Evaluate the following:
c) The height of each cylinder in a set of food-storage containers is 30 cm.
The radius of the largest container is 10 cm.
The volume of the smallest container is one-third the volume of the largest container.
The volume of the middle-sized container is two-thirds the volume of the largest
container. What is the volume of each container?

Most likely one of these unrelated factors that could possibly have an impact on how long it takes to finish the race is the environment

Therefore the correct option is a) Number of people the stadium can hold

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The equation of the line perpendicular to {y = 14x - 4} and passes through the point (28, 16) is y = - (1/14)x + 18.

The general equation of a straight line is -

y = mx + c

{m} - slope.

{c} - intercept along the y - axis.

Given is the equation of the line as -

y = 14x - 4

The given equation of line is -

y = 14x - 4

Slope of the line perpendicular to the given line is -

m{p} = -1/14

The equation of this line will be -

y = -(1/14)x + c

For the point (28, 16), we can write -

16 = -(1/14) x 28 + c

c = 16 + 2

c = 18

So, the equation will be -

y = - (1/14)x + 18

Therefore, the equation of the line perpendicular to {y = 14x - 4} and passes through the point (28, 16) is y = - (1/14)x + 18.

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After distribution of the negative sing in the parenthesis, the equivalent expression is 10.7p - 4.6

The expression that is given to us is -(-10p - 0. 7q) – 4. 6.

Now, we know that the meaning of equivalent expression is the it has the same value as that of the original expression.

We have to use the "-" and distribute it over the expression to form an equivalent relation,

So, we know,

-(-10p - 0.7q) – 4.6

Here, p is a constant,

Multiplying the negative sign inside of the bracket,

= (-(-10p)-(-0.7p)-4.6

= 10p + 0.7p - 4.6

= 10.7p - 4.6

So, the equivalent expression is 10.7p - 4.6.

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Answer:

16

14

8

Step-by-step explanation:

Answer:

[tex](x,y)\rightarrow(1,2)[/tex]

Step-by-step explanation:

Multiply first equation by 3 to help cancel out the "y" variable:

[tex]\displaystyle \left \{ {{x+y=3} \atop {x-3y=-5}} \right.\\\\\rightarrow \left \{ {{3x+3y=9} \atop {x-3y=-5}} \right.[/tex]

Combine system of equations on both sides:

[tex](3x+3y)+(x-3y)=9+(-5)\\4x=9-5\\4x=4\\x=1[/tex]

Thus,

[tex]x+y=3\\1+y=3\\y=2[/tex]

Answer:

1+1

2+2

3+3= 12

Step-by-step explanation:

pls can I get branliest I need it

Answer:

12

Step-by-step explanation:

1+1+2+2+3+3

2+2+2+3+3

4+2+3+3

6+3+3

9+3

12

Answer:

Sum of Interior Angles = 1,440º

Each Interior Angle =  144º

Step-by-step explanation:

Sum of Interior Angles = (n − 2) × 180°

Each Interior Angle (of a Regular Polygon) = (n − 2) × 180° / n

----------------------------

10 sided regular polygon

Sum of Interior Angles = (10 − 2) × 180º

Sum of Interior Angles = 1,440º

Each Interior Angle = (10 − 2) × 180º / 10

Each Interior Angle =  144º

Answer:

Sum of interior angles = 1440°

One of the interior angle = 144°

Step-by-step explanation:

This figure have 10 sides so it's called a Decagon

Sum of all interior angles of Decagon : 180 ( n - 2), where n = number of sides the polygon has.

=> 180 (10 - 2) = 1440

To find one of the interior angle : 1440 / 10 = 144

Hope this helps!

Answer: You need to drew , this arrow , to each point  K,L,M,N,

Drawing must be parallel to , this arrow, AND , exactly the same length, as the arrow .

step 2.  when you drew it , then at the end are your new points, K",L",M",N".

Ok?

step 3.

Then you just read  the  coordinates.  of new  points .

I would gladly drew it ,  but I do not knew how to put picture  in  this , jet .

Step-by-step explanation:

Answer:

Step-by-step explanation:

2A. 3x=6 ⇒ x=2

2B. 3n=2(n-3) ⇒ 3n=2n-6 ⇒ n= -6

1. cross multiplication method

Answer:

912.9 miles total

Step-by-step explanation:

75.4 miles biking x 8 times =  603.2 miles in biking

22.4 miles running x 3 days =  67.2 miles in running

27.5 miles running x 5 days =  137.5 miles running (2nd)

15 miles swimming x 7 days =  105 miles swimming

603.2+67.2+137.5+105 =

912.9 miles total

Answer:

You must check the following boxes: whole number, integer, rational number, and real number.

Step-by-step explanation:

The answer to that expression is 3. It fits within the aforementioned boxes. Hope this helps; have a great day!

Answer:

EXCEPT IRRATIONAL NUMBER ALL ARE CORRECT.

SEE IMAGE FOR SOLUTION

Hope it helps

Have a great day

Answer:

92

Step-by-step explanation:

Interesting question.

The given angle is 1/2 the central angle. The central angle is equal to the minor arcEG.

So the central angle = 46 *2

The central angle = 92

ArcEG = 92

H can be anywhere on the major arc EG and the answer would be the same.

Answer:

El área y volumen del prisma cuadrangular mencionado son respectivamente:

Step-by-step explanation:

Para solucionar este ejercicio debes recordar que un prisma cuadrangular tiene como base y como superficie cuadrados, por lo tanto, para calcular el área de dicho cuadrado puedes utilizar la siguiente fórmula:

Ya que el ejercicio nos da el valor de la arista (4 metros), podemos reemplazarla en la ecuación y calcular:

Por último, para calcular el volumen debes multiplicar el área superficial, el área del cuadrado calculado, por la altura del prisma, cuyo valor dentro del enunciado es de 6 metros, de esta forma:

Como puedes ver tras los cálculos, el área superficial del prisma es de [tex]16m^{2}[/tex] y su volumen es [tex]96m^{3}[/tex].

There are 7 white cars, 16 blue cars,  14 red cars and 5 silver cars.

Two or more expressions with an Equal sign is called as Equation.

Let w represents white cars

b represent blue carr

r represents red cars

s represents silver cars

There were three times more silver colour cars than red cars

3s=r...(1)

There were 2 more blue cars than red and silver cars together

b+2=r+s..(2)

There were twice more white cars than red.

2w=r..(3)

42 cars altogether in the parking lot.

w+b+r+s=42

After solving the above equation we get

s=5, b=16, w=7 and r=14

Hence, there are 7 white cars, there are 16 blue cars, there are 14 red cars and 5 silver cars.

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If six different colors of paint are available, 360 ways can the knobs be painted.

A coat hanger has four knobs, and each knob can be painted any color. If six different colors of paint are available,

When examining permutations and combinations, we use factorials. Permutations tell us how many different ways we can arrange things if their order matters. Combinations tells us how many ways we can choose k item from n items if their order does not matter.

coat hanger has four knobs

6!  / 4! ( 4!)

6 * 5 * 4* 3 / 4 * 3 * 2* 1 (4 * 3 * 2 * 1)

= 30 * 1 2

=360

360 ways can the knobs be painted.

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The algebraic expression for the given sequence 1, 10, 19 as required to be determined is; a (n) = 1 + ( n - 1 ) 9.

As evident in the task content; it follows that the common difference of the given sequence is constant since; 19 - 10 = 10 - 1 = 9.

On this note, since the nth term of arithmetic sequences take the form;

a (n) = a (1) + ( n - 1 )d

Since the first term is; 1 and the common difference is; 9; the resulting algebraic expression is;

a (n) = 1 + (n - 1)9.

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The second row's third box AC = AC ( common side ) ( common side ) box last. Therefore, by applying the ABCD ASA congruence axiom.

Three sides, three angles, and three vertices make up the closed, two-dimensional shape of a triangle. Polygons include triangles. Triangle ABC is depicted in the above figure. Triangular polygons in geometry are those with three sides and three vertices. There are three straight sides to this two-dimensional figure. Three-sided polygons include triangles. A triangle's three angles add up to a full 180 degrees. A single plane contains the triangle. Triangulus, which means "three-cornered" or "having three angles," is a Latin word with roots in tri-, "three," and angulus, "angle or corner."

given

AB||DC , BC||AD

To show that

ΔABC≅ ΔCDA

First box

AB || DC (given )

below box to the first box

∠BAC = ∠DCA ( parallel lies cut by the transverse form congruent alternate interior angles )

Second box

BC||AD ( given )

Below box to the second box

∠DAC = ∠BCA ( parallel lies cut by the transversal form congruent alternate interior angles )

Third box in the second row

AC = AC ( common side )

Last box

So by using ASA congruence axiom

ΔABC ≅ΔCDA

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A quarter equals 0.25

You want to multipole the number of quarters you have by 0.25 to get the total value.

The equation would be V = 0.25n

The output would be V which is the dollar value of the number of quarters you have.

The independent value would be the input value (n) which is the number of quarters you have.

Answer:

24 different outcomes

Step-by-step explanation:

The answer is 24 different possible outcomes. Since there are 4 colors and 6 numbers. Multiply the 4 by 6 to get 24. Hope this helps

Answer:

Solution given:

<A=49°

<B=90°

angle ECD=?

we have

<A+<B+<C=180°[sum of interior angle of a triangle is 180°

<A+40+90=180°

<A=180°-130°

<A=50°

wehave

<A=<ECD[vertically opposite angle]

:.angle ECD=50°.

Answer:

The jump rope cost $8.79 before the sale.

Step-by-step explanation:

She spent 15.08 on 2 while they were on sale. I divided 15.08 by 2 to find what each one cost individually on sale, which is $7.54. Then add $1.25 to $7.54= $8.79

Answer:

Probably cash

Step-by-step explanation:

Because the other one would have your name and information on it and cash doesn't have any information or anything.

Answer:

credit

Step-by-step explanation:

because someone could take it hack into your account and steal your money with the information

Answer:

x = 4

Step-by-step explanation:

Given

[tex]\frac{7+2x}{3}[/tex] = 5 ( multiply both sides by 3 to clear the fraction )

7 + 2x = 15 ( subtract 7 from both sides )

2x = 8 ( divide both sides by 2 )

x = 4

Answer:

541

Step-by-step explanation:

if you have a 1 in the ones place and a 4 in the tens place and a 5 in the hundreds place this will be your number

The capacity to complete complex tasks quickly enough to make them useful is the main benefit of choosing a parallel algorithm over a sequential algorithm.

The differences between parallel algorithm and sequential algorithm are-

Sequential algorithm

Parallel algorithm

Due to capacity to complete complex tasks quickly enough to make them useful is the main benefit of choosing a parallel algorithm over a sequential algorithm.

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Bonnie will complete four laps before being passed by Annie because she runs an additional quarter lap for every lap she completes. This indicates that Annie and Bonnie are on an equal footing, and Annie must complete an additional lap to pass Bonnie. Annie will have completed five laps after that.

We can use the unitary method to calculate 100% of an amount. For instance, if 10% of the marbles in a pot are 35, then the total number of marbles in the pot will be 35 x 10%, or 350.

The unitary method can be used to calculate how many kilometres a car will travel on one litre of gas if it travels 44 km on two litres of fuel. In other words, the unitary method is the process by which we determine the value of a single unit and then use that information to determine the values of multiple units.

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9514 1404 393

Answer:

  a) 1,544,804,416

  b) 52,523,350,144

  c) 34

Step-by-step explanation:

(a) Each character position can be any of 24 letters or 10 digits, so any of 34 characters. The number of possible characters sets increases by a factor of 34 for each added character. A six-character plate will have ...

  34^6 = 1,544,804,416 . . . possibilities

__

(b) 34^7 = 52,523,350,144 . . . possibilities

__

(c) 34^7/34^6 = 34 . . . times as many