Answer:
19600 trios may be formed.
Step-by-step explanation:
Since the order of the trios do not matter, we use the combinations formula to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this question:
Groups of three(Trios) from a set of 50. So
[tex]C_{50,3} = \frac{50!}{3!(50-3)!} = 19600[/tex]
19600 trios may be formed.
There are 3 feet in 1 yard. Find the number of feet in 15 yards
Answer:
45 feet
Step-by-step explanation:
15 times 3 =45
Answer: 45 ‘
Step-by-step explanation:
Need help with trig!!
Answer:
a) sin x
b) cos² x
c) sin²x
Step-by-step explanation:
Step(i):-
Given that the trigonometric equation
[tex]tan(\frac{x}{2} ) + cos x tan (\frac{x}{2} ) = sin x[/tex]
we have to use trigonometric formulas
[tex]1-cosx = 2sin^{2} (\frac{x}{2} )[/tex]
[tex]sin x = 2 sin \frac{x}{2} cos\frac{x}{2}[/tex]
now
[tex]tan\frac{x}{2} = \frac{sin\frac{x}{2} }{cos\frac{x}{2} }[/tex]
= [tex]\frac{2sin(\frac{x}{2} ) sin\frac{x}{2} )}{2sin\frac{x}{2} cos\frac{x}{2} }[/tex]
= [tex]\frac{2sin^{2} (\frac{x}{2} ) )}{sinx }[/tex]
= [tex]\frac{1-cosx}{sinx}[/tex]
Step(ii):-
[tex]tan(\frac{x}{2} ) + cos x tan (\frac{x}{2} ) = \frac{1-cosx}{sinx} +cosx \frac{1-cosx}{sinx}[/tex]
= [tex]\frac{1-cosx +cosx(1-cosx)}{sinx}[/tex]
= [tex]\frac{1-cosx+cosx-cos^{2} x}{sinx}[/tex]
= [tex]\frac{1-cos^{2} x}{sinx}[/tex]
= [tex]\frac{sin^{2}x }{sinx}[/tex]
= sinx
Rewrite using the distributive property: 24 + 16 .
Simplify (10j+5k)+6j. What 2 properties did you use to to simplify the expression?
Answer:
16j+5k
Associative property
Communitive Property (I think)
Step-by-step explanation:
(10j+5k)+6j =
(10j+6j)+5k =
16j+5k
Pls help help Im crying and i need help please im nevous please help me
Answer:
Look in step by step
Step-by-step explanation:
The way to read coordinates is to know these steps.
(#,#)
the first number is the x number which on the graph is the horizontal line and the second number is the y number which on the graph is vertical.
Theres also negatives which is the same thing but its on the lower side of the graph.
So now for example you take -4,-9.
To make it easy move the dot to the center or the (0,0) cords. Then follow the numbers. When you start on the zero cord you will look at the numbers, it says -4 so drag the dot 4 units to the left where the line says -4. Then drag it down 9 units so its on the cords. Hope this helps!!
Answer:
Ok so for (0,8 1/2), drag the dot from the middle, up to 8 but then move up a little bit more so it is between the 8 and 9. Next, for (-4, -9) drag one of the other dots to the -4 on the horizontal line, but then move it down to the -9 on the vertical line. And finally for (-6,5), you should put the last dot on the -6 on the horizontal line, but move it up five spaces until it is at the 5 on the vertical line.
I hope I was able to help you, if you still do not understand I will try to explain a little bit more.
15cm
Calculate the perimeter of the figure below
5cm
2cm
1.5cm
3cm
4cm
3cm
In the sport competition, France won more gold medals than Italy, who won more gold medals than Korea. If the total number of gold medals won by these three countries is three consecutive integers whose sum is 48, find the number of gold medals won by each.
