Answers
The area of the shaded region = area of semicircle - area of triangle ACB = 11.32 cm².
What is the Area of a Semi-circle and Triangle?Area of a triangle = 1/2(base)(height).
Area of a semi-circle = 1/2(πr²).
m∠ACB is a right triangle based on the central angle theorem. Therefore, ΔACB is a right triangle.
Radius of circle = OC = 4 cm
CB = 4 cm
Diameter AB = 2(4) = 8 cm
Using the Pythagorean theorem, find AC in ΔACB:
AC = √(AB² - CB²)
AC = √(8² - 4²)
AC ≈ 6.9 cm
Area of ΔACB = 1/2(CB)(AC)
Area of ΔACB = 1/2(4)(6.9)
Area of ΔACB ≈ 13.8 cm²
Area of semicircle = 1/2(πr²) = 1/2(π)(4²)
Area of semicircle ≈ 25.12 cm²
Area of the shaded region = area of semicircle - area of triangle ACB = 25.12 - 13.8
Area of the shaded region = 11.32 cm²
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Related Questions
Which number line represents the solution set for the inequality 3(8 – 4x) < 6(x – 5)?
A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the left.
A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right.
A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the left.
A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the right.
Answers
The option second "A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right" is correct.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
The options are attached in a picture please refer to the attached picture.
We have an inequality:
3(8 – 4x) < 6(x – 5)
After solving:
8 - 4x < 2(x - 5)
8 - 4x < 2x - 10
8 + 10 < 2x + 4x
18 < 6x
3 < x or
x > 3
x ∈ (3, ∞)
Thus, the option second "A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right" is correct.
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Find x.
A composite figure consisting of two right angled triangles lying next to each other. Two sides of the triangle on the left are labeled as 13 millimeters and 5 millimeters. Two sides of the triangle on the right are labeled as x and 35 millimeters.
Answers
The value of x is 28 millimeters in the composite figure of two right-angled triangles lying next to each other
What is a composite figure?A composite figure is a figure that is produced from the combination of two geometric shapes together.
The diagrammatic expression of a composite figure consists of two right-angled triangles lying next to each other can be seen in the image attached below.
For the left-side right-angled triangle, we have:
13² = h² + 5²
h² = 13² - 5²
h = √(169-25)
h = 12
Recall from the diagram that:
h² = pq
If p = 5 and q = x∴
12² = 5x
x = 144/5
x ≅ 28 millimeters
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Given the equation 2(3x − 4) = 5x + 6, solve for the variable. Explain each step and justify your process.
Charlie solved a similar equation below. Is Charlie's solution correct? Explain why or why not.
4x − 3 = 2(x − 1)
4x − 3 = 2x + 2
2x − 3 = 2
2x = 6
x = 3 (10 points)
Answers
First, expand the bracket.
6x-8=5x+6
Next, move the variables to the same side.
x-8=6
Move the -8 to the other side, change to +
x=6+8
x=14
Charlie’s solution is incorrect. When expanding the bracket, he changed the - to a +.
Question in the Picture
Answers
Step-by-step explanation:
the picture is not representing the real angle sizes. so, don't let yourself get confused by that.
the right neighbor angle of 90° at E is also 90°.
it has to be, because it is the supplementary angle to the left 90° (that means together they are 180°).
remember, all angles around a single point on one side of a line have to sum up to 180° (because the line can be seen as the diameter of a circle, with the point being the center of the circle, and so one side of the line is representing a half-circle and therefore 180°).
for the same reason angle 1 (the lower neighbor of the 90° angle at A) is also 90°.
for the same reason the lower neighbor angle of the 60° angle at E is 180 - 60 = 120°.
for the same reason the angle ABC is 180 - 40 = 140°.
for the angle BCD we need to remember :
the sum of interior angles of a polygon with n sides is
(n − 2) × 180°.
in our case ABCDE has 5 sides, so the sum of all interior angles is
(5 - 2) × 180 = 3×180 = 540°
we know 4 of the interior angles already, so
angle BCD = 540 - 90 - 90 - 120 - 140 = 100°
x is now the supplementary angle to the angle BCD.
so,
x = 180 - 100 = 80°
Which fraction is equal to 0.38?
