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Gnesinka [82]
3 years ago
12

Kim has read 35 pages a book. that is 20% of the total number of pages. how many pages long is kim's book?

Mathematics
1 answer:
lozanna [386]3 years ago
5 0
Kim's book has a total of 175 pages. Please let me know if I was right:)
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What is one possible solution for the triangle below?
elixir [45]
Answer:

segment YZ ≈ 19.4 in
angle X ≈ 85.3°
angle Z ≈ 26.7°

Explanation:

1) Given two side lenghts and one angle you can use sine law:

\frac{sinA}{a} = \frac{sinB}{b} = \frac{sinC}{c}

2) Using the sides with length 43 in and 40in, and the corresponding opposite angles, Z and 68°, that leads to:

\frac{sinZ}{43} = \frac{sin68}{40}

From which you can clear sinZ and get:

sinZ = 43 × sin(68) / 40 = 0.9967

⇒ Z = arcsine(0.9967) ≈ 85.36°


3) The third angle can be determined using 85.36° + 68° + X = 180°

⇒ X = 180° - 85.36° - 68° = 26.64°.

4) Finally, you can apply the law of sine to obtain the last missing length:

\frac{x}{sin(26.64)} = \frac{40}{sin(68)}

From which: x = 40 × sin(26.64°) /  sin(68°) = 19.34 in

The answer, then is:
segment YZ ≈ 19.4 in
angle X ≈ 85.3°
angle Z ≈ 26.7°
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3 years ago
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Simplify the ratio 24:135
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Find the height of the triangle.
wel

Answer:

4

Step-by-step explanation:

BCD is a right triangle. The Pythagorean Theorem applies; a^2 + b^2 = c^2, with c being the hypotenuse. a^2 + 9 = 25, so a^2 = 16, so a = 4

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2 years ago
The length of a shadow of a building is 28m. The distance from the top of the building to the shadow is 38m. Find the height of
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It appears that the Pythagorean theorem can be applied to this problem
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Then the height of the building is
  height of building = √660 m ≈ 25.7 m
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3 years ago
If a is negative, then<br> is negative.
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A negative and a negative is a positive and a negative is a negative
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