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
CAN SOMEONE GIVE ME THE STEPS I HAVE THE ANSWERS I JUST NEED THE STEPS
Answers
Problem 1:
1) 3/5x-1 x 3/4=9/10
3x/5-1 x 3/4=9/10
2) 3x/5-1 x 3/4=9/10
3x/5-3/4=9/10
3) 3x/5-3/4=9/10
+3/4 +3/4
4) 3x/5=33/20
5) 5 x 3x/5= 5 x (33/20)
6) 3x=33/4
7) 3x=33/4
/3 /3
8) x=11/4
Problem 2:
1) 6/7+2/5x=-4/5
6/7+2x/5=-4/5
2) 6/7+2x/5=-4/5
-6/7 -6/7
3) 2x/5= --58/35
4) 5 x 2x/5= 5 x (--58/35)
5) 2x= --58/7
6) 2x= --58/7
/2 /2
x= --29/7
Please help me asap.......
Answers
Answer:
I'm pretty sure its A.
Step-by-step explanation:
There would be mirrors reflecting off of each other to get the light to reflect him in a different place
Uh help please f(6)=1x+2
Answers
6+2
8
The answer is 8.
Find the component form of the vector that represents the velocity of an airplane at the instant its wheels leave the ground, if the plane is going 75 miles per hour and the body of the plane makes an9° angle with the horizontal.
Answers
Answer:
The component form of the vector that represents the velocity of the airplane is [tex](74.1 i , \ 11.73j)\ mph[/tex]
Step-by-step explanation:
Given;
velocity of the airplane, v = 75 mph
direction of the plane, θ = 9°
The vertical component of the velocity is given by;
[tex]V_y = vsin\theta\\\\V_y = (75)(sin \ 9^0)\\\\V_y = 11.73 \ mph[/tex]
The horizontal component of the velocity is given by;
[tex]V_x = vcos \theta\\\\V_x = (75)(cos9^0)\\\\V_x = 74.1 \ mph[/tex]
Therefore, the component form of the vector that represents the velocity of the airplane is given as;
[tex](V_x , \ V_y) = (74.1 , \ 11.73)\ mph[/tex]
a cone has a volume of 33 cubic inches. of a cylinder has the same height and radius as the cone, what is the volume of the cylinder
Answers
Answer: 40 cubic inch
Step-by-step explanation:
Clarissa has a budget of $1,200 a month to spend for rent and food. She has already spent $928 this month. Which inequality represents the amount she can still spend this month and remain within her budget?
Answers
Answer:
the answer is x ^ 272
Step-by-step explanation:
subtract
Answer:
its B
Step-by-step explanation:
I got 100 on the quiz
me need help. xjjd j dsj
Answers
Answer:
$4.67
Step-by-step explanation:
John + 2 friends = 3
Total cost = $14
$14/3 = $4.6666
$4.6666 ---> $4.67
Consider Brainliest! Hope I helped!
In class of 30 students there are 16 girls what is the ratio of boys to girls in the class
Answers
Answer:
No. of boys in class = 30-16=14
so,ratio=14:16
=7:8
Simplify completely:
Answers
Answer:
(3)¼×¾
Step-by-step explanation:
3⁴/⁴
hope its write
Answer:
[tex]\frac{13}{4}[/tex] · [tex]\frac{15}{4}[/tex]
Step-by-step explanation:
Focusing on the first fraction, in order to simplify it, you have to multiply the denominator by the whole number; 4 x 3 is 12. You add the product to the numerator, so 12 + 1 would be 13. Therefore, the first fraction simplified would be [tex]\frac{13}{4}[/tex].
We can apply the same procedure to the next fraction, so 3 x 4 is 12, and 12 + 3 is 15. [tex]\frac{15}{4}[/tex] would be your answer.
Hope this helps! :)
Lisa's school requires each student to earn 75 hours of community service each year. Lisa has
already earned 27 hours. She plans to earn the remainder of her hours by volunteering at a
nursing home. If Lisa spends 2 hours at the nursing home per visit, which equation represents the
number of visits, v, that Lisa will need to make to fulfill her community service requirement?
Answers
Answer:
v=24
Step-by-step explanation:
The expression 2x² + ax is equivalent to x (2x + 7) for some constant a. What is the value of a ?
Answers
2x^2 + ax = 2x^2 + 7x
Subtract 2x^2 from both sides
ax = 7x
a = 7
what is 10÷1/3 and the answer had to be a whole number
Answers
Answer:
30
Step-by-step explanation:
your basically multiply, that's how I think about it
10 · 3
Five more than the product of a number and three is negative twenty-five.
Answers
Explanation:
3x + 5 = -25
3x = -30
x = -10
Triangles ABC and DEF are similar. Find e.
A.) 11
B.) 12
C.) 10
D.) 9
Answers
Answer:
C) 10
Step-by-step explanation:
The triangle on the right shows that the side AB is 4 and the triangle on the left shows that the side DE is 8. Based on these two numbers I can conclude that the triangle DEF is double the size of triangle ABC. With this information, I can find e by doing 5*2=e and get 10 as my answer.
Hope this helps you :)
this is about angle pairs
Answers
Angle 4 is vertical to angle 3, so 3 is 72.
All straight lines are 180. 180-72=108. So angle 2 is 108. Angle 5 is vertical to angle 2 so it’s 108 as well. angle 2 is corresponding to angle 1 so it’s also 108.
If you have 382 blocks that cost 44$ how much would it cost for 1 block
Answers
Answer:
Im pretty sure the answer in $8.70
Step-by-step explanation:
All you have to do is 382 divided by 44
Answer:
about 0.12 cents dollars or 12 cents.
Step-by-step explanation:
I divided 44 and 382. Hope this helps!
Using bangle side relationship theorem use the angle measures to list the side lengths of the triangle in order from longest to shortest
Answers
Answer:
AC= longest side
BC=middle side
AB=shortest side
Step-by-step explanation:
there is 180 degrees in a triangle, therefore
95+50=145
180-145=35
so we have angles 95, 50, 30
and we know that the side opposites with the angle corresponds to how big the side will be compared to the other sides
Therefore,
AC= longest side
BC=middle side
AB=shortest side
In the equation 0.5x-8=1.5 the decimal coefficient is
Answers
Answer:-9.5
Step-by-step explanation:
Answer:
0.5
Step-by-step explanation:
The coefficient is the number that multiply the variable, in this case x.
Solve the system using a method of your choice
Answers
Answer:
(4, 1)
Step-by-step explanation:
Method elimination would be good for this system
2x - y = 7 ........ (1)
x + y = 5 ......... (2)
(1) + (2)
3x = 12 ⇒ x = 4
4 + y = 5 ⇒ y = 1
(4, 1)
Y= 0.75
4.25 +0.75 = 5
4.25 - 0.75 = 3.5
If AC = 37 BC = 5x + 6, and AB = 2x + 3 Find BC
Answers
AC=37
BC=5X+6
AB=2X + 3
2x + 3 + 5x + 6 = 37
7x + 9 = 37
7x = 28
x = 4
BC = 5(4) + 6
BC = 26
Answer = BC = 26
3. The sum of the two numbers is5/9
If one of the numbers is
1/3 find the other
Answers
Step-by-step explanation:
let the one number be X.
and
second one 1/3
then
1/3 +X = 5/9
X = 5/9-1/3
X =( 5-3) /9
X = 2/9 Ans
Answer:
The other number will be 2/9.
Step-by-step explanation:
Let the second fraction be x :
[tex] \frac{1}{3} + x = \frac{5}{9} [/tex]
[tex]x = \frac{5}{9} - \frac{1}{3} [/tex]
[tex]x = \frac{5}{9} - \frac{3}{9} [/tex]
[tex]x = \frac{2}{9} [/tex]
The diagram below shows the side view of a ramp used to help load and unload a moving van.
Ramp
3 ft
9 ft
Which measurement is closest to the length of the ramp in feet?
9.5 ft
13.5 ft
8.5 ft
10.5 ft
If u get it right I will mark Brainliest!!
Answers
Answer: 9.5
Step-by-step explanation: I got it right in my test :)
Answer:
9.5 ft would be the closest to the length of the ramp in feet.
Step-by-step explanation:
I had the exact same question on my test, I got it correct :)
1) (-8,-8), (8,4)
Find the slope of the line through each pair of points
Answers
Answer: 3/4
Step-by-step explanation:
-4x-y=24 missing value
Answers
Answer:
For solving x x= -24+y/4 For solving Y y=−24−4x
Step-by-step explanation:
This is solving for x
Add y to both sides.
−4x=24+y
Divide both sides by -4
and the answer is
x= -24+y/4
THis is solving Y
Add 4x to both sides
−y=24+4x
Multiply both sides by -1
and the answer is
y=−24−4x
Janet answered 4 out of 5 correctly on her test. What percent of the questions did she answer
correctly?
Answers
Answer:
80%
Step-by-step explanation:
you divide 4 and 5. Which equals 80
Answer:
80%
Step-by-step explanation:
1/2(-4+6n)=1/3n+2/3(n+9)
Answers
The correct answer is n=4:)
Answer:
n= 4
Step-by-step explanation:
Which of the following shows 2/25 is written as a percent?
2%
8%
12%
25%
Answers
Answer:
8%
Step-by-step explanation:
2/25*100
=8%
Your job is to sort and stack marblesfor sale. A bag contains 44 marbles, and some green. If there are 11 red marbles, what is the ratio of green to red marbles
Answers
Answer:
3 : 1
Step-by-step explanation:
Given that :
Total Marbles in bag = 44
Color of marbles in bag : red, green
Number of red marbles = 11
The ratio of green to red marbles :
Number of green marbles :
(Total marbles in bag - number of red marbles)
(44 - 11) = 33 green marbles
Hence, ratio of green to red Marbles:
Number of green marbles : number of red marbles
33 : 11
3 : 1
Answer:
The correct answer is 2:1.
Step-by-step explanation:
I did the K12 assignment and is said this was the right answer.
Donny joined a club that costs $40 per month. Is the cost over time a proportional or non-proportional relationship?
Answers
Answer:
The cost over time is a proportional relationship
Step-by-step explanation:
Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality"
if f(x) = 3x-2 and g(x) =2x+1 find (f+g)(x)
A. 5x-1
B. 5x-3
C. x-1
D. x-3