The sine of the angle theta is given by the ratio of the opposite leg to the hypotenuse side of the right triangle formed by the terminal segment.
The true location of the terminal side of the angle θ is given by the option; Theta has a reference angle of 30° and is in Quadrant I or II.Reasons:
The given parameters are;
The sine value of the given angle = One-half
Required: To select the true statement of the location of the terminal side.
Solution:
Given that sin(θ) = 0.5, we have;
The sine of an angle is positive in Quadrant I and Quadrant II
Given that the value of sin(θ) is positive, we have θ is in Quadrant I or Quadrant IIThe reference angle, is the angle formed between the angle's terminal side and x-axis
By trigonometric ratios, considering the reference angle, we have;
θ = arcsin(0.5) = 30°
Therefore;
The option that gives the true location of the terminal side of an angle, that have a sine value of One-half is; Theta has a reference angle of 30° and is in Quadrant I or II.
Learn more about trigonometric ratios here:
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Answer:
a
Step-by-step explanation:
edge
seven more than three-fourths of a number is no less than 31
Answer: 7+3/4x >= 31
Step-by-step explanation: 7 more = +7
three - fourths of a number = 3/4 x
no less than = >= (more than or equal to sign)
MEDIUM) Ana gave Bill and Clare as much money as each had. Then Bill gave Ana and Clare as much money as each had. Then Clare gave Ana and Bill as much money as each had. Then each of the three people had $24. How much money did each have to begin with
Answer:
At the very end, the amounts of money are:
A -- 24
B -- 24
C -- 24
If A and B received as much as they had just prior to the last transaction, they must each have received 12 and they must have received it from C, so at the end of the previous step, the situation must have been:
A -- 12 (24 minus 12)
B -- 12 (24 minus 12)
C -- 48 (24 plus 12 plus 12)
Before that, A and C got half of what they had above from B, so:
A -- 6 (12 minus 6)
B -- 42 (12 plus 6 plus 24)
C -- 24 (48 minus 24)
And initially, B and C got half of what they had above from A, so:
A -- 39 (6 plus 21 plus 12)
B -- 21 (42 minus 21)
C -- 12 (24 minus 12)
Step-by-step explanation:
Which of the following sequences of transformations maps \triangle DEF onto \triangle ABC?
Answer:
D because then triangles DEF and ABC would mapped onto one another.
Step-by-step explanation:
d) Neither
Y varies directly as x if x=15 when y=20, find x when y=30
Answer:
X=22.5
Step-by-step explanation:
Y=kX
20=15k
k=4/3
For X when Y=30
30=4/3×X
Cross multiply
4X=90
X=22.5
3. If you are calculating the acceleration of an object, and it has a speed of 30 km/hr
and the time is measure in hours what are the units for acceleration?
I
We want to see which units we should use for acceleration in the given scenario, the units that we must use are km/h², or kilometer per hour squared.
So we know that acceleration is the rate of change of the velocity (in the same way that velocity is the rate of change in position).
Note that position is represented only with distance units, like km.
And to get a velocity you use the units km/h (that tell you how many kilometers your position changes in one hour).
Similarly, the rate of change of the velocity will be (velocity)/time.
(km/h)/h = km/h²
Which is kilometers per hour squared.
If you want to learn more about acceleration, you can read:
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Hi this is algebra math. It’s been a while since I’ve been on this app but I need some help on if the problem graphed the slope right or wrong.
Determine the slope of the line that passes through pair of points: (-4, 11) and (1,-9)
Answer:
rise/run= -20/5= -4/1=-4 slope
or you sound use the slope formula (y2-y1)/(x2-x1)
(-9-11)/(1+4)
-20/5
-4
Hope this helps
1. A hat store tracks the state of college and professional team hats for m, months. The number of
college hats sold is represented by (6m+3). The number of professional hats sold is represented by
(5m-2). Write an expressions to show how many more college hats were sold than professional hats.
Then evaluate the expression if m equals 10.
NYS
2. Which expression is equivalents to the expression -3(4x-2)-
2x ? Explain the process you used to find your solution.
A. -8x
B. -16%
C. -14x-2
D. -14x + 6
3. A square scrapbooking page has a perimeter of (8x+20) inches. What is the length of one side of the
scrapbooking page? Show your work.
1) The expression representing how many more college hats were sold than professional hats is [tex]m+5[/tex]
when [tex]m=10[/tex], [tex]15[/tex] more college hats were sold
2) The equivalent expression to [tex]-3(4x-2)-2x[/tex] is [tex]-14x+6[/tex]. The explanation is found in the steps below
3) The length of one side of the square scrapbooking page will be
[tex](2x+5)\text{ inches}[/tex]. The working is shown below.
1) According to the question, [tex]m[/tex] is the number of months hats were sold.
