Jason sees a tall building from across town. He
turns 90° and walks 100 yards. Jason then turns to
face the building, and the angle between his line
of sight and his path is 35º as shown below. Which
of the following is the closest to the distance from
Jason's original position to the building, in yards?
Answers
Answer:
Jason's original position is 70.02 yards, or 70 yards
Step-by-step explanation:
These types of questions are understood better when drawn out.
Related Questions
According to a PNC Financial Independence Survey released in March 2012, today’s adults in their 20’s “hold an average debt of about $45,000, which includes everything from cars to credit cards to student loans to mortgages. (USA TODAY, April 24, 2012). Suppose that the current distribution of debts of all U.S. adults in their 20’s has a mean of $45,000 and a standard deviation of $12,720. Find the probability that the average debt of a random sample of 144 U.S. adults in their 20’s is: a) Less than $42,600 b) More than $46,240 c) $43,190 to $46,980
Answers
Using the normal probability distribution and the central limit theorem, it is found that the probabilities are given by:
a) 0.0119 = 1.19%.
b) 0.121 = 12.1%.
c) 0.9257 = 92.57%.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].In this problem:
The mean is of [tex]\mu = 45000[/tex].The standard deviation is of [tex]\sigma = 12720[/tex].A sample of 144 is taken, hence [tex]n = 144, s = \frac{12720}{\sqrt{144}} = 1060[/tex].Item a:
The probability is the p-value of Z when X = 42600, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{42600 - 45000}{1060}[/tex]
[tex]Z = -2.26[/tex]
[tex]Z = -2.26[/tex] has a p-value of 0.0119.
The probability is of 0.0119 = 1.19%.
Item b:
The probability is the 1 subtracted by the p-value of Z when X = 46240, hence:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{46240 - 45000}{1060}[/tex]
[tex]Z = 1.17[/tex]
[tex]Z = 1.17[/tex] has a p-value of 0.879.
1 - 0.879 = 0.121.
The probability is of 0.121 = 12.1%.
Item c:
The probability is the p-value of Z when X = 46980 subtracted by the p-value of Z when X = 43190, hence:
X = 46980:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{46980 - 45000}{1060}[/tex]
[tex]Z = 1.87[/tex]
[tex]Z = 1.87[/tex] has a p-value of 0.9693.
X = 43190:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{43190 - 45000}{1060}[/tex]
[tex]Z = -1.71[/tex]
[tex]Z = -1.71[/tex] has a p-value of 0.0436.
0.9693 - 0.0436 = 0.9257.
The probability is of 0.9257 = 92.57%.
To learn more about the normal probability distribution and the central limit theorem, you can check https://brainly.com/question/24663213
A prism is completely filled with 80 cubes that have edge length of 1/2 cm
What is the volume of the prism?
Enter your answer in the box.
cm3
Answers
The answer is 40cm in cube 3
100 points! need asp tho
Answers
A house plan shows a scale of 1 : 40. If the rectangular lounge room of the house is to measture 4.5 metres by 6.3 metres, what is the area of the lounge room on the plan
Answers
actual area is (4.5)x(6.3)=28.35meters^2
using 1:40 ratio 1/x=40/28.35
Your car gets about 20 miles per gallon. You are planning to drive to
who live about 850 miles away. How many gallons of gas will you need to purchase to make the trip to see your friends and to return home?
Answers
Answer:
42.5 or 43
Step-by-step explanation:
Since you need to travel 850 miles, and you can travel 20 miles per gallon, you should divide 850 by 20 to get the number of gas cans needed. In doing so, you get 42.5 gas cans, but since it may be asking for whole cans rather than part of a gas can, you might want to write 43 instead. If you were to round down to 42, you would not have enough gas to finish the trip, so you should round up to 43. So, it is up to you if you want to write 42.5 or 43.
Hope this helped somewhat! ;(
Find all values of y such that the distance between (1. y) and (-3. - 6) is 5 units. Express numbers as integers, simplified fractions, or radicals.
Answers
Answer:
Step-by-step explanation:
Distance = d
d² = [1 - (-3)]² + [y - (-6)]²
5² = 16 + (y + 6)²
25 = 16 + (y + 6)²
(y + 6)² = 25 - 16 = 9
y + 6 = ±3
y = -6 ±3
so
y = -3 or -9
what is 3x +5+4 (x+2) +2
Answers
Answer:
4x+13
Step-by-step explanation:
Answer:
7x+15
Step-by-step explanation:
Mari's watch gains 3 minutes every hour. Find the percentage error in Mari's watch at the end of one hour.
I will give you a boba drink if you answer :D <3
Answers
Answer:
Mari watch died of eating Boba drinks
Pls help with this math
Answers
Answer:
44.58
Step-by-step explanation:
[tex]v=\frac{4}{3}\pi r^{3}\\ given r= 2.2\\\pi =3.14\\hence:v=\frac{4}{3} (3.14)(2.2)^3=44.58[/tex]
9 Yuki and Roman are photographers for the yearbook. Yuki starts with 20 photos.
She then takes 60 photos each week. Roman starts with 110 photos. He then takes
35 photos each week. After how many weeks will Yuki and Roman have taken the
same number of photos? Write a system of equations that can be used to solve the
problem. Write your answers in the blanks.
P=
W +
p=
W +
Answers
Yuki
y = 60x + 20
(total = 60 photos a week * x weeks + 20 starting photos)
Roman
y = 35x + 110
(total = 35 photos a week * x weeks + 110 starting photos)
So the system of equations for this problem is:
y = 60x + 20
y = 35x + 110
Ms. Williams asked her class if they prefer doing their homework before school to students who prefer doing homework after school is 7:15 what does the ratio 7/22
Answers
Answer:
The number of students that prefer to do homework from the group of all students
Step-by-step explanation:
The question says that the ratio between the student who prefer doing homework before school and the students who prefer doing homework after school is 7:15.
That means 7 students prefer doing homework before school and 15 students prefer doing after school.
In this scenario, the total number of students is 7 + 15 i.e. 22
So the percentage 7/22 is the number of students that prefer to do homework before school from the group of all students
please answer the question I give you 50 point
Answers
Volume = Length * Width * Height
Box A
V = 13 * 40 * 5
V = 2600 cm^3
Box B
V = 8 * 10 * 25
V = 2000 cm ^3
Box C
V = 11 * 20 * 30
V = 6600 cm ^3
Since 7400, the cubes trying to be packed, is bigger than any of the volumes of the boxes, 2 boxes must be used
The boxes with volumes that add up to a number greater than 7400 are Box C with Box A or B (either works, as long as C is one of them)
The total volume of the boxes together can be found with simple addition
2600 + 2000 + 6600 = 11200 cm ^3
Answer:
First, you find the volume of each box
Volume = Length * Width * Height
Box A
V = 13 * 40 * 5
V = 2600 cm^3
Box B
V = 8 * 10 * 25
V = 2000 cm ^3
Box C
V = 11 * 20 * 30
V = 6600 cm ^3
Since 7400, the cubes trying to be packed, is bigger than any of the volumes of the boxes, 2 boxes must be used
The boxes with volumes that add up to a number greater than 7400 are Box C with Box A or B (either works, as long as C is one of them)
The total volume of the boxes together can be found with simple addition
2600 + 2000 + 6600 = 11200 cm ^3
Which of the rulers are similar in shape? Explain.
Answers
What is the area of this figure
• 58m2
• 68m2
• 90m2
• 98m2
Answers
Answer:
[tex]\huge\boxed{\sf 58\ m\²}[/tex]
Step-by-step explanation:
The figure is made up of two rectangles.
Larger rectangleSmaller rectangleArea of the larger rectangle:
Length = 5 m
Width = 10 m
= Length × Width
= 5 × 10
= 50 m²
Area of smaller rectangle:
Length = 4 m
Width = 2 m
= Length × Width
= 4 × 2
= 8 m²
Area of the figure:
= Area of larger rectangle + Area of smaller rectangle
= 50 + 8
= 58 m²
[tex]\rule[225]{225}{2}[/tex]
task 486 angles in a triangle
Answers
Answer:
Angles in a triangle adds to 180
Step-by-step explanation:
Hope this helps!
Coach Lopez wants to divide his soccer team into smaller, equal-sized groups of players for practice He notices that he can divide his team evenly into groups of 3 Complete the statements below about the number of players on Coach Lopez's team en form smaller equal-size groups because the number of students on his team is the number of players on the team has factors ould possibly have ✓ players on his team 19 21 or 23
Answers
Answer: Coach Lopez wants to divide his soccer team into a smaller, equal-sized group of players for practice. He noticed that he divided his team evenly into groups of 3.
Coach Lopez can form smaller equal-sized groups because the number of students on his team is a prime number.
This means that the number of players on the team has three factors.
Coach Lopez could possibly have 12 players on his team.
solve the simultaneous equations
Answers
Answer:
Step-by-step explanation:
2x + 3y = 2
x = 2 - 3y /2
x + y = 0
substitute the value of x
[tex]\frac{2 \\- 3y}{2}[/tex] + y = 0
2 - 3y + 2y = 0
2 = y
again,substitute the value of y
x = 2 - 3y / 2
=2 - 3*2 / 2
=2 - 6 / 2
=-2
Answer:
x = 2, y = -2
Step-by-step explanation:
This is an alternate way. You can also solve simultaneous equations using matrices. First, rewrite the simultaneous equations in matrix form.
[tex]\displaystyle \large{\left[\begin{array}{ccc}2&3\\1&1\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] =\left[\begin{array}{ccc}2\\0\end{array}\right]}[/tex]
Let:
[tex]\displaystyle \large{A= \left[\begin{array}{ccc}2&3\\1&1\end{array}\right]}\\\displaystyle \large{X = \left[\begin{array}{ccc}x\\y\end{array}\right]}\\\displaystyle \large{B =\left[\begin{array}{ccc}2\\0\end{array}\right]}[/tex]
So now we have [tex]\displaystyle \large{AX = B}[/tex] and we have to solve for X which:
[tex]\displaystyle \large{A^{-1}AX = A^{-1}B}\\\displaystyle \large{X = A^{-1} B}[/tex]
Where:
[tex]\displaystyle \large{A^{-1}=\frac{1}{ad-bc}\left[\begin{array}{ccc}d&-b\\-c&a\end{array}\right]}[/tex]
**ad-bc is determinant of 2*2 matrices and shortened as det(var) or |var|**
Therefore, from A:
a = 2b = 3c = 1d = 1Find detA:
[tex]\displaystyle \large{\det A = |A| = ad-bc = 2(1)-3(1) = 2-3 = -1}[/tex]
Therefore, detA = -1. Hence:
[tex]\displaystyle \large{A^{-1}=-1\left[\begin{array}{ccc}1&-3\\-1&2\end{array}\right]}[/tex]
And [tex]\displaystyle \large{X = A^{-1}B}[/tex]:
[tex]\displaystyle \large{X = -1\left[\begin{array}{ccc}1&-3\\-1&2\end{array}\right] \left[\begin{array}{ccc}2\\0\end{array}\right] }[/tex]
Evaluate the matrices:
[tex]\displaystyle \large{X = -1\left[\begin{array}{ccc}1 \cdot 2-3 \cdot 0\\-1 \cdot 2+2\cdot 0\end{array}\right] }\\\displaystyle \large{X = -1\left[\begin{array}{ccc}2-0\\-2+0\end{array}\right] }\\\displaystyle \large{X = -1\left[\begin{array}{ccc}2\\-2\end{array}\right] }\\\displaystyle \large{X = \left[\begin{array}{ccc}-2\\2\end{array}\right] }\\\displaystyle \large{\left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}-2\\2\end{array}\right] }[/tex]
Therefore, x = -2 and y = 2.
Determine whether the graph below is that of a function by using the vertical-line
test. If it is, use the graph to find
(a) its domain and range.
(b) the intercepts if any.
(C) any symmetry with respect to the x-axis, y-axis, or the origin.
Answers
algebra 2
I have no idea what to do please explain
Answers
Answer:
So basically what you have to is divide the log as you see the word quotient, therefore you need to take log^6 30 and divide 30 by 5 which will give you 6 right. Do you understanding so far? Moreover, you see log^6 2 so 15x2=30 it just basically itself breaking down.
I need help with all these 5 questions please please help me with these questions
Answers
Answer:
1. (4,5) 2. D 3. J 4.D 5. 64.8 oz
Step-by-step explanation:
math
what is the value of the expression 9(5)-x/y
when x= 15 and y=3
a.)5
b.)10
c.)15
d.)20
Answers
Answer:
(B) 10
Step-by-step explanation:
x = 15
y = 3
---------------------------------
9(5) - x / y =
45 - 15 / 330 / 310 (B)The value of the given expression [tex]\dfrac{9(5)-x}{y}[/tex] is 10 when x = 15 and y = 3. So, the correct answer is (b) 10.
An expression is a combination of numbers, variables, mathematical operations, and many more.
To obtain the value of the given expression, the values of x and y will be inserted in the expression and the concepts of PEMDAS will be used.
Let's assume that the given expression is as follows:
[tex]z = \dfrac{9(5)-x}{y}[/tex]
Substitute x = 15 and y = 3 in the given expression:
[tex]z = \dfrac{9(5)-x}{y}\\z = \dfrac{9(5)-15}{3}\\z = \dfrac{45-15}{3}\\z = \dfrac{30}{3}\\z = 10[/tex]
Therefore, option (d) is correct, i.e., for x = 15 and y = 3, the value of the given expression is 10.
Learn more about Expressions here:
https://brainly.com/question/34132400
#SPJ3
A real life scenario could be like earning 15 dollars.
need written response
Answers
Answer:
Step-by-step explanation:
first of all you need to do is make a lemonade stand and make the lemonade taiste good then you can sell it for 15 dollars which is a good price to get you started with your life
Write the inequality shown in the diagram on the left.
