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3 years ago

The sides of ADEF are d, e, and f. If the lengths of d = 12 and e = 19, what are the

Mathematics

1 answer:

Paraphin [41]3 years ago

6 0

Answer:

The possible range of values for F are from 8 to 30

Step-by-step explanation:

Here, we have a triangle DEF and we want to get the possible lengths of the third side

To evaluate the possible lengths of the third side , we need to follow a rule

The rule is that, for the third side, the sum of the two other sides must be greater than it

This means that the length should be less than d + e

Mathematically;

f < d + e

f < 12 + 19

f < 31

So it could be 30

It could also range from 30 to 8

This is because if it is less than 8, then the addition to 12 will be less than or equal to 19

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At a pizza Parlour, you can order single, double, triple cheese in the crust. You also have the option to include ham, olives, p

ki77a [65]

Answer:

381 different types of pizza (assuming you can choose from 1 to 7 ingredients)

Step-by-step explanation:

We are going to assume that you can order your pizza with 1 to 7 ingredients.

If you want to choose 1 ingredient out of 7 you have 7 ways to do so.

If you want to choose 2 ingredients out of 7 you have C₇,₂= 21 ways to do so

If you want to choose 3 ingredients out of 7 you have C₇,₃= 35 ways to do so

If you want to choose 4 ingredients out of 7 you have C₇,₄= 35 ways to do so

If you want to choose 5 ingredients out of 7 you have C₇,₅= 21 ways to do so

If you want to choose 6 ingredients out of 7 you have C₇,₆= 7 ways to do so

If you want to choose 7 ingredients out of 7 you have C₇,₇= 1 ways to do so

So, in total you have 7 + 21 + 35 + 35 + 21 +7 + 1 = 127 ways of selecting ingredients.

But then you have 3 different options to order cheese, so you can combine each one of these 127 ways of selecting ingredients with a single, double or triple cheese in the crust.

Therefore you have 127 x 3 = 381 ways of combining your ingredients with the cheese crust.

Therefore, there are 381 different types of pizza.

3 0

3 years ago

Only need to answer question 1 but if you can pls answer both

algol [13]

Use the app photo map

5 0

4 years ago

What is the solution to this equation 1/2n^2+18=0

ololo11 [35]

Answer:

n = ±6 .

Step-by-step explanation:

A quadratic equation is given to us and we need to find out the solution of the given equation . The given equation is ,

$\rm\implies -\dfrac{1}{2}n^2+18=0$

Subtracting 18 both sides ,

$\rm\implies -\dfrac{1}{2}n^2 = -18$

Multiplying both sides by -2 ,

$\rm\implies -2\times\dfrac{1}{2}n^2 = -2\times -18$

On simplyfing , we get ,

$\rm\implies n^2= 36$

Putting squareroot both sides ,

$\rm\implies n= \sqrt{36}$

This equals to ,

$\rm\implies \boxed{\quad\blue{\rm n =\pm 6 }}$

Hence the value of n is ±6 .

6 0

3 years ago

TODAYTHIS WEEKCREDITS$Patricia was setting up a room with tables for an event. The room had9 maple tables, 10 poplar tables, 5 c

prohojiy [21]

As in each table can seat 8 people and the probability you need to find is about the first person you can ignore this data.

Probability that the first person to enter the room will be randomly seated at a maple table:

$P(maple)=\frac{#maple\text{ }tables}{#total\text{ }tables}$

#maple tables: 9

# total tables: 9 +10 +5 +7=31

$P(maple)=\frac{9}{31}$ Then, the probability that the first person to enter the room will be randomly seated at a maple table is 9/31

3 0

1 year ago

Can you help me please ?

rusak2 [61]

Answer:

C. :)

Hope it helps

Step-by-step explanation:

8 0

3 years ago