Answer:
r1 and r2 are the radii of two concentric circles
To find:
The length of the chord of the larger circle.
Solution:
We have given the two concentric circles which means both the circles have the same centre.
The chord of the larger circle toches the inner circle so the chord of the larger circle will be the tangent of the smaller circle.
And we know that the radius of the circle is perpendicular to the tangent of the circle.
Let 2x be the length of the chord of the circle.
r1 is the radius of the larger circle.
r2 is the radius of the smaller circle.
So by the Pythagoras theorem,
The length of the half of the chord is given by:
r1² = x² + r2²
x² = r1² - r2²
x = √r1² - r2²
So,
The length of the chord will be 2x = 2√r1² - r2² units
Step-by-step explanation:
(4z^5 - 14z^4 + 10z^3 - 16z^2 + 41z - 2) / (z - 2)
Answer:
4z4−6z3−2z2−20z+1
Step-by-step explanation:
4z5−14z4+10z3−16z2+41z−2
z−2
=
4z5−14z4+10z3−16z2+41z−2
z−2
=
(z−2)(4z4−6z3−2z2−20z+1)
z−2
=4z4−6z3−2z2−20z+1
(theres no more like terms so u cant)
Select all of the solutions to the equation below.
12x2=24
Answer:6 4
Step-by-step explanation:
A fundraiser lottery draws two winners each month from 50 tickets numbered one through 50 Margaret always puts her age 34 on her lottery ticket in inches it into the lottery this month the number five is drone first and removed from the lottery what is the probability of drawing the number 34 on the second drawl
Step-by-step explanation:
1/49 because 1 ticket got removed so the total of remaining tickets is 49
1 1/6 + 2 3/8 =
i need help in class
Answer:
3 13/24
Step-by-step explanation:
A student has a container with a volume of 1.5 liters. She estimates the volume to be 1.2 liters. By
what percent is the student's estimate off?
Answer:
The student's estimate is 20% off.
Step-by-step explanation:
Given that a student has a container with a volume of 1.5 liters, so
Exact value = 1.5 litersAs the student estimates the volume to be 1.2 liters, so
Approx value = 1.2 litersTherefore,
Percentage Error = [ |Approx Value - Exact value| ] / [ | Exact value |] × 100
= | 1.2 - 1.5 | / | 1.5 | × 100
= [ 0.3 / 1.5 ] × 100
= 0.2 × 100
= 20%
Therefore, the student's estimate is 20% off.
Match the property with the statement.
6(11)=11(6)
Commutative property of multiplication
Distributive property of multiplication over addition
Associative property of multiplication
Multiplication property of 1
Multiplication property of 0
Answer:
Associative Property of Multiplication
Step-by-step explanation:
associative property is where the order stays the same but the parenthesis are rearranged.
The ramp for a moving truck is 8 feet long If the bed of the truck is 5 feet off of the ground , how from the back of the truck will the ramp extend ?
Solve the system of equations.
= y = 7x + 43 y = 2x + 13
a. (-6, 1)
b. (6, -1)
c. (6, 1)
d. No solution
No solution Please select the best answer from the choices provided
Solve by the elimination method. 4x - y = 28 x + 4y 24
Answer:
x=8,y=4
Step-by-step explanation:
I have no idea help me
Answer:
khjkug
Step-by-step explanation:
Answer:
idxk either *hug*
Step-by-step explanation:
Tell how many terms the expression has.
v/5+3•7
There is/are ( )term(s)
Help me please!? I don’t get it
9514 1404 393
Answer:
$48
Step-by-step explanation:
You are being asked to find the total surface area of the rectangular prism that is 14 in by 8 in by 4 in. Then you are to multiply that value by 3 (to make it be the area of 3 boxes). After that, you need to multiply by the cost per square inch to find the cost of the wrapping paper for three boxes.
__
The area formula is ...
A = 2(LW +H(L+W))
Filling in the given dimensions, we have ...
A = 2(14×8 +4(14 +8)) = 2(112 +4(22)) = 2(200) = 800 . . . square inches
The area of the box for 1 pair of shoes is 800 square inches, so the area of the boxes for 3 pairs of shoes is ...
3 × 800 in² = 2400 in²
And the cost is ...
(2400 in²)($0.02/in²) = $48
The cost to cover three shoe boxes is $48.
Answer:
48 $ box's............
Hey what is the answer to this picture what is the answer
Answer:
Hey, your picture is non-existent, you know?
Given the replacement set:
s={2.5, 3.5, 4.5}
Which inequality is true?
s−4>6.5
s+5≥7.5
s+4<6.5
s−5≥7.5
Answer:
c
Step-by-step explanation:
If the given replacement set is,s={2.5, 3.5, 4.5}. The inequality C is true,s+4<6.5.
What is inequality?A collection of two or more inequalities in one or more variables is known as a system of inequalities. When there are multiple constraints on a problem's potential solutions and a range of potential solutions are needed, systems of inequalities are used.
The given set is,
s={2.5, 3.5, 4.5}
The maximum or minimum values of a situation with multiple constraints are frequently determined using a system of linear inequalities.
In order to examine the replacement set we have to add the number of values in each term.
s+4={2.5+4,3.5+4,4.5+4}
s+4={6.5,7.5,8.5}
All the value in the set is less than 6.5.As a result,
s+4<6.5
Thus, if the given replacement set is,s={2.5, 3.5, 4.5}. The inequality C is true,s+4<6.5.
Learn more about inequality here,
https://brainly.com/question/28823603
#SPJ2
83. Martina had $231. She spent 3/7 of her money on new
clothes. She spent 2/3 of the remainder on shoes and a purse.
How much money does Martina have left?
ng
−4+a5=8
What is the solution to the equation?
a = 44
a = 60
a = 20
a = 12
Answer:
a=12
Step-by-step explanation:
hope this helps!
The strip below is cut into 12equal bars. Shade 1/4 of this strip.
Answer:
What strip?
Step-by-step explanation:
True False or Rewrite.
Given a starting number, divide it by another number and multiply the result by the same number, so you finish with the number you started with
Answer:
The answer is true.
Determine the x-intercept points of the function h(x) = (x - 5)(x-6)(x + 4).
A. (-4,0), (5,0) and (6,0)
B. (4,0), (5,0) and (6,0)
C. (-6,0), (-5,0) and (-4,0)
D. (4,0), (-5,0) and (-6,0)
Answer:
A.
Step-by-step explanation:
The x-intercepts are the points where the x value is zero. In this case, to find the "zeros" of the function, set each factor to zero. x-5 -> x=5. x-6 -> x=6. x+4 -> x=-4.
At a car repair shop, the cost of a repair depends on the time the mechanic works. Which of the following shows this idea expressed in the fuction notation?
Also may the person who comes across this show me step by step how to do this type of questions so I can study this and master domain and range words problems?
________________________________
* A. time( number of cars)
* B. number of cars(time)
* C. time(cost)
* D. cost(time)
Answer:
c
Step-by-step explanation:
N/A
I need help please. Thanks!
Answer:
A
Step-by-step explanation:
We are given the function f and its derivative, given by:
[tex]f^\prime(x)=x^2-a^2=(x-a)(x+a)[/tex]
Remember that f(x) is decreasing when f'(x) < 0.
And f(x) is increasing when f'(x) > 0.
Firstly, determining our zeros for f'(x), we see that:
[tex]0=(x-a)(x+a)\Rightarrow x=a, -a[/tex]
Since a is a (non-zero) positive constant, -a is negative.
We can create the following number line:
<-----(-a)-----0-----(a)----->
Next, we will test values to the left of -a by using (-a - 1). So:
[tex]f^\prime(-a-1)=(-a-1-a)(-a-1+a)=(-2a-1)(-1)=2a+1[/tex]
Since a is a positive constant, (2a + 1) will be positive as well.
So, since f'(x) > 0 for x < -a, f(x) increases for all x < -a.
To test values between -a and a, we can use 0. Hence:
[tex]f^\prime(0)=(0-a)(0+a)=-a^2[/tex]
This will always be negative.
So, since f'(x) < 0 for -a < x < a, f(x) decreases for all -a < x < a.
Lasting, we can test all values greater than a by using (a + 1). So:
[tex]f^\prime(a+1)=(a+1-a)(a+1+a)=(1)(2a+1)=2a+1[/tex]
Again, since a > 0, (2a + 1) will always be positive.
So, since f'(x) > 0 for x > a, f(x) increases for all x > a.
The answer choices ask for the domain for which f(x) is decreasing.
f(x) is decreasing for -a < x < a since f'(x) < 0 for -a < x < a.
So, the correct answer is A.
