Answer:
See below.
Step-by-step explanation:
The definition of radian is:
A radian is a unit of angle measurement such that a central angle of a circle measuring 1 radian subtends and arc of the circle whose length equals the radius if the circle.
In this case, the radius is 1 foot. Point P travels along the arc formed by an angle. When the angle is 1 radian, the arc length equals the radius of the circle, 1 foot. It is simply following the definition of radian.
Point P will travel a 2π distance in a complete revolution i.e. the distance point P travels is the same as the angle of revolution.
What is 1 radian?One radian is defined as the angle subtended from the centre of a circle which intercepts an arc equal in length to the radius of the circle.
Circumference of the circle = 2π(1) =2π feet.
This means point P will travel a 2π distance in a complete revolution.
A complete revolution = 360° or 2π
Hence, point P will travel a 2π distance in a complete revolution i.e. the distance point P travels is the same as the angle of revolution.
To get more about circles visit:
https://brainly.com/question/24375372
50 POINTS!!!!
A rectangular garden has length twice as great as its width. A second rectangular garden has the same length as the first garden and width that is 4 meters greater than the width of the first garden. The second garden has area of 120 square meters. What is the length of the two gardens? Enter your answer in the box. m=
Answer:
24 meters
Step-by-step explanation:
First we need to show width and length as variables.
let width of garden 1 = W
let length of garden 1 = L
let width of garden 2 = w
let length of garden 2 = l
Now make equations that are explained in the question
L = 2W
l = L
w = W + 4
l × w = 120
Now with that we can find l and w.
Now by looking at the factors of 120, find the factors that work throughout the question.
That is 12 and 10.
l=12
w=10
This means that...
L=12
W=6
Now the answer is 24 meters
Answer:
12m
Step-by-step explanation:
just took the test
Find the value of x in the isosceles triangle shown below
Answer:
The answer is 12
Hope it helps
Answer:
x = 12
Step-by-step explanation:
Since the 2 legs and base angles are congruent the triangle is isosceles.
The line from the vertex to the base is a perpendicular bisector dividing the triangle into 2 right triangles.
Using Pythagoras' identity in either of the 2 right triangles with legs 3 and [tex]\frac{1}{2}[/tex] x , hypotenuse [tex]\sqrt{45}[/tex] , then
([tex]\frac{1}{2}[/tex] x )² + 3² = ([tex]\sqrt{45}[/tex] )²
[tex]\frac{1}{4}[/tex] x² + 9 = 45 ( subtract 9 from both sides ²)
[tex]\frac{1}{4}[/tex] x² = 36 ( multiply both sides by 4 to clear the fraction )
x² = 144 ( take the square root of both sides )
x = [tex]\sqrt{144}[/tex] = 12
Can someone pleaseeee help and if you’re correct i’ll give brainliest
Answer:
The answers are A and D
Step-by-step explanation:
2/6 simplified is 1/3 and none of the other choices are equal to 1/3, so the answers are A and D.
Dawn is going scuba diving. Which situation would be modeled by a positive number?
on the dive boat deck
at the water line
underwater near a reef
on the ocean floor
Answer:
Step-by-step explanation:
on the dive boat deck :)
find the volume of the prism
Answer: 4,218,750
Step by explanation:
Carlos is NOT correct because
Answer:
He is wrong because for the last part of foil he multiplies 3 times 3 and got 6 instead of 9.
Find the median of the data in the box plot below. Cookies A horizontal boxplot titled Number of cookies eaten by each contestant, is plotted along a horizontal axis marked from 2 to 30, in increments of 1. A left whisker extends from 5 to 6. The box extends from 6 to 22 and is divided into 2 parts by a vertical line segment at 8. The right whisker extends from 22 to 25. All values estimated.
Diagrammatic representation of the summarized box plot is attached below :
Answer:
Range = 20
Median = 8
Step-by-step explanation:
The median value of a box plot is obtained at the point where a vertical line divides the box into two parts. In the boxplot Given the median of the representation is 8. This is the point where the vertical line divides the box.
The range of the distribution is the difference between the maximum and minimum value :
Minimum (starting point of whisker) = 5
Maximum (end point of whisker) = 25
Range = 25 - 5 = 20
how do you find the height of a triangle (to calculate area)?
Answer:
The height of the triangle could be found by the Pythagoras theorem, where the result is, with the data of the exercise:
Height of the triangle = 10.392And the area of the triangle is:
Area of the triangle = 31.176 units^2Step-by-step explanation:
When you have two measurements of a triangle, as the case in the picture, you can find the third with the Pythagoras theorem, which is:
(opposite leg)^2 + (adjacent leg)^2 = hypotenuse^2As you can see in the picture, the measurement of the hypotenuse is 12, and the opposite leg could be 6, for this reason, we're gonna clear the adjacent leg of the formula above:
(opposite leg)^2 + (adjacent leg)^2 = hypotenuse^2(adjacent leg)^2 = hypotenuse^2 - (opposite leg)^2Now, we can replace the values in the formula obtained:
(adjacent leg)^2 = hypotenuse^2 - (opposite leg)^2(adjacent leg)^2 = 12^2 - 6^2(adjacent leg)^2 = 144 - 36(adjacent leg)^2 = 108Now, as we just need the adjacent leg, we take the square root of both sides:
adjacent leg = [tex]\sqrt{108}[/tex]adjacent leg = 10.392 approximately.Now, with these data, we can find the area of the triangle with the next formula:
Area of a triangle = (base * height) / 2And we replace the measurements:Area of a triangle = (6 * 10.392) / 2Area of a triangle = 31.176As the image does not contain units, it would be simply this number, however, you should know that the area units are usually given squared, for example: in^2 or ft^2.
Solve for X
Solve for X
Solve for X
Solve for X
Solve for X
Solve for X
Solve for X
Solve for X
Solve for X
Solve for X
Solve for X
Answer:
[tex]AD/ED=AB/CB[/tex][tex]15/x=9/3[/tex][tex]45/9=9x/9[/tex][tex]x=5[/tex]----------------------
hope it helps...
have a great day!!
Answer:
x=5
Step-by-step explanation:
What is the area of the rectangle
Answer:
B) [tex]\frac{15}{4}[/tex]
Step-by-step explanation:
Area of a rectangle formula:
A = bh
Given:
b = [tex]2\frac{1}{2}[/tex]
h = [tex]1\frac{1}{2}[/tex]
Work:
A = bh
A = [tex](2\frac{1}{2} )(1\frac{1}{2} )[/tex]
A = [tex]\frac{15}{4}[/tex]
Can someone answer this
Answer:
54
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
Here [ a, b ] = [ 3, 4 ] , then
f(b) = f(4) = 81 ← value of y from table for x = 4
f(a) = f(3) = 27 ← value of y from table for x = 3
average rate of change = [tex]\frac{81-27}{4-3}[/tex] = 54
Finding probability
Answer:
6/8??
Step-by-step explanation:
I am a little confused with the question but i believe its 6/8
Malik, who is 5 feet tall, stands 15 feet from a mirror. In
the mirror, he can see the reflection of the top of a tree,
which he measures to be 92 feet away from the mirror. round your answer to the nearest hundredth
what's the answer dhdhdizdjskxi
Answer:
138 ft for the area in the proposed design of the green section.
To find the area of the whole shape, you gotta divide it into polygons. So, you find the area of the big rectangle at the bottom first: 18 x 7 = 126. That's the area of the big rectangle.
Then, you find the area of the little square on top. 4 x 4 - 16, that's the area. Then, you gotta add those two together: 126 + 16. The total area is 142 square feet.
Determine if the sequence below is arithmetic or geometric and
determine the common difference / ratio in simplest form.
1,3,5...
This is
sequence and the
is equal to
Answer:
arithmetic
Step-by-step explanation:
geometric sequences grow really fast in a short amount of time while arithmetic sequences have a steady growth over any period of time
Answer:
This is an arithmetic sequence and the common difference is equal to 2.
HELP ME ASAP I NEED HELP NOW
Zeros:
x = -2
x = 6
Smaller zero: -2
What is the area, in square feet, of the shaded part of the rectangle below?
===============================================
Work Shown:
A = area of the rectangle
A = length*width
A = 16*17
A = 272 sq ft
B = area of triangle
B = base*height/2
B = 16*8/2 ..... note that 17-9 = 8
B = 16*4
B = 64 sq ft
C = area of shaded trapezoid
C = A - B
C = 272 - 64
C = 208 sq ft
--------------------
Alternative Method:
Apply the trapezoid area formula
b1 = 17 and b2 = 9 are the parallel bases
h = 16 is the height perpendicular to either base
A = h*(b1+b2)/2
A = 16*(17+9)/2
A = 16*(26)/2
A = 16*13
A = 208 sq ft
cual es el resultado de 5-4(6-12)
Answer:
29
Step-by-step explanation:
5-(4*(6-12))=29
Answer:
La respuesta es 29, espero que esto ayude.
A light bulb manufacturer randomly checks light bulbs. Of 1,000 light bulbs checked, 30 light bulbs are defective. How many light bulbs will most likely be defective in a batch of 3,500?
A. 60
B. 105
C. 120
D. 180
Answer:
105
Step-by-step explanation:
(30/1000) * 3500 = 105
Price of bread was increased by 5% to a retail price of $3.57. What was the original price ?
Answer:
3.39
Step-by-step explanation:
Please help.
Determine which lines are parallel and which are perpendicular. Explain your reasoning.
Answer:
Parallel: a and b, p and q, p and r, q and r
PErpendicular: p&a, p&b, q&a, q&b, r&a, r&b
Step-by-step explanation:
Parallel lines have the same slope so both of the lines would be going in the same direction and will never cross each other.
Perpendicular lines cross at a 90 degree angle.
Technically you do not know if q&a and q&b are perpendicular because you do not know if there is a 90 degree angle
Answer:
Parallel lines are equally spaced out in the same direction so it would be p,q, and r, Purpendicular Lines intersect at a 90 degee angle so it would be q and a, q and b, r and b, and r, and so on
Step-by-step explanation:
expand and simplify (3x+4)(2x+3)
Answer:
answer is 6x^2+17x+12
Step-by-step explanation:
3x(2x+3)+4(2x+3)=6x^2+9x+8x+12=6x^2+17x+12
Solve for X please help
Answer:
x = 10
Step-by-step explanation:
First square both sides of the equation...
[tex]2\sqrt{x + 8} = 3\sqrt{x - 2} \\(2\sqrt{x + 8})^{2} = (3\sqrt{x - 2})^{2} \\ 4(x + 8) = 9(x - 2)\\4x + 32 = 9x - 18\\-5x = -50\\x = 10[/tex]
The quality control manager of at Long John Silver's restaurant wants to analyze the length of time that a car spends at the drive-thru window waiting for an order. It is determined that the mean time spent at the window is 59.3 seconds with a standard deviation of 13.1 seconds. The distribution of time at the window is skewed right. The quality control manager wishes to use a new delivery system designed to get cars through the drive-thru system faster. A random sample of 40 cars results in a sample mean time spent at the window of 56.8 seconds. What is the probability of obtaining a sample mean of 56.8 seconds or less, assuming that the population mean is 59.3 seconds
Answer:
0.11314
Step-by-step explanation:
The Long John Silver's restaurant parameters are;
The mean time spent at the window, μ = 59.3
The standard deviation, σ = 13.1
The time distribution is skewed right
The number of cars in the sample, n = 40 cars
The mean time spent at the window with the delivery system, [tex]\overline x[/tex] = 56.8 seconds
The Z-value for a mean time of 56.8 seconds is given as follows;
[tex]Z=\dfrac{\bar{x}-\mu }{\dfrac{\sigma }{\sqrt{n}}}[/tex]
Therefore, we get;
[tex]Z=\dfrac{56.8-59.3 }{\dfrac{13.1 }{\sqrt{40}}} \approx -1.20697620617[/tex]
Therefore, the z-value ≈ -1.21
From the normal probability table, we have;
P([tex]\overline X[/tex] ≤ 56.8) = P(Z < -1.21) = 0.11314
The probability of obtaining a sample mean of 56.8 second or less, assuming that the population mean is 59.3 seconds P([tex]\overline X[/tex] ≤ 56.8) = 0.11314.
1001 divided by 7
( long division )
Answer: 143
Step-by-step explanation: hope this helps :)
I really need help! is my answer correct ?
help please! if it’s correct ill give brainliest
Answer:
[tex]radius = \sqrt{ {15}^{2} + {36}^{2} } = 39 \\ area = 4 \times {39}^{2} \times \pi = 19103.76[/tex]
2) determine the length of the hypotenuse from the picture
A) 21 cm
B) 28 cm
C) 35 cm
D) 49 cm
Dont put the answer
In a link
3. Simplify:
a) 4a - 3b + a - 2b
Answer:
4a-3b+a-2b
5a-3b-2b
5a-3b-2b
5a-5b
solution: 5a-5b
I need help pleasee!! Asap!
The midpoints of a rectangle always form parallelogram.