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
(this is all the points I'm able to give) Find the surface area of the composite figure.
SA = [ ? ] cm^2
Answers
Answer:
{x}^{2}+5x+6
x
2
+5x+6
Step-by-step explanation:
Q7.
There are 15 children at a birthday party.
The mean age of the 15 children is 7 years.
9 of the 15 children are boys.
The mean age of the boys is 5 years.
Work out the mean age of the girls.
Answers
Answer:
10
Step-by-step explanation:
Let c = sum of ages of all children.
mean age of all children = c/15 = 7
c = 15 * 7 = 105
The sum of the ages of all children is 105.
Let b = sum of ages of the 9 boys.
mean age of boys = b/9 = 5
b = 9 * 5 = 45
The sum of the ages of the boys is 45.
The sum of the ages of the girls is c - b.
c - b = 105 - 45 = 60
The number of girls is 15 - 9 = 6
mean age of girls = (sum of ages of the girls)/(number of girls) =
= 60/6 = 10
What point lies in quadrant III
Answers
Answer:
(-3,-5)
Step-by-step explanation:
Quadrant III is on the bottom left corner.
Tan C=
Help help help
Answers
Answer:
I believe the ans is (B) 40/9
Answer:
The answer is B. 40/9.
Step-by-step explanation:
We know, tan= opposite/adjacent
so, tan C = 40/9
Help please I NEED TO PASS :(((((
Answers
Answer:
The answer should be C
Step-by-step explanation:
I just got done calculating it and according to my calculations it should be C
The world population was 6.114 billion in 2000 with an estimated growth
rate of 1.9% per year. Assuming the world population follows this exponential
growth mode, find the projected population in 2030.
Answers
Answer:
10.754 billion
Step-by-step explanation:
this is a exponential growth question. the initial value is 6.114 billion, with a growth rate of 1.9%, and 30 years. after you plug the values into the exponential growth equation, you should get 10.754 billion.
Departmental Store Agora claims that their mean weekly sales of Aerosol were at most 2,400 packages over the past 6 months and population distribution is unknown. The manager wants to check if the sales have decreased in recent times. He obtained a random obtained sample of sales data from 61 stores and found that the sample mean is 3,593 packages with sample standard deviation 4919. At 7% significance level, using critical value approach see if the claim is true or not.
Answers
Answer:
There is enough statistical evidence to suggest that the department's claim is not true
Step-by-step explanation:
The mean weekly sales μ₀ ≤ 2,400 packages
The period over which the weekly sales were measured = Over the last 6 months
The number of stores in the sample, n = 61 stores
The sample mean, [tex]\overline x[/tex] = 3,593
The sample standard deviation, s = 4919
The significance level = 7% = 0.07
The critical value approach
The null hypothesis, H₀; μ ≤ μ₀
The alternative hypothesis, Hₐ; μ > μ₀
The test statistic is given as follows;
[tex]t=\dfrac{\bar{x}-\mu }{\dfrac{s}{\sqrt{n}}}[/tex]
We get;
[tex]t=\dfrac{3,593-2,400}{\dfrac{4,919}{\sqrt{61}}} \approx 1.894[/tex]
With df = n - 1 = 61 - 1 = 60 at 7% significant level, from a graphing calculator the critical-t, = 1.495598
The p-value at the test statistic is between 0.01 and 0.005
Given that the p-value is less than the significant level, and the test statistic is larger than the critical-t we reject the null hypothesis, that the mean weekly aerosol sale is less than 2,400 packages.
Therefore, there is sufficient statistical evidence to suggest that the departments claim is not true and the mean sales of Aerosols have increased to more than 2,400 packages
Hi, I need help pretty please! (This time with 5 screenshots)
Answers
hii please help i’ll give brainliest
Answers
1.1 families
2.6
3.3
Step-by-step explanation:
i believe that the answer, am sorry if am wrong
Answer:
1.) 4
2.) 1 + 2 + 3 + 4 + 5 + 6 = 21 families
3.) 4 + 5 + 6 = 15 families
Hope this helps!
PLZ HELP ASAP, LINKS AND ABSURD ANSWERS WILL BE REPORTED! I WILL MARK BRAINLIEST!!
Answers
This is because you divide 21 by 18 which (if you divide 21 by 1.666666 you get 18) and whatever you do to 1 side, you do to the other, then you get 35/1.6666666
what is the value of x in 40,000 = 10x g?
Answers
Answer:
x=4000
Step-by-step explanation:
Answer:
4,000 = x
Step-by-step explanation:
40,000 = 10x
=> Divide 10 to each side of "="
40,000/10 = x
4,000 = x
Hope this helps!
3)
1
Find the slope of a line parallel to y = 2x +3.
A)
-2
B)
1
2
C)
1
2
2
Answers
Answer:
1/2
Step-by-step explanation:
Parallel lines always have the same slope
Please help me quick please solve in inequality form
Answers
Answer:
D
Step-by-step explanation:
how can I do this ???
Answers
Answer:
The triangle EFG can be constructed with the following specifications: [tex]EF = 8\,cm[/tex], [tex]FG = 7\,cm[/tex], [tex]EG = 12\,cm[/tex], [tex]E \approx 34.093^{\circ}[/tex], [tex]F \approx 106.068^{\circ}[/tex], [tex]G \approx 39.838^{\circ}[/tex].
Step-by-step explanation:
A triangle is formed by either knowing the lengths of its three sides or knowing two angles and the length of a side or knowing a angle and the lengths of two sides. By Geometry, we know that sum of internal angles in triangles equals 180°. In order to construct this triangle, we need to know the measures of angles E, F and G by means of the Law of Cosine:
Angle E
[tex]E = \cos^{-1}\left[\frac{(7\,cm)^{2}-(12\,cm)^{2}-(8\,cm)^{2}}{-2\cdot (12\,cm)\cdot (8\,cm)} \right][/tex]
[tex]E \approx 34.093^{\circ}[/tex]
Angle F
[tex]F = \cos^{-1}\left[\frac{(12\,cm)^{2} - (8\,cm)^{2} - (7\,cm)^{2}}{-2\cdot (8\,cm)\cdot (7\,cm)} \right][/tex]
[tex]F \approx 106.068^{\circ}[/tex]
Angle G
[tex]G = \cos^{-1}\left[\frac{(8\,cm)^{2}-(12\,cm)^{2}-(7\,cm)^{2}}{-2\cdot (12\,cm)\cdot (7\,cm)} \right][/tex]
[tex]G \approx 39.838^{\circ}[/tex]
The triangle EFG can be constructed with the following specifications: [tex]EF = 8\,cm[/tex], [tex]FG = 7\,cm[/tex], [tex]EG = 12\,cm[/tex], [tex]E \approx 34.093^{\circ}[/tex], [tex]F \approx 106.068^{\circ}[/tex], [tex]G \approx 39.838^{\circ}[/tex].
Find the sum of the first 10 terms for the following sequence: a = {-1, 2, 5, ... }
Answers
Answer:
see, to find the next number, you need to add three to the last one
for example, the 3 was added to 2, so we have five here
5+3=8
8+3=11
and ....
so the next ten numbers are:
8, 11, 14, 17,20,23,26,29,32,35
I'm sorry, my mother tongue isn't English so please accept my apology if I haven't been able to explain it clearly, it's a pretty easy math problem so I think you got it
Answer:
it's +3 each time
Step-by-step explanation:
the formula for the nth term of an arithmetic progression is
[tex]a _{n} = d \times n + a _{1} - d[/tex]
Find the numbers missing from this table of data that gives a prediction of
how many students are freshmen, sophomores, juniors, and seniors based on
data found in a sample of 1000 students:
Answers
Answer:
a = 21%
b = 260%
c = 25%
Step-by-step explanation:
I just answered that question
Sin=
Help help help pls
Answers
Answer:
The answer is D. 8/17
Step-by-step explanation:
We know, sin= opposite/hypotenuse
So as Θ is referring to Angle L
∴ sin Θ = 8/17
Determine the volume of the CD box shown
7.5 in
6.25 in.
8 in
Answers
Answer:
Step-by-step explanation:
I hope this helps you
Rectangular Prism Volume is
Height. Width. Height
(6.25).(7.5).(8)
375
Length x width x height
Someone please help will mark as brainliest
Answers
Answer: the answer is C.
Carla is solving a math problem. Which answer shows the equation and solution
to x times 3 plus 4 equals 16? *
3x + 16 = 4; x = -4
3x + 4 = 16; x = 4
3x = 4 + 16; x = 2/3
3(x + 4) = 16; x = 4/3
Answers
HELP! plz worth 40 points if u help wit all of them. plzz due in 10 mins where I live.
Plus brainliest and ( Ik Itz NOT math but plzz)
Answers
Answer:
List One: Sweet - List Two: suite
List One: pray - List Two: prey
List One: poll - List Two: pole
List One: waste - List Two: waist
List One: Manor - List Two: manner
List One: Pier - List Two: Peer
List One: current - List Two: currant
List One: presence - List Two: presents
List One: council - List Two: counsel
List One: stationary - List Two: stationery
Step-by-step explanation:
Can someone help me with this?
Answers
Answer:
Option 4
Step-by-step explanation:
The circle is filled so it must be either :less then or equal to: or :greater then or equal to: and since it is going to the left that means it is on the less then or equal to.
Answer:
option 4
Step-by-step explanation:
the circle is filled so it can be equal
it shows n is everything lower then -1 so
n<=-1
Using the tax schedule below, which equation would you use to calculate the tax for a couple with taxable income of $188,500?
Taxable Income.
If line 10 is-
At least $100,000 but not over $165,000
Over $165,000 but not over $315,000
Over $315,000 but not over $400,000
Over $400,000 but not over $600,000
Over $600,000
(a)
Enter the amount
from line 10
$
$
$
$
s
(6)
(c)
Multiplication
Multiply
amount (a) by )
x 22% (0.22) S
x 24% (0.24) S
X 32% 0.32) $
x 35% (0.35) s
x 37% (0.37) IS
(d)
Subtraction amount
$ 8,121.00
$11,421.00
$36,621.00
$48.621.00
$60,621.00
Tax.
Subtract (d) from (c)
Enter the result here
and on the entry
space on line 112
$
S
$
$
$
Answers
Answer: I think it is B
Step-by-step explanation:
ON CYLINDERS PLEASE HELP DUE IN 15 MIN
Answers
Answer:
4.13
Step-by-step explanation:
good luck
Someone plz help me I suck at doing that
Answers
Answer:
D - 4.6
Step-by-step explanation:
Hope it Helps!
:)
and sorry for the late answer
Find the arc length of the partial circle. Use 3.14 for pi and enter your answer as a decimal.
Answers
Answer:
However, if you're trying to find the arc length of a partial circle, it's not the same as the circumference of the same circle wholly. You need to find out the circumference of the whole circle first before you can find the arc length (or the circumference of the partial circle).
Step-by-step explanation:
Answer:
9.42 units
Step-by-step explanation:
What is 9 - 10 as a decimal number
Answers
Explain how to add 5.3 + 9.079
Answers
Answer:
14.379
Step-by-step explanation:
1. Line up from left to right
2. Make sure that the decimals are lined up
3. Add the thousandths and hundredths with 0
4. Add 3 in the tenths place
5. Add up 9 and 5 to make 14
*IF YOU DID THE STEPS RIGHT, THEN YOU SHOULD HAVE 14.379 AS YOUR ANSWER*
Answer:
9.079
+5.300
_______
14.379
Step-by-step explanation:
Just line the decimals up and add zeros for 5.3 to 5.300 because you can't do 9.079
+5.3 because your decimal will be in the wrong spot and your answer will come out wrong
What is the answer to this question?
Answers
Answer:
10
Step-by-step explanation:
70-30=40
50-40=10
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If A is the reference angle, which side is the opposite?
AB
BC
AC
Explain your thinking.
Answers
Answer:
BC
Step-by-step explanation:
it would be BC because you are basically taking the angle and drawing an arrow to the opposite side. another trick would be choosing an answer choice without the letter in it. also you didn't put what shape so I assumed it was a triangle