6 A cube has a surface area of 54 mm². The length of its sides is: A 3 mm B 4 mm C 5
mm D 6 mm E 7 mm

Answers

Answer 1

Answer:

A

Step-by-step explanation:

A cube has 6 square faces

given surface area = 54 mm² , then

area of one face = 54 mm² ÷ 6 = 9 mm²

the area (A) of a square is calculated as

A = s² ( s is the side length ) , so

s² = 9 ( take square root of both sides )

s = [tex]\sqrt{9}[/tex] = 3 mm


Related Questions

Quadrilateral ABCD has the following coordinates: A(-6,3) B(-4,5) C(-1,6) and D(-3,2) and
maps onto A"B"C"D". It will undergo transformations that will consist of a reflection over
the y-axis followed by a translation. Point D" is shown plotted in the plane after the
transformation.

A) Write the translation rule that maps point D' to point D".

B) Write the coordinates of point A"

Answers

The translation rule that maps point D' to D" is (x + 3, y) and  the coordinate of point A" is (9,3)

How to determine the translation rule?

The coordinates are given as:

A(-6,3) B(-4,5) C(-1,6) and D(-3,2)

When reflected across the y-axis, the transformation rule is:

(x,y) -> (-x,y)

So, we have:

A' = (6,3)

D' = (3,2)

Point D" on the grid is (6,2).

This means that the translation rule that maps both point is (x + 3, y)

The coordinates of point A

In (a), we have:

A' = (6,3)

Using the translation rule (x + 3, y), we have:

A" = (6 + 3,3)

A" = (9,3)

Hence, the coordinate of point A" is (9,3)

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Find perimeter of this square with sides of length 5 cm

Answers

Answer:

P = 20 cm

Step-by-step explanation:

the perimeter (P) is the sum of the 4 sides (s)  of the square

the sides of a square are congruent , then

P = 4s = 4 × 5 = 20 cm

In a statistics activity, students are asked to determine the proportion of times that a spinning penny will land with tails up. the students are instructed to spin the penny 10 times and record the number of times the penny lands tails up. for one student, it lands tails side up six times. the student will construct a 90% confidence interval for the true proportion of tails up. are the conditions for inference met?

Answers

Using the Central Limit Theorem, it is found that the conditions for inference are not met, as there are less than 10 successes and less than 10 failures.

What does the Central Limit Theorem state?

It states that for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].

In this problem, we have that np = 6 < 10, n(1-p) = 4 < 10, hence the conditions for inference are not met.

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I will choose brainlyist and 20 POINTS

Answers

Answer:

They are all non triangles, but I'm not in your math class, so I don't know.

Step-by-step explanation:

how can i find area of abd triangle. .............​

Answers

Answer:

  6 square units

Step-by-step explanation:

The attachment shows the figure redrawn to scale, along with helpful semicircle O with diameter EB. Trig relations can be used to find the area of triangle ADB. The relation between an inscribed angle and its corresponding central angle is also helpful.

__

angles

Any right triangle can be inscribed in a semicircle whose diameter is the hypotenuse. Accordingly, we have constructed semicircle O whose center is the midpoint of EB. Hence its radius is EB/2 = 4/2 = 2.

Then angle EBD is an inscribed angle, hence half the measure of central angle EOD. Since ∠EOD is double the measure of ∠EBD, it is congruent to ∠EBC, which is also double the measure of ∠EBD. We have called the measure of this double angle θ. Its complement is the angle marked β.

segments

The fact that angles EOD and EBC are congruent means that segments OD and BC are parallel. Segment BC is the altitude of ΔADB with respect to base AD.

The tangent ratio is ...

  Tan = Opposite/Adjacent

Applying that to angle β, we have

  tan(β) = OD/AD   [eqn 1]

  tan(β) = BC/AC   [eqn 2]

These two relations can be solved for the measures of AD and BC, which we need in order to find the area of ΔADB.

area

Equation [eqn 1] tells us ...

  AD = OD/tan(β)

Equation [eqn 2] tells us ...

  BC = AC·tan(β)

The area of ΔADB is ...

  Area = 1/2bh

  Area = 1/2(AD)(BC) = 1/2(OD/tan(β))·(AC·tan(β))

  Area = 1/2(OD)(AC) . . . . . . factors tan(β) cancel

The length of AC is given as 6, and we know OD = 2, so the area is ...

  Area = 1/2(2)(6) = 6

The area of triangle ADB is 6 square units.

Kelly made fruit punch to serve at a party for her chess team. She mixed 1
2/5
liters of cranberry juice and 1
3/5
liters of pineapple juice together. Then, she split the fruit punch evenly among 9 glasses. How much fruit punch did Kelly pour into each glass?

Answers

Answer:

1/3 liters. or 33.33333 ml

Step-by-step explanation:

1 2/5 + 1 3/5 = 3

3 liters of juice is there.

3 liters of juice/9 glasses.

1/3 liters of juice is in every glass

A cylindrical container is packaged inside a prism-shaped box. the box has a volume of 96 cubic units. if the container has a diameter of 4 units and a height of 6 units, what is the volume of the empty space between the cylinder and the box? round the answer to two decimal places. a. 20.60 cubic units b. 37.77 cubic units c. 51.27 cubic units d. 75.40 cubic units

Answers

Volume is a three-dimensional scalar quantity. The volume of the empty space is 20.602 units³.

What is volume?

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

Given the volume of the prism, the box is 96 units³ and the diameter of the cylindrical container is 4 units(Radius=2 units), while the height of the cylinder is 6 units. Therefore, The volume of the empty space is,

The volume of the empty space

= Volume of prism - Volume of the cylindrical container

= 96 units³ - (π×2²×6) units³

= 96 units³ - 75.398 units³

= 20.602 units³

Hence, the volume of the empty space is 20.602 units³.

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Choose the expression that represents a linear expression.
6x + 6
O-6x² +8x-9
O8x3 + 9x² - 10x + 11
07x4-8x³+9x² - 10x + 11
Question 3(Multiple Choice Worth 1 points)
(06.01 LC)

Answers

Answer:

6x+6

Step-by-step explanation:

a linear expression has no power attached to the x (the unknown)

Please help me thank you :3

Answers

Quadrilaterals are angles that has 4 sides and angles.  The measure of the angle m<SPQ is 110 degrees

Angles in a quadrilateral

Quadrilaterals are angles that has 4 sides and angles. The given quadrilateral is a rhombus with equal opposite sides.

Given the following angles

m<SPR = 2x + 15

m<QPR = 3x - 5

From the figure

m<SPR = m<QPR

Substitute

2x+ 15 = 3x - 5

2x - 3x = -5 - 15

x = 20

Determine the measure of <SPQ
m<SPQ = 3x - 5 +2x +15

m<SPQ = 5x + 10
m<SPQ =5(20) + 10
m<SPQ = 110 degrees

Hence the measure of the angle m<SPQ is 110 degrees

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A rectangle is 21 meters long and 11 meters wide. what is the perimeter of this rectangle?

Answers

Step-by-step explanation:

the perimeter is simply the distance you would have to walk when going around the whole object once.

so, you would go a length, a width, another length and another width, until you are finally arriving back at the starting point.

so, the perimeter of a rectangle is

2×length + 2×width = 2×21 × 2×11 = 42 + 22 = 64 m

What is the phenotypic ratio of the offspring? 1:1:1:1:2:2:2:2:4 1:3:3:9 1:4 4:12

Answers

The phenotypic ratio of the offspring as shown in the given Punnett square is: 1:3:3:9.

What is Phenotypic Ratio?

Phenotypic ratio is quantitative relation of the number of offspring of a cross that manifest a certain combination of traits or characteristic.

From the Punnett square given, there are:

9 round and yellow individuals3 round and green individuals3 wrinkled and yellow individuals1 wrinkled and green individuals

Therefore, the phenotypic ratio would be: 1:3:3:9.

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Answer:

B it the answer 1:3:3:9

Step-by-step explanation:

I need to know how to solve this

Answers

Answer:

K=-6/11

Step-by-step explanation:

3(k/3+4-2k)=3(-9k)

K+12-6k=-27k

12-5k=-27k

12=-22k

K=-6/11

A number cube is rolled 15 times how many times would you expect a number less than 3 to be rolled

Answers

Answer:

45

Step-by-step explanation:

how many number you rolled 3 times how many times its rolled 15 x 3 +45

Therefore,the answer would be 45

Slope of (-9,-2) and (-9,-6)

Answers

Answer:

Slope is undefined.

Step-by-step explanation:

Points a and b lie on a circle centered at point o. if oa = 5 and what is the area of sector aob? use the value π = 3.14, and choose the closest answer. a. 19.6 square units b. 39.3 square units c. 7.85 square units d. 15.7 square units

Answers

The area of sector AOB  whose radius OA 5 units is 19.6 sq. units.

What is the Sector?

A sector is a portion of a circle which is enclosed between its two radii and the arc adjoining them. The most common sector of a circle is a semi-circle which represents half of a circle.

Here, Radius of Circle = 5 units

         length of arc AB / circumference = 1/4

        So, Area of Sector AOB = one fourth of area of circle

                                                  = 1/4 X π X r²

                                                 = 0.25 X 3.14 X 5²

                                                 = 0.25 X 3.14 X 25

                                                 = 19.625 sq. units

Thus, the area of sector AOB  whose radius OA 5 units is 19.6 sq. units.

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Answer:

19.6

Step-by-step explanation:

The troupe’s account balance first reached $500 on Day 4. The last day the account balance was $500 was
Day 8.
(a) Determine C(5), C(6), and C(7). Explain how you determined these amounts.
(b) Estimate C(1), C(2), and C(3). Explain how you determined these amounts.
(c) The stage manager said that the amount of money taken out of the account each day between Day 8
and Day 11 was the same amount of money put into the account each day between Day 0 and Day 4.
Recall that Day 11 is when the balance first reached $0. Without doing any calculations, how could
you show the stage manager was incorrect?

Answers

Answer:

The answer is c, hope this helps

Step-by-step explanation:

Factorise completely 12 x³y - 18 xy²​

Answers

Answer:

6xy(2x²-3y)

Step-by-step explanation:

factorized completely

The diagram shows a regular polygon.
x
What is the value of x?
Write your answer as an integer or as a decimal rounded to the nearest tenth.

Answers

Answer:

To find the value of x, use the formula

(n-2) x 180,  where n is the number of sides.

In this case, we have a TRIangle, which has THREE sides.

So, n=3

(3-2) x 180

1 x 180

180

If the total sum of the angles  is 180, then  the  measure of one angle would be 180 divided by 3, which is 60.

Let me know if this helps, or if you got any more questions

An mp3 player was reduced from $229.99 to $129.99. find the percent reduction in price. round the answer to the nearest tenth of a percent, if necessary.

Answers

Answer:

43.4%

Step-by-step explanation:

229.99 - 129.99

= 100

The percent reduction is:

100/229.99 * 100

=43.4%

Help!! Also the questions says “Which of the following shows JUST a variable?”

Answers

The answer is (g)

Variables are letters that represent unknown numbers
It can be any letter if the alphabet (a,b,c,d…..)
The others are what we call an (expression )which is basically when we put variables with other numbers

If a baseball player hits 10 home runs in the first 45 game, at the same rate how many home runs can he expect to hit during the 162 game season

Answers

Using proportions, it is found that he can be expected to hit 36 home runs during the 162 game season.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, the player hits 10 home runs in 45 games, hence the proportion is:

p = 10/45.

Then, in 162 games, the amount is:

HR = 10/45 x 162 = 36.

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The volume of air in a balloon is represented by the function v(r)=4/3 pi ^3, where r is the radius of the balloon, in
inches. The radius of the balloon increases with time, in seconds, by the function r(t) = 1².
Write a composite function that can be used to determine the volume of the balloon after t seconds. Then, select the
two true statements.

Answers

It is true for multiple reasons

A coffee table is on sale for 20% off the original price of $115. If there is 7.5% sales tax, what is the final price of the coffee table?

Answers

Answer:

The final price for the coffee table is $98.9.

Step-by-step explanation:

1. First, is to convert the percentage to decimal form

We can do this by changing 7.5% to decimal number by dividing 7.5 by 100, we get:

\frac{7.5}{100}

100

7.5

= 0.0750.075

2. Then multiply 0.075 to the original price of $115

0.075(115) = 8.625

Then, add 8.625 to the original price of $115, we get:

115 + 8.625 = $123.625

3. After this, we subtract the 20% discount to $123.625

We can do this by converting 20% to decimal form, we get:

\frac{20}{100}

100

20

= 0.20.2

Then, multiply $123.625 by 0.2, we get:

123.625(0.2) = $24.725

4. Then subtract 24.725 from $123.625, we get:

123.625 -123.625−24.725 = $98.9

Final price of the table coffee which is on sale by 20% with a sales tax of 7.5% is $98.9.

The slope of a line is 7/8 The y-intercept of the same line is 4
Complete the slope-intercept form equation

Answers

Answer:

y = -7/8x + 4

Step-by-step explanation:

Slope-intercept form :

y = mx + b

m = slopeb = y-intercept

Hence, the equation formed is :

y = -7/8x + 4

find the altitude of a kite where 120 feet of string makes a 64 degree angle to the ground

Answers

Answer:

107.86 to 2 d.p.

