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DiKsa [7]
2 years ago
9

14. Two cars are traveling on two different roads that are perpendicular to each other. On a coordinate

Mathematics
1 answer:
Klio2033 [76]2 years ago
3 0

Answer:

-68/7

Step-by-step explanation:

slope1 of Car 1 that pass (-5,-8) (2,7)

= (y1-y2)/(x1-x2)=(2-(-5))/(7-(-8))=7/15

Slope2 of car 2 that pass (5,1) (10,y)

slope 1 and slope2 are perpendicular =>slope 2 =-15/7

make slope2 y=(-15/7)x+b

for it pass(5,1) => 1=(-15/7)5+b =>b=82/7 => y=(-15/7)x+82/7

put (10,y) in => y=(-15/7) 10+82/7=-68/7

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Matti built a greenhouse in his backyard as shown below
Vanyuwa [196]

well, Matti's house is a triangular prism, and to get the volume of it, we simply get the area of the triangle upfront and multiply by its length of 15.

\bf \stackrel{\stackrel{\textit{area of }}{\textit{triangular front}}}{\cfrac{1}{2}(7)(7)}\times \stackrel{\textit{length}}{15}\implies \cfrac{49}{2}\cdot 15\implies 367.5~ft^3

4 0
3 years ago
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Solve please. Fastest + most accurate answer gets brainliest.
asambeis [7]

Answer:

QPR is 47

Step-by-step explanation:

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4 0
2 years ago
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Convert 2.4 kg into cg. Please show your work.
strojnjashka [21]
The solution to the problem is as follows:

kilo -> 1000 
<span>centi -> 100
 </span>

<span>2.4 x 1000 g = 24 x 100 g. </span>

<span>So, on the left we have 2.4 kg, and on the right we have 24 cg
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I hope my solutions has come to your help. Thank you and have a nice day ahead!
7 0
3 years ago
Lines AB and CD are straight lines. Find x and y. Give reasons to justify your solutions. I need both answers.
Kazeer [188]

Answer:

1) x = 14°, y = 5°

2) x = 18.5°, y = 37°

Step-by-step explanation:

1) ∠AOC and ∠BOD are vertical angles, then ∠BOD = 25°

∠MOD = ∠MOB + ∠BOD = 90°

3x + 23° + 25° = 90°

3x = 90° - 23° - 25°

x = 42°/3

x = 14°

∠LOB = ∠LOM + ∠MOB = 90°

5y + 3x + 23° = 90°

5y = 90° - 23° - 3(14°)

y = 25°/5

y = 5°

2) ∠AOC and ∠BOD are vertical angles, then ∠BOD = 16°

∠EOB = ∠EOD + ∠DOB =  90°

2y + 16° = 90°

y = (90° - 16°)/2

y = 37°

∠DOF = ∠BOF + ∠DOB =  90°

4x + 16° = 90°

x = (90° - 16°)/4

x = 18.5°

4 0
3 years ago
A shirt is originally priced at $19.99. it was marked down 25%. what is the sale price?
Bond [772]

Answer:

Final price: $14.99

Step-by-step explanation:

Discount= original price x discount % / 100

Discount= 19.99 x 25/ 100

Discount= 499.75/100

You save= $4.9975



Final Price= original price - discount

Final price= 19.99 - 4.9975

Final Price= $14.9925

Final Price= $14.99

8 0
3 years ago
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