the diagram shows a circle drawn inside a square 12cm the circle touches the edges o the square. calculate the shades area. take pi to be 3.142 and write down all the digits given by your calculator.
Answer:
30.89cm³
Step-by-step explanation:
Given that:
Side length, s of square = 12cm
Area of square = s² = 12² = 144cm²
Since the circle touches the edge of tbe square, then the diameter of the circle = side length of square = 12 cm
Area of a circle = πr²
Radius, r = diameter / 2 = 12/2 = 6cm
A = 3.142 * 6^2
A = 3.142 * 36
A = 113.112 cm²
Area of shaded portion = area of square - area of circle
= 144cm² - 113.112cm³
= 30.89cm³
3789 divided by 21, I need help.
Answer:
3789/21
=180.4...............
Plz help me with this Im timed will mark as brainliest
Answer:
It seems like John is trying to find the mean, or average.
Green is 82
blue is 320
red is 4
Step-by-step explanation:
82 is the score John must get to have the average of 80
320 is the number you must divide by 4 to get 80
A student conducts a survey on the eye color of a group of ninth-graders and then randomly selects a ninth-grader. Compare the experimental probability of choosing a ninth-grader with blue eyes to the experimental probability of choosing a ninth-grader with hazel eyes.
Eye Color Blue Brown Green Hazel
Number 37 62 13 15
Answer:
Hazel is 1 out of 8.46
Blue is 1 out of 3.43
Step-by-step explanation:
total number=37+62+13+15=127
Blue is 37 out of 127
Probability is 1 out of 3.43
Hazel is 15 of 127
Probability is 1 out of 8.46
A swim team ordered 36 jackets that each cost the same amount. The total cost of the order was $1,116. Let c be the cost of each jacket. How much did each jacket cost? Choose the equation that represents this problem.
A) 1,116 * c = 36
B) c = 1,116 * 36
C) 1,116/36 = c (1,116 divided by 36 equals c)
D)c = 36/1,116 (c equals 36 divided by 1,116)
Answer:
C
Step-by-step explanation:
1116 / 36 = 31
hope this helps
Answer:
C ,1,116/36 = c (1,116 divided by 36 equals c)
Step-by-step explanation:
Hope this helps!
what is the value (total) of 14+10+(-14)
Answer:
10
Step-by-step explanation:
14+10=24-14=10
Answer: 10
Step-by-step explanation: 14 + 10 = 24 + (-14) = 10
What are the solutions to the equation?
4x3 = 36x
Enter your answers in the boxes.
X=
or x =
or X
Step-by-step explanation:
4x³ = 36x
4x³ - 36x = 0
4x(x² - 9) = 0
4x(x + 3)(x - 3) = 0
Hence x = 0, x = -3 or x = 3.
Find the 99th term of the sequence: -56, -59, -62, -65.
The length of a triangle is 1 1/8 cm longer than the width. The perimeter is 13 1/4 cm. What are the width and length of this triangle?
Answer: See explanation
Step-by-step explanation:
I think your question should be a rectangle and not a triangle. A triangle has 3 sides and not 2 sides. In order to solve the question, I'm assuming that you wanted to write rectangle.
Note that the perimeter of a rectangle:.= 2(length + breadth)
Let the width be x
Since the length is 1 1/8 cm longer than the width, therefore, the length is 1 1/8 + x.
Therefore, perimeter = 2(1 1/8 + x + x) = 13 1/4
2(1 1/8 + 2x) = 13 1/4
2 2/8 + 4x = 13 1/4
2 1/4 + 4x = 13 1/4
4x = 13 1/4 - 2 1/4
4x = 11
x = 11/4
x = 2 3/4
Therefore, the width is 2 3/4cm
Length = 2 3/4 + 1 1/8
= 2 6/8 + 1 1/8
= 3 7/8cm
Please help me with my homework this is 5th grade work btw
Answer:
21
Step-by-step explanation:
Can I have brainliest:)
Answer:
7 x 24
8 x 1
=
168/8= 21
What is the answers to this problem? Please help!!
Answer:
a = 31.7
c = 39.1
Step-by-step explanation:
tan54 = a / 23
a = 23 * tg54
a = 31.7
sin54 = 31.7 / c
c = 31.7 / sin54
c = 39.1
:)
Sara's family traveled 5 7 of the distance to her grandfather's house on Saturday. They traveled 1 2 of the remaining distance on Sunday. What fraction of the total distance to her grandfather's house was traveled on Sunday?
