Answer:
B) 64:25
Step-by-step explanation:
Ratio of Lengths = a/b
Ratio of Areas = a^2/b^2
Ratio of Volumes = a^3/b^3
Product of all slopes ( 4 ) of all sides of a rectangle = 1 .
Rectangle has opposite sides parallel and equal in measure .
Given : A rectangle in x y - plane which is 2 - D .
To find : the product of all slopes of all sides of a rectangle
The length and width will be parallel to each other hence their individual slope = 1 .
Product of all slopes of all sides of a rectangle = 1 * 1
= 1
Hence , product of all slopes of all sides of a rectangle = 1 .
To learn more on slopes of a line :
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Answer:
1. The mode is the best measure of central tendency for the data.
Step-by-step explanation:
This is false because the mode is often referred to as the best measure of central tendency for data when the data that is being treated is <em>nominal or ordinal</em>. In this case, we are dealing with the number of candy bars sold, so this type of data is called ratio.In most cases, mean is the most preferred measure of central tendency. Median is used though when there are a few outliers among the data because of the outliers' effects on the mean.
Answer:
See below.
If the correct sum is 1155, then Ken had 495 stamps, and Henry had 660 stamps.
Step-by-step explanation:
Henry had h stamps.
Ken had k stamps.
After giving away 2/3 of his stamps, Henry ended up with 1/3 of his stamps, or h/3.
After giving away 3/4 of his stamps, ken ended up with 1/4 of his stamps, or k/4.
h/3 = k/4
h + k = 1156
4h = 3k
h = 1156 - k
4(1156 - k) = 3k
4624 - 4k = 3k
4624 = 7k
k = 4624/7
Stamps left: 0.25 × 4624/7 = 1156/7
h = 1156 - k
h = 1156 - 4624/7
h = 8092/7 - 4624/7
h = 3468/7 =495.43
Stamps left: 1/3 × 3468/7 = 1156/7
Total number of stamps left: 1156/7 + 1156/7 = 2312/7 = 330.29
The problem is solved correctly, but the numbers given must be incorrect since you cannot have a fraction of a stamp.
Answer:
x = 39
Step-by-step explanation:
We know that PRQ is a right triangle, so we use the pythagorean theorem to solve the problem. The theorem states that a^2 + b^2 = c^2. Let's assume that the length of RP is c, the length of PQ is a and x is b. We plug the lengths into the equation and solve it:
80^2 + x^2 = 89^2
6400 +x^2 = 7921
x^2 = 1521
x =
x = 39