Three equal-sized cardboard boxes are stacked on top of each other. Each box is 56.4 cm in height. What is the combined height of the 3 stacked boxes? 18.8 cm 59.4 cm 112.8 cm 169.2 cm

Answer:

π (Pi) is a mathematical constant.

Step-by-step explanation:

The digit π is a mathematical constant. It is interpreted as the ratio of a circle's perimeter to its diameter, and it also has various equivalent definitions. It appears in many formulas in all areas of mathematics and physics. It is roughly identical to 3.14159.

Answer:

∠B = 76°

Step-by-step explanation:

Supplementary angles add up to 180 degrees, so we know that angles A and B add up to 180.

We can set up an equation and solve for x:

(x + 15) + (x - 13) = 180

Add like terms:

2x + 2 = 180

2x = 178

x = 89

Now, we can plug in 89 as x to find the measure of angle B:

x - 13

89 - 13

= 76

= 76°

Answer:

29

Step-by-step explanation:

Given the function f(x) = x/10x-3, if x = 0.30103;

substituting the value of x into the function;

f(0.30103) = 0.30103/10(0.30103) - 3

f(0.30103) = 0.30103/(3.0103 - 3)

f(0.30103) = 0.30103/0.0103

f(0.30103) = 29.226

f(0.30103) = 29 (to nearest whole number).

Answer:

Ok, first we have the relation:

Speed = Distance/Time.

Here we have:

Distance = 24m

Time = 87 mins

Speed = 24m/87mins = 0.279 m/min.

Now, in 6 minutes, the distance moved will be (remember that the movement is downwards)

D(6min) = (0.279m/min)*6min = 1.66 m.

So in 6 minutes, it moves 1.66 meters down, if the initial position is 10m above the ground, then the position after 6 minutes is:

10m - 1.66m = 8.34m above the ground.

And after 70 minutes, the distance moved is:

D(70min) =  (0.279m/min)*70min = 19.53m

Again, the initial position is 10m above the ground, so after 70 minutes the position is:

10m - 19.53m = -9.53m

So after 70 minutes, the position is 9.53 meters under the ground.

The lift will go 2.76m deep from the surface after 70 mins.

The lift moves down 24m in 87 minutes.

The speed of an object that covers 'd' distance in 't' time is d/t.

So, speed of the lift = 24/87 = 3/29m/min

Distance covered in 6 minutes = 6 * 3/29 = 18/29 m

So, if initially lift is at the surface of the earth, it will go 18/29m below the surface.

Distance covered in 70 minutes = 70* 3/29 =210/29m

So, if the initially lift is at 10 m height, it will go (10-210/29) = -80/29 or 2.76m below the surface of the earth.

Therefore, the lift will go 2.76m deep from the surface after 70 mins.

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Answer:

384 square m

Step-by-step explanation:

As per description given in the question, the field is of parallelogram shape. Diagonal divides the parallelogram in two triangles

So, area of field = area of triangle 1 + area of triangle 2

Area of field

= 1/2*32 * 10 + 1/2 * 32 * 14

= 32* 5 + 32 * 7

= 32(5 + 7)

= 32 * 12

= 384 square m

Answer:

x= -2

Step-by-step explanation:

3(2x-4)= -24

expand

6x-12= -24

6x= -24+12

6x= -12

x= -12/6

x= -2

Answer:

x=-2

Step-by-step explanation:

To solve the equation, we must get x isolated on one side of the equation.

[tex]3(2x-4) = -24[/tex]

3 is being multiplied by 2x -4. The inverse of multiplication is division. Divide both sides of the equation by 3.

[tex]\frac{3(2x-4)}{3} = -\frac{24}{3}[/tex]

[tex](2x-4)= -\frac{24}{3}[/tex]

[tex](2x-4)= -8[/tex]

4 is being subtracted from 2x. The inverse of subtraction is addition. Add 4 to both sides of the equation.

[tex]2x-4 +4 = -8+4[/tex]

[tex]2x= -8+4[/tex]

[tex]2x= -4[/tex]

x is being multiplied by 2. The inverse of multiplication is division. Divide both sides by 2.

[tex]\frac{2x}{2} =\frac{-4}{2}[/tex]

[tex]x=\frac{-4}{2}[/tex]

[tex]x= -2[/tex]

Let's check our solution. Plug -2 in for x and solve.

[tex]3(2x-4)= -24[/tex]

[tex]3(2(-2)-4)= -24[/tex]

[tex]3(-4-4) = -24[/tex]

[tex]3(-8)= -24[/tex]

[tex]-24=-24[/tex]

The statement above is true, so we know our solution is correct.

The answer to the equation is x= -2.

Answer:

there must be at least two lines on any plane because a plane is defined by 3 non-collinear points.

Step-by-step explanation:

Answer:

15/26

Step-by-step explanation:

There are 52 cards in a deck. A deck of cards contains 4 queen cards and 26 red cards. 30/52 simplified is 15/26.

Answer:

28/52, simplified is 14/26. The latter is the answer the questionnaire is probably looking for but if a human is marking it it doesn't hurt to write both.

Step-by-step explanation:

There are 26 cards that are red in a deck, plus 4 queens, minus the 2 queens that are already red.

Answer:

14

Step-by-step explanation:

Simplify the following:

5 - 2×9 + 9^2/3

Hint: | Evaluate 9^2.

9^2 = 81:

5 - 2×9 + 81/3

Hint: | Reduce 81/3 to lowest terms. Start by finding the GCD of 81 and 3.

The gcd of 81 and 3 is 3, so 81/3 = (3×27)/(3×1) = 3/3×27 = 27:

5 - 2×9 + 27

Hint: | Multiply -2 and 9 together.

-2×9 = -18:

5 + -18 + 27

Hint: | Evaluate 5 + 27 using long addition.

| 1 |  

| 2 | 7

+ | | 5

| 3 | 2:

32 - 18

Hint: | Subtract 18 from 32.

| 2 | 12

| 3 | 2

- | 1 | 8

| 1 | 4:

Answer: 14

Answer:

10

Step-by-step explanation:

Let the total number of poodles = [tex]x[/tex]

Let the total number of show dogs = [tex]y[/tex]

[tex]\frac{1}{4}[/tex] of the poodles are show dogs

and

[tex]\frac{1}{7}[/tex]  of the show dogs are poodles

[tex]\therefore \dfrac{1}{4}x = \dfrac{1}{7} y[/tex]

As per the question statement, [tex]x[/tex] must be divisible by 4 and

[tex]y[/tex] must be divisible by 7.

And we have to find the least number of dogs.

So, least number divisible by 4 = 4 and

Least number divisible by 7 = 7

So, least values of [tex]x[/tex] i.e. poodles = 4 in which we have 1 show dog

Hence, 3 are not show dogs.

and least value of show dogs i.e. [tex]y[/tex] = 7 (it includes the one poodle which is also show dog).

So, least number of dogs at the fair = 7 + 3 = 10

Answer:

Option C is the correct option.

Step-by-step explanation:

For ABD

[tex] \sf{ = \frac{2.89 + 8.59 + 8.6}{2} }[/tex]

[tex] \sf{ = \frac{20.08}{2} }[/tex]

[tex] \sf{ = 10.04}[/tex]

∆ ABD = [tex] \sf{ = \sqrt{10.04(10.04 - 2.89)(10.04 - 8.59)(10.04 - 8.6)} }[/tex]

[tex] \sf{ = \sqrt{10.04 \times 7.15 \times 1.45 \times 1.44 }}[/tex]

[tex] \sf{ = \sqrt{149.8891} }[/tex]

[tex] \sf{ = 12.2429}[/tex]

For ∆ ACD ,

[tex] \sf{s = \frac{8.6 + 4.3 + 7.58}{2} }[/tex]

[tex] \sf{ = \frac{20.48}{2} }[/tex]

[tex] \sf{ = 10.24}[/tex]

∆ ACD = [tex] \sf{ = \sqrt{10.24(10.24 - 8.6)(10.24 - 4.3)(10.24 - 7.58} }[/tex]

[tex] \sf{ \sqrt{10.24 \times 1.64 \times 5.94 \times 2.66} }[/tex]

[tex] \sf{ = \sqrt{265.3456} }[/tex]

[tex] \sf{ = 16.2894}[/tex]

Area of quadrilateral ABCD = [tex] \sf{12.2429 + 16.2894}[/tex]

[tex] \sf{ = 28.5323}[/tex]

[tex] \sf{ = 28.53}[/tex] units ²

Hope I helped!

Best regards!

Answer:

2000-1200+111

2000-1311

689 ans.

Step-by-step explanation:

by bodmas ( bracket,of,divide, multiplication, addition, substract )

so, first we'll multiply

3x400=1200

so,

2000-1200+111

second , we'll add

1200+111 = 1311

so,

2000-1311

third , at last we'll subtract

2000-1311 = 689

so,

Ans. 689

hope the ans. is correct :)

Answer:

To form the converse of the conditional statement, interchange the hypothesis and the conclusion. The converse of "If it rains, then they cancel school" is "If they cancel school, then it rains." To form the inverse of the conditional statement, take the negation of both the hypothesis and the conclusion.

Answer:

[tex]a^{m-n}[/tex]

Step-by-step explanation:

If we have the expression [tex]m^a \div m^n[/tex], we can use exponent rules to simplify this.

Exponent rules say that [tex]x^a \div x^b = x^{a-b}[/tex]. In this case, x is a, a is m and b is n, so the same rule applied here.

So  [tex]a^m \div a^n[/tex] will be equal to [tex]a^{m-n}[/tex].

Hope this helped!

Answer: B)

Step-by-step explanation:

THEY TELL THE RELATIVE AGE OF THE ROCK IN WHICH THEY OCCUR.

Answer:

boys: total

3          8

Step-by-step explanation:

boys:girls: total

9    :  15   :  9+15

9        15      24

Divide each by 3

3         5        8

We want the ratio of boy to total

boys: total

3          8

Answer: x' = x - 2yd.

Step-by-step explanation:

When we have a function:

y = g(x)

A translation to the east (in this case the positive x-axis) of N units.

is written as:

y = h(x) = g(x - N)

then if in the beginning our variable was x, afther the translation the variable will be x - N.

Now in this case we have a translation of 2yd to the right (to the east)

Then our new variable, let's call it x', will be:

x' = x - 2yd.

Answer:

A translation of two yards east involves moving 2 units in the positive x-direction. Given any initial x-coordinate, x, the algebraic expression that represents the new x-coordinate after the translation is x + 2.

Step-by-step explanation:

Edementum answer.

Answer:

v = 20 m /s

Step-by-step explanation:

v = 72 km / h

72 / 3.6

20

v = 20 m /s

221 is rational since 221 = 221/1

So is 331 because 331 = 331/1

The product of any two rational numbers is also rational

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

Proof:

Let x = p/q and y = r/s be two rational numbers. The q and s values are nonzero.

Their product is

x*y = (p/q)*(r/s)

x*y = (p*q)/(r*s)

which is a ratio of two integers pq and rs, so (p*q)/(r*s) is rational

Answer:

b.15 inches

Step-by-step explanation:

subtract 12 (2 6inch sides) from the perimeter

get 30 and divide by 2 to get 2 sides

Answer:

B. 15 inches.

Step-by-step explanation:

A rectangle shares two pairs of congruent opposite sides.

Perimeter = 42

Let:

the length of the rectangle = l

the width of the rectangle = w = 6

Perimeter = l + l + w + w

Plug in 42 for perimeter &  6 for w in the equation:

42 = l + l + 6 + 6

Combine like terms:

42 = ( l + l ) + (6 + 6)

42 = 2l + 12

Next, isolate the variable, l. Do the opposite of PEMDAS.  First, subtract 12 from both sides:

42 (-12) = 2l + 12 (-12)

42 - 12 = 2l

30 = 2l

Next, divide 2 from both sides:

(30)/2 = (2l)/2

l = 30/2

l = 15

B. 15 inches is the length of the rectangle.

Check:

l + l + w + w = 42

15 + 15 + 6 + 6 = 42

30 + 12 = 42

42 = 42 (True).

~

Answer:

20%

Step-by-step explanation:

Step 1: Find the decrease in consumption

10kg - 8kg = 2kg

So the family decrease their consumption of sugar by 2kg

Step 2: We have to find what percent did the family reduce their sugar consumption

We can divide how much they reduced by with the original amount

2kg/10kg = 1/5 kg or 20%

Therefore the family reduced the consumption of sugar by 20$

Answer:

P(t) = A * (1 + r)^t ;

14,922 ;

Year 2013

Step-by-step explanation:

Given the following :

Continuous growth rate(r) = 5% = 0.05

Population in year 2000 = Initial population (A) = 10,100

Time(t) = period (years since year 2000)

A)

Find a function that models the population,P(t) , after (t) years since year 2000 (i.e. t= 0 for the year 2000).

P(t) = A * (1 + r)^t

Trying out our function for t = year 2000, t =0

P(0) = 10,100 * (1 + 0.05)^0

P(0) = 10,100 * 1.05^0 = 10,100

B.)

Use your function from part (a) to estimate the fox population in the year 2008.

Year 2008, t = 8

P(8) = 10,100 * (1 + 0.05)^8

P(8) = 10,100 * 1. 05^8

P(8) = 10,100 * 1.4774554437890625

= 14922.29

= 14,922

c) Use your function to estimate the year when the fox population will reach over 18,400 foxes. Round t to the nearest whole year, then state the year.

P(t) = A * (1 + r)^t

18400 = 10,100 * (1.05)^t

18400/10100 = 1.05^t

1.8217821 = 1.05^t

1.05^t = 1.8217821

In(1.05^t) = ln(1.8217821)

0.0487901 * t = 0.5998151

t = 0.5998151 / 0.0487901

t = 12.293787

Therefore eit will take 13 years

2000 + 13 = 2013

Answer:

-3/2.

Step-by-step explanation:

0.5 = 1/2

-1.5 = -1 1/2

= -3/2.

- 1.5 = - 15/10

- 15⁽⁵/10 = - 3/2

- ²⁾15/10 = - 30/20

- ³⁾15/10 = - 45/30

etc

We have,

Finding time taken by the man,

⇛ Average speed = Total Distance/Total time

⇛ Total time = Total Distance/Average speed[tex].[/tex]

⇛ Total time = 325 km/50 km/h

⇛ Total time = 6.5 h (6 hrs 30 mins)

(a) Total Time duration,

⇛ Total Time = Reaching Time - Departing time

⇛ 6.5 h = Reaching Time - 10 : 45 hours

⇛ Reaching Time = 17 : 15 hours ( 5 : 15 pm)

(b) Finding time taken in return,

Total time duration,

⇛ Total Time = Reaching Time - Departing time

⇛ Total Time = 23 : 10 hours - 18 : 35 hours

⇛ Total Time = 22 : 70 hours - 18 : 35 hours

⇛ Total time = 4 : 35 hours

☕ Hence, solved !!

━━━━━━━━━━━━━━━━━━━━

Answer:

The measure of [tex]x_{w}[/tex] is 4 units.

Step-by-step explanation:

According to the definition of tangent, it is equal to:

[tex]\tan f = \frac{y_{w}}{x_{w}}[/tex]

Where:

[tex]f[/tex] - Angle, measured in sexagesimal degrees.

[tex]x_{w}[/tex] - Adjacent side, measured in units.

[tex]y_{w}[/tex] - Opposite side, measured in units.

If [tex]\tan f = \frac{2}{1}[/tex] and [tex]y_{w} = 8\,units[/tex], the adjacent side is:

[tex]x_{w} = \frac{y_{w}}{\tan f}[/tex]

[tex]x_{w} = \frac{8\,units}{\frac{2}{1} }[/tex]

[tex]x_{w} = 4\,units[/tex]

The measure of [tex]x_{w}[/tex] is 4 units.

The  measure of xw is 4 units

Given the following parameters

Tan fº = 2/1

This shows that;

Opposite side YW = 2

Adjacent side XW = 1

Given that YW is  8units, using the ratio of similar sides

2/1 = 8/XW

2XW = 8

XW = 4

Hence the  measure of xw is 4 units

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Answer:

Step-by-step explanation:

Write a list of all possible outcomes

1-2

1-3

1-4

2-1

2-3

2-4

3-1

3-2

3-4

4-1

4-2

4-3

There are 12 possible outcomes. How many of them have totals of 6 or 7

I count 4

So the probability is 4/12 = 1/3, just as you said.

Is there an easier way?

You might be able to get the 12 easier.

You have 4 choices for the first number and 3 for the second.

P(12) = 4*3 = 12

Getting 6 or 7 might be somewhat trickier.

4 and 3 make seven. That gives two ways 4-3 and 3-4

4 and 2 make six. That gives 2 more ways 4-2 and 2-4

That's all that's possible.

answer: 4 ways make success. The total number of ways is 12.