Answer:
Step-by-step explanation:
tan(16)=125/a
tan(16)=35.8 (DC)
tan(7)=125/a
tan(7)=15.3
35.8-15.3=20.5
Sorry if that's incorrect, my best is 20.5 feet.
======================================================
Work Shown:
Let
x = length of AD in feet
y = length of DC in feet
x and y are positive real numbers.
For now, focus on triangle BCD. Ignore point A and its associated angle.
tan(angle) = opposite/adjacent
tan(D) = BC/DC
tan(16) = 125/y
y*tan(16) = 125
y = 125/tan(16)
y = 435.926805480113
y = 435.926805
The value of y is approximate
Now focus on triangle ABC. Ignore point D and its associated angle.
tan(angle) = opposite/adjacent
tan(A) = BC/AC
tan(A) = BC/(AD+DC)
tan(7) = 125/(x + y)
(x+y)*tan(7) = 125
x*tan(7) + y*tan(7) = 125
x*tan(7) = 125 - y*tan(7)
x = ( 125-y*tan(7) )/( tan(7) )
x = ( 125-435.926805*tan(7) )/( tan(7) )
x = 582.116498496824
x = 582
The distance from A to D is approximately 582 feet.
A bag has 5 yellow marbles 3 red marbles and 2 blue marbles.Quinn randomly picks a marble from bag and returns it before another is picked. How many times would quinn expect to pick a blue marble if he picks a marble 200 times
Answer:
40 times
Step-by-step explanation:
5+3+2=10
10(x)=200
x=20
PLEASE HELP STAT WILL MARK BRAINLIEST!
Mr. Lee has 67 rubber stamps. He wants to give the same number of stamps to each of his 8 students. If he gives away as many stamps as he can, how many stamps will be leftover? [remainder]
Answer:
3
Step-by-step explanation:
To give the same amount of stamps to each student you would divide 67 by 8. Dividing would give each students 8 stamps because you can only equally divide it to 64 (EX, 64/8=8). This leaves you with 3 stamps leftover, because we only used 64 equally and 67-64=3.
Answer:
He can give each of his students 8 stamps.
With 3 stamps left over.
Step-by-step explanation:
Hope this helps!
Help me pleaseeeeeeeeeeeeeee
Answer:
the second one
Step-by-step explanation:
Answer:
2nd
Step-by-step explanation:
The 2nd one is the correct one because it is true and that is the best way to get your solution.
Hope this helps:)
Pls mark brainly
PLEASE HELP ME!!!!!! Write the information in the table as ordered pairs. Graph the relationship from the table.
Answer:
(3, 60) (5, 100) (8, 160) (9, 180) (12, 240)
Step-by-step explanation:
There are 82 chairs at a birthday party. The chairs need to be lined up in equal-sized rows. How many possible ways can the chairs be lined up?
Explain your answer using complete sentences.
Answer:
2 rows of 41
Step-by-step explanation:
....... i think
I have the same question, and I have nothing in my brain....-_-''
In a small private liberal arts college, 40 percent of the students receive financial aid, and 30 percent of the students that receive financial aid also are first generation college students. In addition, 25 percent of the students in the college own a hybrid car. What is the probability that a randomly selected student receives financial aid and is first generation college student
Answer:
P(A∩B) = 0.12
Step-by-step explanation:
Given:
Students receive financial aid P(A) = 40% = 0.4
Students receive financial aid and first generation P(B/A) = 30% = 0.3
Find:
Probability [Selected student receives financial aid and is first generation college student] P(A∩B)
Computation:
P(A∩B) = P(A) x P(B/A)
P(A∩B) = 0.4 x 0.3
P(A∩B) = 0.12
Simplify the expression.
5(2) + 2(4 + 3)
21
24
84
140
Answer:
24
Step-by-step explanation:
5(2) + 2(4 + 3)
5 x 2 + 2 x 7
10 + 14 = 24
Here you go! :D
what is the solution of the following? *
-4 = 16
Infinite solutions
no solution
Answer: no solution
Hope this helps and good luck :)
Step-by-step explanation:
Joshua has a bag of marbles. In the bag are 5 white marbles, 3 blue marbles, and 7 green marbles. Peter randomly draws one marble, sets it aside, and then randomly draws another marble. What is the approximate probability of Peter drawing out two green marbles
Answer:
1 / 5
Step-by-step explanation:
Given that:
Number of white marbles = 5
Number of blue marbles = 3
Number of green marbles = 7
Required is the approximate probability of drawing 2 green marbles, Note that drawing is done without replacement :
Probability = required outcome / Total possible outcomes
Total possible outcomes = sum of all marbles = (5 + 3 + 7) = 15 marbles
First draw:
P(Green) = 7 / 15
Second draw:
Required outcome = 7 - 1 = 6
Possible outcomes = 15 - 1 = 14
P(green) = 6 / 14
Probability of drawing out two green marbles :
(7/15 * 6/14) = 42 / 210 = 1 / 5
Choose the one alternative that best completes the statement or answers the question
Answer:
B) 60
Step-by-step explanation:
5*2*3*2=60 types by multiplying all the categories together.
a square and rectangle are shown below the width of the rectangle is the same length at a side of the square both represented by x the length of the rectangle is one foot more than twice its width the perimeter of the rectangle is 26 feet more than that of the square write an expression for the length of the rectangle in terms of x label of the drawing
Answer:
The answer for the length of the rectangle in terms of x is 2x+1=26
Step-by-step explanation:
ASAP please help me I need this quick
The question and answers are in the picture
Answer:
25
Step-by-step explanation:
maybe this will help you
Answer:
C. 125 cm^3
Step-by-step explanation:
Hope this helps!! Brainliest please :)
You and your friend play an arcade game. You score 5 points for every 9 points that your friend scores. You score 320 points less than your friend. How many points do you each score?
Answer:
400 ; 720
Step-by-step explanation:
Given that :
My score = 5 point for every 9 points scored by my friend ; hence my score is always 4 points less than my friend's score.
Let number of shot = x
Also my score x is 320 less than my friend's score
Hence after x shots
My score = friend's score - 320
5x = 9x - 320
5x - 9x = - 320
-4x = - 320
x = 80
Hence ;
My score = 5x = 5* 80 = 400
My &friend's score = 9 * 80 = 720
You are going to attend night classes for 4 months. You have to earn an additional $987 for tuition within this time. You decide to take a second job that pays $9 dollars an hour. You can work as many hours for this job as you like. Taxes are 12% of your earnings, and you are able to save the rest. Over these 4 months, what is the minimum number of hours you will need to work in order to save enough money for your tuition alone? Round your answer to the nearest hour.
Answer:
10.80
Step-by-step explanation:
12% of $9 dollars is $1.08 rounded is 1.080
btw if this was a real job id quit even though im in 6th
The minimum number of hours you will need to work in order to save enough money for your tuition alone is 125 hours.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
You are going to attend night classes for 4 months. You have to earn an additional $987 for tuition within this time.
You decide to take a second job that pays $9 dollars an hour.
Taxes are 12% of your earnings, and you are able to save the rest.
Let x be the minimum number of hours you will need to work in order to save enough money for your tuition alone.
From the data given, we can frame a linear equation in one variable.
987 = 9x - 12% of 9x
987 = 9x - (0.12)(9)x
987 = 9x - 1.08x
7.92x = 987
x = 987/7.92
x = 124.62 ≈ 125 hours
Thus, the minimum number of hours you will need to work in order to save enough money for your tuition alone is 125 hours.
Learn more about the linear equation here:
brainly.com/question/11897796
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Simplify 5(2 - 7n) =
Answer:
10-35n=?
Step-by-step explanation:
This would be in simplest form
Answer:
10 - 35n
Step-by-step explanation:
Step 1:
5 ( 2 - 7n ) Equation
Step 2:
( 5 × 2 ) - ( 5 × 7n ) Multiply
Answer:
10 - 35n
Hope This Helps :)
7) Wnte a linear function in
slope intercept form that
passes through the point (2, 3)
and has a slope of 4
Please help me
Solve the inequality.
12 - }>8-23
Answer:
Letter D
Step-by-step explanation:
D KO PO SURE SORRY PO KUNG MALI ✌
Suppose you have two six-sided dice where each side is equally likely to land face up when rolled. What is the probability that you will roll doubles?
Answer:
1/3 of chance
The probability that you will roll doubles will be 1/36.
What is probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Probability = Number of favourable outcomes / Number of sample
Given that you have two six-sided dice where each side is equally likely to land face up when rolled.
The favourable outcomes are {2,2} = 1.
Total outcomes = 36
The probability will be calculated as,
Probability = 1 / 36
To know more about probability follow
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What is the answer, Please Help.
Answer:
r=144
Step-by-step explanation:
Cross multiply:
12 * 60 = r * 5
Simplifying
12 * 60 = r * 5
Multiply 12 * 60
720 = r * 5
Reorder the terms for easier multiplication:
720 = 5r
Solving
720 = 5r
Solving for variable 'r'.
Move all terms containing r to the left, all other terms to the right.
Add '-5r' to each side of the equation.
720 + -5r = 5r + -5r
Combine like terms: 5r + -5r = 0
720 + -5r = 0
Add '-720' to each side of the equation.
720 + -720 + -5r = 0 + -720
Combine like terms: 720 + -720 = 0
0 + -5r = 0 + -720
-5r = 0 + -720
Combine like terms: 0 + -720 = -720
-5r = -720
Divide each side by '-5'.
r = 144
Simplifying
r = 144
Answer:
r=144
Step-by-step explanation:
We need to find r. To do that me must make the top numbers the same.
We'll multiply
[tex] \frac{12}{r} \times \frac{5}{5 } = \frac{60}{5r} [/tex]
[tex] \frac{5}{60} \times \frac{12}{12} = \frac{60}{720} [/tex]
Since the top numbers are equal that means the bottoms are too.
So we can create the equation:
[tex]5r = 720[/tex]
Divide each side by 5
r=144
Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!
What is the value of the function at x = 22 Enter your answer in the box .please help.
Answer:
its gonna be whatever the y value is when x is 22
Step-by-step explanation:
I need help with problem 8 with work shown and explanation
ASAP PLEASE!!!!!!!!
Answer:
6 movies = 1st plan
7 movies = 1st plan
8 movies = Either is fine. (They're the same price)
9 movies = 2nd plan
10 movies = 2nd plan
Step-by-step explanation:
6 movies (1st plan) = 20 + 5 × 6
= 50 (less than 60 so it is cheaper)
7 movies (1st plan) = 20 + 5 × 7
= 55 (less than 60 so it is cheaper)
8 movies (1st plan) = 20 + 5 × 8
= 60 (same as 2nd plan so either is fine)
9 movies (1st plan) = 20 + 5 × 9
= 65 (more than 60 so 2nd plan is better)
10 movies (1st plan) = 20 + 5 × 10
= 70 (more than 60 so 2nd plan is better)
The graph below shows where the two functions y = f(x) and y = g(x) intersect. Solve the equation f(x) = g(x).
The solutions of the equation f(x) = g(x) are (4, 8) and (-2, 2).
We have a graphical representation of two functions f(x) and g(x) and where they intersect.
We have to solve the equation f(x) = g(x)
Two functions A(x) and B(x) are plotted on the graph such that these these two functions intersect each other at three different coordinates. The total number of solutions possible for - A(x) = B(x) is ?The total number of solutions can be calculated by counting the points at which these curves intersect each other. Hence, the total number of possible solutions are 3.
In the question given - We have a straight line and a parabola -
Now, we just have to look at the points at which these two graphs intersect each other. It can be seen that - both the graphs cut each other at coordinates - (4, 8) and (-2, 2).
Hence, the solutions of the equation f(x) = g(x) are (4, 8) and (-2, 2).
Alternative Method -
The general equation of straight line is : y = mx + c and that of parabola is : y = [tex]\sqrt{4ax}[/tex]
The solution can be calculated by equating both of the above expressions and solving them.
mx + c = [tex]\sqrt{4ax}[/tex]
To solve more questions on solving the equations, visit the link below -
https://brainly.com/question/1386163
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Answers :
A:25
B:9
C:5
D:4
Answer:
B:9
Step-by-step explanation:
Y=-1/4x +9 what is the slope and y - intercept
Answer:
The slope is -1/4 and the y intercept is at (0, 9)
Step-by-step explanation:
In the equation y = mx + b, m is the slope and b is the y intercept.
Since -1/4 is the coefficient to x in the equation, the slope is -1/4.
Since there is a +9 at the end of the equation, the y intercept is (0, 9).
So, the slope is -1/4 and the y intercept is at (0, 9)
HELP!
Mylo started making this graph to relate the number of hours he works with the amount of money he is paid.
A point representing which information could be added to the graph to show a proportional relationship?
A. $16 for working 2 hours
B. $36 for working 4 hours
C. $40 for working 5 hours
D. $58 for working 6 hours
Answer:
the answer is B. $36 for working 4 hours
Step-by-step explanation:
took the test.
Answer:
B
Step-by-step explanation:
the first person was right i also got it on the test
Damian has a mask collection of 500 masks he keeps 64% of the masks on his wall. How many masks does he keep on his walk?
Answer:
he has 320 masks on his wall
What is the coefficient in the following expression?
5a2 - 7
Answer:
5 is the coefficient
Step-by-step explanation:
Solve the inequality. 2(4x – 3)-3(3x) + + 5x?
Answer:
2 (2 x - 3)
Step-by-step explanation:
Simplify the following:
2 (4 x - 3) - 3×3 x + 5 x
-3×3 = -9:
2 (4 x - 3) + -9 x + 5 x
Grouping like terms, 2 (4 x - 3) - 9 x + 5 x = 2 (4 x - 3) + (5 x - 9 x):
2 (4 x - 3) + (5 x - 9 x)
5 x - 9 x = -4 x:
2 (4 x - 3) + -4 x
2 (4 x - 3) = 8 x - 6:
8 x - 6 - 4 x
Grouping like terms, 8 x - 4 x - 6 = (8 x - 4 x) - 6:
(8 x - 4 x) - 6
8 x - 4 x = 4 x:
4 x - 6
Factor 2 out of 4 x - 6:
Answer: 2 (2 x - 3)
Question 5
5 pts
Let f(x)
40e^.06t. What is the average rate of change of f over the
interval [0,3]? Give your answer as a decimal with one place of
accuracy to the right of the decimal point.
Answer:
[tex]R= 2.6[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 40e^{.06t[/tex]
[tex][a,b] = [0,3][/tex]
Required
Determine the average rate of change (R)
This is calculated as follows:
[tex]R = \frac{f(b) - f(a)}{b - a}[/tex]
Where
[tex]a = 0[/tex] and [tex]b = 3[/tex]
Substitute 0 for a and 3 for b
[tex]R = \frac{f(3) - f(0)}{3 - 0}[/tex]
[tex]R = \frac{f(3) - f(0)}{3}[/tex]
[tex]R = \frac{1}{3}[f(3) - f(0)][/tex]
Calculate f(3)
[tex]f(x) = 40e^{.06t[/tex]
[tex]f(3) = 40e^{.06*3}[/tex]
[tex]f(3) = 40e^{0.18}[/tex]
[tex]f(3) = 40 * 1.197[/tex]
[tex]f(3) = 47.88[/tex]
Calculate f(0)
[tex]f(x) = 40e^{.06t[/tex]
[tex]f(0) = 40e^{.06*0}[/tex]
[tex]f(0) = 40e^{0}[/tex]
[tex]f(0) = 40*1[/tex]
[tex]f(0) = 40[/tex]
So, the expression:
[tex]R = \frac{1}{3}[f(3) - f(0)][/tex]
[tex]R= \frac{1}{3}[47.88 - 40][/tex]
[tex]R= \frac{1}{3}[7.88][/tex]
[tex]R= 2.62666666667[/tex]
[tex]R= 2.6[/tex]
Hence, the average rate of change is approximately 2.6
Evaluate the given expression for x=-14. -3x-5
Answer:
The answer is: 37
Step-by-step explanation:
The reason its this answer because first thing you have to do is the order operations Please Excuse My Dear Aunt Sally, since there is no parenthesis, or exponents we cross those out. Since, there is multiply we put in -14 where is x.
-3x-5=-3(-14)=5
Next, we multiply -3 and -14 and we get:
42, there reason its not a negative because two negatives equal to a positive.
There is Division or Addition, those are out. The only thing that is left Subtraction... So we are going to subtract 42-5 which equals;
37
I hope my answer helps!!