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olga_2 [115]
3 years ago
9

Use Special Triangle Shortcuts to find the values of x and y in the first figure. Explain how you determined the length of segme

nts x and y using 2-3 sentences or explain your steps used to find the values.

Mathematics
1 answer:
ivann1987 [24]3 years ago
7 0

Answer:

Solution given:

short cut to find x

Tan 30°=P/B

Tan30°=x/22√3

x=tan 30×22√3

x=22

and

for y

cos 30=B/H

cos30×y=22√3

y=22√3/cos30

y=44

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a hotel with 75 rooms has 45 for doubles and 30 singles. singles can be booked in any room, but reservations for two or more peo
Hatshy [7]

Answer:

y = 75 - x

Step-by-step explanation:

From the question, we are given variables, and then we can see that

when x = 75 then y = 0

when x = 30 then y = 45

Finding the difference, we have

slope(m) = (45 - 0) / (30 - 75)

slope(m) = 45 / -45

slope(m) = -1

Next, we use the calculated m, to find b, using the formula

y = mx + b

0 = -1 * 75 + b

0 = -75 + b

b = 75

And finally, to get the needed equation, we say that

so y = mX+c

So that

y = -1 * x + 75

y = -x + 75

or y = 75 - x

6 0
2 years ago
Line parallel to y=1/2x-5
Sveta_85 [38]

Answer:

1/2

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
A local tree farm is donating 50 trees. The students will plant some of the trees at the school and the rest at the library.
Alex17521 [72]

Answer:

6

Step-by-step explanation:

First you know they have <em>50 </em>trees. Then, you know <em>3</em> of <u>25</u> will die.

<u>25</u>*<u>2</u>=<em>50</em>. <em>3</em>*<u>2</u>=6.

8 0
2 years ago
At the county fair, Darius can purchase 3 candy apples and 4 bags of peanuts for $11.33. He can purchase 9 candy apples and 5 ba
Ksenya-84 [330]
Let c represents the cost of a candy apple and b represents the cost of a bag of peanuts.

Darius can purchase 3 candy apples and 4 bags of peanuts. So his total cost would be 3c + 4b. Darius can buy 3 candy apples and 4 bags of peanuts in $11.33,so we can write the equation as: 

3c + 4b = 11.33   (1)

Darius can purchase 9 candy apples and 5 bags of peanuts. So his total cost would be 9c + 5b. Darius can buy 9 candy apples and 5 bags of peanuts in $23.56,so we can write the equation as: 

9c + 5b = 23.56   (2)

<span>Darius decides to purchase 2 candy apples and 3 bags of peanuts. The total cost in this case will be 2c + 3b. To find this first we need to find the cost of each candy apple and bag of peanuts by solving the above two equations.

Multiplying equation 1 by three and subtracting equation 2 from it, we get:

3(3c + 4b) - (9c + 5b) = 3(11.33) - 23.56

9c + 12b - 9c - 5b = 10.43

7b = 10.43

b = $1.49

Using the value of b in equation 1, we get:

3c + 4(1.49) = 11.33

3c = 5.37

c = $ 1.79

Thus, cost of one candy apple is $1.79 and cost of one bag of peanuts is $1.49.

So, 2c + 3b = 2(1.79) + 3(1.49) = $ 8.05

Therefore, Darius can buy 2 candy apples and 3 bags of peanuts in $8.05</span>
3 0
3 years ago
There are 15 male teachers in the school. There are 35 female teachers in the school. <br><br>​
Alex777 [14]

Answer:

the ratio of make to female teachers is 3:7

4 0
2 years ago
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