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
Ber [7]
3 years ago
10

Which of the following statements about perpendicular lines is true?

Mathematics
1 answer:
sammy [17]3 years ago
5 0
The statement Perpendicular line intercept at 90 degree angle is true.
You might be interested in
suppose you have a dime, two pennies, and a quarter. one of the pennies was minted in 1976, and the other one was minted in 1992
notsponge [240]

The reason that the answers in part (a) and part (b) are not the same is because Q1 and Q2 are treated as two different coins in part (a) whereas they are effectively treated as the same coin in part (b). The reason they are treated as one coin is because they both contribute the same amount to the sum of money.

<h3>How to Solve Counting Problems?</h3>

A) If you choose at least one coin, this means you could choose 1, 2, 3 or 4 coins. Let us label the dime as D, the penny as P, the quarter minted in 1976 as Q1 and the quarter minted in 1992 as Q2.

Now, if you choose one coin, you could choose either D, P, Q1, or Q2. This gives us 4 possible sets.

If you choose two coins, you choose the following sets of coins: DP, DQ1, DQ2, PQ1, PQ2, Q1Q2. This gives us 6 possible sets.

If you choose three coins, you could the following sets of coins: DPQ1, DPQ2, DQ1Q2, PQ1Q2. This gives us 4 possible sets.

If you choose four coins, you can only choose DPQ1Q2. This gives us 1 possible set.

Therefore, the total number of different sets of coins you can form is 4 + 6 + 4 + 1 = 15 different sets of coins can be formed.

b) If you choose at least one coin, this means you could choose 1, 2, 3 or 4 coins.

If you choose one coin you could choose either D, P, Q1, or Q2. However, since Q1 and Q2 give us the same sum, they are effectively the same set. This gives us 3 possible sums (ten cents, one cent, or twenty-five cents.)

If you choose two coins, you could choose the following sets of coins (since Q1 and Q2 are the same coin value, we can say Q for any instance where either one of these coins would be a possibility): DP, DQ, PQ, Q1Q2. This gives us 4 possible sums (11 cents, 35 cents, 26 cents, or fifty cents.)

If you choose three coins, you could choose the following sets of coins (since Q1 and Q2 are the same coin value, we can say Q for any instance where either one of these coins would be a possibility): DPQ, DQ1Q2, PQ1Q2. This gives us 3 possible sums (36 cents, 60 cents, or 51 cents).

If you choose four coins, you can only choose DPQ1Q2. This gives us 1 possible sum (61 cents.)

Therefore, the total number of different sums of coins you can form is 3 + 4 + 3 + 1 = 11 different sums of money can be produced.

c) The reason that the answers in part (a) and part (b) are not the same is because Q1 and Q2 are treated as two different coins in part (a) whereas they are effectively treated as the same coin in part (b). The reason they are treated as one coin is because they both contribute the same amount to the sum of money.

Read more about Counting Problems at; brainly.com/question/13875198

#SPJ1

3 0
2 years ago
You are a contractor and charge $45 for a site visit plus an additional $24 per hour for each hour you spend working at the site
tino4ka555 [31]

Answer:

Equation: 810= (90 + 24y)

y = 30 hours

Step-by-step explanation:

Given:

Site visit = $45 per site

cost per hour worked = $24

for <u>each </u>work site, the total amount of money earned

= site visit fee + cost for working

But the question mentions TWO sites, hence there will be two site visits. Therefore for TWO sites, we have to account for TWO site visit fee.

Therefore for TWO sites, the total amount of money earned

= site 1 visit fee + site 2 visit fee + cost for working

= (2 x site visit fee) +  cost for working  ------ Equation 1

We are further given that we worked y hours at the hourly work rate of $24 per hour.

Hence the cost for working

= y hours x hourly rate

= y   x   $24

= $24y   (substituting this into equation 1 above)

for TWO sites, the total amount of money earned

= (2 x site visit fee) +  cost for working

= (2 x $45) +  $24y

= $90 + $24y

= $(90 + 24y)

We are also given that we have to earn $810 for two sites, hence

810 = 90 + 24y    

810 - 90 = 24y

24y = 720

y = 720/24

y = 30 hours

8 0
3 years ago
10 squared divided by 2c -b + 3a<br><br> A = 1/3<br> B= 9<br> C = 5
Svet_ta [14]

Answer:

50

Step-by-step explanation:

Figure out all variables

100/(2x5= 10)-9+(3x.33=1)

100/10-9+1

100/2

50

8 0
3 years ago
33 1/3% of 360 please help I don’t understand
Mars2501 [29]

Answer:

33 1/3% of 360 is 120

Step-by-step explanation:

33 1/3 can be converted to 33.333% or simply just 1/3, divide 360 by 3 to get your answer which is 120.

3 0
3 years ago
Read 2 more answers
During 2002, the average person ate 200.8 pounds of meat. How much meat does a family of 3 people eat in year?
dem82 [27]
Hi there! An average person ate 200.8 pounds of meat, so we would multiply that number by 3 to see how much meat the family ate altogether. 200.8 * 3 is 602.4. There. A family of 3 would eat 602.4 pounds of meat in a year.
4 0
3 years ago
Read 2 more answers
Other questions:
  • Which statement best describes the line?
    9·1 answer
  • What is the slope of the line with equation <br>-3x+6y=12
    12·2 answers
  • Janet wants to solve the equation above, what should she multiply by both sides of this equation by
    12·2 answers
  • Savannah loves predicting the weather. It has been record hot temperatures all week. she is predicting that the weather temperat
    11·1 answer
  • The value of y varies directly with x, and y = 1 when x = 3. Find y when x = 18. A. 9 B. 3 C. 6 D. −2
    15·1 answer
  • PLEASE HELP ME FAST IM SO DUMB I NEED IT SO FAST PLEASEEEE
    7·1 answer
  • Part A: Write an algebraic expression for 8 more than 5 times a number.
    11·2 answers
  • Which function is graphed below?
    5·1 answer
  • Please help asap!! :)
    14·1 answer
  • PLEASE HELP!!!!!! <br> please please!!!!
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!