given the diagram below, explain how you would determine the opposite, adjacent, and hypotenuse side from the given 35° angle. (HELP PLEASE!!)
Answers
Answer:
opposite=8.402402490459 ,adjacent is already given=12, hypotenuse=14.64929507
Step-by-step explanation:
to do this you will have to use the law of sines. the first thing you need to do is solve for the unknown angle by subtracting 90+35 from 180. so you get the equation 180-(90+35)=55. now that you know all your angles, you can use the law of sines to solve for the unknown sides. the law of sines state that a/sin(A)=b/sin(B). if you substitute the values of 12 and 55 into the equation, since you know those sides, you can then find a ration that you can use to find the other sides, 12/sin(55)=b/sin(B), which is equal to, 14.649... Next you pick whichever side you want to solve for next, and plug in its opposite angle (i would solve for the other leg, because then you can use pythagorean theorem to solve for the hypotenuse, so i will demonstrate that way) plug in the angle 35, since it is opposite the leg and then finish for the variable, 14.649...=b/sin(35). once you have the sin, you can multiply it by the 14.649 to get your side, 14.649...*.5736...=8.402...=b. now you have your two legs, so you can use a^2+b^2=c^2 to solve for the hypotenuse. once you plug in your values it should look like this, 12^2+8.402...^2=c^2. which simplifies down to 214.602...=c^2. so you take the square root of both sides to find c, which equals 14.649. you can check that by seeing if 14.649 is bigger then the other two sides, which it is. This number should look familiar because it was the ratio we got when we divided 12 by the sin(55). the reason that happened is because the sin(90) is 1, the 14.649*1=14.649.
If you have any questions, leave them in the comments and will try to answer them, if this helped, pls give brainliest.
Related Questions
The number of wins in a season for 32 randomly selected professional football teams arelisted below. Construct a 90% confidence interval for the true mean number of wins in a season.
Mean(x) = sum of 32 observations / 32 = 7.97
Standard deviation( sd )=2.62
Sample Size(n)=32
Confidence Interval = [ 7.97 ± Z a/2 ( 2.62/ Sqrt ( 32) ) ] = [ 7.97 - 1.64 * (0.4632) , 7.97 + 1.64 * (0.4632) ] = [ 7.2,8.7 . What are the steps used to solve this? How did they find their Standard Deviation? Also what does the Z stand for in the confidence interval?
Answers
Answer:
A)CI 90 % = [ 7,2103 ; 8,7297]
B) s = √ ∑(xi - xp)²/n-1
c) z is the score for the given significance level in this case is 1,64
Step-by-step explanation:
For a confidence Interval of 90%, the significance level is α = 10 %
α = 0,1 α/2 = 0,05 and from z-table we find z(c) for 0,05 z(c) = 1,64
CI 90 % = [ x ± z(c) * s/√n ]
CI 90 % = [ 7,97 ± 1,64 * 2.62/√32]
CI 90 % = [ 7,97 ± 0,7597]
CI 90 % = [ 7,2103 ; 8,7297]
B) To calculate the standard deviation of the sample the equation is:
s = √ ∑(xi - xp)²/n-1
xi - xp is the difference between each one of the elements of the sample
xp is the mean or average of the elements of the sample and n is the sample size
Cody purchased a car for $4500 that will depreciate 28% a year. Write an exponential growth/decay equation that represents the value of Cody's car overtime. How much will the car be worth in 15 years? Round to the nearest cent.
Answers
Answer:
$32.60
Step-by-step explanation:
This question has to to do with exponential decay. The formula is given as:
y = a(1 - r)^x
y = Value of the material after x years
a = Initial value of the material
x = Time in years
r = rate of depreciation or decay
Therefore,
y = 4500 × (1 - 0.28)¹⁵
y = 4500 × 0.72¹⁵
y = $32.598675906
y = Approximately = $32.60
Therefore the of the car after 15 years = $32.60
A soccer field is a rectangle 160 meters wide and 120 meters long. The coach asks players to run from one corner to the corner diagonally across the field. Use Pythagorean Theorem to determine how far the players run?
Answers
Answer:
200 meters
Step-by-step explanation:
a² + b² = c²
c² = 120² + 160²
c² = 14,400 + 25,600
c² = 40,000
√(c²) = √(40,000)
c = 200
Answer: 200 meters
Match the like terms.
3x^4 6x -8
-8x
6x^4
3
Answers
Answer:
6/3
8/4
we can keep 6/8 also but we can't keep 3/8
30 POINTS!!
The height of a ball dropped from a 160 foot building after a seconds is represented by h(t) = 160 - 161².
How high will the ball be after 3 seconds?
Answers
Answer:
The height of the ball after 3 secs of dropping is 16 feet. Function h(t)=160-16t^2
have a good day :)
Which type of transformation (reflection, rotation or translation) is most difficult for you to perform? Which is the easiest? Why do you think this is?
Answers
Answer:
Easiest: Translation
Most difficult: rotation
Step-by-step explanation:
- Translation involves just moving of an image without any changes anything about it from size to orientation to shape. Therefore, the translated image is exactly the same as the original one just that it is moved to a different place.
- Rotation involves rotating the image by a certain angle.
For example, we can rotate an image by 30°, 45°, 60° e.t.c.
- Reflection is simply the mirror image of an existing image which is basically flipping the original image along a vertical or horizontal line which acts like a mirror.
Looking at these definitions, the easiest will be translation because we are not changing any single thing but just moving from one place to another while the most difficult would be rotation because it involves rotating at an angle which one may not easily get correctly.
PLEASE HELP 35 POINTS
Two sides of a right triangle measure 777 units and 333 units.
Answers
Answer:
58 units squared
Step-by-step explanation:
**I'm doing the question with the 7 by 3 triangle in the picture, not 777 by 333**
Pythagorean Theorem: [tex]a^2+b^2=c^2[/tex], where c is the length of the hypotenuse.
The given sides are legs, therefore, [tex]3^2+7^2=c^2[/tex]
[tex]9+49=c^2; 58=c^2; c=\sqrt{58}[/tex]
c is also one of the sides of the square. A square's area is one of the sides' lengths squared, so:
[tex](\sqrt{58}) ^{2}=58[/tex]
Answer:
58
Step-by-step explanation:
We can use the Pythagorean theorem to find the area of the square for the third side.
The equation for the Pythagorean theorem is
a^2 + b^2 = c^2
where a and b are the lengths of the two legs of the triangle, and c is the length of the hypotenuse.
a^2 + b^2 = c^2
3^2+7^2=x^2
9+49=x^2
58=x^2
The area of the square for the third side of the triangle is 58 units^2 squared.
P(A) = 7/20 P(B) = 7/20 P(A or B) = 49/80, P(A and B)= ?
Answers
Answer:
P(A and B) = 7/80
Step-by-step explanation:
The given values of the probabilities of the different events are;
P(A) = 7/20
P(B) = 7/20
P(A or B) = 49/80
P(A and B) = Required
We have by probability theory for any event;
P(A or B) = P(A) + P(B) - P(A and B)
Therefore;
P(A and B) = P(A) + P(B) - P(A or B)
Plugging in the values gives;
P(A and B) = 7/20 + 7/20 - 49/80 = 7/80
∴ P(A and B) = 7/80
If g(x) = 2x + 1 and f (x) = x2 + 4, find g[f(4)].
g[f(4)] =
Answers
Answer:
g(f(4)) = 41
Step-by-step explanation:
Evaluate f(4) then substitute the value obtained into g(x)
f(4) = 4² + 4 = 16 + 4 = 20, then
g(20) = 2(20) + 1 = 40 + 1 = 41
That is g(f(4)) = 41
The values are 155 degrees, 5y degrees, and 13x degrees. find the values of x and y
Answers
Answer:
y = 5
x = 5
Step-by-step explanation:
find the complete question in the attached image
the angle opposite 5y is also 5y. this is because alternate angles are equal
180 = 155 + 5y
5y = 180 - 155
5y = 25
y = 5
the sum of 5y and 13x is equal to 90
this is because the sum of angle on a straight line is equal to 180 and one of the angle on the straight line is already equal to 90 . so, 90 (180 - 90)
5y + 13x = 90
25 + 13x = 90
13x = 90 - 25
13x = 65
x = 5
Mason is training for the javelin-throw event. A coach created
a graph that shows the height of the javelin over time for
Mason's best throw.
Height (meters)
ONO O NA
5
3 4
Time (seconds)
How many seconds did it take for the javelin to reach its
greatest height?
4.1 s
B В
1.3 s
C
13 s
2 s
Answers
It needs to be 2s if you look at the graph it should show
Answer:
2 seconds
Step-by-step explanation:
Please help I have the answer but please make it look like I did the problem 31 divided by 155
Answers
Answer:
Step-by-step explanation:
155 divide by 31=5
Answer:
1/5 or 0.2.
Step-by-step explanation:
31 / 155
Now 155/31 = 5
so the answer is 1/5.
Which equation does the graph below represent
Answers
Answer:
4) y=-4x
Step-by-step explanation:
The lines goes down 4 units as it moves 1 unit right.
Using the data in the table below, what is the constant rate of change, k?
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Answers
HELP ASASP ITS 6Th GRADE MATH
Answers
Answer:
We are learning this in 7th grade lol how did you get 7th grade math to 6th grade math
Which angles are adjacent angles?
Answers
2. Four brothers each bought two hot dogs and a bag of chips at the football concession stand. If the bag of chips was $ 1.25, and the total was $ 18.20, what was the price of one hot dog?
Answers
Answer:
1.65$
Step-by-step explanation:
18.20$ (total price) - 4×1.25$ ( chips price) = 13.2$
13.2$ ( price of 8 hot dog)
price of one hot dog= 13.2$ ÷8= 1.65$
Three plus the number a is greater than or equal to 19
Answers
Answer:
a[tex]\geq[/tex]16
Step-by-step explanation:
3+a[tex]\geq[/tex]19
-3 -3
a[tex]\geq[/tex]16
(see below) (The line I drew represents where a is and if it is to be greater or equal to it must be 16 or over)
rewrite the expression in the form as a^n
Answers
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Help me please I will give you a heart and rate if u do.
Answers
Answer:
(B). 1240 cm²
Step-by-step explanation:
On a map 1 cm represents 40 km. the real life distance between two places on the map is 360km what is the distance between these two places on the map
On a second map the distance between the same two places is 4cm what real life distance does 1 cm represent on the second map?
Answers
Map 2 40km
CAN SOMEONE HELP ME PLZ NO LINKS
Answers
Answer:
length = 2w - 3
l = length
w = width
2(length) + 2(width) = perimeter
2(2w - 3) + 2(w) = 60
6w -6 =60
w = 11
len = 2(11) - 3
Step-by-step explanation:
I think it’s the first one, am I correct?
Explain!
Answers
Answer: you forgot to add the picture
Step-by-step explanation:
But if you think you are correct, go for it
The cone in the diagram has the same height and base area as the prism. What is the ratio of the volume of the font to the volume of the prism?
Answers
Answer:
A
Step-by-step explanation:
Answer:
Hey! I just took the test and the correct answer is option B.
Step-by-step explanation:
How much points do you need to pass your algebra 1 class?
Answers
Answer:
You can have a D in your class to pass but if you have a F then you dont pass the class
Step-by-step explanation:
QUICk GIVING BRAINLIEST TO RIGHT ANSWER
Answers
Answer:
I believe the answer is b.73.7
Answer:
73.7
Step-by-step explanation:
Please help with this thanks
Answers
What is the percent increase or decrease between $7.80 and $6.63?
Answers
Amount One: $7.80
Amount Two: $6.63
You’re looking for what percent of 7.80 is 6.63.
$7.80 * X = $6.63.
X = $6.63/$7.80
X = .85
So $6.63 is 85% of $7.80.
Percents are out if 100, so if you want to know what the percent difference is, subtract 85% from 100%.
100% - 85% = 15%.
As you’re going form $7.80 to $6.63, the number is getting smaller so it’s a decrease. Overall, it’s a 15% decrease from $7.80 to $6.63.
dillon pays x dollars to get a haircut. he gives the stylist a 15% tip. the expression representing his total cost is x + 0.15x
Answers
Answer:
B) 1.15x, adding 15% to the cost of haircut is same as to multiply cost by 1.15
Step-by-step explanation:
Given expression = x + 15% of x
x + (15/100) x = x + 0.15x
= (1+ 0.15) x = 1.15x
15% = 0.15 , added to x = 1.15x
Find the Arc Length of AB (picture provided) and show work.
Answers
Circumference of a circle is pi x diameter
Circumference = 3.14 x 8 = 25.12 feet.
Arc AB is 45 degrees.
Arc length = circumference x angle/360
Arc length = 25.12 x 45/360 = 3.14 feet
Answer: 3.14 feet