Answer:
B
Step-by-step explanation:
Use SOHCAHTOA.
sinθ = 
Opposite side length= 12
Hypotenuse length = 37
Find the adjacent side length (b) using the Pythagorean theorem.

b = 35
tanθ =
= 12/35
Choice B is the correct answer.
Answer:
8
Step-by-step explanation:
first we will just solve the expression 2(4x +6)=78
1. use destributive property with 2(4x + 6)
2*4x=8x
2*6=12
(8x+12)=78
2. now that the expression is simplified down we will subtract 6 by 6 to isolate it
6-6+=0
78-6=72
3. now we can divide 8x by 8 also divide 78 by 8
8x/8=0
78/8= 9.75
9514 1404 393
Answer:
A) SQ is the geometric mean between the hypotenuse and the closest adjacent segment of the hypotenuse.
Step-by-step explanation:
In this geometry, all of the right triangles are similar. That means corresponding sides have the same ratio (are proportional).
Here, SQ is the hypotenuse of ΔSQT and the short side of ΔRQS.
Those two triangles are similar, so we can write ...
(short side)/(hypotenuse) = QT/SQ = QS/RQ
In the above proportion, we have used the vertices in the same order they appear in the similarity statement (ΔSQT ~ ΔRQS). Of course, the names can have the vertices reversed:
QT/SQ = SQ/QR . . . . . QS = SQ, RQ = QR
__
When this is rewritten to solve for SQ, we get ...
SQ² = QR·QT
SQ = √(QR·QT) . . . . SQ (short side) is the geometric mean of the hypotenuse and the short segment.
Step-by-step explanation:
Using the kinematics equation,
v = u + at
where v = Final speed = 15m/s
u = Initial Speed = 30m/s
t = time taken = 10 seconds
a = acceleration.
Substitute v , u and t to find a.

Answer:
4.124mm^3
Step-by-step explanation: