Consider that AQRS is similar to ALMN and the measure of ZN is 42°. What is the measure of 2S?

The population of Tinyville is 16. 2 Tinys per acre. Exactly 405 Tinys live in Tinyville. How many acres is Tinyville? Enter onl

crimeas [40]

The area of Tinyville if the population of Tinyville is 405 Tinys while the population density of the Tinyville is 16.2 is 25 Acres.

<h3>What is Ratio?</h3>

A ratio shows us the number of times a number contains another number.

As it is given that the population density of Tinyville is 16.2 Tinys per acre, while the population of Tinyville is 405 Tinys. Therefore, the area of the Tinyville is the ratio of the population of Tinyville to the population density of the Tinyville.

$\text{Area of Tinyville} = \dfrac{\text{Population of Tinyville}}{\text{Population Density of Tinyville}}$

$\text{Area of Tinyville} = \dfrac{405}{16.2} = 25$

Hence, the area of Tinyville if the population of Tinyville is 405 Tinys while the population density of the Tinyville is 16.2 is 25 Acres.

Learn more about Ratio:

brainly.com/question/1504221

6 0

2 years ago

A triangle has two sides of length 20 and 1. What is the smallest possible whole-number length for the third side?

Mashutka [201]

Answer:

Hewo

Step-by-step explanation: Stan BTS

4 0

3 years ago

Does this table represent a function? why or why not? x: 2 3 3 4 5 y: 1 4 3 2 5

gayaneshka [121]

Let's put the chart into ordered pairs:
(x, y)
(2,1)
(3,4)
(3,3)
(4,2)
(5,5)

In bold, we see that there are two y-values at x=3. This means that this relation fails the vertical line test (two points on the same verticle line). This is not a function.

The answer options may be mis-written.
The answer is no, because one x value corresponds to more than one y-value.

7 0

2 years ago

Read 2 more answers

Help? pls i mark brainlest answer

Delicious77 [7]

Answer:

3x-13 = 32 degrees

x= 15 degrees

Step-by-step explanation:

i dont think you need to show work so ill keep this short and simple :)

6 0

2 years ago

Read 2 more answers

A business has two loans totaling $50,000. One loan has a rate of 8% and the other has a rate of 12%. This year, the business ex

Debora [2.8K]

Answer:

the 8% loan has a principal of $37500

the 12% loan has a principal of $12500

Step-by-step explanation:

Let's start by writing the general equation for the interest hwre I is the interest, P is the principal (in our case would be loan amounts), "r" is the interest rate in decimal form (in our case one would be 0.12, and the other one 0.08), and t is the time in years (in our case 1 year).

$I=P*r*t$

Then we write the interest equation coming from each loan at the end of this year (we call I1 the interest coming from the 12% loan and I2 the interest coming from the 8% one). Since we don't know the loan amounts (in fact those are what we need to find) we will name one "x" and the other "y":

$I=P*r*t\\I1=x * 0.12*1\\I2=y*0.08*1$

Next, we add these last two equations term by term, and replace the addition of both interests by $4500 as given in the information:

$I1=x * 0.12*1\\I2=y*0.08*1\\I1+I2 = 0.12x+0.08y\\4500=0.12x+0.08y$

This is our first equation in the variables x and y which are our unknowns.

Now we generate the second equation on x and y by writing in agebraic terms the other piece of information we have: "the total of the two loans is $50000. That is the addition of the principals x and y should equal $50000:

$x+y=50000$

We solve for y in this last equation and replace its form in terms of x in the equation of the interest, and solve for the unknown x:

$y=50000-x\\4500 = 0.12x +0.08 y\\4500=0.12x+0.08(50000-x)\\4500=0.12x+4000-0.08x\\4500=0.12x-0.08x+4000\\4500=0.04x+4000\\4500-4000=0.04x\\500=0.04x\\x=\frac{500}{0.04} =12500$

Therefore the amount of the loan at 12% is $12500

Now to find the amount of the second loan "y" we use the equation for the totals of the loans:

$x+y=50000\\12500+y=50000\\y=50000-12500=37500$

Therefore, the loan at 8% is $37500

5 0

3 years ago