Answer:
[tex]Area =192\pi[/tex]
Step-by-step explanation:
Given
[tex]\theta = 120^o[/tex]
[tex]r =24[/tex]
Required
The area of the shaded sector
This is calculated as:
[tex]Area =\frac{\theta}{360} * \pi r^2[/tex]
This gives
[tex]Area =\frac{!20}{360} * \pi *24^2[/tex]
[tex]Area =\frac{1}{3} * \pi *576[/tex]
[tex]Area =\pi *192[/tex]
[tex]Area =192\pi[/tex]
Shaquana went shopping for a new pair of sneakers because of a sale. The store was offering a 50% discount. What number should she multiply the prices on the tags by to find the price she would have to pay, before tax, in one step?
Answer:
.50
Step-by-step explanation:
50% is .50. The price of the item is .50 (100%-50% discount).
Find the length of x, round too the nearest tenth
Answer:
Step-by-step explanation:
take 66 degree as reference angle
using sin rule
sin 66=opposite/hypotenuse
0.91=x/16
0.91*16=x
14.56=x
14.6=x (after converting it to nearst tenth)
Which phrase best describes f(x), graphed on the coordinate plane below?
A.f(x) is an odd function.
B. f(x) is an even function.
C. f(x) is both odd and even.
D. f(x) is neither odd nor even.
Answer:
D
Step-by-step explanation:
Which of the following is equal to tan θ using coordinates on the unit circle? Question 18 options: A) x∕y B) y C) y∕x D) x
Step-by-step explanation:
tan 0 = y/x (as a drawing attached)
The requried, y/x is equal to tan θ using coordinates on the unit circle. Option C is correct.
What is a circle?The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by
(x - h)² + (y - k)² = r²
where h, k is the coordinate of the center of the circle on a coordinate plane and r is the radius of the circle.
Here,
In a unit circle, the coordinates of a point on the circle are (cos θ, sin θ), where θ is the angle formed by the radius of the circle and the positive x-axis. Therefore, the tangent of θ is given by the ratio of sin θ to cos θ, which is (sin θ)/(cos θ) = y/x. Simplifying this expression, we get tan θ = y/x.
Therefore, the answer is option C) y/x.
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Which statement is true?
A. All rectangles are parallelograms. Parallelograms have 2 pairs of parallel sides. Therefore, all rectangles have 2 pairs of parallel sides.
B. Only some rectangles are parallelograms. Parallelograms have exactly 1 pair of parallel sides. Therefore, only some rectangles have exactly 1 pair of parallel sides.
C. All rectangles are parallelograms. Parallelograms have exactly 1 pair of parallel sides. Therefore, all rectangles have exactly 1 pair of parallel sides.
D. Only some rectangles are parallelograms. Parallelograms have 2 pairs of parallel sides. Therefore, only some rectangles have 2 pairs of parallel sides.
Answer:
The correct answer is A I believe . . .
Answer:
A. All rectangles are parallelograms. Parallelograms have 2 pairs of parallel sides. Therefore, all rectangles have 2 pairs of parallel sides.
Step-by-step explanation:
Rectangles are parallelograms since they have 2 pairs of parallel sides. All rectangles also have 4 right angles and 2 pairs of opposites sides that are of equal lengths.
which exponential equation is equivalent to this logarithmic equation?
Answer:
the answer is A
Step-by-step explanation:
[tex] log_{x}(5 \times 12 ) = 7 \\ \: then \: log_{x}(60) = 7 \\ \: then \: {x}^{ log_{x}(60) } = {x}^{7} \\ {x}^{7} = 60[/tex]
Plz help me. I need to ace this. Thxx
Answer:
Their intersection point is the only point where the same input into both functions yields the same output.
Step-by-step explanation:
In this case, x = 0 and y = 5.
G varies inversely with the square
of H. When H is 4, G is 0.25.
Find the value of G when H is 0.3.
