If “the notation arcsin x represents the inverse function to sine” is true when the sine function is to the interval [ -pi/2, pi/2 ].
What is the sin function?The sine function is one of the three primary functions in trigonometry, the others being cosine, and tan functions.
The confusion is compounded by the fact that we use the notation sin⁻¹(x) interchangeably with arcsin(x), and we call it the inverse sine.
Here is a counterexample disproving your given statement:
Let x = π.
The value π is in the domain of sin(x).
arcsin[sin(π)] = arcsin(0) = 0
arcsin[sin(π)] ≠ π
Therefore arcsin(x) is not the inverse of sin(x).
If you restrict the sine function to the interval [ -pi/2, pi/2 ]. Otherwise, arcsin will not be a function.
Hence, If “the notation arcsin x represents the inverse function to sine” is true when the sine function is to the interval [ -pi/2, pi/2 ].
Learn more about sin function here;
https://brainly.com/question/14397255
#SPJ2
8. What is the solution to 4(1/2x+7)=12?
Answer:
x=-8
Step-by-step explanation:
4(1/2x+7)=12
Divide each side by 4
4/4(1/2x+7)=12/4
(1/2x+7)=3
Subtract 7 from each side
1/2x+7-7=3-7
1/2x = -4
Multiply each side by 2
1/2x*2 = -4*2
x = -8
Answer:
-8
Step-by-step explanation:
Divide both sides by 4 which will give you 1/2x+7=3
Then multipy both sides by 2 which will then give you x+14=16
Then move the constant = x=6-14
6-14 is -8 which will give you x=-8
Identify a transformation of the function f(x) = (x by observing the equation
of the function g(x) = VX- 19.
Answer:
1st option
Step-by-step explanation:
Given f(x) then f(x) + c is a vertical translation of f(x)
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
Here g(x) = [tex]\sqrt{x}[/tex] - 19
The base graph f(x) has been shifted down 19 units
What are the steps involved in multiplying/ dividing rational expressions??
Answer:
Multiplication:
Step 1: Factor both the numerator and the denominator.
Step 2: Write as one fraction. Write it as a product of the factors of the numerators over the product of the factors of the denominators. DO NOT multiply anything out at this point.
Step 3: Simplify the rational expression.
Step 4: Multiply any remaining factors in the numerator and/or denominator.
Division:
Step 1: Completely factor both the numerators and denominators of all fractions.
Step 2: Change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal.
Step 3: Cancel or reduce the fractions. Remember that to reduce fractions; you can cancel something in the numerator with something in the denominator, but in order to cancel something in the numerator and denominator the two factors must be EXACTLY the same.
Step 4: Rewrite the remaining factor. Notice that you do NOT need to actually multiply anything in the numerator or denominator.
96 Children are on a school trip, there
are 7 seats in a mini bus. How many
mini bus are needed?
Help fast pleaseeeeeeee
Step-by-step explanation:
-2. = [tex] \frac{1}{49} [/tex]-1 = [tex] \frac{1}{7} [/tex]0 = 11. = 72. = 49I need help I need help
Answer:
[tex]{ \boxed{ \bf{c}}} \: \: \frac{3.8}{4} = s[/tex]
Step-by-step explanation:
[tex]{ \tt{4 \: pies \: = \: 3.8 \: ounces}} \\ { \tt{1 \: pie \: = \: ( \frac{1}{4} \times 3.8) \: ounces}} \\ { \tt{ = 0.95 \: ounces}}[/tex]
[tex]{ \underline{ \sf{ \blue{christ \: † \: alone}}}}[/tex]
Find the measure of each angle indicated.
A) 25°
C) 35°
B) 45°
D) 40°
Answer:
here's the answer to your question
Answer:
D) 40
Step-by-step explanation:
To solve the question you can use the knowledge that every triangle has a total of 180 degrees. Two of the angles are known one is 50 and the other is 90. We know one is 90 because of the square around the angle. Then, you can set up an algebraic equation to solve. We know that 50+90+x=180, so solve for x for the final answer of 40.
What is the most direct use of a compass in geometric constructions?
A.
to draw congruent angles
B.
to draw arcs of a given size
C.
to draw perpendicular lines
D.
to draw straight lines
Answer:
B
Step-by-step explanation:
to draw arcs of a given size
Answer:
B. to draw arcs of a given size.
Step-by-step explanation:
its correct on plato :)
Which graph represents an odd function?
Answer:
the second one (the one on the bottom)
Step-by-step explanation:
An odd function is where f(x) = -f(x), and therefore is unchanged when rotated 180 degrees about the origin. This results in the bottom graph.
How many sides does a regular polygon with 45° exterior angles have?
Numerical answer only.
Answer:
8 sides (octagon)
Step-by-step explanation:
sum of exterior angles is always 360º
360 / 45 = 8 sides
Answer:
8 sides
Step-by-step explanation:
If all the angles of the polygon are the same, divide the angle by 360 and u get the answer.
Sixteen blocks are needed to build a four-step double staircase like
the one on the right. How many blocks will be needed to build a
double staircase of similar shape with 50 steps?
Snacks:
Brian scored 120 on his test the first time he took the test. The second time he took the test,
he scored 150. By what percentage did Brian increase his score?
a. 20%
b. 25%
c. 80%
d. 125%
Answer:
b. 25%
Step-by-step explanation:
(new - old)/ old * 100%
150 - 120 = 30 ... 30/120 = .25 * 100% = 25%
Answer:
25% increase
Step-by-step explanation:
Take the new amount and subtract the original amount
150-120
30
Divide this by the original amount
30/120
1/4
.25
Multiply by 100%
25%
Lilian is building a swimming pool in the shape of a right rectangular prism. The area of the base of the swimming pool is 72 square meters. The depth of the swimming pool is 3 meters. What is the volume of the swimming pool?
Answer:
its easy as making a cake
Step-by-step explanation:
always remember that
volume of a rectangular prism = area of the base x depth
AND
volume = 72
depth. = 3
it means we have to multiply 72 with 3
so we get
72 x 3 = 216
it means that the volume of the swimming pool is 216.
hope it helps you
have a nice day dear
Can the sides of a triangle have lengths of 42, 45, and 13? If so, what kind of triangle is it?
Answer:
obtuse
Step-by-step explanation:
45^2 = 2025
42^2 = 1764
13^2 = 169
169+1764=1933
2025 > 1933
therefore it is an obtuse triangle
If LM = x + 3, MN = 2x and LN = 24, what does x equal
Answer:
[tex]\displaystyle 7 = x[/tex]
Step-by-step explanation:
[tex]\displaystyle 24 = [3 + x] + 2x → 24 = 3 + 3x → \frac{21}{3} = \frac{3x}{3} \\ \\ 7 = x[/tex]
I am joyous to assist you at any time.
How would I answer this: How many minutes are in a 30-day month.... use vertical multiplication to get the right answer
Answer:
43,200 minutes in 1months or 30 days
There are 43200 minutes in one month.
What is multiplication?The basic explanation of multiplication is adding a number, with respect to another number, repeatedly.
Given that, How many minutes are in a 30-day month,
We have, 60 minutes in 1 hour
And, 24 hours in 1 day,
Then, number of minutes in 1 day = 60 × 24 = 1440 minutes
Therefore, in 1 month = 1440 × 30 = 43200 minutes
Hence, there are 43200 minutes in one month.
Learn more about multiplication, click;
https://brainly.com/question/5992872
#SPJ2
Full working out for this question please.
Answer:
d 28.8cm2
Step-by-step explanation:
1/2BH
1/2() 12.8() 4.5
28.8
PLEASE HELP ME ANSWER THESE !!!
1 There are 63 students marching in a band, and they’re marching in 7 rows. How many students are in each row?
2 A candy factory made 54 boxes of chocolates. Each box weighs 2 pounds. They packed the boxes in 6 cases with the same number of boxes in each case. How many pounds of chocolates were there in each case?
3 Max bought tools costing $75. He made a $30 down payment and plans to pay off the rest of the money in 5 monthly installments. How much will Max’s monthly payments be?
4 Harry has decided to give his collection of 24 old coins to his four grandsons. John, the oldest, gets half the collection. Walt, Matt, and Richie will divide the remaining coins evenly among themselves. How many coins will each boy receive?
5 Mr. and Mrs. Pierotti are remodeling their kitchen. They need 9 square yards of covering for the floor. Jackson Interiors quoted them a price of $81 for 9 square yards of linoleum. Carpet Master told them that carpeting would cost $6 per square yard. Which is cheaper—the linoleum or the carpeting
Answer:
1)9 2)18 3)9. 4)4. 5)carpeting
Step-by-step explanation:
1) divide 63 by 7 = 9
2)multiply 54 by 2 = 108 total weight of the boxes then divide 108 by 6 to get 18
3) 75 -30 to get remaining amount which is 45 then divide by 5 to get how much he will pay each month which is 9
4 24- 12= 12 the remaining for the 3 and divide by 3 to get 4
5) multiply 6 * 9 which is $54 which is cheaper than the $81
Geometry, please answer my question ASAP
Answer:
98 degrees
Step-by-step explanation:
The angles of a quadrilateral add up to 360 degrees, therefore:
(25x+1)+(25x-2)+(20x-1)+82=360
70x +80=360
70x=280
x=4
the angle at C:
25*4-2 = 98 degrees
A 3cm x 2cm rectangle sits inside a circle with a radius of 4cm
What is the area of the shaded region
round your final answer to the nearest hundredth
The area of the shaded region is 44.24\ cm^{2}44.24 cm2
Step-by-step explanation:
we know that
The area of the shaded region is equal to the area of the circle minus the area of rectangle
step 1
Find the area of circle
The area of the circle is equal to
A=\pi r^{2}A=πr2
we have
r=4\ cmr=4 cm
substitute
A=\pi (4)^{2}A=π(4)2
A=16\pi\ cm^{2}A=16π cm2
step 2
Find the area of rectangle
The area of rectangle is equal to
A=(3)(2)=6\ cm^{2}A=(3)(2)=6 cm2
step 3
Find the difference
16\pi\ cm^{2}-6\ cm^{2}16π cm2−6 cm2
assume
\pi=3.14π=3.14
16(3.14)\ cm^{2}-6\ cm^{2}=44.24\ cm^{2}16(3.14) cm2−6 cm2=44.24 cm2
(4m2-3). 12,13
What is the simplified form of
Find the value of x.
Answer:
x=8
Step-by-step explanation:
(3x-8)/1=4x/2. 3x-8=2x, x=8
Antonia and Aleena both bought a book that cost £3.50 each. How much change did they get from £10.00?
£6.50
£2.00
£3.00
Answer:
They got 3.00 back
Step-by-step explanation:
Since they both bought a book it means you have to double the price of one book.
3.50+3.50=7.00
Then since you are looking for the difference of 10.00 you would subtract it.
10.00-7.00=3.00
what are examples of like terms
Answer:
7x and 2x. 3x^2 and -7x^2.
Step-by-step explanation:
7x and 2x both have x. 3x^2 and -7x^2 both have x^2.
What is the net pay for 40 hours worked at $8.95 an hour with deductions for Federal tax of $35.24, Social Security of $24.82, and other deductions of $21.33?
$276.61
$326.25
$358.00
$368.91
Answer:
A
Step-by-step explanation:
Total money earned=40*8.95=358
Total money earned after deductions=358-(35.24+24.82+21.33)=276.61
Write 0.0406 in scientific notation.
Answer:
4.06×10^-2
hope that helps uh..☺
Answer:
Ans; 0.0406 = 4.06 ×10–²
A car travelled 252 km in 3 hours and 15 minutes. The average speed of the car was (to the
nearest whole number)
A. 77 km/h
B. 78 km/h
C.
80 km/h
D. 84 km/h
Answer:
76.92 km/h
=
77 km/h
Answer From Gauth Math
Write down at least five number pairs to solve the equation vw = 50
Answer:
1, 50
2, 25
5, 10
10, 5
25, 2
Answer:
Step-by-step explanation:
V W
1 x 50 = 50
1.5 x 33 1/3 = 50
2 x 25 = 50
2.5 x 20 = 50
3 x 16 2/3 = 50
3.5 x 14 2/7 = 50
4 x 12 1/2 = 50
4.5 x 11 1/9 = 50
5 x 10 = 50
5.5 x 9 = 50
6 x 8 1/3 = 50
6.5 x 7 2/3 = 50
7 x 7 1/7 = 50
7.5 x 6 2/3 = 50
8 x 6 1/4 = 50
8.5 x 5 8/9 = 50
9 x 5 5/9 = 50
9.5 x 5 1/4 = 50
10 x 5 = 50
10.5 x 4 3/4 = 50
11 x 4 5/9 = 50
11.5 x 4 1/3 = 50
12 x 4 1/6 = 50
12.5 x 4 = 50
13 x 3 6/7 = 50
13.5 x 3 5/7 = 50
14 x 3 4/7 = 50
solve the triangle. Round decimal places to the nearest place
3 different problems.
solve b - 4 = 3.
solve -32 = 8w
solve n
— = -4
7
Answer:
see below
Step-by-step explanation:
b - 4 = 3
Add 4 to each side
b - 4+4 = 3+4
b = 7
-32 = 8w
Divide by 8
-32/8 = 8w/8
-4 = w
n/7 = -4
Multiply by 7 to each side
n/7 *7 = -4*7
n = -28