None of the triangles listed has two equal base angles or two equal side lengths, therefore: D. No triangle is isosceles.
<h3>Properties of an Isosceles Triangle</h3>
- An isosceles triangle has two base angles having equal angle measure.
- The side lengths that are opposite each of the equal base angles are also congruent to each other.
Thus, none of the triangles listed has two equal base angles or two equal side lengths, therefore: D. No triangle is isosceles.
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We want to find the value of cot(θ) given that sin(θ) = 3/8 and θ is an angle in a right triangle, we will get:
cot(θ) = (√55)/3
So we know that θ is an acute angle in a right triangle, and we get:
sin(θ) = 3/8
Remember that:
- sin(θ) = (opposite cathetus)/(hypotenuse)
- hypotenuse = √( (opposite cathetus)^2 + (adjacent cathetus)^2)
Then we have:
opposite cathetus = 3
hypotenuse = 8 = √(3^2 + (adjacent cathetus)^2)
Now we can solve this for the adjacent cathetus, so we get:
adjacent cathetus = √(8^2 - 3^2) = √55
And we know that:
cot(θ) = (adjacent cathetus)/(opposite cathetus)
Then we get:
cot(θ) = (√55)/3
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Answer:
5
Step-by-step explanation:
Given :
Observed values = 5, 10, 15
Expected freqencies = 10
χ² = Σ(observed - Expected)² / Expected
χ² = (5-10)²/10 + (10-10)²/10 + (15-10)²/10
χ² = 25/10 + 0/10 + 25/10
χ² = 2.5 + 0 + 2.5
χ² = 5
slope=(-16-5)/(-8-18)=21/26
There are two methods that can be used to write 0.368 in expanded form.
Method-1:
Take the first number after the decimal point and divide it by 10. Take the second number after the decimal point and divide it by 100. Take the third number after the decimal point and divide it by 1000. Lastly, add all of them.

Method-2:
Multiply first number after decimal point with 0.1; multiply second number after decimal point with 0.01; multiply third number after decimal point with 0.001, and add them all.
(3 * 0.1) + (6 * 0.01) + (8 * 0.001) = 0.368