Two artillery bases are located at the points A and C represented in the figure. Each of the bases locates an enemy airplane at point B. The base at A measures the angles of elevation to the airplane to be 95∘ and the distance between the two bases is 739 meters. If the distance from the base at C to the plane is 2,517 meters, what is the measure, in degrees, of ∠CBA?
Answers
Answer:
the answer is 17 here is the step below
Step-by-step explanation:
Use the Law of Sines to find the distance. For a triangle with angles A, B, and C, and opposite sides a, b, and c, the Law of Sines states that sinAa=sinBb=sinCc.
In this case, the angle at point B, let it be α, needs to be found. The Law of Sines can be used to relate α, the two known sides, and the angle at point A.
The Law of Sines states that sinα739=sin95∘2517.
By simplifying, sinα=739sin95∘2517. Since α is acute, α=sin−1(739sin95∘2517)≈17.0∘.
The measure of the angle is 17 degrees if the A measures the angle of elevation to the airplane to be 95∘ and the distance between the two bases is 739 meters.
What is the triangle?In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.
We have a triangle shown in the picture
To find the measure of the angle ∠CBA
Applying sin law:
sin95/2517 = sin∠CBA/739
0.292 = sin∠CBA
∠CBA = sin⁻¹(0.292)
∠CBA = 17 degrees
Thus, the measure of the angle is 17 degrees if the A measures the angles of elevation to the airplane to be 95∘ and the distance between the two bases is 739 meters.
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Related Questions
ASAP please help me I need this quick
The question and answers are in the picture
Answers
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 :)
What is the coefficient in the following expression?
5a2 - 7
Answers
Answer:
5 is the coefficient
Step-by-step explanation:
Choose the one alternative that best completes the statement or answers the question
Answers
Answer:
B) 60
Step-by-step explanation:
5*2*3*2=60 types by multiplying all the categories together.
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.
Answers
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.
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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.
Answers
Answer:
2 rows of 41
Step-by-step explanation:
....... i think
I have the same question, and I have nothing in my brain....-_-''
Please help me
Solve the inequality.
12 - }>8-23
Answers
Answer:
Letter D
Step-by-step explanation:
D KO PO SURE SORRY PO KUNG MALI ✌
The distance between(-12,-9) and (12,-9)
Answers
Answer:
24 units
Step-by-step explanation:
12 to 0
12 to 12
Answer:
30
brainliest??
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
Answers
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
plssss help due in 5 minutes
Answers
Answer:
-5 is the y intercept
Step-by-step explanation:
Rob is setting up a model train track that is 3 and 3 over 8 feet long. No telephone pole is needed at the start of the track. However, along the track, he places a telephone pole every 3 over 8 foot apart. How many telephone poles does he need? (Input number values only.
Answers
Answer:
9?
Step-by-step explanation:
Answer:
sorry dont understaand
Step-by-step explanation:
What’s 9 times 9
Just gave you 100 for free your welcome
Answers
Answer:
81! THANK YOU<3333333333333
Answer: 81
Step-by-step explanation: 9 x 9 = 81 Obviously
Evaluate the given expression for x=-14. -3x-5
Answers
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!!
what is the BEST ANSWER for the slope of the line that contains the following points:
(14, 5) and (54, 12)
Answers
Answer:
7/40
Step-by-step explanation:
12-5=7
54-14=40
7/40
what is the solution of the following? *
-4 = 16
Infinite solutions
no solution
Answers
Answer: no solution
Hope this helps and good luck :)
Step-by-step explanation:
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
Answers
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
What is the value of the function at x = 22 Enter your answer in the box .please help.
Answers
Answer:
its gonna be whatever the y value is when x is 22
Step-by-step explanation:
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
Answers
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
Y=-1/4x +9 what is the slope and y - intercept
Answers
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)
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.
Answers
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
Chan Hee bought 9.8 pounds of coffee that cost $7.45 per pound. How much did he spend on coffee?
Answers
What is the equation of the line through (2, -4) and (0, 4)?
OA. y= 4x- 4
O B. y= -4x- 4
Oc. y= -4x+ 4
OD.y= 4x+ 4
Answers
m = slope
m = (y2 - y1) / (x2 - x1)
2 points:
(2, -4) x1 = 2 and y1 = -4
(0, 4) x2 = 0 and y2 = 4
m = (4 - (-4)) / (0- 2)
m = 8 / -2
m = -4
Equation of the line is : y = mx + b
So we got...
y = -4x + b
Then we can use any of the two points given to solve for b. I’m going to use (0, 4).
y = -4x + b
4 = -4(0) + b
4 = 0 + b
4 = b
Therefore the equation of the line is
y = -4x + 4
Which number is a zero of the function f?
f(x) = x2 - x - 6
F 6
G2
H 3
IO
Answers
Answer:
zeros of the function are −2 and 3
Step-by-step explanation:
there is no -2 so H.3
Four more than twenty-six time a number is equivalent to 12 times the same number less 15.
What is the number?
Answers
Answer:
n = -19/14
Step-by-step explanation:
Please transcribe this into a symbolic equation:
26n + 4 = 12n - 15
Then 14n = -19, or n = -19/14.
What is the answer, Please Help.
Answers
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!
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
Answers
Answer:
The answer for the length of the rectangle in terms of x is 2x+1=26
Step-by-step explanation:
Can someone please help me this is due in 2 mins?!?!?
Answers
Answer:
2
Step-by-step explanation:
the two sides are 3 and its equal to 8..its 2
I need help with problem 8 with work shown and explanation
ASAP PLEASE!!!!!!!!
Answers
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)
Using the table below,which statement best describes whether or not the relationship identifies a function?
Answers
Answer: I'm pretty sure the correct answer is (B) Let me know if i'm correct!
Step-by-step explanation:
Pls hurry I’m being timed
Answers
Answer:
I think the answer is A
Step-by-step explanation:
makes sense
2, 5, 8, 11, 14,... ... ... ....
a30
What’s the missing term
Answers
Answer:
17, 20, 23, 26, 29, 32,
Step-by-step explanation:
Answer:
17, 20, 23, 26, 29, 32, 35....
Step-by-step explanation:
cause that's how math was made
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-Guy