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inessss [21]
2 years ago
9

24.75 = 2.25(y-10.2)

Mathematics
1 answer:
BartSMP [9]2 years ago
4 0
24.75= 2.25y - 22.95
+22.95 +22.95
47.7 = 2.25y (division here)
2.25 2.25
Y=21.2
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A cinema has 100 seats if 90 people are inside what percentage of seats are taken
weqwewe [10]

Answer:

90%

Step-by-step explanation:

Since 90/100 seats are taken then we can say;

90/100=9/10=.90*100=90%

6 0
3 years ago
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So I'm in an online class of geometry and one of the units is trig. but no matter how long i keep learning or trying to learn th
Arturiano [62]

Answer and explanation:

There are six main trigonometric ratios, namely: sine, cosine, tangent, cosecant, secant, cotangent.

Those ratios relate two sides of a right triangle and one angle.

Assume the following features and measures of a right triangle ABC

  • right angle: B, measure β
  • hypotenuse (opposite to angle B): length b

  • angle C: measure γ
  • vertical leg (opposite to angle C): length c

  • horizontal leg (opposite to angle A): length a
  • angle A: measure α

Then, the trigonometric ratios are:

  • sine (α) = opposite leg / hypotenuse = a / b
  • cosine (α) = adjacent leg / hypotenuse = c / b
  • tangent (α) = opposite leg / adjacent leg = a / c

  • cosecant (α) = 1 / sine (α) = b / a
  • secant (α) = 1 / cosine (α) = b / c
  • cotangent (α) = 1 / tangent (α) = c / b

Then, if you know one angle (other than the right one) of a right triangle, and any of the sides you can determine any of the other sides.

For instance, assume an angle to be 30º, and the lenght of the hypotenuse to measure 5 units.

  • sine (30º) = opposite leg / 5 ⇒ opposite leg = 5 × sine (30º) = 2.5
  • cosine (30º) = adjacent leg / 5 ⇒ adjacent leg = 5 × cosine (30º) = 4.3

Thus, you have solved for the two unknown sides of the triangle. The three sides are 2.5, 4.3, and 5.

7 0
2 years ago
Ann is 5 feet 3 inches tall. To find the height of a lamppost, she measured her shadow to be 8 feet 9 inches and the lamppost’s
Makovka662 [10]

Answer: The lamppost is 7 feet 2 inches

Step-by-step explanation: If Ann measured her own height and her shadow, then what she used is a ratio between both measurements. If she can measure the shadow of the lamppost, then she can use the same ratio of her height and it’s shadow to derive the correct measurement of the lamppost.

If Ann’s height was measured as 5 feet 3 inches, and her shadow was 8 feet 9 inches, the ratio between them can be expressed as 3:5.

Reduce both dimensions to the same unit, that is, inches. (Remember 12 inches = 1 foot)

Ratio = 63/105

Reduce to the least fraction

Ratio = 3/5

If the height of the lamppost is H, then

H/144 = 3/5

H = (144 x3)/5

H = 86.4

Therefore the lamppost is approximately 86 inches, that is 7 feet and 2 inches tall.

5 0
2 years ago
I need help with this problem please
GrogVix [38]

Answer:

j = 2/3

Step-by-step explanation:

-1/3 = -1/2 j

Multiply each side by -2

-1/3 * -2 = -1/2 j * -2

2/3 =j

3 0
2 years ago
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In 12 games last season the school baseball team scored 5, 11, 2, 0, 4, 8, 9, 6, 7, 4, 1, and 2 runs. What is the average number
Mashcka [7]

Hello there!

First, we need to put our data set into proper numerical order (least to greatest).

Set: , 1,2,2,4,4,5,6,7,8,9,11

Now, to find the mean, we need to add them all up.

1 + 2 + 2 + 4 + 4 + 5 + 6 + 7 + 8 + 9 + 11 = 59

Then, divide it by how many numbers there are : 12

59 divided by 12 = 4.9166667

Round it to the nearest tenth.

4.9166667 = 4.9

This means the average number of runs scored per game is 4.9 runs.

7 0
3 years ago
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