Answer:
Answer:
x = √70
Step-by-step explanation:
The triangles shown are all similar, so the corresponding sides are proportional.
hypotenuse/long side = x/7 = (7+3)/x
Cross-multiplying gives ...
x^2 = 7(10)
x = √70
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You will note that the value of x (the long side) is the geometric mean of the long segment and the whole hypotenuse.
A similar "geometric mean" relation holds for the short side:
BC = √(CD·CA)
There is yet another "geometric mean" relation that holds for the altitude:
BD = √(CD·AD)
Step-by-step explanation:
HOPE THIS HELPS
Answer:
6.0
Step-by-step explanation:
This involves using SOH CAH TOA.
we use Sin as we want to find x (which is side O, and we are given H).
So we get sin37 = O/H
= x/10
so x = 10 sin 37 = 6.018... = 6.0 to the nearest tenth.
<u>Given</u>:
Given that the diameter of the hemisphere is 12.6 cm
The radius of the hemisphere is given by
We need to determine the volume of the hemisphere.
<u>Volume of the hemisphere:</u>
Let us determine the volume of the hemisphere.
The volume of the hemisphere can be determined using the formula,
Substituting the values, r = 6.3 and π = 3.14, we have;
Simplifying the values, we have;
Dividing, we have;
Rounding off to the nearest tenth, we get;
Thus, the volume of the hemisphere is 523.5 cm³
Answer:
If you want to know what b is then it is 16
Step-by-step explanation:
38 + b = 54
54- 38 = 16
38 + 16= 54
Answer: Circle
Solve for area
A≈86.66in²
C Circumference
Using the formulas
A=πr2
C=2πr
Solving forA
A=C2
4π=332
4·π≈86.65987in²
Step-by-step explanation:
