Answer:
Tan(theta) = 20/-21
Step-by-step explanation:
Tan(theta) = Sin(theta)/Cos(theta)
[tex]\frac{\frac{20}{29} }{\frac{-21}{29} }[/tex]
Invert the denominator and multiply
[tex]\frac{20}{29}*\frac{29}{-21}\\\frac{20}{-21}[/tex]
Tan(theta) = 20/-21
Answer:
20/-21
Step-by-step explanation:
Can someone help me with this question please..
Answer:
The answer is (3 ,5)
Step-by-step explanation:
Please give brainliest!!!
Answer:
(3,5)
Step-by-step explanation:
order pair of A is (3,5)
3 is x component.
5 is y component.
Do 5 feet+ 12 feet + 13 feet make a. Right triangle
Answer:
yes
Step-by-step explanation:
Pythagoras
in a right triangle it is always
c² = a² + b²
with c being the side opposite of the 90 degree angle.
5² = 25
12² = 144
13² = 169
so, because indeed 13² = 5² + 12², these three lines make a right triangle.
Express 384kg in tones
1 kg= 1000 tonnes
384 kg= 384×1000 tonnes = 384000 tonnes
Step-by-step explanation:
384kg = 0.384 tones!!!!!
Which expression is equivalent to square root 343x^9y^12z^6?
Answer:
Step-by-step explanation:
343: = 7 * 7 * 7
x^9: = x^3 * x^3 * x * x * x = x^3 * x * √x
y^12: = y^6 * y^6
z^6: = z^3 * z^3
So the square root is
√343 = 7 √7
√x^9 = x^4√x
√y^12 = y^6
√z^6 = x^3
The rule is for every pair of equal factors, you take one outside the root sign and throw the other one away.
So z^6 for example is z^3 * z^3 Take one of the pair outside the root sign and throw the other one away.
x^9 is rather tricky. You take x^4 out and there is still one x left over. You leave it under the root sign.
So the answer is
7 * x^4 * y^6 * z^3 * √7x
A six sided number cube is rolled. What is the probability of getting a 2 and then a 1, given that the first number rolled was a 2?
Answer:
1/36
Step-by-step explanation:
P(2 then 1) = 1/6 x 1/6 = 1/36
NO LINKS OR ELSE YOU'LL BE REPORTED!Only answer if you're very good at Math.No guessing please.
Angelo's Pizza is having a ticket raffle to raise money for new soccer uniforms.A $1 ticket gives an even chance to win one $25 gift certificate,one $15 gift certificate,or three $5 gift certificates.What is the expected profit or loss for purchasing 1 ticket if 100 total tickets are sold?
A: a gain of $0.45
B: a gain of $0.55
C: a loss of $0.55
D: a loss of $0.45
===============================================
Explanation:
Let x be the net winnings the customer gets
Saying something like x = 24 means you've walked away with $24. This occurs when you pay $1, and get $25 back in prizes, so 25-1 = 24 dollars overall.
The probability of this event occurring is 1/100 since there's only one ticket with the $25 prize
Make a table as shown below. It represents all the possible x values which are all the possible net winnings. Note how 1/100 = 0.01, 3/100 = 0.03 and 95/100 = 0.95
The third column is x*p(x) which is the product of the first two columns. Adding everything in the third column (that isn't highlighted in yellow) gets us the value -0.45 which is the expected value for the customer.
This represents a loss of $0.45, aka a loss of 45 cents. This is from the perspective of the customer.
Flipping things around, the pizza company will see this is as a gain of $0.45 or a gain of 45 cents.
----------------
Here's another way to see why this works:
The pizza company earns $100 in revenue since 100 tickets are sold for a dollar each. The company pays out 25+15+3*5 = 55 dollars in prizes overall. That means the company will make a profit of 100-55 = 45 dollars. So the average profit per ticket is 45/100 = $0.45 aka 45 cents and this is from the viewpoint of the pizza company (not the customer). The positive average profit represents a gain.
HELP ME ASAPPP 25 POINTS!!!
The slope of the line parallel is -2/3 and the slope of the perpendicular one is 3/2.
3X TO THE POWER 6 * 2Y TO THE POWER 12 =??
9514 1404 393
Answer:
6·x^6·y^12
Step-by-step explanation:
(3x^6)(2y^12) = (3)(2)x^6·y^12 = 6·x^6·y^12
Answer:
6 x ⁶ y ¹²
Step-by-step explanation:
= ( 3 x ⁶ ) ( 2 y¹² )
= ( 3 ×2 ) x ⁶ y ¹²
= 6 x⁶ y ¹²
look at the image and I need help with that
Answer:
A - The sum of a unknown value times 3 and 5. B - The sum of a unknown number subtracted by 2 being multiplied by 4.
Step-by-step explanation:
A - The sum of a unknown value times 3 and 5. B - The unknown value subtracted by 2, then multiplied by 4.
Step-by-step explanation:
So, lets pick apart the expressions.
We know the variables will be unknown values:
3unknown value + 5
We know that a number in front of a variable is multipication, so:
3 times unknown value + 5
We know there is a addition symbol, which means a sum of two numbers.
So:
3 times a unknown value and the sum of 5
5 is just 5, so we can write it as it is.
This might be read as 3 times both the 5 and unknown value, so we want to make sure they are seperate:
3 times a unknown value plus by 5
So basically, instead of talking about the sum of the two numbers, I used plus so that the numbers are seperate. THis way there is no confusion in the answer.
Next we have 4(x-2)
So first off, x is our unknown value:
4(unknown value-2)
- is subtraction, so:
4(unknown value subtracted by 2)
2 remains as 2.
4 is multiplying the parenthese, so basically, the x-2 is done first. THen it is multiplied by 4. This means the multiplied by 4 should come after the unknown value si subtracted by 2:
The unknown value subtracted by 2, then multiplied by 4.
I used a then to seperate the unkownv alue subtracted by 2 and the multiplied by 4.
What is the area of the parallelogram below?
7 in2
14 in2
18 in2
28 in2
Answer:
14 (B)
Step-by-step explanation:
Area = L * h
L = 7 in^2
h = 2
Area = 7 * 2
Area = 14 in^2
Answer:
14
Step-by-step explanation:
Did lesson
approximate 12256 to 3 significant figures
Answer:
123 is the answer
hope that helps bby<3
PLEASE HELP ME
Solve:
24t = 72
OA) t= 3
OB) t= 4
OC) t=- 2/1
OD) t= 1/3
Answer:
t =3
Step-by-step explanation:
24t = 72
Divide each side by 24
24t/24 = 72/24
t=3
Answer:
A
Step-by-step explanation:
24 t = 72
divide both sides by 24
Thus, t = 72/24
t = 3
Bye ! :-)
i need help on #10. very confused
Step-by-step explanation:
[tex]\displaystyle f'(x) = \lim_{h \to 0} \dfrac{f(x + h) - f(x)}{h}[/tex]
[tex]\:\:\:\:\:\displaystyle = \lim_{h \to 0} \dfrac{(x+h)^2 -7 -(x^2 - 7)}{h}[/tex]
[tex]\:\:\:\:\: \displaystyle= \lim_{h \to 0} \dfrac{(x^2 +2hx + h^2 -7) - (x^2 -7)}{h}[/tex]
[tex]\:\:\:\:\: \displaystyle= \lim_{h \to 0} \dfrac{2hx + h^2}{h}[/tex]
[tex]\:\:\:\:\: \displaystyle= \lim_{h \to 0} (2x +h)[/tex]
[tex]\:\:\:\:\: \displaystyle= 2x[/tex]
16 men take 10 days to build 2 bedroom houses. How long will it take 10 men to build 4 bedroom houses?
Answer:
chicken nuggets are good
Step-by-step explanation:
chicken but nuggets who t f thought of this
Trong không gian Oxyz, cho a b c 2;2;0 , 2;2;0 , 2;2;2 .
Giá trị của a b c
bằng
Answer:
good question
Step-by-step explanation:
PLEASE HELP!
WILL MARK BRAINLIEST!!!
If AC=12cm, what is the area sector ACB to the nearest whole number?
Thank you! Multiple choice!
Answer:
38
Step-by-step explanation:
Have a nice day :)
A box has a height of 6 inches.
6 in.
Base
The area of the base is 40 squbere inches.
What is the volume of the box?
Pleaseee
Answer:
the awnser is 216
Step-by-step explanation:
Solve the 5 questions!!!
Answer:
What is the answer you're looking for?
Step-by-step explanation:
Hajar makes 1 can of purple paint by mixing 2 red paint with 3 blue paint. She makes 8 purple cans in total. How many red and blue paint did she use each?
Answer:
16 red and 24 blue
Step-by-step explanation:
2 red×8=16
3 blue×8=24
sorry if it's not true
In which quadrant does θ lie given that sinθ<0 and cosθ<0?
The third quadrant.⠀⠀⠀⠀⠀⠀⠀⠀
Answer:
θ would lie in Quadrant III
Step-by-step explanation:
Review the attached file
Solve the following equations for x,
if 0 ≤ x ≤ 2π.
i. 3csc² x – 4 = 0
ii. 4cos² x + 2cos x – 2 = 0
help me solve pls
(i) 3 csc²(x) - 4 = 0
3 csc²(x) = 4
csc²(x) = 4/3
sin²(x) = 3/4
sin(x) = ± √3/2
x = arcsin(√3/2) + 2nπ or x = arcsin(-√3/2) + 2nπ
x = π/3 + 2nπ or x = -π/3 + 2nπ
where n is any integer. The general result follows from the fact that sin(x) is 2π-periodic.
In the interval 0 ≤ x ≤ 2π, the first family of solutions gives x = π/3 and x = 4π/3 for n = 0 and n = 1, respectively; the second family gives x = 2π/3 and x = 5π/3 for n = 1 and n = 2.
