Answer:
5040 possible arrangements
Step-by-step explanation:
Given
[tex]Trophies = 7[/tex]
Required
Possible arrangements
The 1st can be placed in any 7 positions
The 2nd, in 6 positions
-----
--
-
Up till the last in 1 position
So, the number of arrangements is:
[tex]Arrangements = 7 * 6 * 5 * 4 * 3 * 2 * 1[/tex]
[tex]Arrangements = 5040\ ways[/tex]
1. the area of a circle is 132.7 square inches. find the radius. round to the nearest tenth
2. in terms of pi, find the area of a 120 degree sector in a circle with a 6m radius
Answer:
no ):(
Step-by-step explanation:
Answer:
1. r ≈ 6.5in
2. 132
Step-by-step explanation:
1. A=πr2
Solving for r
r=A
π=132.7
π≈6.49921 in
2. = 120°/ 360° x 22/7 x 6²
= 1/3 x 22/7 x 6 x 6
= 22 x 6 x 6 / 7 x 3
= 22 x 6
= 462
Find the value of a in the diagram below:
20
40°
200°
(PLEASE HELP)
What is the measure of the unlabeled angle in the triangle below?
A.38
B.40
C.49
D.89
Answer: B. 40
Step-by-step explanation:
We know that a triangle has to equal 180 degrees and we have measurements of two sides 49 and 91 we add those together to get 140 and subtract that from 180 to get you answer of B. 40
Stonehenge is one of the most famous historical sites in the world. It is believed to
be a burial site built around 2000BC. It covers an area of 804m2. What is the radius
of Stonehenge
Answer: Radius is 15.9975 meters.
Step-by-step explanation:
The formula to find radius of circle is r=[tex]\sqrt{A/\pi }[/tex] so plug in our known variables and solve...
r=[tex]\sqrt{804/\pi }[/tex]
r=[tex]\sqrt{255.9211}[/tex]
r=15.9975
please show your work.
Answer:
1. 8.19, 2. 25.96, 3. 3.95
Step-by-step explanation:
use soh cah toa
1. cos is adjacent/hypotenuse
cos73=x/28
multiply both sides by 28
28cos73=x=8.186
2. sin is opposite over hypotenuse
sin68=x/28
multiply both sides by 28
28sin68=x=25.961
3. sin is opposite over hypotenuse
sin26=x/9
myltiply both sides by 9
9sin26=x=3.945
if y varies inversely as x, and y =35 when x =14, find x when y =15.
Answer:
[tex]x = 32 \frac{2}{3} [/tex]
Step-by-step explanation:
[tex]y = \frac{k}{x} ,where \: k \: is \: a \: constant.[/tex]
Let's find the value of k first.
When y= 35, x= 14,
[tex]35 = \frac{k}{14} [/tex]
k= 14(35)
k= 490
Substitute the value of k into the equation:
[tex]y = \frac{490}{x} [/tex]
When y= 15,
[tex]15 = \frac{490}{x} [/tex]
15x= 490
x= 490 ÷15
[tex]x = 32 \frac{2}{3} [/tex]
i need help please this is quite hard for me
What is the volume of this rectangular prism?
3/5cm 4/3cm 3cm
Answer:
The volume is 2.4
Answer:
2.4 cm
Step-by-step explanation:
Length× Width × Height
[tex]\frac{3}{5}[/tex] × [tex]\frac{4}{3}[/tex] × [tex]\frac{3}{1}[/tex] = [tex]\frac{36}{15}[/tex]
[tex]\frac{36}{15} = \frac{12}{5}[/tex]
12÷5= 2.4
reflect the triangle in the mirror line
Answer:
correct me if im wrong bb
joey took a total of 12 pages of notes during 3 hours of class. after attending 4hours of class, how many pages of notes will joey have in his notebook
HELPPP
Answer:
If he kept taking notes at the same pace, he would have 16 pages of notes in his notebook.
Step-by-step explanation:
By dividing the number of pages of notes taken by the time spent taking them, you can find his rate of note-taking, which is 4 pages an hour. By adding another hour of notes, he should have 16 pages of notes. But if this question is asking for 4 more hours, the answer would be 28 pages.
What is the spread of the data?
A. 15 to 30 years
B. 18 to 25 years
C. 21 to 25 years
D. 18 to 21 years
One of the measures of a triangle is 30º. If the sum of the other 2 angles is 150º and the differnce their measures is 18º what are the of the unkown angles
Answer: 84° & 66°
Step-by-step explanation:
find our variables...
difference in two unknown angles is 18 so...
Let's use a, b, & c to set up
a=30 b=b c=b-18
150=b+c
150=b+(b-18)
150=2b-18
168=2b
84=b
Use our known b to find c...
c=b-18
c=84-18
c=66
Adding all three up to make sure they give us 180 degrees is a good way to check our work.
a+b+c=
30+84+66=180
Simplify: –3(y + 2)2 – 5 + 6y
What is the simplified product in standard form?
y2 +
y +
- 17 woule be the correct answer for the equation being simplified
Answer:
For edge
Step-by-step explanation:
The first one is -3
The second one is -6
The last one is -17
What is the GCF for 4x^2yz^3 and 12xz^2
Answer:
The great common factor is:
x(2z)²Steps:
given:
4x²yz³12xz²4x²yz³ = 2²x²z²yz
4x²yz³ = x(2z)²xyz
---------------------------------
12xz² = 4×3xz²
12xz² = 2²3xz²
12xz² = x(2z)²3
The great common factor is: x(2z)²
Answer:
4xz^2.
Step-by-step explanation:
GCF of 4 and 12 is 4
GCF of x^2 and x is x.
GCF of z^3 and z^2 is z^2.
how many times can 82 go into 401
Answer:
4.89 times
Step-by-step explanation:
I hope this helps :)
Answer:
82 can go into 401 four times.
Step-by-step explanation:
82 multiplied by 4 is 328, and if you add another 82, the number would be greater than 401, so the answer is 4 times.
Simplify fully125y2/10xy
Answer:
12.5y/x
Step-by-step explanation:
125y²/10xy = 12.5y/x
Help me please I don’t know this stuff
Abby mixed orange paint by using 3 cups of red paint and 9 cups of yellow paint. Zack made his orange paint by mixing 5 cups of yellow paint and 3 cups of red paint. Are Abby's and Zack's mixes proportional? Explain.
Can anyone answer this?
Step-by-step explanation:
a) First we will convert 150km/hr to m/s.
[tex] \frac{150km}{1hr} = \frac{(150 \times 1000)m}{(1 \times 60)s} \\ = \frac{150000m}{60s} \\ = 2500m \: per \: second[/tex]
=2500m/s, which is the initial speed of the plane.
b)Final Speed of plane = Speed when it stopped.
= 0m/s.
c)Time taken to stop = 3 seconds.
d)Using the kinematic equation,
v = u + at,
where v = Final Speed = 0m/s
u = Initial Speed = 2500m/s
a = acceleration
t = time taken = 3 seconds
Substitute v, u and t to find a.
[tex]0 = 2500 + 3a \\ 3a = - 2500 \\ a = - 2500 \div 3 \\ = - 833 \frac{1}{3} \frac{m}{ {s}^{2} } [/tex]
The sides of a right triangle are used to construct three squares, as shown below. The number of square units, representing area, is shown in two of the squares. A represents the area of the largest square.
1. We know that the distance formula will be be d=√((x_2-x_1)²+(y_2-y_1)²), then we can do x2-x1=3. Y2-Y1=5. 3x3+5x5=34, the square root of 34 is around 5.83. The answer is F.
The person with that spam is rude and wasted your time, sorry for that.
The solution is Option D.
The area of the square with the side having the hypotenuse of the triangle as the side is 34 units²
What is a Triangle?
