A sea lion was swimming at 5 feet below sea level. The number line shows

If the diagonal of rhombus is 40° to one of its side find the angles of the rhombus

tangare [24]

Answer:

Angles of a rhombus equal 360. Bisected adjacent angles are equal. Opposite angles are equal. Same side angles are supplementary

Step-by-step explanation:

One angle is 40, the adjacent bisected angle is also 40. Opposite angles are equal so the opposite angle is 80 degrees (the bisected angles are each 40).

Same side angles are supplementary (add up to 180 degrees) So the supplementary angle of the 80 degree angle is 100 degrees, and its opposite angle is also 100 degrees. The angles of a rhombus add up to 360...80+80=100+100= 360.

6 0

4 years ago

A closed container has 3.06 ⋅ 1023 atoms of a gas. Each atom of the gas weighs 1.67 ⋅ 10–24 grams. Which of the following shows

Alika [10]

The approximate total mass= number of atoms * weight of an atom.

The approximate total mass=3.06 10²³ atoms. (1.67 10⁻²⁴ grams/1 atom)=
=0.51102 g ≈ 0.51 g

Answer: the spproximate total mass is 0.51 grams.

4 0

3 years ago

Read 2 more answers

A home-based sign company uses this function to model its monthly profit, where x is the price of each sign it sells. what is th

SpyIntel [72]

The profit made is $4,460.

What is a profit in business?

In its simplest form, it's the amount left after subtracting your total expenses from your total revenue.
The money remaining, your profits, can either be kept in the business and re-invested to finance future growth, or distributed as a draw or dividends to stakeholders.

The profit model, P(x) = -10x² + 498x - 1,500

Where, x = price per sign sold

If the price per sign sold is $20. Hence, x = $20

The profit made can be calculated thus :

Put x = 20 in the profit function :

P(20) = -10(20)² + 498(20) - 1,500

P(20) = - 10(400) + 9960 - 1500

P(20) = - 4000 + 9960 - 1500

P(20) = $4,460

The profit made is $4,460

Learn more about profit

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4 0

2 years ago

10 x 5 thousands standard form

jeka94

Answer: $10*5,000=50,000$

Step-by-step explanation:

By definition, when you multiply two factors the result is known as "Product".

In this case you have to solve the following multiplication:

$10*5\ thousands$

The first factor is already written in Standard form, but the second one is not written in Standard form.

Then, you need to rewrite it in numbers:

$5\ thousands=5,000$

Therefore, the product is:

$10*5,000=50,000$

3 0

4 years ago

On a particular day, the wind added 5 miles per hour to Alfonso's rate when he was cycling with the wind and subtracted 5 miles

Nata [24]

now, this is pretty much the same as the one before it with Jaime, so I'll do this without much fuss.

recall d = rt.

a = Alfonso's rate

with the wind his speed is a + 5, against it is a - 5, 60 miles with it and 30 miles against it, all in the same time of t hours.

$\bf \begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ &------&------&------\\ \textit{with the wind}&60&a+5&t\\ \textit{against the wind}&30&a-4&t \end{array} \\\\\\ \begin{cases} 60=(a+5)t\implies \frac{60}{a+5}=\boxed{t}\\\\ 30=(a-4)t\\ -------------\\ 30=(a-4)\left( \boxed{\frac{60}{a+5}} \right) \end{cases} \\\\\\ 30(a+5)=(a-4)60\implies 30a+150=60a-240 \\\\\\ 390=30a\implies \cfrac{390}{30}=a\implies 13=a$

8 0

3 years ago