The value of sin-1(1) is negative startfraction pi over 2 endfraction, startfraction -pi over 2 endfraction.
What is the value of sin (π/2)?The value of sin (π/2) is equal to the number 1. The value of the sin-1(1) has to be find out.
Suppose the value of this function is x. Thus,
[tex]x=\sin^{-1}(1)[/tex]
Solve it further,
[tex]\sin(x)=(1)[/tex] ......1
The value of sin (π/2) and -sin (-π/2) is equal to 1 such that,
[tex]\sin\dfrac{\pi}{2}=-\sin\left(-\dfrac{\pi}{2}\right)=1[/tex]
Put this value in the equation 1,
[tex]\sin(x)=\sin\left(\dfrac{\pi}{2}\right)=-\sin\left(-\dfrac{\pi}{2}\right)[/tex]
Thus, the range will be,
[tex]\left(\dfrac{\pi}{2},-\dfrac{\pi}{2}\right)[/tex]
Thus, the value of sin-1(1) is negative startfraction pi over 2 endfraction, startfraction -pi over 2 endfraction.
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Answer: C
Step-by-step explanation:
edge
Felipe just started collecting stamps. he has 36 stamps so far. His uncle Caro has 1,890 stamps in his collection. The number of stamps Carlos has is how many times the number Felipe has?
Answer:
52.5
Step-by-step explanation:
just divide bro it ain't that hard
Solve for s.
s ÷ 15 = 0.88
Multiply both sides by 15.
s = 0.88 * 15 = 13.2 (use calculator)
Answer:
13.2
Step-by-step explanation:
just multipply 15 by 0.88 to get 13.2
Point A and point B form a line segment that is 12 units long. Point A is located at (5,-4) where might point b be located
Point B will be located at the perimeter of the circle with a center of (5, -4) and a radius of 12.
What are coordinates?A point or shape on a two-dimensional plane is located using a pair of integers called coordinates. A point's position on a 2D plane is indicated by two integers called the x- and y-coordinates.
Assuming that a line segment with a length of 12 units is formed by points A and B.
In addition, Point A is situated at (5,-4)
A circle's radius is the distance along a line segment from the center to any point on the circle. All radii on a circle have the same length by definition.
Point B will be situated at the edge of the circle, which has a radius of 12 and a center of (5, -4).
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Amir subtracted a quantity from the polynomial 3x2+8x−16 and produced the expression x2−4. What quantity did Amir subtract? Explain how you got your answer. To get you started:
3x2+8x−16 minus [SOMETHING] = x2−4
What is the [SOMETHING]??
The polynomial that Amir subtracted from 3x² + 8x - 16 to get x² - 4 is: 2x² + 8x - 12.
How do you Subtract Polynomials?To subtract polynomials from each other, take like terms together and subtract.
To find out what quantity Amir subtracted from 3x² + 8x - 16 to get x² - 4, do the following:
(3x² + 8x - 16) - (x² - 4)
Open bracket
3x² + 8x - 16 - x² + 4
Combine like terms
2x² + 8x - 12
Therefore, the polynomial that Amir subtracted from 3x² + 8x - 16 to get x² - 4 is: 2x² + 8x - 12.
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Find in the inverse algebraically y=2(x-3)3+1
Answer:
Step-by-step explanation:
Y=(X-3) 3+1
1. Flip the way the equation is facing
1+3 (3-x)=Y
2. Add or Subtract
4 (3-x)=Y
3. Do the parentheses
4(-3x)=Y
4. Solve for X ( Undo addition or Subtraction)
(4-4)=0
What ever you do to one side you have to do to the other!
Y-4
Your New Equation Looks Like
-3x= -4 + Y
5. Undo Multiplication
-3x/3= x
What ever you do to one side you have to do to the other!
-4/3 y/3
6. Divide Y
y/3= 3
7. New equation
X= -4/3 + 3
8. Plug in X to the Original Equation
Y=2(-4/3+3) -3 +(3+1)
9. Solve accordingly
Luis is going to roll a six-sided die. What is the probability that the die lands on the number 4? Input your answer in fraction form.
Answer:
1/6
Step-by-step explanation:
Given;
Luis is going to roll a six-sided die. What is the probability that the die lands on the number 4?
Solve:
Six-sided die = 6
There are only one 4 in the six-sided die.
Hence, fraction = [tex]\frac{1}{6}[/tex]
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PLEASE HELPPP
find the value of x
Answer:
x = 62°
Step-by-step explanation:
Concepts:
All angles in a triangle add up to 180°, and there are three angles in a triangle. In this case, we're given the three angles as 50°, 68°, and x°. This means that x + 50 + 68 = 180.Solving
Step 1: Combine like terms.
[tex](x)+(50+68)=180[/tex] [tex]x+118=180[/tex]Step 2: Subtract 118 from both sides.
[tex]x+118-118=180-118[/tex][tex]x=62[/tex]Step 3: Check if solution is correct.
[tex]62+50+68=180[/tex][tex]112+68=180[/tex] [tex]180=180[/tex]Therefore, the answer is x = 62°.
a circle is placed in a square with a side length of 6yd, as shown below. Find the area of the shaded region. Use the value 3.14 for (), and do not round your answer.
Answer:
7.74 yd²
Step-by-step explanation:
Area (shaded) = Area (square) - Area (circle)Area (shaded) = 6 x 6 - 3.14 x 3 x 3 [ Note : radius of circle = 1/2 of the side of the square]Area (shaded) = 36 - 28.26Area (shaded) = 7.74 yd²Answer:
7.74 yd²
Step-by-step explanation:
The shaded area can be calculated by subtracting the area of the circle from the area of the square.
Given:
side length of square = 6 ydradius of circle = half of side length = 3 ydπ = 3.14Area of the square = side length × side length
= 6 × 6
= 36 yd²
Area of the circle = πr²
= 3.14 × 3²
= 28.26 yd²
Shaded area = area of square - area of circle
= 36 - 28.26
= 7.74 yd²
Sofia buys 3.8 pounds of potatoes for $0.85 per pound. Flynn buys 4.2 pounds of potatoes for $0.75 per pound.
How much more does Sofia spend than Flynn?
Answer:
Step-by-step explanation:
A. $0.08
Step-by-step explanation:
I would find out the total price of potatoes for each person:
Sofia: $0.85 x 3.8lb = $3.23
Flynn: $0.75 x 4.2lb = $3.15
To get the final answer, I would subtract to find the difference between the two prices.
$3.23 - $3.15 = $0.08
You buy 10 pounds of bird seed at store A for $11.50.Your friend buys 15 pounds of bird seed at Store B for $19.50.How much less would u sped by buying 20 pounds of bird seed at the store with the better deal?
Answer:
$3
Step-by-step explanation:
You buy 10 pounds of bird seed at store A for $11.50 which means every pound is $1.15.
15 pounds of bird seeds store B for $19.50 is $1.30 per pound.
At store A = 20 * $1.15 = $23
At store B = 20 * $1.30 = $26
So, 26 - 23 = 3
Answer:
You would spend $3 less by buying 20 pounds of bird seeds at the store with the better deal.
Step-by-step explanation:
Given:
You can buy 10 pounds of birdseed at Store A for $11.50
10 pounds – $11.50
[tex]\mathrm{\dfrac{ \$11.50 }{ 10\:pounds }}=\mathrm{\dfrac{ \$1.50 }{ 1\:pound }}[/tex]
1 pound – $1.15
To find the value for 20 pounds, we do:
20 pounds = 20 × 1.15 = $23
20 pounds = $23
Your friend buys 15 pounds of birdseed at Store B for $19.50
15 pounds – $19.50
[tex]\mathrm{\dfrac{ \$19.50 }{ 15\:pounds }}=\mathrm{\dfrac{ \$1.3 }{ 1\:pound }}[/tex]
1 pound – $1.3
To find the value for 20 pounds, we do:
20 pounds = 20 × 1.3 = $26
20 pounds = $26
Now we compare each stores value for 20 pounds of bird seeds:
$23 < $26
The store with the better deal is: Store A
So, you would spend $3 less by buying 20 pounds of bird seeds at the store with the better deal.
ACTIVITY 1: LET'S PRACTICE!
Directions: Write Yes, if the two triangles are congruent and No if not. State the
postulate to justify your answer.
Pa help po please
Answer:
1. YES
1. YES2. YES
1. YES2. YES3.YES
4.NO
Hope it helps
Evaluate the expression 10^x-3 for x = 2.
Answer:
1/10 or 0.1
Step-by-step explanation:
10^x-3
10^2-3
10^-1
1/10 or 0.1
Find the area of the circle.
Use 3.14 for n. Do not round your answer.
Hint: A = tr2
2
=
11 in.) Area = [?] inches?
Answer:
379.94
Step-by-step explanation:
A = πr²
A = 3.14(11 in.)²
A = 3.14(121 in²)
A = 379.94 in.²
Complete the table below. Show all your work.
in the expansion of ( x^3 - 2/x^2 ) ^10 , find the coefficient of 1/x^5
Answer:
240
Step-by-step explanation:
We need to find the coeffeicent of the binomial expansion of
[tex]( {x}^{3} - 2 {x}^{ - 2} ) {}^{10} [/tex]
Note that
[tex] - 2 {x}^{ - 2} = - \frac{2}{ {x}^{2} } [/tex]
The binomial theorem states that
[tex](x + y) {}^{n} = x {}^{n} y {}^{0} + \binom{n}{1} x {}^{n - 1} y + \binom{n}{2} x {}^{n - 2} y {}^{2} ....... + x {}^{0} y {}^{n} ( \binom{n}{n} )[/tex]
Using this, we let expand our series
[tex]( {x}^{3} - 2 {x}^{ - 2} ) {}^{10} = x {}^{30} + \binom{10}{1} ( {x}^{27} 2 {x}^{ - 2} ) + \binom{10}{2} {x}^{24} 2x {}^{ - 4} + \binom{10}{3} {x}^{21} 2x {}^{ - 6} + \binom{10}{4} {x}^{18} 2x { }^{ - 8} + \binom{10}{5} x {}^{15} 2x {}^{ - 10} + \binom{10}{6} x {}^{12}2 x {}^{ - 12} + \binom{10}{7} x {}^{ 9} 2x {}^{ - 14} + \binom{10}{8} x {}^{ 6} 2x {}^{ - 16} + \binom{10}{9} ( {x}^{3} )2x {}^{ - 18} + 2x {}^{ - 20} [/tex]
[tex] \frac{1}{ {x}^{5} } = x {}^{ - 5} [/tex]
So what term in the series eqaul x^-5.
That term is the 10 choose 7 term.
[tex] \binom{10}{7} {x}^{9} 2x {}^{ - 14} [/tex]
Because
[tex] = \binom{10}{7} 2x {}^{ - 14} {x}^{9} = \binom{10}{7} 2 {x}^{ - 5} [/tex]
So we need to compute 10 choose 7.
That equals
10!/3!(7!)= 10×9×8/6= 720/6=120.
So we get
[tex]120(2) {x}^{ - 5} [/tex]
[tex]240 {x}^{ - 5} [/tex]
So the coeffceint u
is 240
What is the length of the hypotenuse? 5 and 4in
Answer:
1 foot
Step-by-step explanation:
you multiply 5 1/4 inches by two, you would get 10 1/2 inches. if 2 inches equals 1 foot then 5 inches would equal 10 inches and 1/4 would equal 1/2. If you put those numbers together, you get 10 1/2 inches. Therefore the answer is 2 inches = 1 foot.
Please help with angle addition
Taylor's family took a road trip to Mount Rushmore. Taylor slept through the last 21% of the trip. If Taylor fell asleep after they had travelled 711 miles, what was the total length of the trip?
The total length of the trip is the number of miles in the trip
The total length of the trip is 974 miles
How to determine the total length?The given parameters are:
Proportion of sleep = 21%Distance awake = 711 milesIf Taylor sleeps for 21% of the trip, then Taylor was awake for 79% of the trip
Represent the total length of the trip with T.
So, we have:
73% * T = 711 miles
Divide both sides by 73%
T = 974 miles
Hence, the total length of the trip is 974 miles
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Line c passes through points (9, 9) and (3, 2). Line d is parallel to line c. What is the slope of line d?
Step-by-step explanation:
we have to find gradient.formula for gradient:[tex] \frac{y2 - y1}{x2 - x1} [/tex]x1 = 9y1 = 9x2= 3y2= 28.
[tex] \frac{9 - 2}{3 - 9} [/tex]
[tex] \frac{7}{ - 6} [/tex]
= -7/6
The radius of a circle is 14 feet. What is the area of the circle?
87.92 ft 2
615.44 ft 2
153.86 ft 2
1,230.44 ft 2
Answer:
615.44 ft 2
Step-by-step explanation:
radius times radius times 3.14(pie)
Answer:
Area of circle = pie r²
22/7×14²
616,,
According to me
Question 9 of 10
Find the solutions to x2 = 18.
O A. x= +3,12
O B. x= +2,/3
X
O C. X = +36
O D. x = +63
Х
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: {x}^{2} = 18[/tex]
[tex]\qquad \sf \dashrightarrow \: {x}^{} = \sqrt{ 18}[/tex]
[tex]\qquad \sf \dashrightarrow \:x = \sqrt{2 \times {3}^{2} } [/tex]
[tex]\qquad \sf \dashrightarrow \:x = 3 \sqrt{2} [/tex]
Therefore, the correct choice will be A
I got this question wrong and I need help.
Answer:
the answer is A. 2
Step-by-step explanation:
4x+2 has to be half of 2x+16
then 4x+2=10 and 2x+16=20 therefore it is correct
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Which expression shows how to find the quotient of 4.8÷2?
A. (4÷2)+(0.8÷2)
B.(4÷2)+(0.08÷2)
C. (0.4÷2)+(8÷2)
D. (0.04÷2)+(0.8÷2)
*I will mark you brainliest answer if you answer with a step by step explanation+ your answer:)*
Answer:
[A] (4 ÷ 2)+(0.8 ÷ 2)
Step-by-step explanation:
Divide the 2 into each digit, which must be in the same spot it was before:
Knowing that 8 in 4.8 ⇒ 0.8
Thus, you can infer that [B] is wrong
You also infer that [D] and [C] is wrong because 4 is a whole number.
Thus, that left us with [A] 4 ÷ 2+0.8 ÷ 2 which shows the quotient of 4.8 ÷ 2
Hence, [A] 4 ÷ 2+0.8 ÷ 2 is the answer.
~Learn with Lenvy~
Answer:
Option A
Simplification:
[tex]\rightarrow (4 + 0.8) \div 2\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\text{4.8 can also be written as 4 + 0.8}][/tex]
[tex]\rightarrow \dfrac{(4 + 0.8)}{2} = \dfrac{4 + 0.8}{2}[/tex]
[tex]\rightarrow \dfrac{4}{2} + \dfrac{0.8}{2}[/tex]
[tex]\rightarrow (4 \div 2) + (0.8 \div 2) \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \text{\large{[Option A}}][/tex]
jeff is 1.67 meters tall how many centimeters tall is jeff
Answer:
167
Step-by-step explanation:
What is the measure of the missing angle?
Answer:
140°
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PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP
Answer:
top:32
bottom:73.5
Step-by-step explanation:
no need to rate or give brainlyest just wanted to help
Tom had 90 cookies and sold 60% of them.scott had 150 cookies and sold 2/3 of them.dawn sold 46 cookies.what percentage of the cookies sold were sold by dawn?
Answer:
Step-by-step explanation:
Tom: 90 cookies total 60% were sold
Tom: 90 * 60/100 = 54 cookies
Scott: 150 cookies and 2/3 were sold
Scott: 150 * 2/3 = 300/3 = 100
Dawn: sold 46 cookies
Total Sold = 46 + 100 + 54
Total Sold = 200
Answer
Dawn: % = (46 / 200) * 100 = 23%
Find the angle measurements and side lengths for the triangle below
Capital letters are angels , lower case letters are sides
A=
B=
C=
a=
b=
c=
Answer:
Step-by-step explanation:
Sin(A) = 5/7
Sin(A) = 0.7143
A = sin-1(0.7143
A = 45.58
B = 180 - 45.58 - 90
B = 44.43
C = 90
c = 7
a = 5
b^2 = c^2 - a^2
b^2 = 7^2 - 5^2
b^2 = 49 - 25
b^2 = 24
b = 4.899
Consider the enlargement of the pentagon. A small pentagon has a bottom side length of x centimeters and left side length of 7 centimeters. A larger pentagon has a bottom side length of 7 centimeters and left side length of 15 centimeters. Not drawn to scale What is the value of x, rounded to the nearest tenth? 2. 1 centimeters 3. 3 centimeters 7. 0 centimeters 15. 0 centimeters.
When the pentagon is drawn to scale then its value of x will be x=3.3 cm
What is the pentagon?The pentagon is defined as the shape having five sides connected together.
Now it is given in the question that
For small pentagone
Bottom =x
left =7 cm
For larger pentagone
Bottom=7cm
left=15cm
Now since the pentagon is actually dilated from its size to the new bigger size. It means that the equivalent ratio of both the pentagons will be equal.
For smaller pentagon
[tex]\rm Equivalent \ Ratio = \dfrac{Bottom}{Left} =\dfrac{x}{7}[/tex]
For bigger pentagon
[tex]\rm Equivalent \ Ratio = \dfrac{Bottom}{Left} =\dfrac{7}{15}[/tex]
Since both, the ratio is the same
[tex]\dfrac{x}{7} =\dfrac{7}{15}[/tex]
[tex]x=\dfrac{49}{15} =3.3\ cm[/tex]
Thus the pentagon is drawn to scale than its value of x will be x=3.3 cm
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A customer in Maine orders a Dog Treat Bundle for $34.80. The sales tax in Maine is 5.5%. How much sales tax is collected on the order?
Answer/Step-by-step explanation:
GIven;
A customer in Maine orders a Dog Treat Bundle for $34.80.
The sales tax in Maine is 5.5%.
To Find;
How much sales tax is collected on the order?
Solve;
$34.80 * 5.5% = 1.914
Round: 1.914 = 1.91 [Sales tax added]
$34.80 + 1.91 = 32.89 [Total]
Hence, $1.91 sales tax is added and $32.89 is the total (include sales tax)
~Learn with lenvy~