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
They are similar triangles because they are both right triangles
A is the answer because the number 8 is a constant. and the multiplication sign is the operator.
Answer:
Step-by-step explanation:
For this exercise it is important to remember that a Right triangle is a triangle that has an angle that measures 90 degrees.
According to the Altitude Rule, given a Right triangle, if you draw an altitude from the vertex of the angle that measures 90 degrees (The right angle) to the hypotenuse, the measure of that altitude is the geometric mean between the measures of the two segments of the hypotenuse.
In this case, you can identify that the altitude that goes from the vertex of the right angle (
) to the hypotenuse of the triangle, is:
Then, based on the Altitude Rule, you can set up the following proportion:
According to the Leg Rule, each leg is the mean proportional between the hypotenuse and the portion of the hypotenuse that is located directly below that leg of the triangle.
Knowing this, you can set up the following proportions:
