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4 years ago

What do all rational numbers have in common?

Mathematics

1 answer:

NISA [10]4 years ago

5 0

They can be expressed as fractions

they have positive values and can be expressed as terminating decimals.

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The total amount of weight on an elevator cannot exceed 1,800 pounds. a delivery person is on the elevator delivering packages.

HACTEHA [7]

Answer:

p ≤ 8

Step-by-step explanation:

Given the following :

Maximum weight elevator can hold ≤ 1800

Weight of delivery person and packages = 520 pounds

Average weight of a person = 160 pounds

Inequality to show how many additional people elevator can hold?

(weight of delivery person and packages + average weight of persons * number of persons) ≤ 1800

Let p = number of persons

(520 + 160p) ≤ 1800

160p ≤ 1800 - 520

160p ≤ 1280

p ≤ 1280 / 160

p ≤ 8

8 0

4 years ago

Find the exact value of cos(arcsin(1/4)). For full credit, explain your reasoning.

Westkost [7]

First way
arcsin(1/4) means that 1/4 sin of the angle.

sin(α)=1/4
sin²α+cos²α=1
(1/4)²+cos²α=1
cos²α=1-1/16 =15/16
cosα=+/-(√15)/4

<span>Second way
</span>
sin(α)=1/4 =opposite leg/hipotenuse
cos(α)=adjacent leg/hypothenuse
adjacent leg =√(hypotenuse²- Opposite²)=√(16-1)=√15
cosα=+/-√15/4

For one value of sinα, possible 2 values of cosα.

5 0

3 years ago

Can some please help me with this one it would be much appreciated

kherson [118]

πAnswer:

Therefore, the area of a sector of a circle would be 13.5π square units.

Step-by-step explanation:

Given

$r=9$ mi

Ф = 60°

The area of a sector of a circle is:

A = π r² Ф/360

A = π (9)² 60/360

A = π 81 * 1/6

A = 13.5π square units

Therefore, the area of a sector of a circle would be 13.5π square units.

7 0

3 years ago

What are plant like protists

Annette [7]

Answer:

Algae

Step-by-step explanation:

I just know this I don't know if an explanation is needed..

6 0

3 years ago

Nadya has 36 blueberries and 45 raspberries that she will be putting into cups of yogurt to make after-school snacks. She wants

sladkih [1.3K]

Answer:

Using GCF (The Greatest Common Factor) the answer = 9

Step-by-step explanation:

The values 36, 45

Solution by Factorization:

The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36

The factors of 45 are: 1, 3, 5, 9, 15, 45

Both 45 and 36 have factors of 1, 2, 3, and 9

1 is less than 2, so 1 is out

2 is less than 3, so 3 is out

9 is greater than 3, so 3 is out

9 is the greatest!

Therefore, the greatest common factor is 9.

The greatest number of cups Nadya can make is 9 cups.

Hope this helps!

Have a good evening! :)

7 0

4 years ago

Read 2 more answers