Answers
Step-by-step explanation:
Angle at Center = 2 * Angle at Circumference
Let O be the center of the circle.
By using segment AC,
Angle AOC = 2 * Angle ABC = 2 * 75° = 150°.
Therefore the measure of arc AC is 150°.
Related Questions
Your boss calls you and explains that your first visit is to the Barclays Center Stadium. Your boss says the Barclay center is approximately 670,760 square feet, she wants to create a rectangular shaped figure.
- The length of the Barclays Center is 819 feet and the width is 818 feet. However, you are going to use a scale of 1 inch = 100.50 feet. Find the area of the scale drawing.
Answers
Answer:
66.341 Feet
Step-by-step explanation:
length 819
width 818
(Length x width)
divide both by 100.5
819/100.5
818/100.5
8.14925373134
8.13930348259
round
8.15
8.14
length times width
8.15*8.14
66.341
A power function with form y = ax passes through the points (2,
5
and 3,
81
Find the constants a
and pa=
p=
Answers
Answer: a = 47.3;
p = 0.65
Step-by-step explanation: A power function is of the form [tex]y=ax^{p}[/tex] and passes through points (2,5) and (3,81), i.e.:
[tex]5=a.2^{p}[/tex]
[tex]81=a.3^{p}[/tex]
To determine the two unknows, solve the system of equations:
[tex]log5=log(a.2^{p})[/tex]
[tex]log81=log(a.3^{p})[/tex]
Using multiplication and power rules:
[tex]log5=loga+plog2[/tex]
[tex]log81=loga+plog3[/tex]
Giving values to constants:
0.7=loga+0.3p
2=loga+0.5p
This system of equations can be solved by subtracting each other:
[tex]-1.3=-0.2p[/tex]
p = 0.65
Substituting p into one of the equations above:
[tex]loga+0.5(0.65)=2[/tex]
[tex]loga=1.675[/tex]
[tex]a=10^{1.675}[/tex]
a = 47.3
The constants a and p of the power function which passes through points (2,5) and (3,81) are 47.3 and 0.65, respectively.
A company has determined that its maximum profit occurs when it sells 10,000units per month. For every 1,000 units more or less than 10,000 units that thecompany sells, its profit decreases by $5,000. Which of the following equationscan be used to find the number of units, q, in thousands, for which the profitdecreases $35,000 from the maximum?
A. 10 |q−35| =5
B. 5 |q−10| =35
C. 35 |q−10| =5
D. 5 |q−35| =10
Answers
Answer:
B. 5 |q−10| =35
Step-by-step explanation:
Solution:
let's try to understand the problem clearly.
In this question, we asked to calculate the number units which that company produces so that it's profit is decreased from the maximum profit.
We know that, for 10000 units = company will get maximum profit.
Any value less than or greater than 10000 units will decrease the profit.
and we also know that,
For every 1000 units profit is decreased by $5000.
So if maximum profit is at 10000 units,
Then at 9000 units = it will have profit decreased by 5000 from the maximum
if q = 11000 then profit = Maximum - 5000
But we are asked to calculate the profit decrease of $35000 from the maximum.
it means we need 5000 decreased by 7 times = 10000 + 7000 = 17000 units
So, if company produces 17000 units,
profit will be decreased by 5(7000) = 35000
Finally,
B. is the only equation which satisfies this condition.
B. 5 (q-10) = 35
(q-10) = 7
q = 10 + 7 = 17
q = 17000 units
Hence, for 17000 units, company's profit will decrease $35000 from the maximum profit.
What number makes the equation true? Enter the answer in the box. 4= 36 - N
Answers
Answer:
as i see
the answer is 32.....
Consider functions h and k
Answers
Answer:
D
Step-by-step explanation:
got it correct on EDMENTUM
What is the following quotient?
Answers
Answer: Choice C) [tex]2-\sqrt{3}-2\sqrt{2}+\sqrt{6}\\\\\\[/tex]
====================================
Work Shown:
Part 1
[tex]\frac{2-\sqrt{8}}{4+\sqrt{12}}\\\\\\\frac{(2-\sqrt{8})(4-\sqrt{12})}{(4+\sqrt{12})(4-\sqrt{12})}\\\\\\\frac{2(4-\sqrt{12})-\sqrt{8}(4-\sqrt{12})}{(4)^2-(\sqrt{12})^2}\\\\\\\frac{8-2\sqrt{12}-4\sqrt{8}+\sqrt{8}*\sqrt{12}}{16-12}\\\\\\\frac{8-2\sqrt{12}-4\sqrt{8}+\sqrt{8*12}}{4}\\\\\\[/tex]
Part 2
[tex]\frac{8-2\sqrt{12}-4\sqrt{8}+\sqrt{96}}{4}\\\\\\\frac{8-2\sqrt{4*3}-4\sqrt{4*2}+\sqrt{16*6}}{4}\\\\\\\frac{8-2\sqrt{4}*\sqrt{3}-4\sqrt{4}*\sqrt{2}+\sqrt{16}*\sqrt{6}}{4}\\\\\\\frac{8-2*2*\sqrt{3}-4*2*\sqrt{2}+4*\sqrt{6}}{4}\\\\\\\frac{8-4*\sqrt{3}-8*\sqrt{2}+4*\sqrt{6}}{4}\\\\\\[/tex]
Part 3
[tex]\frac{8-4*\sqrt{3}-8*\sqrt{2}+4*\sqrt{6}}{4}\\\\\\\frac{4*2-4*1*\sqrt{3}-4*2*\sqrt{2}+4*\sqrt{6}}{4}\\\\\\\frac{4(2-\sqrt{3}-2\sqrt{2}+\sqrt{6})}{4}\\\\\\2-\sqrt{3}-2\sqrt{2}+\sqrt{6}\\\\\\[/tex]
This shows the answer is choice C.
----------------------------------------------
Explanation:
There are a lot of steps, so I broke things up into 3 sections or parts. The idea I'm applying is if the denominator is of the form [tex]a+\sqrt{b}[/tex], then multiplying top and bottom by [tex]a-\sqrt{b}[/tex] will rationalize the denominator. This is due to the difference of squares rule (step 3 of part 1). The following step shows squaring a square root has the two cancel out.
From that point, I simplified each square root and factored to cancel out a pair of '4's.
To expand out [tex](2-\sqrt{8})(4-\sqrt{12})[/tex], we can use either the FOIL method, the box method, or the distribution property. I used the distribution property.
A company has an 875 a employees on half price Wednesday 64% of the employees eat lunch at the company cafeteria how many employees eat lunch at the cafeteria on Wednesday
Answers
Answer:
560
Step-by-step explanation:
please help asap!! no trolls
Answers
Answer:
Cannot prove as congruent
Step-by-step explanation:
AAA cannot be used to prove whether a triangle is congruent. Only SSS, SAS, ASA, and AAS can be used.
what number is 10% of 65.9
Answers
Answer:6.59
Step-by-step explanation:
Answer:
6.59
if you meant
10% of 65.9 then you answer is 0.659
Q14)
Points A, B and C lie on the circumference of a circle and DE is the
tangent to the circle at A. Angle DAB = 79º and angle EAC = 37º.
2
Find the sizes of angles x and y.
Not to scale
Give a reason for your answers.
B
7
[Total 3
790
1370
E
A
Answers
Answer:
x = 37
y = 79
Step-by-step explanation:
Remark
We are going to go through an extensive discussion of the value of x. The value for y is found exactly the same way.
Top diagram.
The top diagram establishes the fact that if any two points are on the major arc of the circle whose center is 0, then the vertex of the of the two angles so formed are equal. The end points of these two angles must be established by the endpoints of the chord A and B.
Put in much simpler language.
<ACB = <AC'B
The end points of the angles are A and B of the Chord AB.
The Vertex of the angles are both on the major arc of the circle. These two are C and C'
Bottom Diagram
The idea here is to find the value of C. If we do that, then we know what x is in the diagram you provided.
Draw diameter COA Construction
< CAB = 90 Any vertex (C) on circumference with diameter endpoints (A & C) = 90
<CAT_1 = 90 A diameter always meets a tangent at 90o
<BAT_1 = 37 Given
<CAB = 90-37 <CAB and <BAT_1 are complementary
<ACB = 37 A right triangle's acute angles are complementary.
<ACB = x = 37o See top diagram
The measures of the angles of a triangle are shown in the figure below. Solve for x. 72° 64° (4x+20)°
Answers
9514 1404 393
Answer:
x = 6
Step-by-step explanation:
The sum of angles in a triangle is 180°.
72 +64 +(4x +20) = 180
4x = 24 . . . . . subtract 156
x = 6 . . . . . . . divide by 4
Matthew weighed 96 ounces at birth. His sister, Adrienne, weighed 7 pounds at birth. Who
weighed more and how many pounds more?
Answers
Answer:
A
Step-by-step explanation:
96 ounces = to 6 pounds
7-6=1
a cylindrical can needs to have a volume of 6 cubic inches a label is to go around the side of the can. The function S(r)=12/r gives the area of the label in square inches where r is the radius of the can in inches
Answers
Answer:
Following are the solution to this question:
Step-by-step explanation:
Please find the complete question in the attachment.
Cylinder volume V= 6 Cubes - inch
The Formula:
[tex]\to V=\pi r^2 h= 6[/tex]
The (r and h ) is the radius and height of the cylinder and [tex]s(r)= \frac{12}{r}[/tex]represent the region of the mark in this r and h, and that is why as can's radius gets bigger and larger, the label area gets closer to 0.
Answer:
A cylindrical can needs to have a volume of 6 cubic inches. A label is to go around the
side of the can. The function gives the area of the label in square inches
where is the radius of the can in inches
Step-by-step explanation:
In the first week of January, there are 49 dogs and 28 cats in an animal shelter. Throughout the month, the ratio of dogs to cats remains the same. In the last week of January, there are 20 cats in the shelter. How many dogs are there?
Answers
Answer:
35 dogs
Step-by-step explanation:
Given
[tex]49\ dogs: 28\ cats[/tex]
Required
Determine the number of dogs for 20 cats
Represent the required number of dogs as a ratio of number of cats
[tex]x : 20\ cats[/tex]
So, we have:
[tex]49\ dogs: 28\ cats[/tex]
[tex]x : 20\ cats[/tex]
Since, the ratio is the same throughout, we have:
[tex]x : 20\ cats[/tex] = [tex]49\ dogs: 28\ cats[/tex]
Convert ratio to fraction
[tex]\frac{x}{20} = \frac{49}{28}[/tex]
[tex]\frac{x}{20} = \frac{7}{4}[/tex]
Multiply through by 20
[tex]x = \frac{7}{4} * 20[/tex]
[tex]x = 7 * 5[/tex]
[tex]x = 35[/tex]
Which sentence uses correct grammar to describe the situation?
Three boys brought comic books to class. Their teacher has taken all of the books and placed them on her desk.
The boy's comic books are on the teacher's desk.
The boy's comic books are on the teachers' desk.
The boys' comic books are on the teacher's desk.
The boys' comic books are on the teachers' desk.
Question 8(Multiple Choice Worth 5 points)
(MC)
You want to turn each of the following words into an adverb. Which word would require you to add ally instead of ly?
Certain
Comic
Original
Quick
Answers
Answer:
The boys' comic books are on the teacher's desk
comically
Step-by-step explanation:
may run 6 miles in 54 minutes how long will it take her to run 10 miles
Answers
Answer:
It would take her 90 minutes to run 10 miles.
Step-by-step explanation:
First you should divide 54 by 6 and you'll get 9. So it takes her 9 minutes to run 10 miles (which is physically impossible). You multiply 9 times 10 and get 90.
Which of the following percentage is the discount for a textbook ,if the original price is $107,00 and the discount $62?a. 42. b. 45.c. 58.d. 7.2
Answers
Answer:
Concept: Percentage Change
Original Price: 107At a discount of: 62 Hence 107-62= 45Hence BQ8)
Part of a regular polygon is shown below. Each interior angle is 150°. (4
150°
Diagram not
accurately drawn
Calculate the number of sides of the polygon.
Answers
Answer:
12 side polygon
Step-by-step explanation:
Interior angle of n side regular polygon: = ((n-2)x180)/n
((n-2)x180)/n = 150
(n-2)x180 = 150n
180n - 360 = 150n
30n = 360
n = 12
check: (12-2)x180/12 = 150
Answer:
The polygon has 12 sides (a dodecagon).
Step-by-step explanation:
Angles in a Regular Polygon
A polygon with n sides has a total sum of internal angles equal to 180°(n-2). This means that each angle (in a regular polygon) measures
[tex]\displaystyle \frac{180(n-2)}{n}[/tex]
We are given the interior angle of 150°, thus:
[tex]\displaystyle \frac{180(n-2)}{n}=150[/tex]
Multiplying by n:
[tex]\displaystyle 180(n-2)=150n[/tex]
Operating
[tex]\displaystyle 180n-360=150n[/tex]
Rearranging and simplifying:
[tex]\displaystyle 180n-150n=360[/tex]
[tex]\displaystyle 30n=360[/tex]
[tex]n=360/30=12[/tex]
n = 12
The polygon has 12 sides (a dodecagon).
2 doctors is ____% of 25 doctors what do I put in the blank and 9 stores is 3% of ____ stores ?
Answers
Explanation: we set the is over of formula and solve for x then we get the answer have a nice day (:
Joe and Susan are both 40 years old and hope to have enough money saved to retire by the time they're 65. They deposit $6,000 each
year into an account that pays 4% interest compounded annually. Use this information to complete the table.
Formula to Use
Account Balance in 20 years
Total Interest Earned
present value of an annuity
future value of a lump sum
future value of an annuity
$99,875
$112,253
$149,875
$249,875
$286,363
Answers
Answer:
Formula: Future value of annuity
In 20 years: $249,875
Total Interest: $99,875
Step-by-step explanation:
Use the formula for future value:
FV =
P = $6,000
r = 0.04
n = 1
t = 25
FV =
FV = $249,875
To find the total interest earned, first find the total value of the deposit payments:
$6,000 annual payments for 25 years = 6,000 • 25
= $150,000
(I copied that explanation from somewhere else so its a little messed up. I just couldn't explain it properly. Hope this helps!)
Account balance In 20 years is $249,875 and total interest earned is $99,875.
What is the future value?The FV formula assumes a constant rate of growth and a single up-front payment left untouched for the duration of the investment. The FV calculation can be done one of two ways, depending on the type of interest being earned.
We have,
P = $6,000
r = 0.04
n = 1
t = 25
We know the formula for future value
FV= PV [tex](1 + r)^{n}[/tex].
where:
P=Investment amount
R=Interest rate
T=Number of years
According to the question
FV=$6,000×(1+0.04
FV = $249,875
To find the total interest earned, first find the total value of the deposit payments:$6,000 annual payments for 25 years = 6,000 × 25= $150,000
Total interest earned = FV - annually payment for 25 year = $249,875 - $150,000 = $99,875
To learn more about future value from here
https://brainly.com/question/14860893
#SPJ2
Hi guys can you please help me with this test.
Answers
Select all the expressions which are equivalent to three times the sum of six and five.
A. 3 × 6 + 5
B. 3(6 + 5)
C. 3 × 5 + 6
D. (6 + 5) + (6 + 5) + (6 + 5)
E. 3 + (5 × 6)
Answers
Answer:
Step-by-step explanation:
T
Answer:
D. (6+5)+(6+5)+6+5)
Step-by-step explanation:
i am. sure that D. is answer because it is repited three. times
03,
The measures of the angles of a triangle are shown in the figure below. Solve for x.
39°
(7x+16)
Answer: x =
Answers
Answer:
x = 5
Step-by-step explanation:
(7x + 16) = 90 - 39
7x + 16 = 51
7x = 51 - 16 = 35
x = 5
Today, everything at a store is on sale. The store offers a 30% discount. The sale price of a hat is $21.00. What
is the regular price?
Answers
Answer:
70
Step-by-step explanation:
Because 2100 divided by 30 is 70 I hope this is the answer :)
What is the unit rate per bottle if a pack of 25 bottles of juice sells for $5? (1 point)
Answers
Answer:
[Verse 1]
We're waiting every night
To finally roam and invite
Newcomers to play with us
For many years, we've been all alone
We're forced to be still and play
The same songs we've known since that day
An imposter took our life away
Now, we're stuck here to decay
[Pre-Chorus]
Please let us get in
Don't lock us away
We're not like what you're thinking
We're poor little souls
Who have lost all control
And we're forced here to take that role!
We've been all alone
Stuck in our little zone since 1987
Join us, be our friend or just be stuck and defend
After all, you only got...
[Chorus]
Five Nights at Freddy's
Is this where you wanna be?
I just don't get it
Why do you wanna stay?
Five Nights at Freddy's
Is this where you wanna be?
I just don't get it
Why do you want to stay?
Five Nights at Freddy's
[Verse 2]
We're really quite surprised
We get to see you another night
You should have looked for another job
You should have said to this place goodbye
It's like there's so much more
Maybe, you've been in this place before
We remember a face like yours
You seem acquainted with those doors
[Pre-Chorus]
Please let us get in
Don't lock us away
We're not like what you're thinking
We're poor little souls
Who have lost all control
And we're forced here to take that role!
We've been all alone
Stuck in our little zone since 1987
Join us, be our friend or just be stuck and defend
After all, you only got...
[Chorus]
Five Nights at Freddy's
Is this where you wanna be?
I just don't get it
Why do you want to stay?
Five Nights at Freddy's
Is this where you wanna be?
I just don't get it
Why do you want to stay?
Five Nights at Freddy's, oh
Step-by-step explanation:
please help with this question i have 1 hour to finish this test
Answers
Answer:
29
Step-by-step explanation:
2x - 14 = x + 15
2x - x = 15 + 14
x = 29
check
44 = 44
Answer:
pretty sure it's 29
Step-by-step explanation:
equation: 2x-14=x+15
how to solve: add 14 to both side, and subtract x from both sides. The equation will then be x=29.
I might be wrong tho.
The verticles of triangle A are (-1,3) B (7,9) and C (15,-3) Find the coordinates of the intersection of the medians.
please help
Answers
Step-by-step explanation:
Coordinates of A≡(−1,3)
Coordinates of B≡(7,9)
Coordinates of C≡(15,-3)
The median through the vertex C will meet at the mid point of AB.
Coordinate of mid-point on AB=[(-1+7)/2 , (3+9)/2]= (3,6)
Now,
Length of median through vertex C= Distance between (15,-3) and (3,6)
Therefore,
Length of median = √(3-15)²+(6-(-3))²=√144+81=15unit
Hence the length of median through the vertx C is 15 units.
How many solutions does the system of equations below have?
x − 4y = 6
2x − 8y = 12
Answers
Answer:
One solution
Step-by-step explanation:
x - 4y = 6
-4y = 6 - x
-4y/-4 = 6/-4 -x/-4
y = -6/4 + -x/4
2x − 8y = 12
-8y = 12 - 2x
-8y/-8 = 12/-8 - 2x/-8
y = -12/8 + 2x/8
Graph "y = -6/4 + -x/4" and "y = -12/8 + 2x/8" to find how many solutions these lines have.
As shown below, it has only one solution.
The perimeter of a rectangle is at most 24 cm. Two opposite sides are both 4 cm long. What are the possible lengths of the other two sides?
Answers
Answer:
6 cm
Step-by-step explanation:
24 dived by 4=6
Please help me!!!!!!
Answers
1. 88%
2. 20%
3. 65%
4. 4 questions incorrect
5. $75