Use the coordinate grid below to draw a square the has one vertex in each quadrant, and has an area of 16 square units. Prove that your figure has the correct area using distance and area calculations.

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Answer:

[tex]\sf C = 37.7~in.[/tex]

_________

[tex]\sf Steps[/tex]

         [tex]\sf Formula:[/tex]  [tex]\pi d = \pi * diameter[/tex]

_________

[tex]\sf Solve[/tex]

[tex]\pi * d(12) = 37.7~in.[/tex]

Answer:

The exact area is [tex]5\pi[/tex]

Step-by-step explanation:

The area of the major circle is subtracted from the area of the minor circle (blank)

Major circle

[tex]r=\frac{6}{2} =3[/tex]

[tex]A=\pi r^{2} =\pi (3)^{2} =\pi (9)=9\pi[/tex]

Minor circle:

[tex]r=\frac{4}{2} =2[/tex]

[tex]A=\pi r^{2} =\pi (2)^{2} =\pi (4)=4\pi[/tex]

The shaded area:

[tex]9\pi -4\pi =5\pi[/tex]

Hope this helps

Answer:

12 miles

Step-by-step explanation:

[tex]C=\pi d\\37.68=3.14d\\12=d[/tex]

Thus, the diameter of the circle is 12 miles

Answer:

9

Step-by-step explanation:

6 divided by 2 equals 3 then you multiply 3 by 3 which equals 9.

Hope this helps!!!!!!!!!!

Be safe!!!!!!!

Answer:

9 miles

Step-by-step explanation:

Given scale:  2 in = 3 miles

⇒ 1 in = 1.5 miles

If the width of the plot of land is 6 inches, then to calculate the actual width multiply 6 by 1.5:

actual width = 6 × 1.5 = 9 miles

Answer:

the answer of the question is A

Answer:

36

Step-by-step explanation:

4(a+b)-c

4(4)+4(8)=16+32-12

48-12=36

Answer:

3

Step-by-step explanation:

Y intercept when x = 0

F(0) = 3 * 4^(0) = 3 * 1 = 3

Answer:  i believe it is D

Step-by-step explanation:

A = 4.4

B = 4.28

C = -4.5

D = 4.6

Answer:

6000000

Step-by-step explanation:

3(106)+3(106)

=(3)(1000000)+3(106)

=3000000+3(106)

=3000000+(3)(1000000)

=3000000+3000000

=6000000

Answer: Select 2 because its 2 times the volume of cone

Step-by-step explanation:

Answer:

This graph represent a odd function since it has an odd number of degrees  while the others have like 4

f(-x) = -f(x)

Answer:

⅜ is the distance

Hope you found this answer very useful

Answer: 540 cm³

Step-by-step explanation:

    The volume of a rectangular prism can be found with:

V = L * W * H

-> L is the length

-> W is the width

-> H is the height

V = L * W * H

V = 18 cm * 7.5 cm * 4 cm

V = 540 cm³

         The volume is 540 cm³.

Joshua borrowed $2,200 for one year and paid $132 in interest. The bank charged him a service charge of $21. The finance charge on this loan is 6.9%.

Suppose there is an initial amount as P.

The interest, or say charge on it is applied annually as 'C' amount.

Taking how much percent of P is C, we get:

[tex]APR = \dfrac{C}{P} \times 100[/tex]

Given;

Principal =$2,200

interest = $132

Service charge = $21.

To find finance charge we use

Finance charge (FC) = interest + service charge(SC)

= $132 + $21

= $153

Therefore

APR = Finance charge / Principal

= $153 / $2200

= 0.069 or 6.9%

Therefore, The finance charge on this loan is 6.9%.

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Answer:

it would be 59.5

The cost per paint brush is $4 if the Nevaeh pays a total of $24

for two sets of paint brushes, and each set costs the same amount of money and contains three paint brushes.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

We have:

Nevaeh pays a total of $24 for two sets of paint brushes. Each set costs the same amount of money and contains three paint brushes.

The cost for each set = 24/2 = $12

In each sets of paint brushes there are total of 3 brushes which cost $12

So, each brush cost = 12/3 = $4

Thus, the cost per paint brush is $4 if the Nevaeh pays a total of $24

for two sets of paint brushes, and each set costs the same amount of money and contains three paint brushes.

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Answer:

Most 1995 pennies in circulated condition are only worth their face value of $0.01. These coins can only sell for a premium in uncirculated condition. The 1995 penny with no mint mark and the 1995 D penny are each worth around $0.30 in uncirculated condition with an MS 65 grade.

Step-by-step explanation:

hope this helps.

[tex]tan(A)=2sin(A) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{sin(A)}{cos(A)}~~ = ~~2sin(A)\implies sin(A)=2sin(A)cos(A) \\\\\\ sin(A)-2sin(A)cos(A)=0\implies sin(A)[ ~~ 1~~ - ~~2cos(A) ~~ ]=0 \\\\[-0.35em] ~\dotfill\\\\ sin(A)=0\implies A=sin^{-1}(0)\implies A= \begin{cases} 0\\ 180^o\\ 360^o \end{cases} \\\\[-0.35em] ~\dotfill\\\\ 1-2cos(A)=0\implies 1=2cos(A)\implies \cfrac{1}{2}=cos(A) \\\\\\ cos^{-1}\left( \cfrac{1}{2} \right)=A\implies A= \begin{cases} 60^o\\ 300^o \end{cases}[/tex]

[tex]~~~~~~~~~~~~\textit{quadratic formula} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{2}x^2\stackrel{\stackrel{b}{\downarrow }}{-4}x\stackrel{\stackrel{c}{\downarrow }}{-7} \qquad \qquad x= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a} \\\\\\ x= \cfrac{ - (-4) \pm \sqrt { (-4)^2 -4(2)(-7)}}{2(2)} \implies x= \cfrac{ 4 \pm \sqrt { 16 +56}}{ 4 } \\\\\\ x=\cfrac{4\pm 6\sqrt{2}}{4}\implies x=\cfrac{2\pm 3\sqrt{2}}{2}\implies x= \begin{cases} \frac{2\pm 3\sqrt{2}}{2}\\\\ -\frac{2\pm 3\sqrt{2}}{2} \end{cases}[/tex]

Answer:

42$

Step-by-step explanation:

Hope it helps :)

Answer:

(1, 2)

Step-by-step explanation:

Hi there!

We are given two points - (4, 7) and (-2, -3)

We want to find the midpoint between these two points

The midpoint can be found using the formula [tex](\frac{x_1 + x_2}{2}, \frac{y_1+y_2}{2})[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points

We have everything we need to find the midpoint, but let's label the values of the points to avoid any confusion & mistakes

[tex]x_1=4\\y_1=7\\x_2=-2\\y_2=-3[/tex]

Now substitute into the formula

[tex](\frac{x_1 + x_2}{2}, \frac{y_1+y_2}{2})[/tex]

[tex](\frac{4+ -2 }{2}, \frac{7+-3}{2})[/tex]

The pluses can be replaced with minus signs:

[tex](\frac{4 -2 }{2}, \frac{7-3}{2})[/tex]

Now subtract

[tex](\frac{2 }{2}, \frac{4}{2})[/tex]

Divide

(1,2)

The midpoint is (1, 2)

Hope this helps!

Answer:

PQ = 4

Step-by-step explanation:

[tex]tan(30)=\frac{RQ}{8}\\RQ=8tan(30)\\RQ=\frac{8}{3}\\RQ=\frac{8}{3}/3\\HYPOTENUSE=8\\PQ = 4\\[/tex]

Answer:

by 6

Step-by-step explanation:

Isolate x for x + 2y= 11: x= 11- 2y

Substitute x =11 -2y

6(11 - 2y) + 4y = 34|

Simplify

[66 -8y= 34]

Isolate y for 66 - 8y= 34: y =4

For x = 11 - 2y

Substitute y = 4

X= 11-2 x 4

Simplify

X=3

The solutions to the system of equations are:

X=3,y=4

Due to the higher proportion of customers driving less than 5 miles, it would be a likely event at store X.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

For each store, the proportion of customers driving less than 5 miles is given by:

Hence, due to the higher proportion of customers driving less than 5 miles, it would be a likely event at store X.

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Answer:

Step-by-step explanation:

y - 12/3 = 1/3x + 2/3

y = 1/3x + 14/3