Answer:
its D
Step-by-step explanation:
The right angle triangle with 30-60-90 degrees is the special triangle in which these angle will have the side ratio of 1, [tex]\sqrt{3} [/tex] and 2. The value of the [tex] \cos\dfrac{(-2\pi)}{3} [/tex] which Omar wants to determine is -1/2.
Given information-
Omar wants to determine the value of
[tex] \cos\dfrac{(-2\pi)}{3} [/tex]
As the degree is in the pi form. Use the conversion rate [tex]\dfrac{180}{\pi} [/tex] to convert the degree,
[tex]=\dfrac{(-2\pi)}{3} \times\dfrac{180}{\pi} [/tex]
[tex]=-120[/tex]
As the angle -120 degrees is in the third quadrant hence the reference angle is 60 degrees(by calculating as (180-theta).
30-60-90 triangleNow the right angle triangle with 30-60-90 degrees measure angle. Such angle will have the side ratio of 1, [tex]\sqrt{3} [/tex] and 2.
Here 2 is the hypotenuse of the right triangle. The side opposite to the angle measure [tex]\sqrt{3} [/tex] and the side adjacent to the angle measures 1 in ratio.
Now the cos theta is the ratio of the adjacent side and hypotenuse thus,
[tex] \cos\dfrac{(-2\pi)}{3} =-\dfrac{1}{2} [/tex]
Negative sign is used for the third quadrant where x axis is negative.
[tex] \cos\dfrac{(-2\pi)}{3} =-\dfrac{1}{2} [/tex]
Thus the value of the [tex] \cos\dfrac{(-2\pi)}{3} [/tex] which Omar wants to determine is -1/2.
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Solve for the length of BA and BC, round your answer to 1 decimal place
Answer:
[tex]BA = 6.0[/tex]
[tex]BC = 13.4[/tex]
Step-by-step explanation:
Given
The attached triangle
Solving (a) BA
Considering the tangent of angle C, we have:
[tex]tan\ C = \frac{BA}{AC}\\[/tex]
This gives:
[tex]tan\ 25 = \frac{BA}{12}[/tex]
Make BA the subject
[tex]BA = 12 * tan\ 25[/tex]
[tex]BA = 12 * 0.4663[/tex]
[tex]BA = 6.0[/tex] --- approximated
Solving (a) BC
Using Pythagoras theorem
[tex]BC^2 = BA^2 + AC^2[/tex]
[tex]BC^2 = 6.0^2 + 12^2[/tex]
[tex]BC^2 = 180[/tex]
Square root of both sides
[tex]BC = \sqrt{180[/tex]
[tex]BC = 13.4[/tex]
PLEASE HELP! ANSWER QUICKLY IF YOU KNOW THIS!!
Answer:
63
Step-by-step explanation:
Answer:
117°
Step-by-step explanation: We know that the angles of a triangle have to equal 180°. We already know one angle (75°) and we can find the others. Vertical angles are congruents so the angle opposite 42° is also 42° So add 42 and 75 and you get 117. Keep in mind that all the angles have to equal 180 so 180-117 will get you the last angle measure. 180-117= 63. BUT that's not the answer because that is not x and it asks for x. So we know that a straight line also equals 180 that angle that we found that was 63 plus x should get us 180. To find that we do 180-63 and find that x=117° Hope this made sense!
If f(x)=3x-1 and g(x)=x2+2 what is f[g(x)]
Answer:
Value of f[g(x)] = 3x² + 5
Step-by-step explanation:
Given:
f(x) = 3x - 1
g(x) = x² + 2
Find:
Value of f[g(x)]
Computation:
f(x) = 3x - 1
g(x) = x² + 2
So,
f[g(x)] = 3(x² + 2) - 1
f[g(x)] = 3x² + 6 - 1
Value of f[g(x)] = 3x² + 5
answer all
(make sure to show work
6th grade work
Coastal Insurance Company underwrites insurance for beachfront properties along the Virginia, North and South Carolina and Georgia coasts. It uses the estimate that the probability of a named Category III hurricane or higher striking that particular region of the coast in any one year is 0.05. If a homeowner takes a 30-year mortgage on a recently purchased property, what is the likelihood that the owner will experience at least one Category III hurricane during the mortgage period
Answer:
0.7769 = 77.69% probability that the owner will experience at least one Category III hurricane during the mortgage period
Step-by-step explanation:
We have only the mean, so we use the Poisson distribution to solve this question.
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval.
It uses the estimate that the probability of a named Category III hurricane or higher striking that particular region of the coast in any one year is 0.05.
This means that [tex]\mu = 0.05n[/tex], in which n is the number of yeas.
If a homeowner takes a 30-year mortgage on a recently purchased property, what is the likelihood that the owner will experience at least one Category III hurricane during the mortgage period
30 years means that [tex]\mu = 0.05*30 = 1.5[/tex].
This probability is:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
In which
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-1.5}*(1.5)^{0}}{(0)!} = 0.2231[/tex]
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.2231 = 0.7769[/tex]
0.7769 = 77.69% probability that the owner will experience at least one Category III hurricane during the mortgage period
Let X become a variable refer to the number of Category ll hurricanes that occurred during the mortgage period. As per the information given, the variable x has a random variable.
The mortgage duration is specified as n = 30, and the likelihood of a category ll hurricane in either given year is given as p=0.05.For point a:
The chances of seeing as least one Category lll hurricane are as follows:[tex]\to P(X > 1) = 1 - P(X = 0)\\\\ \to P(X > 1) = 1^{-30} C_o (0.05)^0 (1 -0.05)^{30}\\\\ \to P(X > 1) = 0.7854[/tex]
For point b:
The chances to see at least two category III hurricanes are as follows:[tex]\to P(X > 2) = 1 - P(X =0) - P(X = 1)\\\\ \to P(X > 2) = 1 ^{-30} C_0(0.05)^0 (1 -0.05)^{30 -30} C_1 (0.05)^1+(1 - 0.05)^{29}\\\\ \to P(X > 2) = 0.4465[/tex]
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Sorry, you guys I put the subject in Math its english! But have a nice day! and please help me!
Answer:
disappoint
recall
disgusted
reunited
prepare
Two companies manufacture a rubber material intended for use in an automotive application. The part will be subjected to abrasive wear in the field application, so we decide to compare the material produced by each company in a test. Twenty-five samples of material from each company are tested in an abrasion test, and the amount of wear after 1000 cycles is observed. For company 1, the sample mean and standard deviation of wear are
xÌ… = 20 milligrams / 1000cycless
s1= 2 milligrams/1000cycles and for company 2, you obtain
xÌ… 2 = 15 milligrams /1000cycles
and
s2= 8 milligrams / 1000cycles
Required:
a. Do the data support the claim that the two companies produce material with different mean wear? Use α = 0.05, and assume that each population is normally distributed but that their variances are not equal. What is the P-value for this test?
b. Do the data support a claim that the material from company 1 has higher mean wear than the material from company 2? Use the same assumptions as in part (a).
c. Construct confidence intervals that will address the questions in parts (a) and (b) above.
Step-by-step explanation:
Due to the time it took to solve this question, I had little time to type the answers fully
The answers are contained fully in the attachment I have uploaded.
A. H0: u1 = u2
H1: u1 not equal to u2
The t statistics was solved to be 3.03
The degree of freedom was solved to be 26
Given this information, this is a 3 tailed test, critical value at 5% = +-2.056
T stat > critical value
We therefore reject the null hypothesis at 5% and conclude they have different mean wear
The p value is calculated using excel and the result is 0.00544
We reject null at 5% since p value is less than 0.05
B. H0: u1 = u2
H1: u1>u2
Alpha = 0.05
Following a,
Test stat = 3.03
Df = 26
Critical value for 1 tailed test = 1.706
Test stat > 1.706
We reject H0 and conclude company 1 has higher mean wear.
We find p value for a right tailed distribution using excel
Tdist(3.03,26,1)
= 0.002722
We reject h0
C. Confidence interval
1.610 < u < 8.390
Which data set COULD NOT be represented by the box plot shown?
Answer:
B : {2, 10, 13, 7, 9, 5, 15, 12, 7, 13, 11}
Step-by-step explanation:
Maximum = 15
Minimum = 4
so, the values of the data set must lies between [4,15]
what is y=3x and y=2x+2 solution ??
( , )
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answer:
Step-by-step explanation:
For a solution to occur y=y so we can say
3x=2x+2 subtract 2x from each side
x=2, since y=3x
y=3(2)
y=6, so the solution exists at the point
(2,6)
In a hardware store I bought 5 screws costing
20 ¢ each and 3 light bulbs costing $3.99 each
If I paid with two $10.00 notes, how much
change did I receive?
Answer:
7.02
Step-by-step explanation:
20 ¢ x 5 = 1.00
3 x 3.99 = 11.97
11.97 + 1.00 = 12.97
20.00 - 12.97 = 7.02
O Fabiola's special seasoning mix has three ingredients. The recipe uses 5 parts
thyme, 3 parts parsley, and 1 part green onion. If she is making 45 tbsp of the
mix, how many tbsp of parsley does she need?
Answer:
i think that will be 27 because thats 3/5 of the total
Step-by-step explanation:
tell me if i got it right or wrong no hate
write each answer in simplest form
6% of 75
Geometry Need Help. I will give brainliest
Answer:
1 or 0.5
Step-by-step explanation:
Answer two questions about Systems
A
AA and
B
BB:
System
A
AA
start text, end text System
B
BB
{
x
−
4
y
=
1
5
x
+
6
y
=
−
5
⎩
⎪
⎪
⎨
⎪
⎪
⎧
x−4y=1
5x+6y=−5
{
x
=
1
+
4
y
5
x
+
6
y
=
−
5
⎩
⎪
⎪
⎨
⎪
⎪
⎧
x=1+4y
5x+6y=−5
1) How can we get System
B
BB from System
A
AA?
The correct answer is System B can be obtained from System A by replacing x in the second equation with the expression 1 + 4y and simplifying the resulting equations.
To obtain System B from System A, we can perform the following steps:
Start with System A:
System A:
x - 4y = 1
5x + 6y = -5
Solve the first equation in System A for x:
x = 1 + 4y
Substitute the value of x in the second equation of System A:
5(1 + 4y) + 6y = -5
Simplify and solve for y:
5 + 20y + 6y = -5
26y = -10
y = -10/26
y = -5/13
Substitute the value of y back into the equation we found in step 2:
x = 1 + 4(-5/13)
x = 1 - 20/13
x = (13 - 20)/13
x = -7/13
Write down the equations with the values of x and y:
System B:
x = -7/13
5x + 6y = -5
Therefore, System B can be obtained from System A by replacing x in the second equation with the expression 1 + 4y and simplifying the resulting equations.
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Hi can you guys help me pls thanks!
what you need help woth owo
Two bags of flour have a total weight of 8 3/4 pounds. What could be their individual weight
Answer:
4 3/8 lbs.
..................
There are infinitely many possible values for the individual weights of the bags of flour that would add up to a total weight of 8(3/4) pounds.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
The individual weights of the bags of flour must add up to a total weight of 8 3/4 pounds.
We can express 8 3/4 as an improper fraction by multiplying the whole number 8 by the denominator 4 and adding the numerator 3, giving us 35/4.
Therefore, we can set up an equation:
x + y = 8 3/4
where x is the weight of one bag of flour, and y is the weight of the other bag of flour.
We can simplify 8 3/4 to 35/4, so the equation becomes:
x + y = 35/4
We can solve for one variable in terms of the other:
x = 35/4 - y
Now we can substitute this expression for x into the original equation and solve for y:
x + y = 35/4
(35/4 - y) + y = 35/4
35/4 = 35/4
This equation is true for any value of y.
Therefore, there are infinitely many possible values for the individual weights of the bags of flour that would add up to a total weight of 8(3/4) pounds.
For example, one bag could weigh 4 pounds and the other could weigh 4 3/4 pounds, or one bag could weigh 3 pounds and the other could weigh 5 3/4 pounds, and so on.
Thus,
There are infinitely many possible values for the individual weights of the bags of flour that would add up to a total weight of 8(3/4) pounds.
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Plz help me thanks. :) mm
Answer:
A. 72×9=1/8
Step-by-step explanation:
the other two are decimals so it is A
Hope this helps!!
Samantha wants to move into an apartment when she begins school in the fall. Right now she
has a job where she makes $250 a week working 20 hours and will be able to keep this job once
she begins school. Her parents have decided to put $500 a month in for extras that she might
need once she begins school. Although Samantha is very excited about moving into an
apartment, she wants your advice on where to begin preparing for her move. She wants to put
together a budget but has no idea where to begin.
Explain to Samantha how to set up her budget.
a
b. Once Samantha has a budget, what should she consider when determining if moving
out when she is beginning school is a good idea or not. Give specific reasons why this
might be a good or bad idea.
Answer:
she should set up a budget on how much she makes
Step-by-step explanation:
Which of the following sets represents continuous data?
A. {1, 2, 3, ...)
B. (4,7)
C. {5, 13, 16, 20, 30)
D. {..., -9, -6, -3}
Answer:
option A is your answer okk
Find the domain and the range of the relation.
t = {(10,6), (28,- 10), (42,6), (10,10),(52,10)}
The domain of t = { ? }
Answer:
domain:{10,28,42,52}
range:{-10,6,10}
Step-by-step explanation:
Hello There!
If you didn´t know the domain is the set of x values
the x values in the given relation are
10,28,42,10 and 52
so the domain is {10,28,42,52}
The range is the set of y values
the y values in the given relations are
6,-10,6,10,10
so the range is {-10,6,10}
Please help now ASAP!!!!
Answer:
Step-by-step explanation:
I don't think u can tell from that because u need the length of each movie
Evaluate 4x – 3 for x = -2.
Answer: -11
Step-by-step explanation:
4(-2)-3
-8-3
=-11
Helppp!!!! Describe the translation of figure ABCD.› *
Answer:
(x,y) ---→ ( x + 3 , y + 1 )
Step-by-step explanation:
Hello There!
All we have to do is pick one letter and count the units from the preimage to the translated image
To get to A' you have to from A and go up one unit to the right 3 units
So the translation is 1 unit up 3 units to the right or (x,y) ---→ ( x + 3 , y + 1 )
type an (x,y) ordered pair to put a point on this line.
Answer:
(-2, 5)
Step-by-step explanation:
The ordered pair (x, y) for the given line can be obtained from the graph as (-4, 1).
What is the equation for a straight line?A straight line can be written in the form of equation as, y = mx + c.
Two straight lines intersect each other only at one point.
When two straight lines are parallel to each other the angle between them is zero.
The graph of the line is given.
In order to find the coordinate of a point do as follows,
Draw a perpendicular line from any point on the line to x-axis.
The intersection of this line with x-axis will give the x-cordinate.
Similarly, find y-coordinate by drawing a perpendicular line to y-axis.
Applying the above procedure, a point is obtained as (-4, 1).
Hence, the ordered pair for the line shown in the graph is (-4, 1).
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1. Consider the surface area of the following pyramid.
Calculate the total surface area of the pyramid. Show your work!
Answer:
Answer:
45 cm
Step-by-step explanation:
You use the formulas 1/2*base*height for area of a triangle and edge squared for the square so you do 1/2*2.24*3 for the area of one triangle, then times this by 4 to account for all triangles, then you add this to 3*3 which is the area of the square
PLEASE HELP!!! DUE IN 10 MIN!!!
Answer:
Option B
Step-by-step explanation:
Surface area of a triangular prism = Area of the triangular sides + Area of the rectangular sides
Area of the triangular sides = 2(Area of the triangular base)
= [tex]2[\frac{1}{2}(\text{Base})(\text{Height})][/tex]
= 10 × 12
= 120 ft²
Area of the rectangular sides = (Perimeter of the triangular side)(Height of the prism)
= (10 + 13 + 13)(15)
= 36 × 15
= 540 ft²
Surface area of the prism = 120 + 540
= 660 square feet
Option B will be the answer.
evaluuate 9-b when b=8
Answer:
[tex]\huge\boxed{\sf 1}[/tex]
Step-by-step explanation:
Given the expression:
= 9 - b
Given that b = 8
= 9 - 8
= 1
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Okay so we are asked to solve 9 - b, and we are told that b=8
Therefore this is just a matter of substitution:
9 - b
Substitute 8 for b:
9 - 8
Now just finish solving:
1
Therefore, the answer is 1
Hope this helped :)
I GIVE BRAINLIEST FOR EXPLANATION AND CORRECT ANSWER EXTRA POINTS
Answer: 125.66
Step-by-step explanation: my explanation is i searched it
it a tets please help it due today
please help!!!!! Its timed !!!!! Ill give out most brainly and extra points !!!