9514 1404 393
Answer:
(A) -1
Step-by-step explanation:
I find it easiest to determine the angles x and y, then find the sine of their difference.
x = arccos(1/2) = 60°
y = arcsin(1/2) = 180° -30° = 150° . . . . . . for 2nd-quadrant angle
Then ...
sin(x -y) = sin(60° -150°) = sin(-90°)
sin(x -y) = -1
__
Alternatively, you can find the other trig functions of the angles and use the formula for the sine of a difference.
sin(x) = √(1 -(1/2)²) = (√3)/2
cos(y) = -√(1 -(1/2)²) = -(√3)/2 . . . . 2nd quadrant angle
Then ...
sin(x -y) = sin(x)cos(y) -cos(x)sin(y)
sin(x -y) = (√3)/2·(-√3)/2 -(1/2)·(1/2) = -3/4 -1/4
sin(x -y) = -1
Annie buys some greeting tickets cards. Each card costs $1.75. She pays with with a twenty dollor bill. Let N represent the number of greeting cards annie buys. Write an expression that represents the amount of change annie shall receive.
Answer:
$20 - $1.75N
Step-by-step explanation:
the amount of change she receives is equal to the amount she paid less the total value of cards
total value of cards = price per card x total quantity of cards bought
$1.75 x N = $1.75N
Amount of change = $20 - $1.75N
If she buys 10 cards, the amount of change she receives would be
$20 - $1.75(10) =
20 - 17.5 = 2.5
Math
Help
Will
Give
Brainlist :)
Answer:
$1251.59
Step-by-step explanation:
tax percent = 6.7%
cost price of watch = $113
tax amount = tax percent of total price
=6.7 % * 1173
=6.7/100 *1173
=78.591
Now find total cost of a watch with tax
total cost = tax amount + original cost price
=$78.591 + $1173
=$1251.59
Mark can travel 42 meters in one second. There are 1609.34 meters in 1 mile, how many miles can mark travel in one hour? Round your answer to the nearest hundredth.
Answer:
Mark can travel 93.97 miles in 1 hour
Step-by-step explanation:
Mark's rate of travel is 42 m / sec. We want the same quantity in mi / hr.
Multiply 42 m / sec by the conversion factor
1 mile
----------------
1609.34 m
obtaining the following result in miles / sec:
42 m 1 mile
---------- * ------------------ = 0.0261 mi/sec
sec 1609.34 m
Finanally, multiply the above result by the conversion factor 3600 sec / 1 hr:
(0.0261 mi/sec)(3600 sec / hr) = 93.97 miles
Mark can travel 93.97 miles in 1 hour
Answer:
Step-by-step explanation:
miles = 42 m / sec * 3600 sec / 1 hour * 1 mile / 1609.34 meters
miles = (42 * 3600 * 1 ) / (1 * 1609.34)
miles = 151200 / 1609.34
miles = 93.95
Which number is an irrational number? A. B. C. D.
Given that y = (e^x)/x, x > 0, find the range of values of x where y is a decreasing
function of x.
Answer:
The interval for which y is a decreasing function of x is:
[tex](0, 1)[/tex]
Or as an inequality:
[tex]0<x<1[/tex]
Step-by-step explanation:
We are given the equation:
[tex]\displaystyle y=\frac{e^x}{x}\, ,x>0[/tex]
And we want to find the range of values x for which y is a decreasing function of x.
y is decreasing whenever y' is negative. Find y' using the Quotient Rule:
[tex]\displaystyle y'=\frac{(e^x)'(x)-e^x(x)'}{(x)^2}[/tex]
Differentiate:
[tex]\displaystyle y'=\frac{xe^x-e^x}{x^2}[/tex]
y is decreasing whenever y' is negative. Thus:
[tex]\displaystyle 0>\frac{xe^x-e^x}{x^2}[/tex]
Multiply both sides by x². This is always positive so we do not need to change the sign:
[tex]xe^x-e^x<0[/tex]
Factor:
[tex]e^x(x-1)<0[/tex]
eˣ is always positive. So:
[tex]x-1<0[/tex]
Adding one to both sides produces:
[tex]x<1[/tex]
Therefore, y is a decreasing function of x when x is less than one (and greater than 0).
In interval notation:
[tex](0, 1)[/tex]
Or as an inequality:
[tex]0<x<1[/tex]
the radius of the cylinder is 6 m and the height is 10 m what's the volume?
Evaluate the integral.
Answer:
8/ln(9)
Step-by-step explanation:
Let u=cos(x). Then du=-sin(x) dx.
If x=0, then u=cos(0)=1.
If x=pi/2, then ucos(pi/2)=0.
