This figure represents the base of an aquarium that is 9 inches high.

What is the volume of the aquarium?


558 in³

612 in³

702 in³

810 in³

It takes the diver 5 s to reach the water.

These are mathematical equations in which the highest power of the unknown is 2 and in factored form are written as f(x) = (x -a)(x - b)

Since the Olympic divers height in feet above the water can be modeled by the function f(x) = -2(x-5)(x+1), where x is the time in seconds after he begins the dive.

The diver reaches the top of the water when f(x) = 0.

So, equating f(x) to zero, we have

f(x) = 0

-2(x-5)(x+1) = 0

Dividing through by -2, we have

(x-5)(x+1) = 0

So, (x - 5) = 0 or (x + 1) = 0

x = 5 or x = -1

Since time cannot be negative, x = 5 s.

So, it takes the diver 5 s to reach the water.

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Answer: 276 grams.

Step-by-step explanation:

Answer:

Hope this helps :-)

Step-by-step explanation:

Answer:

4b

Step-by-step explanation:

2b+3b-b-7+4+3

4b

I hope this answered it

Using proportions, it is found that the actual cost of each pineapple is of $2.12

A proportion is a fraction of a total amount.

In this problem, considering that the waste factor is of 15%, the total price should be of:

P = 0.85 x $14.95 = $12.7075.

For a case of 6 pineapples, hence the price of each is given by:

Pp = $12.7075/6 = $2.12.

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The actual cost of each pineapple with a waste factor of 15% is $12.71

An equation is an expression that shows the relationship between two or more numbers and variables.

The cost of one case of fresh pineapples is $14.95 and the calculated waste factor is 15 percent. Hence:

Actual cost = 14.95 - 15% of 14.95 = $12.71

The actual cost of each pineapple with a waste factor of 15% is $12.71

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Answer:

Radius: 8.5 inches

Area ≈ 226.98

Circumference ≈ 53.42

Step-by-step explanation:

2πr = formula for circumference of a circle

πr² = formula for area of a circle

radius of a circle = (1/2)d

Answer:

62

8.8

2.7

Step-by-step explanation:

that should be right. try that out

Answer:

62,8.8,2.8

Step-by-step explanation:

Answer: i'm pretty sure the base is 14cm, the height is 7cm, and the volume is 49 cm2

Step-by-step explanation:

for the base, i just added up 6cm and 8cm to get 14cm, the height was already 7cm, and for the volume, its (b*h)/2, since its a triangular 3d object, so  (7*14)/2=49cm2

Answer:

The answer is yes, because 2 × 10⁶ < 18,400,000, human can distinguish pixels on a same-sized HDTV.

Step-by-step explanation:

Step 1:2⋅10⋅10⋅10⋅10⋅10⋅10 = 20⋅10⋅10⋅10⋅10⋅10 = 200⋅10⋅10⋅10⋅10 = 2,000⋅10⋅10⋅10 = 20,000⋅10⋅10 = 200,000⋅10 = 2,000,000​Step 2:Because 2 × 10⁶ < 18,400,000, human can distinguish pixels on a same-sized HDTV.

Answer:

115.5

Step-by-step explanation:

area of the square: (20-7) x 7 = 13x7 = 91

area of triangle: 7x7 / 2 = 49/2 = 24.5

total area = 91+24.5

= 115.5 in

I'm not sure, but I'm guessing it's this.

Answer:

  360 inches

Step-by-step explanation:

Each foot is 12 inches. The number of inches in 30 feet is found by multiplying the number of inches in 1 foot by 30.

  30 × (12 inches) = 360 inches

Answer:

29 square root or 5.39

Step-by-step explanation:

Answer:

5.39 units.

Step-by-step explanation:

Distance = √(-8-(-3))^2 + (5-7)^2)

= √((-5)^2 + (-2)^2)

= √(25+ 4)

= √(29)

= 5.39.

Hey there!

Solving

3x - 4 = 5

Add 4 to both sides

3x - 4 + 4 = 5 + 4

3x = 9

x = 9/3

x = 3

Equivalent expressions are:

1. 3x = 9

2. 3x - 4 + 4 = 5 + 4

3. 4 = 5 - 3x

If you're confused about the last one

Solving

−4=5−3x

Step 1: Simplify both sides of the equation.

−4=5−3x

−4=5+−3x

−4=−3x+5

Step 2: Flip the equation.

