If the following ratios are proportional, what is the missing quantity? 10.2/3 ; 17/5; _____/11; 57.8/17

Mathematics

1 answer:

alukav5142 [94]3 years ago

7 0

Answer:

37.4

Step-by-step explanation:

Use one of ratios to find the missing quantity:

17/5 = x/11

Cross-multiply:

5x = 17*11
x = 17*11/5
x = 37.4

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HURRY!!!!!!!!! Given P(5,10,8) and Q(7,11,10), find the midpoint of the segment PQ.

rusak2 [61]

Answer:

$P_{m}=(6,10.5,9)$

Step-by-step explanation:

The mid point can be found with the formula

$P_{m}=(\frac{x_{1}+x_{2} }{2},\frac{y_{1} +y_{2} }{2} ,\frac{z_{1}+z_{2} }{2} )$

The given coordinates are $P(5,10,8)$ and $Q(7,11,10)$ .

Replacing coordinates in the formula, we have

$P_{m}=(\frac{5+7}{2},\frac{10+11 }{2} ,\frac{8+10}{2} )=(\frac{12}{2},\frac{21 }{2} ,\frac{18}{2} )\\P_{m}=(6,10.5,9)$

Therefore, the mid point of the segment PQ is $P_{m}=(6,10.5,9)$

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3 years ago

Use the diagram of the right triangle above and round your answer to the nearest hundredth. If m a. 17.32 m b. 6.93 m<b

zepelin [54]

In ΔABC,
tanA = a/b
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3 years ago

Which is the difference of 21 1/4 - 18 2/4? A:2 1/4. B:2 2/4. C:2 3/4. D:3 1/4.

seropon [69]

Answer:

2 3/4 C

Step-by-step explanation:

$(21+\frac{1}{4})-(18+\frac{2}{4})\\=21-18+\frac{1}{4} -\frac{2}{4} \\=3-\frac{1}{4} \\=\frac{12-1}{4} \\=\frac{11}{4} \\=2\frac{3}{4} \\or\\21\frac{1}{4} -18\frac{2}{4} \\=\frac{85}{4} -\frac{74}{4} \\=\frac{85-74}{4} \\=\frac{11}{4} \\=2\frac{3}{4}$