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soldi70 [24.7K]
3 years ago
10

A 25-ft ladder and then you can get inside of a house the bottom of the ladder is 8 ft away from the bottom of the house what is

the measure of the angle formed by the bottom of the ladder and the ground round to the nearest degree
Mathematics
1 answer:
seropon [69]3 years ago
4 0

Answer:

71.33 degree

Step-by-step explanation:

The angle between the bottom of the ladder and the ground is given by

cos\alpha = \frac{B}{L}

Where

B = distance between wall of house and the foot of ladder

L = Length of the ladder

Substituting the given values we get -

Cos \alpha = \frac{8}{25}\\Cos \alpha = 0.32\\\alpha = Cos^{-1}(0.32)\\\alpha = 71.33

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Use the net to compute the surface area of the three-dimensional figure.
Grace [21]

9514 1404 393

Answer:

  382 square units

Step-by-step explanation:

The central four rectangles down the middle of the net are 9 units wide, and alternate between 8 and 7 units high. Then the area of those four rectangles is ...

  9(8+7+8+7) = 270 . . . square units

The rectangles making up the two left and right "wings" of the net are 8 units high and 7 units wide, so have a total area of ...

  2×(8)(7) = 112 . . . square units

Then the area of the figure computed from the net is ...

  270 +112 = 382 . . . square units

__

<em>Additional comment</em>

You can reject the first two answer choices immediately, because they are odd. Each face will have an area that is the product of integers, so will be an integer. There are two faces of each size, so <em>the total area of this figure must be an even number</em>.

You may recognize that the dimensions are 8, 8+1, 8-1. Then the area is roughly that of a cube with dimensions of 8: 6×8² = 384. If you use these values (8, 8+1, 8-1) in the area formula, you find the area is actually 384-2 = 382. That area formula is A = 2(LW +H(L+W)).

3 0
3 years ago
Write:<br> 3^-4 in standard form
pav-90 [236]

Answer:

\frac{1}{81}

Step-by-step explanation:

<u>Key skills: Exponents + Fractions</u>

Use the negative exponent property. If your number is x^-y then it would be the same as 1/x^y

3^-4 is the same as \frac{1}{3^{4}}

3^4 is 81, so your answer would be 1/81.

Hope you have a nice day and understood this!

4 0
3 years ago
Which measure is of an angle that is coterminal with a 425° angle? 425° – (1,000n)°, for any integer n 425° – (840n)°, for any i
Natalka [10]

The angle that is coterminal to 425° is the last one:

B = 425° + n*1,440°

<h3>Which measure is of an angle that is coterminal with a 425° angle?</h3>

By definition, for any angle A, we can say that an angle B is coterminal to A if:

B = A + n*360°

where n can be any integer.

So, from the given options, we need to see which one is a multiple of 360°.

Of the given options, the only that meets this condition is the last one:

B = 425° + n*1,440°

Where:

1,440°/360° = 4

Then we conclude that:

425° + n*1,440° is coterminal to 425°.

If you want to learn more about coterminal angles:

brainly.com/question/3286526

#SPJ4

3 0
2 years ago
Read 2 more answers
Find the slope of the line that goes through (5,-8) and (-2,2)
saveliy_v [14]

Answer:

-1.42857

Step-by-step explanation:

3 0
2 years ago
Estimate the solution to the equation 3.1g = 20.9 to the nearest whole number. about 7 about 8 about 10 about 5
lubasha [3.4K]
Divide both sides by 3.1 and find g = 20.9/3.1 ≈ 6.7 ≈ 7.
You can estimate this without a calculator by saying 20.9 ≈ 21 and 3.1≈3, then 21/3=7.

In general, be careful with rounding before a calculation, because the rounding errors can be enlarged, messing up the accuracy of your answer. It's best to round only at the end.
8 0
3 years ago
Read 2 more answers
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