Answer: x = 41.4°
Step-by-step explanation:
We want to solve:
Cos(x) = 3/4
Such that this is on quadrant 1.
(if x is in degrees, the possible values of x will be: 0° ≤ x ≤ 90°)
To solve this we need to remember the inverse functions.
If we have two functions f(x) and g(x), these functions are inverses if:
f( g(x) ) = x
g( f(x) ) = x
Then the inverse of the cosine function (this function is "arcos(x)") is such that:
Arcos( cos(x) ) = x
Then in our equation:
Cos(x) = 3/4
We can apply the inverse function to both sides to get:
Arcos(Cos(x)) = Arcos(3/4)
x = Arcos(3/4)
(To find the Arcos function in your calculator, you need to use the button "inv" and then the "cos" button, and remember to have your calculator in deg mode)
x = Arcos(3/4) = 41.4°
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answer:
Step-by-step explanation:
(1, 72) (2, 73)
(73 - 72)/(2 - 1)= 1/1= 1
y - 72 = x - 1
y = x + 71
If a(x) = 3x + 1 and b(x)= VX-4, what is the domain of (bºa)(x)?
0 (-0,00)
0 (0.00)
O [1,00)
O [4,00)
The domain of [tex]b\,\circ \,a\,(x)[/tex] is [tex][1, +\infty)[/tex].
How to apply composition between functions
The composition of two functions consists in replacing the variable of the former function ([tex]b(x)[/tex]) by the latter function ([tex]a(x)[/tex]). If we know that [tex]b(x) = \sqrt{x-4}[/tex] and [tex]a(x) = 3\cdot x +1[/tex], then the composite function:
[tex]b\,\circ\,a \,(x) = \sqrt{(3\cdot x+1)-4}[/tex]
[tex]b\,\circ\,a\,(x) = \sqrt{3\cdot x-3}[/tex] (1)
Since the composite function is a square root function, then the domain fulfill the following inequation:
[tex]3\cdot x -3 \ge 0[/tex]
[tex]x \ge 1[/tex]
Hence, the domain of [tex]b\,\circ \,a\,(x)[/tex] is [tex][1, +\infty)[/tex]. [tex]\blacksquare[/tex]
To learn more on functions, we kindly invite to check this verified question: https://brainly.com/question/5245372
Pentagon A'B'C'D' E' is the image of pentagon ABCDE under a dilation with a scale factor of
ID
소
C
What is the length of segment CD?
Answer:
4
Step-by-step explanation:
I took a quiz
After selling half his old games, Sam went and bought 8 new ones. He
now has 30 games. How many did he start with?
Answer: He started with 44
Step-by-step explanation: 44/2=22
22+8= 30
Solve the system of linear equations using multiplication.
−4x + 3y = −9
5x − 2y = 48
The solution is_____
PLEASE SHOW WORK
Answer:
The solution is (18,21)
Step-by-step explanation:
The picture shows the steps.
Hope this helps!!!
The product of 3 and
increased by 5
Answer AND expaination
The product of a number and 3 increased by 5 is 7 less than twice the number which equation can be used to find this number , n?
its -7
the product of a number and 3: 3n
increased by 5: + 5
7 less than: - 7
twice the number: 2n
That gives us the following:
3n + 5 = 2n - 7
You only asked for the equation, not to actually help you solve for n, for note. If you do, just subtract 2n from both sides, and then subtract 5 from both sides.
Upvote
•
0
Downvote
Add comment
Answer:
here i did it i think sorry if im wrong
Step-by-step explanation:
The product of a number and 3 increased by 5 is 7 less than twice the number
The radius of a circle is 3 yards. What is the circle's circumference?
Answer:
18.85
Step-by-step explanation:
2(3.14)(3)
David wants to donate $400 to a charity. He has already saved $125. He earns $9 each day at his after-school job. What is the least number of days that David must work to earn $400?
Answer:
About 31 days
Step-by-step explanation:
Since he already has $125, you can subtract that amount from how much he needs to earn. $400 - $125 = $275 that he must earn.
Divide the remaining amount by how much he earns a day to find the number of days he must work to reach his goal.
$275 ÷ $9 ≈ 30.5 (I got 30.5 repeating). I rounded up to 31 days.
The value of a collectible toy is increasing exponentially. The two points on the graph
show the toy's initial value and its value 3 weeks afterward.
The question is incomplete. Here is the complete question.
Part A
The value of a collectible toy is increasing exponentially. The two points on the graph show the toy's initial value and its value 3 weeks afterward.
Express the toy's value t, in dollars, as a function of time w in weeks after purchase.
Part B
Write an expression to represent the toy's value 10 days after purchase
Answer and Step-by-step explanation: An exponential function is of the form: [tex]y=ab^{x}[/tex]
Part A
Translating to the question, the toy's value as a function of time is
[tex]t=ab^{w}[/tex]
To determine constants a and b, we use points given by graph.
First, (0,5) to find a:
[tex]5=a.b^{0}[/tex]
a = 5
Now, (3,10) to determine b:
[tex]10=5b^{3}[/tex]
[tex]b=\sqrt[3]{2}[/tex]
b = 1.26
The toy's value as a function of time in weeks is [tex]t=5.(1.26)^{w}[/tex]
Part B
Since, the function is in weeks:
1 week = 7 days
w weeks = 10 days
[tex]w = \frac{10}{7}[/tex]
Replacing w:
[tex]t=5.(1.26)^{w}[/tex]
[tex]t=5.(1.26)^{10/7}[/tex]
Expression that represents toy's value after 10 days is [tex]t=5.(1.26)^{10/7}[/tex].
I WILL GIVE BRAINLIEST FOR CORRECT ANSWER. Explain how to use the distributive property to find the product (3) ( 4 1/5 ) .
Answer:
3x4 then you do 3x1/5 because youre distibuting to all numbers in this case multiplecation
Step-by-step explanation:
QUESTION IN THE PHOTO
Answer:
ans is c
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
8. Carter is saving up for a playstation. He has $120 right now, and can save $25 a month. If
the playstation costs $195, how many months must he save?
Answer:
Carter has to save for 3 months.
Step-by-step explanation:
120+25x=195
If you add 25 to 120, 3 times you get 195.
Therefore your answer is 3 months.
Mark brainliest pls and thank you.
8
While at work, Nina checks her email once every 80
minutes. In her 8-hour work shift, how many times
does she check her email?
Answer:
8 i think
Step-by-step explanation:
a package has one face, no edges, and one vertex. what is the object?
Answer:
a cone
Step-by-step explanation:
Answer:
cone
Step-by-step explanation:
Lisa and Marie are both on the track team. During practice, Lisa ran 10 laps around
the track in 18 minutes. Marie ran 8 laps around the track in 14 minutes. Who ran at a
faster rate? If each runner continues at her same pace, how long would it take each
one to run 15 laps?
Answer:
Marie ran at a faster rate. It takes 27 minutes for Lisa to run 15 laps while it takes Marie 26.25 minutes to run 15 laps.
Step-by-step explanation:
18 ÷ 10 = 1.8 (Lisa's rate)
14 ÷ 8 = 1.75 (Marie's rate)
1.8 x 15 = 27 minutes (How long it takes for Lisa to run 15 laps)
1.75 x 15 = 26.25 (How long it takes for Marie to run 15 laps)
A bus traveling from Memphis to Nashville has an average speed of 53 mph. How long will the trip take in hours if the distance between the two cities is 220 miles? ( HOW DID YOU GET YOUR ANSWER PLEASE SHOW YOUR WORK, DO NOT BOTHER ANSWERING IF YOU DO NOT SHOW WORK AND TELL ME HOW YOU GOT YOUR ANSWER!!)
A. 48.14
B. 22.36
C. 192
D. 4.15
E. .50
F. 0
G. .251
H. 1.25
I. -135
Answer:
the answer is 4.15.
Step-by-step explanation:
this is super easy my ffriend. think about it. 53 miles per hour. how many miles do u go in an hour... 53 MILES PER HOUR. so you now know you go 53 miles every hour. so what you then do is see that it is 220 miles to ur destination. in an hour you go 53 miles so you take 220 DIVIDED BY 53 and you get ur answer.
In an isosceles triangle the base angles are both 32 degrees, find the vertex
Answer:
116 deg
Step-by-step explanation:
note that an isoceles triangle always have 2 base angles that are equal.
Here we are already given one base angle of 32 deg. It follows that the other base angle must also be 32 deg.
We now have 2 angles of a triangle and we need to find the remaining one. Also recall that all 3 internal angles of a triangle sum to 180 deg. if we let the missing angle be x, then:
base angle + base angle + vertex angle = 180°
or,
32° + 32° + x° = 180°
64° + x = 180 deg
x = 180 - 64
x = 116 deg
factorise xsquared - 9
Answer:
( x - 3) (x + 3)
Step-by-step explanation:
by factorizing and putting the formula
What is this number in numeric form?
four and two hundred fifty-nine thousandths
Answer:
.4259
or 4.259
Step-by-step explanation:
I D K if the and is a point or just an and.
:) hope this helps
The perimeter of the triangle is 30 cm
The perimeter of the rectangle is also 30 cm.
Use this information to find the area of the square below.
Answer:
square's area is 25.
Step-by-step explanation:
Show instructions
Questions 1-5 of 5 | Page 1 of 1
Question 1 (1 point)
A cab company charges $2 per cab ride, plus an additional $2 per mile driven. If a cab ride is 7 miles long, how
much will it cost?
COPY
SHARE
SELECT ALL
WEB SEARCH
Blank 1:
Question 2 (1 point)
Rachel has already written 3 pages, and she expects to write 2 pages for every additional hour spent writing.
Write an equation that shows the relationship between the hours spent writing h and the total pages written p.
What is the median for the set of data?
6, 7, 10,12,12,13
Please help I’m doing points
3 7/8
Hope this helps! :D
hellpp fast please a
Answer:
C. 3x+30
Step-by-step explanation:
5(2x+6)-7x can be rewritten as
10x+30-7x which can be simplified as
3x+30
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answer:
y = 3x + 74
Step-by-step explanation:
if you have two whole cakes one round and one square are they both the same.
Answer:
depend if one cake is 25 ounces and the other is 23 they are not the same, just bc one is square and one is circle does not mean they came be the same it just depends on the weight or size ig
question 1: Multiply and simplify.
x^2⋅x⋅x^5
(I got x^8 but I was unsure.)
question 2: Multiply and simplify.
(3x+7)8x^2
Answer:
question 1 = x7 and question 2 = 24x^3+56x^2 I'm pretty sure
Identify a chord that is not a diameter of the circle
Answer:
i think it is B
Step-by-step explanation:
Question 7
Laura had 23 ounces of plant food. She wants to use the same amount of plant food each day on her garden. She wants to use all the plant food she has before buying more. Which statement is true?
If she uses plant food in her garden for 6 days, she uses
1
6
ounces of plant food each day
B
2
If she uses plant food in her garden for 10 days, she uses 2
23
ounces of plant food each day
Ounces of plant food each day
С
If she uses plant food in her garden for 8 days, she uses 3
8
8
1
D
If she uses plant food in het garden for 11 days, she uses 2 11 ounces of plant food each day
Answer:
(d) and (e) are true
Step-by-step explanation:
Given
[tex]Food = 23\ oz[/tex]
See attachment for proper presentation of question
Required
Select all true statements
For any option to be true, it must satisfy the following condition.
[tex]Days * Food = 23[/tex]
Option (a):
[tex]Days = 6[/tex]
[tex]Food = 4\frac{1}{6}[/tex] per day
So, we have:
[tex]Days * Food = 6 * 4\frac{1}{6}[/tex]
[tex]Days * Food = 6 * \frac{25}{6}[/tex]
[tex]Days * Food = 25[/tex]
This is not true because: [tex]25 \ne 23[/tex]
Option (b):
[tex]Days = 10[/tex]
[tex]Food = 2\frac{2}{23}[/tex] per day
So, we have:
[tex]Days * Food = 10 * 2\frac{2}{23}[/tex]
[tex]Days * Food = 10 * \frac{48}{23}[/tex]
[tex]Days * Food = \frac{480}{23}[/tex]
[tex]Days * Food = 21[/tex] --- approximated
This is not true because: [tex]21 \ne 23[/tex]
Option (c):
[tex]Days = 8[/tex]
[tex]Food = 3\frac{1}{8}[/tex] per day
So, we have:
[tex]Days * Food = 8 * 3\frac{1}{8}[/tex]
[tex]Days * Food = 8 * \frac{25}{8}[/tex]
[tex]Days * Food = 25[/tex] --- approximated
This is not true because: [tex]25 \ne 23[/tex]
Option (d):
[tex]Days = 11[/tex]
[tex]Food = 2\frac{1}{11}[/tex] per day
So, we have:
[tex]Days * Food = 11 * 2\frac{1}{11}[/tex]
[tex]Days * Food = 11 * \frac{23}{11}[/tex]
[tex]Days * Food = 23[/tex] --- approximated
This is true because: [tex]23 = 23[/tex]
Option (e):
[tex]Days = 7[/tex]
[tex]Food = 3\frac{2}{7}[/tex] per day
So, we have:
[tex]Days * Food = 7 * 3\frac{2}{7}[/tex]
[tex]Days * Food = 7 * \frac{23}{7}[/tex]
[tex]Days * Food = 23[/tex] --- approximated
This is true because: [tex]23 = 23[/tex]
5.2 × _______ = 5.2 whats the answer
Answer:
1
Step-by-step explanation: