Please use the following image for the next 7 questions. Keep in mind that because XY is tangent to circle M, XM and XM form a right angle.
XM = 11 and YM = 36.
What is the area of circle M?
What is the circumference of circle M?
Find the length of XY .
Find the measure of angle M.
Find the area of triangle XYM.
Find the area of the minor sector that has been created as part of triangle XYM.
Find the arc length of the minor arc from point X to the point where YM intersects with the circle.
Answers
Step-by-step explanation:
• the area of circle M = 3.14×11² = 379.94
• the circumference of circle M =
2×3.14×11 = 69.08
• XY =√36²-11²=√1296-121=√1175=34.28
• L M = cos~¹ 11/36 = cos~¹0.3055 = 72.21°
• the area of triangle XY = ½×11×34.28
= 188.54
• the area of minor sector
= 72.21/360 × 379.94 = 76.20
• the minor arc from point X to
the point where YM intersects
withthe circle
= 72.21/360 × 69.08 = 13.86
Related Questions
What is the perimeter, in units, of polygon EFGHJK?
Answers
Answer:
38 units
Step-by-step explanation:
The sides of the polygon can be counted directly, as they are all straight
EF = 2
FG = 10
GH = 9
HJ = 8
JK = 7
KE = 2
perimeter is the sum of all sides
= 2 + 10 + 9 + 8 + 7 + 2
= 38 units
A telephone pole is 24 feet tall. A 26 foot guy wire is used to stabilize the pole. How far from the base of the telephone pole should the end of the guy wire be set?
Answers
Step-by-step explanation:
Let,
the telephone pole be AB
the wire be AC
therefore AB=24
AC=26
By using Pythagora's theorem
(AC)² =(AB)² + (BC)²
(26)² =(24)² + (BC)²
676 = 576 + (BC)²
(BC)²= 676 - 576
(BC)²=100
BC =✓100
BC. =10
Therefore, the base of the telephone pole is set 10m far
HOPE IT HELP YOU
Find the volume of a
rectangular prism where
1= 3 feet, w= 7 feet, and
h = 9 feet. (V = lwh)
Answers
Answer:
v = 189 ft³
Step-by-step explanation:
v = lwh
v = 3 * 7 * 9
v = 189 ft³
Please help me with this geometry question and show work
Answers
(3) 8
Step-by-step explanation:
Note that ∆ADE is similar to ∆ABC. As such, the ratios of their legs are equal. Also note that AD = AB + BD.
BC/AB = DE/AD
BC/10 = 12/(10 + 5) = 12/15 = 4/5
or
BC = 10(4/5) = 8
Please help this is due today!!
Answers
Answer:
81 grams
Step-by-step explanation:
if you use the calculator by putting in 7 for t in the equation: 100(0.97)^7
then solve you get 80.79..... a big long decimal. round to the nearest whole number and you get 81
Select the correct answer. 2 Jay stores hay in cubic stacks on his farm. If the length of each stack is 3 yard, what is the volume of hay in each stack? O A. cubic yard O B. cubic yard OC. cubic yard OD 8 cubic yard 27 Reset Next
Answers
Cubic stack would mean all the sides are the same length.
The length of the side is given as 3 yards.
Volume = 3^3 = 3 x 3 x 3 = 27
Volume = 27 cubic yards.
What is the solution set of 6 x^2 - 24 = 0?
{-2}
{-2, 2}
{2}
Answers
Answer: 1. x = 2
2. x = -2
Step-by-step explanation:
can someone help?? thanks and no links pls
Answers
Answer:
x = 10
Step-by-step explanation:
The angles are vertical angles and vertical angles are equal
8(x-1) = 6(x+2)
Distribute
8x-8 = 6x+12
Subtract 6x from each side
8x-8 -6x = 6x+12-6x
2x-8 = 12
Add 8 to each side
2x-8+8 = 12+8
2x=20
Divide by 2
2x/2 = 20/2
x = 10
Answer:
x must be 10
Step-by-step explanation:
The two angles shown are "vertical angles" and are thus equal.
So 8(x - 1) = 6(x + 2), or (after carrying out the indicated multiplication):
8x - 8 = 6x + 12, or
2x = 20
Then x must be 10.
How do you write an equivalent logarithmic equation for e^4=x
Answers
Answer:
4 = ln x
Step-by-step explanation:
e^4=x
Take the natural log of each side
ln(e^4)=ln(x)
We know ln a^b = b ln a
4 ln e = ln x
ln (e) =1
4 = ln x
John made this model to show \frac{4}{7}\times\frac{13}{9} 7 4 × 9 13 Using John's model, what is \frac{4}{7}\times\frac{13}{9} 7 4 × 9 13 ? You may use the scratchpad to show your work.
Answers
Answer:
[tex]\frac{4}{7}\times\frac{13}{9} = \frac{52}{63}[/tex]
Step-by-step explanation:
Given
See attachment for model
Required
Determine [tex]\frac{4}{7}\times\frac{13}{9}[/tex] from the model
The model is represented by:
[tex]\frac{4}{7}\times\frac{13}{9} = \frac{4}{7}\times\frac{9}{9} + \frac{4}{7}\times\frac{4}{9}[/tex]
To get: [tex]\frac{4}{7}\times\frac{9}{9}[/tex], we consider the first partition
The number of shaded box is 63 ---- this represents the denominator
The total boxes shaded at the bottom is 36 ---- this represents the numerator
So, we have:
[tex]\frac{4}{7}\times\frac{9}{9} = \frac{36}{63}[/tex]
To get: [tex]\frac{4}{7}\times\frac{9}{9}[/tex], we consider the first partition
The number of shaded box is 63 ---- this represents the denominator
The total boxes shaded at the bottom is 16 (do not count the gray boxes) ---- this represents the numerator
So, we have:
[tex]\frac{4}{7}\times\frac{4}{9} =\frac{16}{63}[/tex]
The equation becomes:
[tex]\frac{4}{7}\times\frac{13}{9} = \frac{4}{7}\times\frac{9}{9} + \frac{4}{7}\times\frac{4}{9}[/tex]
[tex]\frac{4}{7}\times\frac{13}{9} = \frac{36}{63} + \frac{16}{63}[/tex]
[tex]\frac{4}{7}\times\frac{13}{9} = \frac{36+16}{63}[/tex]
[tex]\frac{4}{7}\times\frac{13}{9} = \frac{52}{63}[/tex]
What is a two-column proof
Answers
Answer:
A two-column proof uses a table to present a logical argument and assigns each column to do one job, and then the two columns work in lock-step to take a reader from premise to conclusion.
Step-by-step explanation:
Basically in simple terms, one side is the statements, and the otherside is the reasoning
What does "Time (s)" represent in the graph?
Time vs. Position of Battery Operated Car
the y-axis
O the dependent variable
O an inverse relationship
o the independent variable
sition (m)
Answers
Answer:
the independent variable
Step-by-step explanation:
tome is the independent variable
position is the dependent variable
In the given graph titled "Time vs. Position of Battery Operated Car," the "Time (s)" represents the independent variable.
The independent variable is typically plotted on the x-axis of a graph and represents the variable that is intentionally changed or controlled in an experiment or study.
In this case, the graph shows how the position of the battery-operated car changes over time, with time being the independent variable.
So the time represents the independent variable.
To learn more on Graph click:
https://brainly.com/question/17267403
#SPJ7
Four and two thirds add one and three fourths
Answers
Answer:
4 2/3 + 1 3/4 = 6 5/12
What is the distance between the following points?
Answers
A garden is 10m by 12m. A fence is put around the outside of the garden. The total length of the fence is
Answers
perimeter = length+length + width+width
therefore 10+10+12+12= 44
perimeter= 44m
Use the Distance Formula and the Pythagorean Theorem to find the distance, to the nearest tenth, from T(2, –2) to W(–7, 3).
Answers
Answer:
10.3 units
Step-by-step explanation:
coordinate points are
T(2, -2) =(x1 , y1)
W(-7, 3) =(x2 , y2)
distance formula = [tex]\sqrt{(x2 -x1)^2 + (y2 -y1)^2}[/tex]
=[tex]\sqrt{(-7-2)^2 + {3-(-2)}^2[/tex]
=[tex]\sqrt{(-9)^2 + (3+2)^2[/tex]
=[tex]\sqrt{81 + 5^2[/tex]
=[tex]\sqrt{81 + 25[/tex]
=[tex]\sqrt{106[/tex]
=10.29563014
=10.3 (after converting it to the nearest tenth)
When the sun shines at a 60° angle to the ground, Talisa's shadow is 36 inches long.
Answers
Answer:
Talisa is 62 inches tall
Step-by-step explanation:
tan = opp/adj
tan60 = opp/36
36 * tan 60 = opp
use calculator
opp = 62.353829072479583
Rounded
Talisa is 62 inches tall
Answer:
Using the right triangle created by this situation, and the fact that the trig ratio tan(θ) = opposite/adjacent, we can say tan(60°) = h/36 or h = 36•tan(60°) = 62.354So, to the nearest inch, Talisas is 62 inches long.if you satisfied to my answer ,can you put brainliest in top of my name , and ur welcomecan someone PLEASE HELP me?? the answer has to be in simplest form and i keep getting it wrong. the ixl score needs to be at 68 and im only at 30. i really need this done please
explaining your answer to me will get you brainliest.
Answers
Answer: The formula for sector area is simple, multiply the central angle by the radius squared, and divide by 2: Sector Area = r² * α / 2. So you want to do that for every problem like this
Step-by-step explanation:s
=========================================================
Explanation:
Let's ignore the area of the shaded slice for now. Instead, we'll find the area of the full circle
We plug in the radius r = 1 to find that
A = pi*r^2
A = pi*1^2
A = pi
The exact area of that full circle is pi square meters. You can think of an actual pie (the baked pastry, not the constant) with this area as a way to help conceptualize things.
If we wanted the whole circle, then we'd say pi is the answer. However, we only want a slice of that circle. The fractional amount 66/360 represents the slice we want. This fraction reduces to 11/60 after you divide both parts by 6. If you were to cut the pizza up into 60 slices, then you would shade 11 of them in to represent the green area.
Multiply 11/60 with the area pi to get the final answer 11pi/60
This answer is exact in terms of pi
To get an approximate value, you could replace pi with 3.14 to get 11pi/60 = 11*3.14/60 = 0.57567 meaning the green shaded area is roughly 0.57567 square meters. Use more decimal digits of pi to get a more accurate shaded area.
show the following equations on a number line. a) -16 < 4x _ x÷2
Answers
Step-by-step explanation:
-16(2)<4x(2)-x/2(2)
-32<8x-x
-32<7x
-32/7<7x/7
-32/7<x
-4.5714285714285714<x
~-4.56<x
So after drawing the number line, indicate it starting from negative 4.6 and pointing the arrow towards the right. Do not shade
Find the word or phrases that best complete the sentence intersecting planes ___ intersect in exactly one point
Answers
Answer:
never
Step-by-step explanation:
Intersecting planes are planes that intersect along a given line.
To explain this better, consider the following definitions:
i. A point: This is denoted by a dot and it is a location marked on a space or a plane.
ii. A line: This is the distance between two points. It is one-dimensional.
iii. A plane: This is a two-dimensional, flat surface with no thickness formed by points and extends infinitely.
Therefore, since intersecting planes intersect along a line, it is not possible that they intersect in exactly one point given that a line is the distance between points.
Write the Slope Intercept Form equation of the line that passes through the points (-4,-2) and (-2,3)
Answers
Answer:
y = 5/2x + 8
Step-by-step explanation:
y2 - y1 / x2 - x1
3 - (-2) / -2 - (-4)
5 / 2
= 5/2
y = 5/2x + b
3 = 5/2(-2) + b
3 = -5 + b
8 = b
Bill is ten years older than his sister. If Bill was twenty-five years of age in 1983, in what year could he have been born?
Answers
Answer:
1968
Step-by-step explanation:
83-25=58
Bill would of been born in 1958
Hope this helps :)
Evaluate the following f(x) = x^2 - 6 for f(4)
Answers
Answer:
Just replace the variable "x" with "5":
f(5) = 2×5 + 4 = 14
Answer: f(5) = 14
Step-by-step explanation:
Consider the graph of the function f(x)=2x.
Which statement describes a key feature of
function g if g(x) = 2f(x)? Answers:
A. y-intercept at (0,2)
B. y-intercept at (2,0)
C. horizontal asymptote of y = -2
D. horizontal asymptote of y = 2
Answers
Given:
The parent function is:
[tex]f(x)=2^x[/tex]
The other function is:
[tex]g(x)=2f(x)[/tex]
To find:
The statement that describes a key feature of function g.
Solution:
We have,
[tex]f(x)=2^x[/tex]
[tex]g(x)=2f(x)[/tex]
Using these two functions, we get
[tex]g(x)=2(2)^x[/tex]
Putting [tex]x=0[/tex], we get
[tex]g(x)=2(2)^{(0)}[/tex]
[tex]g(x)=2(1)[/tex]
[tex]g(x)=2[/tex]
The y-intercept of the function g at (0,2). So, option A is correct and option B is incorrect.
We know that [tex]g(x)\to 0[/tex] as [tex]x\to -\infty[/tex] and it will never intersect the line [tex]y=0[/tex]. It means the horizontal asymptote of the function g is
Therefore, the correct option is A.
Answer:
A
Step-by-step explanation:
Guide Questions:
1. How students have age between 12 and 14?
2. How many 14-year-old grade 7 students do there?
Answers
Answer:
2. There are 5 students 14 years old 7 grade
The equation of a linear function in point-slope form is y – y1 = m(x – x1). Harold correctly wrote the equation y = 3(x – 7) using a point and the slope. Which point did Harold use
Answers
Answer:
Coordinate of points = (7 , 0)
Step-by-step explanation:
Given:
Equation of slope;
y – y1 = m(x – x1)
Equation of slope;
y = 3(x – 7)
Find:
Coordinate of points
Computation:
By comparing
y - 0 = 3(x - 7)
So,
y1 = 0
m = 3
x1 = 7
Coordinate of points = (7 , 0)
If the smallest angle of rotation for a regular polygon is 18, how many sides does polygon have?
10
12
20
24
Answers
Answer: There are 20 sides of a given regular polygon.
Step-by-step explanation:
To calculate the sides of a regular polygon, we use the equation:
[tex]\text{Number of sides}=\frac{360^o}{\text{Smallest angle of rotation}}[/tex]
We are given:
Smallest angle of rotation = [tex]18^o[/tex]
Putting values in above equation, we get:
[tex]\text{Number of sides}=\frac{360^o}{18^o}\\\\\text{Number of sides}=20[/tex]
Hence, there are 20 sides of a given regular polygon.
Answer:
20
Step-by-step explanation:
edg did the test
There are 18 apples and a number of oranges in a box. The probability of choosing an
3
-
apple is
Find the total number of apples and oranges in the box.
3/7
Answers
Answer:
60 apples and oranges
Step-by-step explanation:
18/3/7 = 42
18/42 = 3/7
18+42 = 60
need help with this Q&A 4
Answers
Answer:
y=4x + 3/4
Step-by-step explanation:
What is the interquartile range (IQR) of the data?
Answers
Answer:
15
Step-by-step explanation:
looks like quartile 3 is at 45
IQR is Q3-Q1 so 45-30 = 15