All categories

3 years ago

How many different triangles can you make from 6 cm,6 cm, and 4 cm?

Mathematics

1 answer:

lubasha [3.4K]3 years ago

4 0

Answer:

Step-by-step explanation:

The sides of a triangle are 6cm, 6cm, and 4cm.

According to triangle inequality, the sum of the length of any two sides of a triangle must be greater than the length of the third side.

So,

6+6=12>4

6+4=10>6

4+6=10>6

Therefore, the theorem of triangle inequality is satisfied for all three possible cases. This implies that only one triangle can be constructed with sides measuring 6cm, 6cm, and 4cm.

You might be interested in

The brand manager for a brand toothpaste must plan a campaign designed to increase brand recognition. He wants to first determin

bulgar [2K]

We need to find out how many adults must the brand manager survey in order to be 90% confident that his estimate is within five percentage points of the true population percentage.

From the given data we know that our confidence level is 90%. From Standard Normal Table we know that the critical level at 90% confidence level is 1.645. In other words, $Z_{Critical}=1.645$ .

We also know that E=5% or E=0.05

Also, since, $\hat{p}$ is not given, we will assume that $\hat{p}$ =0.5. This is because, the formula that we use will have $\hat{p}(1-\hat{p})$ in the expression and that will be maximum only when $\hat{p}$ =0.5. (For any other value of $\hat{p}$ , we will get a value less than 0.25. For example if, $\hat{p}$ is 0.4, then $1-\hat{p}=0.6$ and thus, $\hat{p}(1-\hat{p})=0.24$ .).

We will now use the formula

$n=(\frac{Z_{Critical}}{E})^2\hat{p}(1-\hat{p})$

We will now substitute all the data that we have and we will get

$n=(\frac{1.645}{0.05})^2\times0.5(1-0.5)$

$n=(32.9)^2\times0.25$

$n=270.6025$

which can approximated to n=271.

So, the brand manager needs a sample size of 271

3 0

3 years ago

Can all quadrilaterals be inscribed in a circle? Explain

-BARSIC- [3]

Depends of the size of the quadrilateral in relation to the circle, but otherwise, yes

3 0

3 years ago

Expand and simplify 3(2a+5)+5(a-2)

Wittaler [7]

Step 1 (3* (2a+5)) + 5 *(a-2)
Step 2 <span>3 • (2a + 5) + 5 • (a - 2)
</span>Step 3 final result and your anwser
11a+5
Hope it helped if it did it that tanks button for me tanks

3 0

3 years ago

Read 2 more answers

A charity organization had to sale 18 tickets to their fundraiser Just to cover necessary production cost.They sold each ticket

Harman [31]

A charity organization had to sale 18 tickets to their fundraiser Just to cover necessary production cost.They sold each ticket for $45.Let y represent the net profit in dollars when they have sold x tickets

Which of the following information about the graph of the relationship is given?

Choose 1 answer:

Slope and x-intercept

Slope and y-intercept

Slope and a point that is not an intercept

x-intercept and y-intercept

y-intercept and a point that is not an intercept

Two points that are not intercepts

Answer:

A. Slope and x-intercept

Step-by-step explanation:

We are told that each Ticket cost $45 , so the number of ticket sold should be multiplied by the cost of 1 ticket , Also; we were informed that x tickets were sold, this implies that the amount will be $45 multiplied by x , which is $45x. To find the profit (y) , then we must find the cost of 18 tickets which will give us the cost price and then subtract it from the selling price ($45x).

NOW:

Given that :

a charity organization had to sell 18 tickets

and one ticket cost for $45

Then 18 tickets = $45 × 18 = $810

Let y represent the net profit in dollars when they have sold x tickets

So : y = 45 x - 810

Relating the above equation with equation of a straight line y = mx +c ,

where :

m and c = the numbers on the gradient line ; &

y = slope

x = intercept where the graph crosses y - axis

Thus; the information given is the :Slope and x-intercept

8 0

3 years ago

In a graduating class with the same number of boys and girls, 1/8 of the girls and 5/6 of the boys are honor students. What part

Lunna [17]

1 out of 6 students are not honor students

4 0

3 years ago