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Katarina [22]
2 years ago
5

In a classroom of 33

Mathematics
1 answer:
amid [387]2 years ago
5 0
Answer: 9 boys
Explanation:
3/11= x/33
11x= 99
x=9
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Given cos ⁡ ( θ ) = 5/6 , then sin ⁡ ( θ ) = a/b .<br><br> Determine the values of a and b.
slega [8]

Answer:

a = √11 and b = 6

Step-by-step explanation:

Refer to attached picture for reference

for an right triangle with angle θ

we are given

cos θ = 5/6 = length of adjacent side / length of hypotenuse

hence

adjacent length = 5 units

hypotenuse length = 6 units

the missing side is the "opposite" length which we can find with the Pythagorean equation. in our case:

hypotenuse ² = adjacent ² + opposite²   (rearrange)

opposite ² = hypotenuse ² - adjacent ²

opposite ² = 6² - 5²

opposite = √ (6²-5²) = √11

sin θ = opposite length / hypotenuse  (substitute values above)

sin θ = √11 / 6

hence a = √11 and b = 6

3 0
2 years ago
Which equation best represents the line? (10 Points)
son4ous [18]

Answer: D. y = 3x − 1

Step-by-step explanation:

The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where c = intercept

Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis

change in the value of y = y2 - y1

Change in value of x = x2 -x1

y2 = final value of y

y 1 = initial value of y

x2 = final value of x

x1 = initial value of x

From the graph,

y2 = 2

y1 = - 1

x2 = 1

x1 = 0

Slope,m = (2 - - 1)/(1 - 0) = 3/1 = 3

To determine the intercept, we would substitute x = 1, y = 2 and m= 3 into y = mx + c

y = mx + c. It becomes

2 = 3 × 1 + c = 3 + c

c = 2 - 3 = - 1

The equation becomes

y = 3x - 1

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3 years ago
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Schach [20]
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3 years ago
Find the area of an equilateral triangle (regular 3-gon) with the given measurement.
erica [24]
Answer is 36 hope this helps
7 0
3 years ago
a frame for mrs. nunez's class picture has an area of 93.5 square inches. the length of the frame measures 8 1/2 inches. what mu
kakasveta [241]

Answer:

Step-by-step explanation:

length times width = area

so you have 8.5w=93.5

divide 8.5 on both sides to get your answer

w= 11

so your width must be 11 inches

7 0
3 years ago
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