What is the equation, in slope-intercept form, of the line that is perpendicular to the line

Mathematics

1 answer:

kaheart [24]3 years ago

3 0

D) y = x + 1

final anwser

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A drum has a diameter of 26 inches and is 15 inches deep. Find the volume of this drum.

Rainbow [258]

Answer: 7964.97 in³

Step-by-step explanation:

A drum is a cylinder. Therefore, we will have to calculate the volume of a cylinder which will be:

Volume = πr²h

where π = 3.142

r = Diameter/ 2 = 26/2 = 13

h = 15

Volume = πr²h

= 3.142 × 13² × 15

= 3.142 × 169 × 15

= 7964.97 in³

7 0

3 years ago

What is the measure of ∠w, rounded to the nearest degree? 19° 19° 32° 32° 56° 56° 71° 71° a horizontally-aligned scalene triangl

ella [17]

Answer:

(d) 71°

Step-by-step explanation:

The desired angle in the given isosceles triangle can be found a couple of ways. The Law of Cosines can be used, or the definition of the sine of an angle can be used.

Since the triangle is isosceles, the bisector of angle W is an altitude of the triangle. The hypotenuse and opposite side with respect to the divided angle are given, so we can use the sine relation.

sin(W/2) = Opposite/Hypotenuse

sin(W/2) = (35/2)/(30) = 7/12

Using the inverse sine function, we find ...

W/2 = arcsin(7/12) ≈ 35.685°

W = 2×36.684° = 71.37°

W ≈ 71°

<h3>Law of cosines</h3>

The law of cosines tells you ...

w² = u² +v² -2uv·cos(W)

Solving for W gives ...

W = arccos((u² +v² -w²)/(2uv))

W = arccos((30² +30² -35²)/(2·30·30)) = arccos(575/1800) ≈ 71.37°