Hello!
First of all, let's find A. This is the opposite and hypotenuse we will be dealing with. Therefore, we will use the sin.
sin30= 0.5
This gives us the equation below.
a/12=0.5
a=6
Now we find b. This is the adjacent and hypotenuse. Therefore, we will use the cosine.
cos30≈0.87
This gives us the equation below.
b/12=0.87
b=10.44
I hope this helps!
Answer:
0.51cm/s
Step-by-step explanation:
Area of a circle A = πr²
r is the radius
Rate of change of area is expressed as;
dA/dt = dA/dr • dr/dt
dA/dr = 2πr
radius r = 77cm
dA/dt = 79cm²
Get dr/dt
Substitute the given values into the formula
79 = 2π(77)•dr/dt
79 = 154dr/dt
dr/dt = 79/154
dr/dt = 0.51cm/s
Hence the rate of change of the radius is 0.51cm/s
Answer:
-14/45 is the answer dad
Step-by-step explanation:
Answer:
x = 7 ; y = 9
Step-by-step explanation:
Given the system of equation :
y = 2x - 5 - - - (1)
-x + y = 2 ___(2)
From (1)
y = 2x - 5
Put y = 2x - 5 into (2)
-x + 2x - 5 = 2
-x + 2x = 2 + 5
x = 7
We can then solve for y;
Substituting x = 7 into. Equation (1)
y = 2x - 5
y = 2(7) - 5
y = 14 - 5
y = 9
Hence ;
x = 7 ; y = 9
The rectangle is 4 x 5. Area of 20.
The three triangles that are cut off from the rectangle to make QRS have areas of 5, 2, and 6. 13 total cut off.
Subtract 13 from 20.
20 - 13 = 7.
The answer is A, 7. Hope this helps!