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Sveta_85 [38]
3 years ago
11

Ramon makes a spinner with 4 colors. he colors 25% of the spinner red, 15% blue, 40% orange, and the rest green. ramon then spin

s the spinner. which outcome would be most likely to happen?
a. the spinner landing on green or red

b. the spinner landing on green or blue

c. the spinner landing on orange or red

d. the spinner landing on orange or blue
Mathematics
1 answer:
Murljashka [212]3 years ago
3 0

Answer:

c. the spinner landing on orange or red

Step-by-step explanation:

So first you find how much is green

25 + 15 + 40 = 80

100 - 80 = 20

So the amount green is 20%

Then you choose the color that has the biggest percentage because it has a higher change of being chosen

25% is red

15% is blue

40% is orange

20% is green

orange and red is the biggest amount/ has the biggest percentage

c is your answer

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if cot theta = -24/7 and cos theta < 0, name the quad in which theta lies, then find the exact value of csc theta
NemiM [27]
Cot θ = -24/7 and cos θ < 0

"cos θ < 0" means cosine is negative

Remember osmething like "ALL students Take Calculus"?

all is positive in quadrant 1
sine/cosecant is positive only in quadrant 2
tangent/cotangent is positive only in quadrant 3
cosine/secant is positive only in quadrant 4

since cot(angent) is the reciprocal of tangent, tangent must also be negative.

tangent is negative in quadrants II and IV
cosine is negative in quadrants II and III

therefore, θ must lie in quadrant II.

remember the tan θ = y / x. it is the y-coordinate divided by the x-coodinate. the y-coordinate would be the height of this 90 degree triangle that forms. the x-coordinate would be the bottom leg of the 90 degree triangle

then cot θ = x / y. therefore, cot θ = -24 / 7 means x = -24 and y = 7. we draw a triangle with these dimensions.

csc θ = r / y = hypotenuse over opposite (when you view the reference angle labeled as the one to base the hypotenuse/oppoiste on) because it is the reciprocal of sine

the hypotenuse can be found w/ pythagorean theorem

hypotenuse = √[(-24)² + 7²] = 25

therefore,
cot θ = 25/7

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Answer:

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Step-by-step explanation:

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find the consecutive even integers such that three times the larger number is 30 more than the smaller one. help :')
Minchanka [31]

Answer:

12 and 14

Step-by-step explanation:

Let the even integers be x and x+2

three times the larger number is expressed as 3(x+2)

30 more than the smaller one is x + 30

Equating both expressions

3(x+2) = x +30

Find x

3x+6 = x+30

3x-x = 30-6

2x = 24

x = 12

The second integer is 12+2 = 14

Hence the required integers are 12 and 14

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Which of these characteristics do a rhombus and a rectangle always have in common?
lutik1710 [3]

Answer:

opposite sides with equal length

hope it helps

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In five successive hours, a car traveled 40 km, 45 km, 50 km, 35 km and 55 km. In the next
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Answer:

Step-by-step explanation:

5 hours × 65 km/hour = 325 km

Total distance = 40+45+50+35+55+325 = 550 km

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