Answer:
Diameter of the wheel = 1.2 feet
Step-by-step explanation:
Radius of a wheel = Distance between a point on the circumference and the center of the circle
Diameter of a wheel = 2(radius of the circle)
= 2(0.6)
= 1.2 feet
Therefore, diameter of the wheel is 1.2 feet.
The varsity soccer team has 20 players. Three of the players are trained to be goalies while the remaining 17 can play any position. Only 11 of the players can be on the field at once.
(a) We want to find the number of possible groups of 11 players the coach can choose. Is this a
permutation or a combination?
(b) If the coach wanted to choose her 11 starters at random by drawing names from a hat, how many possible groups of 11 starters could she choose?
(c) The coach wants to make sure there is exactly one goalie on the field. How many ways can the
coach choose a lineup of 11 players if exactly 1 player must be a goalie?
Answer:
Combination.
167960
58344
Step-by-step explanation:
A.)
Choosing 11 players from 20 ; here the order in which the players are chosen does not matter, hence it is a combination problem.
2.)
Using nCr
n = 20 ; selection, r = 11
nCr = n! / (n-r)!r!
20C11 = 20! / 9!11!
20C11 = 167960
3.)
1 goalie 10 players
3C1 * 17C10
3 * 19448
= 58,344 ways
pls someone help me plsss
please help me!!! i’m so bad at math hahaha
Answer:
Step-by-step explanation:
64x³-64x²-9x+14
In the diagram the quadrilateral
Answer:
x = 2 ; y = 3
Step-by-step explanation:
3x = 6
x = 2
4y = 12
y = 3
Order these numbers from least to greatest: -4, 1/4, 0, 4, -3& 1/2, 7/4, -5/4
Answer:
-4 < -3 < -5/4 < 0 < 1/4 < 1/2 < 7/4 < 4
Step-by-step explanation:
Answer:
In order of least to greatest. -4, -3 1/2, -5/4, 0, 1/4, 7/4, 4
Step-by-step explanation:
Hey can someone give me some really easy questions that i can answer i would really appreciate it thank you any subject
Alex wants to buy cupcakes for his work office but also does not want to spend over $25 because he doesn't like his co workers *that* much. If each cupcake cost $1.50, what is the max number of cupcakes that Alex can buy without going over his $25 limit? Write an equation and solve it.
Answer:
16 cupcakes
Step-by-step explanation:
Amount Alex wants to spend = $25
Cost of each cupcake = $1.50
what is the max number of
cupcakes that Alex can buy without going over his $25 limit?
Let
x = maximum number of cupcakes Alex can buy
Amount Alex wants to spend = Cost of each cupcake * maximum number of cupcakes Alex can buy
25 = 1.50x
x = 25 / 1.50
x = 16.67
The maximum number of cupcakes that Alex can buy without going over his $25 limit is 16 cupcakes as a whole
Decide whether the numbers can represent the side lengths of a triangle. If they can, classify the triangle as right, acute, or obtuse.
(pls help me im desperate for an answer for 5, 6, 7, and 8)
Answer:
4) i) The numbers can represent the side lengths of a triangle
ii) Right triangle
5) i) The numbers can represent the side lengths of a triangle
ii) Isosceles triangle
6) i) The numbers can represent the lengths of the sides of a triangle
ii) Pythagoras theorem
7) The numbers do not represent the lengths of sides of a triangle
8) i) The numbers can represent the side lengths of a triangle
ii) Scalene triangle
Step-by-step explanation:
In a triangle, the sum of the lengths of the two shorter sides is longer than the length of the longest side
The given numbers are;
4) i) 15, 20, 25
Given that 15 + 20 < 25, the numbers can represent the side lengths of a triangle
ii) 15² + 20² = 25²
Therefore, the sides lengths are in line with the side length of a right triangle as their relation is given by Pythagoras theorem
The triangle is a right triangle
5) i) The given numbers are;
2, 6, 6
Given that 2 + 6 > 6, the numbers can represent the side lengths of a triangle
ii) Given that the lengths of two sides are equal (6 each), the triangle formed by the numbers is an isosceles triangle
6) i) 0.27, 0.36, 0.45
0.27 + 0.36 = 0.63 > 0.45, therefore, the numbers can represent the lengths of the sides of a triangle
ii) Given that 0.27² + 0.36² = 0.45², according to Pythagoras theorem, the type of triangle formed is a right triangle
7) 2.5, 1.5, 4
Given that 2.5 + 1.5 = 4, the numbers do not meet the criteria for forming triangles and therefore they cannot represent the side lengths of a triangle
8) i) 12, 16, 25
12 + 16 = 28 > 25, the numbers can represent the side lengths of a triangle
ii) 12² + 16² = 400 < 25² = 625, therefore, the triangle formed by the numbers is not a right triangle but a scalene triangle.
