HELPPP!! which of the following could be the ratio between the lengths of two legs of a 30,60,90 triangle
check all that apply:
whoever gives me the correct answer gets brianliest
Answers
Answer:
[tex]\sqrt{3}:3\\1:\sqrt{3}[/tex]
Step-by-step explanation:
Trigonometric Ratios
The ratios of the sides of a right triangle are called trigonometric ratios. There are six trigonometric ratios, sine, cosine, tangent, cosecant, secant, and cotangent.
The longest side of the triangle is called the hypotenuse and the other two sides are the legs.
Selecting any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides.
The tangent ratio is defined as:
[tex]\displaystyle \tan\theta=\frac{\text{opposite leg}}{\text{adjacent leg}}[/tex]
The cotangent ratio is defined as:
[tex]\displaystyle \cot\theta=\frac{\text{adjacent leg}}{\text{opposite leg}}[/tex]
As shown above, the tangent and the cotangent are the ratios of the two legs in any possible order.
If the triangle has angles of 30°, 60°, and 90°, then we can take one of the acute angles and find the tangent and cotangent to know the required ratios:
Let's take for example the 30° angle:
[tex]\displaystyle \text{ratio of legs: }\tan 30^\circ=\frac{\sqrt{3}}{3}[/tex]
[tex]\displaystyle \text{ratio of legs: }\cot 30^\circ=\sqrt{3}[/tex]
Thus the possible ratios from the list are:
[tex]\sqrt{3}:3\\1:\sqrt{3}[/tex]
The reciprocals of those ratios are also applicable
Related Questions
COULD I PLS GET HELP WILL GIVE BRAINLIEST IF POSSIBLE
Answers
Answer:1. f(x) is translated 15 units to the left 2. f(x) is vertically stretched
Step-by-step explanation:
I took this class last year
Answer:
f(x) is translated 15 units to the left 2. f(x) is vertically stretched
Step-by-step explanation:
If solving a system of linear equations by elimination or substitution I get that 2=3, it means (check all that apply)
If the system of equations is 2 linear equations in 2 variables, there is infinity number of solutions
If the system of equations is 3 linear equations in 3 variables, there is infinity number of solutions
If the system of equations is 2 linear equations in 2 variables, the system has no solutions
If the system of equations is 3 linear equations in 3 variables, the system has no solutions
Answers
Answer:
If I get 2=3 in solving the system, it means the following:
If the system of equations is 2 linear equations in 2 variables, the system has no solutions If the system of equations is 3 linear equations in 3 variables, the system has no solutionsStep-by-step explanation:
The solution of linear system of equations implies that a point has to be found that holds true on all equations involved.
The system may consist of two equations involving two unknowns or may consist of three equation with three unknowns.
When a system of equation has no solution, the variables are removed in solving the equations and we get an equation or values in the form.
constant = constant
So,
If I get 2=3 in solving the system, it means the following:
If the system of equations is 2 linear equations in 2 variables, the system has no solutions If the system of equations is 3 linear equations in 3 variables, the system has no solutionsMath is the only place where is not questionable as to why someone has 83.
Answers
Answer:
true
Step-by-step explanation:
help meee will mark brainliest
Answers
Answer:
I believe it is B -4/5 I am sorry if I am wrong. If I am right hope this helps and please mark brainlist.
Write the number 2.1 x 10-6 in standard form.
Answers
If amna bought 1/3 pounds of sausages on Sunday and 2/5 of Turkey on Monday. How much more Turkey did she buy ?
Answers
Answer:
1/15
Step-by-step explanation:
1/3=5/15
2/5=6/15
6/15-5/15=1/15
PLEASE GIVE BRAINLIEST
Answer:
Amna bought 1/15 pounds of turkey more on Monday than she bought on Sunday.
Step-by-step explanation:
Turkey bought on Sunday = 1/3 pounds
Turkey bought on Monday = 2/5 pounds
2/5 - 1/3
= 6/15 - 5/15
= 1/15
Help me please ddddd
Answers
Answer:
ok what do you need help[on
Step-by-step explanation:
Answer:
a) Yes, 23/51 people in the neighborhood drive a van, with 23 being the highest owned number for any car type.
b) People in my neighborhood drive sports cars the least.
SUV is the second most driven car in my neighborhood.
c) The number of people that dress up for spirit week per gender in each grade.
add (4x^2-xy-y^2) and (x^2+5xy+8y^2) simplify your answer:
Answers
Answer:
To find a, b, and c, rewrite in the standard form ax2+bx+c=0ax2+bx+c=0.
a=1, b=3, c=0
Answer:
4x^2-4xy-3\frac{y^2}{2}x^2-5xy-3y^2 is 2
−3x^2 y^2 +8x^2 −18xy−6y^2
Step-by-step explanation:
Please I need this
Answers
Answer:
1) not
2) QE
3) QE
4) QE
5) QE
6) QE
7) QE
8) not
9) QE
10) not
hope this helps you!
In a game, players have 60 seconds to toss rings into boxes.
Rings that land in green boxes, g, earn 5 points
Rings that land in blue boxes, b, earn 10 points
Players must earn at least 50 points to win
Which inequality models the combination of tosses needed to win?
Answers
Answer: g*5 + b*10 ≥ 50.
Step-by-step explanation:
Let's define g = number of rings that land in green boxes.
and b = number of rings that land in blue boxes.
For each ring in the green box you earn 5 points, then if there are g rings in the green box, you have g*5 points.
And for the blue is similar, if there are b rings in the blue box, you will have b*10 points.
Then the total number of points that you will get is:
T = g*5 + b*10.
And the minimum that you need to win is 50 points, the inequality will be:
T ≥ 50
or
g*5 + b*10 ≥ 50.
Find the total interest:
$520 at 2%
for 6 years
Answers
The interest is %2 of 520 which, if you do the math, is 10.4 cents. You want to find out how much interest it is for 6 years so you have to multiply them.
10.4 x 6 = 62.4
The total interest for 6 years is $62.4
your welcome
Express 4/10 as a decimal number, and identify another decimal number that is equal to it. 4/10 expressed as a decimal number is ___, which is equal to ___
Answers
Answer:
Step-by-step explanation:
Decimal number in mathematics is one in which the whole number and the fractional part is separated by a decimal point
If we divide 4 by 10 it will give us a a decimal number which was done below
4/10
=0.4
And also if we divide 40 by 100 we will still have a decimal of 0.4
0.4=40/100
Express 4/10 as a decimal number, and identify another decimal number that is equal to it. 4/10 expressed as a decimal number is 0.4 which is equal to _40/100__
Brainliest to right answer also based on answer 1 are the equations equivalent?
Answers
Answer:
Yes, they are equivalent, and the second question is B
Step-by-step explanation:
If you add x on both sides of equation A, then it comes up to 5x+2=6, which is equivalent to equation B. For the second question, you are just basically adding a variable to each side, so it is B.
can someone help me with this?
Answers
Answer:
Step-by-step explanation:
If you write 1 instead of y, x would be 5/8 so ratio is 1/5:8=8/5
Which of the following expressions are equivalent?
Your answer:
(5*4)*1=5+(4*1)
5+(1+3)= (5+1) +3
5-(1-3)=(5-1)-3
5 ÷ 2= 2 ÷ 5
Answers
Answer:
the second option
Step-by-step explanation:
5+(1+3)= (5+1) +3
hope this helps :)
Use substitution to solve each system of equations.
Explain step by step and I'll mark you Brainliest.
16x - 4y = 18
x = -6y - 7
Answers
When you use the substitution method you need to plug a value into the corresponding variable of another equation.
In this occasion,"-6y-7" can be plugged into the x of "16x-4y=18" because it represents the x.
16(-6y-7)-4y=18
Distribute 16 into the parentheses
-96y-112-4y=18
Combine like terms
-96y-4y-112+112=18+112
-100y=130
Divide by -100 to get y by itself
y=-1.3 or -13/10
Now plug the y into any equation...I chose "x = -6y - 7" but it doesn't matter
x= -6(-1.3)-7
x=-14.8 or 4/5
Answer:
Step-by-step explanation:
1. 16x-4y=18
4x-9/2:2x+9/8
4x-9/2:m=4
y=4x-9/2
2. x=-6y-7
1/6x-7/6:-6x-7
Equation of the circle. Please help.
Answers
Explain the economic activities of the people in North America.
Answers
The people living in the north America are involved in different economic activities like animal husbandry, industries, services, farming, fishing etcc …
i need help no this
Answers
Answer:
a) 0.8
b) 0.075
c) 0.04
d) 3.3125
Step-by-step explanation:
To find the decimal of a fraction, just divide.
And if it's a mixed number, first turn it into an improper fraction. For 3 5/16 multiply 3 by 16 then add the product to 5. It would be 53/16
Every female bear has 3 baby cubs. What is the constant of proportionality for the ratio of cubs to female bears? (4 points)
one-half
one-third
3
2
Answers
***3***
The constant of proportionality for the ratio of cubs to female bears is 3.
The constant of proportionality is typically used when we are comparing something with another thing.
In this case, since every female bear has 3 baby cubs, the constant of proportionality for the ratio of cubs to female bears will be:
= 3/1
= 3
In conclusion, the correct option is 3.
Read related link on:
https://brainly.com/question/18636645
Find the value of 4x-6y when x=3 and y=-2
Answers
Answer:24
Step-by-step explanation: 4(3)= 12. -6(-2)= 12 Add them, equals 24
4x-6y
4(3)-6(-2)
12+12=24
There are 12 adults and 14 children at a picnic. What is the ratio of adults to total people at the picnic?
Answers
7. Elijah's puppy weighs 35 ounces. If he weighed 19 ounces at the last visit
to the veterinarian's office, what is the percent increase in the puppy's
weight rounded to the nearest whole number?
Answers
Answer:
40 make me brainliest whbsbsvssvvsgwvwv
Answer:
52%
Step-by-step explanation:
so 35 is a hundred and the divide by 2 which is 17.5 and round the colosestwhich is 52
What is the value of b? b+4 b+38 b-19
Answers
Answer: For the first one b can be a higher or lower number
for the second one b can be a higher or lower number and the last one must be a higher number
Step-by-step explanation:
hope this helps :D
write the equation of a line that has a slope of -1 and passes though (-4,9)
Answers
PLS HELP I WILL HELP BACK 15 POINTS WILL GIVE BRAINLIEST Write the equation of a polynomial, in standard form, that has:
Zeros: 3, -2/5, 3i
leading coefficient of -5
Answers
Answer: -5x^3 -13x^2 -6x + 15ix + 39ix + 18i
Step-by-step explanation:
An equation with zeros at these numbers could be put in form x = number.
So, (x-3) could be set to 0 to get x=3.
So, you can look at these "answers" they give you and work backward to get:
(x-3)(x+2/5)(x-3i)
Multiply first two together.
x^2+2/5x-3x-6/5
simplify
x^2 - 2 3/5x -6/5
Change first term to have same denominator by multiplying by "1" in the form of -5/-5
-5x^2/-5 - 13/5x -6/5
Divide all terms by 1/5 (which is the same as multiplying each term by 5)
(-5x^2 -13x -6)
Now multiply by (x-3i)
-5x^3 -13x^2 -6x + 15ix + 39ix + 18i
Ryan achieved an 89% on the same multiple choice test. He answered some questions correctly, left at least one blank and
got at least one wrong answer. He also got some possible points for extra credit. Give one possible answer combination of the
questions Ryan could have answered on the multiple-choice test.
Answers
Answer:
Ryan could have answered multiple choice answers and true or false answers rather than knowledge answer like written prompts
Step-by-step explanation:
Hope this helped:)
write an algebraic equation to represent the situation
3 increased by twice the number of dollars Rhonda made yesterday was 12.
A. 3d+2=12
B.2d×3=12
C.2d+3=12
D.3d×2=12
Answers
Answer:
C. 2d+3=12
Step-by-step explanation:
What is the interval?
Answers
Convert 22 yards into feet. Use the rate suggested by the equation 3 feet = 1 yard.
22 yards = ? feet
Answers
66 feet
22 yards x 3 feet in every yard = 66 feet