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olga55 [171]
2 years ago
11

Work out 5/9 of 100. Give your answer correct to the nearest whole number.

Mathematics
1 answer:
aksik [14]2 years ago
8 0

Answer:

56

Step-by-step explanation:

5/9*100=500/9=55.55...

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Rewrite the expression in the form 9^n
gulaghasi [49]

Answer:

9^-3/9^12

Step-by-step explanation:

8 0
2 years ago
If tan theta = 12/5 and cos theta < 0, what is sin theta ?
Talja [164]
1 + tan ² Ф=sec²Ф
1+(12/5)²=sec²Ф
169/25=sec² Ф
sec Ф=⁺₋√(169/25)=⁺₋13/5

sec Ф=1/cos Ф ⇒cosФ=1/sec Ф
 cos Ф>0   ⇔  sec Ф>0  ⇔  sec Ф=+ 13/5

cos Ф=1/secФ
cos Ф=1 / 13/5=5/13

we can calculate the sin Ф, with this method.
sin²Ф + cos²Ф=1  ⇒ sin Ф=⁺₋√(1-cos² Ф)
sin Ф=⁺₋√[1-(5/13)²]=⁺₋12/13
like cos Ф>0 and tan Ф>0   ⇒ sin Ф>0 ⇒sin Ф=12/13

answer: d.12/13

other method
tan Ф=sin Ф / cos Ф
12/5=sin Ф / 5/13
sin Ф=(12/5)*(5/13)=12/13

answer: d.12/13

8 0
3 years ago
Can someone please help
jekas [21]

For slope, people sometimes use the description 'rise divided by run'. We know that the y axis describes rise, and the x axis describes run. So rise divided by run written numerically is \frac{y}{x}. Now let's look at the line above. We can see that every time the y value goes up one unit, the x value goes right two units. This means that [tex]\frac{y}{x} --> \frac{y + 1}{x + 2}

This can be rewritten as 1/2, so the is 1/2. Hope this helped.

3 0
3 years ago
find the solution to the system. write your solution as an ordered pair (x,y) with no spaces, no solution or infinitely many 2x-
Kitty [74]

Answer:

(-8,4)

Step-by-step explanation:

Given: 2x-3y=-28 and x+6y=16

solve for a variable and then substitute back into other equation

x + 6y = 16

x = 16 - 6y; now use this in the other equation

2x - 3y = -28; substitute into x

2(16 - 6y) - 3y = -28; distribute 2

32 - 12y - 3y = -28; combine y's

32 - 15y = -28; isolate 15y

32 + 28 = 15y; add the numbers

60 = 15y; divide by 15

y = 4

Now use this to plug into other equation

x + 6y = 16; y=4

x + 6(4) = 16;

x + 24 = 16; subtract 24 from both sides

x = -8

4 0
3 years ago
a rectangle is 5 inches long and 2x inches wide. The value of the perimeter is 22 inches what is the value of x?
Alekssandra [29.7K]

Answer: x =3

Step-by-step explanation:

2× 3 = 6

length= 5 inches

width= 2×3= 6 inches

2(l+w) = 2(5+6)

2(11)

2×11= 22

hope this helps:-)

4 0
3 years ago
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