Answers
Answer:
A or C
Is my best I got stuck A or C
Answer:
[tex]\text{C. about }72.05\:\mathrm{cm^2}[/tex]
Step-by-step explanation:
This is a very fun problem that requires the use of multiple concepts to solve.
Concepts/formulas used:
The measure of an inscribed angle is half the measure of the arc it formsThere are 360 degrees in a circleThe sum of the interior angles of a triangle add up to 180 degreesLaw of Sines is given by [tex]\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}[/tex] All radii of a circle are exactly half all diameters of the circleThe area of a circle with radius [tex]r[/tex] is given by [tex]A=r^2\pi[/tex]The measure of an inscribed angle is equal to half the measure of the arc it forms. In circle Z, [tex]\angle XVY[/tex] is an inscribed angle that forms arc XY. Since XY is 40 degrees, angle XVY must be [tex]40\div 2=20^{\circ}[/tex].
Similarly, [tex]\angle VYX[/tex] is also an inscribed angle and forms arc XV. Notice how arc XY and arc XV form arc VY, which is half the circumference of the circle, since segment VY is a diameter of the circle. Since there are 360 degrees in a circle, arc VY must be 180 degrees. Therefore, we have:
[tex]\widehat{XY}+\widehat{XV}=180^{\circ},\\\widehat{XV}+40^{\circ}=180^{\circ},\\\widehat{XV}=140^{\circ}[/tex]
Now we can find the measure of angle VYX, using our knowledge that the measure of an inscribed angle is half the measure of the arc it forms.
[tex]m\angle VYX=\frac{140}{2}=70^{\circ}[/tex]
Now, we have two angles of triangle VXY. Since the sum of the interior angles of a triangle add up to 180 degrees, the third angle, [tex]\angle VXY[/tex], can be found:
[tex]\angle VXY+\angle VYX+\angle XVY=180^{\circ},\\\angle VXY+20^{\circ}+70^{\circ}=180^{\circ},\\\angle VXY+90^{\circ}=180^{\circ},\\\angle VXY=90^{\circ}[/tex]
We can now use this angle and the Law of Sines to find the length of segment VY. The Law of Sines works for any triangle and is given by [tex]\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}[/tex] (the ratio of any angle and its opposite side is maintained throughout all angles of the triangle).
Since angle VXY's opposite side is VY and angle VYX's opposite side is VX, we have the following proportion:
[tex]\frac{\sin 70^{\circ}}{9}=\frac{\sin 90^{\circ}}{VY}[/tex]
Recall that [tex]\sin 90^{\circ}=1[/tex]. Cross-multiply:
[tex]9\sin 90^{\circ}=VY\sin 70^{\circ},\\9=VY\sin 70^{\circ},\\VY=\frac{9}{\sin 70^{\circ}}[/tex]
This is the diameter of the circle. By definition, all radii are half the diameter. Therefore, the radius of the circle is [tex]\frac{9}{\sin 70^{\circ}}\cdot \frac{1}{2}=\frac{9}{2\sin 70^{\circ}}[/tex].
The area of a circle with radius [tex]r[/tex] is given by [tex]A=r^2\pi[/tex]. Substitute [tex]r=\frac{9}{2\sin 70^{\circ}}[/tex] to get the area of circle Z:
[tex]A=(\frac{9}{2\sin 70^{\circ}})^2\pi,\\A\approx (4.78879997614)^2\pi,\\A\approx 22.9326052115\pi,\\A\approx \boxed{72.05\:\mathrm{cm^2}}[/tex]
Related Questions
Which statement is true about whether Z and B are independent events?
Z and B are independent events because P(Z∣B) = P(Z).
Z and B are independent events because P(Z∣B) = P(B).
Z and B are not independent events because P(Z∣B) ≠ P(Z).
Z and B are not independent events because P(Z∣B) ≠ P(B).
Answers
Answer:
Z and B are independent events because P(Z∣B) = P(Z).
Step-by-step explanation:
After a small online search, I've found a table to complete this problem, that we can see below.
For two events Z and B, we have:
P(Z|B) = probability of Z given that B
such that:
P(Z|B) = P(Z∩B)/P(B)
So, two events are independent if the outcome of one does not affect the outcome of the other.
So, if the probability of Z given B is different than P(Z) (the probability of event Z) means that the events are not independent.
So Z and B are independent if the probability of Z given B is equal to the probability of Z.
P(Z|B) = P(Z)
In the table we can see:
P(Z|B) will be equal to the quotient between all the cases of Z given B (126) and the total cases are given B (280)
P(Z|B) = 126/280 = 0.45
Similarly, we can find P(Z):
And P(Z) = 297/660 = 0.45
So we can see that:
P(Z|B) = P(Z)
Thus, B and Z are independent.
Write the number one thousand and four in figures
Answers
Answer:
1004 is the correct awnser
Step-by-step explanation:
pls give me brainliest
Answer:
1004
Step-by-step explanation:
one thousand = 1000
four = 4
1000+4 =1004
Which of the following angles is coterminal with - 2pi/3
Answers
Answer:
[tex]\frac{2\pi }{3} +x=2\pi[/tex]
[tex]x=2\pi -\frac{2\pi }{3}[/tex]
[tex]=\frac{4\pi }{3}[/tex]
[tex]OAmalOHopeO[/tex]
math simplify (7a+5b-2c) + (5a+7b) + (2a-7c) + (2a-5b+3c) algebra
Answers
Answer:
[tex]-10a^2+25ab-15ac+12a+12b-2c[/tex]
Step-by-step explanation:
[tex](7a+5b-2c)+(5a+7b)+(2a-7c)+(2a-5b+3c)[/tex]
Distribute:
[tex]=7a+5b-2c+5a+7b+(2a)(2a)+(2a)(-5)+(2a)(3c)+(-7a)(2a)+(-7a)(-5b)+(-7a)(3c)[/tex]
[tex]=7a+5b-2c+5a+7b+4a^2-10ab+6ac-10a^2+35ab-21ac[/tex]
Combine all like terms:
[tex]=(4a^2-14a^2)+(-10ab+35ab)+(6ac-21ac)+(7a+5a)+(5b+7b)+(-2c)[/tex]
[tex]=-10a^2+25ab-15ac+12a+12b-2c[/tex]
SOMEONE PLEAS HELP ME OUTTTTT!!!
Answers
Answer:
31 degrees
Step-by-step explanation:
the side with the length of 29 can be seen as the radius of a circle.
and the sin value of an angle is the distance of a point on that circle from the x-axis. as the standard sin function is for the standard circle with radius 1, we need to multiply this by the actual radius.
15 = sin(?)×29
sin(?) = 15/29 = 0.5172...
? = 31.14... degrees ≈ 31 degrees
Which of the following quadrilaterals must be a parallelogram according to the minimum requirements?
Answers
The minimum requirements needed to be a parallelogram is found in Option A quadrilateral, thus Option A is our correct answer.
There are four quadrilaterals given in the option.
We need to check which quadrilateral has the minimum requirements.
What is the minimum requirement to construct a parallelogram?The construct a Parallelogram we need:
- The measure of any two non-parallel sides.
- The measure of an angle.
In a Parallelogram, opposite sides are equal and parallel and the opposite angles are equal.
Checking the options given.
Option A:
- Two parallel and equal sides.
- Equal opposite angles.
It meets the minimum requirement to be a parallelogram.
Option B:
The quadrilateral has only two parallel and equal sides.
It does not meet the minimum requirements to be a parallelogram.
Option C:
The quadrilateral has only one parallel and equal side.
It does not meet the minimum requirements to be a parallelogram.
Option D:
It has no parallel and equal sides.
It has equal opposite angles and diagonal bisecting.
But it does not meet the minimum requirements to be a parallelogram.
We see that the minimum requirements needed to be a parallelogram is found in option A,
Hence Option A is our correct answer.
Learn more about parallelogram here:
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Using long division, what is the quotient of this expression?
X^4+4x^3-5x^2+x-3/x^2+x-3
Answers
Answer:
Using long division method the answer is B
Step-by-step explanation:
x²+3x-5+(15x-18)/x²+x-3
When the focus and directrix are used to derive the equation of a parabola, two distances were set equal to each other. = StartRoot (x minus x) squared + (y minus (negative p)) squared EndRoot = StartRoot (x minus 0) squared + (y minus p) squared EndRoot The distance between the directrix and is set equal to the distance between the and the same point on the parabola.
Answers
Answer:
The answer is "A point on the parabola and Focus".
Step-by-step explanation:
[tex]= \sqrt{(x - x)^2 + (y- (-p))^2} = \sqrt{(x-0)^2+ (y-p)^2} \\\\= \sqrt{(0)^2 + (y+p))^2} = \sqrt{(x)^2+ (y-p)^2} \\\\= \sqrt{(y+p))^2} = \sqrt{(x)^2+ (y-p)^2} \\\\= (y+p) = (x)+ (y-p) \\\\= y+p = x+ y-p \\\\=2p=x\\\\=x=2p[/tex]
Whenever the focus and also the guideline are utilized in determining the parabolic formula, two distances have indeed been equal.
The distance from the direction, as well as a parabolic point, was equal to the distance from the center to a parabolic point.
Answer:
The distance between the directrix and a point on the parabola is set equal to the distance between the focus and the same point on the parabola.
Step-by-step explanation:
Hope this helps! :)
m∠A = (2x + 5)° and m∠B = (3x − 15)°.
Find the measure of each angle (in degrees) of ▱ABCD.
Answers
Answer:
Step-by-step explanation:
We have to assume that ABCD is a parallelogram. If it isn't, leave a note.
Secondly we have to assume that the angles are consecutive. In a parallelogram, consecutive angles are supplementary.
<A + <B = 180
2x + 5 + 3x - 15 = 180
5x - 10 = 180 Add 10 to both sides
5x = 190 Divide by 5
x = 190/5
x = 38
A = 2x + 5
A = 2*38 + 5
A = 81
B = 3x - 15
B = 3*38 - 15
B = 99
which parent function is represented by the graph?
Answers
Answer:
y=x
Step-by-step explanation:
Mrs.Click has a strawberry patch in her garden. It's border is 4/5 meters wide and 3/2 meters long. What is the area of Mrs.Clicks Garden?
Answers
Answer
Mrs. Click's Garden is 6/5 or 1 1/5 square meters.
Explanation
Mrs. Click's has a rectangular garden. To find the area of a rectangle, you multiply the width by the length. To find the area of Mrs. Click's Garden, you multiply 4/5 by 3/2.
To multiply fractions, you multiply the numerator by the denominator.
4×3 is 12 and 5×2 is 10. You get the fraction 12/10, which can be simplified to 6/5, or 1 1/5.
Find sin R.
a. sin R= 29/21
b. sin R= 21/20
c. sin R= 20/29
d. sin R= 21/29
Answers
Answer:
sin R = 20 / 29
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin R = opp / hyp
sin R = 20 / 29
escample: If 600 Students registered for mat 101,300 for Phy 101 while 173 students registered for both mat101 and phy 101 in 2021 first semester, How many Students registered the two course
Answers
I don't answer the grammar but if you asked how many kids in total (not counting duplicate people that signed up for both) then 1073 student registered for the courses
Find the surface area of this cylinder.
Round to the nearest tenth.
r = 3 cm
3 cm
SA = [ ? ] cm2
PLEASE HELP
Answers
Formula for the surface area of a cylinder: 2 x pi x r^2 + 2 x pi x r x h
Radius (r) = 3
Height (h) = 3
2 x pi x 3^2 + 2 x pi x 3 x 3
2 x pi x 9 + 2 x pi x 9
18pi + 18pi
36pi = 113.1 cm^2
Hope this helps!
The surface area of the cylinder is 113.0973 square centimeter.
