Consider the angle shown below with an initial ray pointing in the 3-o'clock direction that measures θ radians (where 0≤θ<2π). The circle's radius is 2 units long and the terminal point is (−1.15,−1.64).
The terminal point is how many radius lenghts to the right of the circle's center?
h=
Then, cos−1(h)=
Does the number we get in part (b) give us the correct value of θ?
Therefore, θ=
Answers
Answer:
hello attached below is the sketch of the missing diagram
a) h = 2
b) cos^-1 ( 2 ) = ∞
c ) θ ≈ 215°
Step-by-step explanation:
a) The length ( h ) to the right of the circles center
= h^2 = ( -1.15)^2 + ( -1.64)^2
∴ h = 2
b) cos^-1 ( 2 ) = ∞
c) The value gotten from b does not give us the value of θ
AB = - 1.64
BC = -1.15
AC = 2
sin^-1 ( - 1.64 / -1.15 )
cos^1 ( -1.15 / 2 ) gives us the value of θ
tan^-1 ( -1.64 / -1.15 )
∴ θ ≈ 215°
Related Questions
help me plssssssssss
Answers
9514 1404 393
Answer:
a, c, d
Step-by-step explanation:
b is NOT equivalent, because the content of parentheses is evaluated first. That makes the expression equal to 2/15, which is not equal to the given expression.
[tex]\dfrac{2}{(5\times 3}=\dfrac{2}{15}\ne\dfrac{2}{5}\times3=\dfrac{6}{5}[/tex]
__
Expressions (a) and (d) are exactly the same thing, written using different symbols for division. Expression (c) is the equivalent.
which is a true statement about the two rectangular prism shown below
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What is the answer to this
Answers
Answer:
The answer is x = 8
Step-by-step explanation:
The diagonals of square ABCD intersect at point E. If BE = 2x + 1, and AC = 3(6x - 4), find BD.
Answers
Answer:
Step-by-step explanation:
5
WILL GIVE BRAINLIEST !!
19. Car repairs. A consumer
organization estimates that
over a 1-year period 17% of cars will need to be repaired
once, 7% will need repairs twice, and 4% will require
three or more repairs. What is the probability that a car
chosen at random will need
a) no repairs?
b) no more than one repair?
c) some repairs?
Answers
Answer:
I think the answer is b. I am not sure so if I was incorrect I apologize.
Step-by-step explanation:
-27 +2+ 23р - Зр
Hurry please
Answers
Answer:
20p - 25
Step-by-step explanation:
-27 +2+ 23р - Зр
20p - 25
Answer:
-25+20p
Step-by-step explanation:
Add -27 and 2
-25+23p-3p
Subtract 3p from 23 p
-25+20p
Hope this helps! If so brainiest, please?
Thanks!!!
Rectangles R and S are similar. If the area of rectangle R is 40, what is the area of rectangle S?
Answers
Answer:
14.4 units²
Step-by-step explanation:
The ratio of Area of rectangle R to area of rectangle S = square of the length of rectangle R to square of lthe ength of rectangle S
Let the area of rectangle S be represented by x, therefore:
40 : x = 8² : 4.8²
40/x = 64/23.04
Cross multiply
x*64 = 40*23.04
64x = 921.6
x = 921.6/64
x = 14.4
Area of rectangle S = 14.4 units²
What is the sum of 50.249 + 21.3
Answers
Answer:
71.549
Step-by-step explanation:
Answer:
The sum of 50.249 + 21.3 is 71.549.
Step-by-step explanation:
50.249 + 21.3 can be written as (50 + 20) + (0 + 1) + (0.2 + 0.3) + 0.049, which makes calculating the sum easier. 50 + 20 = 70, 0 + 1 = 1, 0.2 + 0.3 = 0.5, and you still have a 0.049. Add the numbers all together and you'll get that the sum of 50.249 and 21.3 is 70 + 1 + 0.5 + 0.049 or 71.549.
Find the surface area of the rectangular prism be sure to include the correct unit in your answer
Answers
Answer:
SA = 292 m²
Step-by-step explanation:
SA = (2x6x8)+(2x7x6) + (2x7x8) = 292 m²
What were the
prominent primary, secondary and tertiary effects the disaster brought?
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A rectangle has an area of 1008
square feet. Its width is six feet less
than twice the length. Find the
measures of the length and width of
the rectangle.
Answers
9514 1404 393
Answer:
length: 24 ftwidth: 42 ftStep-by-step explanation:
The area is the product of length and width. If L represents the length, then the width is (2L -6), and the area is ...
L(2L -6) = 1008
L² -3L -504 = 0 . . . . . divide by 2, put in standard form
(L -24)(L +21) = 0 . . . . factor
L = 24 . . . . makes the first factor zero
W = 2L -6 = 2(24) -6 = 42
The length of the rectangle is 24 feet; the width is 42 feet.
which if the following equations fit this graph?
Answers
That it I think so
What number does point A represent???
Answers
Answer:
1 1/2
Step-by-step explanation:
Ther *must* be an faster way of symplifying this expression. What could I have done differently?
Answers
Answer:
3x4
Step-by-step explanation:
You're gonna want to simplify that equation. We see the three and the four. Multiply that to get x^12
find the equation of the line use exact numbers
Answers
Answer:
y = -³/2x + 3
Step-by-step explanation:
To find the equation of the line in slope-intercept form, y = mx + b, we need to finder the slope (m) and the y-intercept (b).
✔️Slope (m) = ∆y/∆x
Using two points on the line, (0, 3) and (2, 0),
Slope = (0 - 3)/(2 - 0) = -3/2
Slope (m) = -³/2
✔️y-intercept (b) = 3 (this is the y-cooordinate of the point where the line intercepts the y-axis)
✔️To write the equation, substitute m = -³/2 and b = 3 into y = mx + b
This:
y = -³/2x + 3
m
N. M
(8x+17)
(12x-39)
Answers
Answer:
96x^2 - 108 - 663
Step-by-step explanation:
(8x + 17)(12x - 39)
96x^2 - 312x + 204x -663
96x^2 - 108 - 663
The factory building manager at Delectable Delights, Jason Short, is concerned that the new contractor he hired is taking too long to replace defective lights in the factory workspace. He would like to perform a hypothesis test to determine if the replacement time for the lights under the new contractor is in fact longer than the replacement time under the previous contractor, which was 3.2 days on average. He selects a random sample of 12 service calls to replace defective lights and obtains the following times to replacement (in days). Use a significance level of
0.05. 6.2 7.1 5.4 5.5 7.5 2.6 4.3 2.9 3.7 0.7 5.6 1.7
1. Define μ in the context of the problem and state the appropriate hypotheses. (5 pts)
2. Regardless of your results in Part B, calculate the appropriate test statistic by hand. Write out all your steps.
3. What is your decision regarding the null hypothesis? (In other words, do you reject or fail to reject and why?)
4. Write a final concluding statement to Jason giving the results of the hypothesis test. (In other words, write the final summary statement.)
Answers
Answer:
H0 : μ = 3.2
H1 : μ > 3.2
1.982
We fail to reject the Null ;
There is no significant evidence to conclude that the mean replacement time under the new contractor takes longer than the usual average time.
Step-by-step explanation:
μ = average time taken by the previous contractor. ; μ = 3.2
H0 : μ = 3.2
H1 : μ > 3.2
Sample size, n = 12 ;
X = 6.2 7.1 5.4 5.5 7.5 2.6 4.3 2.9 3.7 0.7 5.6 1.7
xbar = Σx / n = 53.2 / 12 = 4.43
Standard deviation, s ; using a calculator :
s = 2.15
B.)
The test statistic :
(xbar - μ) ÷ (s / sqrt(n))
(4.43 - 3.2) ÷ (2.15 / sqrt(12))
1.23 ÷ 0.62065
= 1.982
C.)
Decision Region :
If Pvalue < α ; Reject the null
α = 0.05
Pvalue :
P(x < 1.982) = 0.9762
0.9762 > 0.05 ; Hence, we fail to reject the Null
There is no significant evidence to conclude that the mean replacement time under the new contractor takes longer than the usual average time.
Hakima and Joshua both opened savings accounts. Both started with a balance of zero dollars. For every $3 that Hakima saves in her account, Joshua saves $5. If they have saved a total of $336, how much did Hakima save?
Answers
Solve each proportion 3/39= y/13
Answers
Answer:
[tex]y = 1[/tex]
Step-by-step explanation:
[tex] \frac{3}{39} = \frac{y}{13} [/tex]
Cross multiply
[tex]39 = 39y[/tex]
Divide by 39
[tex]y = 1[/tex]
Answer:
[tex]\boxed {\boxed {\sf y=1}}[/tex]
Step-by-step explanation:
To solve the proportion, we must solve for the variable. This is done by isolating the variable.
[tex]\frac {3}{39}= \frac {y}{13}[/tex]
The variable, y, is being divided by 13. The inverse of division is multiplication. Multiply both sides of the proportion by 13.
[tex]13*\frac {3}{39}= \frac {y}{13}*13[/tex]
[tex]13*\frac {3}{39}=y\\1=y[/tex]
Another way to solve is by cross multiplying. Multiply the 1st numerator by the 2nd denominator, then the 1st denominator and the 2nd numerator.
[tex]\frac {3}{39}= \frac {y}{13}[/tex]
[tex]3*13=39*y\\39=39y[/tex]
Divide both sides by 39 to isolate the variable.
[tex]39/39=39y/39 \\1=y[/tex]
In this proportion, y is equal to 1.
what are 2 challenges that Will Smith faced
Answers
Answer:
Will Smiths wife cheated on him!
Step-by-step explanation:
The Lazy River has a current of 2 miles per hour. A motorboat can travel 15 miles
down the river in the same amount of time it takes to travel 9 miles up the river.
What is the speed of the boat in still water? Please show your work and use table to
relate time, speed, distance.
Answers
Answer:
8mph
Step-by-step explanation:
I just answered the question
A scale drawing of an NFL god post uses a
scale of 2 inches = 5 feet. If the actual width
of the goal post is 182 feet, what is the width
of the goal post on the drawing?
Answers
What is the absolute value of 86 1/4
Write your answer as a mixed number.
Answers
Answer:
it is 84 1/4
Step-by-step explanation:
The exact form is 337/4
The decimal form is 84.25
i am so confused. not sure how to solve need step by step instruction to help please
given:f(x)=3x−7 for × ≥0
f(x)=-2x +3 for x >0
find: f(-5)
Answers
Answer:
13
Step-by-step explanation:
Since -5 is less than zero, we use the second equation, and substitute the -5 in for the x.
-2(-5)+3=13
4 x ? is close to 105
Answers
(4 x 25 = 100)
can someone show work and explain ??
Answers
Answer:
481 cubic inches
Step-by-step explanation:
Volume of the figure = Volume of the triangular prism + rectangular prism
Volume of the triangular prism = Base area * height
Volume of the triangular prism = (1/2*5*3) * 6
Volume of the triangular prism = 15/2 * 6
Volume of the triangular prism = 15 * 3
Volume of the triangular prism = 45in³
Volume of the rectangular prism = 16*7*3
Volume of the rectangular prism = 336in³
Volume of the figure = 45+336
Volume of the figure = 481 cubic inches
How
many solutions does the equation 4X + 8 = - 2 - 2 + 5x have?
Two
® One
Zero
Infinitely many
Answers
Answer:
x = 12
Step-by-step explanation:
by direct solution
otherwise this system many solution
Answer:
one
Step-by-step explanation:
4x+8=-4+5x
or, 5x-4x = 8+4
hence,
x=12
Select two days on which mike ran a total of 6 5/6 miles.
Answers
Saturday and sunday.............
please answer asap! no scam links or scam comments or reported.
Answers
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
:))
Medical researchers are studying a certain genetic trait found in two populations of people, W and X. From an independent random sample of people taken from each population, the difference between the sample proportions of people who carried the trait (W minus X) was 0.22. Under the assumption that all conditions for inference were met, a hypothesis test was conducted using the following hypotheses.
H0 : pW=pXHa : pW > p XHo : pW= pX Ha: pW >pX
The p-value of the test was 0.03. Which of the following is the correct interpretation of the p-value?
a. The probability of selecting a person from population W who carries the trait is 0.22, and the probability of selecting a person from population X who carries the trait is 0.03.
b. If the proportions of all people who carry the trait are the same for both populations, the probability of observing a sample difference of at least 0.22 is 0.03.
c. If the proportions of all people who carry the trait are the same for both populations, the probability of observing a sample difference of 0.22 is 0.03.
d. If the difference in proportions of people who carry the trait between the two populations is actually 0.22, the probability of observing that difference is 0.03.
e. If the difference in proportions of people who carry the trait between the two populations is actually 0.03, the probability of observing that difference is 0.22.
Answers
Answer:
If the proportions of all people who carry the trait are the same for both populations, the probability of observing a sample difference of at least 0.22 is 0.03
Step-by-step explanation:
Given the hypothesis :
H0 : pW = pX
Ha : pW > pX
W - X = 0.22
Pvalue = 0.03
Since the Pvalue gives the probability of obtaining a value or result figure which is atleast as extreme as the observed value. The observed value here is 0.22 resulting from the difference in W and X (W - X).
This can thus be interpreted to mean ; going by the Null (difference between W and X) ; the probability of obtaining a value of atleast 0.22 as difference is 0.03