−3x+5=−4

Step 3: Subtract 5 from both sides.

−3x+5−5=−4−5

−3x=−9

Step 4: Divide both sides by -3.

−3x/−3 = −9/−3

x=3 (Still the same answer)

Answer:

C

Step-by-step explanation:

First, let's work out the two triangles:

Area of triangle: bxh/2

2 x 8/2 = 8

Because there is two triangles multiply 8 by 2 = 16

To work out the area of the central rectangle:

Area of rectangle: l x w

3 x 8 = 24

Add 16+24 = 40 square feet

Answer:

3

Step-by-step explanation:

could the length of the first triangle to the length of the second triangle

Answer:

18,560

Step-by-step explanation:
3 percent *12800 =

(3:100)*12800 =

(3*12800):100 =

38400:100 = 384

384*15 = 5760
12800 + 5760 = 18560

Answer:

Answer will be: $123.25

Answer:

[tex]m\angle L = 100^{\circ}[/tex].

[tex]m\angle J = 80^{\circ}[/tex].

[tex]m\angle M = 100^{\circ}[/tex].

Step-by-step explanation:

Since segment [tex]JM[/tex] is parallel to segment [tex]KL[/tex], quadrilateral [tex]JKLM[/tex] is a trapezoid.

Segment [tex]JK[/tex] and segment [tex]LM[/tex] (the two legs of this trapezoid) are equal in length. Hence, trapezoid [tex]JKLM[/tex] would be an isoscele trapezoid. By symmetry, [tex]m\angle L = m \angle K = 100^{\circ}[/tex].

Line [tex]JK[/tex] traverses line [tex]JM[/tex] and line [tex]KL[/tex]. [tex]\angle J[/tex] and [tex]\angle K[/tex] are a pair of consecutive interior angles as they are both between [tex]JM\![/tex] and [tex]KL\![/tex] and are on the same side of the traversal, [tex]JK\![/tex].

Since line [tex]JM[/tex] is parallel to line [tex]KL[/tex], any pair of consecutive interior angles between these two lines would add up to [tex]180^{\circ}[/tex] (supplementary angles.) Thus, [tex]\angle J[/tex] and [tex]\angle K[/tex] are supplementary angles; [tex]m\angle J + m\angle K = 180^{\circ}[/tex].

Since [tex]m\angle K = 100^{\circ}[/tex], [tex]m\angle J = 180^{\circ} - m\angle K = 180^{\circ} - 100^{\circ} = 80^{\circ}[/tex].

144 feet squared

Squares are 4 sided shapes that have an equal length on each side.

Area Formula

The area of a square (or rectangle) is [tex]l*w[/tex], where [tex]l[/tex] is the length and [tex]w[/tex] is the width. Due to the fact that squares have four equal sides, the formula can be rewritten as [tex]l^2[/tex].

Solving For Area

Plug the length value into the formula.

Then, add the units to the answer. Because the length is multiplied by itself and the original unit is feet, the units are feet squared.

The solutions to the equation [tex]\rm (x + 2)^{2} - 2(x + 2) - 15 = 0[/tex] are 3 and -5.

To solve any equation is to find the solution of the given equation which satisfied the equation.

The given expression is [tex]\rm (x + 2)^{2} - 2(x + 2) - 15 = 0[/tex]

let u = (x +2)

then the equation becomes

[tex]\rm u^{2} - 2u - 15 = 0[/tex]

by factorizing, we get

(u + 3)(u - 5) = 0

u + 3 = 0, u = -3

u - 5 = 0, u = 5

Since, u = x + 2

So, x + 2 = 5, x = 3

x + 2 = -3, x = -5

Therefore, the solutions to the equation are 3 and -5.

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The percentage of cupcakes sold that day were mocha flavoured will be 57%.

The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.

Given that:-

The percentage will be calculated as:-

P  =  171  /  300

P =   0.57

P   = 0.57  x  100

P  = 57%

Therefore the percentage of cupcakes sold that day were mocha flavoured will be 57%.

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The figure can be divided into a triangle and a rectangle.

The area of a triangle is 10 sq inches.

The area of a rectangle is 80 sq inches.

The total area of the figure is 90 sq inches.

The area of a rectangle is the product of its length and width.

The perimeter of a rectangle is the sum of the lengths of all the sides.

The figure can be divided into a triangle and a rectangle.

The height of the triangle is 2 inches and the base is 10 inches.

We know the area of a triangle is (1/2)×base×heiht.

∴ Area = (1/2)×10×2 sq inches.

Area = 10 sq inches.

We know the area of a rectangle is length×width.

∴ Area = (10×8) sq inches.

Area = 80 sq inches.

The total area of the figure is (10 + 80) sq inches = 90 sq inches.

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Answer:

x = 5

Step-by-step explanation:

3x+5=20

Subtract 5 from both sides.

3x=20−5

Subtract 5 from 20 to get 15.

3x=15

Divide both sides by 3.

x= 15/3

​Divide 15 by 3 to get 5.

x=5

A rectangle with area of 12 square units would have sides of length 4 units and 3 units. Area would therefore be 4 x 5.

A rectangle must be such that one side is longer than the other side.

The area of a rectangle is found as:

= Length x Width

As the area is 12, the length and width have to be numbers that when multiplied, will give you 12.

The factors of 12 which allow this to happen are:

= 1, 2, 3, 4, 6, 12

From here you can use 3 and 4.

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Answer:

16

Step-by-step explanation:

Let's give letters as the image. Triangle ABH is a right triangle, so you can apply pythagoream theorem. In particular, it's the classic "3-4-5" triangle (there are some triplets of integers that gives you a right triangle, and 3-4-5 is the most famous). Either way, the height of the triangle is 4.

At that point you can compute the area by multiplying base and height, and the total surface is 16.

Answer:

B. X

Step-by-step explanation:

The variable is the unknown term.

This is represented by a letter.

In this case, the variable is "x".

So the answer is B.

Answer:225.25 or Mean

Step-by-step explanation: Put the sequence of numbers in order: 173,184,195,205,211,215,219,400

Cross of the end number each side until you have only 2 numbers:205,211

Add these numbers then divide them by 2: 205+211=416 416\2= 208

208 is the median

To find the mean is all of the numbers added together divided by the number of numbers: 173+205+195+215+219+184+211+400=1,802/8+225.25

Now compare the median:208 and the mean:225.25 to the sequence of numbers and see which one best describes the typical number of pages in the books. To do that you can subtract 173 from 400: 227

So the answer that's closest to 227 is 225.25.

I think anyway.

The mean and median of the given observation are 225.25 and 208 respectively and the value of the measure of the center would be 227 that best describes the typical number of pages in the books in this series.

Arithmetic mean is defined as the ratio of the sum of observations to the total number of observations. It can be referred to as the average of a specific set of data or the arithmetic mean.

The formula for the mean of a given set of data is as follows:

Mean = Sum of Observations/Total number of observations

Given the set of observations as :

173, 205, 195, 215, 219, 184, 211, and 400

Arrange the data in ascending order.

173, 184, 195, 205, 211, 215, 219, 400

Here n = 8 which is an even number

For finding the median we have to calculate the average of 205 and 211

Thus, the median is 208

When all the numbers are added up and divided by the total number of numbers, the mean is obtained:

⇒ 173 + 205 + 195 + 215 + 219 + 184 + 211 + 400

⇒ 1,802

⇒ mean = 1,802/8

⇒ mean = 225.25

In order to determine which figure accurately represents the median value of 208 to the mean value of 225.25.

To achieve it, divide 400 by 173, which equals 227.

Therefore, 225.25 is the answer that is closest to 227.

Hence, the mean and median of the given observation are 225.25 and 208 respectively and the value of the measure of the center would be 227 that best describes the typical number of pages in the books in this series.

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Answer:

its 60

Step-by-step explanation:

i took the test

Answer:

60

Step-by-step explanation:

just took the test !!! got 100%

The gecko is about 10⁵ times bigger than the mite in length.

An equation is an expression that shows the relationship between two or more numbers and variables.

1 cm = 10 ml

The dust mite measures 10⁻³ ml. The gecko measures 10 cm

Length of gecko = 10 cm = 10 cm * 10 ml per cm = 100 ml

Magnitude of gecko to mite = 100 ml / 10⁻³ ml = 10⁵

The gecko is about 10⁵ times bigger than the mite in length.

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Answer:

it is 5

Step-by-step explanation:

Answer:

el menor es -4 :) porque entre más izquierda esté el número en la recta menor es (ejemplo en la foto). negativos siempre son menor que positivos :D