Answer:
See below.
Step-by-step explanation:
Part A:
triangle QPR and triangle PSR are similar
Part B:
Triangle QPR is a right triangle with right angle QPR.
Triangle SPR is a right triangle with right angle PSR.
Angle QPR of triangle QPR corresponds to and is congruent to angle PSR of triangle PSR.
Angle R of triangle QSR corresponds to and is congruent to angle R of triangle PSR.
The similar triangles by AA Similarity are
triangle QPR and triangle PSR
Part C:
QR/PR = PR/SR
16/PR = PR/4
PR² = 16 * 4
PR² = 64
PR = 8
Answer:
6. r = 21 cm
7. A = 155.5 m²
Step-by-step explanation:
7: Formula for arc length is;
S = (θ/360) × 2πr
We are given;
S = 51 cm
θ = 139°
Thus;
51 = (139/360) × 2π × r
Making r the subject;
r = (51 × 360)/(2π × 139)
r ≈ 21 cm
8) Area of sector is gotten from the formula;
A = (θ/360) × πr²
A = (220/360) × (π × 9²)
A = 155.5 m²
Answer: 128 ounces
Step-by-step explanation:
16 ounces are in each pound. so if you take that number and times it with the number 8 you would get 128 ounces.
Answer:
3/2
Step-by-step explanation:
Okay, I can represent this equation as rise over run
the coordinates 4,6 are subcoordinates 1
y: 6 - 3 = 3
x: 4 - 2 = 2
Since it is RISE over run then Y is the numerator and X is the denominator.
So the slope is 3/2.
