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guapka [62]
2 years ago
14

An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 31 feet up. The

ladder makes an angle of 78
with the ground. Find the length of the ladder. Round your answer to the nearest tenth of a foot if necessary.
Mathematics
1 answer:
nydimaria [60]2 years ago
7 0

Answer:

30.7 ft ladder length

Step-by-step explanation:

The ladder makes the hypotenuse of a right triangle

 31 feet   is the opposite leg of 78 degree angle

   sin 78 = opposite / hypotenuse

   sin 78 = 30/ hypot

      30 / (sin 78 ) = hypotenuse = 30.7 ft

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Find the x and y intercepts 5y + 3x = 15
Tomtit [17]
First, find the x-intercept.

The x-intercept will be at the point (x, 0) where x is any real number. If we substitute the x-coordinate and the y-coordinate for the x and y variables in the equation, we can solve for x.

5y + 3x = 15
5(0) + 3x = 15
3x + 15
x = 5

We found the x-intercept now find the y-intercept with the same process.

The y-intercept will be at the point (0, y) where y is any real number.

5y + 3x = 15
5y + 3(0) = 15
5y = 15
y = 3

So, the x-intercept is (5, 0) and the y-intercept is (0, 3)
8 0
3 years ago
1. A square pizza box has an area of 155 cm^2. Which is the best estimate of the side length of the pizza box?
natulia [17]

Answer:

its D

Step-by-step explanation:

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7 0
3 years ago
Read 2 more answers
Find an odd number with 3 digits such that all the digits are different and add up to 15. The difference between the first two d
Serjik [45]

Answer:

The three digit number = 951

Step-by-step explanation:

Let suppose the numbers are:

= abc

According to given condition:

a+ b + c = 15  -------------eq1

Also, given the difference between the first two digit = the difference between the last two digits:  

==> l a-b l = l b-cl  

==> (a-b) = (b-c)  

==> (a+c) = 2b

Now we will substitue in eq1

==> a+ b + c = 15

==> 2b + b = 15

==> 3b = 15

Dividing both sides by 3 we get:

b =5

a + c = 2b

a+ c = 10

a = 10 -c ..........(2)

We know that"  

(a-b) = (b-c)

==> a > b+c

==> a > 5 + c

==> 10 -c > 5 +c  

==>5 > 2c

==> 2.5 > c

As c is an odd number so c will be equal to 1

c = 1

a = 10 -1

a = 9

The three digit number = 951

The hundred digit is greater than the sum of the tens and ones digits

i hope it will help you!

6 0
3 years ago
Mary drove 303 miles in 15 gallons of gas at this rate how many miles would she drive using 16 gallons of gas
Rainbow [258]
324 because if you do 303/15 it’s 20.2 then you add that to 303 which is 323.2 but you can’t have .2 of a gallon so it’s 324
4 0
3 years ago
Use the formula to evaluate the series 1/4 + 1/9 + 1/27 + 1/81.
Dmitriy789 [7]
Is the first term supposed to be 1/4, or did you actually mean 1/3?

I'll assume the latter. Write

S=\dfrac13+\dfrac19+\dfrac1{27}+\dfrac1{81}
S=\dfrac13+\dfrac1{3^2}+\dfrac1{3^3}+\dfrac1{3^4}
\dfrac13S=\dfrac1{3^2}+\dfrac1{3^3}+\dfrac1{3^4}+\dfrac1{3^5}
\implies S-\dfrac13S=\dfrac13-\dfrac1{3^5}
\dfrac23S=\dfrac13\left(1-\dfrac1{3^4}\right)
S=\dfrac12\left(1-\dfrac1{81}\right)
S=\dfrac{40}{81}
8 0
3 years ago
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