Answers
Answer:
area of circle F = 9 pi
Step-by-step explanation:
An interesting problem, combining geometry and algebra.
It has not been indicated, but it will be assumed that GH is a tangent to the circle F, hence the tangent-secant theorem from point H applies.
Produce HF to point E on the circumference such that EJ forms a diameter of circle F.
By the tangent-secant theorem,
HG^2 = HJ*HE
Substitute given values,
(x+2)^2 = 2*(2*(2x-1)+2)
Expand algebraically
x^2+4x+4 = 2(4x-2+2)
x^2+4x+4 = 8x
x^2-4x+4 = 0
Factor
(x-2)^2 = 0
=>
x=2
Substitute x=2 into radius FG = 2(x)-1 = 3
Therefore area of circle F
= pi r^2
= pi (3)^2
= 9 pi
Related Questions
Share 180 in the ratio 3:2:1 *
Answers
Answer:
Ratio = 3:2:1
Let the Values be 3x:2x:x
3x+2x+x=180
=> 6x=180
=> x =180/6
=> x = 30
3×30=90
2×30=60
1×30=30
Max completed 12 questions on the exam. This is 40% of the questions. 1. Write an equation representing this situation. 2. How many questions are on the exam? 3. Explain how you got your answer
Answers
Answer:
Step-by-step explanation:
How many questions are on the exam? Represent this by n.
Then 40% of n comes out to 12 questions, or more symbolically,
0.40n = 12, after which we get n = 12/0.40 = 30
Answers:
(1) 0.40n = 12 is the desired equation.
(2) n = 30 is the number of questions on the exam.
(3) See above for explanations.
Emmanuel was charged $32 for a 14 2/9 km taxi ride. what was the cost per kilometer
Answers
Answer:
$2.25 Per Kilometer
Step-by-step explanation:
Divide the amount of Money that Emmanual Was charged with, And Divide the Amount of Kilometers of the taxi ride.
32 Divided by 14 2/9= $2.25 per Kilometer
A cylindrical water tank with radius 2 feet and length 6 feet is filled with water to a depth of 3 feet when in a horizontal position. If the tank is turned upright, what is the depth of the water? Give your answer in terms of n.
Answers
Answer:
That measure to congruent 8 and side angle is 3.9
The correct answer is: m<8 and angle 7.9
pls help i need to know what x/-4 + 6 < 11 is?!?!!?!?!
Answers
Answer:
x ∈ ( - ∞ , 20 )
Step-by-step explanation:
Given :
x / 4 + 6 < 11
Adding - 11 both we get:
= > x / 4 + 6 - 11 < 11 - 11
= > x / 4 - 5 < 0
Multiply by 4 both we get:
= > x - 20 < 0
Adding 20 both side we get:
= > x - 20 + 20 < 20
= > x < 20
Solution set x ∈ ( - ∞ , 20 )
Hence we get required answer!
9514 1404 393
Answer:
x > -20
Step-by-step explanation:
This is a "2-step" inequality with a negative coefficient.
x/-4 +6 < 11 . . . . . given
x/-4 < 5 . . . . . . . . subtract 6 from both sides
x > -20 . . . . . . . . .multiply both sides by -4
Because the multiplier is negative, the sense of the comparison must be reversed.
_____
Check
x = -24 should not be in the solution set: -24/-4 +6 < 11 ⇒ 12 < 11 . . . False
x = -16 should be in the solution set: -16/-4 +6 < 11 ⇒ 10 < 11 . . . True
Pls answer quick I will name brainliets
Answers
Answer:
I'm sorry I don't know the answer to it
Pryia and 3 friends go out to dinner and split the cost equally. The meal costs $98, tax is 9% and they leave a 20% tip based the cost of the meal. How much money does Pryia need?
Answers
Answer:
$42.14
Step-by-step explanation:
Given data
Cost of meal= $98
tax= 9%
Tip= 20%
Let us find the amount of the tax and the tip
Tax
=9/100*98
=0.09*98
=$8.82
Tip
=20/100*98
=0.2*98
=$19.6
Hence the total amount paid is
=98+8.82+19.6
=126.42
The amount paid by Pryia
=126.42/3
=$42.14
The speed of light is about 1.1 x 10^12 meters per hour. What is the number in meters per minute?
Answers
Answer:
Mansah obtained 150 mark out of 240 mark in an English test .what was her percentage score
I really need help on this problem I'm struggling please show me how to do it show WORK, please
14.4 = -2.4b
Answers
Answer:
b = -6
Step-by-step explanation:
14.4 = -2.4b (swap the sides of the equation)
-2.4b = 14.4 (divide both sides of the equation by -2.4)
b = -6
The amusement park is open for 11 hours if approximately 200 people can ride the swing in one hour what is the maximum amount of people that can ride the swing in one day
Answers
Answer:
2,200
Step-by-step explanation:
Number of hours amusement park opens = 11 hours
Number of people who ride the swing in one hour = approximately 200
what is the maximum amount of people that can ride the swing in one day?
Number of people that can ride the swing in one day = Number of hours amusement park opens × Number of people who ride the swing in one hour
= 11 × 200
= 2,200 approximately
Number of people that can ride the swing in one day = 2,200
Find the circumference and area of the circle. Use 3.14 for π. Round to the nearest hundredth if necessary.
13m.
Answers
Answer:
81.64
Step-by-step explanation:
Answer:
Step-by-step explanation:
Please be explicit in labeling the radius. I will assume y ou meant r = 13 m.
Circumference formula: C = 2πr; area formula: A = πr²
Here, with r = 13 m, C = 2π(13 m) = 26π m = C = 81.68 m
and
with r = 13 m, A = π(13 m)^2 = 169π = A = 530.93 m^2
What is the growth factor?
y=4(2)^x
Answers
Answer:
2243x32
Step-by-step explanation:
23r4ft3gweftb3q54rvfwgeht rtg,5tjqbygucmrekv wjhqvrxerjuwqrgf4 jfy2qteg cwrhgrwe;iujihyuwgreob0uyergvbfyuwehvgboyu8erhgbhyurehgbyew8uhjrghyhbe3rjuhghbuyrehjgbyuhrejgbyuerjhghreyuhjgfhrueyhjfhgreuyhfgyurehfueirhfurehruyehgvbuyhgfhbhurjehguyhjnvdbkjhgifuejdhfguyfdhuyefhjhbgfuyvfjhgbfyugvhfnghbuhyfjvgryu78uyregyt587yuygh8ruiggh587eru5 y587urifibyutg89fhju34hr583u4 i43498iuty3894 iutu3489tu3389uyt38u
Find the equation of Y+9=13
Answers
Answer:
Y = 4
Step-by-step explanation:
Y = 13 - 9Y = 4that's alla cylindrical oil drum has a diameter of 2 feet and a height of 3 feet what is the volume of the oil drum
Answers
Answer:
9.42 Ft³
Step-by-step explanation:
I did the work.
what is the area of this polygon on a coordinate plane
Answers
Answer:
16 sq units
Step-by-step explanation:
the area of the polygon =
(4×3)+(½×4×2)
= 12+4
= 16 sq units
This line plot shows the number of fish in different fish tanks.
How many tanks hold more than 3 fish?
Answers
Solve equation by using the quadratic formula.
2x2 - 5x = 7
Answers
Let's solve your equation step-by-step.
2x2−5x=7
Step 1: Subtract 7 from both sides.
2x2−5x−7=7−7
2x2−5x−7=0
2x2+−5x+−7=0
Step 2: Use quadratic formula with a=2, b=-5, c=-7.
x=−(−5)±√(−5)2−4(2)(−7)/2(2)
x=5±√81/4
Answer:
x= 7/ 2
or x=−1
the same thing
Please help! will give brainliesttttt!!!!
Answers
Answer:
416
Step-by-step explanation:
A car wheel has a diameter of 27.1". How far will the car go when the wheels rotate 100 times?
Answers
Answer:
135.5"
Step-by-step explanation:
Answer:
8509.4
Step-by-step explanation:
The diameter has already been displayed so what I could simply do is solve the equation simply by using the formula for circumference using diameter (C=3.14 x 27.1) and that will get me 85.094 but thats how far it will get if it rotates 1 times so we must multiply it by 100 and move the decimal point 2 digits to the right and the final answer is 8509.4. 8509.4 (no mathematical unit) is how far the car can go when the wheels have a diameter of 27.1 and rotates 100 times.-2(+3)+4x-4=-14
solve for x pleaseeee
Answers
Answer:
-2(3) + 4x -4 =-14
-6 + 4x -4=-14
4x = -14 + 6 + 4
4x = -4
x=-1
To verify this...Input -1 into the original equation... You'd get -14
Can someone help me with this question pls?
Answers
Answer:
[tex]x^{2} - 25[/tex]
Step-by-step explanation:
Area is side x side, so naturally it would be: (x+5)(x - 5)... Though to simplify, those parenthesis can be FOILed. (Reminder: "FOIL" means First - Outer - Inner - Last)
[tex]x^{2} - 5x + 5 x - 25[/tex]
The 5x cancels out because 5x - 5x = 0
So that leaves us with:
[tex]x^{2} - 25[/tex]
=========================================================
Explanation:
Let's say we replace the "x+5" with some other letter. Let's use L for length.
We'll keep the width x-5 the same.
area = length*width
area = L*(x-5)
area = L*x + L*(-5)
area = xL - 5L
At this point, we would then plug in L = x+5 and distribute like so:
area = x( L ) - 5( L )
area = x( x+5 ) - 5( x+5 )
area = x^2 + 5x - 5x - 25
area = x^2 - 25
Side note: (x+5)(x-5) = x^2 - 25 is an application of the difference of squares rule.
Paul biked 55 miles in 10 hours . what is the unit rate of miles per hour
Answers
Answer:
5.5 miles per hour
Step-by-step explanation:
Since he travels a total of 55 miles in 10 hours, you need to divide.
55/10 = 5.5
total hours/total miles = miles per hour
Plz help! 20 points, correct answer will be marked brainliest :)
Miguel made 6 bracelets each day to sell at a craft fair. The function f gives the total number of bracelets Miguel made in x days. Which of the following could define f ?
Answers
Answer:
D) f(x) = 6x
Step-by-step explanation:
Is a triangle with side lengths of 10, 11, 14 a right triangle?
Answers
Answer:
no
Step-by-step explanation:
A right triangle has a formula a^2+b^2=c^2 with c being the longest side (hyponotuse). 10 squared is 100, 11 squared is 121, so add those and get 221. 14 squared is only 196 which is not equal to 221 so it is not a right triangle
Answer:
Yes
Step-by-step explanation:
Evaluate the polynomial function when H=3
f(h)=4h^3-3h^2+5h-16
Answers
Answer:
80
Step-by-step explanation:
f(3)=4(3)^3-3(3)^2+5(3)-16
f(3)=4(3*3*3)-3(3*3)+15-16
f(3)=4(27)-3(9)+15-16
f(3)=108-27+15-16
f(3)=81+15-16
f(3)=96-16
f(3)=80
hello please help i’ll give brainliest
Answers
Answer:
VelocityStep-by-step explanation:
Acceleration is defined as the rate of change of velocity.
Velocity is a vector, which means it contains a magnitude (a numerical value) and a direction.
So the velocity can be changed either by changing the speed or by changing the direction of motion (or both).
Answer:
velocity
Step-by-step explanation:
The definition of acceleration is: Acceleration is a vector quantity that is defined as the rate at which an object changes its velocity. An object is accelerating if it is changing its velocity.
Someone solve this for me please
Answers
Answer:
answer is 9.5 I hope you understand what I wrote
1.) Oranges are on sale this week for 10% off. Oranges normally costs $1.80
per pound. If Aiden wants to buy 5.5 lbs of oranges this week, how much
will he pay?
Answers
Answer: $8.91
Step-by-step explanation:
What is the solution to the following equation?
7x−5=2x+5
Answers
Answer:
x = 2
Step-by-step explanation:
7x−5=2x+5
step 1 add 5 to each side
-5 + 5 = cancels out
5 + 5 = 10
we now have 7x = 2x + 10
step 2 subtract 2x from each side
2x - 2x cancels out
7x - 2x = 5x
we now have 10 = 5x
step 3 divide each side by 5
5x / 5 = x
10 / 5 = 2
we' re left with x = 2
Please help and please no links
Answers
120.
Trust me. It is correct using a formula.