Answer:
52
Step-by-step explanation:
Area of bigger rectangle (A1)= 9×11=99
Area of smaller rectangle(A2)=8×6=48
Area of shaded region(A)=99-48=52
Answer:
35 hotdogs
Step-by-step explanation:
You are running a concession stand at a basketball game. You are selling hotdogs and sodas.
Let the number of hot dogs be represented by x
The number of soda be represented by y
You sold a total of 87 hotdogs and sodas combined
x + y = 87
x = 87 - y
Each hotdog cost $1.50 and each soda cost $0.50. At the end of the night you made a total of $78.50.
Hence we have the equation:
$1.50 × x + $0.50 × y = $78.50
1.50x + 0.50y = 78.50
Substitute 87 - y for x
1.50(87 - y) + 0.50y = 78.50
130.5 - 1.50y + 0.50y = 78.50
Collect like terms
- 1.50y + 0.50y = 78.50 - 130.50
-1.00y = -52
y = -52/-1
y = 52 sodas
How many hotdogs did you sell?
Using the equation:
x = 87 - y
x = 87 - 52
x = 35 hotdogs
Hence, you sold 35 hotdogs
Answer:
x and y do not show direct variation.
Step-by-step explanation:
The formula for direct variation is
y = kx Divide each side by y
k = y/x
k should have the same value for every point except, of course, (0,0)
For the first point,
k = 2/(-1) = -2
For the third point,
k = 2/1 = 2
The values of k are different, so x and y <em>do not</em> show direct variation.
I think b because all the other lines are the same length and b lines aren’t
The trig function sine, often abbreviated as "sin" (pronounced the same way as "sine"), is essentially the ratio or fraction of the opposite side and the hypotenuse. See the attached image for a reference.
The leg opposite angle B is side AC. Note how B is not present in the sequence "AC". Visually, we are as far away as possible from point B. This side is 16 units long. So AC = 16
The hypotenuse is the longest side of the right triangle. Always always always. This longest side is opposite the largest angle (90 degrees). Therefore the hypotenuse is BC = 17.46
In summary so far, we have,
opposite side = AC = 16
hypotenuse BC = 17.46
Let's use those values to compute sin(B)
sin(Angle) = opposite/hypotenuse
sin(B) = AC/BC
sin(B) = 16/17.46
sin(B) = 0.916 (this is approximate)
sin(B) =
0.92 (rounding to nearest hundredth)
This points to the
final answer of choice A) 0.92--------------------------------
Edit: Sorry nearly forgot about the reference image. I attached it just now.