A. 3/8
B. 3/11
C. 19/5
D. 19/50
Answers
19/50 multiply 2 on numerator and denominator it becomes 38/100
38/100 = 0.38 since 38/100 is 38 divide by 100 which is 0.38
Answer:
D. 19/50
Explanation:
Write 0.38 as
0.38/1
Multiply both numerator and denominator by 10 for every number after the decimal point
0.38 × 100
1 × 100
=
38/100
Reducing the fraction gives
19/50
What does nine + ten equal?
Answers
Answer:
9 + 10 = 19
Step-by-step explanation:
im guessing your bored too LOL
Answer:
19 because you add 10 with 9 to get 19
18 lb. 6 oz. divided by 7
Answers
Answer:
42 ounces
Step-by-step explanation:
18 x 16 = 288
288 + 6 = 294
294/7 = 42
1-pound equals 16 ounces, since there are 18 pounds you will multiply 18 pounds by 16, then you will get 288, add your 6 ounces from the question, you will get 294, lastly divide by 7, which you will end up with 42
please someone with a good heart help me ;-;
Answers
Answer:
87.5 ft^3
Step-by-step explanation:
Formula:
Volume = length x width x height.
Dimensions:
Length = 3 1/2 ft = 7/2 ft
Width = 5 ft
Height = 2 1/2 ft = 5/2 ft
Substitute and Find Volume:
Volume = (7/2 ft) x (5 ft) x (5/2) ft
Volume = 87.5 ft^3
There are 60 feet between the bases on a softball diamond. How far does a catcher throw drone home plate to second base
Answers
Answer: [tex]12\sqrt{5}[/tex]
Required theorem:
Pythagorean theorem = [tex]a^2 + b^2=c^2[/tex]
In other words, one side length squared + another side length squared = the middle lined squared.
Step-by-step explanation:
[tex]60^2+60^2 = c^2\\\\360+360=c^2\\\\720=c^2\\\\\ \sqrt{c^2} =\sqrt{720}\\\\c=+/- 12\sqrt{5}[/tex]
We can only have a positive distance so your final answer is :
[tex]12\sqrt{5}[/tex]
The scatterplot shows no correlation, a positive correlation, a negative correlation. Because the values of y decrease, increase, stay the same. As the values of x increase
Answers
The scatterplot shows no correlation, a positive correlation, a negative correlation. Because the values of y stay the same, increase, decrease, as the values of x increase.
What is scatterplot?Scatterplot shows relation between two quantitative variables measured for the same element.
The negative correlation shows that y decreases when x increases.
The positive correlation shows that y increases when x decreases.
No correlation shows shows that there is no change in the value of y when x stay same.
Thus, The scatterplot shows no correlation, a positive correlation, a negative correlation. Because the values of y stay the same, increase, decrease, as the values of x increase.
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What is the inequality shown?
-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9
Answers
Step-by-step explanation:
well it could be -10 < x < 10
or -9 ≤ x < 10
or -10 < x ≤ 9
or -9 ≤ x ≤ 9
Is this congruent yes or no explain why
Answers
Answer:
Yes, they are congruent. They must be congruent because you know that 3 out of the 3 angles are identical between the two triangles. You know this because both triangles have a right angle (90°) and another identical angle (the two curves). This means that the 3rd angle for both triangles must be identical as well. Therefore, the triangles are the same.
A cone has a height of 15 feet and a radius of 11 feet. What is its volume?
Use ≈ 3.14 and round your answer to the nearest hundredth.
cubic feet?
Answers
Answer: 1899.70 cu ft
Step-by-step explanation:
Cone volume = 1/3 TT r^2 h
V= (1/3) (3.14) (11^2) (15)
V=1899.70 cu ft
lynn has 19 songs in her favourite playlist. hazel has eight more songs than lynn in hers. how many songs are in hazel's favourite playlist
Answers
27
Explanation:
Since hazel has 8 more songs than lynn in her favourite playlist, we can add 8 to the number of songs lynn has in her playlist.
19+8
=27
Hope i explained properly.
Which of the following statements is true about rays?
OA. They are zero-dimensional objects
B. They are one-dimensional objects,
OC. They are three-dimensional objects
OD. They are two-dimensional objects
Answers
Answer: B. They are one-dimensional objects
This applies to line segments and lines as well.
One dimensional objects are such that they only have one component to them when it comes to determining a location on that object.
For instance, a number line is one dimensional because we only need one number to determine where a location is.
A ray is effectively a half-line, or put another way, a line is the combination of two rays glued together. Basically a ray points forever in one direction only, as a line will point in two opposite directions.
Extra side notes:
I can't think of any zero dimensional objects off the top of my head.3D space is a 3 dimensional object because we need 3 coordinates to determine an exact location.A flat 2D plane is a 2 dimensional object because we need 2 coordinates to determine a location.Answer: B
Step-by-step explanation:
please helppp!!!
Angle Y is inscribed in the circle below. The measure of arc XZ is 205°.
What is the measure of angle Y?
Answers
The measure of the angle Y from the given diagram is 102.5 degrees
Circle theoremIn order to determine the unknown angle, we will use the theorem "angle at the vertex is half the angle at its intercepted arc".
Given the following
angle at the arc= 205 degrees
required
angle at the vertex Y
According to the theorem;
<Y = 1/2arcXZ
<Y = 1/2(205)
<Y = 102.5 degrees
Hence the measure of the angle Y from the given diagram is 102.5 degrees
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can someone please help me find a line passing through the points (3,8) and (5,10)? I will reward branliest to the one who gets it correct.
Answers
Answer:
maybe the answer is x-y =-5
The graph shows two lines, A and B.
A graph is shown with x- and y-axes labeled from 0 to 6 at increments of 1. A straight line labeled A joins the ordered pair 2, 6 with the ordered pair 5, 0. Another straight line labeled B joins the ordered pair 0, 2 with the ordered pair 6, 6.
Part A: How many solutions does the pair of equations for lines A and B have? Explain your answer. (5 points)
Part B: What is the solution to the equations of lines A and B? Explain your answer. (5 points)
Answers
Answer:
A. one solution; lines intersect at one point
B. (x, y) = (3, 4)
Step-by-step explanation:
A linear equation will be represented on a graph by a straight line. A pair of equations will graph as a pair of lines. If the lines are not coincident or parallel, they will intersect at exactly one point. That point is the solution to the pair of equations.
__
A.A graph of the given points quickly shows the lines are not parallel or coincident. Each point on line A satisfies the equation that describes the line. Each point on line B satisfies the equation that describes line B. The point of intersection is a point that satisfies both equations.
A pair of distinct non-parallel lines can have at most one point of intersection. Hence there can only be one solution to the pair of equations.
__
B.The graph shows the solution to the equations for lines A and B is ...
(x, y) = (3, 4)
Sally has only 10-pence and 50 pence coins in her purse. She has 21 coins altogether with a total value of $5.30. Calculate how many of each coin type does she have?
Answers
Answer:
It is 13 and 8. Look down below and you will know the answer is right:
Step-by-step explanation:
10x+50(21-x)=530
10x+1050-50x=530
-40x=530-1050
-40x=-520
x=-520/-40
x=13
10 cent coin 13
50 cent coin 8
Hope it helps and mark me as brainliest everyone!!!
What does a plant cell have that an animal cell does not have? (select all that apply.) please answer me
Answers
Step-by-step explanation:
plant cells have a cell wall for to prepared their own food but animal cell haven't cell wall
plant cell have a large vacuoles but in plant cell it has Avery small vacuoles the two have the main difference between animal cell plant cell
9/12 devided by 2/12
Answers
[tex]\textbf{Given that,}\\\\~~~\dfrac 9{12} \div \dfrac{2}{12}\\\\\textbf{We can rewrite it as}\\\\~~~~\dfrac{9}{12} \times \dfrac 1{\tfrac{2}{12}}\\\\\\=\dfrac {9}{12} \times \dfrac{12}2\\\\\\=\dfrac 92\\\\\\=4.5\\\\\textbf{Hence the quotient is}~ \dfrac 92 ~ \textbf{or}~ 4.5.[/tex]
Question in the picture can anyone explain me how to convert mixed to improper??
1/6+2/4
Answers
The addition of the given fractions ( 1/6 + 2/4 ) to its simplest fraction form is 2/3.
What is the addition of the fraction?Given that;
1/6 + 2/4Addition = ?1/6 + 2/4
First, multiply the denominators then cross-multiply nominators and denominators.
1/6 + 2/4 = ( (6×2) + ( 4×1 ) ) / 6 × 4
1/6 + 2/4 = ( 12 + 4 ) / 24
1/6 + 2/4 = 16 / 24
We simplify
1/6 + 2/4 = 16 / 24 = 2/3
Therefore the addition of the given fractions ( 1/6 + 2/4 ) to its simplest fraction form is 2/3.
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Write your answer in simple solution (4x^3+2x+6)+(2x^3-x^2+2)
Answers
By percent, how much greater do sales of horror books appear to be than sales of cookbooks? how much greater are they in reality? a. there appear to be 50% more sales of horror books than cookbooks, but there are really only about 20% more. b. there appear to be 40% more sales of horror books than cookbooks, but there are really only about 5% more. c. there appear to be 20% more sales of horror books than cookbooks, but there are really only about 10% more. d. there appear to be 25% more sales of horror books than cookbooks, but there are really only about 2% more.
Answers
There appear to be 25% more sales of horror books than cookbooks, but there are really only about 2% more.
How much greater is the sale of horror books compared to cookbooks?
Percentage is a measure of frequency that expresses the ratio of two numbers as a value out of 100.
Percentage of horror books to comedy books = [(number of horror books sold / number of comedy book) - 1 ] x 100
[(55 / 54) - 1] x 100 = 2%
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Please I need help asap
Answers
Answer:
Option D
Step-by-step explanation:
[tex]\frac{2}{3}x=\frac{12}{5}[/tex]
[tex]x=(\frac{12}{5} )(\frac{3}{2} )=\frac{36}{10} =\frac{18}{5} =3\frac{3}{5}[/tex]
Hope this helps
PLEASE HELP URGENT
A triangle has one side that is 5 units long, one 25° angle, and one 90° angle. Complete the two diagrams to create two different triangles with these measurements. Label the 90° angle in each diagram.
Answers
Answer:
see attached
Step-by-step explanation:
The two different triangles can be formed by placing the 90° angle adjacent to, or opposite the given side.
__
In the attached diagram, the two triangles are ABC and ABD. The right angles are at vertex C and vertex B, respectively.
The graph of h(x) is a translation of f (x) = RootIndex 3 StartRoot x EndRoot.
On a coordinate plane, a cube root function goes through (negative 3, negative 1), has an inflection point at (negative 2, 0), and goes through (negative 1, 1).
Which equation represents h(x)?
h (x) = RootIndex 3 StartRoot x minus 2 EndRoot
h (x) = RootIndex 3 StartRoot x + 2 EndRoot
h (x) = RootIndex 3 StartRoot x EndRoot minus 2
h (x) = RootIndex 3 StartRoot x EndRoot + 2
Answers
Transformation involves changing the form of a function. The function that represents is C; [tex]g(x) =- \sqrt[3]{x+1}[/tex]
What is a function?The function is a type of relation, or rule, that maps one input to specific single output.
Function f(x) is given byy;
[tex]g(x) = \sqrt[3]{x}[/tex]
f(x) is reflected across the x-axis.
The rule of this transformation (i.e. reflection) is:
(x, y) ⇒ (x, - y)
So,
[tex]f'(x) = -f(x)[/tex]
This gives
[tex]f'(x) = - \sqrt[3]{x}[/tex]
Now, f'(x) is translated 1 unit left
The rule of this transformation (i.e. translation) is:
(x, y) ⇒ (x+ 1, y)
So,
g(x) = f'(x+ 1)
This gives
[tex]g(x) = -\sqrt[3]{x+1}[/tex]
Hence, the function that represents g(x) is (c)
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Answer:
Step-by-step explanation:
its B on Edge just did it
If you have (4-9x)+23/9 what is the value of x
A 17
B 23
C 5
D 2
Answers
Step-by-step explanation:
Do you have a final product for the equation.
I am unable to find the missing part of the peoblome without a total to sum up to.
Sorry...
simplify fully a+1/3a +7/6a
Answers
I hope it helps:)
Answer:
5/2a
Step-by-step explanation:
Factor out common term a: a ( 1 + 1/3 + 7/6)
= a( 1+ 1/3 + 7/6)
1+ 1/3 + 7/6 = 5/2
= a5/2
= 5/2a
Ethan is looking to take out a mortgage for $620,000 from a bank offering an annual interest rate of 4.5%, compounded monthly. Using the formula below, determine his monthly payment, to the nearest dollar, if the loan is taken over 25 years.
Answers
His monthly payment to the nearest dollar of the loan taken over 25 years = $4,391.67
Calculation of monthly paymentThe mortgage capital = $620,000
The rate of payment of interest= 4.5%
The period for the payment = 25 years.
Simple interest
= p×T×R/100
= $620,000 × 25 × 4.5/100
= 69750000/100
= $697,500
Therefore the total amount of money that will be generated = $620,000 + $697,500 = $1,317,500
Therefore the monthly payment,
= $1,317,500/12×25
= $4,391.67
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