Answers
Answer:
attached is the answer :)
Step-by-step explanation:
The length of the tangent AB is [tex]\sqrt{2a^{2}+2b^{2} }[/tex] if the radii of the largest circle is a and the radii of the smallest one is b.
What is the tangent?It is a line that touches a single point on the circle.
How to determine the length of that tangent?Firstly we have to draw a perpendicular from O to the radii of the smallest circle. In this way AOLB becomes a rectangle. We let the point where the bisector intersect the radii as L.
OA=a
Lb=a also
O'L=b-a
In triangle OLO' we use pythagoras to calculate the value of OL which wil then equal to AB so,
OL=[tex]\sqrt{(b-a)^{2}+(a+b)^{2} }[/tex]
=[tex]\sqrt{2a^{2}+2b^{2} }[/tex]
It will be the length of AB also.
Learn more about circles at https://brainly.com/question/24375372
#SPJ2
Related Questions
Juan got grades of 68 and 73 on his first two math tests. What grade must he get on the third test if all were weighted equally and he wants to raise his grade to a 75 average?
Answers
Answer: 84
Step-by-step explanation: Multiply 75 by 3. That is 225, and is the value the three numbers must add up to. 73+68=141. 225-141 is 84.
Help please! I’ll give brainliest!
Answers
Answer:the last one
Step-by-step explanation:
Dan's school is selling tickets to a play. On the first day of ticket sales the school sold 1 adult ticket and 6 student tickets for a total of $69. The school took in $150 on the second day by selling 7 adult tickets and student tickets How much is a student ticket?
Answers
Answer:
Let's define the variables:
A = price of one adult ticket.
S = price of one student ticket.
We know that:
"On the first day of ticket sales the school sold 1 adult ticket and 6 student tickets for a total of $69."
1*A + 6*S = $69
"The school took in $150 on the second day by selling 7 adult tickets and student tickets"
7*A + 7*S = $150
Then we have a system of equations:
A + 6*S = $69
7*A + 7*S = $150.
To solve this, we should start by isolating one variable in one of the equations, let's isolate A in the first equation:
A = $69 - 6*S
Now let's replace this in the other equation:
7*($69 - 6*S) + 7*S = $150
Now we can solve this for S.
$483 - 42*S + 7*S = $150
$483 - 35*S = $150
$483 - $150 = 35*S
$333 = 35*S
$333/35 = S
$9.51 = S
That we could round to $9.50
That is the price of one student ticket.
Help??
Anyone??
Need it in 3 min
7th grade math
Answers
explanation:
use proportions
A farmer finds that if she plants 50 trees per acre, each tree will yield 80 bushels of fruit. She estimates that for each additional tree planted per acre, the yield of each tree will decrease by 3 bushels. How many trees should she plant per acre to maximize her harvest?
Answers
Answer:
28
Step-by-step explanation:
From the given information:
Let x be the number of trees.
F(x) = (50 +x) (20 - 3x)
F(x) = 1000 - 150x + 20x - 3x²)
F(x) = -3x² - 130x + 1000
Differentiating F(x) with respect to x;
[tex]F'(x) = \dfrac{d}{dx}( -3x^2- 130x + 1000)[/tex]
[tex]F'(x) = ( -3(2x)- 130(1) +0)[/tex]
F'(x) = -6x -130
Now; we set F'(x) to be equal to zero to determine the critical value;
-6x - 130 = 0
x = - 130/6
Differentiating F''(x) with respect to x
[tex]F''(x) = \dfrac{d}{dx}( -6x- 130)[/tex]
[tex]F''(x) = ( -6(1))[/tex]
F''(x) = -6 (<0)
Thus; by the second derivative, the revenue function F(x) is maximum when x = -130/6
Therefore, the number of trees she should plant per acre to maximize her harvest is:
50 + x = 50 - 130/6
= 85/3
[tex]\simeq[/tex] 28
Therefore, the number of trees per acre to maximize the harvest is 28
A coconut tree has 12 coconuts on it if 25% of them fell to the ground how many fell
Answers
Answer:
3
Step-by-step explanation:
25% of 12 is 3
hope it helps
Answer:
3
Step-by-step explanation:
25% of anything is also 1/4 of the whole number. Its easier (atleast for me) to make percentages into fractions to make it easier to find the answer. if you were to make 12 a fraction it would look like 12/1 and when we subtract the 1/4 of coconuts it would be 3.
Factors of 9.52? Please help. Google won’t tell
Answers
Answer:
9.52 x 1
4.26 x 2
4 x 2.38
Hope that helps
The graph displays the distance a CO2 car traveled in a race.
Help!!!
Answers
Answer:
5 seconds per foot
Step-by-step explanation:
Answer:A
Step-by-step explanation:
Carter answered 5% of the questions
on a math test incorrectly, or 1
question. What fraction of the
questions did Carter answer correctly?
