Answer:
10 in
Step-by-step explanation:
There are two ways to work this problem, and they give different answers. The reason for that is that <em>the data shown in the diagram is not consistent</em>.
<u>Method 1</u>
Use the area to determine the base length. The area formula is ...
A = (1/2)bh
20 in^2 = (1/2)(b)(4 in)
(20 in^2)/(2 in) = b = 10 in
The missing side dimension is 10 inches.
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<u>Method 2</u>
Use the Pythagorean theorem to find the parts of the base, then add them up.
Left of the "?" we have ...
left^2 +4^ = 6^
left^2 = 36 -16 = 20
left = √20 = 2√5
Right of the "?" we have ...
right^2 +4^2 = 8^2
right^2 = 64 -16 = 48
right = √48 = 4√3
So, the base length is ...
base = left + right = 2√5 +4√3
base ≈ 11.400 in
The missing side dimension is 11.4 inches. (The area is 22.8 in^2.)
Answer:
3.785%
Step-by-step explanation:
Assignment is 14% of the quiz
=> Assignment = 14% of the quiz
Quiz is 27% of the total weightage
=> 14% of 27%
<u>Find 14% of 27% </u>
14% of 27%
= 0.14 x 27 = 3.785%
The assignment is 3.785% of the total weightage.
Answer: SU, TU, ST is the right answer
Step-by-step explanation: In a triangle
The largest side and the largest angle are opposite to each other
The shortest side and the shortest angle are opposite to each other.
So using the above axioms we can observe the triangle.
The largest angle is m∠U = 80° so the side opposite to it is the largest i.e. ST is the largest
The smallest angle is m∠T = 25° so the shortest side is SU
The third side will be the middle side as the angle ∠S is greater than 25° and less than 80°
So the sides in order from least to greatest are: SU, TU, ST
Answer:
8 blue chips and 12 red
Step-by-step explanation:
Assuming that the 1/2 is to be distributed; slope would be x or 1 and the y intercept would be -4