1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Margaret [11]
3 years ago
15

A rectangular board has an area of 648 square centimeters. The triangular part of the board has an area of 162 square centimeter

s. A dart is randomly thrown at the board. A triangle is inside of a rectangle. The height of the triangle is the same as the height of the rectangle. Assuming the dart lands in the rectangle, what is the probability that it lands inside the triangle?
Mathematics
2 answers:
maksim [4K]3 years ago
7 0

Answer:

25%.

Step-by-step explanation:

Let E be the event that the dart lands inside the triangle.

We have been given that a rectangular board has an area of 648 square centimeters. The triangular part of the board has an area of 162 square centimeters.

We know that probability of an event represents the chance that an event will happen.

\text{Probability}=\frac{\text{Favorable no. of events}}{\text{Total number of possible outcomes}}

\text{Probability that dart lands inside the triangle}=\frac{\text{Area of triangle}}{\text{Area of rectangle}}

\text{Probability that dart lands inside the triangle}=\frac{162}{648}

\text{Probability that dart lands inside the triangle}=0.25

Convert into percentage:

0.25\times 100\%=25\%

Therefore, the probability that dart lands inside the triangle is 25%.

Marrrta [24]3 years ago
7 0

Answer:

25%

Step-by-step explanation:

You might be interested in
Determine the equations of the vertical and horizontal asymptotes, if any, for f(x)=2x/x+4
lesya [120]

ANSWER

Vertical asymptote: x=-4

Horizontal asymptote: y=2

EXPLANATION

The given equation is

f(x) =  \frac{2x}{x + 4}

The vertical asymptote is determined by equating the denominator to zero and solve for x.

x + 4 = 0

The equation of the vertical asymptote is

x =  - 4

The numerator has the same degree as the denominator.

The equation of the horizontal asymptote is the coefficient of the leading term in the numerator expressed over the coefficient of the leading term in the denominator.

y =  \frac{2}{1}

y=2

5 0
3 years ago
The ratio of boys to girls in a class is 2:3. there are twelve boys in the class. how many girls are there
gogolik [260]
The answer is 18

Solution: 2:3 2x6=12
3x6=18
Hope this help
4 0
3 years ago
8 of 10
Naya [18.7K]

Answer:

2.

Step-by-step explanation:

To find the answer, we take Gordon's result, 3, and subtract 2, which is what he added to get 3. This gives us a result of 1. We then multiply by 2, as 1 was the quotient of dividing the original number by 2. This leaves us with an answer of 2.

7 0
3 years ago
The monthly cost of driving a car depends on the number of miles driven. Lynn found that in May it cost her $420 to drive 500 mi
djyliett [7]

Answer:

C(d) = \frac{1}{5}d + 320

Step-by-step explanation:

Given

d \to miles

C \to cost

So:

(d_1,C_1) = (500,420) --- May

(d_2,C_2) = (620,444) --- June

Required

Express as a function

Start by calculating the slope (m)

m = \frac{\triangle C}{\triangle d}

m = \frac{444-420}{620-500}

m = \frac{24}{120}

Simplify

m = \frac{1}{5}

The equation is:

C(d) = m(d - d_1) +C_1

C(d) = \frac{1}{5}(d - 500) +420

C(d) = \frac{1}{5}d - 100 +420

Take LCM

C(d) = \frac{1}{5}d + 320

6 0
2 years ago
Your parents have decided to buy a new Toyota 4Runner for 25,635. According to the dealer, the car will depreciate in value appr
chubhunter [2.5K]
Let the value of the car be represented by V and the amount of years by y. 
This gives us the following formula:
V = 25,635 - 3000y
(This is because we start with a value of $25,635 and the value decreases by $3,000 every year 'y')

Now, we want to know when the car is worth $3,135, so we know V = 3,135
Now we can make up our equation:
25,365 - 3,000y = 3,135

Collecting terms gives us:
-3,000y = -22,500

Finally we divide by -3,000 to find 'y'
y = -22,500 / -3,000 = 7.5

Hence, the car will be worth $3,135 after 7.5 years.
8 0
3 years ago
Read 2 more answers
Other questions:
  • Of 350 students polled, some have a cat, some have a dog, and some have both. One hundred seventy-five students have a cat and 1
    8·1 answer
  • How many feet are in 3 miles?
    15·1 answer
  • the graph depicts Jacque's monthly supply of tuna. Suppose the price of tuna rises from $8 per round to $14 per round use the ar
    15·1 answer
  • Slove x^2-8x=20 by completing the square. which is the solution set of equation?​
    5·1 answer
  • Factor completely 3x^2 + 5x + 1. (3x + 1)(x + 1) (3x + 5)(x + 1) (3x − 5)(x + 1) Prime
    8·2 answers
  • (5x-3y,3x-y)=(16,12)​
    11·1 answer
  • Please help<br> (a figure is made up of a square and two semicircles)
    5·1 answer
  • Which of the following is the graph of y = 0.5 sec (X +pi/3 ) -2
    9·1 answer
  • Sorry to ask this late on Friday but stuck at home without a calculator Plllleeeaaassseee Hep me!!!!!!!!!!!!!!!!!!!!!!
    15·2 answers
  • IMAGE BELOW I WILL MARK BRAINIEST
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!