Answer:
9
Step-by-step explanation:
Radius = x
The triangle in the given image is a right angled triangle.
By Pythagoras theorem,
x² + 12² = ( x + 6 )²
x² + 144 = x² + 36 + 12x
x² - x² = 36 - 144 + 12x
0 = - 108 + 12x
12x = 108
x = 108 / 12
x = 9
Answer:
An ANOVA test
Step-by-step explanation:
You will use the ANOVA test, which is a test that compares the means of more than 2 samples. Since the teacher used 3 test groups, she would have to use this test if she wanted to do a hypothesis test to determine if the means are equal.
*This test only tells us if the means are equal, it won't say which is greater than the other. You would have to do 3 individual hypothesis tests comparing 2 means at a time in order to determine that.
Answer:
the answer is zero property
Answer:
yes
Step-by-step explanation:
The side lengths satisfy the Pythagorean theorem, so the triangle is a right triangle.
7.5² +10² = 12.5²
56.25 +100 = 156.25
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You may recognize that the ratios of side lengths are ...
7.5 : 10 : 12.5 = 3 : 4 : 5
A 3-4-5 triangle is a well-known right triangle, as this is the smallest set of integers that satisfy the Pythagorean theorem. They also happen to be consecutive integers, so form an arithmetic sequence. Any arithmetic sequence that satisfies the Pythagorean theorem will have these ratios.
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If you're familiar with trigonometry, you know the law of cosines tells you ...
c² = a² + b² - 2ab·cos(θ) . . . . where θ is the angle between sides a and b. This reduces to the Pythagorean theorem when θ=90°, which makes cos(θ)=0. If the sides do not satisfy the Pythagorean theorem, cos(θ)≠0 and the triangle is not a right triangle.