Use the diagram to complete the statements.
The measure of minor arc EF i
The measure of angle DAB is
35.5
.5
71
109
Answers
Answer:
EF is 109
DAB is 54.5
Step-by-step explanation:
Applying the central angle theorem, the correct statement would be:
Measure of minor arc EF = 109°Measure of angle DAB = 54.5°What is the Central Angle Theorems?The central angle theorem states that:
Measure of intercepted arc = 1/2(measure of inscribed angle)Measure of central angle = measure of intercepted arcThus:
Measure of minor arc EF = m∠ECF = 109°
m∠DAB = 1/2(109°) [m∠ECF = m∠BAD = 109°]
m∠DAB = 54.5°
Therefore, applying the central angle theorem, the correct statement would be:
Measure of minor arc EF = 109°Measure of angle DAB = 54.5°Learn more about central angle theorem on:
https://brainly.com/question/5436956
Related Questions
Ok please help meeeeeeeeeeeeeeeee
Answers
Answer:
Step-by-step explanation:
Volume of a cone is given by the formula,
V = [tex]\frac{1}{3}\pi r^{2}h[/tex]
Here, r = Radius of the circular base of the cone
h = Height
By substituting values from the question,
V = [tex]\frac{1}{3}\times \pi (\frac{6}{2})^2(3)[/tex]
V = 9π
V = 28.27 m³ [Nearest hundred]
If we have to round the answer to the nearest tenth, answer will be,
Volume = 28.3 m³
If we have have to round the answer to the whole number then the answer will be,
Volume = 28 m³
help please !! i need help
Answers
Answer: 1/2x
Step-by-step explanation:
Hope it’s right
At what point(s) do these graphs intersect?
y = x^2 + 3x - 5
y = 4x + 1
Seth's solution:
y = x^2 + 3x - 5
y = 4x + 1
x^2 + 3x - 5 = 4x + 1
x^2 - x - 6 = 0
(x - 3)(x + 2) = 0
x = 3 and x = -2
The graphs intersect at.(-20) and (3,0).
Is Seth's solution correct? Explain.
Answers
The graphs intersect at the points (3, 13) and (-2, -7).
How to determine the intersection of 2 graphsGiven the following equations:
y₁ = x² + 3x - 5 (quadratic equation)
y₂ = 4x + 1 (linear equation)
To find the intersection point(s) of the two graphs, we need to solve their equations simultaneously. By so doing, we'll set the equations equal to each other:
y₁ = y₂
x² + 3x - 5 = 4x + 1
collect the like terms
x² - x - 6 = 0
Now we'll factor the quadratic expression:
(x - 3)(x + 2) = 0
x - 3 = 0 or x + 2 = 0
x = 3 or x = -2
Now we have the points of intersection on the x-axis.
To get the corresponding values on the y-axis, we'll plug each value of x into either of the original equations.
Let's use the first equation:
y₁ = x² + 3x - 5
When x = 3:
y₁ = 3² + 3(3) - 5 = 13
When x = -2:
y₂ = 4x + 1 = 4(-2) + 1 = -7
So the first intersection point is (3, 13) and the second intersection point is (-2, -7).
Therefore, the graphs intersect at the points (3, 13) and (-2, -7).
Learn more about intersection here:
https://brainly.com/question/29185601
#SPJ1
One positive number is 9 more than twice another. If their product is 95, find the numbers.
Answers
Answer:
The numbers are 19 and 5
Step-by-step explanation:
Given
Let the numbers be [tex]x\ and\ y.[/tex]
So:
[tex]x = 9 + 2y[/tex] --- First statement
[tex]x*y = 95[/tex] --- second statement
Required
Find x and y
Substitute [tex]x = 9 + 2y[/tex] in [tex]x*y = 95[/tex]
[tex](9 + 2y) * y = 95[/tex]
[tex]9y + 2y^2 = 95[/tex]
Rewrite as:
[tex]2y^2 + 9y - 95 = 0[/tex]
Expand
[tex]2y^2 -10y +19y- 95 = 0[/tex]
Factorize
[tex]2y(y -5) +19(y- 5) = 0[/tex]
[tex](2y +19)(y- 5) = 0[/tex]
Solve for y
[tex]2y + 19 =0[/tex] or [tex]y - 5 = 0[/tex]
[tex]2y = -19[/tex] or [tex]y = 5[/tex]
[tex]y = -\frac{19}{2}[/tex] or [tex]y=5[/tex]
Since the numbers are positive, we take only:
[tex]y=5[/tex]
Substitute [tex]y=5[/tex] in [tex]x = 9 + 2y[/tex]
[tex]x = 9 + 2 * 5[/tex]
[tex]x = 9 + 10[/tex]
[tex]x = 19[/tex]
The numbers are 19 and 5
who can help me please
Answers
9514 1404 393
Explanation:
Statement .... Reason
( ) .... Given (repeat of the given statements)
ΔACB ≅ ΔDCE .... SAS postulate
BA ≅ ED .... corresponding parts of congruent triangles are congruent
One of two complementary angles is 71 degrees. Let x = the measure of
the other complementary angle. Write and solve an equation to find the
measure of angle x.
Answers
Answer:
19 degrees
Step-by-step explanation:
Sum of 2 angles is complementary,
x + 71 = 90
x = 90 - 71
x = 19 degrees
Please guys help me please
Answers
Answer:
A will be the answer hope this will help u
Answer:
the correct option is A. (-5,-7)
like (5,-7) I. e (+,-) lies in the 3rd quadrant and the opposite of 3rd quadrant vertically is the 2nd quadrant.
so, the answer should come as (-,-) according to the 2nd quadrant.
so, answer will be (-5,-7)
I hope it's correct.
HELP ASAP I WILL MARK BRAINLEY
At Camille's Hats, 25% of the 28 hats are baseball caps. How many baseball caps are there?
Answers
Answer:
112
Step-by-step explanation:
25 = 1/4 of 100. so u gotta do 4 * 28
Answer:7
Step-by-step explanation:
The drawing shows a semicircular window separated into 3 sections of . Red Green Green Approximately how many of the glass are red? The window a diameter of 18 units
Answers
Answer:
[tex] \frac{45π}{2} \: units^{2} \: ≈ \: \boxed{70.7 \: units²} [/tex]
______________________
The correct option is 70.7
Step-by-step explanation:
Since the green and red make a semicircle, the total measure must be 180°.
Since the two green sectors are both 40°.
The red must add up with the green sectors to total 180°.
This means that:
red sector + 80° = 180°.
–80° –80.
red sector = 100°.
To find the area of a sector, we must first understand the area of the circle itself which is πr², where r is the radius.
Since a full circle is 360°.
(360° / 360°)( πr² ) will be the area.
Or in radians: (2π rad / 2π rad)( πr² ).
From here, we can create the formula:
Area of a sector = ( n° / 360° ) ( πr² ). Where n is the measure or the sector in degrees, and r is the radius.
You may also know that the diameter is twice the measure of the radius.
This means that if we are given a diameter of 18 units from the problem, the radius will be 18/2 or 9 units.
Lastly, all we have to do is substitute all this information to find the area of sector.
Area of the red sector = ( n° / 360° ) ( πr² ).
Area of the red sector =
( (100°) / 360° ) ( π(9)² ).
Area of the red sector = ( 5 / 18 ) ( 81π )
Area of the red sector = ( (5)(81π) / 18 )
Area of the red sector = ( (405π) / 18 )
Area of the red sector = ( 45π / 2 ) units²
Area of the red sector =
(141.371669412.. units²) / 2
Area of the red sector =
70.6858347058.. units²
Area of the red sector ≈
70.7 units²
Which Factors would simplify in this expression?
(x-8) 4x(x+6)
——————x————-
8(x+6)(x+10) (x+10)
Answers
Answer:
(x+6)
Step-by-step explanation:
because you have ( x+6) on bottom of the first equation and on the top on the second equation
How many rabbits will
there be 6 days later?
If a rabbits population starts at 150 rabbits and decreases 5% per day.
Answers
Answer:
105 rabbits
Step-by-step explanation:
Multiple 5 percent by six days
5%x6=30%
150 rabbits --- 100%
x ----- 30%
100x=150x30
100x=4500 : 100
x=45
150-45=105
Answer:
880
Step-by-step explanation:
I've taken 5/105 divided and gotten 20.I have taken 20 * 6 which is the decrease so that you can get after six days how many rabbits were decreased and 150 * 6 that you can get how many rabbits are there in 6 days.then I took 900 - 120 i go 880 rabbits hope that helps.
t/15=3 what operation is that?
Answers
Answer:
t = 45
Step-by-step explanation:
[tex]\frac{t}{15} = \frac{3}{1}[/tex]
t × 1 = 15 × 3
t = 45
3.
1- =
How do you subtract 1 - 1/2?
Answers
Answer:
You can just type it in the calculator. 1/2=0.5 so 1 - .05= 0.5 . Lmk if there is more to the question!
Step-by-step explanation:
Will it fit in a pot with a height of 20 cm and a bottom radius of 10 cm of 2.5 liters?
Can someone help me pls I need it fast
Answers
Answer:
Step-by-step explanation:
Volume of pot = πr²h
= 3.14 * 10 * 10 * 20
= 6280 cubic cm
1000 cubic cm = 1 litre
6280 cubic cm = 6.28 litre
∵ 2.5 litres will fit in the pot as the capacity of pot is 6.28 litre
The area of a rectangle is 46 square inches. If the length is 4 times the width, thon find
the dimensions of the rectangle. Round off your answers to the nearest hundredth
Answers
Answer:
w = 3.39 in
l = 13.56 in
Step-by-step explanation:
46 = w(4w) = 4w²
w² = 11.5
w = 3.39 in
l = 13.56 in
Advertising expenses are a significant component of the cost of goods sold. Listed below is a frequency distribution showing the advertising expenditures for 75 manufacturing companies located in the Southwest. The mean expense is $50.93 million and the standard deviation is $10.80 million. Is it reasonable to conclude the sample data are from a population that follows a normal probability distribution? Advertising Expense ($ Million) Number of Companies 25 up to 35 4 35 up to 45 19 45 up to 55 27 55 up to 65 16 65 up to 75 9 Total 75
Answers
Answer:
Step-by-step explanation:
The table can be computed as:
Advertising Expenses ($ million) Number of companies
25 up to 35 4
35 up to 45 19
45 up to 55 27
55 up to 65 16
65 up to 75 9
TOTAL 75
Let's find the probabilities first:
[tex]P(25 - 35) = P \Big(\dfrac{25-50.93}{10.80}<z< \dfrac{35-50.93}{10.80}\Big) \\ \\ =P \Big(\dfrac{-25.93}{10.80}<z< \dfrac{-15.93}{10.80}\Big) \\ \\ =P(-2.4009<z<-1.475) \\ \\ =(0.0694 -0.0082) \\ \\ =0.0612[/tex]
For 35 up to 45
[tex]P(35 - 45) = P \Big(\dfrac{35-50.93}{10.80}<z< \dfrac{45-50.93}{10.80}\Big)=P \Big(\dfrac{-15.93}{10.80}<z< \dfrac{-5.93}{10.80}\Big) \\ \\ =P(-1.475<z<-0.5491) \\ \\ =(0.2912 -0.0694) \\ \\ =0.2218[/tex]
For 45 up to 55
[tex]P(45 - 55) = P \Big(\dfrac{45-50.93}{10.80}<z< \dfrac{55-50.93}{10.80}\Big)=P \Big(\dfrac{-5.93}{10.80}<z< \dfrac{4.07}{10.80}\Big) \\ \\ =P(-0.5491<z<0.3769) \\ \\ =(0.6480 -0.2912) \\ \\ =0.3568[/tex]
For 55 up to 65
[tex]P(55 - 65) = P \Big(\dfrac{55-50.93}{10.80}<z< \dfrac{65-50.93}{10.80}\Big)=P \Big(\dfrac{4.07}{10.80}<z< \dfrac{14.07}{10.80}\Big) \\ \\=P(0.3768<z<1.3028) \\ \\ =(0.9032-0.6480) \\ \\ =0.2552[/tex]
For 65 up to 75
[tex]P(65 - 75) = P \Big(\dfrac{65-50.93}{10.80}<z< \dfrac{75-50.93}{10.80}\Big)=P \Big(\dfrac{14.07}{10.80}<z< \dfrac{24.07}{10.80}\Big) \\ \\ =P(1.3028<z<2.2287) \\ \\=(0.9871-0.9032) \\ \\ =0.0839[/tex]
Chi-Square Table can be computed as follows:
Expense No of Probabilities(P) Expe [tex](O-E)^2[/tex] [tex]\dfrac{(O-E)^2}{E}[/tex]
compa cted E (n*p)
nies (O)
25-35 4 0.0612 75*0.0612 = 4.59 0.3481 0.0758
35-45 19 0.2218 75*0.2218 = 16.635 5.5932 0.3362
45-55 27 0.3568 75*0.3568 = 26.76 0.0576 0.021
55-65 16 0.2552 75*0.2552 = 19.14 9.8596 0.5151
65-75 9 0.0839 75*0.0839 = 6.2925 7.331 1.1650
[tex]\sum \dfrac{(O-E)^2}{E}= 2.0492[/tex]
Using the Chi-square formula:
[tex]X^2 = \dfrac{(O-E)^2}{E} \\ \\ Chi-square \ X^2 = 2.0942[/tex]
Null hypothesis:
[tex]H_o: \text{The population of advertising expenses follows a normal distribution}[/tex]
Alternative hypothesis:
[tex]H_a: \text{The population of advertising expenses does not follows a normal distribution}[/tex]
Assume that:
[tex]\alpha = 0.02[/tex]
degree of freedom:
= n-1
= 5 -1
= 4
Critical value from [tex]X^2 = 11.667[/tex]
Decision rule: To reject [tex]H_o \ if \ X^2[/tex] test statistics is greater than [tex]X^2[/tex] tabulated.
Conclusion: Since [tex]X^2 = 2.0942[/tex] is less than critical value 11.667. Then we fail to reject [tex]H_o[/tex]
which one? Help I’ll give extra points
Answers
Answer:
You are right; It is Figure B
Step-by-step explanation:
A bookstore had 81 copies of a magazine, Yesterday the bookstore sold 7/9 of these copies. How many copies were sold yesterday?
Answers
Answer: 63 copies were sold yesterday.
Step-by-step explanation: To find how many copies were sold yesterday, simply multiply 81 by 7 which is 567. Then, divide 567 by 9 which is 63.
How I would have done it is found out what 1/9 was, by dividing 81 by 9 which is 9, then multiply 9 and 7 to get the amount of books sold which is 63
Please correct me if I am wrong, have a good day!
Are 20,30, and 16 the sides of a right triangle? Please show workkk
Answers
The table shows Annabeth’s scores on her math assignments. Find the mean.
Answers
Answer:
90.35
Step-by-step explanation:
its on envisions
8-2 quiz
The diagram shows three touching circles.
A is the centre of a circle of radius x centimeters.
B and C are the centers of circles of radius 3.8 centimeters. Angle ABC = 70.
Find the value of x
Answers
Answer:
x = 7.31 cm
Step-by-step explanation:
cos 70° = 3.8/AB
0.3420 = 3.8/AB
AB = 11.11 cm
x = 11.11 - 3.8 = 7.31 cm
The value of x which is the radius of circle A is 7.31 cm
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
AB = AC, hence ∠B = ∠C = 70°
∠A + ∠B + ∠C = 180° (angles in a triangle)
∠A + 70 + 70 = 180
∠A = 40°
BC = 3.8 + 3.8 = 7.6
Using sine rule:
BC/sinA = AB / sinB
7.6/sin(40) = AB/sin(70)
AB = 11.11 cm
x = 11.11 - 3.8 = 7.31 cm
The value of x which is the radius of circle A is 7.31 cm
Find out more on equation at: https://brainly.com/question/2972832
Please help with math and explain if u do i’ll give brainly!!
Answers
Answer:
3/2
Step-by-step explanation:
MNOP to ABCD: The answer has to be greater than one because ABCD increases in size from MNOP.
To get the scale factor you have to compare the sides.
Line AD = 6 in.
Line MP = 4 in.
6/4 = 3/2
what’s 1 + 1 + 1 + 1 x 0 x 1 x 1 x 1 + 1 + z + 33 + π + 8 + π?
will give ALL my points
Answers
What's the inequality?
Answers
Answer:
I believe the answer is D coorrect me if im wrong
Step-by-step explanation:
if im right brainliest?
or 5 stars and heart
Lakisha is responsible for bringing the desserts to a friend's birthday
party. She is buying a cake for $25.00 and also cupcakes for $1.25
each. If she has budgeted $60 total, what is the maximum number of
cupcakes she can buy?
a) 68 cupcakes
b) 48 cupcakes
c) 28 cupcakes
d) 20 cupcakes
Answers
A store is having a sale on jelly beans and almonds. For 2 pounds of jelly beans and 3 pounds of almonds, the total cost is $11. For 4 pounds of jelly beans and 8 pounds of almonds, the total cost is $25. Find them cost for each jelly beans and each pound of almonds.
Answers
$1 for a pound of almonds
Find the magnitude of AB.
A(-2, 6), B(1, 10)
O A 2
OB. ✔️15
O C.5
OD ✔️2
Answers
Answer:
C. 5
Step-by-step explanation:
Use the Distance Formula.
Substitute the values of x1 , y1 , x2 , and y2 .
|AB|² =|(1--2)²+(10-6)²|
|AB|² = |9+16|
|AB| = √ 25
|AB| =5
what is parallel to y=5x + 3
Answers
Answer:
y=5x
Step-by-step explanation:
The slope of the line is the same as the original equation, with the 3 just shifting the line down 3 spots on the y axis.
What is the cos(65)?
Answers
-4x = 16
a -64
b 4
c 20
d-4
Answers
-4× = 16 answer: -4
Step-by-step explanation:
-4 × -4 = 16