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kondaur [170]
3 years ago
9

In ΔJKL, the measure of ∠L=90°, JL = 24, LK = 7, and KJ = 25. What is the value of the sine of ∠K to the nearest hundredth?

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

Hi the picture has the answer and work, if you have any questions feel free to ask!!

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1 5/6 −(x− 7/12 )+2 1/12 =0.9
iren [92.7K]
The answer is x=3.6 or 3 3/5.

First we convert the decimal answer to a fraction; 0.9 is read as "nine tenths," so the corresponding fraction is 9/10:

1 5/6 - (x - 7/12) + 2 1/12 = 9/10

Now we find a common denominator.  The first thing that 6, 12 and 10 will all divide into is 60:

1 50/60 - (x - 35/60) + 2 5/60 = 54/60

Distributing the negative, we have:
1 50/60 - x + 35/60 + 2 5/60 = 54/60

Combining like terms, we have:
-x + 4 30/60 = 54/60

Subtracting 4 30/60 from each side, we have:
-x + 4 30/60 - 4 30/60 = 54/60 - 4 30/60
-x = -3 36/60

Divide both sides by -1:
-x/-1 = (-3 36/60)/-1
x = 3 36/60 = 3 3/5 = 3.6
5 0
4 years ago
The Baker Family spent $28 on 5 tickets.
White raven [17]

Answer:

I cannot not give the correct solution, need more context. How many children are there, how many adults are in the family? So I will explain in my explanation.

Step-by-step explanation:

If more context were given, for example:<em> 2 adults and 2 children.</em>

Then the bakers would have bought 2 adult tickets for ___ each

Then the bakers would have bought 3 children's tickets for ___ each

So using what we know we can create an equation:

<em>2A+3C=28</em>,<em> </em>

meaning 2 adult tickets plus 3 children's tickets costs a total of $28.

So we divide 28 by 5, which is the total amount of tickets.

28/5=5.6

So to figure the cost of children's tickets multiply the cost by amount.

3*$5.6=$16.8, C=16.8

To figure out the cost of the adults tickets multiple the cost by the amount.

2*$5.6=$11.2, A=11.2

a) the bakers would have bought <u>2</u> adult tickets for <u>5.6</u> each.

b) the bakers would have bought <u>3</u> children's tickets for <u>5.6</u> each.

8 0
4 years ago
What is the side length of a cube that has a total surface area of 96 square centimeters?
Setler79 [48]
96/4. You should get the answer by dividing 96 by 4.
8 0
3 years ago
Read 2 more answers
Ben made a model (shown below) of the square pyramid he plans to build when he grows up.
elena-s [515]

Answer:

336 m^2

Step-by-step explanation:

The surface area of a square pyramid is the sum of the area of the squared base + 4 times the area of each triangular face, therefore:

A=A_b + 4A_t

where:

A_b=L^2 is the area of the base, where

L is the length of the base

A_t=\frac{1}{2}Lh is the area of each triangular face, where

h is the height of the face

Substituting,

A=L^2+2Lh

For the model in this problem,

L = 12

h = 8

Therefore, the surface area here is:

A=12^2 +2(12)(8)=336

4 0
3 years ago
Read 2 more answers
How to solve linear equations with inverse operations in each step
PilotLPTM [1.2K]
Number one would be 13 because you have to add the x to both sides which will leave you with 2x=26 then you have to divide by 2 and you will get x=13. Number two is 7 7/8 because you have to add the 1/3x to the other 1/3x to get 2/3x= 5 1/4 so then you divide both sides by 2/3 and to divide a fraction you do keep change flip so it would be 21/4 times 3/2 which would be 63/8 which simplifys to 7 7/8.
6 0
3 years ago
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