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padilas [110]
3 years ago
13

Estimate the length of this book to the nearest centimeter. ruler with book

Mathematics
1 answer:
Mamont248 [21]3 years ago
5 0
The correct answer is D.

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An ant looks up to the top of a building at an angle of elevation of 32°. Then, the ant walks an additional 88 feet from the edg
Naddik [55]
Tanα=h/x, tanß=h/(x+88)

solving both for x

x=h/tanα, x=h/tanß-88, since x=x

h/tanα=h/tanß-88

h/tanß-h/tanα=88

(htanα-htanß)/(tanα*tanß)=88

h(tanα-tanß)/(tanα*tanß)=88

h=88(tanα*tanß)/(tanα-tanß)

Since α=32 and ß=22...

h=88(tan32*tan22)/(tan32-tan22)

h≈85.3 feet


8 0
3 years ago
4x-8y=24 find the y intercept and x intercept
gulaghasi [49]
4is thex the yintercept is -8
4 0
3 years ago
If limx→3f(x)=7, which of the following must be true? I. f is continuous at x = 3 II. f is differentiable at x = 3
Viktor [21]

Without knowing anything else about f(x), neither of these need be true.

Suppose

f(x)=|x-3|+7=\begin{cases}10-x&\text{for }x3\\0&\text{for }x=3\end{cases}

Then (I) isn't true because, while the limit exists as x\to3 and is equal to 7, we have f(3)=0\neq7, so f(x) is not continuous there.

(II) also true because f(x) is not differentiable at x=3; that is,

\displaystyle\lim_{x\to3^-}f'(x)=\lim_{x\to3}(10-x)'=\lim_{x\to3}(-1)=-1

but

\displaystyle\lim_{x\to3^+}f'(x)=\lim_{x\to3}(x+4)'=\lim_{x\to3}1=1

which means the derivative does not exist at x=3.

3 0
3 years ago
What is the area of 4 1/5 and 1 4/9 as a mixed number.
marusya05 [52]

Answer:

10 1/9

Step-by-step explanation:

To make it easier to answer, make both of them into an improper fraction

4 1/5 = 21/3

1 4/9 = 13/9

Now we can multiply them easier

21/3 x 13/9 = 273/27

27 goes into 273 10 times and the left over is 3 so the mixed fraction would be

10 3/27, to simplify

10 1/9

5 0
3 years ago
These questions kinda hard help
amm1812

Answer:

Step-by-step explanation:

Remark

All of the given listed figures have the property of 4 sides and 4 angles. There is also some relationship between the angles or pairs of angles. Only the square follows the same path. The others cannot be chosen because the sides differ and the angle properties are quite different.

Answer: <u>Square</u>

6 0
2 years ago
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