The intgral is rewriten as
Integrate((9^u (-du) , from u=1 to u=0)
-9^u/ln(9) |u=1..0)
Upperlimit goes in first no matter if it is tinier in value:
(-9^0/ln(9)--9^1/ln(9))
-1/ln(9)+9/ln(9)
8/ln(9)
ABC is dilated by a factor of 5 to produce A'B'C.What is A'C, the length of AC after the dilation?What is the measure of
Answer:
ac/5=a'c
Step-by-step explanation:
Find the values of x,y, and z and the perimeter
Please help me. The question is in the image.
Answer:
10=x
Step-by-step explanation:
Intersecting Chords Formula:(segment piece) x (segment piece) =
(segment piece) x (segment piece)
6*5 = 3*x
30 = 3x
Divide by 3
30/3 = 3x/3
10 =x
Please help with work shown (only if possible)
Answer:
The cylindrical one
Step-by-step explanation:
We know that the container does not have anything inside it, and we only want the surface, so we will figure out the surface area. The less surface area the package has, the less plastic is used.
The surface area for a cylinder is 2πrh +2πr². Plugging 5 in for r (the radius) and 19 in for the height, we get
2π(5)(19) + 2π(5)² = 753.98
The surface area for a rectangular prism is 2(wl + hl +hw), with 10 being the width, 12 being the length, and 19 being the height in this example, resulting in
2(10*12 + 19 * 12 + 10 * 19) = 1076
The surface area for the cylinder will clearly have less surface area/plastic
PLEASE HELPP!! Which points lie in the second quadrant? Check all that apply.
A.Point G
B. Point B
C. Point H
D. Point D
E. Point E
F. Point F
Answer:
Point B and point G
Step-by-step explanation:
the second quadrant is above the x axis and left to y axis
Answer:
point B AND G
Step-by-step explanation:
THAT IS THE CORRECT ANSWER ABOVE
the second quadrant is located at the top left of the XY plane
Which equation is true with 4/-9? Would like help quickly, thanks.
Answer:
2 -9x = 6
Step-by-step explanation:
2 - 9x = 6
-9x = 6-2
-9x = 4
x = 4/-9
Assuming two hikers begin at a trail start, which scenarios must be true based on the table? Check all that apply. Melissa and Corey started on different trails. Melissa hiked up the trail for a longer period of time than Corey. Melissa and Corey crossed paths between 60 and 90 minutes. Corey began his descent before Melissa. As Melissa’s time increased from 0 to 60 minutes, her elevation decreased.
Answer:
1. Melissa and Corey started on different trails.
2. Melissa hiked up the trail for a longer period of time than Corey.
3. Melissa and Corey crossed paths between 60 and 90 minutes.
4. Corey began his descent before Melissa.
Step-by-step explanation:
A. Melissa and Corey started on different trails. - TRUE
Rationale: at the start, when t = 0, Melissa hiking trail elevation was 8,342 ft while that of Corey was 10,004 ft. Therefore, they started on different trails.
B. Melissa hiked up the trail for a longer period of time than Corey. - TRUE
Rationale: It took Melissa 90 mins to reach the highest elevation of 12,921 while it took just 60 mins for Corey to teach same elevation height at 60 mins
C. Melissa and Corey crossed paths between 60 and 90 minutes. - TRUE
Rationale: As Melissa was still ascending between 60 - 90 mins from 11,239 to 12,921, Corey was descending at the same time . So their path crossed.
D. Corey began his descent before Melissa. - TRUE
Rationale: Corey started descending earlier at 60 mins before Melissa
E. As Melissa’s time increased from 0 to 60 minutes, her elevation decreased. - FALSE
Rationale: as Melissa's time increased from 0 to 60 mins, her elevation increased also from 8,342 ft to 11,239 ft.
Answer:
A) Melissa and Corey started on different trails.
B) Melissa hiked up the trail for a longer period of time than Corey.
D) Corey began his descent before Melissa.
Step-by-step explanation:
I got it right on Edge :D
Can anyone help with Qs 22-25 pls !!
Or the ones you can do
Answer:
24 is C and 25 is B , ill try and do the other questions if u need me to explain 24 and 25 lmk!
pls someone quick thx
Answer:
A. y = 1/4x - 2
Step-by-step explanation:
The y- coordinate is placed at -2, on the y-axis
Then the line rises up 1 unit, and runs 4 units, landing on a point and forming the line.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Find the selling price of a $10 item after a 50% markup.
Answer:
$15
Step-by-step explanation:
50% = .50
$10 × .50 = 5
10 + 5 = 15
Question I need to Answer: How many beats can a heart pound in 20 minutes?
Answer:
1300
Step-by-step explanation:
4 times 5 = 20
260 times 5 = 1300
Answer:
1300 times
Step-by-step explanation:
195 is is 3 X 65 so dividing 195 by 3 gets you 65
65 X 20 = 1300
Help!! For this question I got 254.34 as my final answer but when I checked my answer it told me I was wrong?
Answer:
a = 254.5 mm² ( if using accurate value of π)
a = 254.4 mm² (if using 3.14 as approximate value of π)
Step-by-step explanation:
a = πr²
a = π * 9²
a = π * 81
(note using π = 3.1415926536)
a = 254.4690049408
Rounded
a = 254.5 mm²
(a = 254.4 If using π = 3.14)
Need help asap please and thank you
Answer:
(x=4)^2=23; the third one
Step-by-step explanation:
When you solve it using the quadratic formula it's the same as the original answer.
help me with this please
Answer:
Perimeter= 20 cm
Area = 25 cm^2
Difference between 28cm^2 and 8cm^2= 20cm^2
Step-by-step explanation:
The formula to calculate the perimeter of a square is P= 4 * (the length of any side or "s").
Therefore:
P = 4 * 5cm
P = 20 cm
The formula for calculating the area of a square is A= (length of any side or "s")^2
So:
A= 5cm^2
A= 25cm^2
Remember the units in your answer!
The difference between indicates subtraction, and 28cm^2 and 8 cm^2 are like terms so:
28cm^2 - 8 cm^2 = 20 cm^2
x−3+5=12 helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answer:
x = 10
Step-by-step explanation:
x - 3 + 5 = 12
x + 2 = 12
x + 2 - 2 = 12 - 2
x = 10
Answer:
x = 10
Step-by-step explanation:
x−3+5=12
Combine like terms
x +2 = 12
Subtract 2 from each side
x+2-2 = 12-2
x = 10
what does x equal ?
quick answer!!!
Please help me with this question
Answer:
Step-by-step explanation:
74+47=x(sum of two interior opposite angle is equal to the exterior angle formed)
121=x
Which pair of angles represent
Alternate Exterior Angles?
Please helpppp
Answer:
1 and 8, 4 and 5
Step-by-step explanation:
There are two pairs, 1 and 8, 4 and 5
The angles in each pair must be on opposite sides of the transversal k, and on the outsides of the parallel lines l and m.
Solve the equation!! Please help ASAP!!!
PLEASE HELP I NEED ANSWER
Answer:
The area of the figure is 61.24 cm
Step-by-step explanation:
The area for the parallelogram is determined by base x height, so 7 x 6 = 42.
The area of a circle is [tex]\pi[/tex]r², with r being the radius, so that means the circle area is 38.48, but because its a semicircle, its half of that, so the area is 19.24.
42 + 19.24 = 61.24
please answer this !!
Jackson has a bag that contains 5 blue socks, 7 pink socks, and 8 yellow socks.
Jackson removes a single sock from the bag 50 times. Each time he records the color of the sock that is drawn. He replaces the socks into the bag before the next draw.
How many blue socks would be expected to be drawn if 1000 pulls are conducted? 10,000 pulls?
Answer:
for 50 pulls, 12.5 blue socks, but you cant have half of a sock so we say 12
for 1000 pulls, 250 blue socks
for 10,000 pulls, 2500 blue socks
Step-by-step explanation:
First we add 5, 7 and 8 to find the total number of socks, 5+7=12 and 12+8 = 20
5 is the amount of blue socks, so
5/20 * how many pulls are conducted is the probability for blue socks
7 is the amount of pink socks, so
7/20 * how many pulls are conducted is the probability for pink socks
and
8 is the amount of yellow socks, so
8/20 * how many pulls are conducted is the probability for yellow socks
What is the volume of a cylinder in cubic ft with a height of 14ft and a base diameter of 12ft round to the nearest tenth
Answer: volume of the cylinder = 1583.36 ft3
Step-by-step explanation: where volume of a cylinder = π h
where h = 14 ft
diameter 12 ft, so radius = 12 / 2 = 6 ft
therefore volume = π * * 14 = 1583.362697 to the nearest tenths place will be 1583.36
hihi , please help if able.
Answer:
The correct answer is Choice C.
Step-by-step explanation:
When figuring out the perimeter, we need to count the number of sides. There are 8 sides in total. 5 sides have length labeled 'x' . 2 sides have the length labeled 'y' . Only 1 side has the length labeled 'z' .
In order to put that into an expression, just add the sides up.
5 sides of z + 2 sides of y + 1 side of z
Therefore, the expression that represents the perimeter of the figure is 5x + 2y + z.