Answers
Answer:
x<3
Step-by-step explanation:
The answer is x<3.
If the point were filled it would be one of these for example ≥
Which triangle has hypotenuse Side B F?
A cube. The top face has points G, B, C, F and the bottom face has points H, A, D, E.
triangle BFE
triangle BFH
triangle BFD
triangle BFG
PLEASE HELP!
Answers
Answer:
BFG
Step-by-step explanation:
The segment BF is the diagonal of the top face of the cube (GBCF)
Therefore, it is the hypotenuse of ΔBFG and ΔBFC
See attached diagram for visual of the cube.
What is the equation of the blue line?
Answers
Answer:
y = 1/4x + 1Step-by-step explanation:
There will be a +1 becuase the lines y intercept is +1.
We can then take two points on the line and then find the slope through them.
(0,1) and (4,2). 4-0 and 2-1.
4 and 1. The slope is 1/4.
y = mx + b
y = 1/4x + 1
What is the measure of angle DBA?
1.) 39
2.) 69
3.) 59
4.) 49
Answers
Answer:
3.
Step-by-step explanation:
Since angle DBC and DBA are supplementary (they add up to a straight angle-180 degrees) we can subtract 121 from 180 and find out the answer of angle DBA.
Answer:
3.............
................
Con los datos que proporciona Alicia te da el número complejo z2=-2-2i. Debes obtener el opuesto, el conjugado y el afijo?
Answers
Considerando la definición de número complejo, su opuesto, conjugado y afijo, siendo z= -2-2i, se obtiene:
el opuesto es z= 2 +2iel conjugado es z= -2+2iel afijo es: (-2,-2)Definición de número complejoLos números complejos son combinaciones de números reales y números imaginarios. Su representación más común es la suma de una parte real y una parte imaginaria. Al mismo tiempo, la parte imaginaria se divide entre la parte imaginaria y la unidad imaginaria.
Esto es: z= a +bi
donde:
a es un número real. b es la parte imaginaria. i es la unidad imaginaria. Opuesto de un número complejoDado un número complejo z = a+bi, se llama opuesto de z al número -z = -a-bi.
Esto es, el opuesto de un número complejo se calcula cambiando el signo de la parte real y de la parte imaginaria.
Conjugado de un número complejoDado un número complejo z = a+bi, se llama conjugado de z al número z = a-bi.
Esto es, el conjugado de un número complejo se obtiene al cambiar el signo de la parte imaginaria.
Afijo de un número complejoLos números complejos se representan mediante vectores. Al extremo del vector se le llama afijo del complejo. Esto es, el afijo del número complejo z=a +bi es (a,b)
Opuesto, conjugado y afijo de z=-2-2iConsiderando las correspondientes definiciones:
el opuesto es z= 2 +2iel conjugado es z= -2+2iel afijo es: (-2,-2)Aprende más sobre números complejos:
https://brainly.com/question/5564133
Carly spends 9 hours each day working at her job. What percentage of her day does she spend at work?
Answers
Answer: 37.5%
Step-by-step explanation:
what is 613157 rounded to the nearest hundred thousand
Answers
Answer:
600,000
Step-by-step explanation:
Your answer would be 600,000 because in the hundred thousands place there is a 6.
And that 6 in the hundred thousands place is asking the ten thousands place for help also the digit in the ten thousands place is a 1.
So if you know the rule the 6 can't round up because the 1 is below 4./the rule is 4 and below keep it low 5 or more give it one more.
Ok so the 1 is below 4 and can't bring 6 up so 6 has to stay in it's lane at 600,000
Hope this helps have a great afternoon:)
Answer:
Its 600000
Step-by-step explanation:
Hundred thousand refers to 6 numbers so we look at the number after 6 and its less than 5 so we round it back to 0
Terry is making 3 hat and scarf sets. Each scarf requires 2 yards of material and each hat requires 30 inches
of material.
How many feet of material does he need for all 3 hat and scarf sets?
He will need
feet of material for all 3 hat and scarf sets.
Answers
Answer: 25.5 feet
Step-by-step explanation:
if each hat requires 30 inches of material, then 3 hats will require 3(30) = 90 inches.
if each scarf requires 2 yds of material, then 3 scarfs will need 3(2) = 6 yds.
The question wants us to give our answer in feet, so we will be converting:
Using 12in = 1ft:
90 in = 90/12 feet = 7.5 feet
Using 1 yd = 3 ft:
6 yds = 6(3) = 18 feet.
Now that the units are the same, we can add them up to get our answer:
7.5 + 18 = 25.5 feet
So Terry will need 25.5 feet of material to make 3 sets of hat and scarves.