192h = 35.76

0.236h = 35.76

h = 151.52 meter

Therefore, the hill highs 151.52 meter.

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Answer:

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C: 60 is double 30, so it would take two hours to get from Albany to New York City.

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