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
bazaltina [42]
3 years ago
7

What is the perimeter of ABC?Perimeter = ___ units.​

Mathematics
1 answer:
MAVERICK [17]3 years ago
6 0

Answer:

12 units

Step-by-step explanation:

From the given figure,

AB=4 units & BC=3 units

By Pythagoras Theorem, AC^{2} = AB^{2} + BC^{2}

Here, AC^{2} = 4^{2} + 3^{2}

Thus, AC=5 units

Now, perimeter of triangle is equal to the sum of all sides.

Perimeter = AB + BC + AC = 4 + 3 + 5 = 12 units

You might be interested in
Put them in order smallest to largest:<br> 1.32,1.23,1.03,3.21,3.12
dlinn [17]

Answer:

1.03,  1.23,  1.32  3.12,  3.21

4 0
3 years ago
Read 2 more answers
A road sign casts a shadow that is 4 feet long.At the same time a 6 foot man standing next to the sign casts a shadow that is 2.
lawyer [7]
The road sign would be 10ft tall.
3 0
3 years ago
The bill for five hamburgers and four salads is $9.50. The bill for four hamburgers and five salads is $10.30. What would be the
Sunny_sXe [5.5K]

Answer: the bill for a hamburger is $0.7

the bill for a salad is $1.5

Step-by-step explanation:

Let x represent the bill for a hamburger.

Let y represent the bill for a salad.

The bill for five hamburgers and four salads is $9.50. This means that

5x + 4y = 9.5- - - - - - - - - - - - - - 1

The bill for four hamburgers and five salads is $10.30. This means that

4x + 5y = 10.3 - - - - - - - - - - - - - -2

Multiplying equation 1 by 4 and equation 2 by 5, it becomes

20x + 16y = 38

20x + 25y = 51.5

Subtracting, it becomes

- 9y = - 13.5

y = - 13.5/ - 9

y = 1.5

Substituting y = 1.5 into equation 1, it becomes

5x + 4(1.5) = 9.5

5x + 6 = 9.5

5x = 9.5 - 6 = 3.5

x = 3.5/5 = 0.7

7 0
3 years ago
It is known that 50% of adult workers have a high school diploma. If a random sample of 8 adult workers is selected, what is the
son4ous [18]

Answer:

85.56% probability that less than 6 of them have a high school diploma

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they have a high school diploma, or they do not. The probability of an adult having a high school diploma is independent of other adults. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

50% of adult workers have a high school diploma.

This means that p = 0.5

If a random sample of 8 adult workers is selected, what is the probability that less than 6 of them have a high school diploma

This is P(X < 6) when n = 8.

P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{8,0}.(0.5)^{0}.(0.5)^{8} = 0.0039

P(X = 1) = C_{8,1}.(0.5)^{1}.(0.5)^{7} = 0.0313

P(X = 2) = C_{8,2}.(0.5)^{2}.(0.5)^{6} = 0.1094

P(X = 3) = C_{8,3}.(0.5)^{3}.(0.5)^{5} = 0.2188

P(X = 4) = C_{8,4}.(0.5)^{4}.(0.5)^{4} = 0.2734

P(X = 5) = C_{8,5}.(0.5)^{5}.(0.5)^{3} = 0.2188

P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.0039 + 0.0313 + 0.1094 + 0.2188 + 0.2734 + 0.2188 = 0.8556

85.56% probability that less than 6 of them have a high school diploma

7 0
3 years ago
Which answer is correct?
luda_lava [24]

Answer:

The choice 210

Step-by-step explanation:

3{[3(9 - 2)] +[7(8 - 1)] }\\ 3[3(7) + 7(7)] \\ 3[21 + 49] \\ 3[70] \\  = 210

I hope I helped you^_^

4 0
2 years ago
Other questions:
  • Which statement represents the expression 11 (30 + 7)?
    12·1 answer
  • Which linear system of equations does the matrix represent 4 -7 -14 4 -12 4
    10·1 answer
  • in physical education class Sonia walks a distance of 0.12 Mile in one minute at the rate how far can she walk in 9 minutes
    13·2 answers
  • Solve using the Quadratic Formula.
    10·1 answer
  • Customer 1 purchased 4 sweaters and 3 sweatpants for a total of $118
    15·1 answer
  • Help <br><br><br><br><br><br> I need answers
    11·1 answer
  • A= a+b over 2 solving for the variable B
    11·1 answer
  • A group of children were asked if they like eating cupcakes or brownies.
    11·1 answer
  • Math problem help to do this step by step ​
    12·1 answer
  • When a retired police officer passes away, he leaves $325,000 to be divided among his five children and three grandchildren. The
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!