A triangle has a base of 13 cm and legs measuring 20 cm. How wide is the base of a similar triangle with legs measuring 32 cm?

In order to develop a more appealing cheeseburger, a franchise uses taste tests with 9 different buns, 8 different cheeses, 4

Nesterboy [21]

Answer:

8,640 minutes

Step-by-step explanation:

Re-read the question: "How long would it take the test to eat all possible cheeseburgers?"

What are they asking for?

Answer: Total time test all possible burgers

We can break down the answer into a multiplication:

Total time to test all possible burgers =

Time to test each burger x Number of possible burgers

A) Time to test each burger is given - 10 minutes.

B) Number of possible burgers is essentially the total number of combinations of toppings you can have. The order of toppings doesn't matter, so this problem is called a "Combination Problem," as opposed to a "Permutation Problem" which is a problem when order matters.

How do we solve Combination problems?

Just multiply the quantity of each option.

Number of combinations of burger toppings = # bun types x # cheese types x # lettuce types x # tomato types

Number of combinations of burger toppings = 9 x 8 x 4 x 3 = 864

Now plug this into the original equation

Total time to test all possible burgers

= time to test each burger x number of possible burgers

= 10 minutes x 864 possible options

= 8,640 minutes

7 0

4 years ago

NO LINKS!!!!!! NO RANDOM LETTERS FOR POINTS!!!!!!!!!

melomori [17]

Answer: c (17)

Step-by-step explanation:

you move 7 times first than another 7 and then 3. 7 + 7 + 3 = 17

4 0

3 years ago

Read 2 more answers

How many triangles can be constructed with sides measuring 6 cm, 2 cm, and 7 cm?

andriy [413]

Answer:

Option A- One

Step-by-step explanation:

Given that : The sides of the triangle measuring 6cm, 2cm and 7cm.

We are using : Triangle inequality

The sum of the length of the two sides should be greater than the length of the third side.

So, when we apply this theorem in 6cm,2cm and 7cm

6+2=8>7 , 7+2=9>6 , 7+6=13>2

It satisfy all three possible sets.

Therefore, the given values follows the triangle inequality.

Hence one triangle can be formed.

Therefore, option A is correct.

4 0

4 years ago

Read 2 more answers

Lorenzo has a checkbook balance of $118.00. He writes two checks, one for $9.00 and one for $84.25. He then deposits $95.00. Fin

natka813 [3]

Hey there!!
So lets do something I like to call "The Process of Elimination".

D is not correct because 118 -95 is not true! Lorenzo DEPOSITED 95.00 which means he added that amount to his balance and not took it away.

B is incorrect because there is no need to divide , here we are simply either taking away money from his current balance or ,we are adding.

C would be incorrect as well, because recall how i said that 95.00 dollars were "deposited" so he would add 95 , and not take it away.

That leaves us with A . Yay.....but wait, not so fast!
Lets double check shall we?

so he had 118,correct? he wrote a check for 9 dollars and 84.25. Keep in mind, that when someone writes a check, there taking money away from there account, which means subtract 9 and 84.25 from 118.
And then , lets not forget that 95 he deposited.
Deposit means add.

So yes! A is the correct answer!

Hope my explanation helped :)

4 0

4 years ago

Read 2 more answers

Can somebody help me ASAP. I attached a picture.

crimeas [40]

Answer:

½

Step-by-step explanation:

cot(2x) = 1/(tan(2x))

csc(x) = 1/(sin(x))

cot(2x)/csc(x) = sin(x)/tan(2x)

As x --> 0 this fraction is 0/0 which is an indeterminate form.

Using L'Hopital

Derivatives:

sin(x) ---> cos(x)

tan(2x) ---> 2sec²(2x)

cos(x)/(2sec²(2x))

= ½ as x --> 0

8 0

3 years ago