The design for the palladium window shown includes a semicircular shape at the top. The bottom is formed by squares of equal size. A shade for the window will extend 4 inches beyond the perimeter of the window, shown by the dashed line around the window. Each square in the window has an area of 169 in2. Round your answers to the nearest whole number.

Answers

Answer 1

Answer:

[tex](a)\ Area = 3765.32[/tex]

[tex](b)\ Area = 4773[/tex]

Step-by-step explanation:

Given

[tex]A_1 = 169in^2[/tex] --- area of each square

[tex]Shade = 4in[/tex]

See attachment for window

Solving (a): Area of the window

First, we calculate the dimension of each square

Let the length be L;

So:

[tex]L^2 = A_1[/tex]

[tex]L^2 = 169[/tex]

[tex]L = \sqrt{169[/tex]

[tex]L=13[/tex]

The length of two squares make up the radius of the semicircle.

So:

[tex]r = 2 * L[/tex]

[tex]r = 2*13[/tex]

[tex]r = 26[/tex]

The window is made up of a larger square and a semi-circle

Next, calculate the area of the larger square.

16 small squares made up the larger square.

So, the area is:

[tex]A_2 = 16 * 169[/tex]

[tex]A_2 = 2704[/tex]

The area of the semicircle is:

[tex]A_3 = \frac{\pi r^2}{2}[/tex]

[tex]A_3 = \frac{3.14 * 26^2}{2}[/tex]

[tex]A_3 = 1061.32[/tex]

So, the area of the window is:

[tex]Area = A_2 + A_3[/tex]

[tex]Area = 2704 + 1061.32[/tex]

[tex]Area = 3765.32[/tex]

Solving (b): Area of the shade

The shade extends 4 inches beyond the window.

This means that;

The bottom length is now; Initial length + 8

And the height is: Initial height + 4

In (a), the length of each square is calculated as: 13in

4 squares make up the length and the height.

So, the new dimension is:

[tex]Length = 4 * 13 + 8[/tex]

[tex]Length = 60[/tex]

[tex]Height = 4*13 + 4[/tex]

[tex]Height = 56[/tex]

The area is:

[tex]A_1 = 60 * 56 = 3360[/tex]

The radius of the semicircle becomes initial radius + 4

[tex]r = 26 + 4 = 30[/tex]

The area is:

[tex]A_2 = \frac{3.14 * 30^2}{2} = 1413[/tex]

The area of the shade is:

[tex]Area = A_1 + A_2[/tex]

[tex]Area = 3360 + 1413[/tex]

[tex]Area = 4773[/tex]

The Design For The Palladium Window Shown Includes A Semicircular Shape At The Top. The Bottom Is Formed

Related Questions

A cylindrical can has a diameter of 8 inches and a height of 12 inches. Find the volume of the can, in cubic inches, rounded to the nearest whole number.

Answers

Answer:

The rounded answer would lead you to 603.

If this is wrong in sorry.

The volume of the cylinder will be  [tex]V=602.88\ In^3[/tex]

What will be the volume of the cylinder?

Given that

The diameter d=8 inches r= 4 inches

The height of the cylinder h=12 inches

the volume of the cylinder will be

[tex]V= \pi r^2h[/tex]

[tex]V=\pi\times (4)^2\times 12[/tex]

[tex]V=602.88\ Inch^2[/tex]

Thus the volume of the cylinder will be  [tex]V=602.88\ In^3[/tex]

To know more about the Volume of cylinders follow

https://brainly.com/question/23935577

Find the radius of the button

Answers

radius is half of diameter
d=28
28/2=14

radius =14

Answer:

the radius is 14

Step-by-step explanation:

... ....ur welcome.........

since the diameter of it is 28 the radius is half of it

A car is traveling at a constant speed of 60 miles per hour. Complete the table below to the distance that the car travels in hours.

Answers

Answer:

The value for the first one is “d= 60t”
because that’s how much the car travels per hour.
The values for the second question is “450=60t” because 450 is the amount of miles the car traveled in total, and again the 60 is how many miles the car travels per hour.

Hope this helped!

FOR REA PLEASE HELP ASAP​

Answers

Answer:

16

Step-by-step explanation: -7 is the least number and 9 is the greatest. the range between -7 and 9 is 16

No files no links or you’re going to get reported I’m giving 10 points so all I need is someone to help me

Answers

1) 9x + 13 = 17x - 15
13 = 8x -15
28 = 8x
x = 3 1/2
Answer- A

2) barrel a; 5x+20
barrel b; 4.25x+32
Equal barrel weight: 5x+20=4.25x+32
5x=4.25x+12
0.25x=12
x=48
Answer: 48 shovels of dirt will make the two wheel barrels equal

-3(7x-5)
Please I need an answer ASAP

Answers

Answer:

-21x + 15!

Step-by-step explanation:

Multiply using the distributive property. Hope this helps!

-Lei

The price of an item has been reduced by 70%. The original price was 70$. What is the price of the item now?

Answers

Answer:

21

Step-by-step explanation:

original price-reduced price

100%-70%=30%

100%=70

30%

30%/100%*70=21

=21$

Please answer correctly!! I’ll mark as brainliest!

No links no fake answers

Answers

Answer:

Option 3: cos A=15/17

Step-by-step explanation:

Sine is the opposite side over the hypotenuse,

Cosine is the adjacent side over the hypotenuse, and

Tangent is opposite side over the adjacent side

You can remember this with the acronym SOHCAHTOA (sine, opposite, hypotenuse, cosine, adjacent, hypotenuse, tangent, opposite, adjacent)

Option 3 uses cosine, so the adjacent angle to angle A would be 15 and the hypotenuse would be 17, so 15/17

PLEASE help it’s due today at 10pm

Answers

Sorry bro its past 10pm now, hope you figured it out

What is the value of x?

Answers

Answer:

-115?

Step-by-step explanation:

i have no idea but try anyways

When heat energy is increased for a substance the ______?

HELP!!

Answers

Answer:

molecules speed up

Step-by-step explanation:

temperature has a strong affect of the movement of molecules

Anyone know how to do this?

Answers

Answer:

y = -1/2 x + 25

The relationship is linear, but it takes some doing.

Step-by-step explanation:

Remark

This is a very interesting problem. I've never seen one quite like it. There is probably a much better way of solving it, but I did not discover it.  

You have to introduce another variable which I labeled as z.

Let time = x

Let distance = y

Let the step away from the starting point = z   which will be the same for x and y. So 18 and 16 the step away from the start is 3.

So as the time increases, the distance decreases.  What we are going to do sort of resembles a parametric relationship.

t starts with 10

x = 10 + 4*(z - 1)   and increases by 4 with each step

d starts with 20 and decreases by 2 with each step

y = 20 - (z - 1)*2

Now solve for z in each of the forgoing equations.

x = 10 + 4z - 4

x = 6 + 4z

x - 6 = 4z

(x - 6)/4 = z

y = 20 - 2z + 2

y = 22 - 2z

y - 22 = - 2z

(y - 22)/-2 = z                    

Since the zs must be kept the same, the left sides are equated

(x - 6)/4 = (y - 22)/-2               Cross multiply

-2(x - 6) = 4(y - 22)                 Remove the brackets.

-2x + 12 = 4y - 88                   add 88 to both sides.

-2x + 100 = 4y                        Switch the sides

4y = - 2x + 100                       Divide by 4

y = -1/2 x  + 25

Now for sure you have to try this.

Let x = 14

y = -1/2 * 14 + 25

y = -7 + 25

y =  18

Try another one

Let x = 22

y = -1/2 * 22 + 25

y = - 11 + 25

y = 14

Those two at least check.

What is the slope of the line passing through points (2, 1) and (5, 7)?

Answers

Answer:

(3, 6)

Step-by-step explanation:

(x1, y1) and (x2, y2)

x2 - x1, y2 - y1

(x*, x*)

(2, 1) and (5, 7)

5 - 2, 7 - 1

(3, 6)

Math.... Can you help

Answers

Answer: -42 7/8

Step-by-step explanation: Hope this help:D

10. Jacque is adding a rectangular room on the back of his house. The length will be 5 meters

longer than the width. If the area of the room will be 150 square meters, what are the

dimensions?

Answers

Answer:

L = 15 m, b = 10 m

Step-by-step explanation:

Let width of the rectangle be b.

Length = 5+b

The area of the rectangle is 150 sq meters.

The area of rectangle is given by :

A = lb

So,

[tex]150=b(5+b)[/tex]

It is a quadratic equation. The solution of this equation is :

b = -15 m and 10 m

Neglecting -15, the width of the rectangle is 10 m.

Length = 5+10

= 15 m

So, the dimensions of the room are 10 m and 15 m.

I need help wit math​

Answers

Answer:

1/2

Step-by-step explanation:

Even numbers on the dice:

2, 4, 6

Probability of getting even:

3/6

1/2

The volume of the sphere is about (blank) ft.​

Answers

Answer:

[tex]14.13[/tex]

Step-by-step explanation:

V=[tex]\frac{4}{3}[/tex][tex]\pi r^{3}[/tex]

Answer:

[tex] \displaystyle V_{ \text{sphere}} =14.13 \: \rm ft^{3} [/tex]

Step-by-step explanation:

we are given the redious of a sphere

we want to figure out the volume

remember that,

[tex] \displaystyle V_{ \text{sphere}} = \frac{4}{3} \pi {r}^{3} [/tex]

since we are given the redious we can substitute

[tex] \displaystyle V_{ \text{sphere}} = \frac{4}{3} \pi { \times 1.5}^{3} [/tex]

as the approximate value of π is given

substitute:

[tex] \displaystyle V_{ \text{sphere}} = \frac{4}{3} \times 3.14 { \times 1.5}^{3} [/tex]

we know the order of PEMDAS. Parentheses, Exponent, Multiplication or Division, Addition or substraction

so

simplify square:

[tex] \displaystyle V_{ \text{sphere}} = \frac{4}{3} \times 3.14 { \times 3.375}[/tex]

reduce fraction:

[tex] \rm\displaystyle V_{ \text{sphere}} = \frac{4}{ \cancel{ 3 \: }} \times 3.14 { \times \cancel{ 3.375}} \: ^{1.125} [/tex]

[tex] \displaystyle V_{ \text{sphere}} = 4\times 3.14 \times 1.125[/tex]

simplify multiplication:

[tex] \displaystyle V_{ \text{sphere}} =14.13[/tex]

since we cubed the redious and the redious is in feet, we of course use cubic feet

[tex] \displaystyle V_{ \text{sphere}} =14.13 \: \rm ft^{3} [/tex]

Please help me it’s due in 1 hour

Answers

Answer:

There were 39 children at the party

Step-by-step explanation:

Here, we want to know the number of children at the party

To do this, we have to add the y-values ( frequencies of the age grades)

We have this as;

8 + 8 + 7 +10 + 6 = 39

can i get help please so much :)

Answers

Mean = 76.57
Median =75
Mode= 75
Range= 49

Answer:

Mean: 76.6 (rounded the original number- 76.571)

Median: 75

Mode: 75

Range: 49

Standard Deviation: 14.50 (i round it, original number- 14.4504)

Step-by-step explanation:

I calculated everything, please lemme know if any of it is wrong!

A pattern of ordered pairs is shown.

(0, 1), (2,4), (4,7), (6, 10)

The pattern continues. What is the eighth ordered pair in the pattern?

A. (8,13) B. (14, 18). C. (14, 22) D. (16, 19)​

Answers

Answer: C

Step-by-step explanation:

X’s are going by +2 and y’s by +3

After identifying the pattern, its eighth ordered pair is: (14, 22), option C.

--------------------------

The ordered pairs given are: (0, 1), (2,4), (4,7), (6, 10)

From them, we can see that for each new ordered pair, x increases by 2, and y increases by 3.Thus, the next ordered pairs are: (8, 13), (10, 16), (12, 19), (14, 22).The eighth ordered pair is given by (14,22), option C.

A similar problem is given at https://brainly.com/question/16599038

how do i solve this question

Answers

Answer:

18.18

Step-by-step explanation:

total sum of angle of quadrilateral is 360

70+60+ 7x-4+4x-3=360

160-7 +11x =360

153 +11x =360

11x=360-153

x=207/11

x=18.18

Cockroaches can digest a wide range of substances, which makes them a(n) _____.
A.specialist species
B.generalist species
C.keystone species
D.indicator species

Answers

Answer:

specialist species

Please help me I dont really understand
(this is 12 year old math)

Answers

Answer:

S represents sasha and B represents brother.

Equation is s = b + 4

11

13

16

24

Step-by-step explanation:

Let s represent Sasha

Let b represent brother

Answer:

When B is 7, S is 3.

When B is 9, S is 5.

When S is 20, B is 24.

When S is 28, B is 32.

mariah and isaiah each deposited $7000 into accounts that earn 6% interest the graph shows the amount of interest each account earns in the 1st three years whose account earns annual simple interest and whose account earns annual compound interest explain your choice
Please help me

Answers

Answer:

its Isaiah he's the most financially stable

Answer:

Compound is Isaiah and Simple is Maria.

Step-by-step explanation:

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
ALSO 50 POINTS!

Answers

Answer:

h = 12 m

[tex] v_{cylinder}= 235.5 \: {m}^{3} [/tex]

Step-by-step explanation:

Radius of cylinder (r) = 5/2 = 2.5 m

[tex] {h}^{2} = {13}^{2} - {5}^{2} \\ h = \sqrt{ {13}^{2} - {5}^{2} } \\ h = \sqrt{169 - 25} \\ h = \sqrt{144} \\ h = 12 \\ \\ v_{cylinder} = \pi {r}^{2} h \\ v_{cylinder}= 3.14(2.5) ^{2} (12) \\ v_{cylinder}= 235.5 \: {m}^{3} [/tex]

GIVE ME A SOLID ANSWER

I gain: These 2 pages answers

You gain: 25 points brainliest

Answers

Answer:

Sorry but it is really difficult to see the questions... :(

Can you zoom up on them?

Step-by-step explanation:

If the temperature is -3 degrees F at 10:00 p.M., and the temperature falls four degrees overnight, what is the resulting temperature?

Answers

Answer:

-7

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

PLEASE HELP!!! Given PQ. Find the measure of arc PQ, if the radius is 30 and chord PQ = 36. Round to nearest degree.

Answers

Answer:

I think the answer is 30.

A group of people are fundraising, and each person raises a certain amount of money for every mile they walk. Each person's fundraising is
represented below using d for the dollars that person raises and w for the miles that person walks

Answers

Answer:

lk

Step-by-step explanation:

on

how do you solve 10.50 X 8.5

Answers

Answer:

89.25

Step-by-step explanation:

because:

it just is

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