Answers
Answer:19/20
1-20=19
1÷20=0.05
0.05=5%
I hope this is good enough:
Solve the equation 3(x + 4.5) = 36.
If you get stuck, use the diagram. first one and with an explanation will get brainllest
Answers
Answer:
.75
Step-by-step explanation:
there is prof
If m 2 = 48° and m3 = 76°, determine m 1
Answers
Answer:
25 1/3? and 24?
Step-by-step explanation:
48+76 = 124
180-124=56
An ice cream factory makes 310 quarts of ice cream in 5 hours. How many quarts can they make per hour?
Answers
310/5
When a polynomial f(x) is divided by 2x-3,the quotient is x^2-x+2 and the remainder is -1. Find the f(x)
Answers
Answer:
f(x) = 2x³ - 5x² + 7x - 7
Step-by-step explanation:
In the division statement: m ÷ n = q + [tex]\frac{r}{n}[/tex]
m is the dividendn is the divisorq is the quotientr is the remainderm = q × n + rLet us use the fact above to solve the question
∵ f(x) is divided by (2x - 3), the quotient is x² - x + 2 and the remainder is -1
∴ f(x) is the dividend ⇒ m
∴ (2x - 3) is the divisor ⇒ n
∴ (x² - x + 2) is the quotient ⇒ q
∴ -1 is the remainder ⇒ r
→ Use the rule above to find f(x)
∵ f(x) = (x² - x + 2) × (2x - 3) + -1
∴ f(x) = (x² - x + 2)(2x - 3) - 1
→ Multiply the 2 brackets at first
∵ (x² - x + 2)(2x - 3) = x²(2x) + x²(-3) + -x(2x) + -x(-3) + 2(2x) + 2(-3)
∴ (x² - x + 2)(2x - 3) = 2x³ - 3x² - 2x² + 3x + 4x - 6
→ Add the like terms
∴ (x² - x + 2)(2x - 3) = 2x³ + (-3x² - 2x²) + (3x + 4x) - 6
∴ (x² - x + 2)(2x - 3) = 2x³ + (-5x²) + 7x - 6
∴ (x² - x + 2)(2x - 3) = 2x³ - 5x² + 7x - 6
→ Substitute it in f(x)
∴ f(x) = 2x³ - 5x² + 7x - 6 - 1
→ Add the like term
∵ f(x) = 2x³ - 5x² + 7x + (- 6 - 1)
∴ f(x) = 2x³ - 5x² + 7x + (-7)
∴ f(x) = 2x³ - 5x² + 7x - 7
if a sprinkler waters 1/14 of a lawn in 1/2 hour, how much time will it take to water the entire lawn
Answers
Answer:
7 hours
Step-by-step explanation:
1/14 * 14 = 1 whole lawn
1/2 hours = 30 minutes
14 * 30 = 420 minutes to water entire lawn
420 minutes = 7 hours
Mark wants to tile a rectangular kitchen floor. If the
floor measures 6 feet by 6 feet and each square tile
measures 6 inches by 6 inches, assuming no waste and no space between the tiles, how many tiles will Mark
need to tile the floor completely?
Answers
If p(x) = x2 – 1 and q (x) = 5 (x - 1), which expression is equivalent to (p – q)(x)?
Answers
Answer:
x2 – 1) – 5(x – 1)Step-by-step explanation:
If 1 inch = 2.54 centimeters, how many inches are in 328 centimeters? Round to the nearest hundredth.
Answers
Answer:
2.54 cm in 1 inch......how many inches in 51.78 cm...
51.78 / 2.54 = 20.4 inches <==
or this way...
2.54 / 1 = 51.78 / x....2.54 cm to 1 in = 51.78 cm to x inches
cross multiply
(2.54)(x) = 51.78)(1)
2.54x = 51.78
x = 51.78 / 2.54
x = 20.4 inches <==
Step-by-step explanation:
Answer:
129.134 rounded will be 129.1
Step-by-step explanation:
HOPE THIS HELPS :)
Dennis has made a purchase of $50,000
Answers
Really? On what? Man thats a lot of money.
Which of these equations represents the graph below?
y = 2x + 3
y = 3x - 2
y = 3x + 2
y=2x - 3
Answers
Explanation: y=mx+b
b is where the slope going over the y axis which is -3. mx is the slope which is rise over run, the line rises 2 and goes over 1 making it y=2x-3
Find the average rate of change of h(x) = - x ^ 2 + 3x + 3 from x = 2 to x = 6 .