Step-by-step explanation:

makes a triangle. 120 feet is the hypotenuse.

we want to find the opposite so we will use sine.

sin(x) = opp/hyp which means opp = sin(x)hyp.

opp = sin(64)120

opp = 107.86 to 2d.p.

What is the length of the diagonal from vertex J to vertex L in the quadrilateral below?

Answers

Answer: 6.7 units for the diagonal from J to L

Step-by-step explanation:

you can use the Pythagorean theorem to find the diagonal (hypotenuse)

a^2 + b^2 = c^2

by counting units from M to J you have a length of 3 for the "a" value

by counting units from M to L you have a length of 6 for the "b" value

3^2 + 6^2 = c^2

9 + 36 = c^2

45 = c^2

take square root of both sides

6.7 = c

the diagonal is 6.7 units

the diagram shows a sector of a circle radius 10cm
calculate the perimeter of the sector
give answer to 1 decimal place

Answers

Answer:

[tex]\text{Perimeter of sector = 43.6 (Rounded to the nearest tenth.)}[/tex]

Step-by-step explanation:

[tex]\text{Perimeter of the sector = Radius + arc length + radius}[/tex]

[tex]\text{Radius = 10 cm}[/tex]

[tex]\text{Perimeter of the sector = 10 + arc length + 10 }[/tex]

 [tex]\text{Perimeter of the sector = 20 + arc length }[/tex]

[tex]\text{arc length = (sector angle/ 360 ) * perimeter of the circle}[/tex]

[tex]\text{Perimeter of a circle }=2\pi r[/tex]

[tex]\text{sector angle} = 135[/tex]

[tex]\text{arc length} = (135/ 360 ) * 2\pi (10)[/tex]

[tex]= (3/8) 20\pi[/tex]

[tex]= 15\pi /2[/tex]

[tex]\text{Using }\pi =3.14[/tex]

[tex]= 15 * 3.14 /2[/tex]

[tex]= 23.55[/tex]

[tex]\text{Perimeter of the sector = 20 + 23.55}[/tex]

[tex]= 43.55[/tex]

[tex]= 43.6 cm[/tex]

[tex]\text{perimeter of the sector = 43.6 cm }[/tex]

Which point is one fourth of the way between point A and point B on the line segment AB shown on the coordinate plane below?

Answers

The coordinate of the point between point A and point B on the line segment AB is [tex](\frac 92, -\frac{19}4)[/tex]

How to determine the point?

The points are given as:

A = (4,-5)

B = (6,-4)

m : n = 1 : 3

The coordinate of the point is then calculated using:

[tex]P = \frac{1}{m + n}(mx_2 + nx_1,my_2 + ny_1)[/tex]

So, we have:

[tex]P = \frac{1}{1 + 3}(1 * 6 + 3 * 4, 1 * -4 + 3 * -5)[/tex]

Evaluate the sum of product

[tex]P = \frac{1}{4}(18, -19)[/tex]

Evaluate the product

[tex]P = (\frac 92, -\frac{19}4)[/tex]

Hence, the coordinate of the point is [tex](\frac 92, -\frac{19}4)[/tex]

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represent the sum of 3/4 and -5/8 is ???

Answers

3/4 + -5/8

---Find a common denominator

6/8 + -5/8

---Simplify

1/8

Hope this helps!

Answer:

3/4 + -5/8 = 1/8

Step-by-step explanation:

When adding fractions, you always need to find a common denominator. 4 and 8 share a common denominator of 8.

You multiply 3/4 by 2/2 and get 6/8.

When adding negative numbers, it is the same as subtracting.

6/8  + (-5/8)  =

6/8 - 5/8 = 1/8

So 1/8 is the answer.

I hope this helps!

what is the distance from (7,0)- (-5,5)

Answers

Answer:

[tex]\frac{5}{-12}[/tex]

Step-by-step explanation:

If you use the formula [tex]m = \frac{y2 - y1} {x2 - x1}[/tex] with x1 being 7, y1 being 0, -5 being x2 and 5 being y2, then you can subtract. 5(y2) minus 0(y1) is 5, and -5(x2) minus 7(x1) is -12. The formula would look like this: [tex]m = \frac{5 - 0}{-5 - 7} \frac{5}{-12}[/tex].

(tip: you need to do rise over run, aka y over x, shown as [tex]\frac{y}{x}[/tex] or [tex]\frac{rise}{run}[/tex])

I hope I helped you answer your question, and helped better understand it as well

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