A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
Given data ,
Let the area of the square A be = S
Let the triangle be represented as ΔABC
The base of the triangle BC = 5 units
The height of the triangle AB = 3 units
So , the hypotenuse of the triangle AC = Side of the square A
And , from the Pythagoras theorem
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
Substituting the values in the equation , we get
AC² = AB² + BC²
AC² = 5² + 3²
AC² = 25 + 9
AC² = 34 units²
AC² = Area of the square A with side AC
Therefore , the value of S is 34 units²
Hence , The area of the square with the side having the hypotenuse of the triangle as the side is 34 units²
To learn more about triangles click :
https://brainly.com/question/16739377
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Toby found a $52 wallet on the clearance
rack for 60% off. If sales tax is 6.25%, how
much will he pay in total?
A.$22.10
B.$23.75
C.$28.50
D.$33.15
Answer:
A. $22.10
Step-by-step explanation:
52 x 0.4 = 20.8
20.8 x 1.0625 = 22.1
5[5y -6] = 4[y -7]
solve the equation by balancing the equation
Answer: 2/21
Step-by-step explanation:
5[5y -6] = 4[y -7]
We first need to open the bracket to be able to solve the question
25y - 30 = 4y - 28
Collect like terms
25y - 4y = -28 + 30
21y = 2.
y = 2/21
Therefore, the value for y is 2/21.
thank you for hurrying here is the very last one Explain how you would find the perimeter of this triangle.
Step-by-step explanation:
Use the method of TOA CAH SOH.
[tex]tan(51.3) = \frac{opp}{adj} \\ \tan(51.3) = \frac{u}{4} \\ u = 4 \tan(51.3) [/tex]
[tex] cos(51.3) = \frac{adj}{hypo} \\ \cos(51.3) = \frac{4}{v} \\ v \cos(51.3) = 4 \\ v = \frac{4}{ \cos(51.3) } [/tex]
Perimeter of triangle = Sum of all sides =
[tex]u \: + \: v + 4[/tex]
Answer:
use right angeled triangle method.
what’s the comparison to 3/25 and 22/25
Answer:
This is the answer. Hope it helps
Step-by-step explanation:
3/25<22/25
If 10% of a number is 12 and 45% of the same number is 54, find 35% of that number.
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Answer: 42
Explanation:
120 x .35 = 42
I hope this helped!
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42 is your answer
Answer:
let no be x
10% of x=12
x=1200/10=120
again
45% of x=54
x=5400/45=120
here
35% of 120=35/100×120=42
Help.Right answer gets brainliest.
Answer:
D it should be D i had a similar question
3) Write an explicit
formula for the
sequence:
45, 41, 37, 33
Answer and Step-by-step explanation:
f(n) = 45 - 4(n - 1)
This is the explicit formula for the sequence.
45 is the initial amount, which is why it is by itself.
The change in the sequence is take away 4, so this becomes a negative 4, which is then multiplied by (n - 1), where n is the term in the sequence.
#teamtrees #PAW (Plant And Water)
please help
will mark brainlist
ANSWER:
J:
(5,-10)
K:
(15,-6)
L:
(15,-15)
2.Use the digits given below to make the largest possible number
without repetition off digits. .Then round off nearest ten, hundred and
thousand
a) 2, 5,4 , 3, 6, 7
b) 0 ,9, 8, 7 ,6, 4
Answer:
1)765432
Nearest ten: 765430
Nearest hundred: 765400
Nearest thousand: 765000
2) 987640
Nearest ten: 987640
Nearest hundred: 987600
Nearest thousand: 988000
Not sure if this is what you want.
Write a linear equation in slope intercept form using the given point and slope.
(6,-6); slope = 2/3
Answer:
2/3x-10
Step-by-step explanation:
y=mx+b
y=2/3x+b
Now, what about b, the y-intercept?
To find b, think about what your (x,y) point means:
(6,-6). When x of the line is 6, y of the line must be -6.
Because you said the line passes through this point, right?
Now, look at our line's equation so far: . b is what we want, the 2/3 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (6,-6).
So, why not plug in for x the number 6 and for y the number -6? This will allow us to solve for b for the particular line that passes through the point you gave!.
(6,-6). y=mx+b or -6=2/3 × 6+b, or solving for b: b=-6-(2/3)(6). b=-10.
so, y=2/3x-10