Using an inverse trigonometric function, we will find that the solution is:
θ = 1.047
How to solve that equation?Here we want to solve the equation:
1 - cos(θ) = 1/2
Such that θ ∈ [0,2pi)
Now let's return to our equation:
1 - cos(θ) = 1/2
1 - 1/2 = cos(θ)
1/2 = cos(θ)
Now we could apply the inverse cosine function to both sides, then we will get:
Acos(1/2) = Acos(cos(θ))
1.047 = θ
That is the solution.
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The length of a rectangle is 4 inches more than 4 times the width. The perimeter is 138 inches. Find the length and the width.
paper costs $1.50, which inequality is used to find how many rolls of paper could be purchased with less than $12?
Answer:
1.50x < 12 (the inequality would just be "less than")
Step-by-step explanation:
Plz help me well mark brainliest if correct.......????.
Answer:
the answer is 6 feet!!
Answer:
A. 6 feet
Step-by-step explanation:
What is this expression in simplified form?
(√22) (5√2)
O A. 10√11
O B.
12√11
O c.
20v/11
OD. 24√/11
Radicals
Simplifying radicalsApplicationStep 1: DefineLet's organize what the problem gives us.
We are given an expression to simplify: [tex]\displaystyle (\sqrt{22})(5 \sqrt{2})[/tex]
Step 2: WorkRecall the specific rules to simplify radicals. We will apply those rules here to help us answer the question:
[tex]\displaystyle\begin{aligned}(\sqrt{22})(5 \sqrt{2}) & = 5 \sqrt{44} \\& = 5 \sqrt{4 \cdot 11} \\& = (5 \sqrt{4})(\sqrt{11}) \\& = (5 \cdot 2)(\sqrt{11}) \\& = \boxed{ 10 \sqrt{11} }\end{aligned}[/tex]
∴ the expression (√22)(5√2) simplifies down to 10√11.
Answer∴ the expression in simplified form is equal to A. 10√11.
___
Topic: Pre-Algebra
Unit: Radicals
What is the value of k?
1/2k + 6 = 4k - 8
Answer:
k=4
Step-by-step explanation:
[tex] \frac{1}{2} k - \frac{4}{1} k = - 8 - 6[/tex]
[tex] \frac{(1 \times 1) - (4 \times 2)}{(2 \times 1)} k = - 14[/tex]
[tex] \frac{1 - 8}{2}k = - 14[/tex]
[tex] - \frac{7}{2} k = - 14[/tex]
[tex] \frac{ - \frac {7}{2} }{ - \frac{7}{2} }k = \frac{ - 14}{ - \frac{7}{2} } [/tex]
[tex]k = 4[/tex]
answer t h i s. p l e a s e
help plz it due in an hour
Answer:
4√3/3
Step-by-step explanation:
This is a 30,60,90 triangle. Therefore, small side (X) is equal to 4/√3 or X√3. In this case, it is 4/√3. This is equal to 4/√3 times √3/√3. This means the answer will be 4√3/3. Therefore, X=4√3/3
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Find the area of the image.
help pls
Answer:
[tex]A) 16.56 ~in^{2}[/tex]
Step-by-step explanation:
[tex]Area=\frac{a+b (h)}{2}[/tex]
[tex]\frac{6.1+3.1(3.6)}{2}[/tex]
= [tex]\frac{9.2(3.6)}{2}[/tex]
= [tex]4.6(3.6)[/tex]
= [tex]A=16.56[/tex]
----------------------
hope it helps...
have a great day!!
Answer:
A) 16.56
Step-by-step explanation:
hope it helps...
For every 15 situps Ryan does, he does 10 push-ups. Create a table of equivalent ratios that show the relationship between the number of sit-ups and the number of push-ups Ryan does.
Answer:
15/10, 30/20, 60/40, 120/80, 240/160, 480/320
Step-by-step explanation:
The number of push-ups is 2/3 the amount of sit-ups, so the ratio of sit-ups to push-ups is 3:2.
The easy way to do this is to double both 15 and 10 so your answer will stay an equivalent ratio. You will always have a 3:2 ratio this way.
What are the more appropriate measures of center and spread for this data
set?
Except Option - A all satisfy the more appropriate measures of center and spread for the data that is median and IQR.
Given that,
We have to find what are the more appropriate measures of center and spread for data.
We know that,
Mean, median, and mode are the three central tendencies, and median is the more accurate indicator.
This is because
i) Extreme values affect the mean.
ii) If there are more outliers, the mean is in error.
iii) Means that are biassed to the right or left may not accurately reflect the nature of the data.
However, median is preferable to mean because it represents the center entry and is unaffected by extreme items or outliers.
Since extreme items will show higher standard deviation and some outliers may be misleading, IQR is a superior spread measurement tool. However, IQR provides an excellent idea.
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a line has a slope of 7/10 and a y intercept of (0,-4) what is the equation of the line in standard form
Considering the definition of a line, the equation of the line in standard form is y - 7/10x= -4
What is Linear equationA linear equation o line can be expressed in the form y = mx + b
where
x and y are coordinates of a point.m is the slope.b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.The standard form of a linear equation is Ax + By = C. In this type of equation, x and y are variables and A, B, and C are integers.
Equation in this caseIn this case, you know:
A line has a slope of 7/10.A line has a y-intercept of (0,-4).So, the line can be expressed as:
y=7/10x -4
Expresed in standard form:
y - 7/10x= -4
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help please! i give brainly-est just help no links! (if u give incorrect answer i bop u and reports) TwT
Answer:
3. 1
4. 8.625 mi
5. 5 3/8
Step-by-step explanation:
That's all I know
Hii... please talk to me, I want a friend :(
WILL MARK BRAINLIEST
The sum of an interior angle and its exterior angle is ___ for all regular polygons.
Answer:
180
Step-by-step explanation:
The sum of the measures of the interior angles of a polygon with n sides is (n – 2)180. If you count one exterior angle at each vertex, the sum of the measures of the exterior angles of a polygon is always 360°.
Hope it helped :)
suppose that a randomly generated list of numbers from 0 to 9 is being used to simlulate an event that has a probability of success of 30% which of these groups of numbers could represent a success
Any event for which, the 3 numbers between 0 and 9 are outcomes could represent the success.
What is probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.Given is that suppose that a randomly generated list of numbers from 0 to 9 is being used to simulate an event that has a probability of success of 30%.
For the success rate of 30%, this means the probability of that specific event would be 0.3.
So any event for which, the 3 numbers between 0 and 9 are outcomes or are the number of favorable events could represent the success.
Therefore, any event for which, the 3 numbers between 0 and 9 are outcomes could represent the success.
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5. What polygon is shown?
+
Answer:
Step-by-step explanation:
Pentagon
Answer: Pentagon
Step-by-step explanation: The shape has 5 sides so it's a pentagon
gretchen buys a sweater at a clearance sale for $35.74. The original price of the sweater was $59.99. Find the percent discount.
Answer:
59.5765%
Step-by-step explanation:
$35.74/$59.99
< 8. If m M = (8x - 56) and mNP = (5x + 22), find mLP. M39 degrees
Answer:
I think 42 is the answer...
let sets a and b defined as follows
A is c,d,e,f,g
b is the set of odd numbers greater than 5 and less than 13
Answer:
The set A is defined as the set containing the elements c, d, e, f, and g.
The set B is defined as the set of odd numbers greater than 5 and less than 13. This set includes the elements 7, 9, and 11.
Step-by-step explanation:
Is it plausible that the average commute time is actually 20 minutes? Explain.
Answer:
Yes
Step-by-step explanation:
Most commutes to work or errands are about 8 to 32 minutes - averaging at around 20 minutes.
Find each indicated measure.
Find m
Answer:
m<N = 32°
Arc NQ = 106°
Step-by-step explanation:
✔️Find m<N:
Inscribed angles theorem, we would have;
m<N = ½(arc MP)
arc MP = 64°
Substitute
m<N = ½(64°)
m<N = 32°
✔️Find measure of arc NQ:
m<P = ½(arc NQ) => inscribed angle theorem
53° = ½(arc NQ)
Multiply both sides by 2
2*53° = arc NQ
106° = arc NQ
Arc NQ = 106°
a copy machine can make 500 copies every 4 minutes. how many minutes per copy?
Answer:
125 per minute.
Step-by-step explanation:
To get this answer, you simply need to divide 500 (the amount that it can make it 4 minutes.) by 4. (The amount of time it takes to make 500 copies.)
You get the answer 125.
If a= m2 + 2, what is the value of a when m=-3?
0-7
-4
11
00
Answer:
a=11
Step-by-step explanation:
a=m2 +2
a= (-3)2+2
a=9+2
a=11
The square of a number minus six times a number equals negative five.
The equation is ?
The solutions to the equation is ?
Equation [tex]x^{2}-6x=-5[/tex]
Solving:
[tex]x^2 - 6x+5=0\\\\(x-5)(x-1)=0\\\\x=1, 5[/tex]
Determine if the graph is a function.
Answer:
1. not a function
2. function
3. function
Step-by-step explanation:
ask yourself..."does it pass the vertical line test?"
Graph 5/3 on the number line.
Answer:
5/3 is the same thing as 1 and 2/3 so just put it on the second line after the number 1 and trust me I’m so sorry if I am wrong
Step-by-step explanation:
Given that a function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6, select the statement that could be true for g. A. g(7) = -1 B. g(-4) = -11 C. g(0) = 2 D. g(-13) = 20
Answer: B
Step-by-step explanation:
The standard form of an absolute value function is f(x)= a lx- h| + k. Which of the following represents the vertex ?
0 (-k,n)
o (-h,k)
O (k,n)
O (h,k)
Answer:
D. (h,k)
Step-by-step explanation:
got it right on edge
please only right answers
Answer:
what is the full question? 4 units left or right or?
please help NO LINKS
Answer:
(5,-6)
Step-by-step explanation:
This is where the two lines meet. I hope this helps ◕ ◡ ◕
2 cm
A glass bead has the shape of a rectangular prism with a smaller rectangular
prism removed. What is the volume of the glass that forms the bead?
]
2 cm
4 cm
7 cm
4 cm
(The figure is not to scale.)
The volume of the glass that forms the bead is cm3.
Answer:
80
Step-by-step explanation: