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Bas_tet [7]
3 years ago
14

The top of a ladder rests at a height of 15 feet against the side of a house. If the base of the ladder is 6 feet from the house

, what is the length of the ladder? Round to the nearest foot.
Mathematics
1 answer:
Advocard [28]3 years ago
4 0

Answer:

The length of the ladder is 16\ ft

Step-by-step explanation:

Let

L ----> the length of the ladder

we know that

Applying the Pythagoras theorem

L^{2}=15^{2} +6^{2}

L^{2}=261

L=\sqrt{261}\ ft

L=16\ ft

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If the radius of a circle is 10 feet, how long is the arc subtended by an angle measuring 81°?
gavmur [86]
If the angle is mesure in RADIANS then the arc is given by r. So first convert 81 degrees to radians, then multiply by r which is 10 x 81=810
4 0
3 years ago
Analyze the diagram below and complete the instructions that follow.
Trava [24]

Law of Cosines says


b^2 = a^2 + c^2 - 2 ac \cos B


2 a c \cos B = a^2 + c^2 - b^2


\cos B = \dfrac{a^2 + c^2 - b^2}{2 a c}


\cos B = \dfrac{16^2 + 16^2 - 11^2}{2(16)(16)} = \dfrac{ 391}{512}


B = \arccos  \dfrac{ 391}{512} \approx 40.2 ^\circ


Choice C


5 0
3 years ago
SIMPLE! 30 POINTS AND I WILL GIVE BRAINLIEST
Serhud [2]
SOLUTION:

To begin with, let's establish the problem as the following:

5 + 7

An effective method to solve this problem would be to convert it into a visual representation in order to obtain a better understanding.

As attached in the diagram above, I have demonstrated the problem visually. The five red circles / dots represent the five in the problem whilst the 7 circles / dots represent the 7 in the problem. Now we must simply count each of the circles / dots to obtain the total number which would be our final answer.

We can also simply use our fingers on our hands to solve the problem by counting 5 on our fingers and then adding 7 or vice versa to obtain the final answer.

FINAL ANSWER:

Hence, through either of these two methods, we obtain the final answer to the problem as follows:

5 + 7 = 12

Hope this helps! :)
Have a lovely day! <3

4 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=%5Ccolor%7Bred%7D%7B%5Ctt%20%7BIn%20%5C%3A%20%20%CE%94%20%5C%3A%20%20ABC%2C%20%E2%88%A0B%3D90%
makkiz [27]

Use Pythagoras theorem

Hypotenuse²=Base²+ Height ²

H²=(8)²+(6)²

H²=64+36

H²= 910

H²=10√91 cm Solution

5 0
3 years ago
Read 2 more answers
Please HELP ASAP!!! The dot plot show the number of hours teenagers spent on two different websites last week. Which statement i
Delvig [45]

Answer:

(F.) the mode of the data for website K is greater than the mode of the data from website L

Step-by-step explanation:

Mode simply means the parameter that occurs the most.

In website K, the one that occurs the most is 8 hours while in website L, the one that occurs the most is 2 hours.

This means that mode of website K is greater than that of website L.

Thus,statement F is correct

Range is the difference between the highest value and the lowest value..

For website K, Range = 14 - 1 = 13

For website L, Range = 13 - 1 = 12

Thus,range of both websites are not the same and as such statement G is wrong.

For a symmetrical distribution, the left and right hand sides of the centre value line of the distribution have to mirror each other.

In this case neither website K nor L have that. Thus, statement H is not correct.

Skewed to the left means that more o

dot points are found to the left of the graph.

For website L, more dot points are located to the left while for website K, it's not the case. Thus, statement J is not correct

8 0
3 years ago
Read 2 more answers
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