Answer:
Korea = 15
Italy = 16
France = 17
Step-by-step explanation:
Let :
Korea = x
Italy = x + 1
France = x + 2
(since the values are consecutive)
x + x + 1 + x + 2 = 48
3x + 3 = 48
3x = 48 - 3
3x = 45
x = 45 / 3
x = 15
Korea = x = 15
Italy = x + 1 = 16
France = x + 2 = 17
Sarah needs 10 feet of fabric for a project she is working on, but the store only sells the fabric in meters
Answer:
Sarah need to buy 3.048 meters of fabric
Step-by-step explanation:
there are around 0.3 meters in a foot. And there are 3.048 meters in 10 feet. (I dont know the math behind it i just searched it up, if you search “how many meters are in 10 feet” it gives you a converter and you can convert whatever you want)
Rachel works at a store that sells clothing accessories. The supply function for pairs of socks is P = Q-11, where P is the price and Q is the
quantity of pairs of socks. If Rachel sells the pairs of socks for $10 a piece, how many pairs of socks will the store make?
A) 4 pairs
B) 21 pairs
C) 11 pairs
D) 5 pairs
Answer:
c
Step-by-step explanation:
It is now 8:59 a.m. when the bell rings at 9:01 am. Damian will be late for science class for the 3rd time this week. He must get from one side of the school to the other by hurrying down 3 different hallways. He runs down the first hallway, a distance of 35.0 at a speed of 3.5 m/s. The second hallway is crowded with students and he covers its 4.80 m length at a speed of 1.20 m/s. The final hallway is empty and Damian covers its 60.0 m length at a speed of 5.00 m/s.
How long does it take him to cover the 1rst hallway? The second one? The third one?
Answer:
7 pi square 9.8
Step-by-step explanation:
While shopping for clothes, Curtis spent $44 less than 3 times what Jaclyn spent. Curtis
spent $43. Write and solve an equation to find how much Jaclyn spent. Let x represent how much
Jaclyn spent.
how long is the wire needed to put up a fence around a rectangular lot 25m long and 1500cm wide in meters
Answer:
750 meter
Step-by-step explanation:
1500 cm = 15 m
25 m × 15 m = 375 × 2 = 750
length × width = ### × 2 = perimeter
What is the volume of the figure Enter the answer in the box
Answer: 1360
Step-by-step explanation: I saw it on brainless
1). ppllllsssss awwnnsseeer thisss
4 + 2p = 12
so p = what
Answer:
p=4
Step-by-step explanation:
4+2p=12
Step 1: Simplify both sides of the equation.
2p+4=12
Step 2: Subtract 4 from both sides.
2p+4−4=12−4
2p=8
Step 3: Divide both sides by 2.
2p/2=8/2
p=4
Answer:
p=4
Answer:
P = 4
Step-by-step explanation:
4 + 2p = 12
12 - 4 = 8
2p = 8
8 ÷ 2 = 4
P = 4
pls help <3
and show your work
will mark as brainlest ;)
Answer:
x = 28.1 (nearest tenth)
Step-by-step explanation:.since we are given two sides and an included angle, we would need to apply the Cosine Rule to find x. Thus,
x² = 18² + 14² - 2*18*14*Cos(122)
x² = 520 - (-267.079309)
x² = 520 + 267.079309
x² = 787.08 (approximated)
x = √787.08
x = 28.1 (nearest tenth)
Alex has a video game membership that costs $36 per month. Which table shows the sum of the amounts that Alex will pay for his video game membership over the next 4 months?
Answer:
$144 at the end of 4 months
Step-by-step explanation:
$36 x 4 =144
Answer:
It will be $144
Step-by-step explanation:
because you do 36 times 4 and u get $144
what will be the Coordinates of point T after a 180 rotation about the origin
Answer:
(6, -4)
Step-by-step explanation:
FILL IN THE BLANK:
When you multiply or divide both sides of the inequality by a negative number, _______ the inequality symbol.
Answer:
reverse
Step-by-step explanation:
When you multiply or divide on one side of an inequaltiy, you have to mirror it on the other side and you have to reverse the inequality sign.
If a tree in a 1 in. : 2 ft. scale drawing is 10 inches tall, how tall is the actual tree?
Answer:
20 feet tall
Step-by-step explanation:
Since it is 1 in: 2ft and the drawing is 10 in, you multiply 10 by 2 and get 20 feet.
(hope this helps!)
30 POINTS!! Help You buy three smoothies for $4.99 each and pay the cashier $20.97. How
much change will you get back?*
Your answer
Answer:
5 dollars , subtract
Step-by-step explanation:
1) You have an ash tree and a magnolia tree in your yard. You chart the vertical growth of each tree.
a) Over two years, the ash tree grows 51 inches. What is the unit rate? Use a ratio table to find the vertical growth over five years. This is a required question
b) Over five years, the magnolia tree grows 80 inches. Construct a double number line that represents the situation. How much does the tree grow each year? * This is a required question
c) Which tree has the faster growth rate? This is a required question
d) What is the growth rate of each tree in millimeters per day? *
Answer:8
Step-by-step explanation answe is 8beuase the tree
a)The unit rate of ash tree is equal to 25.5 inches per year .(Table attached) b) The magnolia tree grows by 16 inches every year.(Table attached)
c) Ash tree has the faster growth rate.
d) growth rate of ash tree = 1.77 mm
growth rate of magnolia tree =1.113 mm
What is a double number line ?Double number line diagrams are best used when the quantities have different units.
Given here, the ash tree grows 51 inches over two years therefore unit rate of growth is 51/2 = 25.5 inches/year. Similarly, the magnolia tree grows 80 inches over five years thus the tree grows by 16 inches every year. Finally converting the growth rate of each tree in mm per day we get
growth rate of ash tree = 25.5 × 25.4 / 365
= 1.77 mm
growth rate of magnolia tree = 16 × 25.4 / 365
=1.113 mm
Hence, clearly ash tree grows faster than the magnolia tree and refer to the attachments for the table and double number line.
Learn more about double number line here:
https://brainly.com/question/13553589
#SPJ2
The circumference of a circle is 23π m. What is the area, in square meters? Express your answer in terms of
π
Answer:
132.25π
Step-by-step explanation:
1. the formula of the required area is: A=π*r², where 'r' is radius of the circle;
2. the formula of the the circumference of a circle is: L=2πr, where 'r' is radius of the circle. If the circumference is 23π, then 23π=2πr and r=23/2.
3. if r=23/2, then the required area is:
F=π*(23/2)²=132.25π
Answer:
132.25π m
Step-by-step explanation:
23π/2 = 11.5π
π11.5^2 = 132.25 π
HELP I M IN BIG TROUBLE PLZ HELP
SURFACE AREA HOW TO DO SURFACE AREA
Answer:
You can watch khan academy and it will show you also
Step-by-step explanation:
Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.
Amar rakes leaves for his neighbors to eam money. He eamed 64 dollars after
8 hours of work.
Answer:
Good for Amar but what’s the question
Step-by-step explanation:
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Change this radical to an algebraic expression with fractional exponents.
Answer:
[tex] a^{\frac{1}{3} [/tex]
Step-by-step explanation:
Given, [tex] \sqrt[3]{a} [/tex].
To change this radical, we would apply the rule of fractional exponents. (i.e. [tex] a^{\frac{x}{y}} = \sqrt[y]{a^x} [/tex]
Thus:
[tex] \sqrt[3]{a} = a^{\frac{1}{3} [/tex]
Answer: Answer is a 1/3
Step-by-step explanation:
Good afternoon guys and god bless!! does anyone know the answer to this?
Answer:
The answer tot he question provided is vertical (undefined)
The rectangular parking lot shown below has a total area of (4x + 36) square feet. Which could be the dimensions of the Parking lot?
Answer:
If the expression cannot be factored, write cannot be factored. 13. 4x + 12. 14. 8r - 14. 15 GEOMETRY The rectangle shown. 26. FUNDRAISING The Art Club receives below has a total area of (4x + 36). $10 plus $2 ... square feet. Factor 4x + i did it and a diffrent form can this help ?
Step-by-step explanation:
Trapezoids A B C D and E F G H are shown on the graph.
Answer:
Reflection across the x axis, and rotation 180 degrees clockwise about origin.
list the first 5 multiples of 3