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Gennadij [26K]
3 years ago
11

CALCULATE THE VALUE OF X IN THE FOLLOWING DIAGRAM.​

Mathematics
1 answer:
Dvinal [7]3 years ago
8 0

Answer:

tan(55.3)  =  \frac{ac}{10.5}

ac=

10.5 \tan(55.3)

x = 10.5 \tan(55.3)  - 10.5

x = 4.67(2dp)

ac

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Pru, Piper, and Phoebe share apples in the ratio 5:3:4. If Pru has 24 more apples than Piper, how many apples does Phoebe have?
Bezzdna [24]

Answer: Phoebe have 48 apples.

Explanation:

It is given that Pru, Piper, and Phoebe share apples in the ratio 5:3:4. If Pru has 24 more apples than Piper.

Let the total number of apples be x.

The sum of the ratios is,

Sum=5+3+4=12

Therefore the number of apples shared by Pru, Piper, Phoebe are \frac{5}{12}x, \frac{3}{12}x,\frac{4}{12}x respectively.

It is given that Pru has 24 more apples than Piper, so

\frac{5}{12}x-\frac{3}{12}x=24

\frac{5-3}{12}x=24

\frac{2}{12}x=24

\frac{1}{6}x=24

x=144

Since phoebe have \frac{4}{12}x appels,

\frac{4}{12}x=\frac{4}{12}\times 144=48

Therefore, Phoebe have 48 apples.

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2 years ago
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