5. What is the surface area of this triangular pyramid?

Mathematics

1 answer:

Zielflug [23.3K]2 years ago

6 0

Answer: 5cm

Heiwlqmrbeh

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In ∆XYZ, m∠X = 152, y = 15, and z = 19. Find side x and the measure of angle Y to the nearest tenth

solong [7]

The measure of the side $x$ is approximately 33 and the measure of angle $Y$ is approximately 12.321°.

<h3>How to find a missing angle in a triangle by law of sine and law of cosine</h3>

In this problem we must apply the law of cosine and the law of sine to determine the angle Y:

<h3>Law of cosine</h3>

$x = \sqrt{y^{2}+z^{2}-2\cdot y\cdot z\cdot \cos X}$

$x = \sqrt{15^{2}+19^{2}-2\cdot (15)\cdot (19)\cdot \cos 152^{\circ}}$

$x \approx 33$

$\frac{\sin Y}{y} = \frac{\sin X}{x}$

$Y = \sin^{-1}\left(\frac{y}{x}\cdot \sin X \right)$

$Y = \sin^{-1}\left(\frac{15}{33}\cdot \sin 152^{\circ} \right)$

$Y \approx 12.321^{\circ}$

The measure of the side $x$ is approximately 33 and the measure of angle $Y$ is approximately 12.321°. $\blacksquare$

To learn more on triangles, we kindly invite to check this verified question: brainly.com/question/25813512

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2 years ago

Find the value of “O”

nexus9112 [7]

O= 4 & -4

Explain: it shows on the paper

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3 years ago

No links please

Alja [10]

Answer: A 40 feet

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If a building is 380 feet tall and the elevator has to descend 420 feet to get to the underground parking garage. So 420 - 380 to remove the height of the building from the equation. This would give us 40 feet underground left until the elevator reaches its desired destination.

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What is another name for a relation that has each element in its domain paired with exactly one element in its range? Apex

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Another name for a relation is a function.

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What is 45 divided by 8.0

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answer is 5.625

hope it helps