Answers
Step-by-step explanation:
every triangle inscribed into a circle with the baseline being a diameter of the circle must be a right-angled triangle.
therefore,
angle XVY = 90°.
for VY we can use Pythagoras
c² = a² + b²
with c being the Hypotenuse (the line opposite of the 90° angle, in our case XY).
XY = 2×ZY = 2×17 = 34.
so,
34² = 30² + VY²
VY² = 34² - 30² = 1156 - 900 = 256
VY = 16
Related Questions
how do i get my math grade up
Answers
Answer:
just practice alot . .. ...........
Answer:
you could do all your work and try to ask the teacher for help
Step-by-step explanation:
please help me answer the question in the image
Answers
Answer:
2x/x+2
Step-by-step explanation:
Factor out 2x in the numerator
Then you get: 2x(x+4)
Factor the denominator
Two numbers that multiply to 8 and add to 6(2 and 4)
So you get: (x+2)(x+4)
Now you have: (2x(x+4))/(x+2)(x+4)
Simplify by cancelling the x+4
2x/x+2
Hey there!
Answer: [tex] \Rightarrow \boxed {\sf{\frac{2x}{(x+2)}}}[/tex]
Solving steps:-
[tex] \rightarrow\sf{\frac{ {2x}^{2} + 8x}{ {x}^{2} + 6x + 8} }[/tex]
[tex] \rightarrow\sf{\frac{ 2x(x + 4)}{ {x}^{2} + 4x +2x + 8} }[/tex]
[tex] \rightarrow\sf{\frac{ 2x(x + 4)}{ x (x + 4) +2(x + 4)} }[/tex]
[tex] \rightarrow\sf{\frac{ 2x\sout{(x + 4)}}{ \sout{(x + 4)} (x + 2)} }[/tex]
[tex] \rightarrow\sf{\frac{ 2x}{ (x + 2)} }[/tex]
~Done~
A spinner contains four sections: red, blue, green, and yellow. Joaquin spins the spinner twice. The set of outcomes is given as S = {RB, RG, RY, RR, BR, BG, BY, BB, GR, GB, GY, GG, YR, YB, YG, YY}. If the random variable is "yellow (Y)," which of the following is the correct probability distribution? A 2-column table has 3 rows. The first column is labeled Yellow: x with entries 0, 1, 2. The second column is labeled Probability with entries 0. 5625, 0. 375, 0. 625. A 2-column table has 3 rows. The first column is labeled Yellow: x with entries 0, 1, 2. The second column is labeled Probability with entries 0. 75, 0. 25, 0. A 2-column table has 3 rows. The first column is labeled Yellow: x with entries 0, 1, 2. The second column is labeled Probability with entries 0. 5, 0. 375, 0. 125. A 2-column table has 3 rows. The first column is labeled Yellow: x with entries 0, 1, 2. The second column is labeled Probability with entries 0. 5, 0. 25, 0. 25.
Answers
The correct probability distribution of the random variable tracking "yellow (Y)" color is given by: Option A:
Yellow:x Probability
0 9/16 = 0.5625
1 6/16 = 0.375
2 1/16 = 0.0625
What is probability distribution?Probability distribution of a random variable is the collection of value and its probability pair for values of that considered random variable.
It might be a function, a table etc.
How to calculate the probability of an event?Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.
Then, suppose we want to find the probability of an event E.
Then, its probability is given as
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}[/tex]
where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.
For this case, the experiment consists of a spinner with four color sections, and is spun twice.
The sample space is:
S = {RB, RG, RY, RR, BR, BG, BY, BB, GR, GB, GY, GG, YR, YB, YG, YY}
Let we take:
X = the number of times out of two spins the color yellow occurs in a pair of spin of the considered spinner.
Then, as there are only two spin going to happen, so the values X can take are:
X = 0 (no yellow color in both spin)X = 1 (one of the spin ended up yellow, and other doesn't)X = 2 (both the spins resulted in yellow color).Let we take:
A = event that in first spin of the considered spinner, color yellow occurs.B = event that in second spin of the considered spinner, color yellow occurs.Then, as there are four colors equally likely, so we get:
P(A) = 1/4 (yellow color can occur in 1 way in one spin, and total number of colors that can occur = 4).
Similarly, we get P(B) = 1/4
Also, as first and second spins are independent of each other's result, so both A and B are independent events.
Getting the probabilities for each value of X:
Case 1: X = 0[tex]P(X = 0) = P(A' \cap B') = P(A')P(B') = (1-P(A))(1-P(B)) \\P(X = 0) = \dfrac{3}{4} \times \dfrac{3}{4}\\\\P(X = 0) = \dfrac{9}{16}[/tex]
(where A' and B' are complement of A and B, and as (A and B) are independent, so as (A' and B') and (A' and B) and (A and B') )
Case 2: X = 1So either first spin had yellow color, or second, so we get:
[tex]P(X = 1) = P((A' \cap B) \cup (A \cap B'))\\ P(X=1) = P(A' \cap B) + P(A \cap B') - P((A' \cap B) \cap (A \cap B'))\\P(X=1) = P(A')P(B) + P(A)P(B') -0\\P(X=1) = \dfrac{3}{4} \times \dfrac{1}{4} + \dfrac{1}{4} \times \dfrac{3}{4} - 0\\\\P(X = 1) = \dfrac{6}{16}[/tex]
Case 3: X = 2Both event A and B occured this time, so we get:
[tex]P(X = 2) = P(A \cap B) = P(A)P(B) \\P(X = 0) = \dfrac{1}{4} \times \dfrac{1}{4}\\\\P(X = 0) = \dfrac{1}{16}[/tex]
Thus, the probability distribution of X is:
X=x P(X = x)
0 9/16 = 0.5625
1 6/16 = 0.375
2 1/16 = 0.0625
Learn more about probability here:
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The two conditional relative frequency tables below show the results of a survey asking students whether they are taking a foreign language or not.
A 4-column table with 3 rows. The first column has no label with entries middle school, high school, total. The second column is labeled taking a foreign language with entries 0.34, 0.66, 1.0. The third column is labeled not taking a foreign language with entries 0.64, 0.36, 1.0. The fourth column is labeled total with entries 0.4, 0.6, 1.0.
Table B: Frequency of Foreign-Language Studies by Row
A 4-column table with 3 rows. The first column has no label with entries middle school, high school, total. The second column is labeled taking a foreign language with entries 0.68, 0.88, 0.8. The third column is labeled not taking a foreign language with entries 0.32, 0.12, 0.2. The fourth column is labeled total with entries 1.0, 1.0, 1.0.
Which table could be used to answer the question "Assuming a student is taking a foreign language, what is the probability the student is also in high school?”
Table A, because the given condition is that the student is in high school.
Table A, because the given condition is that the student is taking a foreign language.
Table B, because the given condition is that the student is in high school.
Table B, because the given condition is that the student is taking a foreign language
Answers
Answer:
B: Frequency of Foreign-Language Studies by Row
The diameter of a cylindrical construction pipe is7ft. If the pipe is 36ft long, what is its volume?
Use the value 3.14 for, and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.
Answers
Question:
The diameter of a construction pipe is 7ft. If the pipe is 35ft long, what is the volume. (Use 3.14 for pie and round your answer to the nearest cubic foot.)
Answer: V=pir^2h V=3.14*3.5^2*35 V=1346 cu ft
Not fully sure....
But it should be right...
Which expression represents the correct form for the quotient and remainder, written as partial fractions, of StartFraction 7 x squared minus 40 x + 52 Over x squared minus 6 x + 9 EndFraction?
Answers
Answer:
[tex]A + \frac{B}{x-3} + \frac{C}{(x-3)^{2} }[/tex]
Step-by-step explanation:
First, because the degree of the numerator is the same as the degree of the denominator, this fraction needs simplified further by long division. Upon simplification, the rational expression is [tex]7+\frac{2x-11}{x^2-6x+9}[/tex].
Next, the denominatior needs factored in order to split up the second part of the simplified expression into two different partial fractions. Such factorization yields us, [tex](x-3)^{2}[/tex].
Finally, we have all of our necessary information to set up all of our partial fractions.
This gives us [tex]A + \frac{B}{x-3} + \frac{C}{(x-3)^{2} }[/tex], which is our answer.
NEED HELP! I JUST NEED HELP ON 31 PLEASSEE HELP
Answers
Answer:
A
Step-by-step explanation:
the quartiles are illustrated as 55 and 59. The average is 57.5 so 58? These are the key points on this type of graph.
the restaurant is 7.5 feet high and 22 feet long. find the volume of a cone restaurant
Answers
Answer:
950.331ft^3
Step-by-step explanation:
I hope this is correct...
