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3 years ago

Tell which number is prime: 39, 69, 89, 90.

Mathematics

2 answers:

zmey [24]3 years ago

6 0

The answer is 89 is a prime number because it has only two distinct divisors: 1 and itself

Sever21 [200]3 years ago

5 0

Answer:

Step-by-step explanation:

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How many cubes with side lengths of 1/3 cm does it take to fill the prism?

user100 [1]

Answer:

The number of cubes that fill the prism is 24

Step-by-step explanation:

Given as :

The length of cube (l) = $\frac{1}{3}$ cm

The length of prism (L) = 1 cm

The width of prism (w) = 2 $\frac{2}{3}$ = $\frac{8}{3}$ cm

The height of prism (h) = $\frac{2}{3}$ cm

Let the number of cubes that fill the prism = x

Now, Volume of cube with length (l) = l³ cm³

Or, Volume of cube with length (l) = $(\frac{1}{3})^{3}$ cm³

Or, Volume of cube with length (l) = $(\frac{1}{27})$ cm³

Again , Volume of prism = $\frac{1}{2}\times Length \times width \times height$

Or, Volume of prism = $\frac{1}{2}\times 1 \times \frac{8}{3} \times \frac{2}{3}$

Or, Volume of prism = $(\frac{8}{9})$ cm³

<u>So , The number of cubes to fill prism </u>

The number of cubes × Volume of cube = Volume of prism

Or, x × $(\frac{1}{27})$ cm³ = $(\frac{8}{9})$ cm³

or x = $\frac{8\times 27}{9}$ = 24

Hence The number of cubes which fill the prism is 24 Answer

8 0

3 years ago

What is the lateral area of this regular octagonal pyramid?

Murrr4er [49]

Answer:

229.7

Step-by-step explanation:

8 * 1/2 * 5.8 * 7 * sqrt(2.)

8 0

2 years ago

Read 2 more answers

Tonisha has a lemonade stand. She has $25 in expenses and wants to make at least $55 per day.

Novosadov [1.4K]

Hello!

Your answer is:

x-31 ≥ 66⇒x ≥ 97!

Hopefully this helps! Please correct me if im wrong! :C

5 0

3 years ago

Ahhh I’m stuck on this one please help

vodomira [7]

Answer:

1.20 ÷ 4 = 0.30 per unit

Please mark as brainliest;)

8 0

2 years ago

Read 2 more answers

Describe the likelihood of the next elk caught being unmarked.

tangare [24]

Using it's concept, it is found that there is a 0.96 = 96% probability of the next elk caught being unmarked.

<h3>What is a probability?</h3>

A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.

In this problem, 5625 - 225 = 5500 elks out of a total of 5625 are unmarked, hence the probability is given by:

p = 5500/5625 = 0.96.

More can be learned about probabilities at brainly.com/question/14398287

#SPJ1

8 0

2 years ago