Answer:;4.4
Step-by-step explanation: Since it varies inversely we know G times H squared is equal to some constant, k. So we have G*H*H=k. We are told that when H=4, G=.25. Plugging this in, we have .25*4*4=k. This simplifies to 4=k. Our new equation is G*H*H=4. Now, we want to solve for G when H=.3. We plug it in. G*.3*.3=4 => G*.09=4. G=4/.09. This means G is approximately 44.4.
Answer:
G = 44.44
Step-by-step explanation:
Given the mathematical expression and data;
[tex] G = \frac {1}{H^{2}} [/tex]
H = 4 and G = 0.25
First of all, we would determine the constant of proportionality, k.
[tex] G = \frac {k}{H^{2}} [/tex]
Making k the subject of formula, we have;
k = GH²
Substituting the values, we have;
k = 0.25 * 4²
k = 0.25 * 16
k = 4
Next, we find the value of G when H = 0.3;
[tex] G = \frac {k}{H^{2}} [/tex]
[tex] G = \frac {4}{0.3^{2}} [/tex]
[tex] G = \frac {4}{0.09} [/tex]
G = 44.44
For the given corporate bond, whose annual simple interest rate is provided, find the
semiannual simple interest payment and the total interest earned over the life of the bond. As soon 365 days in a year.
$5200 company A, 30 year bond, 6.273%
Answer:
reagain and none that I know about the other day and none that I know that you are
An ornithologist has 4 bird feeders at separate locations. She wonders if birds are equally likely to visit each of the feeders. She recorded data for a sample of 300 recent visits. Here are the results:
Feeder 1 2 3 4
Observed visits 60 90 92 58
A test is performed to determine if these results suggest that birds visit one specific feeder more often than the other feeders. What is the xa test statistic?
a. 13.71
b. 0
c. 14.37
d. 3
e. 1028
Answer:
the x² test statistic 13.71
Option a) 13.71 is the correct answer.
Step-by-step explanation:
Given the data in the question;
Feeder 1 2 3 4
Observed visits; [tex]o_i[/tex] 60 90 92 58
data sample = 300
Expected [tex]e_i[/tex] = 300 / 4 = 75
the x² test statistic = ?
[tex]X^2_{stat[/tex] = ∑[ ([tex]o_i[/tex] - [tex]e_i[/tex])²/[tex]e_i[/tex]]
[tex]X^2_{stat[/tex] = [ (60 - 75)² / 75 ] + [ (90 - 75)² / 75 ] + [ (92 - 75)² / 75 ] + [ (58 - 75)² / 75 ]
[tex]X^2_{stat[/tex] = [ 3 ] + [ 3 ] + [ 3.8533 ] + [ 3.8533 ]
[tex]X^2_{stat[/tex] = 13.7066 ≈ 13.71
Therefore, the x² test statistic 13.71
Option a) 13.71 is the correct answer.
James Burke states that there is a 72% chance a polygraph test (lie detector test) will catch a person who is, in fact, lying. Furthermore, there is approximately a 7% chance that the polygraph will falsely accuse someone of lying.
Required:
a. Suppose a person answers 87% of a long battery of questions truthfully. What percentage of the answers will the polygraph wrongly indicate are lies?
b. Suppose a person answers 13% of a long battery of questions with lies. What percentage of the answers will the polygraph correctly indicate are lies?
Answer:
a) 6.09 %
b) 9.36 %
Step-by-step explanation:
a) Given
% of questions that are truthful = 87% = -.87
% of right questions that are falsely indicated as lies = 7%
Percentage of the answers that the polygraph wrongly indicate as lies = 0.87 * 0.07 = 0.0609 = 0.1 = 10%
b) % of answers that are lies = 13% = 0.13
% of answers that are correctly caught as lies = 72%
percentage of the answers that the polygraph will correctly indicate as lies
= 0.13 * 0.72 = 0.0936 = 0.1 = 10 %
Marco made 2 errors in solving the following inequality. Identify the mistakes and correctly solve.
-18 - 4y > 20
-4y > 2
y > -1/2
Answer:
Step-by-step explanation:
When moving -18 to the other side, he didn’t do 20 + 18. (Mistake 1)
When dividing 2/-4 he didn’t flip the inequality from > to <. (Mistake 2)
Correct:
[tex]-18-4y<20\\-4y<38\\y > -9.5 (or -4\frac{1}{2}[/tex]
2 apples plus 2 apples
Answer:
4 apples
Step-by-step explanation:
2 + 2 = 4
Hope this helps!
Good Luck!
:)
If you can, please mark me bralinest
2 + 2 = 4
Answer = 4 apples
hope this helped :)
Belts are made in sizes Small, Medium, Large and Extra Large.
Jenny needs to order more belts in June.
The modal size of belts sold is Small.
Jenny is going to order 4 of the belts in size Small.
The manager of the shop tells Jenny she should not order so many Small belts.
(b) Who is correct, Jenny or the manager?
You must give a reason for your answer.
Answer:
I think the manager is correct because Jenny should not order the belts according to its sold quantity or according to the demand of other people.She must choose the size according to her waist size and the other's for whom she is going to buy.
Will you mark it the brainliest please because I answered your question inspite of being in class:)
At a pottery shop, there are 7 vases for every 3 planters.
Which of the following shows the ratio of planters to vases at the shop?
Answer:
3:7
Step-by-step explanation:
a ratio is a representation of a certain amount of two items. since there are 7 vases for every 3 planters, the amount of vases versus the amount of planters is represented by 3:7
The volume of a cylinder is 72 pie cm3. If the radius is 3cm, what is the height of the cylinder?
Answer:
A
Step-by-step explanation:
maybe
Answer:
Step-by-step explanation:
2.55cm
In ΔNOP, o = 64 inches, p = 83 inches and ∠N=168°. Find the area of ΔNOP, to the nearest square inch.
Answer:
552
Step-by-step explanation:
Area of a Triangle→S.A.S.
Area=1/2 ab sin C
area = 1/2 (64)(83) sin 168
area=552.213=552
If ΔNOP, o = 64 inches, p = 83 inches and ∠N=168°.Then area of ΔNOP is 552 square inch.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Given,
ΔNOP, o = 64 inches, p = 83 inches and ∠N=168°.
The length of two sides and an angle is given.
So we can use SAS postulate
The SAS postulate says that if two sides of one triangle and the angle included between them are congruent to two sides and the included angle of a second triangle, then the triangles are congruent.
Area of a Triangle
Area=1/2 absin C
area = 1/2 (64)(83) sin 168
area =2656 sin 168
area=552.213=552
Hence area of ΔNOP, to the nearest square inch is 552 square inch
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Divide a line which is 20m long in the ratio 3:7
Answer: 6:14
Step-by-step explanation:
3 + 7 = 10x
10x of 20 = 20/10
10x of 20 = 2
3*2:7*2 = 6:14
Answer:
6:14
Step-by-step explanation:
3+7= 10... Double the numbers. The line should be drawn so that 6 is on one side and 14 are on the other.
What is the length of the base edge labeled x?
Answer:
It is six cm。
Step-by-step explanation:
How many meters are in 9 kilometers? 90,000 meters 9,000 meters 900 meters 90 meters
Answer:
9000 metres
Step-by-step explanation:
a kilometer has 1000 metres
so 9 kilometers has 9*1000 = 9000 metres
Answer:
Step-by-step explanation:
1 km=1000m
9 km=1000*9m
=9000 m
Graph the system of equations. { -x +2y = -8, 2x + y =6. Will Mark Brainliest. Need ASAP
Answer:
Graph the -x+2y=-8 as y=1/2x-4
and 2x+4=6 as y=-2x+6
Step-by-step explanation:
hope you understand how to graph y=mx+b equations.
A store manager is marking down easels from $40 to $28. What is the discount, as a
percentage?
Write your answer using a percent sign (%).
Answer:
30% discount
that's a big discount!
Answer:
30%
Step-by-step explanation:
What is the equation of the line that passes through the given point and is perpendicular to the given line?
Point: (1,1)
Line: y=1/5x+4/5
Step-by-step explanation:
Hey there!
The equation of a line which passes through the point (1,1) is (y-1) = m1 (x-1)...............(i) {using one point formula}
Also, another equation which is perpendicular to the line is y = 1/5 x + 4/5..........(ii)
Comparing equation (ii) with y= mx+c, we get;
Slope (m2) = 1/5.
Now, As per the condition of perpendicular lines,
m1*m2 = -1
or, m1 * 1/2 = -1
or, m1= -2
Therefore, m1 = -2.
Keeping the value of m1 in equation (i) we get;
y-1 = -2(x-1)
y-1 = -2x+1
or, y+2x-2= 0
Therefore, the required equation is 2x+y-2= 0.
Hope it helps!
Find the missing side length, and enter your answer in the box below. If
necessary, round your answer to 2 decimal places.
12
16
Answer here
Pythagorean theorem. A^2+B^2=C^2.
So 12^2+16^2=c^2
144+256=c^2
400=c^2
square root of 400=c
So C=20
Hit the heart if it was helpful :D
Step-by-step explanation:
Write what you know
Pythagorean theorum
a^2 + b^2 = c^2
rearrange and solve for c
sqrt(a^2 + b^2) = c
plug and chug
an integer is 8 less than 5 times another product is 85. find the integers
Answer:
x=5, x=-17/5
Step-by-step explanation:
x=integer
5x-8= ...is eight less than five times another product
=85
So our equation is x·(5x-8)=85
Steps:
distribute x
5x^2-8x=85
Subtract 85 to create a quadratic equation
5x^2-8x-85=0
Now I"ll upload the work that's shown in Symbolab because it's neater than my own work-
Hope I helped, have a nice day :)
I appreciate if someone help me with this. is due today. Thanks
Answer:
Step-by-step explanation:
take 23 degree as reference angle
using tan rule
tan 23=opposite/adjacent
0.42=x/3.2
3.2*0.42=x
1.34=x
1.3=x
Answer:
x equals to about 1.36
Step-by-step explanation:
Okay so first of all list write out Sin Cos and Tan. SOH-CAH-TOA
Now lets see what we are given. For the reference angle we are given 23.
We are also given 3.2 which is the adjacent angle. And the angle opposite of the reference angle is x. So all in all we have <23, Adjacent length 3.2, opposite length x.
Now we see which one would fit for this. That would be Tan since it deals with adjacent and opposite angles.
Now lets write it out as an equation. tan(23)= x/3.2 | Okay now next to get x alone we move it to the right side. That would leave us with tan(23)*3.2 which equals to about 1.36 "1.35831941187". Remember to use degree and not radiant.
An image is also added.
Hope it helps.
Write an explicit formula for an, the nth term of sequence 2,4,8
Answer:
2^n will be your explicit formula for this sequence.
Step-by-step explanation:
By analyzing the sequence;
2=2^1
4=2^2
8=2^3
and so on
We find that the numbers of this sequence progresses with 2 to the power of the nth term such as for 3rd term we have 2^3 which is 8.
Pls help, will mark brainliest!
Answer:
x=45
Step-by-step explanation:
this should be right
What is the probability of choosing 2 red marbles and one black marble from a bag containing 7 black marbles, 8 red marbles & 10 blue marbles
Answer:
The probability would be 3/25
Which point is the vertex for the graph of y= |x| + 2?
A. (0,0)
B. (0,1)
C. (0,-2)
D. (0,2)
E. (2,0)
The correct answer is vertex of the graph D. (0, 2).
To find the vertex of the graph of the function y = |x| + 2, we need to determine the point where the function reaches its minimum or maximum value.The graph of y = |x| is a V-shaped graph with the vertex at the origin (0, 0). When we add 2 to this function, the graph is shifted upward by 2 units.So, the vertex of the graph of y = |x| + 2 is at (0, 2).
Therefore, the correct answer is D. (0, 2).The function y = |x| + 2 represents a V-shaped graph, and the vertex of this graph occurs at the origin (0, 0). By adding 2 to the function, the graph is shifted upward by 2 units. Therefore, the vertex of the modified function y = |x| + 2 is found by shifting the original vertex (0, 0) vertically by 2 units. This means the new vertex is located at (0, 2). This point represents the minimum value of the function, as it is the lowest point on the graph.
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