I believe 22ft would be the diameter of thr circle so to find the radius you divide it by 2 and follow the formula like so.
calculate the perimeter of a rectangle that is 5.5 c by 3.5 cm?
Answers
P = 2 x (5,5 + 3,5) = 18 cm
P = is the circumference of the figure
Answer:
the answer should be 18 cm
you can either do 2 × (length + width)
2 × (5.5 + 3.5)
2 × 9 = 18
or
5.5 + 5.5 = 11
3.5 + 3.5 = 7
11 + 7 = 18
either way it's 18, I hope this helps
Bronson earns $625 per week at his job. How much does he earn annually?
please help
Answers
Can someone help me pls
Answers
Answer:
The angle of KLM is 50°
Step-by-step explanation:
Used protractor
Answer:
∠ KLM ≈ 33.7°
Step-by-step explanation:
using Pythagoras' identity in right triangle JKM
KM² = JK² + JM² = 7² + 4.5² = 49 + 20.25 = 69.25 ( take square root of both sides )
KM = [tex]\sqrt{69.25}[/tex] ≈ 8.322 cm
using the sine ratio in right triangle KLM
sin KLM = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{KM}{LM}[/tex] = [tex]\frac{8.322}{15}[/tex] , then
∠ KLM = [tex]sin^{-1}[/tex] ( [tex]\frac{8.322}{15}[/tex] ) ≈ 33.7° ( to 3 significant figures )
is this correct if not whats the answer
Answers
Answer:
That answer is correct, when you do a survey, you pick people at random! So your answer is correct. :) If you have any more questions feel free to ask me. ^-^
please help me
To build a pizza, customers choose stuffed (S) or thin (T) crust, red (R) or white (W) sauce, and a topping. The choices for toppings are pepperoni (P), sausage (S), or vegetables (V).
The following list shows the possible pizzas that can be made. The first letter represents the crust, the second letter represents the sauce, and the third letter represents the topping. For example, a stuffed-crust pizza with red sauce and pepperoni is listed as SRP, and a stuffed-crust pizza with white sauce and sausage is listed as SWS.
SRP, SRS, SRV, SWP, SWS, SWV, TRP, TRS, TRV, TWP, TWS, TWV
How many outcomes include red sauce or sausage?
Enter you answer as a number, like this: 42
Answers
Answer:
8
Step-by-step explanation:
I bolded what I think is important to know.
To build a pizza, customers choose stuffed (S) or thin (T) crust, red (R) or white (W) sauce, and a topping. The choices for toppings are pepperoni (P), sausage (S), or vegetables (V).
The following list shows the possible pizzas that can be made. The first letter represents the crust, the second letter represents the sauce, and the third letter represents the topping. For example, a stuffed-crust pizza with red sauce and pepperoni is listed as SRP, and a stuffed-crust pizza with white sauce and sausage is listed as SWS.
SRP, SRS, SRV, SWP, SWS, SWV, TRP, TRS, TRV, TWP, TWS, TWV
How many outcomes include red sauce or sausage?
what is the area of a triangle with a base with a length of 3 1/2 inches and a height of 3 inches
Answers
Answer: 5.25 square inches
Step-by-step explanation:
A=(1/2)bh=(1/2)(3.5)(3)=5.25
Please show the steps as well.
Answers
Answer:
x = 4Step-by-step explanation:
Rewrite the equation as
[tex]2^{x -1}=8\\[/tex][tex]2^{x -1}=2^3[/tex]Powers are equal if bases are same
[tex]x -1=3[/tex][tex]x=3+1[/tex][tex]x=4[/tex]~Hello! I will try to help you!
[tex] \Rightarrow \sf {2}^{x - 1} = 8[/tex]
»Convert the number 8 to a power of 2, then:-
[tex] \Rightarrow \sf {2}^{x - 1} = {2}^{3} [/tex]
»Because the bases on the right and left are the same, we will cross out the bases to produce a linear equation.
[tex] \Rightarrow \sf \cancel2 {}^{x - 1} = { \cancel2}^{3} [/tex]
»Let's find the value of x in the above equation!
[tex] \Rightarrow \sf x - 1 = 3 \\ \Rightarrow \sf x = 3 + 1 \\ \Rightarrow \bf x = 4[/tex]
With this it's done!
Which statement describes the behavior of the function f (x) = StartFraction 2 x Over 1 minus x squared EndFraction?.
Answers
As x tends to infinity the function [tex]f(x) = \frac{2x}{1-x^{2} }[/tex] approaches zero.
Given function is:
[tex]f(x) = \frac{2x}{1-x^{2} }[/tex]
What is a function?A function f(x) is a rule which relates two variables where x and y are independent and dependent variables.
Divide the numerator and denominator of the given function by x.
[tex]f(x) = \frac{2}{\frac{1}{x} -x}[/tex]
[tex]\lim_{x \to \infty} f(x) \\\\\lim_{x \to \infty} \frac{2}{\frac{1}{x} -x}[/tex]
As we know that as x approaches the infinity 1/x approaches 0.
So, [tex]\\\\\lim_{x \to \infty} \frac{2}{\frac{1}{x} -x} = \lim_{x \to \infty} \frac{2}{-x}[/tex]
[tex]\lim_{x \to \infty} \frac{-2}{x} =0[/tex]
Therefore, as x tends to infinity the function [tex]f(x) = \frac{2x}{1-x^{2} }[/tex] approaches zero.
To get more about functions visit:
https://brainly.com/question/25638609
Solve for x if 2(5x + 2)^2 = 48
Answers
Distribute
2
(
2
5
2
+
1
0
+
2
(
5
+
2
)
)
2
(
25
x
2
+
10
x
+
2
(
5
x
+
2
)
)
2
(
2
5
2
+
1
0
+
1
0
+
4
)
Combine like terms
2
(
2
5
2
+
1
0
+
1
0
+
4
)
2
(
25
x
2
+
10
x
+
10
x
+
4
)
2
(
2
5
2
+
2
0
+
4
)
Which statement about a rotation is true? A. Rotating a right trapezoid around its vertical axis will form a cone. B. Rotating a square around its vertical axis will form a sphere. C. Rotating a right triangle around its vertical axis will form a cone. D. Rotating a rectangle around its vertical axis will form a sphere.
Answers
Rotating a shape involves moving it in a circular way around its axis
The true statement about the rotation is (c) Rotating a right triangle around its vertical axis will form a cone.
How to determine the rotation?When a two-dimensional shape such as triangles, trapezoid, square, rectangles, etc are rotated about their axes, the new shape formed is a three-dimensional shape
As a general rule, the rotation of a right triangle around its axis would form a cone.
Hence, the true statement about the rotation is (c)
Read more about rotation at:
https://brainly.com/question/4289712
Answer: C. Rotating a right triangle around its vertical axis will form a cone.
Step-by-step explanation: CORRECT on Plato/Edmentum.
Solve this linear system using determinants:
2x + 3y = 6
- 8x - 3y = 12
A=
Az =
[Ayl =
Answers
2×+3y=6
-8×-3y=12
-6×=18
×=18/-6
×=-3
——————
2×+3y=6
2(3)+3y=6
6+3y=6
3y=6-6
3y=0
Y=0/3
Y=0
——————
×=3
Y=0
————
2×+3y=6
2(3)+3(0)=6
6=6
xLasersx✨Find the value of x. Round to the nearest tenth.
I’m going to Mcshoot myself pls help
Answers
Answer:
x = 10.8
Explanation:
[tex]\sf \sf cos(x)= \dfrac{adjacent}{hypotensue}[/tex]
using cosine rule:
[tex]\rightarrow \sf cos(26)= \dfrac{x}{12}[/tex]
[tex]\rightarrow \sf x = cos(26) *12[/tex]
[tex]\rightarrow \sf x =10.8[/tex]
Answer:
The answer is rounded 10.8
Step-by-step explanation:
Cosine is the adjacent side over the hypotenuse, or a/h. So, cos 26=x/12. To solve for x, isolation of the variable is necessary. If both sides are multiplied by 12, the equation becomes 12 (cos 26)=x. The cosine of 26 is 0.8988, which multiplied by 12 is 10.8.
Hope this helps!
An angle measures 66° more than the measure of its supplementary angle. What is the measure of each angle?
