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Anuta_ua [19.1K]
3 years ago
7

A ladder is leaning against a

Mathematics
1 answer:
vlada-n [284]3 years ago
4 0

Answer:

The angle of elevation is 36.87 degrees

Step-by-step explanation:

see the attached figure to better understand the problem

In the right triangle ABC of the figure

cos(\theta)=\frac{AC}{BC} ----> by CAH (adjacent side divided by the hypotenuse)

substitute the given values

cos(\theta)=\frac{12}{15}

\theta=cos^{-1}(\frac{12}{15})=36.87^o

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3 years ago
A rock is thrown into a still pond. The circular ripple move outward from the point of impact of the rock so that the area of th
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Answer:

\approx 31.42 \text{   Square feet per minute}

Step-by-step explanation:

Area of the Pond A= \pi r^2

The increase in the area of the pond as it moves outward is: \frac{dA}{dt}

\frac{dA}{dt}=\frac{d}{dt}\pi r^2\\\frac{dA}{dt}= 2\pi r \frac{dr}{dt}

Since the area of the circle formed increases at the rate of 100 square feet per minute.

\frac{dA}{dt} = 100 Square feet per minute

When the radius, r = 5 feet, we want to determine the rate at which the radius is changing, \frac{dr}{dt}.

\frac{dA}{dt}= 2\pi r \frac{dr}{dt}\\100=2*5*\pi \frac{dr}{dt}\\\frac{dr}{dt} =\frac{100}{10 \pi} =10 \pi \approx 31.42 \text{  Square feet per minute}

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3 years ago
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Answer:

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3 years ago
What is the difference between 3x hdmi and 4x hdmi?
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There is a global standard for connecting high-definition electronics and PC products. HDMI technology helps in providing people with the highest signal possible to meet the current needs of HD entertainment systems with only a single cable that it uses for transmission. Currently, every new digital TV must have at least one HDMI port and the the connectivity has been standardized on one range of electronic products. 2x, 3x, 4x is the number of HDMI ports. This implies that 4x has more ports than 3x.
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3 years ago
Last Saturday 16 people worked at the theater. 4 people worked the morning shift and 12 people worked the evening shift. They ea
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I think the fact that there were 4 people in the morning and 12 people in the evening doesn't help us at all. All we need to do is to divide the total amount of what they earned by 16:

$1,032.00 ÷ 16 =
= $64.50

Answer: <u>Each worker earned $64.50.</u>
8 0
3 years ago
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