Answer:
Solved Examples on Angle of Depression: 1. From the top of a tower, a man finds that the angle of depression of a car on the ground is 30°. If the car is at a distance 40 metres from the tower, find the height of the tower.
Step-by-step explanation:
Shayla bought 24 cupcakes. Each cupcake cost $0.35, including tax. Of the cupcakes she bought, 2 3 2 3 were vanilla, 1 12 1 12 were chocolate, and the rest were strawberry. What was the total cost of only the vanilla cupcakes?
Answer:
[tex]Vanillas = \$5.6[/tex]
Step-by-step explanation:
Given
[tex]Cup\ Cakes = 24[/tex]
[tex]Cost = \$0.35[/tex] (each)
[tex]Vanilla = \frac{2}{3}[/tex]
[tex]Chocolate = \frac{1}{2}[/tex]
Required
Determine the cost of all vanilla cupcakes
First, we need to determine the number of vanilla cakes.
This is calculated by multiplying the fraction of Vanilla by number of cupcakes
So:
[tex]Vanilla = \frac{2}{3} * 24[/tex]
[tex]Vanilla = \frac{2 * 24}{3}[/tex]
[tex]Vanilla = \frac{48}{3}[/tex]
[tex]Vanilla = 16[/tex]
Since 1 cupcake costs $0.35.
16 would cost 16 * $0.35
So:
Vanillas: ;;;;; [tex]16 * \$0.35 = \$5.6[/tex]
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An electrician charges $45 per hour plus a fixed charge of $30. Which of these equations could be used to determine C , the cost an electrician charges for h hours worked?
What is the measure of A, in degrees?
Answer:
Um... D
Step-by-step e xplanation:
For Part A, use a piece of paper. For parts B-D, use the text box below.
A. Plot the data on a piece of paper. (make sure you label your axes and put a title). Draw a line of best fit.
B. Write an equation for the line of best fit.
C. What income would a person have if he attended school for 2 years? Explain how you got the answer.
D. How many years would you need to attend college in order to have an income of at least $50,000?
Answer:
wait you want me to answer this
Write an equation of the line that passes through each pair of points (5,-3), (2,5)
Answer:
8x+(-27)=y
Step-by-step explanation:
To find an equation of a line, you use the formula mx+b=y
M=slope
x=x cooridnates
y=y coordinates
b=y intercept
Slope:
You use the formula y2-y1/x2/x1 to find slope.
5-(-3)/2-5
5+3/-3
8/-3
8
Y intercept:
8(5)+b==3
40+b=-3
b=-37
Equation: 8x+-37=y
The equation of the line that passes through each pair of points (5,-3), (2,5) is 3y = -8x+31
What is equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
Given that, a line passes through each pair of points (5,-3), (2,5)
We know that, the equation of a line passing through two points (x1, y1) and (x2, y2) is given by,
(y-y1) = (y2-y1)/(x2-x1)(x-x1)
Where, (y2-y1)/(x2-x1) is, representing the slope of the line.
Here, x1 = 5, x2 = 2 and y1 = -3, y2 = 5
Equation of the line =
(y+3) = (5+3)/(2-5)(x-5)
y+3 = -8/3(x-5)
3y+9 = -8x+40
3y = -8x+31
Hence, The equation of the line that passes through each pair of points (5,-3), (2,5) is 3y = -8x+31
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Timmy and Sam ran in a marathon. Timmy ran at a constant speed of 5 miles per hour. Sam ran at a
constant speed of 4 miles per hour and had a head start of 2 miles. Determine where Timmy and Sam will
meet.
Answer:
they will meet 10 miles out after 2 hours
Step-by-step explanation:
If x + 12 = 40,
what is the value of x + 7
please help
Roxanne has already jarred 10 liters of jam and will jar an additional 3 liters of jam every
day. How many days does Roxanne need to spend making jam if she wants to jar 16 liters
of jam in all?
Explain please and how to do the equation
Answer:
3
My logic:
so she jars 10 on the first day (that is 1 day) and she wants to jar 16. so if you subtract 10 from 16 you get 6. Now we know she wants to jar 6 more, and if she does 3 every day then you would divide 6 by 3 and get 2. 2+1 is 3, so 3 days. (if you cant chose 3 chose 2 because your teacher might not want yo to count the first day)
Hope this helped!
What transformation moves Frame 1 to Frame 2?
A) Translation
B) Rotation
C) Reflection
D) Dilation
What is 8.89 × 1010 in standard notation?
Answer:
8978.9
Step-by-step explanation:
MULTIPLY THE THE GIVEN AND
8.89 × 1010 = 8978.9
THEN THE RESULT WOUD BE THE STANDARD NOTATION.
five less than three times a number is 1. What is the number?
Answer: 3 times a number can be written as 3x.
Five less than 3x means you must subtract 5 from 3x.
the word "is" means equals,
so 3x-5=10
Step-by-step explanation:
since it is given that 3 times a number less than five is 1
since it is given that 3 times a number less than five is 1 getting equation:- 3x-5=1
since it is given that 3 times a number less than five is 1 getting equation:- 3x-5=1 x=6/3
since it is given that 3 times a number less than five is 1 getting equation:- 3x-5=1 x=6/3 x=2
Anyone know the answer
Answer:
18 deg
Step-by-step explanation:
pi in radians = 180 deg
180/10 would be 18
hope that helps
Find the value of x and y.
Answer:
I believe it is A......
Answer:
C.)
Step-by-step explanation:
180 = 6x + (2x - 32)
212 = 8x
26.5 = x
y = 2x - 32
y = 21
Determine the seating capacity of an auditorium with 30 rows of seats if there are 20 seats in the first row, 24 seats in the second row, 28 seats in the third row, and so on
Answer:
The seating capacity of the auditorium is 2,340.
Step-by-step explanation:
This question relates to an Arithmetic Progression (AP).
An Arithmetic Progression (AP) is a sequence of numbers in which the differences of every two consecutive numbers or terms are constant or the same.
Therefore, the seating capacity can be calculated using the an arithmetic progression (AP) formula as follows:
Seating capacity = (n / 2) * (2a_1 + (n - 1)d) ...................... (1)
Where;
n = number of rows = 30
a_1 = Number seats in the first row = 20
d = Common difference = 24 - 20 = 28 - 24 = 4
Substituting the values into equation (1), we have:
Seating capacity = (30 / 2) * ((2 * 20) + ((30 - 1) * 4))
Seating capacity = 15 * (40 + (29 * 4))
Seating capacity = 15 * (40 + 116)
Seating capacity = 15 * 156
Seating capacity = 2,340
Therefore, the seating capacity of the auditorium is 2,340.
A pile of 100 $5coins is 150 mm high. One coin is______mm thick
Answer:
1.5mm
Step-by-step explanation:
100x = 150. x = height is one $5 coin
x = 150/100
x = 1.5
I really need help on this question
Answer:
B
Step-by-step explanation:
y = [tex]\frac{1}{4}[/tex] is the equation of a horizontal line, parallel to the x- axis.
A line perpendicular to it will be a vertical line parallel to the y- axis with equation
x = c
where c is the value of the x- coordinates the line passes through.
The line passes through (- 6, - 9) with x- coordinate - 6, thus
x = - 6 ← is the equation of the perpendicular line
Isaac buys a plant that is 3 inches tall. After one week the plant is 5 inches tall. After a second week the plant is 7 inches tall. At this rate, how tall will the plant be after the fifth week? a 15 inches tall b 2 inches tall c 13 inches tall d 11 inches tall
Answer:
C 13 inches
Step-by-step explanation:
Because the plant grows two inches every week so if by the second week it is 7 inches tall just add 3 more weeks or 6 inches of growth to the 7 inches and you get your answer 13 inches
x reduced by 13 is at least 15
Answer:
Step-by-step explanation:
x-13≤15
x≤28
A store is having a 20%-off sale on all merchandise. If Mai buys one item and saves $13, what was the original price of her purchase? Explain or show your reasoning.
Answer:
The original price of her purchase was $65.
Step-by-step explanation:
From the information given, you know that $13 represents 20% of the original price and you can use a rule of three to find the value that represents 100%, which would be the original pice of her purchase:
$13 → 20%
x ← 100%
x=(13*100)/20
x=1300/20
x=65
According to this, the answer is that the original price of her purchase was $65.
If E[5X - 10) = 60, what is E[X]?
Step-by-step explanation:
here,
1o
so X is equal to 10
1) What would be another way to name plane M?
(picture attached)
A. plane KJH
B. plane J
C.plane HJG
D.plane GJN
The correct answer is C plane HJG
Three drivers competed in the same fifteen drag races. The mean and standard deviation for the race times of each of the drivers are given.
- Driver A had a mean race time of 4.01 seconds and a standard deviation of 0.05 seconds.
- Driver B had a mean race time of 3.96 seconds and a standard deviation of 0.12 seconds.
- Driver C had a mean race time of 3.99 seconds and a standard deviation of 0.19 seconds.
Which driver do you predict will win the next drag race? Support your prediction using the mean and standard deviation.
Answer:
Driver B
Step-by-step explanation:
From the given options, Driver B will win the next race because the previous result shows that Driver B has the fastest race time due to the fact that it recorded the lowest mean race time.
Similarly, the standard deviation of 0.12 seconds illustrates that the driver keep-up with the bearest minimum time frame all through the entire race time.
Answer:
It is B and the other one is Driver C if you have that question
Step-by-step explanation:
Heyy guys I need help
===================================================
Explanation:
Since AE = BE, we know that triangle ABE is isosceles with A = B as the congruent base angles (it might help to rotate the triangle 90 degrees clockwise). The congruent base angles are always opposite the congruent sides of an isosceles triangle.
Focus on triangle ABE. Let's find the missing angle E.
A+B+E = 180
55+55+E = 180
110+E = 180
E = 180-110
E = 70
So angle BEA = 70 degrees
This means angle DEC is also 70 degrees. Angles BEA and DEC are congruent vertical angles.
--------------------
Now focus on triangle DEC. We just found E = 70. The diagram shows D = 34. Use these items to find C
D+E+C = 180
34+70+C = 180
104+C = 180
C = 180-104
C = 76
Angle C is 76 degrees
Answer:
hey
Step-by-step explanation:
Factor the algebraic equation
36a+20
Answer:
4(9a+5)
Step-by-step explanation:
Answer:
4(9a+5)
Step-by-step explanation:
Their common factor is 4 so divide both by 4 and put it in parentheses times 4
What is the intermediate step in the form (x + a)? = b as a result of completing the
square for the following equation?
x2 + 18x + 57 = 12
Answer:
(x + 9)² = 36
Step-by-step explanation:
Given
x² + 18x + 57 = 12 ( subtract 57 from both sides )
x² + 18x = - 45
To complete the square
add ( half the coefficient of the x- term)² to both sides
x² + 2(9)x + 81 = - 45 + 81
(x + 9)² = 36
What is the slope, m, and y-intercept for the line that is plotted on the grid?
Answer:
the slope and m is 2 and the y intercept is 4
Step-by-step explanation:
Remember y=mx+b
I need help please
Answer:
1, 2
Step-by-step explanation:
An easy way to find the solution to a system of linear equations is to just replace it with x and y.
1, 2
1+2=3(x+y+3)
2+10=12(2x+5y=12)
Answer:
(1,2)
it's correct answer....be sure it's correct
Help!!!
By rounding each number to 1sf. Estimate the answer to 7.238 × 125.5413
Answer:
909
Step-by-step explanation:
I'm not sure if I'm right plz tell me if I'm wrong
Help megagaagsgsh fdndjfjdd
Step-by-step explanation:
a) The graph shows how many adults and youths attended the movies on Friday, Saturday and Sunday.
b) On Friday, more adults attended the movies then youths. On Saturday and Sunday, more youths attended the movies then Adults.
c) 1) Saturday is the most popular day to go to the movies because there was 500 adults and 650 youths for a total of 1150 people. Friday had 950 people and Sunday had 800 people.