Answer:
The bike will travel approximately 1,272 inches or 106 feet.
Step-by-step explanation:
The diameter of a circle (wheel) can be used to find the circumference, which is the total perimeter around the wheel. The formula used to find circumference is: C = dπ, where 'd' is the diameter and π = 3.14. In this case C = 27 x 3.14 ≈ 84.78 inches. Since this measurement represents the perimeter of wheel, we would need to multiply this number by 15 in order to find the total distance after 15 complete rotations of the wheel: 84.78 x 15 ≈ 1,272 inches. 1,272 inches is a large measurement, so we can easily convert this to feet by dividing by the number of inches per foot, or 12: 1272/12 = 106 feet.
Hope this answer helps you :)
Have a great day
Mark brainliest
Calculate 6+9i/-1+4i
Multiply the numerator and denominator by the conjugate of the denominator:
[tex]\dfrac{6+9i}{-1+4i} \times \dfrac{-1-4i}{-1-4i} = \dfrac{(6+9i)(-1-4i)}{(-1)^2-(4i)^2}[/tex]
Simplify:
[tex]\dfrac{(6+9i)(-1-4i)}{(-1)^2-(4i)^2} = \dfrac{-6-9i-24i-36i^2}{1-16i^2} = \dfrac{-6-33i-36i^2}{1-16i^2} = \dfrac{-6-33i+36}{1+16} = \boxed{\dfrac{30-33i}{17}}[/tex]
please help fast!! geometry
Answer:
512 inches ^2
Step-by-step explanation:
The surface area is found by
SA = 2(lw+wh+hl) where l is the length h is the height and w is the width
SA = 2( 8*8 + 8*12 + 12 * 8)
= 2(64+ 96+96)
= 2 ( 256)
= 512 inches ^2
Answer:
512 square inches
Step-by-step explanation:
8 x 8 = 64
12 x 8 = 96
64 x 2 = 128
96 x 4 = 384
128 + 384 = 512 in^2
how do you expand brackets
Answer:
multiply each term in the bracket by the expression outside the bracket
:)
Step-by-step explanation:
Hamid had gained weight he is now 88k which is 10% more then he uses to be what was his original weight
Answer:
80k
Step-by-step explanation:
let the previous weight be x
88=x + 10%of x
88=x+(10/100)of x
8800=110x
8800/110=x
x=80k
Answer: Original weight = 80 kg
Step-by-step explanation:
Given:
Current weight = 88 Kg
Gain weight rate = 10%
Solve:
Original weight = Current weight / Gain rate
Original weight = (88) / (1 + 10%)
Original weight = 80 Kg
Hope this helps!! :)
Please let me know if you have any questions
What is his weekly allowance if he ended with $15?
SOMEBODY GET IT RIGHT FOR ME PLS I NEED HELP ITS PYTHAGOREAN THEOREM
Answer:
a^2+b^2=c^2
a^2=c^2-b^2
a^2=10^2-5^2
a^2=100-25
a^2=75
a=7.7cm
Step-by-step explanation:
I need help to find Y =
Answer:
3
Step-by-step explanation:
What are the first 5 terms?
Answer:
please can you specify which topic exactly is it on Arithmetric or Geometric Progression or on another topic
please kindly specify and send the question back
Thank you
Step-by-step explanation:
Answer:
5, 12, 19, 26, 33
Step-by-step explanation:
Using the recursive rule and a₁ = 5 , then
a₂ = a₁ + 7 = 5 + 7 = 12
a₃ = a₂ + 7 = 12 + 7 = 19
a₄ = a₃ + 7 = 19 + 7 = 26
a₅ = a₄ + 7 = 26 + 7 = 33
The first 5 terms are 5, 12, 19, 26, 33
For which of following equations is (-2,-3) not a solution (Will give brainlest plus 33 points)
Answer:
[tex] - 3x = 4y - 6[/tex]
[tex] - 3( - 2) = 4( - 3) - 6[/tex]
[tex]6 = - 12 - 6[/tex]
[tex]6 = - 18[/tex]
Find the length of the side labeled x. Round intermediate values to the nearest tenth. Use the rounded values to calculate the next value. Round your final answer to the nearest tenth.
A. 11.7
B. 11.9
C. 11.4
D. 14.4
Answer:
Option A, 11.7
Step-by-step explanation:
To find height,
tan 68 = 26/h
h = 26/tan(68)
to find x
tan(42) = h/x
x = h/tan(42)
x = 11.7 (rounded to the nearest tenth)
Answered by GAUTHMATH
Line segment QR is dilated to create line segment Q'R' using the dilation rule DT,1.5. Point T is the center of dilation. Line segment Q R is dilated to create line segment Q prime R prime. The length of R T is 6 and the length of R prime R is y. What is y, the distance between points R and R'?
Answer:
[tex]y= 3[/tex]
Step-by-step explanation:
Given
[tex]RT = 6[/tex]
[tex]k = 1.5[/tex] --- dilation ratio
See attachment
Required
Determine length, y
First, we calculate length R'T.
Since point T is the center of dilation, then:
[tex]R'T = k * RT[/tex]
Substitute known values
[tex]R'T = 1.5 * 6[/tex]
[tex]R'T = 9[/tex]
y is between R'T and RT;
So:
[tex]y = R'T - RT\\[/tex]
[tex]y = 9 -6[/tex]
[tex]y= 3[/tex]
Answer:
either 4 or 9
Step-by-step explanation:
Please help me solve this guys Thankyou so much
Step-by-step explanation:
first blank: 0 seconds
second blank: 9.8 seconds
third blank: 5 seconds
fourth blank: 120 meters
2). 2, x, 14 are in Arithmetic progression, then the value of x is :
A. 28
B. 16
C. 7
D. 8
G is related to one of its parent function g(x)=2√x. a) find the f function b) using the function notation write g interns of f
Answer:
Here we have:
g(x) = 2*√x
And we know that it is related to a parent function, where the parent functions are:
Linear Function: f(x)=x.
Quadratic Function: ݂f(x)=x^2.
Square Root function: f(x)= √x.
Absolute Value function: f(x)=|x|
Cubic function: f(x)=x^3.
Cube Root function: f(x) = ∛x
Logarithmic function: f(x)=log x or f(x)=In x.
Exponential function: f(x) = a^x.
a) Because g(x) = 2*√x
We can see that it is related to the square root function, then the parent function is:
f(x) = √x
b) now we want to write g(x) in terms of f(x)
we have:
g(x) = 2*√x
we can replace √x by f(x)
then we get:
g(x) = 2*f(x)
Now we have g(x) in terms of f(x)
23. (04.05)
Which statement best describes the effect of replacing the function f(x) = 2 ^x-2 with the function g(x) = 2 ^x+3
The graph shifts 1 units left.
The graph shifts 5 units left.
The graph shifts 1 unit right.
The graph shifts 3 units right.
Answer:
The graph shifts 5 units left
Step-by-step explanation:
The given functions are;
f(x) = [tex]2^{x - 2}[/tex], g(x) = [tex]2^{x + 3}[/tex]
Therefore, we have;
When x = 2, f(2) = [tex]2^{2 - 2}[/tex] = 1 and g(2) = [tex]2^{2 + 3}[/tex] = 32
When x = 3, f(3) = [tex]2^{3 - 2}[/tex] = 2 and g(3) = [tex]2^{3 + 3}[/tex] = 64
When x = 6, f(6) = [tex]2^{6 - 2}[/tex] = 16 and g(6) = [tex]2^{6 + 3}[/tex] = 512
When x = 7, f(7) = [tex]2^{7 - 2}[/tex] = 32 and g(7) = [tex]2^{7 + 3}[/tex] = 1024
When x = 8, f(8) = [tex]2^{8 - 2}[/tex] = 64 and g(8) = [tex]2^{8 + 3}[/tex] = 2,048
Therefore, the y-value of f(x) obtained at x = 8, is obtained by g(x) at x = 3, and the graph is shifts(ed) 5 units left.
I am struggling with this question anyone help
9514 1404 393
Answer:
b, c
Step-by-step explanation:
The factor (x+7) is common to both numerator and denominator. The function can be simplified by cancelling that factor.
y = (x -3)/(x -9) . . . . . . x ≠ -7
The restriction x ≠ -7 is put on the simplified function because the original function is undefined there. The denominator factor x+7 makes the denominator 0 at that point.
The point at x=-7 is called "hole" in the graph. A properly drawn graph will show the function is undefined there (has a hole).
__
The denominator of the simplified function is zero when x=9. This means there is a vertical asymptote at x=9.
__
The ratio of the highest-degree terms of the numerator and denominator will tell you the end behavior of the function — its value when x is large. Here, that ratio is y = x/x = 1. This represents a horizontal asymptote at y=1. The function approaches this line as x gets large, but never reaches it.
The appropriate descriptors are ...
Asymptote: x=9, y=1Hole: x=-7PLEASE HELP ASAP!!! I dont understand
Answer:
15
Step-by-step explanation:
(3x-1+2x+1)(3) -> 3 is the plug-in for x
3x-1+2x+1=5x
5*3=15
15
Answer:
15
Step-by-step explanation:
f(x) = 3x -1
g(x) = 2x+1
(f+g)(3)
find g(3) = 2(3)+1 = 6+1 = 7
Then find f(3) = 3(3) -1 = 8
f(3) + g(3) = 7+8 = 15
Determine the measure of the interior angle at vertex E.
A. 135
B. 45
C. 225
D. 75
Answer:
135
Step-by-step explanation:
The sum of the interior angles of a pentagon is 540
3x+3x+2x+2x+2x = 540
12x = 540
Divide by 12
12x/12 = 540/12
x = 45
E = 3x = 3*45 = 135
Answer:
135
Step-by-step explanation:
1. Use the cosine and sine functions to express the exact coordinates of P in terms of angle θ.
2. Mark a point Q on the unit circle where tangent has a value of 0.
Answer:
For a point defined bt a radius R, and an angle θ measured from the positive x-axis (like the one in the image)
The transformation to rectangular coordinates is written as:
x = R*cos(θ)
y = R*sin(θ)
Here we are in the unit circle, so we have a radius equal to 1, so R = 1.
Then the exact coordinates of the point are:
(cos(θ), sin(θ))
2) We want to mark a point Q in the unit circle sch that the tangent has a value of 0.
Remember that:
tan(x) = sin(x)/cos(x)
So if sin(x) = 0, then:
tan(x) = sin(x)/cos(x) = 0/cos(x) = 0
So tan(x) is 0 in the points such that the sine function is zero.
These values are:
sin(0°) = 0
sin(180°) = 0
Then the two possible points where the tangent is zero are the ones drawn in the image below.
If the circumference of a right cylinder is tripled, the volume will increase by a factor of _____.
Answer:the answer is 9
Step-by-step explanation:
Which statement is true? O A. The number 23 is prime, but 36 is composite. B. The number 33 is prime, but 42 is composite. OC. The number 21 is prime, but 25 is composite. D. The number 27 is prime, but 39 is composite.
Answer: A. The number 23 is prime, but 36 is composite.
=====================================================
Explanation:
Let's go through the possible answer choices
A) This is true because 23 only has the factors 1 and 23. So that's why 23 is prime. We can say 36 is composite since 2 is a factor, ie 36 = 2*18.B) This is false because 33 is not prime. Note how 33 = 3*11, showing that 3 is a factor of 33.C) Similar to B, the statement "21 is prime" is false. Note how 21 = 3*7.D) Like the other false statements, 27 is not prime because 27 = 3*9.23 is indeed prime, and 36 is indeed composite.
33 is composite, and 42 is indeed composite.
21 is composite, and 25 is composite as well
27 is not prime, and 39 is composite.