A bookstore manager has 11 employees in his store. Inventory day is
approaching, and he wants all of his employees to work that day. On
Inventory day, all of the books in the store must be scanned
electronically so that they are in the system. The manager wants each
employee to scan an equal number of books. There are currently
5544 books in the store. Some of the employees call off sick on
inventory day.
Define a variable for the number of employees that called off
sick. Then, use this variable to write an expression for the
number of books each employee has to scan after some
employees called off sick.
The vertices of a triangle are A (0,0), B (3, 4) and C (-4,5). Find the length of each side.
Answer:
AB = 5 units
BC = 5[tex]\sqrt{2}[/tex] units
AC = [tex]\sqrt{41}[/tex] or about 6.4 units
Step-by-step explanation:
distance formula: square root of the sum of the difference of the y-values and the difference of the x-values
ex, dAB = √(4-0)² + (3-0)²
= √16 + 9
= √25
= 5
Which expression is equivalent to 2(a+3) when a= 3?
O 2(3)
5(3)
O 2(3)+3
2(3)+6
Answer:
2(a+3)= 0 2(3)+3
Step-by-step explanation:
Answer:
It's D :)
Step-by-step explanation:
I Did the unit test review on edge.
A truck can be rented from Company A for $100 a day plus $0.40 per mile. Company B charges $20dayplus $0.90 per mile to rent the same truck. How many miles must be driven in a day to make the rental cost for Company A less than the rental cost of Company B?
Answer:
160 miles
Step-by-step explanation:
Given data
Company A
Charges $100 a day plus $0.40 per mile
let the number of miles be x
and the total charges be y
y= 100+0.4x-----------1
Company B
charges $20dayplus $0.90 per mile
y= 20+0.9x---------------2
Equate 1 and 2
100+0.4x= 20+0.9x
collect like terms
100-20=0.9x-0.4x
80= 0.5x
divide both sides by 0.5
x=80/0.5
x=160 miles
Hence the number of miles is 160 miles
I will give the brainiest
The population of a town is 12,000, and it grows at a rate of 5% per year. What will the
population be in 4 years?
What was the population 4 years ago?
about 56,401; about 6,290
about 14,586; about 9,872
about 12,600:about 11,400
about 14.420; about 10.104
Answer:
After 4 years the population of the town will be 14,586.1
Step-by-step explanation:
12,000 x 5%= 600 ---------> 600 + 12,000 = 12,600 1 years = 12,600
12,000 x .05 = 600 -------------^
12,600 x 5% = 630 ----------> 630 + 12,600 = 13,230 2 years = 13,230
12,600 x .05 = 630 ---------------^
13,230 x 5% = 661.5 -----------> 661.5 + 13,230 = 13,891.5 3 years = 13,891.5
13,230 x .05 = 661.5 -----------------^
13,891.5 x 5% = 694.6 ----------> 694.6 + 13,891.5 = 14,586.1 4 years = 14,586.1
13,891.5 x .05 = 694.6 ---------------^
Answer:
About 56,401; about 6,290
Step-by-step explanation:
2. AB = 3x + 2
AD = x +39
Answer:
x=18.5
u gotta do 3x+2=x+49
combine the like terms and it becomes 2x=37 then divide by 2 u get 18.5
plug it in as x and check if it's right
Find the curved surface area of 4 pillars if the height of pillars is 7.5m and the radius of the base is 2.5m
Answer:
471.24 m²
Step-by-step explanation:
Formula for curved surface area is;
A = 2πrh
We are given dimensions of a single pillar as;
Height; h = 7.5 m
Radius of base; r = 2.5 m
Thus;
A = 2π × 2.5 × 7.5
A = 117.81 m²
Since there are 4 pillars.
Total curved surface area is;
A_t = 4 × 117.81
A_t = 471.24 m²
look at the photo I need answers for a and b plzzzzz
Answer:
*A*
jog > 2 km
pushups > 25
pullups > 10
*B*
yes you would because
2500m > 2km 2500 meters is greater than or equal to 2 kilometers? check
30 pushups > 25 pushups **** 30 push ups is more than or equal to 25
push ups? check
20 pullups > 10 pullups 20 pullups greater than or equal to 10 pullups? check.
Since you do more than what the requirment standards are you will pass your test.
Step-by-step explanation:
Diego is selling raffle tickets for $1.75 per ticket .Number of tickets sold 20 50 r Amount earned in dollars
Step-by-step explanation:
35.00$ r=5 hopefully that's what you were asking for I don't understand the 50 are amount earned in dollars amount earned in dollars would have $35
