Determine the angles A and B given the following information:
a=15
b=22
Answers
Answer:
B ≈ 55. 71°
A = 34.29°
Step-by-step explanation:
The picture demonstrate on how you could solve the angles of A and B in a triangle with a given sides a and b. Angle C is a 90° .That makes the triangle a right angle triangle.
Let us find angle B
using SOHCAHTOA principle
tan B = opposite.adjacent
tan B = b/a
tan B = 22/15
tan B = 1.46666666667
B = tan⁻¹ 1.46666666667
B = 55.7131230228 °
B ≈ 55. 71°
Let us find angle A
The sum of angle in a triangle = 180° Therefore, the angle A can be solved when you subtract angle C and B from 180°.
angle A = 180° - 90° - 55.71°
angle A = 34.29°
Related Questions
The students in Marly’s math class recorded the dimensions of their bedrooms in a frequency table.
2-column table with 5 rows. First column labeled area (square feet) with entries 60 is less than or equal to A is less than 80, 80 is less than or equal to A is less than 100, 100 is less than or equal to A is less than 120, 120 is less than or equal to A is less than 140, 140 is less than or equal to A is less than 160. Second column labeled number of rooms with entries 4,6,5,3,1.
Create a histogram to represent the data. Which statement is most likely true about the mean and the median of the data?
The histogram is right-skewed, so the mean is less than the median.
The histogram is right-skewed, so the mean is greater than the median.
The histogram is left-skewed, so the mean is less than the median.
The histogram is left-skewed, so the mean is greater than the median.
Answers
Answer:
The histogram is right-skewed, so the mean is greater than the median.
Step-by-step explanation:
The true statement about the mean and the median of the data is that: B. histogram is right-skewed, so the mean is greater than the median.
What is a histogram?A histogram refers to a type of chart that is used to graphically represent and display a set of data points into user-specified ranges, especially through the use of bars (rectangles).
Based on the distribution table, we can deduce the following points:
The frequencies of the bedroom areas are not equal.The frequencies of the first three bedroom areas are greater than the last two (2) areas, which implies that there would be more data on the left side.This ultimately implies that, the distribution of data on the histogram is right-skewed and as such the mean is greater than the median.
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Anna is asked to find a common multiple of 9 and 29. Which number could be the multiple?
Answers
Answer:
261
Step-by-step explanation:
LCM(9, 29)
= 3 × 3 × 29
= 261
Answer: The Greatest Common Multiple is 1 and the Least Common Multiple is 261
Step-by-step explanation:
Chandler needed 10 gallons of gas last week. This week, Chandler ended up needing 60% more than that amount.How much gas is that
Answers
Answer:
16 gallons total
Step-by-step explanation:
60% of 10 is 6
6 plus the original 10 is 16
Please make me the brainliest
Answer:
16
Step-by-step explanation:
How many seconds will it take the object to reach the ground?
Answers
It will take approximately 5.05 seconds for the object to reach the ground.
Explanation:In order to determine how long it will take an object to reach the ground, we need to consider the height from which the object is dropped. Let's assume the height is 75.0 m.
The time it takes for an object to fall to the ground can be calculated using the equation t = sqrt(2h/g), where t is the time, h is the height, and g is the acceleration due to gravity (approximately 9.8 m/s^2).
Plugging in the values, t = sqrt(2 * 75.0 / 9.8) = sqrt(150 / 9.8) ≈ 5.05 seconds.
Therefore, it will take approximately 5.05 seconds for the object to reach the ground.
What is the equation of the line that passes through the point (-6,-6)(−6,−6) and has a slope of 2/3?
Answers
Answer:
y = 2/3 x -2
Step-by-step explanation:
We have a point and a slope
y = mx+b
The slope, m, = 2/3
y = 2/3 x+ b
The point is (-6,-6)
Substitute this into the equation to solve for b
-6 = 2/3 (-6) +b
-6 = -4+b
Add 4 to each side
-6+4 = -4+4+b
-2 =b
Substitute into the equation
y = 2/3 x+ b
y = 2/3 x -2
Find the slope (-1,7),(-6,1)
Answers
Answer: m = 6/5
Step-by-step explanation:
The Formula to find m is m = y2 - y1 / x2 - x1.
So for this problem I did 7 - 1 / -1 - (-6) which would equal 6/5.
Which statement is correct about the system of linear equations graphed below? On a coordinate plane, a line with negative slope goes through (0, 3) and (4, 2). A line with positive slope goes through (0, negative 4) and (4, negative 2). The system of equations has one solution because the lines will eventually intersect. The system of equations has one solution because the lines will never intersect. The system of equations does not have one solution because the lines will eventually intersect. The system of equations does not have one solution because the lines will never intersect.
Answers
Answer:
the answer is A. The system of equations has one solution because the lines will eventually intersect
Step-by-step explanation: because as the line goes on it will intercect once and if it has only one point of intercect its one solution
The system of equations has one solution because the lines will eventually intersect.
Which statement is true?
We know that for a system of equations, the solutions are the points where the graphs of the equations do intercept.
Also, remember that two lines always intercept if they have different slopes (parallel lines have the same slope and different y-intercept).
In this particular case, we know that one line has a negative slope and the other has a positive slope, so the lines are not parallel. This means that the lines will intercept, so the system has one solution.
With that in mind, the correct statement is "The system of equations has one solution because the lines will eventually intersect."
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85 out of 350 books in the library are about Mysteries.
What percent of the books are Mystery books?
Answers
Nevaeh has a $25.00 gift card from the local coffee shop. The table below shows the balance, b on her gift card after n lattes. What is the meaning of the x-intercept
A) Nevaeh’s card is depleted after 10 lattes
B) Nevaeh has $25 on her gift card.
C) Each latte is $2.50
D) Nevaeh has no money left on her card after 25 lattes
Answers
Answer:
your answer is c give me brainliest please
Step-by-step explanation:
Answer:
C.
Step-by-step explanation:
After 2 lattes the balance is $20 so each latte cost $2.50
Describe the transformations from, y=x2, the original parent function
y = (x - 6)2
Answers
Going from y = x^2 to y = (x-6)^2 has the graph shifted 6 units to the right
The replacement of "x" with "x-6" shifts the xy axis 6 units to the left. All new inputs are 6 units smaller than before. If you shift the xy axis 6 units to the left and keep the parabola still, then it gives the illusion the parabola moved 6 units to the right.
Gia is running for school president. Her best friend designed a rectangular button that measures 2.5 inches by 2 inches. Gina liked the button so much she produced a campaign poster, which measures 5 feet by 4 feet. What scale factor did Gina use to make the poster from the button?
Answers
Answer:
24:1
Step-by-step explanation:
To find the scale used to make the poster we just need to find the ratio between the poster and the button, and we do this by dividing the length and width of the poster by the length and width of the button.
So, we have that:
ratio = length poster / length button = 5 feet / 2.5 inches = 2 feet to 1 inch
ratio = width poster / width button = 4 feet / 2 inches = 2 feet to 1 inch
if 1 foot is equal 12 inches, we have a ratio of 2*12 inches to 1 inch = 24 to 1 (24:1)
PLEASE HELP ASAP
2(x+10)+5(4x-11)
Answers
Answer:
22x - 35
Step-by-step explanation:
Expand 2(x+10)
2x+20
Expand 5(4x-11)
20x-55
Simplify:
22x-35
Answer:
0.24
Step-by-step explanation:
1. you have to distributive property all
2(x+10)+5(4x-11)
2.You have to subtract the x
2x+10+20x+55
3. you have to subtract the natural number
20+18x-55
4. you have to divide
75/18x
then the answer is 0.24
Knowing that, on a dice, the sum of the numbers of points marked on opposite sides is 7. What are the missing points?
Answers
Answer:
How many of those ways have opposite face sums equal? ... Are there other ways we can number the dice as well? ... As you probably know, there are exactly five Platonic solids: the tetrahedron, cube, octahedron, ... On a normal 6-sided die, opposite faces add up to 6 + 1 = 7: 1 and 6, 2 and 5, 3 and 4
Step-by-step explanation:
trust me its right and can you be nice enough to mark me as brainliest
The points on opposite sides of a dice whose sum is 7 are: 1 and 6, 2 and 5 & 3 and 4
Explanation:
The missing points on a dice where opposite sides add up to 7 are:
1 and 6
2 and 5
3 and 4.
A high school track is shaped as a rectangle with a half circle on either side. A rectangle has a length of 96 meters and width of 35 meters. 2 semicircles with diameters of 35 meters are on each end of the rectangle. Jake plans on running four laps. How many meters will Jake run? Use 3.14 for Pi. 301.9 m 823.6 m 1,207.6 m 1,647.2 m
Answers
Answer:
C
Step-by-step explanation:
Answer:
your anwser is C
Step-by-step explanation:
btw i cant spell lol
Please help me now plz
I will mark you brainliest
Answers
Answer:
theta = 24.4 degrees
Step-by-step explanation:
This is a right triangle.
sin theta = opp/ hyp
sin theta = 33/80
Take the inverse of each side
sin^-1 sin(theta) = sin^-1 (33/80)
theta =24.36197794
To the nearest tenth
theta = 24.4 degrees
The ratio of girls to boys is 3 to 4. If there are 48 boys, how many girls are there?
40
Answers
48 divided by 4 equals 12
so 12 times 3 equal 36
Which leader was initially an adviser to Davis?
o Abraham Lincoln
© George McClellan
© Robert E. Lee
Answers
Answer:
Robert E. Lee
Step-by-step explanation:
Answer:c
Step-by-step explanation:
Mr. Sanford left half of his fortune to April, his daughter. He left of the remaining half to his uncle Jed. He left half of the remaining half to his favorite charity. He left the remaining $30,000 to the local animal shelter. What was the total amount of Mr. Sanford’s fortune?
Answers
9514 1404 393
Answer:
$240,000
Step-by-step explanation:
Let f represent Mr. Sanford's fortune.
1/2x went to April, so 1/2x remains.
1/2(1/2x) = 1/4x went to Jed, so 1/2x -1/4x = 1/4x remains.
1/2(1/4x) = 1/8x went to charity, so 1/4x -1/8x = 1/8x remains.
That remaining 1/8x was $30,000, so the total amount of Mr. Sanford's fortune was ...
8 × $30,000 = $240,000
f the height of the parallelogram shown is decreased by 1 inch and the base is decreased by 2 inches, what is the area of the new parallelogram?
Parallelogram a
78 in2
b
84 in2
c
104 in2
d
108 in2
Answers
Answer:
C.
Step-by-step explanation:
What is the probability of tossing 3 heads in a row when flipping a coin?
Answers
Answer:
0.125
Step-by-step explanation:
Assuming the coin is fair (most coins are not completely fair) and that the person flipping is not able to control the tosses (some people can) then the chance is 0.125. On each flip, the chance is 1/2. The combination is simply the product of three tosses, since the events are independent.
Hope this helped!♥
Over 44% of the 30 students in a class read a
book last month. What are the possible numbers of students in the class
who read a book last month? Justify your answer.
Answers
Answer:
I got 13.2 but you could probably round it to 13.
Step-by-step explanation:
44 percent *30 =
(44:100)*30 =
(44*30):100 =
1320:100 = 13.2
The possible number of students in the class who read a book last month is 13 students
Let the total number of students that read the book last month be xIf over 44% of the 30 students in a class read a book last month, hence;
44% of 30 = x
0.44 * 30 = x
Simplifying the expression
x = 13.2
Hence the possible number of students in the class who read a book last month is 13 students
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describe how to translate the graph of y = x + 2 to the graph of the given function.
y = x + 7
pls help and show work!!!!
Answers
Answer:
Step-by-step explanation:
y = x + 2 and y = x + 7 are parallel straight lines which have the same slope, 1. The graph of y = x + 2 becomes the graph of y = x + 7 if we translate it (graph of y = x + 2) up 5 units.
Jermaine is ordering a piece of glass in the shape of a trapezoid to create a patio table top. Each square
foot of glass costs $25. The trapezoid has base lengths of 5 feet and 3 feet and a height of 4 feet. What is
the cost of the glass?
Answers
Answer:
$400
Step-by-step explanation:
1) we need to find area of trapezoid first
area of trap formula:( (b1+b2)/2)h
b1=5
b2=3
h=4
(5+3)/2=4
4*4=16
there are 16 square feet in thtat trapezoid
hence, 25*16= $400
the glass cost $400
Answer:
$400
Step-by-step explanation:
This scale drawing shows a parking lot. What is the length of the longer side of the actual lot?
Answers
Answer:
What drawing???
Step-by-step explanation:
Cuál es el área del paralelogramo?
Answers
Answer:
The area is 500 square inches
Step-by-step explanation:
A=B*H
A=20*25
peter had 140 candies. he kept 28 candies for himself and gave the rest away. What percentage of his candies did he give away?
Answers
What are the next 3 terms in this sequence of terms? 3, 7, 11, 15
Answers
Answer:
it will be 19, 23, 27
Step-by-step explanation:
all you have to do is check the pattern the sequence uses to progress. in this sequence it increases by adding 4 to a previous number.
so;
3 + 4= 7
7 + 4= 11
11 + 4= 15... and so on
i hope this helps
Write the equation x2=7x in standard form.
Answers
Answer:
i believe it's x2-7x=0
Step-by-step explanation:
To write the equation x^2 = 7x in standard form, subtract 7x from both sides and rearrange the terms in descending order of exponents.
Explanation:The equation x^2 = 7x is a quadratic equation. To write it in standard form, we need to move all the terms to one side and set the equation equal to zero.
Subtracting 7x from both sides, we get x^2 - 7x = 0.
Next, we rearrange the terms in descending order of exponents: x^2 - 7x = 0.
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A gaming console that is $300 plus 8% tax. What is the final cost of the console? (Round to the nearest cent)
Answers
Answer: $324.00
Step-by-step explanation:
Convert 8% to decimals. You can do this by dividing by 100
[tex]\frac{8}{100}=0.08[/tex]
Calculate 8% of 300 (0.08*300) and add 300 (+300)
[tex]0.08(300)+300\\24+300\\324[/tex]
A baby elephant can weigh 170 pounds at birth. Approximately how many kilograms is this?
Answers
Answer:
77.1107
Step-by-step explanation:
for an approximate result, divide the mass value by 2.205
hopefully this help's
Answer:
170lbs = 77.1107
Step-by-step explanation:
1lb=0.453592