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Answer:
sin(D) = cos(E) = (√3)/2
cos(D) = sin(E) = 1/2
Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to remind you of the relationships between trig functions and right triangle sides.
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
For this diagram, this means ...
sin(D) = cos(E) = (13√3)/26 = (√3)/2
cos(D) = sin(E) = 13/26 = 1/2
Answer:
x = -3.5
Step-by-step explanation:
Mark brainliest please!!
<u> case a)</u> The area of the square hole is 8 square centimeters
we know that
the area of a square is equal to
where
b is the length side of the square
in this problem we have
<u>Find the length side b</u>
<u>the answer Part a) is</u>
the length side of the square is 
Part b) The volume of a cube shaped block is 64 cubic centimeters
we know that
the volume of a cube is equal to
where
b is the length side of the cube
in this problem we have
<u>Find the length side b</u>
![b^{3} = 64 \\b= \sqrt[3]{64} \\b= 4\ cm](https://tex.z-dn.net/?f=b%5E%7B3%7D%20%3D%2064%20%5C%5Cb%3D%20%5Csqrt%5B3%5D%7B64%7D%20%5C%5Cb%3D%204%5C%20cm)
therefore
<u>the answer Part b) is</u>
the length side of the cube is 
Answer: Cluster sampling
Step-by-step explanation:
Cluster sampling is a type of sampling method . With cluster sampling, the observer splits the population into separate groups which are called as called clusters. After dividing the whole populations into clusters he select a simple random sample of clusters from the population. The observer conducts his analysis on data from the sampled clusters.
From the given statement we can see that the automobile is doing his analysis by selecting three stores from each state (cluster) in the country and surveys all customers present in the store in a certain week.
Hence, he used cluster sampling .
There are (15 + 13) = 28 students in Ms.Peterson's class.
13 of them are boys.
The probability of drawing a boy's name is
(boys) / (total) =
<em> </em> 13 / 28 = <em> 0.4643...</em> = 46.4% . (rounded)
