Answer:
B'(-5,-6)
Step-by-step explanation:
The mapping for 180° clockwise rotation about the origin is:
The find the image of B(5,6), we plug in x=5 and y=6 into the rule.
Therefore the coordinates of B' are (-5,-6).
<span>The number of fully blocked experiment that the researcher will be able to form given that the groups of subjects is composed of 1 explanatory variable and 3 other variables, for a total of four variable is letter B. 16. This is because there are 2 options in each of the variable similar to saying 2^4 which is equal to 16. </span>
Answer:
The number of multiple-choice questions are 15.
Step-by-step explanation:
Mrs. Snell's math test has twenty questions and is worth 100 points.
The test consists of multiple-choice questions and short answer questions.
Let M represents the Multiple choice questions.
Let S represents the short answer question.
It is given that the total number of question are 20.
...(1)
Also, multiple-choice questions worth 3 points each, and short answer questions worth 11 points each. The total worth of the test is 100 points.
...(2)
Multiply equation (1) by 3 and subtract from equation (2).
The total number of short answers is 5.
Put S=5 in equation 1.
Hence, the number of multiple-choice questions are 15.
Problem 3
If we peel off the sticker off the side of a 3D cylinder, then we can form a rectangle (imagine we're able to peel it off completely without any folds or tears).
The length of the rectangular sticker is the distance around the curved circular base. So it's C = pi*d = pi*1.5 = 1.5pi inches across. The height of the rectangle is the same as the height of the cylinder. So the height is 5 inches.
The area of the rectangle is: length*width = (1.5pi)*(5) = 7.5pi
That's the exact area in terms of pi
If you use the approximation pi = 3.14, then we'll get 7.5*3.14 = 23.55 square inches as the final answer
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Problem 4
The square base has area of 38*38 = 1444 square cm
The side panels are 4 identical triangles. Each triangle has area base*height/2 = 38*55/2 = 1045 square cm. Meaning that all four triangles combine to a lateral surface area of 4*1045 = 4180 sq cm.
The total surface area is: 1444+4180 = 5624 square cm.
When you wrote 55*38*2+38*38 on your paper, you had the right idea because that evaluates to 5624
Answer:
0+10
Step-by-step explanation:
yes
