Can someone help me please?:)

The base of a triangle is twelvetwelve more than twice its height. if the area of the triangle is 4545 square centimeters, find

mr Goodwill [35]

In order to begin we must start off with the formula for the area of a triangle, which is a=1/2b(h) where a is area, b is base, and h is height.

In this scenario, we know that the area is 45cm^2 and the base is 2h+12 (since it is twice it’s height plus twelve). We can plug this into the area equation and then proceed to solve out accordingly.
a=1/2b(h)
45=1/2(2h+12)(h)
90=(2h+12)(h)
90=2h^2 + 12h
0= 2h^2 + 12h - 90

Simplify by dividing the two out.

h^2 + 6h - 45 = 0.

Now plug into the quadratic formula (with a=1, b=6, and c=-45) as shown in the image below.

After plugging the equation in and solving, we come to the idea that h is roughly equal to 4.34. We can now plug this back into the triangle area formula to solve out for b.
a=1/2b(h)
45=1/2(2h + 12)(h)
45=1/2(20.69)(4.34)
45=45.

In conclusion;
The height is ≈ 4.34
The base is ≈ 8.68

Hope this helps :)

6 0

4 years ago

the population of a town grows at the rate of 3 percent each year in 2010, the town had a population of 250000. what is the popu

Ulleksa [173]

Answer:

335,979 people (in Year 2020)

Step-by-step explanation:

Initial Population (Year 2010) = 250,000

Rate of Growth = 3% = 3/100 = 0.03

We want the population of the town in Year 2020 (at this rate). That is 10 years from now.

The formula for compound growth is:

$F=P(1+r)^t$

Where

F is the future value (in year 2020)

P is the present value (250,000)

r is the rate of increase per year (0.03)

t is the time in years (t = 10)

Lets substitute and find the value:

$F=P(1+r)^t\\F=250,000(1+0.03)^{10}\\F=250,000(1.03)^{10}\\F=335979.09$

Rounded, that would be:

335,979 people (in Year 2020)

4 0

3 years ago

I thought of a number, added 4 5/7 to it, and got the number 12 times as big as my original what was my number

Genrish500 [490]

Let's call the number you thought of n. Then what the two steps you took can be written as an equation:
$n+4\frac{5}{7}=12n$

Subtract n to get all of your variables to one side:
$4\frac{5}{7}=11n$

At this point, I recommend turning your mixed number into an improper fraction. It will make things easier later on:
$\frac{33}{7}=11n$

Now divide both sides by 11 to get the value of n:
$\frac{3}{7}=n$

7 0

4 years ago

Read 2 more answers

Determining Cost of Land

irakobra [83]

The complete question is:

On-Time Delivery Company acquired an adjacent lot to construct a new warehouse, paying $90,000 in cash and giving a short-term note for $50,000. Legal fees paid were $1,750, delinquent taxes assumed were $25,000, and fees paid to remove an old building from the land were $9,000. Materials salvaged from the demolition of the building were sold for $1,000. A contractor was paid $415,000 to construct a new warehouse. Determine the cost of the land to be reported on the balance sheet.

The cost of land to be reported exists at $174,750.

<h3>How to determine the cost of the land to be reported on the balance sheet?</h3>

The cost of land noted in the balance sheet does not only contain the price spent to gain the land but also includes any costs/revenue obtained in the procedures, and activities required to obtain the land to the setting in which it may be prepared for use.

Therefore, except for the price paid which exists at $140,000 ( $90,000 cash and $50,000 short-term note), we have to count up all the applicable expenses including Legal fees, delinquent taxes, Disposal of old building expenditures and remove the material salvaged profit from the destruction of the old building. The construction cost of the new warehouse exists extraneous here as, without this cost, the land exists already in a ready-to-use stage ( i.e: for building a new property on the land)

So, the amount of Cost of land to be reported exists

140K + 1,75K + 25K + 9K - 1K = $174,750.

To learn more about balance sheet refer to:

brainly.com/question/1113933

#SPJ9

8 0

2 years ago

Is 0.032 a terminating decimal

svp [43]

I don’t think it is, sorry I’m not 100% sure, good luck though

3 0

4 years ago