Kayla parks her car at the corner of Ogilvie and Montreal Rd. She walks 80m East and then turns 30° to the left towards her office building and continues walking for another 100m until she reaches her building. She then takes the elevator to her office 60m above ground level and looks out the window. She can see her car from here. How far is it from where she is to her car in a direct line?
9514 1404 393
Answer:
184 m
Step-by-step explanation:
The direct distance from Kayla's car (C) to the door of her office building (B) can be found using the Law of Cosines. The interior angle of the triangle at the turning point is 180° -30° = 150°, so the distance is ...
t² = b² +c² -2bc·cos(T)
t² = 80² +100² -2·80·100·cos(150°) = 30256.406
The direct distance from her window to the car can be found from the Pythagorean theorem. The legs of the right triangle are the distance from the car to the building (CB) and the height from the building entrance to the window (BW).
CW = √(t² +60²) ≈ 184.001
The direct line distance from Kayla to her car is 184 meters.
_____
For the first computation, we used the usual notation for a triangle, where capital letters (CTB) are the vertices and angles, and corresponding lower-case letters are their opposite sides.
which equation is equivalent to 8+2(x-1)=5
Answer:
8+2x-2 = 5
2x+6 =5
2x = -1
Step-by-step explanation:
8+2(x-1)=5
Distribute
8+2x-2 = 5
Combine like terms
2x+6 =5
Subtract 6
2x+6-6=5-6
2x = -1
In a scatter plot, each ____. Group of answer choices individual is represented by a single point group mean is represented by a single point individual is represented by two data points group mean is represented by two data points
Answer:
Individual is represented by a single point
Step-by-step explanation:
Sharla invests $275 in a simple interest bearing account for 16 years. The annual interest rate is 8%. Using the simple
interest formula, / -Prt, how much interest will Sharla's initial investment earn over the 16 year period?
$297
$319
$352
$627
Answer:
352
Step-by-step explanation:
I = PRT where P is the principle, I is the interest rate, T is the time
I = 275 ( .08) ( 16)
I = 352
An advertising firm wanting to target people with strong desires for success conducted a study to see if such people differed in the types of television shows they watched. Randomly selected participants recorded the shows they watched for a week, then their desire for success was assessed, and finally they were divided into two groups. Low Success seekers watched 8 comedies, 15 romances, 6 documentaries, 13 dramas, and 3 news shows. High Success seekers watched 3 comedies, 3 romances, 9 documentaries, 7 dramas, and 8 news shows.
1. Use the five steps of hypothesis testing.
2. Sketch the chi-square distribution. Be sure your sketch gives a rough indication of its shape and shows the cutoff score and the sample's score.
3. Explain the logic of what you have done to a person who is familiar with the logic and steps of hypothesis testing for the t test and analysis of variance, but who knows nothing about chi-square tests.
4. Figure a measure of effect size and indicate whether it is small, medium, or large.
Answer:
Blablabla
Step-by-step explanation:
Bababa
Find the bases for Col A and Nul A, and then state the dimension of these subspaces for the matrix A and an echelon form of A below.
A= 1 3 8 2 7 1 3 8 2 7
2 7 20 6 20 --- 0 1 4 2 6
-3 -12 -36 -7 -19 0 0 0 1 4
3 13 40 9 25 0 0 0 0 0
Start 4 By 5 Table 1st Row 1st Column 1 2nd Column 3 3rd Column 8 4st Column 2 5st Column 7 2nd Row 1st Column 2 2nd Column 7 3rd Column 20 4st Column 6 5st Column 20 3rd Row 1st Column negative 3 2nd Column negative 12 3rd Column negative 36 4st Column negative 7 5st Column negative 19 4st Row 1st Column 3 2nd Column 13 3rd Column 40 4st Column 9 5st Column 25 EndTable
tilde
Start 4 By 5 Table 1st Row 1st Column 1 2nd Column 3 3rd Column 8 4st Column 2 5st Column 7 2nd Row 1st Column 0 2nd Column 1 3rd Column 4 4st Column 2 5st Column 6 3rd Row 1st Column 0 2nd Column 0 3rd Column 0 4st Column 1 5st Column 4 4st Row 1st Column 0 2nd Column 0 3rd Column 0 4st Column 0 5st Column 0 EndTable
A basis for Col A is given by
StartSet nothing EndSet
(Use a comma to separate vectors as needed.)
The dimension of Col A is
3.
A basis for Nul A is given by
StartSet nothing EndSet
(Use a comma to separate vectors as needed.)
The dimension of Nul A .
Answer:
skip counting by 0
Step-by-step explanation:
skipcount by 0 to get to 100 for the third column.
