Answer:
A). PR = 16.13 ft
B). QR = 9.64 ft
Step-by-step explanation:
Part (A).
From the figure attached,
ΔPQR is a right triangle,
m(PQ) = 14 ft
m(QR) = 8 ft
By applying Pythagoras theorem,
Hypotenuse² = (Leg 1)² + (Leg 2)²
(PR)² = (PQ)² + (QR)²
(PR)² = (14)² + (8)²
PR = √260
= 16.125
≈ 16.13 ft
Part (B).
If PR = 17 feet
and PQ = 14 feet
By applying Pythagoras theorem in ΔPQR,
PR² = PQ² + QR²
(17)² = (14)² + (QR)²
(QR)² = 289 - 196
QR = √93
= 9.644
≈ 9.64 ft
Answer:
The answer to your question is 23.2 ft
Step-by-step explanation:
Data
length square pyramid = 10 ft
width of a cube = 6 ft
height of the pyramid = ?
The surface area is equal in both figures.
Formula
Surface area of a cube = 6a²
Surface area of a square pyramid = ab + al = l x l + (l x h) /2
Process
1.- Calculate the surface area of the cube
Ac = 6(6)² = 6(36)
= 216 ft²
2.- Substitute data in the square pyramid formula
Ap = (10 x 10) + (10h)/2
3.- Equal both areas
216 = 100 + 5h
- Solve for h
216 - 100 = 5h
116 = 5h
h = 116 / 5
- Result
h = 23.2 ft
Answer:
The measure of angle MNP is
m ∠ MNP = (x - y)/2
Explanation:
The image attached shows the figure corresponding to this question.
The angle MNP, which is also the angle LNP, is formed by the intersection of a secant and a tangent to a circle.
Then, you can use the theorem:
the angle formed by a secant and a tangent to a circle that intersect outside the circle is half the difference of the major arc minus the minor arc.
The major arc formed is identified with the letter x and the minor arc is identified with the letter y. Thus, the measure of the angle MNP is half the difference x - y:
m ∠ MNP = (x - y)/2
Brainliest please
Answer:
The prices increased from $175,000 to $220,000. This is about a (I don't know there two, I'm very sorry)