NEED ASAP ---- 25 POINTS---NO LINKS
What is the slope of the line in both of the graphs?
Answer:
-10
Step-by-step explanation:
First, we need to find the slope, defined by m, using the equation
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
First, we must choose points. I will choose (2, 165) as point 1 and (1, 175) as point two, so:
x1= 1
y1= 165
x2= 2
y2= 175
Now, let's plug it in.
[tex]m = \frac{175 - 165}{1 - 2} = \frac{10}{ - 1} = - 10[/tex]
For the next one, we follow the same process.
Point 1: (3, 165)
Point 2: (2, 175)
[tex]m = \frac{175 - 165}{2 - 3} = \frac{10}{ - 1} = - 10[/tex]
Somebody help me with this
Answer:
D s>350000
Step-by-step explanation:
The difference in base salary is 7,000 (45,000-38,000). To earn an additional 7,000, sales must be at least 350,000.
350000 x.02 (2% commission) is 7,000
What is the total cost of a $1350.00 computer with a sales tax of 6.5%?
$1437.57
$1437.75
$1473.57
$1473.75
can someone write down the steps how you go from f(x) to g(x)
Answer:
this is an example of your question
I hope it helps
the yearly cost of a life saving cancer treatment is growing exponentially if the current cot is $3500 per year which of the following funtions could represent the annual cost of this cancer treatment in x amount of years
A x= 3,500^ 3/4 )^ x ( fraction as a exponent plus x the exponet )
B x= 3500x
C x= 3500 + 1000x
D 3500^ 5/2^x ( fraction as a exponent plus x the exponet )
Answer:C
Step-by-step explanation:
The function f(x) = 3500^x represents the annual cost of this cancer treatment in x amount of years option (B) is correct.
What is an exponential function?It is defined as a function that increases exponentially. The exponential function is in the form of a^x where a is the constant value.
Exponential function can be written as:
[tex]\rm f(x) = a^x[/tex]
Where a is the base and a constant value.
We have:
A current cost for the life saving cancer treatment = $3500
And it is growing exponentially.
As we can see in the options the two option represents the exponential function with the current cost of $3500
[tex]\rm f(x) = 3500^x[/tex]
At x = 1 (current year)
f(x) = $3500 (current cost)
At x = 2 (second year)
f(x) = 3500² ⇒ $12,250,000 (cost at second year)
The cost increased exponentially.
Thus, the function f(x) = 3500^x represents the annual cost of this cancer treatment in x amount of years option (B) is correct.
Learn more about the exponential function here:
https://brainly.com/question/11487261
ONLY NEED ANSWER FOR PART B PLEASE AND THANK U!!
Windows on the International Space Station are shown below. Suppose the long base of the window is 15.2 feet and the short base is 11.2 feet. The perpendicular height from one base to the other base is 8.4 feet. Draw one of the trapezoid-shaped windows on grid paper and label its dimensions. Describe the process you would use to find the area of one trapezoid-shaped window. (2 points)
Calculate the area of the window using the dimensions given in Part A. Show your work and explain your reasoning. (4 points)
Answer:
The formula is Area = base+base/2 x height.
Step-by-step explanation:
This means that we need to add both bases, then divide that by 2. The quotient of that gets multiplied by the height, and you have your answer.
