Answers
Answers:
x = 7*sqrt(3)
y = 7
===========================================================
Explanation:
We have a 30-60-90 triangle here since the missing acute angle is 90-60 = 30 degrees. Or you could note how 30+60+90 = 180.
The side length y is the shorter leg as it's opposite the smallest angle. It's equal to half of the hypotenuse. So y = 14/2 = 7.
The longer leg x is equal to y*sqrt(3). We multiply the shorter leg by sqrt(3) to get the longer leg. This means
x = y*sqrt(3) = 7*sqrt(3)
----------
You could also use the pythagorean theorem if you knew that y = 7 and you had the hypotenuse value as well. You could solve like so
a^2 + b^2 = c^2
7^2 + b^2 = 14^2
b^2 = 14^2 - 7^2
b^2 = 147
b = sqrt(147)
b = sqrt(49*3)
b = sqrt(49)*sqrt(3)
b = 7*sqrt(3)
Which matches up with the value of x we found earlier.
Related Questions
he National Center for Health Statistics interviewed 5409 adult smokers in 2015, and 2666 of them said they had tried to quit smoking during the past year. Consider this to be a random sample. Find a 95% confidence interval for the proportion of smokers who have tried to quit within the past year. (Round the final answers to three decimal places.) The 95% confidence interval is ( , ).
Answers
Answer:
95% confidence interval for the proportion of smokers who have tried to quit within the past year
(0.47956 ,0.50620)
Step-by-step explanation:
Step(i):-
Given that National Center for Health Statistics interviewed 5409 adult smokers in 2015
Sample size 'n' = 5409
Given that 2666 of them said they had tried to quit smoking during the past year.
proportion
[tex]P = \frac{x}{n} = \frac{2666}{5409} = 0.49288[/tex]
Q = 1 - P = 1 - 0.49288 = 0.50712
Step(ii):-
95% confidence interval for the proportion of smokers who have tried to quit within the past year
[tex]({P - Z_{0.05} \sqrt{\frac{PQ}{n} } , P + Z_{0.05} \sqrt{\frac{PQ}{n} )[/tex]
[tex]({0.49288 - 1.96 \sqrt{\frac{0.49288 X 0.50712}{5409} } , 0.49288 + 1.96\sqrt{\frac{0.49288 X 0.50712}{5409} )[/tex]
(0.49288 - 0.01332 , 0.49288+0.01332)
(0.47956 , 0.50620 )
Final answer:-
95% confidence interval for the proportion of smokers who have tried to quit within the past year
(0.47956 ,0.50620)
Find the value of x.
PLEASE HELP
Answers
What is the best approximation for the area of a semicircle with a diameter of 11.8 feet? Use 3.14
Answers
Answer:
109.3
Step-by-step explanation:
The area of a circle is 3.14 multiplied by the radius squared and the radius is the diameter divided by two which is 5.9. so the equation would be 3.14 times 5.9 squared
What is the exact mean or average number of crabs found per site? 
Answers
Answer:
just add them however many crabs their are just add all of the totals together then divide your answer by two.
SOMEONE PLEASE HELP ME ASAP!!! GIVING 18 POINTS
Answers
Answer:
247.5
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
First, we solve 9x9-10/2=35.5
35.5-5=30.5
9x30.5=274.5
Please give brainliest.
Have a great day/night!
What is 6 over 10 plus 13 over 100
Answers
Answer:
73/100
73 over 100
in triangle ABC shown below, L is the midpoint of BC, M is the midpoint of AB, and N is the midpoint of AC. Find the perimeter of trapazoid BMNC.
Answers
35
since m and n are the midpoints of ab and ac resistively
then ,bc=2mn=16
since m and l are the midpoints of ba and bc respectively
then, ac =2mn =10
then,nc =1/2 × 10 =5
similary, mb=6
then ,perimeter=nc+mb+mn+bc=5+6+8+16=35
Find the circumference of a circle with area of 676 pie square meters
Please show work
Answers
Step-by-step explanation:
A= πr^2
r = √(A/π)
r = √(676π/π)
r = 26
C = 2πr
52π
= 163.36
Answer:
52 pie square metres
Step-by-step explanation:
area of a circle=pie r^2
pie r^2=676pie
r^2=676
r=26m d=52
circumference=pie d
52 pie square metres
Find tan 0.
(Marking brainliest if correct)
8/17
15/17
15/8
8/15
Answers
Answer:
15/8
Step-by-step explanation:
Assuming you mean tan theta
Tan(theta) = opposite/adjacent
We know the adjacent side is 8 so the bottom of the fraction must also be 8
C: 15/8 is the only option that fits this criteria
The value of tangent of the angle θ, i.e., tan θ = 15/8.
Hence the correct option is c.
Given is a right triangle, with base = 8 units and the hypotenuse is 17 units,
The angle θ which is between the base and the hypotenuse,
We need to find the value of tangent of the angle θ, i.e., tan θ.
To find the value of tangent (tan) of the angle θ, we can use the definition of tangent in a right triangle.
The tangent of an angle in a right triangle is equal to the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle.
In this case, the base of the triangle is given as 8 units, and the hypotenuse is given as 17 units.
To find the length of the side opposite θ, we can use the Pythagorean theorem.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
Using this theorem, we can calculate the length of the side opposite θ:
(side opposite θ)² + (base)² = (hypotenuse)²
(side opposite θ)² + 8² = 17²
(side opposite θ)² + 64 = 289
(side opposite θ)² = 289 - 64
(side opposite θ)² = 225
side opposite θ = √225
side opposite θ = 15 units
Now that we have the lengths of the side opposite θ and the side adjacent to θ, we can calculate the tangent of the angle θ:
tan θ = (side opposite θ) / (base)
tan θ = 15 / 8
Therefore, the value of tangent (tan) of the angle θ is 15/8.
Learn more about trigonometric function click;
brainly.com/question/25618616
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Abigail is using her mother's pancake recipe, but she wants to make 60% more pancakes than the recipe usually prepares. If her mother's recipe calls for 1/2 cup of flour, how much flour will Abigail need to use?
Answers
Answer:
1 and 1/4 cup of flour
Step-by-step explanation:
Abigail needs to use 3/4 cup more flour
Please help me I'm so bad at math and doing AFDA really doesn't help..
find a, b, c in this equation, much appreciated!
Answers
Answer:
Step-by-step explanation:
a= 2x square
b= -7x
c= 17
have a nice day!can you choose me brainliest?
need help with calculation:
you owe $2154.35 on your PBnJ credit card that has an interest rate of 9.85% APR, rather than placing $435 into a savings account earning 2.5% APR, you pay down the principal at the beginning of the month on the credit card. How much interest did you save? (HINT: Calculate the difference between the interest you would earn from the savings account and the interest you would pay on your credit card for the $435)
Answers
Answer:
if that $100 was on a loan or credit card, your debt could grow and grow until the interest you owe was more than the original principal! Credit Score or Rate. Your credit score is how well you pay off your credit .
Angle Relationship: Complementary OR Supplementary
Answers
Answer:
supplementary because this is not a 90 degree angle
also i know this person, if anyone want someone to do there homework they can text yktv.sham on insta gram and you can pay her
The slope of the line below is -2. Write the point-slope equation of the line
using the coordinates of the labeled point.
Answers
Answer:
[tex]y+6=-2(x-4)[/tex]
Step-by-step explanation:
Point-slope form is a way of representing a line by using one of its points and the slope of a line. Its general format is the following,
[tex](y-y_1)=m(x-x_1)[/tex]
Where (m) represents the slope, ([tex]x_1[/tex]) and ([tex]y_1[/tex]) represents a point on the line.
It is given that the slope of the line is (-2), and that the line has point (4, -6). Substitute this into the formula.
[tex](y-(-6))=-2(x-4)[/tex]
[tex]y+6=-2(x-4)[/tex]
find x
help please asap
Answers
Answer:
i think it is 51 degrees
Step-by-step explanation:
Elizabeth planted a garden in a 16 foot by 8 foot area. To calculate the square foot area of the garden, she multiplied 16 by 8 and got a product of 128 square feet Which equation could Elizabeth use to check her answer? A) 16 x 8 = 128 B) 128 - 8 = 16 © 128 + 8 = 136 D. 128 - 8 = 120 please help
Answers
B 128 divide 8 = 16
took test
Answer:
128 / 8 = 16
Step-by-step explanation:
helppppp it timeddddd quickkkkkkk i give brainlyist toooo
Answers
Answer:
Hello, I believe the answer would be PK since both XS and PK are the same height.
Step-by-step explanation:
I hope this helped you!
Answer:
option A
PK corresponds to XS
(7.10; 7.15)
1. The diagram below shows a
parallelogram.
12 cm
28 cm
If the parallelogram were enlarged
using a scale factor of 3, the perimeter
of the enlarged parallelogram would
be
A 80 cm
B 120 cm
C 200 cm
D 240 cm
Answers
Answer:
We let x 1 = 13, y 1 = 8, x 2 = 9, y 2 = 6, x 3 = 4, y 3 = 2, x 4 = 8, y 4 = 4 and the area is given by The absolute value of the cross product of two vectors a →, b → ∈ R 3 spanning the parallelogram is its area:
Step-by-step explanation:
What is the area of sector?
Answers
Answer:
a
Step-by-step explanation:
since 90 degrees is 1/4 of a circle, the area of the sector is 5²pi/4 = 25/4pi = 19.63
what is the solution of 6(a-5)-4a=4
Answers
Answer:
Hi! The answer to your question is a = 17
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka
ANSWER WITH WORK SHOWN or I will issue a special Perma Ban Bot to conclude a Permanant IP Ban to your account.
Answers
Answer:
4) 6m, 8m, 10mStep-by-step explanation:
Use Pythagorean to determine the answer
#4
6² + 8² = 10²36 + 64 = 100100 = 100, yes#5
8m + 16m = 24m, hence no triangle formed as per triangle inequality theorem#6
20² + 21² = 28²400 + 441 = 784841 ≠ 784, noCarlos has 1/2 of a sub sandwich. He wants to share it between himself and 2 friends How much
of the sandwich will they each get?
Answers
Answer:
They will each get 1/6 of the sub, but 1/3 of the half sub.
Step-by-step explanation:
As we know, there are 3 people, so divide 1/2 by 3.This gives them each 1/3 of the 1/2 sub.Or, this gives them 1/6 of the whole sub before it was split into 1/2.factor the polynominal 5x^2y + 6x^2y^3 - 3x^3y^2
Answers
Answer: x^(2)y(5+6y^(2)-3xy)
Step-by-step explanation: Factor x^(2)y out of 5x^(2)y + 6x^(2)y^(3)- 3 x^(3)y^(2)
brainliest or a thank you please! :) <33
please help !!!!!.......
Answers
Answer:
6
Step-by-step explanation:
The radius of a circle is 8 feet. What is its diameter?
Answers
Answer:
8 × 2 = 16 feet
Step-by-step explanation:
If radius is 'r' then multiplying it by 2 will give you the diameter.
What is the effect on the graph of the function f(x) = [xl when f(x) is changed to f(x + 9)?
Plzz
Answers
Answer:
when y or f(x) equals x then it's a straight line at the origin. if f(x+9) = |x|
f(x) = |x+9|
if you set that equal to zero then X= -9
so shifting over to the left is the right choice
Step-by-step explanation:
is -6 or -3 bigger please help fnfrififnrrfee
Answers
Answer:
-3
Step-by-step explanation:
-3 is bigger because it is closer to zero on a number line. it is closer to a positive number on the number line. I hope this helps
Mrs. Smith is shopping for a toy chest to go
in her kids' playroom. She looks at the options
shown.
How much floor space will toy chest A take up?
Answers
Answer: 20ft
Step-by-step explanation:
floor space is only worried about the area of the base, so A would be 4*5 or 20
Answer:
20
Step-by-step explanation:
Grant attended 75% of his Student Council meetings. If there were 40 meetings, how many did Grant NOT attend?
please do not put any link just answer it
Answers
Answer:
10
Step-by-step explanation:
take your total and multiply it by the percentage.
40 × .75 = 30. he attended 30 meetings. take your total and subtract your new value.
40 - 30 = 10 meetings not attended
Each side of a square kitchen tile is 3 inches long. What is the tile's perimeter?
please no links, thank you!
Answers
3 x 4 = 12