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
please help with question down below!
Answers
Marissa had a $25 gift card for Roosters on Oxford. Each morning she purchases her $3 vanilla latte. Write an equation in slope- intercept form where y represents the amount of money on the card, after x visits.
Answers
Answer:
Y=3/1x+25
Step-by-step explanation: I believe this is correct. I was doing this a while ago so I might have it wrong. Y Is the money on the card, m, or 3/1 is the slope. B is the Y-intercept, which is 25.
help pls i really need help like really so pls i will giv brainly est and money pls 20 dollar i need help pls pls pls i cant do math pls
Answers
Answer:
what do you need help with?
Calcule el décimo termino de una progresión geométrica que Los términos son 32 , 16 , 8 , 4 ................,
Answers
Respuesta:
1/16
Explicación paso a paso:
Dada la secuencia geométrica: 32, 16, 8, 4 ................,
El enésimo término de una progresión geométrica se obtiene mediante la relación:
enésimo término = ar ^ (n-1)
Dónde ; a = primer término = 32; n = enésimo término; r = razón común
r = a2 / a1 = a3 / a2
r = 16/32 = 8/16
r = 1/2
Por lo tanto, el décimo término:
n (10) = 32 * (1/2) ^ (10 - 1)
n (10) = 32 * (1/2) ^ 9
n (10) = 32 * (1/512)
n (10) = 32/512
n (10) = 1/16
Por lo tanto, el décimo término es 1/16
Can someone please help me with this math problem please:):)
Answers
Answer:
4800cm²
Step-by-step explanation:
20x30x8=4800
Is this a function?
A) Yes
B) No
Answers
Answer:
yes
Step-by-step explanation:
because its arranged in well functional statement
Select the correct answer.
Consider this equation of a parabola.
- 2x2 - 4x + 2y + 8 = 0
What is the equation expressed in vertex form?
O A.
B.
л
y = (x – 4)2 – 20
y = (x + 1)2 – 5
C. y = (1 – 4)2 + 4
OD. y = (x + 1)2 - 1
Answers
Answer:
B
Step-by-step explanation:
PLEASE HELP FAST! problem is attached as a picture!
Answers
Answer: (4 , 5.5)
Step-by-step explanation: it is 1:3 on the line AB
A basketball team won 72.5% of their games. Find the probability they win 16 if their next 30 games.
Answers
Answer:
0.00987
Step-by-step explanation:
Using binomial probability formula :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
p = 0.725 ; number of trial, n = 30
Number of winning, x = 16
1 - p = 1 - 0.725 = 0.275
P(x = 16) = 30C16 * 0.725^16 * 0.275^14
P(x = 16) = 119759850 * 0.725^16 * 0.275^14
P(x = 16) = 0.00987
Hence, the probability of winning 16 of their next 30 games is 0.00987
Is (4, 3) a solution to the inequality 10x + 2y > 3?
Answers
Answer:
Yes
Step-by-step explanation:
10x + 2y > 3
Substitute the point into the inequality
10(4)+2(3) > 3
40+6>3
46>3
This is a true statement so the point is a solution
3 times a number is 4 less than the square of that number. Find the negative solution.
Answers
So X=4
Negative -4
Which do you pick and why? How much money do you end up with in each case?
Answers
Answer:
2
Step-by-step explanation:
Because if you get 1 per day there is 24 hours meaning there is going to be 17,280 in 30 days so you end up making more in 30 days by getting 1,000,000
Factor the polynomial by its greatest common monomia
365 + 1564 - 1867
Answers
What is the probability of getting a prime number in a number greater than one on two rolls of a die
Answers
Answer:
a even chance of getting one as even as not
Step-by-step explanation:
hope it helps
Please give good answer, no jokes or links please
Answers
Which choice correctly shows the line
y = -x?
Answers
Answer:
B
Step-by-step explanation:
Un turista pagó un total de 180 dólares en un hotel. La cuenta incluye el costo de tres noches de hospedaje y 75 dólares de alimentación.
El siguiente procedimiento permite determinar cuántos dólares pagó el turista, por cada noche de hospedaje. 3X+ 75 = 180
3X +75 -75 = 180 – 75
3X = 105
¿Cuál de los siguientes pasos completa correctamente el procedimiento?Single choice.
(10 Points)
3X – 3 = 105 – 3
3X + 3 = 105 + 3
3.(3X) = (3).105
3X/3 = 105/3
Answers
Write and solve your own multi-step equation that has variables on both sides and at least one fraction.
Example : 5x + 5 + 4x = 4 - 3x + 6 (but dont do this one, do something similar to it and solve it please :) )
Answers
Your Answer for 5x+5+4x=4-3x+6: x=5/12
Step-by-step explanation: Hope this help :D
May someone please help me with this :)
Answers
Answer:
[tex]48\pi[/tex]
Step-by-step explanation:
[tex]V=\frac{1}{3}\pi r^2h[/tex]
r is the radius of the base, h is the height.
[tex]V=\frac{1}{3}\pi (4)^2\cdot 9=48\pi[/tex]
Answer:
The volume is 48pi (in)^3
Step-by-step explanation:
Josh is tiling his swimming pool. What information does Josh need?
A.
the area of a tile and the area of his swimming pool
B.
the volume of a tile and the volume of his swimming pool
C.
the perimeter of a tile and the perimeter of his swimming pool
Answers
HELP PLEASE ASAP!!!!!!!!!!!!
Answers
Answer:
a = 2, b = 3
Step-by-step explanation:
The opposite sides of a parallelogram are congruent , so
3a + 11 = a + 15 ( subtract a from both sides )
2a + 11 = 15 ( subtract 11 from both sides )
2a = 4 ( divide both sides by 2 )
a = 2
and
3b + 5 = b + 11 ( subtract b from both sides )
2b + 5 = 11 ( subtract 5 from both sides )
2b = 6 ( divide both sides by 2 )
b = 3
i really need help i am really bad at math
Answers
what is the vertex of the graph?
A. (2,2)
B. (1,3)
C. (3,1)
D. (0,2)
Answers
Answer: B
Step-by-step explanation:
PLEASE ANSWER WILL GIVE BRAINLIEST!!!!!!!!!! SHOW YOUR WORK. MATH!
Answers
Answer:
80 degrees
Step-by-step explanation:
an triangle has 180 degress 30 is for angle A so you have 150 left if you put 70 degrees for angle b then you 80 degrees left for angle c. 30+70+80=180
3.
Identify the mapping diagram that represents the relation and determine whether the relation is a function.
{(–8, –6), (–5, 2), (–8, 1), (7, 3)}
Which of the following is true?
A.
choice b.
B.
choice d.
C.
choice c.
D.
choice a.
Answers
Answer:
Step-by-step explanation:
I dont know sorry
A scientist pours 708 milliliters of a solution into a beaker.There are approximately 236 mililiters in 1 cup. How many ounces of solution did she pour into the beaker
Answers
Answer:
23.94 ounces
Step-by-step explanation:
To determine the ounces poured. Convert, 708 ml to ounces
1 ml = 0.033814 ounces
0.033814 ounces x 708 = 23.94 ounces
Drag the dot to plot (-5, -9), and then select its location on the coordinate plane.
Answers
Ben score is 56 out of 79 marks what is his score as a percentage
Answers
Answer:
71%, without rounding 70%
Step-by-step explanation
We know our total number of marks is 79 if we only get 56 out of 79 we take 56/ 79. You'll end up with a number of 0.7088. You will ALWAYS end up with a decimal point. Because its a percentage we move the decimal point over 2 spots making the number 070.88 the 0 in front of of the 70.88 gets removed so you're left with 70.88 so rounded it would be 71%. Hope this helps
Answer:
70.88% or 70.9%(if rounded off)
Step-by-step explanation:
1. 100 ÷ 79 = 1.2658227848
2. 1.2658227848 × 59 = 70.8860759494
3. 70.88 rounded off to the nearest tenths is 70.9
Each quadrilateral below is a parallelogram . find the missing measures .
Answers
Answer:
AD = 8
DC = 15
m∠A = 112°
m∠B = 68°
m∠C = °
Step-by-step explanation:
If we're working with parallelograms, we can assume that each line and it's opposite are perfectly parallel.
To find AD, all you need to do is look to the opposite line, BC. Since This is a parallelogram, AD = BC, so AD is 8.
To find DC, you do the exact same. Find the opposite line that it is parallel to, in this case that's AB, and since AB = DC, you know that DC = 15.
To find m∠A, let's look at m∠D. Since m∠D = is 68°, We can use that knowledge to find m∠A. Since the two angles are right beside each other on the same line, together they would equal 180° if you added them up. But since you don't know what m∠A is, you just have to subtract 68 from 180.
180 - 68 = 112.
To find m∠B, We simply look back to m∠D. Since m∠B is directly opposite to m∠D, That means they have the same value, 68°.
And finally, to find m∠C, we do the same thing we did to find m∠B. m∠C is directly across from m∠A - we have already found m∠A, and we know that it is 112°. Therefore, m∠C is 112° as well.
If three bakers can prepare 15
cakes in 60 minutes, if they
continue working at the same
rate, how many cakes can they
make in 3 hours?
Answers
Answer:
45 cakes/3 hours
Step-by-step explanation:
15 cakes/1 hour = x cakes = 3 hours (multiply by 3)
