Answers
9514 1404 393
Answer:
y = 8√3
Step-by-step explanation:
In the 30°-60°-90° "special" triangle, the ratio of sides lengths is ...
1 : √3 : 2 = 8 : y : hypotenuse
In order for these ratios to be equal, we must have ...
y = 8√3
__
If you want to solve this using your trig skills, you recognize that ...
Tan = Opposite/Adjacent
tan(30°) = 8/y
y = 8/tan(30°) . . . . where tan(30°) = 1/√3
y = 8√3
Related Questions
Given sin^2 x = (1 - cos(2x))/2 Prove: sin(x/2) = plus/minus sqrt((1 - cos(x))/2) Prove Complete the steps of the proof
Answers
Answer:
1. half angle
2. x
Step-by-step explanation:
The missing parts of the proof is the variable x.
What are Trigonometric Functions?Trigonometric functions are those functions which are the ratio of the sides of a right angled triangle.
Given,
sin² (x) = [1 - cos (2x)] / 2
We have to prove sin ([tex]\frac{x}{2}[/tex]) = ± [tex]\sqrt{\frac{1-cos (x)}{2} }[/tex]
First, we have
sin² (x) = [1 - cos (2x)] / 2
Substituting x/2 in place of x, we get,
sin² (x/2) = [1 - cos (2x/2)] / 2
sin² (x/2) = [1 - cos (x)] / 2
sin² ([tex]\frac{x}{2}[/tex]) = [tex]{\frac{1-cos (x)}{2} }[/tex]
Taking square root on both sides,
sin ([tex]\frac{x}{2}[/tex]) = ± [tex]\sqrt{\frac{1-cos (x)}{2} }[/tex]
Hence it is proved.
Learn more about Trigonometric Functions here :
https://brainly.com/question/6904750
#SPJ2
A test is 45 minutes long. There are 3 sections of the test that each take an equal amount of time. How many minutes m is each section of the test? Write an equation to represent the number of minutes for each section.
Please help me
Answers
Answer:
15
Step-by-step explanation:
Answer:
each section takes 15 minutes long
Step-by-step explanation:
An equation you can use to get this is 45 ÷ 3 = x
x = 15
so the answer to the equation would be 45 ÷ 3 = 15
Write an equation of a line that has an x-intercept of -2 and a y-intercept of 6.
Answers
Answer:
y=6x+4.
Step-by-step explanation:
y=mx+b
m=6. b=4.
5. Your students have been working on algebra equations involving inequalities. The
rule for learning the > sign is:
ОООО
A) the arrow has nothing to do with numbers.
B) the arrow always points to the largest side.
the arrow always points to the smallest side
D) the opening of the arrow is always on the smallest side.
Answers
Answer:
C) the arrow always points to the smaller side
Step-by-step explanation:
if you struggle to remember think of it as a crocodile going for the highest amount of 'food', in this case the food is the number
Answer: C, the arrow always points to the smallest side.
Step-by-step explanation:
A way of remembering which way the '>' sign goes is to think of it as a crocodile mouth (the open bit) and the crocodile wants the most food (the biggest number).
pls helpppp with explanation pss
Answers
Step-by-step explanation:
27 cubes are needed because you could need a 3×3 ×3 cube
What is 7-4/6 ?
What is 234-303+93847?
Answers
Answer:
7-4/6 = 6.33333333333
234-303+93847 = 93778
Step-by-step explanation:
please help me with this math project (photo linked). (7th grade unit 3) check my other questions plsss (last one)
Answers
1. -3x - 17
2. -24x + 25
3. 2x + 4
4. -9x -9
5. 7x - 2
A person earns $23 comma 600
one year and gets a 5% raise in salary. What is the new salary?
Answers
Answer:
la respuesta que buscas es bastante simple pero no lo sé
Step-by-step explanation:
If point M (4, 6) is rotated 90 degrees clockwise around the origin, what are the coordinates of the copy for point M?
Answers
Answer:
6,-4
Step-by-step explanation:
The new position of point M (h, k) will become M’ (k, -h).
Answer:4,-5
Step-by-step explanation:
Real answer not a scam
Answers
Answer:
Area = 240 cm²
Step-by-step explanation:
Area of the shape = area of rectangle + area of triangle
= L*W + ½*bh
L = 18 m
W = 10 m
b = 10 m
h = 30 - 18 = 12 m
Plug in the values
Area of the shape = 18*10 + ½*10*12
= 180 + 60
= 240 cm²
(this is a practice question)
Answers
Answer:
<GHI = 135 degrees
Step-by-step explanation:
(3x + 12) + (x + 4) = 180
4x + 16 = 180
4x + 16 - 16 = 4x
180 - 16 = 164
4x = 164
4x / 4 = x
164 / 4 = 41
x = 41
3 * 41 + 12
3 * 41 = 123
123 + 12 = 135
find each angle measure.( Diagrams are not drawn to scale)
Answers
2= 73°
3=107°
i think
What is |-8/?
1-16
-8
8
16
Answers
solve for the missing side
Answers
Answer: 8
Step-by-step explanation: you have to cross multiply 6 and 4 to get 24. 24/3 is 8
Hope this helps
you are correctyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy
Answers
Answer:
yayyy
Step-by-step explanation:
Answer:
Aww Thanks :)
Step-by-step explanation:
if there are only 2 of a particular stamp remaining out of 5000 originally printed, what percent remains today?
Answers
A 4-foot-long sandwich is cut into servings that are each ; foot long. How many servings will there be after the sandwich is cut?
Answers
Answer:
$ because there are 4ft cut into one foot each equals 4
Step-by-step explanation:
Sandra saves 12% of her salary for retirement. This year her salary was $3,000 more than in the previous year, and she saved $4,200. What was her salary in the previous year?write an equatio____.sandre's salary in the previous year was___
Answers
Answer:
44
Step-by-step explanation:
POSSIBLE POINTS. 1
On the written portion of her driving test, Leslie answered 65% of the questions correctly. If Leslie answered 78 questions correctly, how many questions were on
the driving test?
What part is missing?
O percent
a
ASAP!!!
Answers
Answer:
Step-by-step explanation:
FREE BRAINLIEST IF RIGHT
Answers
Answer:
D is the only one that matches up if I remeber how to do this correctly
Answer:
Yes it is d I agree with him
Step-by-step explanation:
Can someone help me and not be a troll.... I’ll reward points + brainalist
Answers
Answer:
The answer is 69.5
Step-by-step explanation:
First u wanna find the area of the rectangle and since it already gives you the the height and width you want to multiply them together 13×4= 52
meanwhile triangle is 5ft tall and the base is 7ft
using the formula to solve for area of a triangle you would multiply height and base and divide by 2
you should end up with 17.5 then u add that to 52 and get 69.5 ♡ Hope this helps.
Five less than 10 times a number is -13.
Answers
Answer:
10 x X - 5 = -13
Answer:
Step-by-step explanation:
10x-5= -13
10x= -13+5
10x= -8
x= 10/-8
x= -1.25 or 5/-4
A rectangular prism has a length of 5 cm, a width of 7 cm, and a height of 4 cm. What is the volume of the prism?
Answers
Answer:
140
Step-by-step explanation:
V=whl=7·4·5=140cm³
Answer:
140cm^3
Step-by-step explanation:
It is 140 because volume is base x length x height so 7 x 5 x 4 = 35 x 4 = 140 cm cubed so 140cm^3
Hope this helps
Tarzan is making his mom a card for her birthday. He drew a model of the card before he created it. The model is shown below.
The front of the card is shown. If Tarzan covers the whole front side of the actual card with decorative paper, how much paper would he need? you may use exact answers or round to the nearest hundredth.
Answers
Answer:
The area of a triangle uses the equation:
A = ab/2
a = 12
b = 9
A = 12 * 9 / 2
A = 54 inches
54 / 3 = 18
He needs 18 feet of paper
Solve the following proportion for
y
y
4
=
11
17
Round your answer to the nearest tenth.
please helppp
Answers
The scale on a map is 1in. = 2 mi. On the map, Greg’s house is 4in. from Melissa’s house. What is the actual distance from Greg’s house to Melissa’s house?
Answers
The distance from Greg's house to Melissa's is 8 mi.
Step-by-step explanation:
Multiply 4 by 2.
x^{2}+y^{2}=\left(6\right)^{2}
Answers
Answer: What is your question?
What is 2 7/12 written as a decimal?
OA) 0.2583
OB) 2.583
C) 2.583
OD) 5.83
Answers
Answer:
its 2.583333333 and repeating so it would be 2.583
Need the answer ASAP
Answers
Answer:
63
Step-by-step explanation:
To find the area of a trapezoid you have to use the formula
a+b/2 h
So we would substitute them
3 + 15 / 2 x 7
Which would equal
63
Hope this helps :)
If another sample of size 100 is taken, what is the probability that its sample mean will
be greater than 2.56 in?
Answers
Answer:
I don't know the answer to this but
Suppose we draw a sample of size n=16 from this population and want to know how likely we are to see a sample average greater than 22, that is P( > 22)? So the probability that the sample mean will be >22 is the probability that Z is > 1.6 We use the Z table to determine this: P( > 22) = P(Z > 1.6) = 0.0548.
Step-by-step explanation: