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ira [324]
4 years ago
13

A 12-foot ladder rests against the side of a house. The base of the ladder is 3 feet away from the side of the house. How high a

bove the ground is the top of the ladder?
Mathematics
1 answer:
Triss [41]4 years ago
4 0

Answer:

3.root 15 feet

Step-by-step explanation:

To solve this problem, we will use Pythagorean’s theorem. Now let’s visualize a right angled triangle in which the hypotenuse stands for the total ladder length and the base of the ladder standing away from the wall is say the adjacent.

The length of the ladder is the opposite which is the last side of the complete triangle.

Hence, to find this side we use s^2 = 12^2 - 3^2

S^2 = 144 -9

S^2 = 135

S= square root of 135 = 3.root15 feet

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Suppose you are climbing a hill whose shape is given by the equation z = 1300 − 0.005x2 − 0.01y2, where x, y, and z are measured
Varvara68 [4.7K]

Answer:

  ascend

Step-by-step explanation:

There are a couple of ways to figure this. One is to look at the partial derivative ...

  \dfrac{\partial z}{\partial y}=-0.02y

The sign of it is negative, so when y decreases, z increases. Going south means decreasing the y-coordinate, so moving in that direction will cause you to ascend.

__

Another way to figure this is to evaluate z for some small movement in the southerly direction. In the attached, we find that moving 1 m south to (120, 79, 1165.59) causes an elevation increase of about 1.6 m. Walking south causes you to ascend.

Note that this is consistent with our first result, as -0.02y = -0.02(80) = -1.6. So a change in y of -1 should cause a change in z of about (-1.6)(-1) = 1.6.

6 0
4 years ago
Pls answer asp!!!! Pls
kicyunya [14]

Answer:

C I think

Step-by-step explanation:

hope it's correct

7 0
3 years ago
Read 2 more answers
What is the value of this expression if h = 8,3 = -1, and k = –12?
snow_tiger [21]

Answer: C.36

Step-by-step explanation:

3 0
3 years ago
When finding the equation of a linear function in a table how do I find y when x is 0?
sesenic [268]
U need to find the equation of the line....and once u do that, sub in 0 for x and solve for y
3 0
3 years ago
Step by step please and thank you.
cupoosta [38]

Answer:

  the probability is 2/9

Step-by-step explanation:

Assuming the coins are randomly selected, the probability of pulling a dime first is the number of dimes (4) divided by the total number of coins (10).

  p(dime first) = 4/10 = 2/5

Then, having drawn a dime, there are 9 coins left, of which 5 are nickels. The probability of randomly choosing a nickel is 5/9.

The joint probability of these two events occurring sequentially is the product of their probabilities:

  p(dime then nickel) = (2/5)×(5/9) = 2/9

_____

<em>Alternate solution</em>

You can go at this another way. You can list all the pairs of coins that can be drawn. There are 90 of them: 10 first coins and, for each of those, 9 coins that can be chosen second. Of these 90 possibilities, there are 4 dimes that can be chosen first, and 5 nickels that can be chosen second, for a total of 20 possible dime-nickel choices out of the 90 total possible outcomes.

  p(dime/nickel) = 20/90 = 2/9

8 0
3 years ago
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