Primes have only 2 factors: 1 and themselves.
And 33, 21 and 27 definitely have more than 2 factors. Hope this helps!
~Just a joyful teen
[tex]GraceRosalia[/tex]
what is the height of the water prism
Answer:
32 because I Don't know please vote my answer please
Answer:
12 (10) cm 937 637 = hafe 2929888389292822
1.2 m
1.2 m
Susie is 1.13 metres tall
She has a play tent in the shape of a triangular prism.
The diagram shows the front view of the tent.
The front of the tent has been drawn to scale below.
a) Complete the scale drawing.
1.5m
Not drawn accurately
b) Can Susie stand up in the
middle of the tent?
1.5m
Scale: 1 cm represents 60 cm
Split the triangle into 2 right in the middle so you have 2 identical right triangles. The base on one would be half the base of the triangle shown so, the base would be: 1.5/2 = 0.75 m.
Now using the Pythagorean theorem you can find the height:
Height - sqrt(1.2^2 - 0.75^2)
Height = sqrt(1.44 - 0.5625)
Height = sqrt(0.8775)
Height = 0.93675 meters
The height of the tent is smaller than the height of Suzie so she cannot stand up.
Mrs Dlamini bought a 10kg bag of rice. She cooks 500g of rice per day. How many days will the bag of rice last her family
Answer:
20 days
Step-by-step explanation:
10kg= 10,000g
10,000g/500g= 20 days
Answer:
20 days
Step-by-step explanation:
1 kg=1000 grams
10 kg=10000 grams
10000÷500
=20 days
Given the radius and area of the circle, calculate the angle at the centre of the circle.
Radius : 21 m
Area of the circle : 27.72 m^2
Answer:
[tex] \theta = 7 .2\degree [/tex]
Step-by-step explanation:
[tex]area = \frac{\theta}{360} \times \pi {r}^{2} \\ 27.72 = \frac{\theta}{360} \times \pi \times {21}^{2} \\ 27.72 = \frac{\theta}{360} \times \pi \times 441 \\ \frac{27.72 \times 360}{441\pi} = \theta \\ \frac{9979.2}{1385.4} = \theta \\ \\ 7 .2\degree = \theta[/tex]
_(9)=(2(1-2(2)^(9)))/(1-2(2))
PLEASE HELP ME OUT.
Answer:
the answer = um ok
Step-by-step explanation:
Select the expression that represents the following statement: find the sum of 6 and 14 and divide by 4.
a (6 + 14) ÷ 4
b 14 ÷ 4 + 6
c 4 x 4 – 6
d 14 x 6 ÷ 4
Answer:
A
Step-by-step explanation:
Please hurry I will mark you brainliest
Step-by-step explanation:
I think you first have to calculate a°,this can be done by first finding c°
c°=180-125
=55°
opposite angles in a quadrilateral add up to 180
therefore a°=180-55
=125
therefore angle d
180-125
=55
I hope this helps
Can I please get help with these 2 questions about polygons
Answer:
a)139°
Step-by-step explanation:
two co interior angles make one opposite exterior angle
49+90=139°
Factor completely 3x - 15.
O 3(x - 5)
O 3(x + 5)
O 3x(-15)
O Prime
Answer: First Choice. 3 ( x - 5 )
Step-by-step explanation:
Concept:
When we are doing factoring, we should try to find any Greatest Common Factor (GCF) of all constants in the given expression.
The Greatest Common factor is the largest value of the values you have, that multiplied by the whole number is able to "step onto both".
Solve:
Factors of 3: 1, 3
Factors of 15: 1, 3, 5, 15
As we can see from the list above, 3 appears in both lists of factors and is the greatest for 3. Therefore, [3] is the GCF of 3 and 15
Divide 3 for both numbers to find the remaining.
3x / 3 - 15 / 3x - 5Check whether or not the remaining can be divisible
Ans: NOPut the factored out 3 and remaining together
3 ( x - 5)Hope this helps!! :)
Please let me know if you have any questions
