A sporting goods company is planning to manufacture a commemorative lacrosse
ball to demonstrate the importance of lacrosse to Canadian culture. The ball has a
diameter of 10 cm. Determine the dimensions of the cylinder which will package
the lacrosse ball so that it has a maximum volume and minimum surface area.
Calculate the volume and surface area of this cylinder.​

Answer:

C

Step-by-step explanation:

Angles on a straight line.

180 - 100

= 80

Angles in a triangle.

180 - 38 - 80

= 62

Answer:

(-5, 8)

Step-by-step explanation:

If the vertex of the parabola is on (0, 0), and moved to the left 5 units and up 8 units, the point would be (-5, 8). When a point is moved to the left, the number goes down, and when a point is moved up, it goes up in value. Therefore, you get (-5, 8).

Answer:

m angle 1= 45

m angle 2= 76

m angle 3= 80

Step-by-step explanation:

Answer:

last one is the right answer

Answer:

d.5-eighths of a # plus negative 2 and 5-tenths.

Step-by-step explanation:

Hope i helped you.

Answer:

Adult price $5

Student price 8$

Step-by-step explanation:

Hello!

The school sells tickets for the choral performance with different prices depending on the ticket is for an adult or for a student of the school.

If X represents the price of an adult ticket and Y represent the price of a student ticket using the given information you can determine a set of two equations with two unknown values:

Day 1: 6 adult tickets and 11 student tickets for a total of $118

Symbolically: 6X + 11Y= $118

Day 2:  12 adult tickets and 12 student tickets for a total of $156

Symbolically: 12X + 12Y= $156

Step 1

From one of the formulas, clear one of the unknown values:

[tex]12X + 12Y= 156\\12Y= 156- 12X\\Y= \frac{156-12X}{12} \\Y= 13 - X[/tex]

Step 2

Replace the value obtained in step one in the second formula:

[tex]6X + 11Y= 118\\6X + 11(13 - X)= 118\\6X + (11*13) - 11X = 118\\6X -11X + 143= 118\\-5X= 118 - 143\\-5X= -25\\X= 5[/tex]

The ticket price for an adult is $5

Step 3

Using the value of X obtained in step 2, replace in the formula for Y to obtain the ticket price for students:

Y= 13 - X= 13 - 5= $8

I hope this helps!

Answer:

Step-by-step explanation:

If the total number of potions is p, then we can write (2/5)p to represent the number of potions needed.

Wasn't the total number of potions given?

Answer:

8pi km, 16pi  km

Step-by-step explanation:

The formula for circumference is d times pi

That means it's simply 8pi

The area formula is pi r^2

To find the radius, we divide by 2,

4 squared is 16

Area is 16pi

Answer:

The answer will be B ($71.36)

Step-by-step explanation:

17 ft. = 17/3 yd.

2 inch. = 2/(12 x 3) yd.

The cost will be: 40 x (17/3) x (17/3) x (2)(12/3) = 5780/81 = $71.358024...

= $71.36 (rounded)

Hope This Helps!!!

Answer:

the answer is a

Step-by-step explanation:

Answer:

x = 25.

Step-by-step explanation:

Since the longer side of the smallest triangle bisects the largest triangle's right angle, all three triangles shown are similar.

As seen in the diagram, the smaller triangle's hypotenuse (15) corresponds to the the largest triangle's hypotenuse (x), and the smaller triangle's shorter side length (9) corresponds to the largest triangle's shorter side length (15). So, we can set up a proportion...

[tex]\frac{x}{15} =\frac{15}{9}[/tex]

9 * x = 15 * 15

9x = 225

x = 225/9

x = 25

Hope this helps!

Answer:

25 bananas

Step-by-step explanation:

11 apples doubled is 22 then plus 3 in 25 this he brought 25 bananas

The number of bananas that Yash brought is 4 bananas.

It is given that Yash brought apples and bananas to a picnic. The number of apples was three more than twice the number of bananas.

We have to find out that how many bananas did he bring , if number of apple were 11.

What do you mean by linear equation in one variable ?

Linear equations in one variable is an equation which is expressed in the form of ax + b = 0, where a and b are integers and x is a variable.

As per the question ;

Tach brought 11 apples to picnic.

Let's assume the number of bananas = x

Number of apple = 11 = 2x + 3

⇒ 11 = 2 x + 3

⇒ 2x = 8

⇒ x = 8 ÷ 2

⇒ x = 4

Thus , the number of bananas that Yash brought is 4 bananas.

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Answer:

Thus, 28/5 is equivalent of 5.6

Step-by-step explanation:

Given

Number is 5.6

it is in decimal form.

The first number after decimal represent the tenth of number

The Second number after decimal represent the hundredth of number

and similarly we can define thousandth of a number.

Step to write decimal number in fractional form is (say a.bcd

write the full number without decimal

so number will be

abcd

divide the number by 1

abcd/1

now count the number of digit after decimal  and put as many 0's after 1

there are three digits after decimal, we will put three digit after 1 in denominator

thus number in fraction is

abcd/1000

_________________________________________________

Given number is 5.6

hence writing it in fractional form as explained above

5.6 = 56/10

56 = 28*2

10 = 2*5

5.6 = 56/10  = 2*28/2*5 = 28/5

Thus, 28/5 is equivalent of 5.6

Answer:

{x ≠ -3 ∪ x ± 4}

Step-by-step explanation:

The (x - 4) terms cancel, but x still may not = 4 (which would cause division by zero).  Also, (x + 3) may not be zero (for the same reason), and so x ≠ -3.

The domain of this function is {x ≠ -3 ∪ x ± 4}

Answer:

52.36%

Step-by-step explanation:

I did this problem on a test

52.33% is the percentage of the triangle does the circle cover.

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

Area of triangle = 24 sq units

Center of Circle is at (0, 0) and the circle passes through (1.2, 1.6).

We need to find the percentage of triangle covered by circle.

we need to find the area of circle.

To find the area of circle, we need the radius of circle.

Radius of circle is the distance between the center of circle and any point that lies on the periphery of the circle.

Radius = =√(1.2-0)²+(1.6-0)²

=2 units

Now, area of circle is given by the formula:

Area = πr²=3.142×4=12.56 sq units

Percentage of Triangle covered:

Area of circle/Area of triangle × 100

12.56/24× 100

52.33%

Hence, 52.33% is the percentage of the triangle does the circle cover.

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Answer:

Option C is correct.

Step-by-step explanation:

Your solution is correct. Given the integral [tex]\int \csc \left(4x\right)dx[/tex], let y = 4x, du = 4dx, respectively [tex]\frac{1}{4}[/tex]du = dx. Rewrite the given using these values of u and du.

[tex]\frac{du}{dx}[/tex] = 4 / 1 = 4,

[tex]\int csc(u)\frac{1}{4} du[/tex] - let us combine csc( u ) and 1 / 4,

[tex]\int csc(u) / 4 * du[/tex] - as 1 / 4 is a constant with respect to u, we can move it out of the integral,

[tex]\frac{1}{4} \int csc(u)du[/tex] - the integral of csc( u ) with respect to u is present in the form

" [tex]In(|csc(u) - cot(u)|)[/tex] . " Therefore,

[tex]\frac{1}{4} ( In(|csc(u) - cot(u)|) + C )[/tex] - replace all occurrences of u with 4x to receive the third solution. It can also be written as " [tex]\frac{1}{4} ( In(|csc(4x) - cot(4x)|) + C )[/tex], but only that your move the negative sign to the left of the integral.

7a -a2

+3a2 -4

Answer:

-4a^2+7a+4

Step-by-step explanation:

7a-a^2 --4+-3a^2

:-4a^2+7a+4

Answer:

29/30

Step-by-step explanation:

Make all denominators equal to 30.

4/5 × 6/6  +  1/2 × 15/15  -  1/3 × 10/10

24/30 + 15/30 - 10/30

Combine.

(24 + 15 - 10)/30

(24 + 5)/30

= 29/30

[tex]\frac{4x6}{5x6}[/tex]Answer:

Step-by-step explanation:

4/5+1/2-1/3

TAKE LCM of denominator

Lcm=5x2x3(as all are prime factors)=30

4x6/5x6

similarly, 1x15/2x15

1x10/3x10

you will get,

[tex]\frac{24+15-10}{30}[/tex]

you will get,

29/30

(/=division sign)....hope i cleared your doubts....pls mark brainliest

Answer:

30%

Step-by-step explanation:

Answer:

33

Step-by-step explanation:

100 / 3 is approximately equal to 33

Answer:

i think it is .c because 3 goes into about 33.33 times so hope this helps

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

To first tackle this question, use similarity ratio, where the missing diameter is d. 10/15 = d/9 which can be simplified into d = 6. Then use the surface formula  

2πrh + 2πr². Then, since the radius is 0.5d, the radius or r is 3. Then, plus in values and simplify to get 226.19cm².

Answer:

The similarity ratio is 4 4/1 or 4

Step-by-step explanation:

You find that one of them has side lengths of 1 and the other has side lengths of 4

Answer:

Similarity statement is a little mixed up.

Step-by-step explanation:

Your similarity statement is a little off. The order in the statement DOES MATTER.  For example angle E corresponds with angle V or T (∠V≅∠T). These would be correct...

                    ...**

**There are a lot but the first letter of the first polygon corresponds with the first letter of the second polygon and so on. That is the only way this statement is true. There are about a 96 different combinations for this so any one would work.

