Answer:
Step-by-step explanation:
SPQ = 43˚ because the angle between a tangent and a chord is equal to the angle in the alternate segment.
SOQ = 86˚ because the angle subtended by an arc at the centre is twice the angle subtended at the circumference.
SQ is not a diameter, if it was SOQ would need to be 90˚(angle at a semicircle)
To find the answer for x, you have to use the pythagoryen theorem. The line AC is 16 inches, but the little segment of the triangle is 4 inches. So first, you have to use the pythaoryen theorem and get this equation: CB plus AB=16 inches. Once you find CB, use it again to find the value of DB. DB plus DC equals CB. Then DB = X.
Answer:
1496π square meters
Step-by-step explanation:
A=2πrh+2πr²
=2π(17)(27)+2π(17)²
= 918π + 578π
=1496π
Answer:
Step-by-step explanation:
Please refer to the attachment.
By AA Similarity, the two triangles are similar.
Therefore, corresponding parts of them are proportional.
Therefore, we can write the following proportion:
We will solve for x. Cross-multiply:
Distribute:
Subtract 21 from both sides:
Divide both sides by 7. So, the value of x is:
However, that is only the value of x.
The shadow of the tree is (x+3).
Hence, we will need tot add 3 to our value. Therefore, the actual length of the shadow of the tree is approximately:
