For the given central angle, determine the distance traveled along the unit circle from the point (1, 0).
218 degrees
a.
1.21 units clockwise
c.
7.61 units
b.
3.80 units
d.
1.90 units
Answer:
Step-by-step explanation:
radius of unit circle = 1
θ = 218° × π/180° = 109π/90 radians
arc length = rθ = 109π/90 ≅ 3.80 units
Which of the following is most likely the next step in the series ?
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Option D is the right answer as you can see ..
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which choices are equivalent to the quotient below check all that apply √12/√6
Step-by-step explanation:
I don't see any of the choices, but I'll just give you what it's equal to. The expression is equal to: sqrt2, which is approximately 1.414.
At a recent soccer game at Red Bulls stadium, 7500 fans were rooting for the New England Revolution while 17,500 fans were rooting for the New York Red Bulls. What percent of the soccer fans were rooting for the New England Revolution?
Answer:
30%
Step-by-step explanation:
add the number of fans together: 7500+17500 = 25000
write as fraction, fans of New England Revolution over total number: 7500/25000
simplify or use calculator: 3/10 or 0.3
convert fraction or decimal to percentage: 30%
What is 50x60? Explain
Answer:
3000
Step-by-step explanation:
50 x 60 = 3000, because
5 x 6 = 30
then you add the 2 zeros making,
3000
Answer:
3000
Step-by-step explanation:
if we break it down, 5 x 6=30 but the numbers have zeros so you have to add one to that answer giving you 3000
8. The Johnsons are having a family reunion and they want to order T-shirts. 36 people will be
attending the reunion. There will be twice as many children as adults at the reunion. Set up a
system of equations that represents the numbers of adults and children that are attending the
reunion and solve the system to figure out how many adult and child T-shirts they need to buy.
(hint: let a=the number of adults, and c=the number of children)
Answer:
116
Step-by-step explanation:
8
=36
Automobiles traveling on a road with a posted speed limit of 65 miles per hour are checked for speed by a state police radar system. The following is a frequency distribution of speeds. Speed (miles per hour) Frequency 45 up to 55 50 55 up to 65 325 65 up to 75 275 75 up to 85 25 picture Click here for the Excel Data File The mean speed of the automobiles traveling on this road is the closest to ____.
Answer:
The mean speed of the automobiles traveling on this road is the closest to 64 miles per hour
Step-by-step explanation:
Given
[tex]\begin{array}{cc}{Speed} & {Frequency} & {45-55} & {50} & {55-65} & {325} & {65-75} & {275} & {75-85} & {25} \ \end{array}[/tex]
Required
Calculate the mean
First, calculate the midpoint (x)
For 45 - 55: [tex]x = \frac{1}{2}(45+55) = 50[/tex]
For 55 - 65: [tex]x = \frac{1}{2}(55+65) = 60[/tex]
For 65 - 75: [tex]x = \frac{1}{2}(65+75) = 70[/tex]
For 75 - 95: [tex]x = \frac{1}{2}(75+85) = 80[/tex]
So, we have:
[tex]\begin{array}{ccc}{Speed} & {Frequency} & {x} & {45-55} & {50} & {50} & {55-65} & {325} & {60} & {65-75} & {275} &{70} & {75-85} & {25} &{80}\ \end{array}[/tex]
The mean is then calculated as:
[tex]\bar x = \frac{\sum fx}{\sum f}[/tex]
[tex]\bar x = \frac{50*50+325*60+275*70+25*80}{50+325+275+25}[/tex]
[tex]\bar x = \frac{43250}{675}[/tex]
[tex]\bar x = 64.07[/tex]
[tex]\bar x = 64[/tex] --- approximated
Help needed with this asap
Answer:
f(-3) = 4(-3) + 5 = -12 + 5 = -7. the answer is #2.
When solving quadratic equation, what do the X value stand for as it relates to plotting the graph of the equation?
Step-by-step explanation:
step 1. The x values refer to the domain of the function.
step 2. if you set y = 0 and solve the quadratic equation the x values refer to the point the graph crosses the x axis.
Factor the following expression so it is in simplest form.
6a – 4(2a + 3)
A.
–2(a – 6)
B.
–2(a + 6)
C.
2(7a – 6)
D.
2(7a + 6)
Answer:
B) -2(a+6)
Step-by-step explanation:
6a-4(2a+3)
6a-8a-12
-2a-12
factor
-2(a+6)
A rectangle has an area of 64 ft squared. If the length of the rectangle is x ft and the width of the rectangle is x to the 1/2 ft, find the length and width of the rectangle.
Answer:
I DONT KNOW BUT YOU HAVE TO CHECK OUT MY QUESTION NO OE CAN SOLVE IT I BET
Step-by-step explanation:
A gardener wants to know if soaking seeds in water before planting them increases the proportion of seeds that germinate. To investigate, the gardener will assign 50 seeds to be soaked before planting and 50 seeds to be planted without being soaked. After two weeks, the gardener will record how many seeds in each group germinated and construct a 95 percent confidence interval for the difference in proportions. Which of the following conditions for inference should be met?
I. The seeds should be randomly assigned to a treatment.
II. The group sizes should be less than 10 percent of the population sizes.
III. The number of successful seeds and unsuccessful seeds in each group should be at least 10.
a. I only
b. II only
c. III only
d. I and III only
Answer:
d. I and III only
Step-by-step explanation:
I. The seeds should be randomly assigned to a treatment.
III. The number of successful seeds and unsuccessful seeds in each group should be at least 10.
The distribution of difference between two sample proportions :
Given :
Proportion 1 = P1 ;
Proportion 2 = P2 ;
Sample assignment for both samples 1 and 2 into the different treatment groups should be randomized, that is a simple random sampling of subjects into the treatment and control group. The sample design for difference between two sample proportions should be independent.
Finally each of the two proportions P1 and P2 should record a minimum of 10 successes and 10 non - successful Occurrences.
Find the value of x. Round to the nearest tenth.
Answer:
x = 22.1°
Step-by-step explanation:
Angle ∠A = 41.124° = 41°7'26" = 0.71775 rad
Angle ∠B = 22.075° = 22°4'31" = 0.38528 rad
Angle ∠C = 116.801° = 116°48'4" = 2.03856 rad
A) square root 6
B) 6
C) 6 square root 2
D) 12
E) 12 square root 2
Please help
sin(45degrees) or BC/AB is 1/sqrt2(that's the value of sin45 degrees I recommend you to memorize this.)
x/12=1/sqrt2
x*sqrt2=12
x=12/sqrt2
Now rationalize this fraction to make the answer more formal.
x=12sqrt2/2(I multiplied both top and bottom by sqrt2)
Now simplify
x=6sqrt2
Question done! answer is C 6 square root of 2
Hope this helped any questions just put them in the comments.
Answer:
6 square root 2
Step-by-step explanation:
The volume of a cube, in cubic centimeters, is given by the function V(x) = x3, where x is the side length of the cube in centimeters. Write a new function for the volume of the cube in cubic millimeters.
I think we can all agree that 1 centimeter=10millimeters.
And if x is the side in centimeters then 10x will be the side in millimeters.
We just need to rewrite x^3 into (10x)^3.
Because you need to do the exponent to all part of the ( )...
(10x)^3=1000x^3
V(x)=1000x^3 cubic millimeters is the answer
Hence, a new function for the volume of the cube in cubic millimeters is [tex]V(x)=1000x^3[/tex].
What is the volume of cube?
The volume of a cube is defined as the total number of cubic units occupied by the cube completely.
A cube is a three-dimensional solid figure, having six square faces. Volume is nothing but the total space occupied by an object.
Here given that,
The volume of a cube, in cubic centimeters, is given by the function [tex]V(x) = x^3[/tex], where [tex]x[/tex] is the side length of the cube in centimeters.
As, [tex]1[/tex] centimeter=[tex]10[/tex]millimeters.
If the side is [tex]x[/tex] then the side in millimeter is [tex]10x[/tex].
So, we have [tex]x^3[/tex] which would be [tex](10x)^3[/tex]
[tex](10x)^3=1000x^3[/tex]
Then,
[tex]V(x)=1000x^3[/tex] cubic millimeters.
Hence, a new function for the volume of the cube in cubic millimeters is [tex]V(x)=1000x^3[/tex].
To know more about the volume of a cube
https://brainly.com/question/16642309
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Find the Area Please
Answer:
The area of this shape is super close/equal to 18.283 [tex]m^{2}[/tex]
Step-by-step explanation:
The area of this shape will be equal to the sum of the area of the trapezoid with the height being 4m and parallel lines being 2m and 4m long, and the area of the semi-circle with the radius of 2m. And so we get...
Let "A" be the total area of this shape, then...
[tex]A = \frac{(a + b)h}{2} +[/tex] π[tex]r^{2}[/tex]/2
[tex]A = \frac{(2 + 6)4}{2} +[/tex] π [tex]2^{2}[/tex]/2
[tex]A[/tex] ≈ 12 + 6.283
A ≈ 18.283 [tex]m^{2}[/tex]
Which of the following equations would have the roots -3 and 2?
Answer:
Step-by-step explanation:
The second one.
first time taking a picture but some one help me, this is the last question and I want to die.
Answer:
Step-by-step explanation:
12 more than the square of a number is the same as 7 times the number.
Answer: Sorry I don't know
Step-by-step explanation:
Can anyone help with condensing this?
Answer:
log 16x^7.
Step-by-step explanation:
log 4 + 2 log 2 + 7 log x
= log4 + log 2^2 + log x^7
= log (4*4*x^7)
= log 16x^7.
equations with variables on both sides that make the answer x=8
Answer:
x/4 = x-6
Step-by-step explanation:
x/4 = x-6 makes x = 8
Hope this helps!!!
Select the correct option from the menu.
Raj determined that the equation 3 (x+3) = 8 - 5x +7 is equivalent to 9 = 7. This means that this equation has:
no solutions
One solution
Two solutions
Infinity many solutions
Answer:
no solutions
Step-by-step explanation:
Pat finds that the length of a ceiling beam is 114 inches what is the length of the beam in feet.
how to work it out in a problem
Answer:
farted farted fartedfarted
Answer
Step-by-step explanation:
Russ walks
7
10
mile to school.
How far has he walked when he has covered
5
8
of the distance to school?
Answer:
If he walks 7/10 miles to school, and you want to find 5/8 of that distance, you have to multiply the 2 fractions together. So he has walked 7/16 miles when he has covered 5/8 of the distance to school. thank me later
PLS ANSWER QUICK The science center has 200 people in attendance on Monday. The center expects Saturday’s attendance to be 140 percent of Monday’s attendance. Natasha is trying to figure out how many people will be in attendance. Her work is shown below.
Answer:
solution
100%=200
140%=?
=280
Find x, the angle of depression from the top of a lighthouse that is 153 ft above the water level to the waterline of a ship 1071 ft off shore. Round your answer to the nearest tenth of a degree.
Answer:
x = 8.1°
Step-by-step explanation:
Reference angle = x
Opposite side = 153 ft
Adjacent side = 1071 ft
Applying trigonometric ratio (TOA), we have:
[tex] tan(x) = \frac{opp}{adj} [/tex]
[tex] tan(x) = \frac{153}{1071} [/tex]
[tex] x = tan^{-1}(\frac{153}{1071}) [/tex]
[tex] x = 8.1 degrees [/tex] (nearest tenth)
HELPPPPP!!!!!!!!!!!!!!
Answer
0.75 or 3/4 is the answer (degree)
I just solved for the angles and use a graphing calculator to find the din and cosine values and multiply them
Question 22 Noella wraps cube-shaped boxes at her gift shop. The cost of wrapping a box depends on its side length. A box with a side length, x, of at least 5 inches will cost 0.05⋅6⋅x2 dollars to wrap. A box with a side length, y, of less than 5 inches will cost 0.04⋅6⋅y2 dollars to wrap. Which of the following correctly represents the total cost to wrap each set of cube-shaped boxes? Select ALL that apply.
Answer:
D B E
Step-by-step explanation:
each of two equal angles is twice the third angle. find the angle of triangle.
Answer:
45 degrees each and 90 degrees
The school sold 300 tickets to the theatre performance. They sold adult tickets for $9 each and student tickets for $6 each. They made a total of $2, 190. How many students were in attendance?
PLEASE HELP! I need to show work
Answer:
170 students were attending
Step-by-step explanation:
use a system of equations:
[tex]\left \{ {{x+y=300} \atop {9x+6y=2190}} \right.[/tex]
let x be the adults and y be the students
[tex]\left \{ {{-9(x+y=300)} \atop {9x+6y=2190}} \right.[/tex] multiply the top equation by -9 and add the two systems together to cancel out x. you are then left with:
[tex]-3y=-510[/tex]
divide both sides by -3 to leave y alone:
[tex]\frac{-3y}{-3}=\frac{-510}{-3}[/tex]
that would leave you with:
y=170