The similarity ratio is the same thing as asking "what value would make the first polygon congruent to the second"? In this case 1(x) = 4, x = 4. Therefore the ratio is 4, or 4/1 (if asked can also be written as 4:1. THE ORDER IS ALSO VERY IMPORTANT.

Answer:

14.21 inches

Step-by-step explanation:

Given

1 inch = 14 feet

Required

Find the equivalent of 199 feet

Write out the given expression;

1 inch = 14 feet

Let x represent the equivalent of 199 feet in inches; Such that:

x = 199 feet

Write out both expressions

1 inch = 14 feet

x = 199 feet

Using cross multiplication; both expressions become

x * 14 feet = 199 feet * 1 inch

Divide both sides by 14 feet

[tex]\frac{x * 14 feet}{14 feet} = \frac{199 feet * 1 inch}{14 feet}[/tex]

[tex]\frac{x * 14}{14} = \frac{199* 1 inch}{14}[/tex]

[tex]\frac{14x}{14} = \frac{199* 1 inch}{14}[/tex]

[tex]x = \frac{199* 1 inch}{14}[/tex]

[tex]x = \frac{199inch}{14}[/tex]

[tex]x = 14.2142857143inch[/tex]

[tex]x = 14.21 inches[/tex] (Approximated)

Answer:

[tex]\huge \boxed{y\leq 0}[/tex]

Step-by-step explanation:

The range of a function are all possible values for y.

[tex]y = -|x|[/tex]

The domain is all real numbers. The value of x can be all real numbers.

The absolute value of a number will always be positive.

The negative sign gets distributed to the absolute value, the output or end result will always be a negative number or zero, the range is less than or equal to 0.

The range of the function is [tex]y\leq 0[/tex]

Answer:

B on edge 2020

Step-by-step explanation:

The next one is -21, 33, 6 in that order

The order of product of the matrix is 3×1. Therefore, option B is the correct answer.

The product of two matrices A and B is defined if the number of columns of A is equal to the number of rows of B. If both A and B are square matrices of the same order, then both AB and BA are defined. If AB and BA are both defined, it is not necessary that AB = BA.

The given matrix is [tex][3]\left[\begin{array}{ccc}-7\\11\\2\end{array}\right][/tex]

Here, the product is [3×(-7) 3×11 3×2]

= [-21 33 6]

So, the size of the product is 3×1

Therefore, option B is the correct answer.

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Answer:

There can be 14,040,000 different passwords

Step-by-step explanation:

Number of permutations to order 3 letters and 2 numbers (total 5)

(AAANN, AANNA,AANAN,...)

= 5! / (3! 2!)

= 120 / (6*2)

= 10

For each permutation, the three distinct (English) letters can be arranged in

26!/(26-3)! = 26!/23! = 26*25*24 = 15600 ways

For each permutation, the two distinct digits can be arranged in

10!/(10-2)! = 10!/8! = 10*9 = 90 ways.

So the total number of distinct passwords is the product of all three permutations,

N = 10 * 15600 * 90 = 14,040,000

Answer:

C.

Step-by-step explanation:

Given

2x - 3y < 12

Required

Find the graph it represents

we start by solving for the x and y intercepts;

Let x = 0

2x - 3y < 12 becomes

2(0) - 3y < 12

0 - 3y < 12

-3y < 12

Divide both sides by -3

-3y/3 < 12/-3

y > -4

Let y = 0

2x - 3y < 12 becomes

2x - 3(0) < 12

2x - 0 < 12

2x < 12

Divide both sides by 2

2x/2 < 12/2

x < 6

So, we have

x < 6 and y > -4

This implies that the graph is bound by the region where the values of x is less than 6 and the values of y is greater than -4

From the list of given options,only option C answers this question. The dotted lines actually represent inequalities

Answer:

Bob buys n number of cookies. He goes again and buys 15 more. After that he splits them among 5 friends.

Step-by-step explanation:

Answer:

Sandy buys a number of slices of pizzas from Pizza Hut. She then goes to Marco's Pizza and buys 15 more slices. Sandy goes to a party and splits the pizza slices evenly between 5 friends. How many slices of pizza did she buy from Pizza Hut?

Answer:

1024pi cm²

Step-by-step explanation:

4pi(16)²

4pi256

1024pi

Answer:

[tex]256\pi {cm}^{2} [/tex]

Step-by-step explanation:

surface area of a sphere=4πr^2

diametre=16

[tex]radius = \frac{diametre}{2} [/tex]

radius=8

[tex]surface \: area \: of \: sphere = 4 \times \pi \times {8}^{2} [/tex]

[tex] \: \: \: \: = 4 \times \pi \times 64[/tex]

[tex] \: \: \: \: = 256\pi {cm}^{2} [/tex]

Answer: 25?

Step-by-step explanation: