PLSSS HELPPPPPPPPPP!!!
Answer: about 3 i think
Step-by-step explanation:
the shape alongside is one quarter of a circle with radius of 14 cm. find the length of arc AB ,perimeter of the figure , area , area of triangle AOB , area of shaded segment.
Answer:
1) The length of the arc AB is approximately 21.99 cm
2) The perimeter of the figure is approximately 49.99 cm
3) The area of the figure is approximately 153.938 cm²
4) The area of the right triangle ΔAOB is 98 cm²
5) The area of the shaded segment is approximately 55.938 cm²
Step-by-step explanation:
The given parameters are;
The radius of the circle from which we have the quarter circle, r = 14 cm
Therefore, we have;
The length of segment OA = The length of segment OB = r = 14 cm
1) The length of the arc AB = 1/4 × The circumference of the circle with radius 14 cm and center O
The length of the arc AB = 1/4 × 2 × π × r = 1/4 × 2 × π × 14 c m= 7·π cm ≈ 21.99 cm which is approximately 22 cm, to the nearest whole number
2) The perimeter of the figure = The length of the arc AB + The length of segment OA + The length of segment OB
∴ The perimeter of the figure = 7·π cm + 14 cm + 14 cm ≈ 49.99 cm which is approximately 50 cm, to the nearest whole number
3) The area of the figure (sector AOB) = The area of the quarter of a circle = π × r²/4 = π × (14 cm)²/4 = 49·π cm² ≈ 153.938 cm²
4) Whereby we have arc AB and segment OA and OB form a quarter (1/4) of a circle, we have;
∠AOB = 360°/4 = 90°
Therefore, ΔAOB is a right triangle
The base length of the right triangle ΔAOB (is taken as being) = Segment OA = 14 cm
The height of the right triangle ΔAOB (is taken as being) = Segment OA = 14 cm
The area of the right triangle ΔAOB = 1/2 × The base length × The height
∴ The area of the right triangle ΔAOB = 1/2 × 14 cm × 14 cm = 98 cm²
The area of the right triangle ΔAOB = 98 cm²
5) The area of the shaded segment = The area of the quarter of a circle (Sector OAB) - The area of the triangle ΔAOB
The area of the quarter of a circle = 49·π cm² ≈ 153.938 cm²
∴ The area of the shaded segment = 49·π cm² - 98 cm² ≈ 55.938 cm²
The area of the shaded segment ≈ 55.938 cm²
The area of the shaded segment is approximately 55.938 square centimeters.
The length of the arc AB is approximately 21.991 centimeters.
The perimeter of the figure is approximately 49.991 centimeters.
The area of triangle AOB is 98 square centimeters.
The area of the circle segment is approximately 153.938 square centimeters.
Procedure - Area of the shaded segmentThe area of the shaded segment ([tex]A[/tex]), in square centimeters, is obtained by subtracting the area of the triangle from the area of the circle quarter, that is:
Area of the shaded segment[tex]A = \frac{\pi\cdot r^{2}}{4}-\frac{1}{2}\cdot \left(\frac{\sqrt{2}}{2}\cdot r \right)\cdot \left(\sqrt{2}\cdot r\right)[/tex]
[tex]A = \frac{\pi\cdot r^{2}}{4}-\frac{1}{2}\cdot r^{2}[/tex]
[tex]A = \left(\frac{\pi}{4}-\frac{1}{2} \right)\cdot r^{2}[/tex] (1)
If we know that [tex]r = 14\,cm[/tex], then the area of the shaded segment is:
[tex]A = \left(\frac{\pi}{4}-\frac{1}{2} \right)\cdot (14\,cm)^{2}[/tex]
[tex]A \approx 55.938\,cm^{2}[/tex]
Where [tex]r[/tex] is the radius of the circle segment, in centimeters.
The area of the shaded segment is approximately 55.938 square centimeters. [tex]\blacksquare[/tex]
The length of the arc AB ([tex]s[/tex]) is determined by definition of circular arc:
Length of the arc AB[tex]s = \frac{\pi}{2} \cdot r[/tex] (2)
If we know that [tex]r = 14\,cm[/tex], then the length of the arc AB is:
[tex]s = \frac{\pi}{2} \cdot (14\,cm)[/tex]
[tex]s \approx 21.991\,cm[/tex]
The length of the arc AB is approximately 21.991 centimeters. [tex]\blacksquare[/tex]
The perimeter of the figure ([tex]p[/tex]), in centimeters, is the sum of the arc AB and the two legs of the right triangle, that is:
Perimeter of the figure[tex]p = \frac{\pi}{2}\cdot r + 2\cdot r[/tex]
[tex]p = \left(\frac{\pi}{2} + 2 \right)\cdot r[/tex] (3)
If we know that [tex]r = 14\,cm[/tex], then the perimeter of the figure is:
[tex]p = \left(\frac{\pi}{2} + 2 \right)\cdot (14\,cm)[/tex]
[tex]p \approx 49.991\,cm[/tex]
The perimeter of the figure is approximately 49.991 centimeters. [tex]\blacksquare[/tex]
The area of the triangle ([tex]A[/tex]) was used in the first part of this question and we proceed to extract it below:
Area of triangle AOB[tex]A = \frac{1}{2}\cdot r^{2}[/tex] (4)
If we know that [tex]r = 14\,cm[/tex], then the area of the triangle AOB is:
[tex]A = \frac{1}{2}\cdot (14\,cm)^{2}[/tex]
[tex]A = 98\,cm^{2}[/tex]
The area of triangle AOB is 98 square centimeters. [tex]\blacksquare[/tex]
The area of the circle segment ([tex]A[/tex]) was used in the first part of this question and we proceed to extract it below:
Area of circle segment[tex]A = \frac{\pi\cdot r^{2}}{4}[/tex] (5)
If we know that [tex]r = 14\,cm[/tex], then the area of the circle segment is:
[tex]A = \frac{\pi\cdot (14\,cm)^{2}}{4}[/tex]
[tex]A \approx 153.938\,cm^{2}[/tex]
The area of the circle segment is approximately 153.938 square centimeters. [tex]\blacksquare[/tex]
To learn more on circles, we kindly invite to check this verified question: https://brainly.com/question/11833983
M is the midpoint of LN¯¯¯¯¯¯¯¯.
What is LM? LM =
What is LN? LN =
x =
The mass of the liquid below is 45.5 grams if placed in a beaker with water the liquid will....
Any help is appreciated:)
Answer:
it will float!
Step-by-step explanation:
in order to find density, you must divide the mass by the volume. the volume is 56 ml, and the mass is 45.5. (45.5 / 56 = 0.8125) because we know the density of water is 1, and the density of this liquid is less than that of water, it will float because it is "lighter". hope it helped <33
Step-by-step explanation:
answer is you're question
Give the slope and y-intercept of
the line.
slope = [?], y-intercept = [ ]
Enter the number that belongs in the green box.
Enter
Answer:
Slope = 2, y-intercept = 3
Step-by-step explanation:
I will be calculating the slope of the line using these two points: (-1, 1) and (0, 3)
Slope = [tex]\frac{rise}{run}[/tex]
= [tex]\frac{3-1}{0-(-1)}[/tex]
= [tex]\frac{3-1}{0+1}[/tex]
= 2
Based on the graph, the y-intercept is 3.
PLEASE HELP ME ASAP!!! I WILL VOTE YOU BRAINLIEST IF YOUR ANSWER IS CORRECT!!
here is the graph:
0, 1 ,2 ,3 ,4 ,5 ,6 ,7
7, 14 ,28 ,56 ,112 ,224 ,448 ,896
here is the function:
f(x)=7(2)^x
Find the domain and range.
Answer:
14 and 5
Step-by-step explanation:
the range is 5 and the domane is 14
Esther deposited $5,000 into an account that grows at a rate of 8% per year. To the nearest cent, how much will be in the
account after 5 years?
Answer:
The total amount after five years = $7,000
Step-by-step explanation:
Step(i):-
Given Esther deposited $5,000 into an account
Principal amount 'P' = 5000
Given rate of interest (R) = 8%
r = R / 100 = 0.08 per year
Step(ii):-
The total amount after 5 years
[tex]A = P( 1 + r t )[/tex]
[tex]A = 5000(1+ (0.08 X 5) = 7000[/tex]
Final answer:-
The total amount after five years = $7,000
plz help the more i type and what not the more my wrist hurts so plz help ASAP SO I CAN REST IT
Answer:
You got the answer already but whatever
50.41 and 51.84
Step-by-step explanation:
Like you already have the answer up there.
What is the volume of a hemisphere with a diameter of 8 inches?
Answer:
Mind if ya brainiest meh
Step-by-step explanation:
The volume of the hemisphere is 1071.78 ft^3
An investor invested a total of $2100 in two mutual funds. One fund earned a 4% profit while the other earned a 2% profit. If the investor's total profit was $62, how much was invested in each mutual fund?
Answer:
x+y=2100
x(0.04) + y(0.02) = 62
(2100-y)(0.04)+ 0.02y = 62
84-0.02y = 62
22/0.02=y
y=1100
x=1000
What triangle congruence theorem could you use to
prove triangle ADE is congruent to triangle CBE?
Answer:
(ASA) Angle Side Angle
Step-by-step explanation:
Both triangles shown have the congruence line on an angle and an adjacent side. ASA proves congruence because in addition to the angle and side, the triangles ADE and CBE share the same angle on point E. Because the two lines are intersecting, their opposite angles are congruent and the triangles share the opposite angles.
