Okay, so in order to find scientific notation you're going to either move the decimal place to the left or right in order to make your answer a number between 1 and 9. In this case you're going to need to move it right, because you need to make it bigger in order to make it a number between 1 and 9. You'll have to move the decimal 9 places to the right, which will give you the number 2. Since you are making the number bigger, your exponent will be negative. That happens anytime you move the decimal place to the right. To the left, your exponent will be positive. Therefore the answer to 1 is:
2.00X10^-9
As for number two, you must first start by using the area formula of a triangle. That equation would be
A= 1/2bh or A=bh/2 (b=base and h=height)
By plugging that in you get an area of 83,200 miles. As mentioned before, when finding scientific notation, you want a number between 1 and 9. To do so, we have to make this number smaller by moving the decimal 4 places to the left (making the exponent positive) and resulting in an answer of:
8.32X10^4 miles
Answer in fraction form = 1/20
Answer in decimal form = 0.05
Answer in percent form = 5%
These are three ways to express the same thing
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Explanation:
Assume the gumball machine only has 5 gumballs, one of each color. The probability of getting yellow is 1/5 since there is one that is yellow out of 5 total.
The probability of getting a lion rubber band is 1/4 for similar reasoning as above.
Because the two events (getting yellow, getting a lion) are independent, this means we can multiply the two probabilities to get (1/5)*(1/4) = 1/20
Use your calculator to see that 1/20 = 0.05 which converts to 5% when you move the decimal point over 2 spots to the right.
Answer:
Distributive property
Step-by-step explanation:
In order to solve this equation we first need to distribute 3 into 2y+5, we use the distributive property to do this.
Answer:
1) Congruent
2) Supplementary
3) Congruent
4) Congruent
Step-by-step explanation:
1) The Alternate Interior Angles Theorem states that, when two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent .
2) Formally, we can say that if two lines are parallel, then consecutive interior angles are supplementary. We refer to this as the consecutive interior angles postulate.
3) When the lines are parallel, the corresponding angles are congruent . When two lines are cut by a transversal, the pairs of angles on one side of the transversal and inside the two lines are called the consecutive interior angles.
4) The Alternate Exterior Angles Theorem states that, when two parallel lines are cut by a transversal , the resulting alternate exterior angles are congruent.
Step-by-step explanation:
∫₀² x f(x²) dx
If u = x², then du = 2x dx, and ½ du = x dx.
When x = 0, u = 0. When x = 2, u = 4.
∫₀⁴ ½ f(u) du
½ (16)
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