Answer:
1) The terminal side lies in quadrant 2
2) cosФ = -15/17
3) tanФ = -8/15
Step-by-step explanation:
1) First, we should realize that since sinФ = 8/17, it is positive. Thus, Ф must be in quadrants 1 or 2. And since cosФ is negative, Ф must be in quadrant 2 because cos, sin, and tan are all positive in quadrant 1
2) Next, we must realize that the sides given are a 8-15-17 right triangle. And in this case, since sinФ = 8/17, cosФ should be 15/17. But since cosФ is negative, cosФ = -15/17
3) Lastly, tanФ is opposite/adjacent. Since opposite of Ф is 8 and adjacent of Ф is 15, then tanФ should be 8/15, but since Ф is in quadrant 2, then tanФ is -8/15
How to find the central angle
Answer:
x = 50
Step-by-step explanation:
Note that the 3 interior angles must sum up to 180 degrees:
50 + x + 80 =180, or
50 + x = 100, or
x = 50
Andrea tiene 40 dulces y los reparte entre sus seis amigos Cuántos dulces Le tocará a cada uno
Answer:
This is an english server.
Step-by-step explanation:
Respuesta :
siete porque 40/6 darian 6 y como sobran 4 le reparterian 1 a cada 1 por eso darian a a siete
Espero que te sirba
Simplify. 24 7/12 - 4 3/8
20 4/4
20 5/24
20 4/96
5/24
Answer:
20 5/24
Step-by-step explanation:
what is 25+44
i will be getting more points!
is anyone ready for summer if so tell me what you are going to do over summer break?
k so here is your oc his full name is Carlos AKA cal
Please solve these, I thank you my friends
Write and solve an equation to find the value of x
Answer:
180 - (52 + 28) = x and then x = 100.
Step-by-step explanation:
A triangle's angles must ALWAYS add up to 180. No matter what. So, the problem gives us 2 of the three angles already, 52 and 28. 52 + 28 is 80. As I mentioned before, a triangle's angles must always add up to 180, so to find x, you must subtract 80 from 180, getting 100. Therefore, x is 100 degrees.
The equation we used to find that is: 180 - (52 + 28) = x.
52 and 28 are the two angles we know, and subtracting their sum from 180 gives us the missing angle.
In a hatch chemical process, two catalysts arc being compared for their effect on the output of the process reaction. A sample of 12 batches was prepared using catalyst 1 and a sample of 10 batches was obtained using catalyst 2. The 12 batches for which catalyst 1 was used gave an average yield of 85 with a sample standard deviation of 4, and the second sample gave an average of 81 and a sample standard deviation of 5. Find a 90% confidence interval for the difference between the population means, assuming that the populations are approximately normally distributed with equal variances
Answer:
The 90% confidence interval, C.I = (0.693, 0.7307)
Step-by-step explanation:
Catalysts 1 and catalyst 2 have the following statistical data;
Catalyst 1
The number of batches in the sample, n₁ = 12
The average yield by the 12 batches of catalyst 1, [tex]\overline x_1[/tex] = 85
The sample standard deviation, s₁ = 4
Catalyst 2
The number of batches in the sample, n₂ = 10
The average yield, [tex]\overline x_2[/tex] = 81
The standard deviation, s₂ = 5
F-test = s₂²/s₁² = 5²/4² = 1.5625
The degrees of freedom, df = n₁ + n₂ - 2
∴ df = 12 + 10 - 2 = 20
The critical-t at 90% confidence level = 1.725
The F-test < The critical-t, we pool the variance
The 90% confidence interval with the assumption of equal variance is given as follows;
[tex]The \ 90\% \ confidence \ interval= \left (\bar{x}_{1}- \bar{x}_{2} \right )\pm t_{\alpha /2} \times (s_p) \times \sqrt{\dfrac{1^{2}}{n_{1}}+\dfrac{1^{2}}{n_{2}}}[/tex]
[tex]s_p =\sqrt{\dfrac{\left ( n_{1}-1 \right )\cdot s_{1}^{2} +\left ( n_{2}-1 \right )\cdot s_{2}^{2}}{n_{1}+n_{2}-2}}[/tex]
Therefore;
[tex]s_p[/tex] = √((12 - 1)×4² + (10 - 1)×5²)/(12 + 10 - 2)) ≈ 4.48
Therefore, we get;
[tex]C.I. = \left (85- 81 \right )\pm 1.725 \times 4.48 \times \sqrt{\dfrac{1}{12}+\dfrac{1}{10}}[/tex]
The 90% confidence interval, C.I = 0.693 < μ₁ - μ₂ < 7.307 = (0.693, 0.7307).
2/3 y = 1/4 y ___?
A) 3/8
B) 5/12
C) 11/12
D) 2 2/3
Answer:
Heyaa!! Im Pinky!! And Im Here To Inform You That Your Answer Is...
Step-by-step explanation:
!!!! A. 3/8 !!!!
My calculations:
Given
2/3 y = 1/4
Multiply Each Sides by 3!
2y = 3 × 1/4= 3/4
Then we can Divide both sides by 2!
y= 3/4 ÷ 2 = 3/4 × 1/2 = 3/8!!
Have An Amazingly Good Day!!! (or night!)
~Pinky~
Please help I will mark brainliest thanks
Answer:
5+4+6=51 yes
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
Ryan goes for a run for 29 minutes. He knows that each mile he runs
takes 6 minutes. To the nearest tenth, how many miles did Ryan run?
(turn your answer into a mixed number...simplify it...then type it as a decimal)
Answer:
4 and 5/29
Step-by-step explanation:
In a certain Algebra 2 class of 30 students, 7 of them play basketball and 15 of them
play baseball. There are 10 students who play neither sport. What is the probability
that a student chosen randomly from the class plays basketball or baseball?
Answer:
P=2/3Explanation:
since there are 10 students who play neither sport over 30, this means 20 students play basketball or baseball or both! (among them 2 students who play both basketball and baseball)
∴ the probability that a student chosen randomly from the class plays basketball or baseball is 20/30 and that equals 2/3 or 66.66%
Write the number in 2 equivalent forms as a fraction, decimal, or percent.
0.96
What is the equivalent fraction?
Answer:
96% percent and fraction is 24/25
Answer: Down below
Step-by-step explanation:
64 % = 16 / 25
21 / 50 = 0. 42
9 / 25 = 36 %
2 / 5 = 40 %
/ = divide okay
pleas help me alot of points
Answer:
12
Step-by-step explanation:
its a square all sides of the square are the same so 48 divided by 4 is 12
5 points is not a lot of points
Find the surface area of the ball shown. Use 3.14 for pie.
Radius is 17cm
The ball has a surface area of about ? Cm^2
Answer:
[tex] \displaystyle S _{ \text{sphere}} =3629.84 {cm}^{2} [/tex]
Step-by-step explanation:
we are given a ball
remember that,a ball is a Sphere
thus,
[tex] \displaystyle S _{ \text{sphere}} = 4\pi {r}^{2} [/tex]
given that, redious is 17 cm
substitute:
[tex] \displaystyle S _{ \text{sphere}} = 4 \times \pi \times {17}^{2} [/tex]
simplify square:
[tex] \displaystyle S _{ \text{sphere}} = 4 \times \pi \times 289[/tex]
substitute the approximate value of π:
[tex] \displaystyle S _{ \text{sphere}} = 4 \times 3.14 \times 289[/tex]
simplify multiplication:
[tex] \displaystyle S _{ \text{sphere}} =3629.84[/tex]
hence, the surface area of the sphere is 3629.84 cm²
If you spin the spinner once, determine the probability and the likelihood of spinning with colors red, orange, blue or green, red blue orange or green, not red
Answer:
Step-by-step explanation: There are 12 colours on a spinner,
Probability of red,orange, blue or green = 1/12×4 =4/12
=1/3
Probability of red,blue, orange or green= 1/12×4=1/3
Probability of not red= 1-1/12
=11/12
Debbie has at most $60 to spend on clothes. She wants to buy a pair of jeans for $22 and the rest on t-shirts. Write an inequality that represents the relationship between the amount of money Debbie has and how much she can spend on t-shirts.
Answer:
22+8x less then or equal to 60
Step-by-step explanation:
Debbie has at most $60 to spend
Then it will be <=60
Now she has to spend 22 dollars on jeans so 22 will be add to the initial amount for sure.
And
Let x be the number of t-shirts
Then the cost of x t-shirts will be 8x
Putting this in to inequality will be:
The inequality to find the maximum number of t-shirts is:
Someone plz answer this o need it done
Coma and death are possible when _____.
alcohol is ingested slowly
the LD50 is kept low
the BAC nears the LD50 of ethyl alcohol
the BAC is 0.15 percent or more
Simplify:
a+b
a-b
= [?]
a=5 and b=3
The value of the given expression will be 4.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
The given expression is as follows
[tex]=\dfrac{a+b}{a-b}[/tex]
a = 5 and b=3
[tex]=\dfrac{5+3}{5-3}=\dfrac{8}{2}=4[/tex]
Therefore the value of the given expression will be 4.
To know more about Expression follow
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What are two step equations that equal 17?
Answer:
5x+7=17
Step-by-step explanation:
5x+7=17
-7 -7
----------------
5x=10
5 5
x=2
5(2)+7=17
10+7=17
17=17
The two step equations that equal 17 are:
1) 3x + 5 = 17
2) 2y - 8 = 17
The two examples of two-step equations that equal 17:
1) 3x + 5 = 17
To solve this equation, we subtract 5 from both sides:
3x + 5 - 5 = 17 - 5
3x = 12
Finally, we divide both sides by 3:
3x/3 = 12/3
x = 4
So the solution to the equation is x = 4.
2) 2y - 8 = 17
To solve this equation, we add 8 to both sides:
2y - 8 + 8 = 17 + 8
2y = 25
Next, we divide both sides by 2:
2y/2 = 25/2
y = 12.5
So, the solution to the equation is y = 12.5.
Learn more about Equation here:
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Paragraph Finding the part, percent, and the whole Styles 1) Sixteen students in the school band play clarinet. Clarinet players make up 20 %v of the band. How many students are in the school band?
Answer:
80
Step-by-step explanation:
You know that 20% of the school band are 16 clarinet players, or 16 is 20% of the band.
You can set up the equation 0.2x = 16 and divide both sides by 0.2. You then get that x = 80, so there are 80 kids in the school band.
PLEASE HELLPPPP!!!!!
Answer:
25
Step-by-step explanation:
if X = 4 then you would do
4(4) + 9
since 4 x 4 is 16
add that by 9
16 + 9 = 25
so the value of 4x + 9 = 25
Hope this helps
In which direction does the left side of the graph of this function point?
f(x)= -x4- x2 + 4x - 2
find the volume! please :) ( links = blocked )
Malik, who is 5 feet tall, stands 15 feet from a mirror. In
the mirror, he can see the reflection of the top of a tree,
which he measures to be 92 feet away from the mirror. round your answer to the nearest hundredth
Need help asp being timed
Answer:
a(x) = √x+3
Step-by-step explanation:
i graphed it on desmos
Find the area of the figure.
Answer: Hey there do you have numbers of the sides or something in that form if not you will need to use a ruler measure height and width You only need to measure one Height and one width and then multiply those two for your answer. sorry i couldn't help more with your question.
Step-by-step explanation:
8. Let U= {x:x e P and x< 12} be the
universal set and A = {1, 3, 5, 6, 7},
B= {4, 6, 7,9}.
Find: i) A' ii) B' iii) An B'
Answer:
b is a answer I think so hmmm
Multiply the binomials:
(3x + 4)(5x-2)
A. 15x^2 + 20x-8
B. 15x^2 + 14x + 8
C. 15x^2- 14x-8
D. 15x^2+ 14X-8
Answer:
15x^2 + 14x - 8
Step-by-step explanation:
Use the FOIL Method.
(3x + 4) (5x - 2)
1. First: 15x^2
2. Outside: -6x
3. Inside: 20x
4. Last: -8
5. Put Together: 15x^2 - 6x + 20x - 8
6. Simplify: 15x^2 + 14x - 8
2y - 3x + 6x - y
simplify this for me ?
Answer:
3x + y
Step-by-step explanation:
combine like terms
-3x + 6x = 3x
2y - y = y
Final Answer: 3x + y
7
Which equation can be used to describe the relationship between x and y shown in the graph
below?
3x + 2
D-3x - 6
D
3-6
D3X2