The triangle congruence theorem that could be used to show that triangle ADE is congruent to triangle CBE is;
ASA Congruence theorem.
Looking at the given triangles we can say that;
∠AED = ∠CEB
This is because they are both vertically opposite angles and vertically opposite angles are equal.
Now, from the triangle, we are given that;
∠DAE = ∠BCE
We are also given that;
AE = CE
This means that we have 2 corresponding angles and 1 corresponding included side that are congruent.
Thus, the congruence theorem that this represents is ASA Congruence theorem.
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What does x equal I this problem
Answer: The answer is X= 9 Hope this helps :) Please mark Brainliest
Step-by-step explanation:
Cardinal number of set A=1,2,3,4,0,7 is 6
Answer:
n(A) = 6
Step-by-step explanation:
Let consider a set A = {a, m, b, d, h}. There are five elements in the set. The no of elements in a set is known its cardinality. Since set A has five elements, its cardinality number is 5. The cardinality of the set A is denoted by n(A).
Hence, from the given information:
The set A = {1, 2, 3, 4, 0, 7} have a cardinality number of 6
n(A) = 6
Please help me.? I'm stuck on this last question
Answer:
9-pack of hot dogs for $3.61
Answer:
Step-by-step explanation:
This is a question on the unit price. The better buy is the lower unit price. But that only works if you have 8 people to share the dogs with.
2 dogs cost 0.81
1 dog is 0.81/2 = 0.405 which you should write as 0.41
9 dogs are 3.61
1 dog is 3.61/9 = 0.401 what you (again) should be 0.41
Ever so marginally, you should pick the 2 dogs if there are only 2 people and 9 dogs if you are buying for a baseball team.
ILL MARK AS BRAINLESS
69 POINTS!! PLS HELP!! PLATO
if f(x)=the square root of x, which equation describes the graphed function?
Answer:
i think it’s C
Step-by-step explanation:
-f(x) represents -square root of x, so i plugged negative square root of x subtracted by three into desmos and it matches the graph !
Answer:
y = -f(x)-3
Step-by-step explanation:
Just took the edmentum/plato test and I got it right. I also included my answer
Work out an approximate solution to x^3+2x-1=0 use the iteration...... Help please!!!!?????
Approximate solutions are the estimate values of an equation
The approximate solution of the equation is x = 0.45
How to determine the approximate solutionThe equation is given as:
[tex]x^3 + 2x- 1= 0[/tex]
The iteration is given as:
[tex]x_{n+1} = \frac{1}{x_n^2 + 2}[/tex]
To start with, we have:
[tex]x_1 = 1[/tex]
So, we have:
[tex]x_2 = \frac{1}{1^2 + 2} = \frac 13 =0.33333333[/tex]
The next iteration is:
[tex]x_3 = \frac{1}{0.33333333^2 + 2} = 0.47368421102[/tex]
The next iteration is:
[tex]x_4 = \frac{1}{0.47368421102^2 + 2} = 0.4495641344[/tex]
The next iteration is:
[tex]x_5 = \frac{1}{0.4495641344^2 + 2} = 0.45411035264[/tex]
The next iteration is:
[tex]x_6 = \frac{1}{0.45411035264^2 + 2} = 0.45326473189[/tex]
Notice that:
x5 and x6 have the same value to 2 decimal places.
i.e. [tex]x_5 \approx x_6 = 0.45[/tex]
Hence, the approximate solution of the equation is x = 0.45
Read more about approximate solutions at:
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Give Brainliest (help ASAP)
Answer:
12a) 4L - 6 = Perimeter
13) 4(6x + 9)
Step-by-step explanation:
for #12: two sides of the rectangle are referred to as L
The other two sides can be referred to as L-3 (these sides are the width, which are 3 less than the length)
Perimeter = sum of all sides; so, 2L + 2(L-3)
P = 2L + 2L - 6
= 4L - 6
Answer: 12. The expression is 2L+2(L-3)
13. The answer is 6x+9
Step-by-step explanation:
12. The perimeter of a rectangle is 2*length +2*width. So, in this case (when L is the length of the rectangle) the perimeter should be 2L+2(L-3). If you simplify you will get 4L-6.
13. The perimeter is just the value you get when all the sides of a shape are added. A square has 4 equal sides. So, just divide the perimeter, which in this case is (24x+36), by 4. You should get 6x+9.
HELP ASAP PLEASE HELP QUICK!!!!
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Mrs. Berry's class organized the lunch orders for their upcoming party in the table below.
Lunch Orders for the Class Party
Lunch Choice
Number
Vegetarian Sandwich
3
Turkey Sandwich
7
Pepperoni Pizza
8
Cheese Pizza
10
Which ratio represents the number of orders for pepperoni pizza to cheese pizza?
O 4.5
05:4
10
8
18
10
Answer:
4:5 that's last answer i got
GIVING BRAINLY OUT FOR WHOEVER IS CORRECT AND FAST!
The length of a rectangle is twice as long as it's width. The perimeter of this rectangle is how many times longer than the shorter side?
Answer:
The formula for perimeter is the sum of
twice the width and twice the length, so
the formula would be:
Perimeter = 2W + 2L
In this problem:
Width is unknown (x)
Length is twice the width (2x)
and Perimeter = 60, so to set it up:
60 = 2x + 2(2x)
60 = 2x + 4x
60 = 6x
x = 10
Width = 10; Length = 20
So then you do 20/10
= 2
2 is the answer
Step-by-step explanation:
Hope this helps,
Please give brainliest if you like my answer.
A jar contains 600 marbles, 240 of which are blue. If Nancy reaches in and grabs a handful of 70 marbles, estimate how many of them should be blue?
Answer:
28 blue marbles
Step-by-step explanation:
600 divided by 240 = 2.5
70 divided by 2.5 = 28
The sale price of an item is $160 after a 20% off discount. What was the original price of the item?
Answer:
200
Step-by-step explanation:
160/80 is 2. 2 times 100 is 200
3x+4 = 4x+3 how many solutions are there
The equation 3x + 4 = 4x + 3 has one solution.
To determine the number of solutions for the equation 3x + 4 = 4x + 3, we can simplify and analyze the equation.
First, we can rearrange the equation by moving all the x terms to one side and the constant terms to the other side:
3x - 4x = 3 - 4
Simplifying further:
-x = -1
Next, we can multiply both sides of the equation by -1 to eliminate the negative sign:
x = 1
Therefore, we have found a single solution for x, which is x = 1. This means that when we substitute x = 1 into the original equation, both sides will be equal.
In summary, the equation 3x + 4 = 4x + 3 has one solution, which is x = 1. This can be verified by substituting x = 1 back into the equation and confirming that both sides are equal.
To learn more about the linear equation;
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IF YOU GOOD AT MATH PLZ HELP!!!! Algebra II
Answer :????
Answer:
C) lt is the graph of y=x^2 translated 6 units up and 5 units to the right.which term best decribes the graph of y= x-1
Answer: This is a linear equation. The graph is a diagonal line with a slope of +1. The y-intercept is -1
Step-by-step explanation: The line intersects the y-axis at -1 and the x-axis at +1
What is the correct "Name" for the given polynomial? f(x)=3x^2
Step-by-step explanation:
The given function f(x)=3x²=f(x)=3x²+0x+0 is a quadratic function
Which equation justifies why 7^1/3 = 3 square root 7?
Answer:
c
Step-by-step explanation:
I took the test and got it right
The correct equation that justifies why seven to the one-third power equals the cube root of seven is option C: [tex](7^{(1/3)})^3[/tex]=[tex]7^{(1/3 * 3)[/tex]=7.
C. Seven to the one-third power all raised to the third power equals seven to the one-third times three power equals seven.
Let's break down the steps:
Seven to the one-third power all raised to the third power:
[tex](7^{(1/3)})^3[/tex]
Using the property of exponents [tex](a^{(m*n)} = (a^m)^n)[/tex] to simplify:
[tex]7^{(1/3 * 3)[/tex]
The exponent 1/3 multiplied by 3 is equal to 1:
[tex]7^1[/tex]
Any number raised to the power of 1 is itself, so:
7
This justifies that [tex]7^{(1/3)[/tex] raised to the power of 3 is equal to 7.
Therefore, [tex]7^{(1/3)[/tex] is equal to the cube root of 7.
To learn more on exponent number click:
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What is 7,459,82 rounded to the nearest whole number? (Remember : the whole number is in the ONES place)
Answer this please ASAP or NOW
Answer:
7,460
Step-by-step explanation:
Whole numbers are counting numbers like 0, 1, 2, 3, . . .. Whole numbers are positive integers including 0
When rounding a number to the nearest whole number, firstly check the first digit after the decimal point. If the first digit is less than 5 we don't round up, but if the first digit is 5 or greater we round up.
Given the number 7,459.82
We check, the first digit after the decimal point, since this digit is greater than 5 (i.e. 8) we round u to get 7,460
pm - qrp = 5n; solve for p
Answer:
P=5n/m-qr
Step-by-step explanation:
Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
HELP ME PLEASSSSSSSSSSEEEEEEEEEEEEEEEEEEEE
Answer:
105
Step-by-step explanation:
because you multiply 5 times 3 which is 15 times 7 equals 105