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
umka21 [38]
3 years ago
12

The area of triangle ABC is?

Mathematics
1 answer:
melisa1 [442]3 years ago
5 0

Answer:

A(\triangle ABC) =17.5 \:  {units}^{2}

Step-by-step explanation:

AB = 4 - (-3) = 4 + 3 = 7 units

BC = 3 - (-2) = 3 + 2 = 5 units

A(\triangle ABC) = \frac{1}{2} \times AB\times BC \\  \\ A(\triangle ABC) = \frac{1}{2} \times 7\times 5 \\  \\ A(\triangle ABC) = \frac{1}{2} \times 35 \\  \\ A(\triangle ABC) =17.5 \:  {units}^{2}

You might be interested in
A theater seats 1,000 people. When Jeremy arrives there are 673 empty seats Jeremy is followed by a group of 145 people.how many
kozerog [31]
There will be 181 seat left once Jeremy and the group seat down
7 0
3 years ago
Read 2 more answers
I need the answer to this question
Iteru [2.4K]

Answer:

A B D E F G

Step-by-step explanation:

Integer is a whole number (not a fraction)

4 0
3 years ago
Read 2 more answers
Which is the minimum or maximum value of the given function? a. The function has a minimum value of -2 b. The function has a min
Alex17521 [72]

Answer:

The function f(x) is not given, I used a different function but the approach and steps is the same .

Step-by-step explanation:

  • Given the function f(x) = 2x2 - 8x + 5

compare with the normal quadratic equation ; ax2 + bx + c = f(x)

  • a = 2, b = -8 and c = +5
  • since a is greater than zero i.e a > o {positive}

As such, it has a minimum

hence for minimum value; x = -b/2a

x = -(-8)/2 x 2

x = 8/4 = 2

plugging the values of x in f(x) ; f(2) = 2(2)^2 -8(2) + 5

f(2) = -3, hence it has minimum value and the minimum value is -3

3 0
4 years ago
A mouse is trapped in a maze. To find his way out he walks 10 m, makes a 90° right turn, walks 5 m, makes another 90°, and walks
zimovet [89]

5.8m

use Pythagoras Theorem

4 0
3 years ago
You are given the sample mean and the population standard deviation. Use this information to construct the​ 90% and​ 95% confide
FrozenT [24]

Question:

You are given the sample mean and the population standard deviation. Use this information to construct the​ 90% and​ 95% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals. If​ convenient, use technology to construct the confidence intervals. A random sample of 45 home theater systems has a mean price of ​$114.00. Assume the population standard deviation is ​$15.30. Construct a​ 90% confidence interval for the population mean.

Answer:

At the 90% confidence level, confidence interval = 110.2484 < μ < 117.7516

At the 95% confidence level, confidence interval = 109.53 < μ < 118.48

The 95% confidence interval is wider

Step-by-step explanation:

Here, we have

Sample size, n = 45

Sample mean, \bar x = $114.00

Population standard deviation, σ = $15.30

The formula for Confidence Interval, CI is given by the following relation;

CI=\bar{x}\pm z\frac{\sigma}{\sqrt{n}}

Where, z is found for the 90% confidence level as ±1.645

Plugging in the values, we have;

CI=114\pm 1.645 \times \frac{15.3}{\sqrt{45}}

or CI: 110.2484 < μ < 117.7516

At 95% confidence level, we have our z value given as z = ±1.96

From which we have CI=114\pm 1.96 \times \frac{15.3}{\sqrt{45}}

Hence CI: 109.53 < μ < 118.48

To find the wider interval, we subtract their minimum from the maximum as follows;

90% Confidence level: 117.7516 - 110.2484 = 7.5

95% Confidence level: 118.47503 - 109.5297 = 8.94

Therefore, the 95% confidence interval is wider.

8 0
3 years ago
Read 2 more answers
Other questions:
  • Can someone please help me!!
    8·2 answers
  • A bank wishes to invest a $100, 000 trust fund in three sources: bonds paying 8%; certificates of deposit paying 7%; and first m
    6·1 answer
  • Write the fraction in simplest form 4/12
    7·1 answer
  • 1) the cost of a charm bracelet is $12 without the charms. There is an additional cost of $6 for each charm added to the bracele
    7·1 answer
  • Multiply and answer in scientific notation:
    5·1 answer
  • Use the pi key on a scientific or graphing calculator to compute the percent of error of the approximation of pi, 3.14, to the v
    5·1 answer
  • So how do I do this?
    6·1 answer
  • Algebra <br>factorize <br>a4 - 3a2b2 + b4​
    7·1 answer
  • I will give u brainliest please help
    10·1 answer
  • Type your answer into the box,
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!