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Alecsey [184]
3 years ago
6

A fire truck has a ladder that can extend to 120 ft in length. The ladder can be safely raised to the maximum angle of 75 with t

he horizontal. Disregarding the height of the fire truck itself which is the closest to the maximum height the ladder can safely reach
​

Mathematics
1 answer:
marta [7]3 years ago
3 0

Answer:

the ladder is 60 feet and the angle is 75 degrees     guess and check         sin75=x/60    

0.9659258263=x/60

57.9555=x

57.96=x

so B

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Gwar [14]
-3x + 9 - 4 = x + 3 + 2x
-3x + 9 - 4 = 3x + 3
9 - 4 = 6x + 3
5 = 6x + 3
2 = 6x
1/3 = x
6 0
3 years ago
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A pet store sold 36 Siamese cats. If the ratio of Siamese cats to house
White raven [17]

To determine the combined amount of cats sold: is equal to 117 cats

  • Let the number of Siamese cats sold be S.
  • Let the number of House cats sold be H.
  • Let the combined amount of cats sold be C.

<u>Given the following data:</u>

  • Number of Siamese cats sold = 36
  • Ratio of S to H = 4:9
  • Total ratio = 4 + 9 = 13

To determine the combined amount of cats sold:

The ratio of Siamese cats sold is given by:

\frac{4}{13} \times C=36\\\\4C=36\times 13\\\\4C =468\\\\C=\frac{468}{4}

C = 117 cats

Read more: brainly.com/question/12230509

8 0
3 years ago
Write an equation of the line that passes through the point (6,-2) and is perpendicular to the line 6x+y=2
Scilla [17]

Answer:

y=2x-14

Step-by-step explanation:

Gradient as m(for 1st line m1 and m2 for 2nd line)

m1/m2=-1

m1=(-1)*(-2)=2

y-(-2)/x-6=2

y+2/x-6=2

y+2=2x-12

y=2x-14

8 0
3 years ago
A lottery game has balls numbered 1 through 21. What is the probability of selecting an even numbered ball or an 8? Round to nea
Viktor [21]

Answer: 0.476

Step-by-step explanation:

Let A = Event of choosing an even number ball.

B = Event of choosing an 8 .

Given, A lottery game has balls numbered 1 through 21.

Sample space: S= {1,2,3,4,5,6,7,8,...., 21}

n(S) = 21

Then, A= {2,4,6,8, 10,...(20)}

i.e. n(A)= 10

B= {8}

n(B) = 1

A∪B = {2,4,6,8, 10,...(20)} = A

n(A∪B)=10

Now, the probability of selecting an even numbered ball or an 8 is

P(A\cup B)=\dfrac{n(A\cup B)}{n(S)}

=\dfrac{10}{21}\approx0.476

Hence, the required probability =0.476

7 0
3 years ago
Why does it help to rearrange
hichkok12 [17]

Answer:

You don't really need to do it, but it helps you keep things more organized and easier to follow. Imagine if you're doing some multi-variable equation,

2a + 5b + 4d + 3c + b + a + 2d

that looks like a mess, it'll be easier to look at if you put all the similar variables next to each others like this:

a + 2a + b + 5b + 3c + 2d + 4d

(a + 2a) + (b + 5b) + 3c + (2d + 4d)

now you can add them up much easier.

8 0
3 years ago
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