A=
B=
Answers
please help !
what is the probability of the complement of event A ?
Answers
Answer:
[tex]P(A < 84)=\frac{4}{7}[/tex]
Step-by-step explanation:
[tex]Total\ numbers:\ 7\\Numbers\ less\ than\ 84:\ 4\\\\P(A < 84)=\frac{4}{7}[/tex]
Need Help! Given the drawing, what would the value of x need to be in order for it to be true that m || n ?
Answers
Answer:
13
Step-by-step explanation:
The theorem is that for a line bisecting two parallel lines, the oposite angles are equal. Hence, you can formulate the equation 4x+18 = 7x-21, which solves to 13.
If 1/10 of a scarf is knit in 48 minutes.what fraction of a scarf is knit in 1 hour
Answers
Answer:
1/8
Step-by-step explanation:
i believe this is the answer
A farmer plans to build the small silo shown to store chicken feed. What is the circumference of the base of the silo if it can hold a maximum of 132 cubic feet of feed?
Answers
The circumference of the base of the silo that can hold a maximum of 132 cubic feet of feed is approximately 28.796 feet.
How to determine the circumference of the base of a silo
The circumference is the measure of the contour of a circle. In this question we have to determine the radio of the base of the cone from the volume formula and later the circumference is found by this finding:
Volume
V = (π/3) · R² · h (1)
Circumference
s = 2π · R (2)
Where:
R - Radius of the base, in feeth - Height of the silo, in feetIf we know that V = 132 ft³, h = 6 ft, then the circumference that can hold the given capacity is:
[tex]R = \sqrt{\frac{3\cdot V}{\pi \cdot h} }[/tex]
[tex]R = \sqrt{\frac{3\cdot (132\,ft^{3})}{\pi\cdot (6\,ft)} }[/tex]
R ≈ 4.583 ft
s = 2π · (4.583 ft)
s ≈ 28.796 ft
The circumference of the base of the silo that can hold a maximum of 132 cubic feet of feed is approximately 28.796 feet. [tex]\blacksquare[/tex]
RemarkThe statement is complete, complete form is introduced below:
A farmer plans to buid the small silo to store chicken feed. The silo is a cone with a height of 6 feet. What is the circumference of the base of the silo if it can hold a maximum of 132 cubic feet of feed?
To learn more on volumes, we kindly invite to check this verified question: https://brainly.com/question/1578538
please explain how you got your answer because i cant grasp this :/
Answers
Answer:
39 sq inches
Area of sector = [tex]\frac{θ}{360}*\pi r^{2}[/tex]
Given: θ = 70°, radius (r) = 8 inches
Area of sector = [tex]\frac{70}{360} * \pi *8^{2}[/tex]
= 39.095
for further studies visit: https://brainly.com/question/22972014
hope it helps...
Find the value of x.
Answers
Answer:
38
Step-by-step explanation: subtraction:
Input interpretation: x: 105-67=
Ratio in lowest terms: 38
Division:
105/67= 1.56...=1 38/67---1R 38= 1 with the remainder of 38. So just 38.
The value of the variable 'x' using the exterior angle theorem will be 38°. Then the correct option is A.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
The exterior angle of a triangle is almost always equal to the addition of the interior and opposing interior angles. The term "external angle property" refers to this feature.
By the above theorem, the equation is written as,
x + 67 = 107
Simplify the equation, then we have
x + 67 = 105
x = 105 - 67
x = 38°
The value of the variable 'x' using the exterior angle theorem will be 38°. Then the correct option is A.
More about the triangle link is given below.
https://brainly.com/question/25813512
#SPJ7
What is the answer to how many 1/2 are in 3 1/2?
Answers
which is the largest living thing?
Answers
To get your car repaired at a certain dealership in Woodstock, the rate charged is $90 per hour worked on your car, plus a $50 diagnostic fee.
1) Create an equation to find the (C)harge to fix the car:
2) If your car was worked on for 4.6 hours what would be the total charge?
3) If the total cost was $800, how many hours was the car in the shop?
Answers
H- hours
D- diagnostic fee
C= #H(90)+ D
C= 4.6(90)+50
=414+50
=$464
C-$800
H-?
D-50
C= #H(90)+50
800=H(90)+50
H(90)=800-50
H(90)=750
H(90)/90=750/90
H=750/90
H= 8.33333333