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marta [7]
2 years ago
10

XZ=n, WZ=2x-5, and the perimeter of ΔXWZ is 20. What is the value of n?

Mathematics
1 answer:
Sergio039 [100]2 years ago
3 0

Answer:

d.

Step-by-step explanation:

Since it's an isosceles triangle, WX=WZ= 2n-5

Perimeter = n + (2n-5) + (2n-5)

= 5n - 10

The Perimeter is given to be 20

5n - 10 = 20

5n = 30

n = 6

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A tower stand on a horizontal plane. P is the top and Q is the bottom of the tower. A and B are two points on this plane such th
pochemuha

Answer:

32√5

Step-by-step explanation:

We have the right triangles PQA and PQB as well as the given right triangle QAB.

cot(PAQ) = 2/5 = QA/PQ

cot(PBQ) = 3/5 = QB/PQ

cot(PAQ) / cot(PBQ) = (2/5) / (3/5) = 2/3

cot(PAQ) / cot(PBQ) = (QA/PQ) / (QB/PQ) = QA / QB

QA / QB = 2/3

QA = (2/3) QB

QB = (3/2) QA

By the Pythagorean Theorem we have:

(QA)² + 32² = (QB)²

(QA)² + 32² = (3/2 QA)²

(QA)² + 1024 = (9/4) (QA)²

(5/4) (QA)² = 1024

(QA)² = (4/5)1024 = 4096/5

QA = 64/√5

Solve for PQ.

cot(PAQ) = QA/PQ

PQ = QA / cot(PAQ)

PQ = (64/√5) / (2/5) = 32√5

The height of the tower is 32√5.

7 0
3 years ago
Pasha traveled 217 miles in 3.5 hours, how far does she travel in 1 hour
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62 miles 217/3.5 to get mph then mph is 62 so every hour they travel 62 miles
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3 years ago
Triangle X Y Z is shown. Angle Y X Z is a right angle. The length of Y X is 12 inches and the length of X Z is 10 inches. Angle
mario62 [17]

The best approximation for the measure of angle XYZ is 39.8° ⇒ 2nd answer

Step-by-step explanation:

Let us revise the trigonometry ratios in the right triangle ABC, where B is the right angle, AC is the hypotenuse, AB and BC are the legs of the triangle

The trigonometry ratios of the angle BAC, the opposite side to this angle is BC and the adjacent side to it is AB are

  • sin(BAC)=\frac{opposite}{hypotenuse}=\frac{BC}{AC}
  • cos(BAC)=\frac{adjacent}{hypotenuse}=\frac{AB}{AC}
  • tan(BAC)=\frac{opposite}{adjacent}=\frac{BC}{AB}

In Δ XYZ

∵ ∠ YXZ is a right angle

∴ The hypotenuse is YZ

∵ The adjacent side to ∠XYZ is XY

∵ The opposite side to ∠XYZ is XZ

∵ YX = 12 units

∵ XZ = 10 units

- Use tan ratio to find the measure of the angle because you

   have the adjacent and opposite sides of the angle XYZ

∵ m∠XYZ is x

∵ tan(x)=\frac{XZ}{XY}

∴ tan(x)=\frac{10}{12}

- To find x use the inverse of tan(x)

∵ x=tan^{-1}(\frac{10}{12})

∴ x = 39.8°

∴ m∠XYZ = 39.81°

The best approximation for the measure of angle XYZ is 39.8°

Learn more:

You can learn more about the trigonometry ratios in brainly.com/question/4924817

#LearnwithBrainly

4 0
3 years ago
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The half-life of a radioactive substance is the time required for half of a sample to undergo radioactive decay, or for the quan
Ilya [14]
That's two half lives. 5/8 * 2 * 2 = 20/8 = 5/2 pounds7/8 * 2 * 2 = 28/8 = 7/2 pounds
6 0
2 years ago
Read 2 more answers
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