Answer:
½h(a+b)Step-by-step explanation:
½×8.4(11.2+15.2)
4.2 × 26.4
105.68
Complete the statement with equal to, greater than, or less than. 1/3 x 2 1/6 will be 2 1/6
Answer: c
Step-by-step explanation:
bc
pls help !! brainilist will be given !!
Answer: x = 6, Angle ABC = 45, Angle DBC = 34
Step-by-step explanation:
79 = (5x + 4) + (8x - 3)
79 = 13x + 1
78 = 13x
x = 6
8x - 3 plug in 6 for x
8(6) - 3
Angle ABC = 45
5x + 4 plug in 6 for x
5(6) + 4
Angle DBC = 34
What is the value of 5•(13÷3)÷2? Please answer!!!!!
Answer: 10.83
Step-by-step explanation:
Pemdas
Lionel wrote an arithmetic sequence. The first five terms of the sequence are shown below.
3, 10, 17, 24, 31, ...
What is the next term of Lionel's sequence? Show or explain how you got your answer.
Answer:
The common difference between numbers is 7.
3
3+7=10
10+7 = 17
17+7=24
24+7=31
31+7= 38
3, 10, 17, 24, 31, 38
if i got 576 pets and then i leave 111 pets and then add another 890 how much do i have in total
Answer:
1355 pets
Step-by-step explanation:
576 pets - 111 pets = 465 pets
465 pets + 890 pets = 1355 pets
Answer:
1355 pets
Step-by-step explanation:
no link pls and thank you number 9
Answer:
70 in
Step-by-step explanation:
Please help me please please help please
Answer:
Step-by-step explanation:
find the measure of the arc or angle indicated. assume that lines which appear tangent are tangent. just enter the number.
Answer:
C. 60°
Step-by-step explanation:
The vertical angle formed inside a circle when two chords intersect each other is equal to half the sum of the measures of the intercepted arcs, based on the intersecting chords angle measure theorem.
Thus:
90° = ½(120° + arc TA)
Multiply both sides by 2
2*90 = 120 + arc TA
180 = 120 + arc TA
Subtract 120 from each side
180 - 120 = arc TA
60° = arc TA
Arc TA = 60°
What are these numbers least to greatest ??!!! 8th grade math !!
Answer:
i gotchu its d
Step-by-step explanation:
hope it helps!
Two forces of 960 pounds and 670 pounds act simultaneously on an object. The angle between the two forces is 34 degrees find the magnitude of the resultant to the nearset tenth.
Answer:
1561
Step-by-step explanation:
hii! please help asap. i’ll give brainliest
Answer:
D is the one
:)
a) Expand and simplify.
7(x - 2) - 2(x - 1)
b) Factorise fully.
8x2
+ 6x
Answer:
a). 5x - 12 b). 2x(4x + 3)
Step-by-step explanation:
a). 7(x - 2) - 2(x - 1)
= 7x - 14 - 2x + 2
= 5x - 12
b). 8x² + 6x
2x(4x + 3)
What is the surface area of the right rectangular prism below?
25030
A.
130 in.2
B.
154 in.2
C.
308 in.2
D.
312 in.2
Answer:
Hello! answer: 308 HOPE THAT HELPS!
Could use sum help please
Answer:
I need help with the same thing-
Step-by-step explanation:
help needed asap please help!!!!!
Answer:
The bottom one
Step-by-step explanation:
Because they all are over five and you need a number that is under.
Determine the equation of the line parallel to the line y=34x+2
y=3/4x+2 that passes through the point (4, -3).
Answer:
y = 34x - 139 (y = 34x + 2)
y = [tex]\frac{3}{4}[/tex]x - 6 (y = 3/4x +2)
Step-by-step explanation:
(I'm not sure if the two equations were the same or not, but I provided the answers just in case.) Parallel lines are two lines that have the same plane and slope but never intersect. To find the equation, use the formula y - [tex]y_{1}[/tex] = m (x - [tex]x_{1}[/tex])