Ask question

Ask question

All categories

3 years ago

12

Elena is trying to draw a triangle with side lengths of 4 inches and 3 inches what could be the length of the third side in orde

r for Elena to be able to draw her triangle.

1 answer:

earnstyle [38]3 years ago

4 0

Elena should put a point where the two circles intersect and draw line segments connecting that point to points A and B to finish her triangle.

You might be interested in

camerina started work at 9am and left at 230 pm how many hours of work should she record on her time card for the day

Troyanec [42]

I believe that she should record 5.5 hours.

7 0

3 years ago

Read 2 more answers

Tim must read 2 books from a list of 7 recommended books for his summer reading program. In how many different ways can Tim choo

Marianna [84]

There are 21 ways Tim choose 2 books from the 7 recommended book

<em><u>Solution:</u></em>

Given that Tim must read 2 books from a list of 7 recommended books for his summer reading program

To find: different ways can Tim choose 2 books from the 7 recommended books

This is a combination problem

A combination is a selection of all or part of a set of objects, without regard to the order in which objects are selected

<em><u>The formula for combinations is:</u></em>

$n C_{r}=\frac{n !}{r !(n-r) !}$

where n represents the number of items, and r represents the number of items being chosen at a time

Here we have to choose 2 books from 7 books

Therefore, n = 7 and r = 2

<em><u>Substituting values in above formula, we get</u></em>

$\begin{aligned}&7 C_{2}=\frac{7 !}{2 !(7-2) !}\\\\&7 C_{2}=\frac{7 !}{2 ! \times 5 !}\end{aligned}$

For a number n, the factorial of n can be written as,

$n !=n \times(n-1) \times(n-2) \dots \dots \times 2 \times 1$

Therefore, we get

$7 C_{2}=\frac{7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1}{2 \times 1 \times 5 \times 4 \times 3 \times 2 \times 1}\\\\7C_2 = 7 \times 3 = 21$

Thus there are 21 ways Tim choose 2 books from the 7 recommended book

7 0

3 years ago

Thomas made 8700 ml of tomato soup.he packed 1.6L of the soup in his kids lunches .he then froze half of the remaining soup.

kenny6666 [7]

Answer: 3550

Step-by-step explanation:

1.6L equals 1600mL

8700-1600=7100 remaining

7100 divided by 2 = 3550

7 0

3 years ago

What is 2.8 as a fraction in simplest form

irina1246 [14]

2.8 = 2 + 0.8

*let's analyze the decimal 0.8 as a fraction

0.8 = 8/10

*but if we divide the numerator and denominator by the same common factor of 2, we find that the fraction can be reduced to:

(8/2)/(10/2) = (4)/(5) = 4/5

*now evaluating the whole value of 2 (from the 2.8), we know there are a total of (5) - fifths in order to make a whole, so for 2 whole, we require:

2*(5/5) = (2*5)/5 = 10/5

*Now we add the fractions together:

2 = 10/5
0.8 = 4/5

10/5 + 4/5

*add numerators only, the denominator stays as a 5

(10 + 4)/5 = 14/5

*there are no common factors between 14 & 5 (other than 1, but that won't help reduce the fraction any), so the fraction is in it's simplest form:

answer is: 14/5

8 0

3 years ago

Read 2 more answers

The half-life of a certain radioactive material is 36 days. An initial amount of the material has a mass of 487kg. Write an expo

Lubov Fominskaja [6]

Answer:

442.302 kg

Step-by-step explanation:

amount = 487 (1/2)^(t/36) where t is the number of days.

if t = 5

amount = 487(.5)^(5/36)

= 442.302 kg

4 0

2 years ago