Answer:
its the first graph
Step-by-step explanation:
I got it right bc im cool like that ig
A small boat can travel at 28 per hour how many hours will it take to go across the bay that is 56 miles wide
Answer:
2 hours
Remember that time = distance/rate
The distance you need to cover is 56 miles, while you go 28 miles per hour. Using these, we get this:
time=56/28
time=2
So it will take two hours to go across a 56 mile wide bay at 28 mph.
Step-by-step explanation:
The average of a group of data points is called the
Answer:
mean
Step-by-step explanation:
The mean of a data set is the sum of the values divided by the number of values. The median of a data set is the middle value when the values are written in numerical order. If a data set has an even number of values, the median is the mean of the two middle values.
find the value of n . 80×π×n=1100000
Answer:
110000/8π
Step-by-step explanation:
Divide 1100000 by 80 and cancel 0. Then divide pi
What is the mean of the following list of extra credit points earned on a statistics test?
10,8,18,17,7
Answer:
12
Step-by-step explanation:
Given the data :
X : 10,8,18,17,7
The mean value of scores obtained can be obtained thus :
Mean = ΣX / n
n = sample size = 5
Mean = ΣX / n = (10+8+18+17+7) / 5
Mean = 60 / 5 = 12
Please help me please please help ASAP
Step-by-step explanation:
70 + 45 = 115
180 - 115 = 65
angle c = 65
use sohcahtoa
cos angle = adjacent
hypotenuse
cos 65 = 2.5
b
b cos 65 = 2.5
use the calc for further answers
hope that helped
Police estimate that 25% of drivers drive without their seat belts. If they stop 6 drivers at random, find theprobability that more than 4 are wearing their seat belts.
Answer:
%17.80
Step-by-step explanation:
17.8% is the probability that more than 4 are wearing their seat belts.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Given that Police estimate that 25% of drivers drive without their seat belts.
If they stop 6 drivers at random we need to find the probability that more than 4 are wearing their seat belts.
For each driver stopped, there are only two possible outcomes. Either they are wearing their seatbelts, or they are not.
he drivers are chosen at random, which mean that the probability of a driver wearing their seatbelts is independent from other drivers.
Police estimate that 25% of drivers drive without their seat belts.
This means that 75% wear their seatbelts, so P=0.75
If they stop 6 drivers at random, find the probability that all of them are wearing their seat belts.
[tex]P(X=x)=C_{n,x} p^{x} (1-p)^{n-x}[/tex]
[tex]P(X=6)=C_{6,6} 0.75^{6} (1-0.75)^{0} =0.1780[/tex]
Hence, 17.8% is the probability that more than 4 are wearing their seat belts.
To learn more on probability click:
https://brainly.com/question/11234923
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To solve the system of linear equations 3 x minus 2 y = 4 and 9 x minus 6 y = 12 by using the linear combination method, Henry decided that he should first multiply the first equation by –3 and then add the two equations together to eliminate the x-terms. When he did so, he also eliminated the y-terms and got the equation 0 = 0, so he thought that the system of equations must have an infinite number of solutions. To check his answer, he graphed the equations 3 x minus 2 y = 4 and 9 x minus 6 y = 12 with his graphing calculator, but he could only see one line. Why is this?
i have a time limit someone answer fast plsss (taking this down at 4:20 pm)
Answer:
The lines are:
3x - 2y = 4and
9x - 6y = 12Since after multiplying by -3 the equations sum to 0, the equations are same.
Same equations produce overlapping lines, hence you can see one line only.
Divide second equation by 3
3x-2y=4LInes are same so you can see only one line
The following three shapes are based only on squares, semi circles, and quarter circles. Find the perimeter in the area of each shaded part
Answer: 46.26
Step-by-step explanation:
Since it is a square the sides are all the same, and since it’s a half circle, the dashed line is the diameter of the circle. To find the circumference on a circle, the equation is diameter times pi. 3.14 is commonly used for pi which is what I’m using 3.14, but of you are told to use a different number use that. 9*3.14 is 28.26. Since ther are exactly two half circles in the diameter, here’s no point in dividing by 2. The rest of the perimeter are just 2 sides of the square. So 9+9+28.26 is 46.26.
Find the length of the third side?
Answer:
2
Step-by-step explanation:
let x be the third side
Using Pythagoras' identity in the right triangle
x² + 5² = ([tex]\sqrt{29}[/tex] )²
x² + 25 = 29 ( subtract 25 from both sides )
x² = 4 ( take the square root of both sides )
x = [tex]\sqrt{4}[/tex] = 2
(ii). nth term of: 10+4-2...
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Answer:
an = 10 -6(n -1)
Step-by-step explanation:
The series is an arithmetic series with a first term of 10, and a common difference of 4-10 = -6. The n-th term of an arithmetic series is given by ...
an = a1 +d(n -1) . . . . . for first term a1 and common difference d
__
For the parameters this series has, the n-th term is ...
an = 10 -6(n -1)
In this diagram,which equation could prove to be true in order to conclude that the lines are parallel?
Answer:
b/a = c/d (first option)
Step-by-step explanation:
Two lines:
f(x) = a*x +b
g(x) = m*x + s
are parallel if m = a, and s ≠ b.
So the lines must have the same slope and different y-intercept.
For the graphed lines is obvious that the y-intercepts are different, so let's look at the slopes.
Remember that if a line passes through the points (x₁, y₁) and (x₂, y₂), then the slope can be written as:
slope = (y₂ - y₁)/(x₂ - x₁)
So now let's look to our lines.
The top one, passes through (-a, 0) and (0, b)
Then its slope is:
a₁ = (b - 0)/(0 - (-a)) = b/a
The bottom line passes through the points (0, -c) and (d, 0)
Then the slope will be:
m₁ = (0 - (-c))/(d - 0) = c/d
Then the lines will be only parallel if the slopes are equal, which means that we must have
b/a = c/d
The correct option is the first one.
Julie needs to cut 4 pieces of yarn, each with the same length, and a piece of yarn 7.75 inches long. let x represent the length of each of the equal pieces of yarn that julie decides to cut. what is the equation that can be used to determine the total length of all the yarn that she ends up cutting, y? is the graph of the equation continuous or discrete?
Answer:
The answer is below
Step-by-step explanation:
Let x represent the length of each of the equal piece of yarn. Since they are 4 equal pieces of yarn, then the total length of the equal pieces of yarn = 4x.
Also, besides cutting the 4 equal pieces of yarn Julie further cuts a yarn 7.75 inches long, therefore if y represent the total length of all the yarn that she ends up cutting, hence:
y = 4x + 7.75
Since the graph produced by this equation have all points connected to each other, hence this is a continuous graph.
Jenny bought scrapbooking supplies for $156.50. She paid $10.17 in sales tax. What was the sales tax rate on the supplies? If necessary, round your answer to the nearest tenth.
Answer:
6.5%
Step-by-step explanation:
sales price x sales tax rate = sales tax
156.50 x sales tax rate = 10.17
sales tax rate = 10.17/156.50
sales tax rate = .065 or 6.5%
find the value of the trigonometric ratio
Answer:
ur box cannot be opend repain the window
Step-by-step explanation:
please mark this answer as brainlist
A school sports team contains 68 students. 33 do field events, 40 do track events, 23 do swimming, 14 do both field and track events, 8 do both swimming and field events. If 15 students do field events only and 10 do both swimming and track events, how many students do a. Swimming only b. Track events only c. All three events?
Answer:
a. 9 students
b. 20 students
c. 4 students
Write a linear equation representing the information shown in the table.
A) y = –2∕5x – 5
B) y = –5∕2x – 5
C) y = 5∕2x – 5
D) y = 2∕5x – 5
Answer:
C. y = ⁵/2x - 5
Step-by-step explanation:
The linear equation representing the information on the table can be expressed in the slope-intercept form as y = mx + b, where,
m = slope = change in y/change in x
b = y-intercept/initial value = the value of y when x is zero
✔️Find m using two pairs given, say (0, -5) and (2, 0):
slope (m) = (0 - (-5))/(2 - 0) = 5/2
m = ⁵/2
✔️Find b:
when x = 0, y = -5. Therefore, y-intercept, b, is -5
b = -5
✔️To write the equation, substitute m = ⁵/2 and b = -5 into y = mx + b
Thus:
y = ⁵/2x + (-5)
y = ⁵/2x - 5
A powerful women's group has claimed that men and women differ in attitudes about sexual discrimination. A group of 50 men (group 1) and 40 women (group 2) were asked if they thought sexual discrimination is a problem in the United States. Of those sampled, 11 of the men and 19 of the women did believe that sexual discrimination is a problem. Construct a 90% confidence interval estimate of the difference between the proportion of men and women who believe that sexual discrimination is a problem. What is the lower limit?
Answer:
the lower limit is 35% women believed and 65% of men believed in serial discrimination
for 0 degrees ≤ x < 360 degrees , what are the solutions to sin (x/2) + cos(x) - 1 =0
Recall the double angle identity for cosine:
cos(x) = cos(2×x/2) = 1 - 2 sin²(x/2)
Then the equation can be rewritten as
sin(x/2) + (1 - 2 sin²(x/2)) - 1 = 0
sin(x/2) - 2 sin²(x/2) = 0
sin(x/2) (1 - 2 sin(x/2)) = 0
sin(x/2) = 0 or 1 - 2 sin(x/2) = 0
sin(x/2) = 0 or sin(x/2) = 1/2
[x/2 = arcsin(0) + 360n ° or x/2 = 180° - arcsin(0) + 360n °]
… … or [x/2 = arcsin(1/2) + 360n ° or x/2 = 180° - arcsin(1/2) + 360n °]
x/2 = 360n ° or x/2 = 180° + 360n °
… … or x/2 = 30° + 360n ° or x/2 = 150° + 360n °
x = 720n ° or x = 360° + 720n °
… … or x = 60° + 720n ° or x = 300° + 720n °
(where n is any integer)
We get only three solutions in 0° ≤ x < 360° :
720×0° = 0°
60° + 720×0° = 60°
300° + 720×0° = 300°
Answer:
B: (0, 60, 300)
Step-by-step explanation:
right on edge
What is the midpoint of the line segment AB?
Answer:
(5.5,0)
Step-by-step explanation:
Mid point is ((3+8)/2,(4-4)/0)=(5.5,0)
The sume of the reciprocals of two consecutive integers is 3/2. Find the two integers
Answer:
1 and 2
Step-by-step explanation:
Let's say our first number is x. Our second number is the number after that, or x+1. A reciprocal of a number is 1/that number. Therefore, the reciprocal of x is 1/x and the reciprocal of x+1 is 1/(x+1). The question states the sum of the reciprocals of the two numbers is equal to 3/2. Therefore,
1/x + 1/(x+1) = 3/2
multiply both sides by 2 to remove a denominator
2/x + 2/(x+1) = 3
multiply both sides by x to remove a denominator
2 + (2*x)/(x+1) = 3x
multiply both sides by (x+1) to remove the other denominator
2*(x+1) + 2*x = 3x*(x+1)
expand
2*x+2 + 2*x = 3x²+3
combine like terms
4x + 2 = 3x²+3
subtract (4x+2) from both sides to make everything equal to 0 and to form a quadratic
3x² - 4x + 1 = 0
To factor this, we need to find two numbers that add up to b and multiply to a*c in an equation of form ax²+bx + c. Here, a=3, c=1, and b = -4
Two numbers that add to -4 and multiply to 3*1=3 are -3 and -1. We can thus factor this out to get
3x²-3x-x+1 = 0
3x(x-1) -1 ( x-1) = 0
(3x-1)(x-1) = 0
Therefore, solving for 0, we get
3x-1=0
x = 1/3
x-1 = 0
x=1
The only integer solution possible is x=1
To confirm, 1/1 + 1/(1+1) = 3/2, so x=1 is correct, with 1+1=2 being the second integer
Which equation represents a line that passes through (4,1/3) and has a slope of 3/4?
Oy- 3/4= 1/3(x-4)
Oy-1/3= 3/4(x-4)
Oy- 1/3= 4(x-3/4)
Oy-4 = 3/4(x-1/3)
Step-by-step explanation:
With this kind of problem, we're looking at an equation in the form
y - y1 = m(x - x1)
(m = slope)
so we can substitute m, y1, and x1 with the values we're given.
y - y1 = m(x - x1)
y - 1/3 = 3/4(x - 4)
Answer:
y - 1/3 = 3/4(x - 4)
Hey guys if you could help ASAP thank you
Answer:
Step-by-step explanation:
The answer is B
if you have 2^3 * 2*4 to find out what that equals, leave the base (2) alone and add the powers. You get 2^(3 + 4) = 2^7
Let's see if that works.
2^3 = 8
2^4 = 16
8 * 16 = 128
Now what is 2^7?
2^7 = 128 just as it should
Now returning to your question
3^7.869 = answer B You leave the base alone (7) and add the powers. The 8 is 8/10
The 6 is 6/100
The 9 is 9 / 1000 Just add the fractions and keep the 7 and the 3.
Which description does NOT guarantee that a quadrilateral is a square?
A. A quadrilateral has all sides congruent and all angles congruent.
B. A quadrilateral is a parallelogram with perpendicular diagonals.
C. A quadrilateral is both a rectangle and a rhombus.
D. A quadrilateral has all right angles and has all sides congruent.
Answer:
C A quadrilateral is both a rectangle and a rhombus
PLSS HELPPPP WILL GIVE BRAINLESSS A 22-foot ladder is resting against the side of a building. The bottom of the ladder is 3 feet from the building. Find the measure of the angle the ladder makes with the ground. Round your answer to the nearest tenth of a degree.
Answer:
The answer is 82.2
Step-by-step explanation
hope this helps
