None 3 * 66 = 198
ALL triangles have a total degree measure of 180 degrees
The set of side measurements that could be used to form a right triangle is 3, 4 and 5 option (D) is correct.
What is a right-angle triangle?
It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
It is given that:
The side length of the triangle is shown in the option:
As we know,
Pythagoras' theorem is the square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.
Using Pythagoras' theorem:
From option(D):
3, 4 and 5
(3)² + (4)² = 5²
9 + 16 = 25 (True)
Thus, the set of side measurements that could be used to form a right triangle is 3, 4 and 5 option (D) is correct.
Learn more about the right-angle triangle here:
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All of possible ratios of boys to girls that could be made is 8:16; 4:8; 2:4; 1:2
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Answer:
And rounded up we have that n=385
Step-by-step explanation:
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by and . And the critical value would be given by:
The margin of error for the proportion interval is given by this formula:
(a)
And on this case we have that and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
The estimated proportion for this case is . And replacing into equation (b) the values from part a we got:
And rounded up we have that n=385
Answer:
a.)48
b.)528
c.)448
Step-by-step explanation:
a.)8x8=64. 4x4=16 64-16=48
b.)48(from a. answer)x11=528
c.)11x8(x2 for the other side)=176. 11x4x4=176.
48x2=96. 176+176+96=448