Select the correct answer.
What is the value of y in the triangle?
y
30°
60°
6
O A.
3
OB. 6
C. 673
D.
33
Answers
This is a special kind of right triangle, called a 30-60-90 triangle.
Across from the 30 degree angle, the side is equal to x. Across from the 60 degree angle, the side is equal to x[tex]\sqrt{3}[/tex]. And across from the 90 degree angle, the side is equal to 2x.
Using what we know about 30-60-90 triangles, lets first solve for x. We know that the hypotenuse, given, is equal to 6.
2x = 6
x = 3
Then, we are looking for the side opposite of the 60 degree angle. So its value is x[tex]\sqrt{3}[/tex].
x = 3
3 * [tex]\sqrt{3}[/tex] = 3 [tex]\sqrt{3}[/tex]
y = 3[tex]\sqrt{3}[/tex] (option D)
Hope this helps!! :)
The value of y for the given triangle will be 3√3, hence option (D) will be correct.
What is a triangle?A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.
Right angle triangles are triangles in which one angle is 90°.
The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.
Given a right-angle triangle
Let the side opposite to 30° is perpendicular and the remaining y will be base.
By trigonometric relation
cosx = base/hypotenuse
cos30° = y/6
y = 6 × cos30° ⇒ y = 6 × √3/2
y = 3√3 hence the value of the hypotenuse or y will be 3√3.
For more about triangles,
https://brainly.com/question/2773823,
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Related Questions
The following circular sign is hanging up at ODMS. The diameter of the circle is 20 inches. Which measurement is closest to the area of the circle?
a
1256 in2
b
31.4 in2
c
62.8 in2
d
314 in2
Answers
3 cos A = 4 sin A
find
a) cos A
b) 3-cot2 A+ cosec2A
Answers
Answer:
a). cosA = 4/5
b).
[tex]3 - cot {}^{2} a \: + cosec {}^{2} a \: = 0[/tex]
Answer:
hope it will help you☺
Step-by-step explanation:
hope
help me with this answer please !
Answers
Answer:
pick number 3 I think that's the one
Divide P. 80.00 people so that the second will have twice as much as the first and the third will have P. 5.00 less than the second. how much the first, second and third person gets?
Answers
Answer:
first collects 17, second 34 and third 29
Step-by-step explanation:
Total amount to be shared = 80.00
If first person received x
second received y
Third received z
If the second will have twice as much as the first, then;
y = 2x
x = y/2
If the third will have P. 5.00 less than the second, then
z = y-5
y = z+5
Substitute both equation in original equation
x+y+z = 80
y/2 + y + y-5 = 80
y + 2y + 2y -10 = 160
5y = 160+10
5y = 170
y = 170/5
y = 34
x = y/2
x = 34/2
x = 17
z = y - 5
z = 34-5
z = 29
Hence the first collects 17, second 34 and third 29
The yearbook club had a meeting. The meeting had 24 people, which is three-fourths of the club. How many people are in the club?
Answers
Answer:
32
Brainiest plz? :)
100 POINTS can someone help please??
I need to rewrite this poem into an adaptation(simple words easier to understand) and I am struggling
Answers
Answer:
i dunno
Step-by-step explanation:
Answer:
i had done already.thanks for 50 points
Need help ASAP Geometry
Answers
Answer:
Step-by-step explanation:
5x-1 is twice the bisector angle 4x-17 so
5x-1=2(4x-17)
5x-1=8x-34
-3x=-33
x=11, abc=5x-1
5(11)-1=54
x^2+4y^2=36 the lenght of the major axis is?
Answers
Answer:
Step-by-step explanation:
x² + 4y² = 36
divide by constant
x²/36 + y²/9 = 1
x²/6² + y²/3² = 1
6>3, so length of major axis is 2×6 = 12
When using the distributive property, the expression
3(2x - 1) would be simplified to
Answers
Answer:
[tex]6x - 3[/tex]
Step-by-step explanation:
consider downloading photomath
10. What is the length of s?
I
450
Answers
2
X. - 144
(Type your answer in factor
Answers
Answer:
(x+12) (x-12)
Step-by-step explanation:
12x12=144
9. Two homebuilders are in the middle of installing windows on their homes. Tom uses the equation
y = 7x + 2 to model the number of windows he is installing on his home and Suzanne uses the equation
y = 6x + 5 to model the number of windows she is installing on her home. In each formula, x represents the number of days that Tom and Suzanne work on installing windows.
Who is working at a faster rate? How do you know?
Who started with the most windows already installed? How do you know?
Answers
Answer:
Hence, Suzanne is working at a faster rate.
Suzanne started with the most windows already installed
Step-by-step explanation:
Number of windows he's installing :
Tom's equation :
y = 7x + 2
Suzanne's equation :
y = 6x +5
x = number of days used
Let y = 10
Tom:
10 = 7x + 2
10 - 2 = 7x
8 = 7x
x = 8/7 ; x = 1.143
Suzanne :
y = 6x + 5
10 = 6x + 5
10 - 5 = 6x
5 = 6x
x = 5/6
x = 0.833
Since 0.833 < 1. 143
Hence, Suzanne is working at a faster rate.
Intercept in Suzanne's equation = 5
Intercept in Tom's equation = 5
Suzanne started with the most windows already installed
Ajani's mother baked 5 peanut butter cookies for every 7 chocolate chip cookies she baked. If she made a total of 96 cookies, how many were peanut butter cookies?
Answers
Answer:
5+7=12
96/12=8
5*8=40 cookies
Step-by-step explanation:
si un costal de azúcar contiene 61.5Kg ¿cuántos paquetes de 0.750Kg se pueden llenar?
Answers
Answer:
Cantidad total = 82 Paquetes
Step-by-step explanation:
Dados los siguientes parámetros;
Cantidad de azucar = 61.5kg
Tamaño de cada paquete = 0.75kg
Para encontrar la cantidad total de paquetes;
[tex] Cantidad \; total = \frac {Cantidad}{Tamano \; de \; cada \; paquete} [/tex]
[tex] Cantidad \; total = \frac {61.5}{0.75} [/tex]
Cantidad total = 82 Paquetes.
Por lo tanto, se pueden llenar 82 paquetes de azúcar.
Can someone help me with this please?
Answers
Answer:
Classify by angles: Equiangular
Classify by sides: Equilateral
Step-by-step explanation:
An equiangular triangle has angles that all measure 60 degrees. An equilateral triangle is a triangle that has sides will all of the same lengths. This triangle meets both of these requirements.
Hope it helps!
Which function is shown on the graph?
A. f(x)=1/2cos x
B. f(x)=1/2sin x
C. f(x)=-1/2cos x
D. f(x)=-1/2sin x
Answers
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
I took the test
please help me
Which measurements could create more than one triangle?
A. A triangle with sides measuring 5 cm and 10 cm and an included angle measuring 40°
B. A triangle with sides measuring 4 inches, 8 inches, and 15 inches
C. A triangle with sides measuring 6 inches, 8 inches, and 10 inches
D. A triangle with angles measuring 75°, 60°, and 45°
Answers
Answer:
your answer is up there
Step-by-step explanation:
Sorry for not being some help i really am Red Riot out
If x + 3 = 13, then the value of 5x – 74 is
Answers
Answer:
-24
Step-by-step explanation:
We are given two equations and are asked to solve if one equals a certain amount to the other.
Let's focus on x + 3 = 13, we need to first figure out what is x. Which is very simple, what plus 3 equals 13?
10 of course, therefore x = 10, and we can implement into the other equation.
5x - 74
Since x = 10, we can substitute x with 10 and then multiply.
5(10) - 74
50 - 74
What is 50 - 74?
-24
You borrow $3,209 from a friend and promise to pay back $4,210.21 in 4 years. What simple interest rate will you pay?
Answers
Answer:
7.80%
Step-by-step explanation:
Given data
Amount borrowed=$3,209
Payback amount= $4,210.21
Simple interest= 4,210.21-3,209= 1001.21
time= 4 years
We know that
SI= PRT/100
1001.21= 3,209*R*4/100
cross multiply
1001.21*100= 12836R
100121/ 12836= R
R=7.80
Hence the rate is 7.80%
Please help the problems are in the picture provided below.
Answers
Answer:
Top Left= 40yd²
Top Right= 441yd²
Bottom Left= 21ft²
Bottom Right= 105ft²
Step-by-step explanation:
Top left- 10×4= 40
Top right- 21×21= 441
Bottom right- 7×3= 21
Bottom left- 15×7=105
An urn contains 3 red and 5 orange marbles. 2 marbles are selected without replacement. Find the probability that the second marble selected is orange given that the first marble selected is orange.
Answers
Answer: [tex]\dfrac{5}{14}[/tex]
Step-by-step explanation:
Given: An urn contains 3 red and 5 orange marbles.
Total marbles = 3+5=8
Probability of getting orange marble = [tex]\dfrac{\text{Number of orange marble}}{\text{Total}}[/tex]
[tex]=\dfrac{5}{8}[/tex]
Now marbles left = 7
Orange marbles left = 4
and Probability of getting orange marble = [tex]\dfrac47[/tex]
The probability that the second marble selected is orange given that the first marble selected is orange[tex]=\dfrac58\times\dfrac47=\dfrac{5}{2}\times\dfrac17=\dfrac{5}{14}[/tex]
Required probability= [tex]\dfrac{5}{14}[/tex]
Find BC to the nearest tenth. Does anyone know how to do this? I rlly need it now pls.
Answers
9514 1404 393
Answer:
41.4
Step-by-step explanation:
The Law of Cosines tells you ...
a² = b² +c² -2bc·cos(A)
where sides a, b, c are opposite angles A, B, C, respectively. Filling in the given numbers, you have ...
a² = 30² +26² -2·30·26·cos(95°)
a² ≈ 1711.96
a ≈ √1711.96 ≈ 41.38
The length of BC is about 41.4 units.
A function is given:
f(x) = 3x + 12
a. Determine the inverse of this function and name it g(x).
b. Use composite functions to show that these functions are inverses.
c. Evaluate f(g(–2)). Explain: What is the domain?
Answers
Answer:
See explanations below
Step-by-step explanation:
Given the function
f(x) = 3x+12
Let y = f(x)
y = 3x+12
Replace y with x
x = 3y+12
Make y the subject
3y = x-12
y = (x-12)/3
Hence the required inverse is!
g(x) = (x-12)/3
b) To show that the functions are inverses, we must show that f(g(x)) = g(f(x))
f(g(x)) = f((x-12)/3)
Replace x in f(x) with x-12/3
f(g(x)) = 3(x-12)/3 +12
f(g(x)) = x-12+12
f(g(x)) = x
Similarly for g(f(x))
g(f(x)) = g(3x+12)
g(f(x)) = (3x+12-12)/3
g(f(x)) = 3x/3
g(f(x)) = x
Since f(g(x)) = g(f(x)) = x, hence they are inverses of each other
c) Given f(g(x)) = x
f(g(–2)) = -2
The domain is the input variable of the function. Hence the domain is -2
In a series of operations without grouping symbo,multiplication and division are performed first TRUE or FALSE?
Answers
Answer:
TRUE
Step-by-step explanation:
P.E.M.D.A.S
parenthesis
exponents
multiplication
division
addition
subtraction
You make a profit of $2 for each baked good (b) you sell in your fundraiser. Which
equation could help you determine how many you need to sell to earn your goal
of $950? *
How many baked goods do you need to sell to meet your goal
Answers
Answer:
an equation to find it could look like:
950=2x
you need 425 sold baked goods to reach your goal
Step-by-step explanation:
how do I explain?
Answer:
1. 2x = 950
2. you will need 475 baked goods to meet your goal.
Step-by-step explanation:
For the group that studied in Question #8...
Studied: 87, 100, 94, 79, 92, 100, 95, 83, 89, 99, 100, 91, 89, 95, 100, 93, 96, 83
Did Not Study: 82, 72, 45, 91, 58, 83, 65, 87, 90, 77, 73, 89
...what is the mean absolute deviation of the group, rounded to the nearest tenth?
Answers
Answer:
93
Step-by-step explanation
add all of the numbers and devide them by the amount of numbers there are.
Directions: Tell whether the following are characteristics of stocks or bonds. Write stock or
bond
1. A form of equity financing or raising money by allowing investors to be part owners of
the company.
2. It can be appropriate for retirees or for those who need the money soon
3. Investors can earn if the security prices increase, but they can loose money if the
security prices decrease or worse if the company goes bankrupt.
4. A form of debt financing or raising money by borrowing from investors
5. Investors are guaranteed interest payments and a return of their money at the maturity
date
Answers
Answer:
I need help with my question. can someone help me
What are the scale factor and center of dilation?
Answers
Answer:
Step-by-step explanation:
A ride in a taxi costs a flat rate of $4.25 and $1.75 per mile.
If my bill was $14.75, how many miles did I ride?
Answers
Answer:
6
Step-by-step explanation:
take 14.75 and minus the flat rate of 4.25 and then divide the 1.75 per mile and you get that you rode 6 miles
Find the slope!!
and quick
Answers
Answer:
they are doing a multiples of -8
Answer:
The answer is - 8
Step-by-step explanation:
[tex]slope = \frac{y2 - y1}{x2 - x1} \\ by \: using \: any \: two \: point \: \\ then \: slope = \frac{ - 16 - ( - 8)}{2 - 1} = \frac{ - 8}{1} \\ slope = - 8[/tex]