Answer:
- angles: 31.42°, 31.42°, 117.16°
- legs: 23.79 m
Step-by-step explanation:
The base angles can be found from the definition of the tangent function:
tan(base angle) = height/(half-base length)
base angle = arctan(12.4/20.3) ≈ 31.418°
Then the apex angle is double the complement of this:
apex angle = 2(90° -31.418°) ≈ 117.164°
The base angles are 31.42°, and the apex angle is 117.16°.
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The leg lengths can be computed from the Pythagorean theorem applied to the altitude and the half-base length.
leg length = √(12.4² +20.3²) = √565.85 ≈ 23.789 . . . . meters
The length of the legs is about 23.79 m.
The mystery number will be 19.4596
The centroid of a triangle divides the median of the triangle into 1 : 2
The measure of FQ is 18, while the measure of TQ is 6
Because point T is the centroid, then we have the following ratio
Where FT = 12.
Substitute 12 for FT in the above ratio
Express as fraction
Multiply both sides by 12
This gives
Divide 12 by 2
The measure of FQ is calculated using:
Substitute 12 for FT, and 6 for TQ
Add 12 and 6
Hence, the measure of FQ is 18, while the measure of TQ is 6
Read more about centroids at:
brainly.com/question/11891965
Answer:
5
Step-by-step explanation:
3+5+7+8+9+4+2+1+3+8=50
50/10=5
Answer:
B
Step-by-step explanation: