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:
[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]
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Answer: D
Step-by-step explanation:
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.In the zombie apocalypse, the ratio of children to adults was 3 to 4. The ratio
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Step-by-step explanation:
diameter is 84 thereare 2 time 42 .84.
follow me nice study bye .
HELP ASAP! first one to answer gets brainliest and 15 points
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Answers
Answer:
1st: x-120
2nd: 0
3rd: x+12
4th: 120 + x
5th: x+12
im pretty sure that's right...?
I won't get brainliest lol
What is an equation of the line that passes through the point (6,-2) and is perpendicular to the line 6x+y=2
Answers
I hope it is useful.
find the mean median mode, round to the neaerest tenth. 60,70,75,78,80,80,83,85,87,90.90,90,90,93,95,95,98,100.
Answers
Answer:
Mean: 84.6
median:85
mode:90,80
range:40
minimum:60
maximum:100
Step-by-step explanation:
Answer:
mean = 85.5
median = 88.5
mode = 90
Step-by-step explanation:
Okay, so the mean is the sum of the terms divided by the total number of term so basically:
60 + 70 + 75 + 78 + 80 + 80 + 83 + 85 + 87 + 90 + 90 + 90 + 90 + 93 + 95 + 95 + 98 + 100 = 1,539
1,539 ÷ 17 = 85.5
Now, the median is just the number in the middle so we already have our numbers in order so the middle numbers are 87 and 90, so we just have to add them together and then divide by 2:
87 + 90 ÷ 2 = 88.5
and the mode is just the number that's repeated most, and that number is 90
hope this helps:)
True or False: All horizontal lines have a y-intercept.
Answers
Answer:
If you are looking at a graph then yes it will have a y-axis
Step-by-step explanation:
Answer:
True.
Step-by-step explanation:
A horizontal line goes on infinitely on both ends will eventually cross the y-axis, making a y-intercept.
Surface areas 98 Find the shaded area. Round to the nearest tenth if necessary. 22 mm 18 mm 9 mm
Answers
Answer:
297 sq mm
Step-by-step explanation:
Area of Rectangle: 22 x 18 = 396
Area of Triangle: (1/2)(22)(9) = 99
Area of Rectangle - Area of Triangle = Area of Shaded area
396 - 99 = 297
Which graph represents an equation with the values shown in the table?
Answers
Answer:
4
Step-by-step explanation:
4
That’s should be the answer
FIND THE DIFFERENCE:(5a -7c)-(2a + 5c)
7a - 2c
3a - 12c
7a + 12c
Answers
Answer:
3a-12c
Step-by-step explanation:
(5a-7c)-(2a+5c)
5a-7c-2a-5c
(5a-2a)+(-7c-5c)
3a-12c
Answer:
3a - 12c
Step-by-step explanation:
jesse has never used the sliding board at his daycare because he is afraid. His teacher has encouraged him, but he refuses to slide down. one day his mother stands at the bottom And say's Jesse let's go and slides into his mother's arms Laughing The situation is a example of....
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B Adaptability
C Conditioning
D Social referencing
Answers
jesse has never used the sliding board at his daycare because he is afraid. His teacher has encouraged him, but he refuses to slide down. one day his mother stands at the bottom And say's Jesse let's go and slides into his mother's arms Laughing The situation is a example of Social referencing. Option (d) is correct.
What do you mean by Situation?Situation refers to a group of conditions or a current state of events.
Social reference is the method through which newborns control their behavior toward surrounding items, people, and circumstances by observing the emotive displays of an adult.
For adaptive social functioning to occur, one must recognize and make use of the emotional communication of others. The ability to negotiate complicated and frequently ambiguous settings is known as social referencing in the developmental literature and social appraisal in adult studies.
Therefore, Option (d) is correct. The situation is a example of Social referencing.
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Can anyone help find x?
Answers
Answer:
119
Step-by-step explanation:
Answer:
x= 61
Step-by-step explanation:
i think
On a coordinate plane, what is the distance between the point at (8, 7) and the point at (-9, 7)?
Answers
Answer:
They are 17 units away from each other!
Step-by-step explanation:
Because they have the same y coordinate, this make us not have to do the formula. To find how far they are away, add the absolute value of each x coordinate. The answer is 17 units.
give me brainliest
guys can you help me answer this?
Answers
lora has 9 fish and dylan has 2 fish. lora wants to know how many more fish does she has then dylan lora has 9 fish and dylan has 2 fish. lora wants to know how many more fish does she has then dylan lora has 9 fish and dylan has 2 fish. lora wants to know how many more fish does she has then dylan lora has 9 fish and dylan has 2 fish. lora wants to know how many more fish does she has then dylan
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Answer:
7
Step-by-step explanation:
Answer: 7
Because 9-2=7
Find the length of the third side. If necessary, round to the nearest tenth.
15
25
Answers
Answer:
20.
Step-by-step explanation:
x^2 = 25^2 - 15^2
x^2 = 400
x = 20
Which table represents a quadratic function? No downloadable links or files, I will mark brainliest.
It is not the 3rd option.
Answers
Answer:
where is the table lol
P(x) = x2 + x +1
How many terms does this polynomial have?
Answers
Answer:
3
Step-by-step explanation:
As an estimation we are told £3 is €4.
Convert £40.50 to euros.
Answers
Answer:
As per the conversion in the question, £40.50 = €54
Step-by-step explanation:
Here, we want to make a conversion;
from the question;
£3 = €4
£40.50 = €x
Thus;
3 * x = 4 * 40.5
x = (4 * 40.5)/3
x = €54
What is the area of this triangle in the coordinate plane? 5 units 6 units 7 units 12 units?
Answers
Answer:
6 units
Step-by-step explanation:
Using readings taken from the coordinate upon which the triangle is drawn :
The area of triangle is given as :
Area of triangle = 0.5 * base * height
The base of the triangle = 4 units
The height of the triangle = 3 units
The Area of the triangle is thus :
0.5 * 4 * 3
0.5 * 12
= 6 units
Answer:
The area of the given triangle is 6 units²
here is my question.
Answers
Answer:
the answer is 18
Step-by-step explanation:
9X6=54
54/3=18
Answer:
18
Step-by-step explanation:
PLZZZ HELP MEE BIG BRAIN PLP PLZZ
Represent each linear situation with an equation in slope-intercept form.
A family bucket meal at Chicken Deluxe costs twenty-six dollars plus $1.50 for every extra piece of chicken added to the bucket.
Answers
Answer:
y = 1.5x + 26Step-by-step explanation:
Total cost is $26 add x-pieces each $1.50:
y = 1.5x + 26You are making a fence for your garden. The length is five less than two times
the width
a. Write a polynomial that represents the perimeter of the garden.
b. Write a polynomial that represents the area of the garden
c. Find the perimeter and area of the garden when the width is 8 feet.
Answers
Answer:Answer: (a) = P = 2(x + 2x-5) = 2(3x-5) = 6x - 10.
Step-by-step explanation:
Part a : Polynomial represents the perimeter of the garden is 6W-10
Part b : Polynomial represents the area of the garden is [tex]2w^{2}-5w[/tex]
Part c : Perimeter = 38 feet and area = 88 feet square
What is polynomial?A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables
What is perimeter?A perimeter is a closed path that encompasses, surrounds
What is area?Area is the quantity that expresses the extent of a region on the plane or on a curved surface
Given,
Length is five less than two times the width
Consider
L is the length and W is the width
Then,
L=2W-5
Part a
Perimeter = 2(L+W)
Substitute the value of L
P=2(L+W)
P=2((2W-5)+W)
P=2(2W-5+W)
P=2(3W-5)
Perimeter= 6W-10
Part b
Area of the garden = L×W
Area = (2W-5)W
Area = [tex]2w^{2}-5w[/tex]
Part c
Given width W = 8 feet
Perimeter = 6W-10
P=6×8-10
Perimeter =38 feet
Area = [tex]2w^{2}-5w[/tex]
Area=[tex]2(8^{2})-5(8)[/tex]
Area = 88 feet square
Hence,
Part a : Polynomial represents the perimeter of the garden is 6W-10
Part b : Polynomial represents the area of the garden is [tex]2w^{2}-5w[/tex]
Part c : Perimeter = 38 feet and area = 88 feet square
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What is the value of y when x=-1?
P
Answers
Answer:
is there an equation to find y? Because all you gave was x=-1
please help me with this one!!
Answers
Answer:
V = 960 cm^3
Step-by-step explanation:
Volume of a rectangular prism = L * W * H
V = 12 * 8 * 10
V = 960 cm^3
Answer:
d. 960 cm^3
Step-by-step explanation:
The formula for volume is length x width x height. To solve you have to multiply 12 by 8 by 10 to get 960
Given the angles in the diagram below what is m<2?
Answers
Answer: 98
Step-by-step explanation: According to the corresponding angles theorem m<1=82. Then according to the linear supplements theorem m<2=98. Hope this helps!
Answer:
98°
Step-by-step explanation:
Angle 1 also measures 82° because it is a corresponding angle to the given angle. Angles 1 and 2 are supplementary and therefore must add up to 180°.
Consider this right triangle.
Enter the ratio equivalent to sin (B)
Answers
Answer:
[tex]\boxed {\boxed {\sf sin(B)= \frac {21}{29}}}[/tex]
Step-by-step explanation:
Sine is the ratio of the opposite side to the hypotenuse.
[tex]sin \theta= \frac {opposite}{hypotenuse}[/tex]
We want to find the sine of angle B. The side AC, which measures 21, is opposite angle B.
The side AB, which measures 29, is the hypotenuse because it is the longest side and opposite the right angle.
[tex]opposite= 21\\hypotenuse=29[/tex]
Substitute the values into the formula.
[tex]sinB= \frac {21}{29}[/tex]
This ratio cannot be reduced further, so it is the final answer.
The sine of B is 21/29
40
in.
in?
What is the area of this trapezoid?
b2 = 5 in.
h = 4 in.
2 in.
3 in.
b = 10 in.
Answers
A cylinder has a volume of 2,309.07 cubic cm and a height of 15 cm. What is the
radius of the cylinder? Use 3.14 for st in your calculations and round to the
nearest whole number.
cm
Answers
Answer:
7
Step-by-step explanation:
the answer I got was 7 hope this helped
If p(x)= 2^x, what is the value of p(3) - p(2)?
Answers
Answer:
4
Step-by-step explanation:
p(3) = 2³ = 8
p(2) = 2² = 4
8-4 = 4
48 - 5 + 7 · 3² ÷ (7-10)²
Answers
Answer:
the answer is 50
Answer:
50
Step-by-step explanation:
BODMAS/BIDMAS
48 - 5 + 7 x [tex]3^{2}[/tex] ÷ (7-10)²
= 48 - 5 + 7 x [tex]3^{2}[/tex] ÷ (-3)²
= 48 - 5 + 7 x [tex]3^{2}[/tex] ÷ 9
= 48 - 5 + 7 x 9 ÷ 9
= 48 - 5 + 63 ÷ 9
= 48 - 5 + 7
= 43 + 7
= 50