small frames ($8): s
large frames ($15): L
Cost: 8s + 15L = 239 ⇒ 1(8s + 15L = 239) ⇒ 8s + 15L = 239
Quantity: s + L = 22 ⇒ -8( s + L = 22) ⇒ <u> -8s -8 L = -176 </u>
7L = 63
L = 9
Quantity: s + L = 22 ⇒ s + (9) = 22 ⇒ s = 13
Answer: 13 small frames, 9 Large frames
Draw a line from Y through the center of the circle to the opposite edge. Label the opposite edge T. ZYT = 90o. That's a property of a tangent line and a diameter touching the tangent point.
ZYX = 60o Given
TYX + ZYX = 90o Property of a diameter and circles. That's
TYX = 90 - 60
TYX = 30.
The arc measurement between T and X = 60o Property of a central angle and an angle whose vertex is on the circumference sharing the same endpoints of chord are related by a ratio of 2:1.
The rest of the arc = 120o. The rest of the arc is 180 - 60 = 120. The rest of the arc is XYZ which is 120o
Arc XYZ is bisected by YW. Therefore Arc XW = 120/2 = 60
The answer is A.
Answer:
(-7, -4)
Step-by-step explanation:
The midpoint formula is expressed as;
M (X,Y) = {(x1+x2/2), (y1+y2)/2}
Given that M(-4, -3) and (x1, x2) = (-1, -2)
X = x1+x2/2
-4 = -1+x2/2
-8 = -1 + x2
x2 = -8 + 1
x2 = -7
SImilarly;
Y = y1+y2/2
-3 = -2+y2/2
-3*2 = -2+y2
-6 = -2 + y2
y2 = -6 + 2
y2 = -4
Hence the coordinate of B is (-7, -4)
Answer: option A is the correct answer.
Step-by-step explanation:
The rope, the flagpole and the ground would form a right angle triangle. The length of the rope represents the hypotenuse of the right angle triangle. The vertical height of the flagpole represents the opposite side of the right angle triangle. The distance from the point where the rope is staked to the ground to the base of the pole represents the adjacent side of the right angle triangle.
To determine the height if the flagpole h, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
Therefore,
29² = 21² + h²
841 = 441 + h²
h² = 841 - 441 = 400
h = √400 = 20 ft
Answer:
0.92!
Step-by-step explanation:
