NEED HELP WITH THIS QUESTION ASAP

djverab [1.8K]

Lets get started :)

The First question:
Diameter = 20 ft
Radius = $\frac{1}{2}$ of 20 (diameter) = 20 ft

Area formula of a circle is
A = $\pi$ r²
= $\pi$ (10)²
=100 $\pi$ ft²
≈ 314 ft²

The answer will be the second option

The Second question:
radius of circle = 12mm divided into 20 sectors area

A = $\pi$ r²
= $\pi$ (12)²
= 144 $\pi$ ft²

Divide into 20 equal sector areas = $\frac{144 \pi }{20} = 7.2 \pi$

≈ 22.6 mm²

Your answer will be the third option

The Third Question:

90°, sector area = 36 $\pi$ , Radius = ?

$\frac{angle}{360} = \frac{sector}{ \pi (r)^2}$
$\frac{90}{360} = \frac{36 \pi }{ \pi r^2}$
$\pi$ and $\pi$ cancels out

We can now cross multiply
360 × 36 = 90r²
12960 = 90r²

Divide by 90 on either side

$\frac{12960}{90} = \frac{90r^2}{90}$
144 = r²

Take squareroot
$\sqrt{144} = x$
x = 12 in

Your answer will be the third option

4 0

3 years ago

In 2015, a company made 2.7×10^11 mailboxes. In 2019, the same company made 3.9×10^12 mailboxes. How many more mailboxes did the

dmitriy555 [2]

Answer:

3,630,000,000,000‬ more (3.93*10^12)

Step-by-step explanation:

2.7*10^11= 270,000,000,000

3.9*10^12= 3,900,000,000,000‬

3,900,000,000,000‬-270,000,000,000=3,630,000,000,000‬

3 0

3 years ago

Choose all that are best modeled by an exponential function. A town with an initial population of 2,000 doubling in size every 1

ad-work [718]

Exponential functions for the following example will be given as follows:
a] A town with an initial population of 2,000 doubling in size every 10 years.
solution:
The exponential function for this example will be:
f(t)=ab^(nt)
where:
a=initial size
b=growth rate
t=time
n=number of terms
thus plugging in our values we obtain:
f(t)=2000(2)^t/10

b]A car rental that cost $20 a day plus $0.05 per mile.
This example will follow a linear equation of the form y=ax+b, where a=rate,
b=constant amount.
From our example:
a=$0.05 per mile
b=20 dollars per day
x=number of miles
Thus the function will be:
f(x)=0.05x+20

c] A bank account with a starting balance of $1,000 compounded annually at 5%.
Here we shall use the compound interest formula to obtain our value:
FV=P(1+r/100)^t
where:
FV=future value
P=principle amount
r=rate
t=time
thus, plugging in our value in the equation we obtain:
P=$1000; r=5%, time=t

f(t)=1000(1+5/100)^t
f(t)=1000(1.05)^t
Hence the function representing the case is:
f(t)=1000(1.05)^t

d] A sugar processing plant producing 2 tons of sugar per month.
This will be modeled using linear function, such that the total will be given by:
f(x)=2x
where:
x is the number of months:
thus the cases that are best modeled by exponential function is:
A and C

7 0

3 years ago

Read 2 more answers

How to solve 9x-2 × 27x=3 <img src="https://tex.z-dn.net/?f=%20%20%7B%20%7B9%7D%5E%7B%7D%20%7D%5E%7B%20x%20-%202%20%7D%20.27%

Soloha48 [4]

Answer:

x = 1

Step-by-step explanation:

Using the rules of exponents

$(a^m)^{n}$ = $a^{mn}$

$a^{m}$ × $a^{n}$ ⇔ $a^{(m+n)}$

Note that 9 = 3² and 27 = 3³ , thus

$9^{x-2}$ × $27^{x}$

= $(3^2)^{x-2}$ × $(3^3)^{x}$

= $3^{2x-4}$ × $3^{3x}$

= $3^{(2x-4+3x)}$

= $3^{5x-4}$ , then

$3^{5x-4}$ = $3^{1}$

Since the bases on both sides are equal, equate the exponents

5x - 4 = 1 ( add 4 to both sides )

5x = 5 ( divide both sides by 5 )

x = 1

6 0

3 years ago

To fill a second pool, Andre uses a second hose so that 8 gallons of water fill the

lana66690 [7]

116\8= 14.5 To fill a second pool, Andre uses a second hose so that 8 gallons of water fill the
pool each minute. If the pool holds 116 gallons of water, how long does he take
to fill the pool?

6 0

3 years ago