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masha68 [24]
3 years ago
13

A ladder leaning against a house makes an angel of 74° with the ground. The foot of the ladder is 7 feet from the foot

Mathematics
2 answers:
tresset_1 [31]3 years ago
8 0

Answer:

Step-by-step explanation:

\frac{7}{l} =cos 74\\l=\frac{7}{cos 74} =7 sec74=7 sec(90-16)=7cos 16 \approx 6.73 ft

Nezavi [6.7K]3 years ago
6 0
6.5 * tan74 = 22.67 feet
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A business rents cars for $100 a day and vans for $200 a day. One day, it rented a total of 22 vehicles
ra1l [238]

Answer:

Vans - 7

Cars - 15

Step-by-step explanation:

$200 * 7 = $1400

$100 * 15 = $1500

$1400 + $1500 = $2900

8 0
2 years ago
find three consecutive odd integers such that the sum of the smallest number and middle number is 27 less than 3 times the large
katrin2010 [14]

A generic odd number can be written as

2k+1,\quad k \in \mathbb{Z}

Since there is an odd number every two numbers, three consecutive odd numbers will be

2k+1,\quad 2k+3,\quad 2k+5

Now let's make up the equations: the sum of the first two is

(2k+1)+(2k+3)

And 27 less than 3 times the largest is

3(2k+5)-27

These two must be the same, so we have

(2k+1)+(2k+3)=3(2k+5)-27 \iff 4k+4 = 6k+30-27 \iff 4k+4=6k+3

Subtracting 4k and 3 from both sides gives

1=2k \iff k=\dfrac{1}{2}

Which means that the problem has no solution.

To confirm this hypothesis, we can observe that, on the left hand side, we have the sum of two odd numbers, which is even

On the right hand side, we have an odd number, multiplied by 3 (still odd), take away 27 (still odd).

So, the left hand side is even, and the right hand side is odd. They can't be the same number.

7 0
4 years ago
Solve the following equation <br> T/4 +7 =2.
Sindrei [870]

Answer:

T=-20

Step-by-step explanation:

first get rid of the 7

1. T/4=-5

then multiply by 4 to isolate T

2. T=-20

4 0
3 years ago
Read 2 more answers
Kyle asked a random group of students what their favorite sport was. The results are below. Boys Girls Basketball 10 8 Football
Ronch [10]

Answer:

The probability that Kyle will pick a girl who likes football is 12.5%.

Step-by-step explanation:

The data provided is as follows:

                         Boys        Girls       Total

Basketball          10             8             18

 Football           25             7             32

  Soccer             9             19             28

 Baseball           18            22            40

   Total               62           56            118

Compute the probability that Kyle will pick a girl who likes football as follows:

P(F|G)=\frac{n(G\cap F)}{n(G)}

            =\frac{7}{56}\\\\=0.125\\\\=12.5\%

Thus, the probability that Kyle will pick a girl who likes football is 12.5%.

6 0
3 years ago
1.3<br> Are there rectangles with the same perimeter? Explain your answer.
ira [324]
Yes because they have the same number of sides
3 0
3 years ago
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