All categories

3 years ago

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

The amount of money in an account may increase due to rising stock prices and decrease due to falling stock prices. Marco is stu

Mashcka [7]

The account that recorded a greater percentage change in amount of money over the previous year is year 4

<h3>Part A: Is the amount of money in account A increasing or decreasing?</h3>

The exponential function is given as:

f(x) = 9628 * (0.92)^x

An exponential function is represented as:

f(x) = ab^x

If b is less than 0, then the function is an increasing function.

So, the function f(x) = 9628 * (0.92)^x is a decreasing function.

The percentage of decrement is then calculated as:

r =1 - b

This gives

r = 1 - 0.92

Evaluate

r = 0.08

Express as percentage

r = 8%

Hence, the percentage of decrement is 8%

<h3>Part B: The account that recorded a greater percentage change in amount of money over the previous year</h3>

r 1 2 3 4

g(r) 8,972 8,074.80 7,267.32 6,540.59

As a general rule:

As the number of years increases, the percentage change increases

Hence, the account that recorded a greater percentage change in amount of money over the previous year is year 4

Read more about exponential functions at:

brainly.com/question/2456547

#SPJ1

3 0

2 years ago

We expect that students who do well on the midterm exam in a course will usually also do well on the final exam. Gary Smith of P

dybincka [34]

Using the model equation, the predicted mean score on the final given a score of <em>10 points above the class mean</em> in the mid term exam is 50.7

<u>The Least - Square Regression equation which models the relationship between midterm and final exam score is</u> :

γ=46.6 + 0.41x

x = 10 points ; <u>substitute the value of x = 10 into the regression equation</u> ;

γ=46.6 + 0.41(10)

γ=46.6 + 4.1

γ = 50.7

The <em>number of points above the mean</em> he'll score in the final exam is predicted to be 50.7

Learn more :brainly.com/question/18405415

7 0

3 years ago

Please help with this Piecewise problem!!

tino4ka555 [31]

Remark

That was well worth doing. Desmos gave you the answer to the graph. Unfortunately I can only give you the correct graph. You will have to figure out from the choices which one is the correct answer -- or edit it so I can see what the rest of the question is.

Graph

The red one is f(x) is x + 3 {x <= -2}

The blue one is f(x) is x^2 - 1 {-2 <x <1} Notice the gap at 2. It is not continuous

The green one is f(x) is log_2(-x + 3) {1 <=x < 3} and there is a gap between the blue and green one.

4 0

3 years ago

g Recall the example about community college students and gender. Statistics students surveyed 135 students at Tallahassee Commu

bixtya [17]

Answer:

They can either decrease the confidence level or increase the sample size, that is, survey more students.

Step-by-step explanation:

The width of a confidence interval is given by:

$M = z*\frac{\sigma}{\sqrt{n}}$

In which z is the critical value correponding to the confidence level(higher confidence level, higher z is), $\sigma$ is the standard deviation of the population and n is the size of the sample.