Answer:
m = 
Step-by-step explanation:
I'm assuming by m, you mean the slope.
You have two points. (-11, 5) and (2, -4)
- m = change in y-value ÷ change in x-value
1) Substitute in the points.
m = 
2) Solve.
So, the slope would equal .
Answer:
32 ft
Step-by-step explanation:
From the diagram, the side opposite the 60° angle is 28 feet.
We are looking for the approximate length of the cable.
The approximate length of the cable is the hypotenuse of the triangle shown.
Recall the sine ratio from SOH-CAH-TOA
Which means Sine of the angle is Opposite/Hypotenuse
Let the hypotenuse be h, then we have:
The length of the cable is approximately 32 feet
Answer:He should buy the six pack.
Step-by-step explanation:
The total number of hotdogs that the shopper needs is 48.
The store sells identical hot dogs in 2 differently sized packages. They sell a six pack hot dog for $2.10, and an eight pack of hot dog for $3.12.
If the shopper buys the six pack hot dog, he would need to buy 8 of it. The total cost would be
8 × 2.10 = $16.8
If the shopper buys the eight pack hot dog, he would need to buy 6 of it. The total cost would be
6 × 3.12 = $18.72
The 6 pack is cheaper than the eight pack. Therefore,
He should buy the six pack.
Answer:
For 5/11 shade in the third bubble (0.45 repeating)
Answer:
16 cm
Step-by-step explanation:
A right triangle, with the hypotenuse = 18, one side = 7, and the other side = x.
Since this is a right triangle, use the pythagorean theorem to find the value for x.
let a = 7 for one side, and let c = 18 for the hypotenuse. And, let c = x for the other side.
The pythagorean theorem is: c^2 = a^2 + b^2.
18^2 = 7^2 + x^2324 = 49 +x^2
x^2 = 324 - 49 = 275So, x = sqrt(275) = 16.5 cm
