Answer:
D. 63 degrees
Explanation:
We can use the Trigonometric ratio ‘Tan’ to get angle B (because you have all 3 lengths, you can use any ratio. I used tan because it didn’t make use of the decimal number).
TanB = opposite/adjacent
TanB = 4/2
TanB = 2
B = Tan^-1(2)
B = 63.43°
Your answer is D.
Please feel free to comment if you do not understand the use of ‘Tan^-1’
Answer:
Aaron needs <u>2 more rolls</u> to complete the path.
Step-by-step explanation:
Given:
Total rolls Aaron has = 4
Part of path covered by using 
of a roll = 
So, in order to find the number of rolls required to cover the complete path is given using the unitary method.
Rolls used for of a path =
Therefore, rolls used to cover the whole path is given by dividing the rolls used for one-eighth of the path and the path covered. This gives,
Now, rolls required to complete the path is 6. But Aaron has only 4 rolls.
So, he will need 6 - 4 = 2 rolls more to complete the path.
Answer:
To find the lateral surface area, we will find half of the perimeter of the base and multiply it by the slant height of the side triangles. Each triangle has a slant height. The slant height is the height of each triangle, not the height of the pyramid.
Step-by-step explanation:
Answer: Choice A
The triangles are congruent because both the corresponding sides of the triangles and the corresponding angles of the triangles are congruent.
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Explanation:
Congruent triangles are identical copies of one another. This means the corresponding pieces must be the same.
It's like saying two houses are identical, so that means the all the various parts (eg: front door, windows, etc) must be identical. If let's say the two front doors were different, then the houses wouldn't be completely identical.
Going back to the triangles, we know that the sides are congruent by the tickmarks
- side MN = side RS (single tickmark)
- side NP = side ST (double tickmarks)
- side MP = side RT (triple tickmarks)
That takes care of the first part of choice A.
And similarly, the angle markers tell us which angles are congruent
- angle M = angle R (single arc)
- angle N = angle S (90 degree angle marker)
- angle P = angle T (double arc)
That concludes the second part of choice A.
They need to walk 2 dogs for the box of treats
