10. RECREATION In a game of kickball, Rickie has to kick the
ball through a semicircular goal to score. If m XZ = 58 and
the m XY = 122, at what angle must Rickie kick the ball to
score? Explain.
Answers
Answer:
The angle Rick must kick the ball to score is an angle between the lines BX and BZY which is less than or equal to 32°
Step-by-step explanation:
The given measures of the of the angle formed by the tangent to the given circle at X and the secant passing through the circle at Z and Y are;
[tex]m\widehat{XZ} = 58^{\circ}[/tex]
[tex]m\widehat{XY} = 122^{\circ}[/tex]
The direction Rick must kick the ball to score is therefore, between the lines BX and BXY
The angle between the lines BX and BXY = ∠XBZ = ∠XBY
The goal is an angle between [tex]m\widehat{XY}[/tex]
Let 'θ' represent the angle Rick must kick the ball to score
Therefore the angle Rick must kick the ball to score is an angle less than or equal to ∠XBZ = ∠XBY
By the Angle Outside the Circle Theorem, we have;
The angle formed outside the circle = (1/2) × The difference of the arcs intercepted by the tangent and the secant
[tex]\therefore \angle XBZ = \dfrac{1}{2} \times \left (m\widehat{XY} -m\widehat{XZ} \right)[/tex]
We get;
∠XBZ = (1/2) × (122° - 58°) = 32°
The angle Rick must kick the ball to score, θ = ∠XBZ ≤ 32°
Related Questions
Helppp for Brainlyiest ong provide proof or nun
Answers
Answer:
6 Pizza's
Step-by-step explanation:
Take 4.5 lbs divide it by 3/4
Find the area of the semicircle. Round your answer to the nearest hundredth.
18 in.
The area is about inches.
Answers
Answer:
127.24in
Step-by-step explanation:
254.47/2=127.235. round it and 127.24
At a yard sale, Enzo sees a sign that advertises "0.05 cents per used book." Using the advertised price, determine the cost of 40 used books. pls answer.........................,...........................................
Answers
Answer: The answer would be “$2.”
Step-by-step explanation: To find this answer you would take the amount per book which is 0.05 cents per used book. And then multiply it by how many books you are buying which is 40. So when you multiply 40 by 0.05 you get “$2 for 40 used books.”
Have a nice day!
George takes a photograph of a rectangular window that is 312 feet tall and 134 feet wide. He prints the photograph on paper so that the image of the window is 12 foot tall and 14 foot wide. What is the ratio of the area of window to the area of the image of the window?
Answers
Answer:
A':A = 1742:7
Step-by-step explanation:
Applying,
A' = L'W'............... Equation 1
Where A' = Area of the window, L' = Length of the window, W' = Width of the window.
From the question,
Given: L' = 312 ft, W' = 134 ft
A' = (312×134)
A' = 41808 ft²
Similarly,
A = LW.................. Equation 2
Where A = Area of the image of the window, L and W is thw length and width of the image of the window
Given: L = 12 ft, W = 14 ft
Therefore,
A = 12×14
A = 168 ft²
Therefore the ratio of A' to A = 41808:168 = 1742:7
A':A = 1742:7
Terry rents a kayak while he is on vacation. He is required to pay a deposit of $95 plus an additional $11.50 per day. Terry only has $150 to spend on kayaking. Write and solve an inequality you can use to determine the maximum number of days Terry can afford to rent a kayak.
Answers
Answer:
A maximum of 4 days
Step-by-step explanation:
Inequality: 95 + 11.50x ≤ 150
Okay so the 95 is his fee. Then for everyday, it's 11.50 and we don't know how many days yet, so 11.50x. The 95 dollars and the 11.50x has to equal to or less than 150 since that is how much he has to spend on vaca.
95 + 11.50x ≤ 150
-95 -95
11.50x ≤ 55
/11.50 /11.50
X=4.78260869565
You would round down since he has a budget.
The amount of time a certain brand of light bulb lasts is normally distributed with a mean of 1800 hours and a standard deviation of 25 hours. Using the empirical rule, what percentage of light bulbs last between 1725 hours and 1875 hours?
Answers
Answer:
99.7%
Step-by-step explanation:
The empirical rule formula states that:
68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ .
95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .
99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ
Step 1
We have to find the number of standard deviations from the mean
μ = Mean = 1800 hours
σ = Standard deviation = 25 hours
For 1725 hours
μ - xσ =
1800 - 25x = 1725
25x = 1800 - 1725
25x = 75
x = 75/25
x = 3
For 1875 hours
1800 + 25x = 1875
25x = 1875 - 180
25x = 75
x = 75/25
x = 3
Step 2
From the above calculation, the bum of standard deviations from the mean is 3
Hence, the percentage of light bulbs last between 1725 hours and 1875 hours is 99.7%
The radius of the pizza is 15 cm long.
What is the circumference of the pizza?
Express your answer in terms of pi
Answers
Answer:
30π cm
30pi cm
Step-by-step explanation:
c = 2πr
c = 2π(15)
c = 30π
find the volume of this cylinder
Answers
Answer:
25² · 40 π in.³
Step-by-step explanation:
V = πr²h
π · 25² · 40
≈ 78539.81634
Since your question wants it in a different way, you have to know the formula.
V = πr²h
V = r² · h π in³
v = 25² · 40 π in³
If the Benton Widget Co. can produce 2,500 widgets in 5
hours, how many can they produce in half an hour?
Answers
Answer:
250
Step-by-step explanation:
They make 2,500 in 5 hours
2500/5 = 500
They 500 in 1 hour
500/2 = 250
250 in 30 mins
What Is the median for 2,0,1,0,4,3,1,0,7
Answers
Answer:
1
Step-by-step explanation:
Have a good day :)
Answer:
Step-by-step explanation:
the median is 1
Use trigonometry to determine the m>DEC to the nearest degree
Answers
Answer:
m∠DEC = 50° to the nearest degree
Step-by-step explanation:
cos D = adjacent side/hypotenuse
= 36/56
m∠DEC = arccos (36/56) =50° to the nearest degree
Hiii dont mind the answer that i put but im not sure if im right, can someone please help me?
Answers
Answer:
Option 4
Step-by-step explanation:
The volume of a cylinder is going to be the area of the base (which is a circle) times the height. if you have cylindrical mug, then you can use the base area×height relationship, but it won't be exact because some of the volume is going to be used for the walls of the mug itself.
Anyways:
Volume = Base Area × Height
•Base Area -> Circle = π×radius²
•Height is given as 7in.
Volume = π×(6.2in)² × 7in = 845.33975...
Volume is in units cubed (the 3rd power) which is where the in³ is from. Your closest option here looks to be the 4th choice.
pls help..
FAST!!!!!!!
Answers
Step-by-step explanation:
1/4+5/4 = 6/4
6/4^2 = 6/4*6/4 = 36/16 = 18/8 = 9/4
9/4 + 3/4 = 12/4 = 3
Answer:
= 3
Step-by-step explanation:
(1/4 + 5/4) ^2 + 3/4 = ? --> add 1/4 and 5/4
(6/4) ^2 + 3/4 = ? --> do (6/4) ^2
2.25 + 3/4 = ?
? = 3
Suppose vanilla beans cost $600 per kilogram. Julie bought 9 grams of vanilla beans. Jacques bought 70 grams of vanilla beans.
How much more did Jacques pay for his vanilla beans?
Answers
Answer:
The Correct option is 36.60
Step-by-step explanation:
The key to solving this question lies around measurement conversion,specifically converting grams into its equivalence in kilograms.
1000 grams equal one kilogram
9 grams=9/1000 kg
9 grams=0.009 kg
70 grams=70/1000 kg
70 grams=0.07 kg
Julie pays=$600*0.009=$5.4
Jacques pays=$600*0.07=$42
Jacques pays $36.60 more ($42-$5.4) than Julie paid
Option is wrong because that was what Julie paid
Option D is wrong because that was what Jacques paid
Option B is obviously wrong
find the nth term:5, -1, -7, -13
Answers
Answer: a
5
=
−
19
HOPE THIS HELPS GOOD LUCK
Rectangle ABCD, A, B, C, D is graphed in the coordinate plane. The following are the vertices of the rectangle: A(5, 5), B(7,5), C(7,-1) and D(5,-1). Given these coordinates, what is the length of side BC of this rectangle?
Answers
Answer:
I think the answer is 5
BC=5
Step-by-step explanation:
Fill in the blank with the Spanish word that best completes the following sentence.
¿Qué tiempo ________?
nieve
hace
lluvia
mal
Answers
Answer:I think it’s nieve
Step-by-step explanation:
Answer:
The answer is hace.
Step-by-step explanation:
I am doing this quiz.
can someone help me!??
Answers
Answer:
A: Negative
B: 1) Decreases
2) Increases toward 100
C: The point (1,55) and (5,97) are outliers.
Step-by-step explanation:
Because the grade decreases as the number of abscenses increases, it is called a negative association.
Outliers are the point that stick far out from the rest of the points. Both (1,55) and (5,97) are far away from the rest of the points. And don't follow the general trend of the graph.
Women make up 52 percent of the voting-age population and are more likely to vote, yet a. a woman has never been elected to the U.S. Senate. b. men dominate the political arena. c. women dominate the political arena. d. a woman has never been elected governor of a U.S. state. Please select the best answer from the choices provided A B C D
Answers
Answer:
b. "men dominate the political arena".
Step-by-step explanation:
Edgeńuity says - B. "men dominate the political arena".
I got a 100% on the test
f(x) = -2x + 7
Consider the function below. Find f(5)
Answers
Answer:
-3
Step-by-step explanation:
You replace the x in the equation for 5 so the problem to work it out would be f(x)=-2(5)+7
then you just solve the equation normally
Answer:
-3Step-by-step explanation:
f(x)=-2x+7
f(5)=-2×5+7
=-10+7
=-3
2/100
+ 7/10
———-
Plz answer!!!
Answers
18/25 or 0.72
hope this helped <3
A student is given a true/false test with 10 questions on it. They did not study and choose to guess on all 10 problems. What is the probability that the student will get all 10 problems right?
Answers
Answer:
Its a 50/50 chance
Step-by-step explanation:
I got it right
Answer:
1/10
Step-by-step explan
el estudiante y 10 por las preguntaa 1/10 de prov
Select the correct answer.
Which function is represented by this graph?
A.
f(x) = |x + 7| − 3
B.
f(x) = |x − 7| − 3
C.
f(x) = |x + 3| − 7
D.
f(x) = |x − 3| − 7
Answers
Answer:
The answer is B
Step-by-step explanation:
The function is represented by the given graph is f(x)=|x-7|-3. Therefore, option B is the correct answer.
What is a absolute value equation?To solve an equation containing absolute value, isolate the absolute value on one side of the equation. Then set its contents equal to both the positive and negative value of the number on the other side of the equation and solve both equations.
From the given graph, the vertex is (7, -3).
x-intercept(s): (10,0),(4,0)
y-intercept(s): (0,4)
We know that, general form of the absolute equation is f(x)=a|x-h|+k.
Here, equation is f(x)=|x-7|-3
Therefore, option B is the correct answer.
To learn more about a absolute value equation visit:
https://brainly.com/question/2166748.
#SPJ3
evaluate the following expression for x=-2 -4x+8+2x+3
Answers
Answer:
15
Step-by-step explanation:
x = 2
-4x+8+2x+3 = ?
-4 (-2) + 8 + 2 (-2) + 3 =
= 8 + 8 - 4 + 3
= 16 - 4 + 3
= 12 + 3
= 15
hopefully this helped you :)
Please answer this math question for me
Answers
Answer:
Hello! answer: b = 135 and c = 45
This will ultimately add up to 360 so 45 + 45 + 135 + 135 = 360 Hope that helps!
The first three terms of a sequence are given. Round to the nearest
thousandth (if necessary).
309, 303, 297, ...
Find the 33rd term.
Answers
Answer:
117
u welcome
Step-by-step explanation:
Solve for x in the parallelogram.*
No links
Answers
Answer:
D
Step-by-step explanation:
is D Thank so much ,
bye hahahahah
Math/Geometry
HELP ASAP PLS GEOMETRY
Answers
Answer:ANSWER IS CBD by ?
Step-by-step explanation:
ok so ABC is equal to 180 degreess so /_\ would a right angle which is 90
If the area of a square is 121 cm^2, what is its side length?
I
Answers
Step-by-step explanation:
Area of a square=121 cm^2
l^2=121 cm^2
l=√121cm^2
l=11 cm
Which of the following could be the shape of a person base elect all that apply
1. Triangle
2. Hexagon
3. Circle
4. Pentagon
5 square
Which of the following objects is made up of two circular bases and a lateral surface
A. Cylinder
B. Triangular Pyramid
C. Cone
D. Sphere
Answers
[tex]circle cylinder}[/tex]
here is ur answer dearAnswer:
the answer is cylinder i think
Step-by-step explanation: