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MrRa [10]
1 year ago
14

A 13 ​-ft ladder is leaning against a house when its base starts to slide away. By the time the base is 12 ft from the​ house, t

he base is moving away at the rate of 15 ​ft/sec.
a. What is the rate of change of the height of the top of the​ ladder?
b. At what rate is the area of the triangle formed by the​ ladder, wall, and ground changing​ then?
c. At what rate is the angle between the ladder and the ground changing​ then?
Mathematics
1 answer:
VARVARA [1.3K]1 year ago
8 0
I think the answer is B because all the air other answers are incorrect
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PLEASE HELP, ASAP WILL GIVE BRAINLIEST
cupoosta [38]

Answer:

C

Step-by-step explanation:

most of the dots are along the line C

5 0
3 years ago
Questions (no partial grades if you don't show your work) 1. In a group of 6 boys and 4 girls, four children are to be selected.
mariarad [96]

Answer:

Total number of ways will be 209

Step-by-step explanation:

There are 6 boys and 4 girls in a group and 4 children are to be selected.

We have to find the number of ways that 4 children can be selected if at least one boy must be in the group of 4.

So the groups can be arranged as

(1 Boy + 3 girls), (2 Boy + 2 girls), (3 Boys + 1 girl), (4 boys)

Now we will find the combinations in which these arrangements can be done.

1 Boy and 3 girls = ^{6}C_{1}\times^{4}C_{3}=6\times4=24

2 Boy and 2 girls=^{6}C_{2}\times^{4}C_{2}=\frac{6!}{4!\times2!}\times\frac{4!}{2!\times2!}=15\times6=90

3 Boys and 1 girl = ^{6}C_{3}\times^{4}C_{1}=\frac{6!}{4!\times2!}\times\frac{4!}{3!}=\frac{6\times5\times4}{3 \times2} \times4=80

4 Boys = ^{6}C_{4}=\frac{6!}{4!\times2!} =\frac{6\times 5}{2\times1}=15

Now total number of ways = 24 + 90 + 80 + 15 = 209

7 0
3 years ago
Use the table below to fill in missing values.
aliina [53]

Step-by-step explanation:

We can observe from the table that the value of independent variable and then the values of function on that variable are given.

So,

<u>f(5) = 6</u>

As the value of function at x=5 is 6

<u>If f(x) = 4 then x = 7</u>

The value of function is 4 only on x=7 so the answer is x = 7

When the inverse is taken, the inputs become output and the outputs become inputs

f^{-1}(6) = 5

The value of inverse will be 5 because in original function 5 is input and 6 is output when this will be reversed for inverse, the output will be 5 for 6

Now,

Lastly

if\ f^{-1}(x) = 7,\ then \x = 4

The reverse rule of input and output will be used. The reverse function will generate 7 at input 4.

4 0
3 years ago
Please answer this correctly
musickatia [10]

Answer:

12.5%

Step-by-step explanation:

There is only 1 seven card from the 8 total cards.

1 out of 8.

1/8 = 0.125

P(7) = 12.5%

6 0
2 years ago
Read 2 more answers
Khan Academy math question. Just answer the picture
MrRissso [65]
Answer is 175
To start you need to work backwards from the mean so do 158*4 to give you the total of the revenue then simply minus what was given to get 175
Hope this helped
4 0
3 years ago
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