Answers
Answer:
BC = 3
Step-by-step explanation:
The length of the side BC is 3 units.
What is trigonometry?Trigonometry is mainly concerned with specific functions of angles and their application to calculations. Trigonometry deals with the study of the relationship between the sides of a triangle (right-angled triangle) and its angles.
For the given situation,
The right triangle is shown in the figure.
Let the distance BC be x and
The side AB be y.
According to trigonometric ratios,
[tex]tan \theta=\frac{opposite}{adjacent}[/tex]
Consider Δ ABD,
⇒ [tex]tan (20) = \frac{y}{x+15}[/tex]
⇒ [tex]0.3639=\frac{y}{x+15}[/tex]
⇒ [tex]y=0.3639(x+15)[/tex] -------- (1)
Now consider Δ ABC,
⇒ [tex]tan(65)=\frac{y}{x}[/tex]
⇒ [tex]2.144=\frac{y}{x}[/tex]
⇒ [tex]y=2.144x[/tex] --------- (2)
From equation 1 and 2,
⇒ [tex]2.144x=0.3639(x+15)[/tex]
⇒ [tex]2.144x=0.3639x+5.4585[/tex]
⇒ [tex]1.7801x=5.4585[/tex]
⇒ [tex]x=\frac{5.4585}{1.7801}[/tex]
⇒ [tex]x=3.06[/tex] ≈ [tex]3[/tex]
Hence we can conclude that the length of the side BC is 3 units.
Learn more about trigonometry here
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Related Questions
The sum of the digits in a two digit number is 5. If 27 is subtracted from the number then places of the digits are interchanged. Find the number. Please answer this with clarification! Thankyou<3
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Please find the attached photograph for your answer
Which of the following is the graph of y = -(x-2)^3
-5?
Answers
can someone please help me with this question?
Answers
Answer:
30 in^3
Step-by-step explanation:
Radius = 1/2 D; 2/2 = 1
(3)(1^2)(10) = 30
Mary had to guess at a chosen number between 1 and 10, to get to be the first in line. What’s the probability that she’ll choose the correct number?
Answers
Answer:
1 in 10, or 10% because there is a 90% chance she will choose the wrong number.
Answer:
[tex]\frac{1}{10}[/tex]
Step-by-step explanation:
1-10 is 10 numbers, only one of which is the correct one.
The resulting proportion is:
[tex]\frac{1}{10}[/tex]
A box contains 6 plain pencils and 2 pens. A second box contains 3 color pencils and 5 crayons. One item from each box is chosen at random. What is the probability that a pen from the first box and a crayon from the second box are selected?
Write your answer as a fraction in simplest form.
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Answers
Answer: The probability of picking a pen from the first box and a crayon from the second box is 5/8 x 1/4 = 5/32.
Step-by-step explanation:
What is the probability of choosing a pen from the first box? It is 5/8.
What is the probability of selecting a crayon from the second box? It is 3/12 = 1/4.
The probability of picking a pen from the first box and a crayon from the second box is 5/8 x 1/4 = 5/32.
Which of the following statements is true?
A regular pentagon always has all the properties of a pentagon
A quadrilateral never has all the properties of a parallelogram
A right triangle sometimes has all the properties of a triangle
A regular hexagon never has all the properties of a hexagon
Answers
Answer:
Step-by-step explanation:
Option C a right triangle is the correct answer
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Answers
Answer:
It is D
Step-by-step explanation:
Within each coordinate it represents (x,y)
The x moves along the horizontal line and the Y moves along the vertical line.
For example: For (-5,5) move to the left 5 times, then move up 5 times.
A negative X goes to the left and a negative Y goes down.
A positive X moves to the right and a positive Y moves up.
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You want to take some of your friends to see a movie Movie tickets cost $9 at the local theatre. You will purchase a bucket of popcorn for $7.50. How many friends can you take if you spend at most $79.50. Write the inequality and solve it.
Answers
Answer: 8 friends
Step-by-step explanation: 79.5-7.50 72
72/9 8
the cost of equal-priced DVD and the number purchased
Answers
Answer:
Linear relationship
Step-by-step explanation:
ok <3
Aaron drank 15 oz of juice. This was 30% of the bottle. How many ounces of juice were in the
bottle originally.
Answers
Answer:
50 oz because 15 is 30 percent of 50
Step-by-step explanation:
Answer:
there was 50oz of juice originally
Step-by-step explanation:
Mathhhhhhhhhhh which one is correct
Answers
Answer:
slope = 4
y intercept = -3
Step-by-step explanation:
The equation is put in slope intercept form
Slope intercept form: y = mx + b
where m = slope and b = y intercept
looking at slope intercept form
4 is located where m should be , meaning that the slope is equal to 4 and
-3 is located where b should be , meaning that the y intercept is -3
Therefore the answers are the first and last option choices.
Solve the equation n - 19 = 13
Answers
n = 13 + 19
n =32
?% of $10 = $9
What is the percentage
Answers
Answer:
90%
Step-by-step explanation:
there are 100 % if you multiplied 10 by 10 you get that 100 % so multiply 9 by 10 to get 90 and that is your answer
Answer:
$90%
Step-by-step explanation:
90/100 *10.
9*1
$9%
14. The Garcia family had dinner at a local restaurant. The total bill was $45. They want to
leave a 20% tip. How much will they leave for the tip?
a.
$4.00
b. $5.00
c. $9.00
d. $20.00
infine
Answers
Answer: c. $9.00
Step-by-step explanation:
45 x .20 = 9.00
Please help. “describe the transformation that, when applied to the graph of y=cos x, the result in the graph of y = - 2 cos ( 1 /8 ( x - π /3 ) ] + 1”
Answers
Answer:0
Step-by-step explanation:
-1
Help me please and sorry about the points it doesn’t let me do more than that
Answers
explanation: i’m not sure but rise/run,
y2-y1/x2-x1
(1,1.5) (4,6)
6-1.5/4-1=4.5/3=1.5
How much tax, in dollars, did Andrea pay for each song? There are 85 songs, each one costs 1.09 plus tax, and the total is $96.90
Answers
Answer:
$4.25 tax
Step-by-step explanation:
[tex]85 \times 1.09 + x = 96.90[/tex]
[tex]x = 4.25[/tex]
A) sumar: m; n; e3; -2n; 10m b) sumar: x; 2y; -4y; 6x; 2x; c) sumar: a; b; c; 2a; 3c; -2a; 3b; 4c d) sumar: 2a; -b; 3c; -2a; 3b; 2c
Answers
Answer:
a) m + n + e3 + ( -2n) + 10m = 11m - n + e3
b) x + 2y -4y + 6x + 2x = 9x -2y
c) a + b + c + 2a + 3c -2a + 3b + 4c = a + 4b + 8c
d) 2a -b + 3c -2a + 3b + 2c = 2b + 5c
Step-by-step explanation:
En cada uno de los casos:
1) Reorganizas los términos
2) sumas los coeficientes de los términos semejantes
a) m + n + e3 + ( -2n) + 10m
1) Reorganizando los términos
m + 10m + n + ( -2n) + e3
2) Sumando los coeficientes de los términos semejantes
(1 + 10) m + (1 - 2) n + e3
(11)m + (-1)n + e3
11m - n + e3
__________________
b) x + 2y - 4y + 6x + 2x
1) Reorganizando los términos
x + 6x +2x + 2y - 4y
2) Sumando los coeficientes de los términos semejantes
(1 +6 +2) x + (2- 4) y
(9) x + (-2)y
9x -2y
__________________
c) a + b + c + 2a + 3c -2a + 3b + 4c
1) Reorganizando los términos
a + 2a - 2a + b + 3b + c + 3c + 4c
2) Sumando los coeficientes de los términos semejantes
(1 + 2 - 2 ) a + (1 +3) b + ( 1 + 3 +4) c
(1) a + (4)b + (8)c
a +4b + 8c
__________________
d) 2a -b + 3c -2a + 3b + 2c
1) Reorganizando los términos
2a - 2a - b + 3b + 3c +2c
2) Sumando los coeficientes de los términos semejantes
(2 - 2) a + (-1 +3) b + (3 +2)c
(0) a + (2) b + (5) c
2b + 5c
Find the value of x needed to make the equation True. 3/4(20x-8)-3=54
A. x=3.8
B. x=4.2
C. x=4
D. x=3.3
Answers
Answer:
The answer is option B, x = 4.2
Find the volume of the figure
Answers
Answer:
First of all are you given formulas, if yes then apply them to what you are given and find the missing outputs. I'm writing a test tomorrow on Euclidean Geometry
find the solution to the system of equations.
Answers
Grace and her brother need $400 to go to band camp. Their parents have agreed to help them earn money by paying them $25 each time they mow the lawn and $10 for each hour they babysit their younger brother. They will have to do a combination of both chores to earn the money.
Select the equation that represents the number of lawns they can mow, m, and hours they can babysit, b, to earn $400.
M. 10m+ 25b= 400
P. 10m− 25b= 400
R. 25m+ 10b= 400
S. 25m− 10b= 400
Answers
Answer:
25m + 10b = 400
Step-by-step explanation:
Total amount that can be earned = $ 400
Amount earned on mowing a lawn = $ 25
Amount earned per hour on babysitting = $10
Amount earned for mowing one lawn is $ 25, so amount earned for mowing m lawns will be $ 25m
Amount earned for one hour of babysitting is $ 10, so amount earned for babysitting for b hours will be $ 10b
Total amount earned = Amount earned from mowing m lawns + Amount earned from babysitting for b hours
Using the values from above, we can set up the equation as:
400 = 25m + 10b
an article bought a television for 2500 dollars and sold for 2325dollars find a.loss b.loss%
Answers
Answer:
Loss= $175
Loss %= 7%
Step-by-step explanation:
First of all, you find the difference between 2500 and 2325 which is 175, as his has decreased, it is a loss of $175
To find the percentage you do the difference over the original amount
So 175/2500 which will give you 0.07
0.07 x 100 will give you 7%
Help me out please?.
Answers
Explanation
Rotation, translation and reflection moves the shape, resulting in a congruent shape but in a different position. Dilation changes the length/width of the shape. The shape can be similar, but not congruent.
What is the slope of the line shown below?
Answers
Answer:
2
Step-by-step explanation:
ΔX = -1 – 2 = -3
ΔY = -4 – 2 = -6
-6 divided by -3=2
Hope it helps ;)
Step-by-step explanation:
[tex]slope = \frac{y2 -y1 }{x2 - x1} \\ = \frac{ - 4 - 2}{ - 1 - 2} \\ = \frac{ - 6}{ - 3} \\ = 2[/tex]
even if x₁ = -1, y₁ = -4 and x₂ = 2, y₂= 2 the result remains the same.
#CMIIWGuys pls help me!!!!!!
Answers
The line crosses (“intercepts”) the y-axis when x = 0. If x = 0 in the equation, then y = 4.
Need help need help
Answers
really confused about this
Answers
Answer:
.22/63
Step-by-step explanation:
area = pi x R^2
A=22/7 * 1/3^2
find the Missing angle
Answers
Answer:
50
Step-by-step explanation:
70+60 =130
180-130 = 50 degrees
Answer: 50
Step-by-step explanation: Every triangle is 180 degrees so add the 60 and the 70 to get 130. 180-130=50. So 50 is your answer.
Order the numbers from least to greatest.
23% , 1/4 , 0.225 .
Answers
Step my step
23% = 0.23
1/4 = 0.25