(ii) 4 cos²(x) + 2 cos(x) - 2 = 0
2 cos²(x) + cos(x) - 1 = 0
(2 cos(x) - 1) (cos(x) + 1) = 0
2 cos(x) - 1 = 0 or cos(x) + 1 = 0
2 cos(x) = 1 or cos(x) = -1
cos(x) = 1/2 or cos(x) = -1
[x = arccos(1/2) + 2nπ or x = 2π - arccos(1/2) + 2nπ] or x = arccos(-1) + 2nπ
[x = π/3 + 2nπ or x = 5π/3 + 2nπ] or x = π + 2nπ
For 0 ≤ x ≤ 2π, the solutions are x = π/3, x = 5π/3, and x = π.
The probability of a randomly selected adult in one country being infected with a certain virus is 0.005. In tests for the virus, blood samples from 20 people are combined. What is the probability that the combined sample tests positive for the virus? Is it unlikely for such a combined sample to test positive? Note that the combined sample tests positive if at least one person has the virus.The probability that the combined sample will test positive is
Answer:
0.0954 = 9.54% probability that the combined sample tests positive for the virus. This probability is higher than 5%, and thus, it is not unlikely for such a combined sample to test positive.
Step-by-step explanation:
For each person, there are only two possible outcomes. Either they test positive, or they do not. The probability of a person testing positive is independent of any other person, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
The probability of a randomly selected adult in one country being infected with a certain virus is 0.005.
This means that [tex]p = 0.005[/tex]
Samples from 20 people
This means that [tex]n = 20[/tex]
What is the probability that the combined sample tests positive for the virus? Is it unlikely for such a combined sample to test positive?
Probability of at least one positive test, which is:
[tex]P(X geq 1) = 1 - P(X = 0)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{20,0}.(0.005)^{0}.(0.995)^{20} = 0.9046[/tex]
Then
[tex]P(X geq 1) = 1 - P(X = 0) = 1 - 0.9046 = 0.0954[/tex]
0.0954 = 9.54% probability that the combined sample tests positive for the virus. This probability is higher than 5%, and thus, it is not unlikely for such a combined sample to test positive.
- b/0.1 +2.9= -35.1 no links or anything just the answer
Answer:
b = 3.8
Step-by-step explanation:
- b/0.1 +2.9= -35.1
Subtract 2.9 from each side
- b/0.1 +2.9-2.9= -35.1-2.9
-b/.1 = -38
Multiply each side by -.1
-b/.1 * (-.1) = -38 *(-.1)
b = 3.8
Which expression results in the smallest difference?
A.12.5 - 3.1
B.12.5 -0.31
C.12.5 -0.031
D.12.5 -0.0031
Answer:
i pretty sure it is A
Step-by-step explanation:
What is the length of HG?
Answer:
HG = 3
Step-by-step explanation:
HF = HG + GF
11 = HG + 8
11 - 8 = HG
3 = HG
Answer:
HG = 3
Step-by-step explanation:
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Function f is shown on the graph
Answer:
Option A, (-4, -1)
Hope this helps!
round to 387.4 when rounded to the nearest tenth
Answer:
387.4
Step-by-step explanation:
Have a nice day
ILL GIVE YOU BRAINLIEST IF YOU GET RIGHT AND EXPLAIN
An Angle is half of its supplement.What is the measure of its complement?
Answer:
Step-by-step explanation:
That means that its complement is 90 - 40 = 50 degrees. This also means that its supplement is 180 - 40 = 140 degrees. Therefore, a half of its supplement is 70 degrees and when added to the 50 degree complement the total is 120 degrees, just as the problem said it should be.
==========================================================
Explanation:
Let x be the unknown angle
Its supplement is 180-x, since it must add to x to get 180
The angle x is half of the supplement 180-x, meaning,
x = half of supplement of x
x = half of (180-x)
x = (1/2)*(180-x)
x = 0.5*(180-x)
x = 90 - 0.5x
x+0.5x = 90
1.5x = 90
x = 90/1.5
x = 60
The unknown angle is 60 degrees. It's supplement is 120 because 60+120 = 180, and we can see that 60 is half of 120. So that confirms we have the correct x value.
The last step is to find the complement of angle x. We subtract from 90 like so
90-x = 90 - 60 = 30 which is the final answer
As a check, we can see that 60+30 = 90 to show that we have complementary angles.
------------
Extra info:
It might be easy to mix up the terms "supplementary" and "complementary". What helps me remember is that "supplementary" and "straight angle" both start with S. This could be one way to remember that supplementary angles always add to 180.
Also, both "complementary" and "corner" both start with C, which may be one way to remember that complementary angles always add to 90.
EASY QUESTION!!!!!!!!!! PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!
What is one benefit of displaying data from multiple samples in a graph or table?
It can save time from doing number crunching and analysis because it's an easy to see visual.
jessica is planning a lunch banquet. the equation C=760+21g models the relation between the cost in dollars, C of the lunch banquet and the number of guest, g. find the cost if the number of guest is 30
Answer:
C = 1390
equation :
C=760+21g
Variables understanding
g = guest
c= cost
We are Finding C
If C is unknown
and c = 30.
C=760+21 x 30
C = 760+630
C = 1390
Answer:
1389
Step-by-step explanation:
hope this helps alot