8th grade math help pls
1 answer:
The measure of the diagonal brace of the rectangular painting is 69.5 inches.
<h3>What is a diagonal?</h3>A diagonal is a line segment that joins one corner (vertex) of a polygon to another but is not an edge (side). In other words, it joins any two non-adjacent vertices of a polygon. So, we form a diagonal in a polygon when we directly join any two vertices which are not joined by any side.
The diagonal of the brace and the length of one side and width of one side form a right-angled triangle and by Pythagoras we have
diagonal^2 = length(L)^2 + width(W)^2
diagonal^2 = 60^2 + 35^2
diagonal^2 = 3600 + 1225
diagonal^2 = 4825
diagonal =
diagonal = 69.5 inches
In conclusion the diagonal of the brace is 69.5 inches
Learn more about rectangles: brainly.com/question/24438517
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Answer:
1.1264
Step-by-step explanation:
Given : An experiment using 35 guinea pigs is set up to study the weight of the pigs after injecting them with a drug.
To Find: If the population mean is 23.5 grams with a standard deviation of 3.4 grams, what is the margin of error of the sample mean?
Solution:
n = 35
Confidence interval = 95%. So, z =1.96
Margin of error =
Margin of error =
Margin of error =
Hence the margin of error of the sample mean is 1.1264.