[tex]6m+3[/tex] is the number of college hats sold in [tex]m[/tex] months
[tex]5m-2[/tex] is the number of professional hats sold in [tex]m[/tex] months
Since [tex]6m+3>5m-2[/tex] when [tex]m>0[/tex]
the expression representing how many more college hats were sold than professional hats is
[tex](6m+3)-(5m-2)\\=6m+3-5m+2\\=m+5[/tex]
when the number of months hats were sold is [tex]10[/tex], [tex]m=10[/tex], and
[tex]m+5=(10)+5=15hats[/tex]
[tex]15[/tex] more college hats were sold in [tex]10[/tex] months
2) To get the equivalent expression to [tex]-3(4x-2)-2x[/tex], carry out the steps below
remove brackets
[tex]-12x+6-2x[/tex]
arrange like terms
[tex]-12x-2x+6[/tex]
simplify like terms
[tex]-14x+6[/tex]
The answer is (D)
3) Let the length of one side of the square be [tex]s[/tex]
The perimeter will be
[tex]4s=8x+20[/tex]
making [tex]s[/tex] the subject of the formula
[tex]\dfrac{4s}{4}=\dfrac{8x+20}{4}\\\\s=(2x+5)\text{ inches}[/tex]
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1. Determine the domain and range of the function f(x) = x2 + 2. Give your answer in all three notations for continuous
functions.
=
pls help!! algebra 1 math
Answer:
First what does x represent. For example x could equal 5 so (5)2 +2 simplified is 10 +2 which is 12 :)
Step-by-step explanation:
Please I really need help (50 points)
Provide the missing statements and reasons for the following proof.
Answer:
PROOF FOR THE "PROVE" SECTION:
As linear pairs, angle 2 and 3 are supplementary to each other. Angle 1 is equal to angle 2, as they are both same-side interior angles. Therefore, angle 1 and angle 3 are also supplementary.
Filling in the missing blanks:
S1. Angle 1, Angle 2, Angle 3
S2. Angle 1 and Angle 2
R3. Congruent (___)
R5. supplementary angles
S7. Angle 1 = Angle 2, so Angle 1 can be substitued in for Angle 2 in any equation, and Angle 2 can be substitued for Angle 1 in any equation as well (they can replace each other, like x=y & y=x or a=b & b=a)
Hope this helped! Have a great day (pls mark brainliest)!!
CAN SOMEONE HELP ME PLEASE ASAP!?
Answer: 20 ft.
Step-by-step explanation:
Simply multiply 5 x 4.
Answer:
20 ft`
Step by step explanation:
N/A
Please help me with this, I need a real answer quickly before the period ends. Explanation if you can too pls
Answer:
(4, -6)
Step-by-step explanation:
The rule for rotation around the origin 90 degrees clockwise is
Ro, 90: (x, y) --> (y, -x)
so (6, 4) --> (4, -6)
12x(8x-20)÷4(2x-5) please solve it
Answer: 48[tex]x^{3}[/tex]-240[tex]x^{2}[/tex]+300x
hopes this helps
mathematics 8
.................................................plz helpp
Answer:
[tex]y\geq 18x+19y[/tex]
[tex]x+y\leq 13[/tex]
Step-by-step explanation:
Hope this helped! :)
David has $90 to spend on sneakers. The sales tax in his state is 6%.
Vincent has $95 to spend on sneakers. The sales tax in his state is 9%.
Both boys are interested in a pair of sneakers that costs $86. Who will be able to buy the sneakers?
Answer:
Vincent will be able to buy the sneakers, while David will not be able too.
Step-by-step explanation:
I believe this is true because for David,
6% of 86$ is 5.16$
so 86 + sales tax (which is 5.16) = 91.16$
David only has 90$ so he can't afford the sneakers. They are 1.16$ over his budget.
While for Vincent,
9% of 86$ is 7.74$
so 86 + sales tax (which in this case is 7.74) = 93.74
Vincent has 95$ to spend so he can afford the shoes.
I am not exactly sure if all calculations are correct, but I hope this helps! :)
Answer:
Vincent
I took the test on edg
Marco needs to buy some cat food. At the nearest store, 3 bags of cat food cost $15.75. How much would Marco spend on 5 bags of cat food?
Answer:
26.25
Step-by-step explanation:
26.25
Answer:
5 bags = $26.25.
Explanation
First, you need to find out how much $ it takes to buy ONE(1) bag of cat food. To find out, you have to do 15.75 divided by 3 bags = $5.25.
Thats how much cash($) it takes to buy ONE(1) BAG. To buy FIVE(5) bags, you have to multiply 5.25 x 5 = $26.25.
If each bag of cat food is = $5.25 dollars each, how much dollars will he have to pay for 5 bags?
Situation
5.25 x 5 = 26.25
Write the inequality represented by the graph below. (0,-2) (0,1)
(repost) Please help! It involves inequalities! Also please include a number line.
Answer:
-5 ≤ x
Step-by-step explanation:
2(x -3) -5x ≤ 9 . . . . . given
2x -6 -5x ≤ 9 . . . . . . eliminate parentheses
-3x -6 ≤ 9 . . . . . . . . combine like terms
-6 ≤ 9 +3x . . . . . . . add 3x
-15 ≤ 3x . . . . . . . . subtract 9
-5 ≤ x . . . . . . . . . divide by 3
__
The point x=-5 is included in the solution set, so there is a sold dot at that point. The rest of the solution set is values of x that are greater than that value, so the number line is shaded to the right of that point. Your number line should show an arrow at the right end of the graph to indicate it extends that direction indefinitely. (My graphing program doesn't draw arrows easily.)
_____
Additional comment
Perhaps the most straightforward way to solve this would have been to add 6 instead of 3x. That would give ...
-3x ≤ 15
Then dividing by -3 would give x. That operation would reverse the inequality symbol (because the divisor is negative). Then you would have ...
x ≥ -5
Either way works. We judge it to be less confusing when we don't have to change the direction of the inequality symbol.
Classify the following polynomial function, −3x(x2−4)(2x2+5)based on degree and number of terms.
Answer:
Quintic Trinomial (2nd option)
Step-by-step explanation:
We know that this is a quintic polynomial because the degrees add up to 5. If we expand the polynomial, we have [tex]-3x(x^2-4)(2x^2+5)=(-3x^3-12x)(2x^2+5)=-6x^5-45x^3-24x^3-60x=-6x^5-69x^3-60x[/tex]
So, there are 3 terms, which is a trinomial.
Calculate the measure of arc AC if the measure of arc CD is 170 degrees and arc AB is 80 and AB||CD.
Answer:
AC = 55°
Step-by-step explanation:
In this geometry, arcs AC and BD have the same measure. The sum of the parts of arc CD will total the measure of CD.
AC + AB + BD = CD
2AC +80 = 170
AC = 110/2 = 55
The measure of arc AC is 55°.
Answer:
AC = 55°
Step-by-step explanation:
because the measure is part of CD. Hope this helps!
At a delicatessen there were 20 different kinds of cheese and 30 kinds of meats. What is the ratio of cheese to meats at this delicatessen?
Answer:
2:3
Step-by-step explanation:
Simply divide each by 10
20/10=2
30/10=3
and your ratio is 2:3
Eva spent $11.61 downloading songs, and each song cost $1.29. Four students wrote and solved equations to find s, the number of songs that she downloaded. Which student wrote and solved the equation correctly?
Seba’s work:
1 dollar and 29 cents = 11 dollars and 61 cents. S = 10.
Ari’s work:
1 dollar and 29 cents = 11 dollars and 61 cents. S = 9.
Erick’s work:
StartFraction s Over 1 dollar and 29 cents EndFraction = 11 dollars and 61 cents. S = 14.98.
Daniel’s work:
StartFraction s Over 1 dollar and 29 cents EndFraction = 11 dollars and 61 cents. S = 9.
Answer:
1.29s = 11.61
s = 9
Step-by-step explanation:
1.29s = 11.61
s = 11.61/1.29
s = 9
Answer:
The correct answer is Ari's work
Step-by-step explanation:
right on edge
Welcome!^^
Please Help! I don't have much time to finish!
Answer:
............
Step-by-step explanation:
here........
Find the value of x
Answer:
x = 17
Step-by-step explanation:
The hash marks indicate that the segment marked x+2 connects the midpoints of the sides of the triangle. Therefore, it is a "midline" and has half the length of the parallel base.
x +2 = 1/2(38)
x = 19 -2 . . . . . subtract 2
x = 17
Please answer really quick
Answer:
A, 94
Step-by-step explanation:
4. A since that is the tallest of the bars
5. 51 + 9 + 34 = 94 people
4. Find the difference. (-7p + 10) - (p + 12)
Answer:
-8p -2
Step-by-step explanation:
(-7p + 10) - (p + 12) =
-7p + 10 - p - 12 =
-8p -2
Find the equation of line through (-15,9) with slope 4/5 in slope-intercept form.
Answer:
well, we know it is
y = -4 x + b
so all we need is b
5 = -4(9) + b
5 = -36 + b
b = 41
so
y = -4 x + 41
7. The graph of a linear function is shown on the coordinate grid.
(6, 1)
(-6,-5)
What is the slope of the graph of this function in DECIMAL FORM.
Solve the set of simultaneous equations graphically. Use a scale of 1cm = 1 unit on both axes.
y=4+x
y=1+3x ; 0≤x≤6
Graphs attached
(x,y)=(1.5,5.5)Define algebra ? And give some examples..
Answer:
Algebra is a abstract way of thinking about things. We usually see this by defining things we don't know as some sort of symbol (Matter of fact. All of Mathmatics revolves around symbols). It doesn't necessarily have to be a number. I could label some big brown sturdy thing with green stuff on top as a tree which in a mathmatical sense the tree would be the variable and the actual thing would be the thing inside of the variable. But basically it's an abstract way of thinking
Step-by-step explanation:
