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Reil [10]
3 years ago
10

BAC ~ DEC what is the value of x?

Mathematics
1 answer:
Anna007 [38]3 years ago
5 0

Answer: x = 37.8

Step-by-step explanation: We start with triangle ABC with two sides given as 15 and 18. We shall make angle C the reference angle and thereby calculate the third side, line BC.

Since we have the opposite side as 15, and the adjacent side (which lies between the reference angle and the right angle) as 18, we can use the tangent of the angle C

Tan C = Opp/Adj

Tan C = 15/18

Tan C = 0.8333

From our table of values/use of the calculator

Tan C = 39.8

Angle C in triangle ACB = Angle C in triangle ECD (Opposite angles are equal).

That takes us to triangle ECD, since the reference angle is known (39.8) and the opposite side is also given (31.5), we can now calculate the adjacent which is side x.

Tan C = Opp/Adj

Tan 39.8 = 31.5/x

when you cross multiply, x moves to the left hand side, while Tan 39.8 moves to the right hand side

x = 31.5/Tan 39.8

x = 31.5/0.8333

<u>x = 37.8</u>

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a concession stand is selling hot dogs and hamburgers during a game. at halftime they sold a total of 78 hot dogs and hamburgers
lara31 [8.8K]
Let x=number of hamburgers sold and y=number of hot dogs sold.
Step 1)
cost of burgers X # of burgers + cost of hotdogs X # of hotdogs=$ collected               1.5x + 1.25y=105.5

step 2)
# of burgers sold + number of hot dogs sold = total number of items sold
     x + y = 78

step 3)  solve for y in the second equation
     y = 78 - x

step 4)  substitute y = 78 - x in the first equation for the value of y and solve for x
     1.5x + 1.25(78 - x)=105.50
     1.5 x + 97.5 - 1.25x=105.50
     .25x = 8
     x = 32


step 5)  plug in our value for x in the second equation and solve for y
     x+y=78
     32+y=78
     y=46

answer       32 hamburgers and 46 hot dogs
3 0
4 years ago
Apply the distribution
kicyunya [14]

Answer:

20(3m-2)

Step-by-step explanation:

In order to factor, you have to look for the greatest common factor, or what the biggest number could the two numbers be divided by.

In this case, both numbers can be divided by 20, and so we put the 20 outside of the parentheses.

This leaves with 3m and -2, which are left inside the parentheses.


Hope this helps :)


8 0
3 years ago
A sandwich decrease from $8 to $6 what is the percentage decrease
kati45 [8]

Answer:

25%

Step-by-step explanation:

First find the difference in price= $8-$6 = $2

Now, find percentage decrease in the price of sandwich.

Percentage decrease= (difference in price/ original price) *100

                                   = \frac{2}{8} *100

                                   =\frac{200}{8}

Percentage decrease=25%

                                                   

4 0
3 years ago
Luna flew from Boston to Orlando with a stop in Atlanta to switch planes. The flight from Boston to Atlanta was 3 hours and 30 m
sertanlavr [38]

Answer:

1:15 minuites

Step-by-step explanation:

30 minuites

8 0
3 years ago
Read 2 more answers
A pyramid has a surface area of 24 m^2.
Yuliya22 [10]

Answer:

The replicas will have a surface area of 3 m2, 2.4 m2 and 2 m2.

Step-by-step explanation:

You would have to multiply:

24 x 1/8 = 3

24 x 1/10 = 2.4

24 x 1/12 = 2

7 0
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