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Lisa [10]
2 years ago
14

The diagram shows a right-angled triangle.

Mathematics
1 answer:
alex41 [277]2 years ago
7 0

Answer:

h = 20.3 cm

Step-by-step explanation:

Apply trigonometric ratio formula to find h.

Reference angle = 40°

Opposite side length = 17 cm

Adjacent side = h

Thus:

Tan (40) = 17/h

h × tan (40) = 17/h × h (multiplication property of equality)

h × tan(40) = 17

(h×tan(40)/tan(40) = 17/tan(40) (division property of equality)

h = 20.3 cm (1 decimal place)

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3 0
2 years ago
"a pollster wishes to estimate the number of left-handed scientists. how large of a sample is needed in order to be 98% confiden
nadezda [96]
The sample size should be 250.

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Using a z-table (http://www.z-table.com) we see that this value has a z-score of approximately 2.33.  Using this, our margin of error and our proportion, we have:

0.04=2.33\sqrt{\frac{0.08(1-0.08)}{n}}&#10;\\&#10;\\0.04=2.33\sqrt{\frac{0.08(0.92)}{n}}

Divide both sides by 2.33:
\frac{0.04}{2.33}=\sqrt{\frac{0.08(0.92)}{n}}

Square both sides:
(\frac{0.04}{2.33})^2=\frac{0.08(0.92)}{n}

Multiply both sides by n:
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4 0
3 years ago
Please help
mafiozo [28]

Answer:

Easy it's a right hand child

Step-by-step explanation:

Because if both husband and wife both have right hands. And it's 10% chance the child will be left handed. Then it's possible that the child is going to be a right hand.

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3 years ago
What is the equation of the line that passes through the point (-4,-2) and has a slope of -1/2
vampirchik [111]

Answer: y=-1/2x-4

Step-by-step explanation:

If you use point slope formula you get

y+2=-1/2(x+4)

simplify that in y=mx+b and you get

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3 years ago
. Two rectangles have a ratio of similarity of 4/7. If one side of the small rectangle is 12m long, how long is the same side of
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For two rectangles to be similar, their sides have to be proportional (form equal ratios). The ratio of the two longer sides should equal the ratio of the two shorter sides.

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