Answers
Answer:
The average rate of change is
Δy ÷ Δx = -20 ÷ 4
Δy/Δx = -20/4
= -5
Step-by-step explanation:
Given the function
[tex]h\left(x\right)\:=\:-x^2\:+\:3x\:+\:3[/tex]
Putting x = 6
[tex]h\left(6\right)\:=\:-\left(6\right)^2\:+\:3\left(6\right)\:+\:3[/tex]
[tex]=-36+18+3[/tex]
[tex]=-15[/tex]
Putting x = 2
[tex]h\left(2\right)\:=\:-\left(2\right)^2\:+\:3\left(2\right)\:+\:3[/tex]
[tex]= -4 + 6 +3[/tex]
[tex]= 5[/tex]
The change in y from 2 to 6 is
Δy = -15 - 5
= -20
The interval from 2 to 6 has a width of
Δx = 6 - 2
= 4
Therefore, the average rate of change is
Δy ÷ Δx = -20 ÷ 4
Δy/Δx = -20/4
= -5
7 4/10 greater than 7.421
Answers
Answer:
False
Step-by-step explanation:
7 4/10= 7.4
7.4<7.421
simplify
y = -1x - 1
pls hurryyyyyyy
Answers
this is the answer because -1x can just be written as -x
PLEASE HELP ME! THANK YOU !!
Answers
Doamin of the function
inf
kx^2+k=8x-2xk
Find the range of values of k- there are two distinct roots.
I’m pretty sure you need to use the discriminate but i’m stuck so pls could somebody show me step by step
Answers
Answer:
i cant understans the quedtoion its worng bro
Simplify 3r(4r-5s)+2r(-6r-9s)
Answers
Answer:
-33rs
Step-by-step explanation:
First, distribute in the first part of the equation.
3r(4r-5s)=12r-15rs
Now, distribute in the first part of the equation.
2r(-6r-9s)=-12r-18rs
Combine this together.
12r-15sr-12r-18rs
Combine like terms. (12r and -12r will cancel out to 0.)
-33rs
Hope this helps! Have a wonderful day ^^
Answer:
[tex]\boxed {-33rs}[/tex]
Step-by-step explanation:
Simplify the expression:
[tex]3r(4r - 5s) + 2r(-6r - 9s)[/tex]
-Use Distributive Property:
[tex]3r(4r - 5s) + 2r(-6r - 9s)[/tex]
[tex]12r^{2} - 15rs - 12r^{2} - 18rs[/tex]
-Combine both [tex]12r^{2}[/tex] and [tex]-12r^{2}[/tex]:
[tex]12r^{2} - 15rs - 12r^{2} - 18rs[/tex]
[tex]-15rs - 18rs[/tex]
-Then, combine both [tex]15rs[/tex] and [tex]18rs[/tex]:
[tex]-15rs - 18rs[/tex]
[tex]\boxed {-33rs}[/tex] (final answer)
X intercept for -3x+10
Answers
Answer:
(10/3, 0)
Step-by-step explanation:
how this helps
A jogger is running home. His distance from home, as a function of time, is modeled by y=-7x +8.
Which statement best describes the function?
A. The function is nonlinear.
B. Not enough information is given.
C. The function is linear at some points and nonlinear at other points.
D. The function is linear.
Answers
Answer: the function is a liner
Step-by-step explanation: trust
Find the derivative of the function.
3
f(x) = 4x + 20x4
f'(x)=
Answers
Answer:
f'(x) = 4 + 80x³
General Formulas and Concepts:
Calculus
The definition of a derivative is the slope of the tangent line.
We can take the derivative/distribute it over addition and subtraction.
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Step-by-step explanation:
Step 1: Define function
f(x) = 4x + 20x⁴
Step 2: Find 1st derivative
Basic Power Rule (1st term): f'(x) = 4 · 1x¹⁻¹ + 20x⁴Basic Power Rule (2nd term): f'(x) = 4 · 1x¹⁻¹ + 20 · 4x⁴⁻¹Simplify: f'(x) = 4 + 80x³you finance a $12,000 condo renovation completely on credit and you will just pay the minimum payment each month for the next few months. The APR is 18.99% and the minimum payment each month is 5% of the balance. Determine the finance charge, carry-over balance, and minimum payment required for each of the next two months, and the starting balance for month 2 in the table below.
Answers
Answer:
For Month 1, we have:
Carry-over balance = $12,000.00
Finance charge = $189.90
New balance = $12,189.90
Minimum payment = $609.50
For Month 2, we have:
Carry-over balance = $11,580.41
Finance charge = $183.26
New balance = $11,763.66
Minimum payment $588.18
Step-by-step explanation:
Note: This question is not complete. The complete question is therefore provided before answering the question. See the attached pdf file for the complete question.
The explanation to the answer is now given as follows:
Note: See the attached excel file for calculations of the finance charge, carry-over balance, and minimum payment required for each of the next two months.
In the attached excel file, the following formulas are used:
r = Monthly percentage rate = APR / 12 = 18.99% / 12 = 1.5825%
Carry-over balance of the current month = New balance of the previous month - Minimum payment of the previous month
please draw a graph thank you!!!
Answers
Answer:
x is greater than or equal to 3. A closed circle dot on 3, with the arrow and closed dot going left from 3, towards the negative region.
