A United States flag is sometimes folded into a triangle shape and displayed in a triangular display case. If a display case has dimensions shown in inches, write a polynomial expression that represents the area of wall space covered by the display case.

Answer:

Ratio of circumferences: [tex]\displaystyle\frac{1}{4}[/tex]

Ratio of radii: [tex]\displaystyle\frac{1}{4}[/tex]

Ratio of areas: [tex]\displaystyle\frac{1}{16}[/tex]

Step-by-step explanation:

Hi there!

We are given:

- The circumference of Circle K is [tex]\pi[/tex]

- The circumference of Circle L is [tex]4\pi[/tex]

Therefore, the ratio of their circumferences would be:

[tex]\displaystyle\frac{\pi}{4\pi}[/tex] ⇒ [tex]\displaystyle\frac{1}{4}[/tex] when simplified

The formula for circumference is [tex]C=2\pi r[/tex], where r is the radius. To find the ratio of the circles' radii, we must identify their radii through their given circumferences.

If the circumference of Circle K is [tex]\pi[/tex], or [tex]1\pi[/tex], then its radius is [tex]\displaystyle\frac{1}{2}[/tex].

If the circumference of Circle L is [tex]4\pi[/tex], then its radius is [tex]\displaystyle\frac{4}{2}[/tex], which is 2.

Therefore the ratio their radii would be:

[tex]\displaystyle\frac{\frac{1}{2}}{{2}}[/tex] ⇒ [tex]\displaystyle\frac{1}{2}*\frac{1}{2}[/tex] ⇒ [tex]\displaystyle\frac{1}{4}[/tex] when simplified

The formula for area is:

[tex]A=\pi r^2[/tex]

First, let's find the area of Circle K:

[tex]A=\pi (\displaystyle\frac{1}{2})^2\\\\A=\displaystyle\frac{1}{4}\pi[/tex]

Now, let's find the area of Circle L:

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

Therefore, the ratio of their areas would be:

[tex]\displaystyle\frac{\frac{1}{4}\pi}{4\pi}[/tex] ⇒ [tex]\displaystyle\frac{\frac{1}{4}}{4}[/tex] ⇒ [tex]\displaystyle\frac{1}{4} * \frac{1}{4}[/tex] ⇒ [tex]\displaystyle\frac{1}{16}[/tex] when simplified

I hope this helps!

Answer:

41

Step-by-step explanation:

divide by 4

Answer:

So your best bet is everyone is equally eligible although I dont really know wait for other answers

Step-by-step explanation:

Answer:

soln

here,

area of a rectangle =70cm *

breadth = 7m

we know,

area (a)=l×b

70=l×7

70=7l

70÷7=l

10=l

therefore, itslength is 10m

again,

perimeter (p)=2(l+b)

=2(10+7)

=2×17

=34cm

therefore, its perimeter is 34cm.

Answer:

#5 more info is needed. #6 is a CD.

Step-by-step explanation:

#5 doesn't have the appropriate values given which in this case is how much money. #6 is most likely a CD because they tend to have bigger interest rates, unless if you needed to access it. If you needed to access this money, a savings account would most likely give you the best interest rates.

Answer:

18

Step-by-step explanation:

divide 22.50 by 1.25 to get the number of rides.

Using linear functions, it is found that:

A linear function is modeled by:

[tex]y = mx + b[/tex]

In which:

Paisley is 315 miles away from the stadium, and driving at a speed of 42 miles per hour, hence for the linear equation for his distance after t hours, we have that:

m = -42, b = 315, then:
P(t) = 315 - 42t.

Damian is 383 miles away from the stadium, and driving at a speed of 59 miles per hour, hence for the linear equation for his distance after t hours, we have that:

m = -59, b = 383, then:

D(t) = 383 - 59t.

After 5 hours, their distances are:

P(5) = 315 - 42(5) = 105

D(5) = 383 - 59(5) = 88

D(5) < P(G), hence Damian is closer to the stadium 5 hours after noon.

More can be learned about linear functions at https://brainly.com/question/24808124

Answer:

x = 25

Step-by-step explanation:

Use Pythagoras' Theorem [tex]a^s+b^2=c^2[/tex]

where a and b are the legs and c is the hypotenuse of a right triangle

[tex]\implies 7^2+24^2=x^2[/tex]

[tex]\implies 49+576=x^2[/tex]

[tex]\implies 625=x^2[/tex]

[tex]\implies x=\sqrt{625}[/tex]

[tex]\implies x=\pm25[/tex]

[tex]\implies x = 25[/tex] only, as distance is positive

Use Pythagorean theorem

[tex]\\ \rm\longmapsto x^2=24^2+7^2[/tex]

[tex]\\ \rm\longmapsto x^2=576+49[/tex]

[tex]\\ \rm\longmapsto x^2=625[/tex]

[tex]\\ \rm\longmapsto x=25[/tex]

Answer:

80cm

Step-by-step explanation:

8 x 6/4 = 20

20 x 4 = 80

Answer:

0.5

Step-by-step explanation:

Hannah is in labor, she is 8 centimeters dilated. Shown in the diagram. Now, the perimeter of her puhtay and her child's head are 6/4. The fatctor of this is square b. Not a. To make Hannah's labor smooth, we need to figure out how much more she needs to dilate. since she is 8 centimeters, and the baby's head is 6/4. she will need 3 more centimeters until it is able to come out correctly. I hope this answered your question!! would love to answer more.

:)

Answer:

f(0)=2

Step-by-step explanation:

f(x)=-3x +2

f(0)=-3(0) +2

f(0)= 0 +2

f(0)=2

Let's write the equation in standard from

[tex]y = mx + b[/tex]

Where,

[tex] \boxed{ \sf \: m = \frac{ y_{2} - y_{1} }{ x_{2} - x_{1}}}[/tex]

[tex] \tt \: m = \frac{13 - 12}{1 - 0} [/tex]

[tex] \tt \: m = \frac{1}{1} [/tex]

[tex] \tt \: m = 1[/tex]

[tex] \sf \: y = 1x + 12[/tex]

Solution:

Step-1: Create a coordinate plane.

Step-2: Plot the points on the graph.

Step-3: Choose any two points on the graph.

Step-4: Find the slope of the line by using y₂ - y₁/x₂ - x₁.

Step-5: Find the y-intercept.

Step-6: Revise the equation created.

Hoped this helped!

Answer:

D

Step-by-step explanation:

y=mx+b (line equation)

m=(y2-y1)/(x2-x1) (slope formula)

insert the coordonates

m=(6--6)/(1--3) find the slope

m=12/4m=3 after fiinding the slope you can substitute x and y and find b

y=3x+b

(1,6)

6=3*1+b

6=3+b

b=3

y=3x+3

Step-by-step explanation:

210

.................

Answer:

x = 37

Step-by-step explanation:

74 and 2x are vertical angles so they are equal.

74 = 2x

x = 37

Answer:

[tex]602.8cm^{3}[/tex]

Step-by-step explanation:

Volume of cylinder = π [tex]r^{2}h[/tex]

Here, [tex]r=4cm\\ h=12cm[/tex]

Volume = π × [tex]4^{2}[/tex] × [tex]12[/tex]

[tex]=602.8cm^{3}[/tex] (converted to 1 decimal place)

Answer:

15/5= 3

Blue Squares: 3*2= 6

Green Squares: 3*3= 9

Answer:

7 unique values can be created.

Answer:

60%

Step-by-step explanation:

% = Used Pool ÷ Total × 100

= 315 ÷ 525 × 100

=60%

Answer:

60 percent

Step-by-step explanation:

Answer:

Because BC=AD=8, segment BC ≅ Segment AD. Because these are horizontal line segments, their slopes are 0 and they are parallel.

Segment BC and AD are opposite sides that are both congruent and parallel. So ABCD is a parallelogram by the opposite sides congruent theorem.

Step-by-step explanation:

So if you count the boxes of segment BC you will get 8, same for if you count the boxes that make up segment AD. If they are the same distance they are congruent. You can see how BC and AD are both horizontal lines. To find the slope you need to do the slope formula for BC and AD, which is y2-y1/x2-x1 in our case BC= 4-4/12-4 which equals 0/8. If you do the same formula for AD, you will get 0/8 making them congruent and the slope 0. If the opposite sides are congruent and parallel it has to be a parallelogram by the opposites and congruent theorem.

Answer:

[tex] - 5 + ( - 8) \\ \\ = - 5 - 8 \\ \\ = - 13[/tex]

# be care#

Answer:

Here is your Answer

Step-by-step explanation:

Please mark me Brainliest

Answer:

r=10

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]3r = 30 \\ \frac{3r}{3} = \frac{30}{3} \\ r = 10 \\ [/tex]

Yes they are ;

SUT angle = WUV angle

&

[tex] \frac{SU}{WU} = \frac{TU}{VU} = \frac{ST}{VW} \\ [/tex]

Answer:

10/6

Step-by-step explanation:

1 1/2=3/2

3/2: We need it to be /6. Multiply 3 by the top and bottom. 9/6

9/6+1/6=10/6

Answer:

the first second and last one because you plug in the x and then plug in the y

Answer:

The circle has an area of about 1385 square mm.

Step-by-step explanation:

Let's recall that circles have an area that can be found with the following formula:

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

where r is the radius of the circle.

Now, focus your eyes on the circle. We are shown that the diameter of this circle is 42 mm, but we only want the radius. Since the radius is half the diameter, the radius is 21 mm. Now, we can solve for the area of the circle.

[tex]A=\pi (21)^2\\A=441\pi \\A=1385.44236...[/tex]

So, to the nearest whole number, the area of the circle is 1385 square mm.