Answer:
a) PR = 17 cm, b) QR = 6 cm
Step-by-step explanation:
∠Q=90, so PQ and QR are legs, and PR is hypotenuse.
Pythagorean theorem PQ² + QR² = PR²
a) PQ² + QR² = PR²
8² + 15² = PR²
PR² = 289
PR = 17 cm
b) PQ² + QR² = PR²
8² + QR² = 10²
64 + QR² = 100
QR² = 36
QR = 6 cm
Answer:
The order pair (4,-5) is <u>NOT </u>a solution of the inequality
Step-by-step explanation:
2)
Plug in to see if the order pair (4,-5) is a solution of the inequality
y - 8 < - 4x
-5 - 8 ? -4( 4)
- 13 > -16
So answer:
The order pair (4,-5) is <u>NOT </u>a solution of the inequality
Answer:
O 30, 36, 42
Step-by-step explanation:
6 = 1 × 6, 12 = 2 × 6, 18 = 3 × 6, 24 = 4 × 6, ? = 5 × 6 = <u>30</u>, ? = 6 × 6 = <u>36</u>, ? = 7 × 6 = <u>42</u>
Answer:
126 apples
Step-by-step explanation:
Let the number of apples picked by Mary=m
Cindy picks 6 times as many as Mary= 6Xm=6m
John picks 8 times as many as Mary= 8Xm=8m
Altogether they picked a total of 135 apples.
m+6m+8m=135
15m=135
m=135/15
m=9
We want to determine how many apples John and Cindy Picked.
John Picked 6m apples
Cindy Picked 8m apples
Their combined total= 6m+8m =14m
Since m=9
14m =14 X9 =126 apples
John and Cindy picked a total of 126 apples
The answer is here
let be L the length of each ramp
so the <span>the length of the entire dog walk, including both ramps is D, such that
</span>D=L + L + d, where d=12ft
L=hypotenus, and sin30° = 4.5ft x L so L= sin30° / 4.5= 1/2x 4.5=2.25ft
D=2.25ft+2.25ft +12ft=16.5ft
