Answer:
x=45
Step-by-step explanation:
Answer:
x=24, y = 33/360 π×24^2/(sin^2(33° (degrees)))
Step-by-step explanation:
notice that x = MK = HM = 24.
Let the center of the circle be C.
Also, notice the radius of the circle can be expressed as the hypotenuse of HMC. Using some trig, we figure out that the radius is 24/sin(33 degrees).
Using the radius of the circle, we can figure out the circumference. The circumference is pi*r^2=(24/sin(33 degrees))^2*pi=pi*24^2/(sin(33 degrees)^2)
Lastly, notice that y = 33/360*circumference = 33/360 π×24^2/(sin^2(33° (degrees)))
hopefully this helped
To find the angles in these problems you have to do one of two things.
1) If we are looking for an interior angle with the exterior angle given, we can find the interior angle by subtracting the exterior angle from 180.
EX: Exterior angle K is 140. Therefore the interior angle is 40 (180 - 140 = 40).
2) If order to find an interior angle when you have other interior angles, add up the other interior angles and subtract them from 180.
EX) Interior angle A is 32 because the other angles are 120 and 28. (180 - 120 - 28 = 32)
ALSO, remember that the square is equal to 90 degrees. I've included an answer list for you below.
A = 32
B = 152
C = 65
D = 25
E = 37
F = 83
G = 97
H = 97
I = 83
J = 57
K = 40
L = 120
M = 60
N = 90
O = 79
P = 12
Answer:
2.5 seconds.
Step-by-step explanation:
Find the value of t when the height is 28 feet:
-16t^2 + 56t + 4 = 28
-16t^2 + 56t - 24 = 0
-8(2t^2 - 7t + 3) = 0
-8(2t - 1)(t - 3) = 0
t = 0.5, 3 seconds.
So on the upward journey the rock is at 28 feet at 0.5 second after the throw and at 3 seconds it is at 28 feet again while it is falling back.
Therefore the period when it is at least 28 feet above the ground is 3.0 - 0.5 = 2.5 seconds.
The charges for mowing lawns are $5 per hour and charges for walking dogs are $3 per hour.
Step-by-step explanation:
Let,
x be the charge per hour for mowing lawns
y be the charge per hour for walking dogs
According to given statement;
10x+4y=62 Eqn 1
8x+5y=55 Eqn 2
Multiplying Eqn 1 by 5
Multiplying Eqn 2 by 4
Subtracting Eqn 4 from Eqn 3
Dividing both sides by 18
Putting in Eqn 1
Dividing both sides by 4
The charges for mowing lawns are $5 per hour and charges for walking dogs are $3 per hour.
Keywords: linear equation, subtraction
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