Simplify to a single trig function with no denominator. csc^2 x -cot^2 x

Tyrone has 20 pieces of candy. The ratio of chocolate to hard candy is 1:3. How many pieces of hard candy does Tyrone have?

belka [17]

Answer:

15 pieces

Step-by-step explanation:

a ratio of 1:3 has 4 total parts, meaning that each part is 5.

20/3 = 15 so that means he has 5 pieces of chocolate and 15 of hard candy.

8 0

2 years ago

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A designer builds a model of a sports car. The finished model is exactly the same shape as the original, but smaller. The scale

lesantik [10]

Answer:

$Ratio = 2 : 15$

Step-by-step explanation:

Given

$k = 2 : 15$ --- scale factor

Required [missing from the question]:

The ratio of width of the model to the original

From the question, we understand that the scale factor is: 2 : 15

The ratio of the width of the model to the original equals the given scale factor i.e.

$Ratio = 2 : 15$

8 0

2 years ago

Give the positive solution of x^2 – 36 = 5x.

andriy [413]

The equation given in the question is

x^2 - 36 = 5x
x^2 - 5x - 36 = 0
x^2 - 9x + 4x - 36 = 0
x(x - 9) + 4(x - 9) = 0
(x - 9) (x + 4) = 0
From the above set we can say that x = 9 is the positive solution of the equation given in the question. I hope that this is the answer that you were looking for and it has come to your great help.

5 0

2 years ago

Tony has a bucket filled with green, blue, yellow, and red markers. He removes 3 markers from the bucket, with replacement. Sele

Margaret [11]

Answer:

Options A), B), C), D)

Step-by-step explanation:

There are 4 colors of markers.

Take out three "with replacement" markers.

As there is replacement, then the number of markers in the cube does not change in each trial.

A) There is a chance that when you get the three markers always get the same color.

B) It is likely to get a marker of each color

C) If 3 markers are taken it is likely to get the same amount of green and blue markers. For example, if there are 3 markers obtainable: blue, green, yellow. Then the number of blues and yellows is the same.

D) If 3 markers are taken it is likely to obtain the same amount of red and yellow markers. For example, if there are 3 markers you could obtain: red, yellow, blue. Then the number of reds and yellows is the same.

E) It is impossible for this to happen, because if only 3 markers of two different colors are taken, then there will always be 2 markers of one color and only one marker of another color:

green, green, yellow

blue, blue, green

blue, red, red .....

So the first 4 results are possible. Only the last result is impossible to obtain

5 0

2 years ago

the average white rhinoceros gives birth to a single calf that weighs about 3.8% as much as its mother. if the mother rhinoceros

Lisa [10]

Here is the solution of the given problem above.
Given: Weight of single calf = weight of mother + 3.8%
Weight of mother = 3.75 tons or 7,500 pounds
? = weight of the calf
First, we need to find the 3.8% of 7,500 pounds. The result is 285 pounds.
So to get the weight of the calf, let's add 7,500 pounds to 285 pounds and the result is 7,785 pounds. So the weight of the calf is 7,785 pounds. Hope this helps.

7 0

3 years ago

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Simplify to a single trig function with no denominator.csc^2 x -cot^2 x