Answer: 8√3
<u>Step-by-step explanation:</u>
ΔXVW is a 30°-60°-90° triangle. This special triangle has corresponding sides of lengths: b - b√3 - 2b. So,
VW = b
XW = b√3
XV = 2b
Since, YV = 24, then XW = 24 and we stated above that XW = b√3. So,
24 = b√3
= b
= b
= b
8√3 = b
We are looking for side YX which is congruent (equal) to VW and we stated above that VW = b, So, VW = 8√3
Answer:
He can make <u>3 birdhouses</u> if he has 12 feet of wood.
Step-by-step explanation:
Given:
Henry uses 3 feet of wood to make 3/4 of a birdhouse.
If he has 12 feet of wood.
Now, to find the birdhouses he can make.
So, to get the number of birdhouses we use unitary method:
Henry uses 3 feet of wood to make of a birdhouse.
So, in 1 feet of wood to make = =
Thus, in 12 feet of wood = =
Therefore, he can make 3 birdhouses if he has 12 feet of wood.
Answer:sin F = 4/5
cos F = 3/5
tan D = 3/4
Explanation:First, we have sin an angle = 4/5
In a right-angled triangle:
sin theta = opposite / hypotenuse
This means that in triangle DFE:
The hypotenuse = 5 units
one of the sides = 4 units
Use Pythagorean theorem to get the other side as follows:
hypotenuse^2 = side1^2 + side2^
25^2 = 4^2 + side2^2
side2^2 = 9
The second side of the triangle = 3 units
The special trig functions are as follows:
sin theta = opposite / hypotenuse
cos theta = adjacent / hypotenuse
tan theta = opposite / adjacent
From the attached figure and based on the calculations above:
sin F = 4/5
cos F = 3/5
tan D = 3/4
Hope this helps :)
Answer:
its either 3 or 4
Step-by-step explanation: