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3 years ago

A 29 foot ladder leans against a building so that the angle between the ground and the ladder is 77º. How

Mathematics

1 answer:

Dimas [21]3 years ago

7 0

Answer:

5 √ 10 + 2 √ 5 ft high

Step-by-step explanation:Explanation:

Let h be the height to which latter of length of 20 ft reach then using Sine formula in right triangle with hypotenuse 20 & vertical leg h & opposite acute angle 0 = 72∘ sin θ =h 20 sin 72∘= h 20

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Write (3 ten thousands 4 hundreds) x10

umka2103 [35]

30400x10 that's the answer

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3 years ago

The depth of the snow at Yellowstone National Park in April at the lower geyser basin was normally distributed with a mean of 3.

Leona [35]

Answer:

$X =4.94\ in$

Step-by-step explanation:

For a standard normal distribution of mean $\mu_z = 0$ and $\sigma_z = 1$

the statistic $Z = \frac{X - \mu}{\sigma}$

In this problem we look for the value of X that is 2 standard deviations above the mean.

If there are two standard deviations above the mean, then, in the standard normal distribution, the statistic $Z = 2$ .

Then, we clear X.

$2 = \frac{X -\mu}{\sigma}\\\\2\sigma = X - \mu\\\\\2\sigma + \mu = X\\\\$

Where:

$\sigma=0.52\\\\\mu=3.9\\\\X = 2(0.52) + 3.9\\\\X =4.94$

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3 years ago

These ordered pairs, {(2,4) (3,6) (4,8) (5,10)}, are a function. True False

ki77a [65]

Answer:

True

Step-by-step explanation:

In order for a relation (a set of ordered pairs) to be considered a function, every value in the domain (the set of all the first numbers in the pair) is associated with one value in the range (the set of all second numbers in the pair). This is easiest to see visually. Our domain is the set {2, 3, 4, 5} and our range is the set {4, 6, 8, 10}, and we can visualize the ordered pair (2, 4) as an "arrow" starting a 2 in the domain and ending at 4 in the range. When seen this way, a relation is a function if every value in the domain only has one arrow coming out of it. We can see from the attached picture that the ordered pairs in the problem are a function, so this statement is true.

8 0

4 years ago

Given a polynomial function f(x), describe the effects on the y-intercept, regions where the graph is increasing and decreasing,

masha68 [24]

Answer:

f(x) - 3 is translated 3 units down and -2*f(x) is reflected across x-axis.

Step-by-step explanation:

We have, f(x) becomes f(x) - 3.

The y-intercept of f(x) is f(0), this implies y-intercept of f(x) -3 is f(0) - 3. This means that the graph of f(x) is translated 3 units down.

Next, we have f(x) becomes -2*f(x).

The y-intercept of -2*f(x) is -2*f(0) and it means that first the graph of f(x) is stretched horizontally by 2 units and then reflected across x-axis.

As, the function f(x) is multiplied by 2, this implies that resultant function -2*f(x) will be an even function and its graph will be symmetric about y-axis.

Moreover, the function -2*f(x) increases wherever f(x) decreases and vice-versa.

7 0

3 years ago

Read 2 more answers

PLEASE ANSWER + BRAINLIEST!!!

avanturin [10]

We know that
applying the law of sines
50/sin 40=60/sin x
50*sin x=60*sin 40
sin x=[60*sin 40]/50
sin x=0.7713
x=arc sin (0.7713)----> x=50.47°--------> x=50.5°

the answer is
x=50.5 °

3 0

3 years ago