Answer:1/7
Step-by-step explanation:2/7 is the remainder of the leftover 5/7. Half of 2 is one, leaving u with 1/7.
please help! i have 5 mins to turn in!!! thanks :)
If 4 people want to share a 15-pound sack of rice equally by weight, how
many pounds of rice should each person get?
(PLS HURRY UP)
Laptops that sell for $660 are on sale with a percent discount of 7%. Find the sale price. Round your answer to the nearest cent, if necessary
Answer:
$613.80
Step-by-step explanation:
7% of 660 = 0.07 × 660 = 46.2
660 - 46.2 = 613.80
Which of the following equations have exactly one solution?
Choose all answers that apply:
A
- 6x – 15 = 6x + 15
B
6x + 15 = 6x + 15
62 - 6 = 15.2 + 15
D
62 - 6 = 60 - 15
Answer:
The answer is B
Step-by-step explanation:
I got this answer from Khan Academy.
Hope this helps! :)
Proove that triangle XYZ is congruent to triangle ZWX
Answer:
in the two triangles WXZ and XYZ we have:
●YXZ=XZY(given)(THESE ARE ANGLES)
●WZX=ZXY(given)(THESE ARE ANGLES)
●(XZ) common side
so the 2 triangles are congruent by ASA(ANGLE SIDE ANGLE).
Step-by-step explanation:
hope this helped and there is another way by proving the quadrilateral a parallelogram but it's longer and harder tell me if u want me to explain it to you
Answer: if you are on khan academy, which you are, here’s the real answer.
Step-by-step explanation:
what is the square root of 49
Answer:
7
Step-by-step explanation:
√49 = 7
7² = 49
7 × 7 = 49
hope this helps...
Help me with this question please
Answer:
15
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
If 9 cups of water is for 6 of lemon juice, and it will stay on this continuous path then 2x9= 18 cups of water for 2x6 lemon juice which makes it 12.
Select all true statements for the triangle shown.
D
11
sin(E)=
185
1185
11
11
sin(B) =
8
8
sin(D) =
J185
E
F
8
8
sin(D)=
11
Answer:
Hope this help
Step-by-step explanation:
The correct options are (1) and (3)
What are trigonometric ratios?The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).
Given that, a right triangle Δ DEF,
We know that the sine of an angle is the trigonometric ratio of the opposite side to the hypotenuse of a right triangle containing that angle.
Therefore, If D is the reference angle then, sinD = 8/√185
and B is the reference angle then, sinB = 11/√185
Hence, The correct options are (1) and (3)
For more references on trigonometric ratio, click;
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Write down the exact value of sin 60°
3099
2
V3
160°
Answer:
sin60° = [tex]\frac{\sqrt{3} }{2}[/tex]
Step-by-step explanation:
sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex]
Graph the linear function q(x)=-3x
Answer:
Step-by-step explanation:
One root of a third degree polynomial function f(x) is –5 + 2i. Which statement describes the number and nature of all roots for this function?
Given :
One root of a third degree polynomial function f(x) is –5 + 2i.
To Find :
The number and nature of all roots for this function.
Solution :
We know, there are exactly three roots in any third degree polynomial.
Also, we know complex roots always comes in pair i.e. the other root is the conjugate of each other .
So, other root is , -5 - 2i .
Also, since complex roots come in conjugate pair. So, third root cannot be complex.
Therefore, 2 roots are complex and 1 is real.
Answer:
f(x) has two imaginary roots and one real root.
Step-by-step explanation:
B on edge.
Whats the surface area?
Answer:
Total Area = 1070 m^2
Step-by-step explanation:
we have 4 different surfaces
the "ramp" the triangles (2) one for each sidethe bottom rectanglethe back rectangle1. the ramp
[tex]A_r = 15\times 30\\\\A_r = 450[/tex]
2. the triangles
since they are the same we just multiply by two
[tex]A_t = \frac{8\times 10}{2}\\\\A_t = \frac{80}{2}\\\\A_t = 40[/tex]
so the areas of the two triangles is
[tex]2A_t = 2(40)\\\\2A_t = 80[/tex]
3. the bottom rectangle
[tex]A_{bot} = 10\times 30\\\\A_{bot} = 300[/tex]
4. the back rectangle
[tex]A_{back} = 8\times 30\\\\A_{back} = 240[/tex]
now add them together
[tex]A_T=A_r+2A_t+A_{bot}+A_{back}\\\\A_T = 450+80+300+240\\\\A_T = 1070\: m^2[/tex]
Find the range of the function y=1/2x-3 if the domain is {-2, 0,4}
A. {-7, -3, 5}
B. {-4, -3, -1}
C. {1, -3, 4-11}
D. {-2, -3, -5}
Answer:
i think it is B
Step-by-step explanation: don't ask for an explanation cuz i wont give one
(I want real answers, if you give me a STEP BY STEP answer I'll give brainlyest)Solve each system of equations algebraically.
1.y=2x-3
x+y=18
2.y=x+12
4x+2y=27
3.Elaine bought a total of 15 shirts and pairs of pants. She bought 7 more shirts than pants. How many of each did she buy.
Answer:
Step-by-step explanation:
1) Make it so that it's easy to solve
3 = -y +2x
18 = y + x (the y cancels out)
21 = 3x (divide both sides by 3 to isolate x)
x = 7 (then you can plug in x and then solve for y)
2) Again, make the problem easy to read
12 = -x + y
27 = 4x + 2y (get rid of either x or y. I am going to get rid of x by multiplying the top equation by four)
48 = -4x + 4y
27 = 4x + 2y (x is canceled out)
75 = 6y (divide both sides by 6 to isolate y)
12.5 = y (then plug in y to find x)
3) 15 = (7 + p) + p -----------------> p represents pants and (7 + p represents shirts because she bought 7 plus pants of shirts)
15 = 7 + 2p
8 = 2p (isolate p by dividing by 2)
p = 4
- Elaine bought 4 pants and 11 shirts.
In the comments, let me know if you need a further explanation.
You are trying to decide whether to use Uber or Lyft during a vacation. Uber charges $3 to pick up plus an additional $0.25 for each mile driven. Lyft does not charge to pick up but they have a rate of $0.75 for each mile driven.
Let x = the number of miles traveled and y = the total cost for the trip.
Will the cost of the two companies ever be the same? If so, at how many miles and what is that cost? If not, explain your reasoning. Show all work that leads to your answer.
Answer:
6 Miles and the cost is $4.50
Step-by-step explanation:
3+0.25=0.75x
3+0.50x
6=x
0.75x+?
0.75 x 6= 4.50
The sum of the measures of three adjacent angles is 150' The measures of the angles are in the ratio of 1:2:3. What is the measure, in degrees of the
largest angle?
The measure of the largest angle is
degrees
Answer:
It is a 30, 60, 90 triangle.
Step-by-step explanation:
Hence, the measure of the largest angle is degrees is [tex]5[/tex] degree, [tex]10[/tex] degree and [tex]15[/tex] degree and the largest angle is [tex]15[/tex] degree.
What are the angles?
Angles are formed by two rays (or lines) that begin at the same point or share the same endpoint. The point at which the two rays meet (intersect) is called the vertex.
Here given that,
The sum of the measures of three adjacent angles is [tex]150[/tex] degree. The measures of the angles are in the ratio of [tex]1:2:3.[/tex]
Let one angle is [tex]x[/tex], second is [tex]2x[/tex] and the thirs one is [tex]3x[/tex].
As given that the sum of three angles is [tex]150[/tex] degree but we know that the sum of three angles is [tex]180[/tex] degree then,
[tex]x+2x+3x=180-150\\\\x+2x+3x=30\\\\6x=30\\\\x=\frac{30}{6}\\\\x=5[/tex]
when
[tex]x=5\\\\2x=2(5)\\\\2x=10[/tex]
when
[tex]x=5\\\\3x=3(5)\\\\3x=15[/tex]
Hence, the measure of the largest angle is degrees is [tex]5[/tex] degree, [tex]10[/tex] degree and [tex]15[/tex] degree and the largest angle is [tex]15[/tex] degree.
To know more about the angles
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write 7/81 as a percentage
answer is .7 .81 l think
Rewrite 4/5 using fifteenths
Answer:
12/15
Step-by-step explanation:
The fraction of 4/5 using fifteenths is 10/9.
What is Fraction?The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.Given:
4/5 using fifteenths
We have to convert the denominator in 15.
So, multiplying the fraction by 3/3
Then, 4/5 x 3/3 = 12 / 15
Hence, the fraction of 4/5 using fifteenths is 10/9.
Learn more about fraction here:
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