Answer:
Explanation:
<u>1. Data:</u>
i) Distance traveled by the cars:
ii) Speed of the cars:
iii) Time to arrive at the suburb:
- t₂ - t₁ = 2 hour ⇒ t₂ = t₁ + 2
<u>2. Equations:</u>
time = distance / speed
- t₂ = 480 / v₂
- t₁ = 480 / v₁ = 480 / (v₂ + 20)
t₂ - t₁ = 2 hour
↓ ↓ ↓
480/v₂ - 480/ (v₂ + 20) = 2
<u>3. Solve the equation</u>
480(v₂ + 20) - 480(v₂) = 2 × (v₂ + 20) (v₂)
240(v₂ + 20) - 240(v₂) = (v₂ + 20) (v₂)
240v₂ + 4800 - 240v₂ = (v₂)² + 20v₂
(v₂)² + 20v₂ - 4800 = 0
(v₂ + 80) (v₂ - 60) = 0
v₂ = - 80
v₂ = 60
Only the positive solution has physical meaning:
- v₁ = 60km/h + 20km/h = 80km/h ← answer
Answer: 140%
Step-by-step explanation:
STEP 1: FIND THE CHANGE IN # OF PEOPLE:
initial # of people: 144
final # of people: 346
change in # of people = (final - initial)
change in # of people = (346 - 144)
change in # of people = 202
STEP 2: FIND THE % CHANGE
202/144 = x/100
(100)(202/144) = x
100(1.4) = x
140% = x
Answer:
<h2>
55/7</h2><h2>
</h2><h2>
</h2>
Explanation:
Step 1
Multiply the denominator by the whole number
7 × 7 = 49
Step 2
Add the answer from Step 1 to the numerator
49 + 6 = 55
Step 3
Write answer from Step 2 over the denominator
Answer = 55/7
<h2><u>
I hope you are enjoying your day and that this helps you out! Brainliest would be appreciated :)</u></h2>
Answer:
Triangle x = 30. Pentagon x = 50
Step-by-step explanation:
For the triangle,
Find the angle which is beside x in the triangle,
let's name that angle y, so 55 + 55 + y = 180 ( we find 55 by subtracting both angles 125 from 180)
110 + y = 180
Y = 180 - 110
y = 70
Now that we have find Y, we can easily find x by subtracting 70 from 180 which would be, 70 + X = 180
x = 180 - 70
x = 30
For the pentagon,
Again find the angle which is beside x in the pentagon,
let's name that y again, 90 + 120( by subtracting 60 from 180) + 110( by subtracting 70 from 180) + 90 + y = 540
210 + 200 + y = 540
410 + y = 540
y = 540 - 410
y = 130
Now that we have find y, we can easily find x by subtracting 130 from 180 which would be, 130 + x = 180
x = 180 - 130
x = 50
Hope this helps!
9514 1404 393
Answer:
30°
Step-by-step explanation:
The relationship between triangle sides and angles can be remembered using the mnemonic SOH CAH TOA. Here, we're interested in the relationship involving the hypotenuse and the side opposite the angle:
Sin = Opposite/Hypotenuse
For a ramp 1 m high and 2 m long, we have ...
sin(x) = (1 m)/(2 m) = 1/2
x = arcsin(1/2) = 30°
The elevation angle of the ramp needs to be 30°.
