Let x and y be the angles
X= 3•y-8
X+ y = 180
Substitute first relationship in second
3y-8+y=180
4y=180+8
Y =188/4= 47 degrees
X= 180-47=133 degrees
The measure of the large angle is
133 degrees
Answer:
answer of this qn is 15in^2
Answer:
0.9
Step-by-step explanation:
You could just use a calculator.
Answer:
Length: 116
Width: 21
Step-by-step explanation:
Let's say that the width of carpet is x. If the length of the carpet is 95 inches more than the width, then let's say that the width is x + 95.
Since we are solving for the perimeter, you have to multiply the width and the length(x and x + 95) by two.
So,
2x + 2x + 190 = 274.
Simplify this and you get:
4x= 274 - 190
4x = 84
x= 21
So, the width is 21. This means that the length is 21 + 95.
21 + 95 = 116
Answer:
The pebble will hit the ground 8.29 second after it is thrown.
Step-by-step explanation:
Given that,
The height of the pebble after t seconds is given by the equation
h= -16t²+24 t+900.
When the pebble hit the ground, the height of the pebble will be zero.
So putting h=0 in the given equation.
0 = -16t²+24 t+900
⇒-4(4t²-6t-225)=0
⇒4t²-6t-225=0
Applying quadratic formula 
, here a=4, b= -6 and c= -225.
⇒ t = 8.29, -6.79
Since time can not negative.
∴t=8.29 seconds.
The pebble will hit the ground 8.29 second after it is thrown.
