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dangina [55]
3 years ago
7

8. analyze the diagram below and complete the instructions that follow

Mathematics
1 answer:
34kurt3 years ago
8 0

Answer:

C. 3/5

Step-by-step explanation:

Sin of any angle is = perpendicular/ hypotenuse

In any right angle triangle, with side a and b containing right angles and h having hypotenuse, using Pythagoras theorem

h^2 = a^2 + b^2

___________________________________________

In triangle NOM

ON = 4,

NM = 3

lets find OM

using Pythagoras theorem

OM^2 = ON^2 + NM^2\\=> OM^2 = 4^2 + 3^2\\=>OM^2 =16 + 9 = 25\\=> \sqrt{OM^2}  = \sqrt{25} \\=> OM = 5

Thus, OM = 5

sin angle NOM = perpendicular/ hypotenuse = NM/OM = 3/5

sin angle NOM = 3/5

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Sanjay had a case of 24 bottles of water. In the first week Sanjay drank 3/8 of the bottles of water. In the second week Sanjay
Gnom [1K]

Answer:

The answer to your question is: 5 bottles

Step-by-step explanation:

Process

First week

Divide 24 by 8

                        24/8 = 3 bottles = 1/8

                        but Sanjay drank 3/8 = 9 bottles

And there are 24 - 9 bottles left = 15

- Second week

Divide 15 by 3

                       15/3 = 5 then 5 bottles = 1/3

                       but sanjay drank 2/3 = 10 bottles

Then, there are 15 - 10 bottles left  = 5

                         

8 0
3 years ago
fred is playing tennis fo every 2 of his serves that land in 4 serves land out if he hit 26 serves in how many serves landed out
ki77a [65]

Answer:

52 serves landed out

Explanation:

If you divide the number of serves in by 2 ( number that he lands in for every 6 serves) and then multiply by 4 ( number that land out for every 6 serves), you get 52 serves out.

3 0
3 years ago
I need help on this, will someone try and help me out? PLEASE
sattari [20]
Step 1.) Multiply both sides of the equation by -6

step 2.) Sum the equations vertically to eliminate at least one variable

step 3.) Divide both sides of the equation by

step 4.) Substitute the given value of into the equation x - 2y = 10

step 5.) Solve the equation for x

step 6.) The possible solution of the system is the ordered pair (x , y)

step 7.) Check if the given ordered pair is the solution of the system of equations

step 8.) Simplify the equalities

step 9.) Since all of the equalities are true, the ordered pair is the solution of the system


So your answer would end up being (40/13 , -45/13) !! Hope that helps you out :D !!
7 0
2 years ago
Read 2 more answers
Solve the system of equations using the substitution method.
Karolina [17]
Substitution is where we first Isolate one of the unknowns, express it in terms of the other unknown, and replace the isolated unknown with the other unknown in another equation. So that each time we only need to deal with one unknown. I think you'll get a better idea here:

First name these 2 equations with 1 and 2.
4x + 5y = 7 (1)
y = 3x + 9 (2)

Since y is already isolated in (2), so we can skip the isolation step and continue to substitute.

Substitute (2) into (1).
4x + 5(3x+9) = 7

Expand.
4x + 15x + 45 = 7

Group.
19x + 45 = 7

Shift +45 to the other side and turn it into -45.

19x = 7 - 45
19x = -38

Shift x19 to the other side, turn it into /19.
X = - 38/19
X = - 2

Now we solved x already, we can just substitute x= - 2 back to equation (2).

y = 3(-2) + 9
y = - 6 + 9
y = 3

So, the answers are
x = - 2
y = 3
3 0
2 years ago
Why the great awakening was important to people?
katrin2010 [14]
Well is this like history 

4 0
3 years ago
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