Answer:
90 and 10
Step-by-step explanation:
90 + 10 = 100
90 - 10 = 80
<h3>
Answer: Choice C, 2/3</h3>
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Work Shown:
A = # of candies that are not green
A = (# of red)+(# of yellow)+(# of blue)
A = 25+15+20
A = 60
B = # of candies total
B = (# of red)+(# of green)+(# of yellow)+(# of blue)
B = 25+30+15+20
B = 90
P(not green) = probability of selecting candy that is not green
P(not green) = (# of candies not green)/(# of candies total)
P(not green) = A/B
P(not green) = 60/90
P(not green) = (2*30)/(3*30)
P(not green) = 2/3
Answer:
-4(8x-4)+3x = -29x+16
Step-by-step explanation:
1. Simplify -4(8x-4) by using the distribution property:
<u>-4(8x) = -32x and -4(-4) = 16 so -4(8x-4) = -32x+16</u>
2. Add 3x to the remaining equation:
<u>-32x+16+3x = -29x+16 </u>
3. The answer is:
<u> -29x+16 </u>
Answer: B
Step-by-step explanation:
When you factor an expression, you want to take out a factor of the numbers and variables.
Since this expression is a bit hard to factor as itself, we can FOIL the answers to see the correct expressions.
(4x-5)(4x-5)
16x²-20x-20x+25
16x²-40x+25
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.
