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emmasim [6.3K]
3 years ago
10

In Mr. Siegel’s class, 15% of the students are in the Scrapbooking Club and 45% are in the Cooking Club. His remaining students

are in the Board Game Club.
Drag numbers to the table to express the percent of students in each club as a fraction and a decimal.
Mathematics
1 answer:
Oksanka [162]3 years ago
6 0

Answer:

Step-by-step explanation:

15% = 15/100= 0.15

45% = 45/100 = o.45

Remaining students: 40% = 40/100 = 0.4%

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Given: sin ∅= 4/5 and cos x = -5/13 ; evaluate the following expression.<br><br> tan( ∅ - x )
Pavlova-9 [17]

By definition of tangent,

tan(θ - x) = sin(θ - x) / cos(θ - x)

Expand the sine and cosine terms using the angle sum identities,

sin(x ± y) = sin(x) cos(y) ± cos(x) sin(y)

cos(x ± y) = cos(x) cos(y) ∓ sin(x) sin(y)

from which we get

tan(θ - x) = (sin(θ) cos(x) - cos(θ) sin(x)) / (cos(θ) cos(x) + sin(θ) sin(x))

Also recall the Pythagorean identity,

cos²(x) + sin²(x) = 1

from which we have two possible values for each of cos(θ) and sin(x):

cos(θ) = ± √(1 - sin²(θ)) = ± 3/5

sin(x) = ± √(1 - cos²(x)) = ± 12/13

Since there are 2 choices each for cos(θ) and sin(x), we'll have 4 possible values of tan(θ - x) :

• cos(θ) = 3/5, sin(x) = 12/13 :

tan(θ - x) = -56/33

• cos(θ) = -3/5, sin(x) = 12/13 :

tan(θ - x) = 16/63

• cos(θ) = 3/5, sin(x) = -12/13 :

tan(θ - x) = -16/63

• cos(θ) = -3/5, sin(x) = -12/13 :

tan(θ - x) = 56/33

7 0
2 years ago
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Solve for x and y (use elimination or substitution). Show work.
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I hope it can help you hehe. dint forget give me brainlist hehe

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3 years ago
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The ratio of red cars to blue cars in a parking lot was 5 : 3. If there were 40 red cars, how many blue cars were there?
Ne4ueva [31]

Answer:

24 blue cars

Step-by-step explanation:

In this problem, one is given the ratio of red to blue cars in the parking lot. One is given the actual number of red cars, and one is asked to find the number of blue cars. One can set up a proportion; ratio to actual, then solve to find the number of actual blue cars using the method of cross-products. One can set up the proportion using the ratios, but it is easier to express the proportion as the equality of two fractions. Thus, the following equation can be formed, let the parameter (x) represent the actual amount of blue cars;

\frac{red}{blue}= \frac{5}{3} = \frac{40}{x}

Cross products,

5x = 120

Inverse operations,

x = 24

4 0
3 years ago
Find the surface area of the regular pyramid
Fofino [41]

Answer:

I do not know, but I do know the formula.

The formula is: 12pl+B where p represents the perimeter of the base, l the slant height and B the area of the base.

3 0
3 years ago
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Please help asap 40 points
denis23 [38]
Remark
What this is trying to tell you is that you have two factors. Each in turn can be zero, but they cannot be zero at the same time. You will get that kind of question, just not now.

So either - n = 0 or 5n - 4 =0

Solution
- n = 0     Multiply both sides by - 1
(-1)*(-n) = 0*-1
n = 0

5n - 4 = 0   Add 4 to both sides.
5n = 4        Divide by 5
n = 4/5

Comment
B and D are both wrong 4/5 is positive. and those list n as -4/5 which is wrong.
A is wrong because the function will not go to 0 if n = -1

Answer
C <<<<Answer

4 0
3 years ago
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