What is surface area of a geometric shape ?The surface area of a solid object is a measure of the total area that the surface of the object occupies. The surface area can only be present in any three dimensional geometric shape.
How to find the surface area of the cylinder ?The surface area of the cylinder is given by - 2*π*r*h + 2*π*r*r
where r is the radius of the cylinder and h is the height of the cylinder from its base.
In the given problem, r = 3cm and h = 3cm .
⇒ Surface area = 2*π*3*3 + 2*π*3*3 square centimeters.
= 36π = 113.0973 square centimeters.
∴ Surface area = 113.0973 square centimeters.
Thus the surface area of the cylinder is 113.0973 square centimeter.
To learn more about surface area the cylinder, refer -
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What is the simplified form of the complex fraction? 2x2+7x+6x2+x−64x2−9x2−5x+6
Answers
Answer:
3x - 124
Step-by-step explanation:
kindly find solutions in the picture above
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The simplified form of the complex expression 2x² + 7x + 6x² + x - 64x² - 9x² - 5x + 6 is
-65x² + 2x + 6
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
2x² + 7x + 6x² + x - 64x² - 9x² - 5x + 6
Combine all like terms.
(2x² + 6x² - 64x² - 9x²) + (7x - 5x) + 6
(8x² - 73x²) + 2x + 6
-65x² + 2x + 6
There are no common factors or like-terms to simplify.
So,
The simplified form is -65x² + 2x + 6
Thus,
The simplified form of the complex expression 2x² + 7x + 6x² + x - 64x² - 9x² - 5x + 6 is
-65x² + 2x + 6
Learn more about expressions here:
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The degree of the polynomial function f(x) is 3.
The roots of the equation f(x)=0 are −1, 0, and 3.
Which graph could be the graph of f(x)?
Answers
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The real roots of a polynomial function are the x-intercepts. The graph of f(x) will be the graph that has x-intercepts of -1, 0, and 3.
Instructions: Find the measure of the indicated angle to the nearest degree.
50
?
25
Answers
Answer:
theta = 30 degrees
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp side/ hypotenuse
sin theta = 25/50
sin theta = 1/2
Taking the inverse sin of each side
sin ^-1 (sin theta) = sin ^-1 (1/2)
theta = sin ^-1 (1/2)
theta = 30 degrees
YES OR NO PLS HELP URGENT
If two polygons are similar are they necessarily congruent?
YES OR NO? WITH EXPLANATION
Answers
Answer
Conditions for similar polygons. We say two figures are similar if they have the same shape, but not necessarily the same size. If they also have the same size, we say they are congruent. ... If two figures are similar, then they are also congruent.
Can you guys help me find ST on the left and WY on the right
Answers
Answer:
ST = 17 and WY = 32
Step-by-step explanation:
3
SV is a perpendicular bisector and divides Δ RST into 2 congruent triangles with
ST = SR , that is
7x - 4 = 3x + 8 ( subtract 3x from both sides )
4x - 4 = 8 ( add 4 to both sides )
4x = 12 ( divide both sides by 4 )
x = 3
Then
ST = 7x - 4 = 7(3) - 4 = 21 - 4 = 17
-------------------------------------------------------------------
4
Δ WXY and Δ WXZ are congruent ( both have 3 congruent angles ), then
WZ = WY , that is
9x - 13 = 6x + 2 ( subtract 6x from both sides )
3x - 13 = 2 ( add 13 to both sides )
3x = 15 ( divide both sides by 3 )
x = 5
Then
WY = 6x + 2 = 6(5) + 2 = 30 + 2 = 32
what are the steps in solving
12x+4=20x+24
Answers
Answer:
x = -5/2
Step-by-step explanation:
12x+4=20x+24
-8x + 4 = 24
-8x = 20
x = -5/2
calculate the value of 120 is increased by 120%
Answers
Answer:
144
Step-by-step explanation:
currect answer for simple question
Answer:
264
Step-by-step explanation:
First find the amount of increase
120 * 120%
120 * 1.2
144
Add this to 120
120 +144
264
Please help ASAP!!
What is the value of x?
Answers
Answer:
45°
Step-by-step explanation:
80 + 55=135
Every type of triangle has 180 degrees.
180-135=45 degrees.
PLEASE HELP! I WILL GIVE YOU BRAINLIEST!
Answers
Answer:
sry, i am doing this for points
What is the area of this triangle
Answers
Answer:
17.5 units
Step-by-step explanation:
im not good at explaining sorry
A company rents water tanks shaped like cylinders. Each tank has a radius of 6 feet and a height of 2 feet. The cost is $30 per cubic foot. How much does it cost to rent one water tank
Answers
Step-by-step explanation:
Volume of tank = (pi)×(radius squared)×(height)
= 3.14×(6×6)×2
= 3.14×36×2
= 226.08 cu.ft
Each cu.ft is rented for $30
So, for 226.08 cu.ft is,
=226.08×$30
=$6782.3
If two triangles have three congruent, corresponding angles, what additional information is needed to prove that the triangles are congruent?
Answers
Answer:
one side length has to be equal in both triangles.
Answer:
To prove that two triangles with three congruent, corresponding angles are congruent, you would need to have at least one set of corresponding sides that are also congruent. You could then use ASA or AAS congruence theorems or rigid transformations to prove congruence.
Step-by-step explanation:
The histogram below represents a data distribution with uniform class
widths. Which of the following is the median of the data distribution?
6
5
4
3
2
1
9 10
A. 4
B. 6
C. 5
c
D. 7
Answers
Answer:
C. 5
Step-by-step explanation:
The given data can be presented as follows;
[tex]\begin{array}{ccc}x&&y\\2&\leftrightarrow &1\\3&\leftrightarrow &4\\4&\leftrightarrow &6\\5&\leftrightarrow &7\\6&\leftrightarrow &6\\7&\leftrightarrow &3\\8&\leftrightarrow &2\\9&\leftrightarrow &1\\10&\leftrightarrow &1\end{array}[/tex]
We find the sum of the data points as follows;
n = 1 + 4 + 6 + 7 + 6 + 3 + 2 + 1 + 1 = 31
The median will be located in the (n + 1)/2 th data point
Therefore the median is the (31 + 1)/2 = 16th data point
The sum of the first three bars on the histogram = 11
The sum of the first four bars on the histogram = 18
Therefore, the 16th data point is located in the fourth bar which has x value of 5
The median is therefore, C. 5
Which is true about the triangles pictured?
С
60
609
50
70
70°
50
B
D
The triangles are not congruent.
The triangles are congruent by Angle-Angle-Angle.
If AC EF. then the triangles could be proved congruent by Angle-Side-Angle.
if BC EF, then the triangles could be proved congruent by Angle-Side-Angle.
Answers
Answer: The triangles can be proven congruent from angle-angle-angle.
Step-by-step explanation: I know this because the angles match up with each other
anyone knows the answers ? need help with this.
Answers
Answer:
2.
a) X=5.0791
(sorry I only know that one)
HELP ASAPPP !
select the correct answer from each drop-down menu.
Answers
Answer:
3.8; 4
Step-by-step explanation:
In this exercise, you're are required to find the missing values by performing some arithmetic calculations.
For the first part;
Let the missing value be X
Translating the word problem into an algebraic expression, we have;
[tex] X = 2000 * 1.9 * 10^{-6} [/tex]
[tex] X = 3.8 * 10^{-3} [/tex]
For the second part;
Let the missing value be Y.
[tex] 3.8 * 10^{-3} = Y * 9.5 * 10^{-4} [/tex]
[tex] X = \frac {3.8 * 10^{-3}}{9.5 * 10^{-4}} [/tex]
[tex] X = 4 [/tex]
Therefore, the complete sentence would be written as follows;
[tex] 3.8 * 10^{-3} [/tex] is 2000 times greater than [tex] 1.9 * 10^{-6} [/tex]. It is also 4 times greater than [tex] 9.5 * 10^{-4} [/tex]
