Answer:
1.) 9.9
2.) 15.6
Step-by-step explanation:
1.) Consider triangle AEH
AEH is a right angle triangle as ∠AEH = 90°
AH is the hypotenuse of the triangle.
Applying Pythagorean theorem
substituting values as given in the question:
∴ EH≈9.9
2.) Consider triangle CDF
CDF is a right angle triangle as ∠CDF = 90°
CF is the hypotenuse of the triangle.
Applying Pythagorean theorem
substituting values as given in the question:
∴ DF≈15.6
Answer:
2=9
4=17
Step-by-step explanation:
4(2)+1
8+1=9
4(4)+1
16+1=17
(11.5 x 34) + (16 x 16) = 256.5 meters squared :)
Given:
32 bolts for a total of $12.00
3-inch bolt costing 36 cents or 0.36
4-inch bolt costing 42 cents or 0.42
let x represent 3-inch bolt costing 36 cents
let y represent 4-inch bolt costing 42 cents
x + y = 32
0.36x + 0.42y = 12
x = 32 - y
0.36(32-y) + 0.42y = 12
11.52 - 0.36y + 0.42y = 12
-0.36y + 0.42y = 12 - 11.52
0.06y = 0.48
y = 0.48/0.06
y = 8
x = 32 - y
x = 32 - 8
x = 24
James bought 24 pcs of the 3-inch bolt and 8 pcs of the 4-inch bolt.
To check
<span>0.36x + 0.42y = 12
</span>0.36(24) + 0.42(8) = 12
8.64 + 3.36 = 12
12 = 12
First you subtract (1/4) from each side to get C by itself, then you convert (4/4) into 1. Then you divide both sides by (-4) to get C to equal 1. So your final answer is C=-1/4
