Answer:
Step-by-step explanation:
One-liter and two-liter bottles are the commonest sizes in which soda is sold.
Hi!
<h3>
Your answer is the first option, 0.17.</h3>
To solve this, we will have to do a few things.
- Solve for the area of the triangle
- Solve for the area of the rectangle
- Find what percent the area of the triangle is of the area of the rectangle
<h3><u>
STEP ONE</u></h3>
<u>Area of a triangle:</u> 
Use the given values to plug it into the formula:
The area of the triangle is 12 centimeters squared.
<h3><u>
STEP TWO</u></h3>
<u>Area of a rectangle:</u> 
Use the given values to plug it into the formula:
The area of the rectangle is 70 centimeters squared.
<h3><u>
STEP THREE</u></h3><h3 />
To do this step, we must divide the area of the triangle by the area of the rectangle.
This will give us the percent that the triangle is of the rectangle, and hence will give us the probability of it landing inside of the rectangle.
So:
<em>Therefore, the probability that a point chosen randomly inside the rectangle is in the triangle is 0.17.</em>
Answer:
<u>84 m²</u>
Step-by-step explanation:
Solving : (Formula mentioned in question)
Finding area of base using Heron's Formula :
⇒ s = 5 + 4 + 3 / 2 = 12/2 = 6
⇒ s - a = 6 - 5 = 1
⇒ s - b = 6 - 4 = 2
⇒ s - c = 6 - 3 = 3
⇒ Area = √6 × 1 × 2 × 3
⇒ Area = √36 = <u>6 m²</u>
Finding the Surface Area :
⇒ 2 × 6 + 12 × 6
⇒ 12 + 72
⇒ <u>84 m²</u>
Complete question :
It takes Carol 30 minutes to drive to work using two roads. She drives 24 mph on a small road 1/2 for hour. Then she drives 56 mph on a highway for 1/4 hour. How far does Carol travel to work?
Answer:
26 miles
Step-by-step explanation:
The distance traveled is given by :
Distance = speed * time
Distance covered on small road :
24 mph * 1/2 hours = 12 miles
Distance covered in highway :
56 mph * 1/4 hours = 14 miles
Total miles traveled = 12 + 14 = 26 miles
Answer:
Child tickets sold: 97
Step-by-step explanation:
Step 1: Write out system of equations
5.90x + 9.10y = 1282.10
x + y = 175
Step 2: Rewrite 2nd equation
y = 175 - x
Step 3: Substitution
5.90x + 9.10(175 - x) = 1282.10
Step 4: Distribute
5.90x + 1592.5 - 9.10x = 1282.10
Step 5: Combine like terms
-3.2x + 1592.5 = 1282.10
Step 6: Isolate <em>x</em>
-3.2x = -310.4
x = 97
And we have our final answer!
