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Natalija [7]
3 years ago
9

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

h

=

20

sin

(

90

∘

−

18

∘

)

=

20

cos

18

∘

=

20

(

√

10

+

2

√

5

4

)

=

5

√

10

+

2

√

5

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Write (3 ten thousands 4 hundreds) x10
umka2103 [35]
30400x10 that's the answer
7 0
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

7 0
3 years ago
These ordered pairs, {(2,4) (3,6) (4,8) (5,10)}, are a function.<br><br> True<br><br> False
ki77a [65]

Answer:

True

Step-by-step explanation:

In order for a relation (a set of ordered pairs) to be considered a <em>function</em>, every value in the <em>domain</em> (the set of all the first numbers in the pair) is associated with one value in the <em>range</em> (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 <em>every value in the domain only has one arrow coming out of it</em>. 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
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