Part A.
Using the Pythagorean theorem,
PR² = PQ² +QR²
PR² = (14 ft)² +(6 ft)² = 196 ft² +36 ft² . . . . substitute the given numbers
PR² = 232 ft² . . . . . . . . . . . . . . . . . . . . . . . .find the sum
PR = √(232 ft²) ≈ 15.23 ft . . . . . . . . . . . . . take the square root
The length of rod PR is 15.23 ft.
Part B.
Using the Pythagorean theorem,
PR² = PQ² +QR²
(16 ft)² = (14 ft)² +QR² . . . . . . . substitute the given numbers
256 ft² -196 ft² = QR² . . . . . .. subtract 14²
60 ft² = QR² . . . . . . . . . . . . . . find the sum
√(60 ft²) = QR ≈ 7.75 ft . . . . . take the square root
The new height QR is about 7.75 ft.
Answer:
Sue must use 3 hotdogs and 4 half-cup serving of baked beans.
Step-by-step explanation:
Let the number of hot dogs be represented by h
Let the number of baked beans be represented by b
Hot dogs have 13 grams of fat and 145 calories each
Baked beans have 8 grams of fat and 330 calories per half cup serving
Sue wants to plan a meal with 71 grams of fat and 1755 calories.
Grams of Fat from Hotdog + grams of fat from baked beans=71
13h+8b=71....(I)
Similarly,
Calories from hot dog + Calories from baked beans=1755
145h+330b=1755....(II)
We then solve Equations (I) and (II) simultaneously.
13h+8b=71....(I)
145h+330b=1755....(II)
Multiply equation 1 by 145 and equation 2 by 13
1885h+1160b=10295
1885h+4290b=22815
Subtracting
-3130b=-12520
b=4
Substitute b=4 into (I)
13h+(8X4)=71
13h=71-32
13h=39
h=3
Sue must use 3 hotdogs and 4 half-cup serving of baked beans.
Answer:
15 girls, 10 boys
Step-by-step explanation:
Since the ratio is 3:2, then the ratio can be rewritten as 15:10. So there are 15 girls and 10 boys
Answer:
154
Step-by-step explanation:
perimeter is the area all round, basically you sum all the measurements
