A prism with a square base has a volume of 96 ft3. The height of the unit is 6 feet. A prism has a length of l, width of 2, and height of 6 feet. Given what you know about the figure, complete these sentences. The area of the square base is feet2. The length of the prism is feet. The width of the prism is feet.

Answers

Answer 1

Answer:

The area of the square base is 16 feet the length of the prism is 4 feet, and the width of the prism is 4 feet.

Step-by-step explanation:

Answer 2

The length of the prism is L = 4 feet

What is the volume of a prism?

A three-dimensional solid object called a prism has two identical ends. It consists of equal cross-sections, flat faces, and identical bases. Without bases, the prism's faces are parallelograms or rectangles.

The volume of a prism is the product of its base area and height

Volume of Prism = B x h

where B = base area of prism

h = height of prism

Given data ,

A square base has a volume of 96 ft3 and a height of 6 feet. Since the volume of a prism is given by the product of the area of the base and the height, we can find the area of the square base as follows:

Volume = area of base x height

96 = area of base x 6

Area of base = 16 ft²

Now, we are given a prism with length of l, width of 2, and height of 6 feet. Since the base is a square, we can set l equal to the width and solve for it using the area of the base we found earlier:

Area of base = l²

16 = l²

l = 4 feet

Hence , the length of the prism is 4 feet and the width is 2 feet

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Related Questions

A pound is approximately 0.45 kg . A persons weight 87 kg. What is the persons weight , in pounds, when rounded to the nearest whole number

Answers

Answer:191.80 lbs

Step-by-step explanation:

Answer:

190

Step-by-step explanation:

I need brainliest cutie

Find the mean, median and mode of these numbers

11,10,8,10,1

12,10,16,28,15,29,26,16,1

13,11,12,8,10,6

9,12,5,9,14,5,7,8,9,2

Thank you for helping!​

Answers

Answer:

11, 10, 8, 10, 1

mean - 8

median - 10

mode - 10

12, 10, 16, 28, 15, 29, 26, 16, 1

mean - 17

median- 16

mode - 16

13, 11, 12, 8, 10, 6

mean - 10

median - 10

mode - no mode

9, 12, 5, 9, 14, 5, 7, 8, 9, 2

mean- 8

median- 8.5

mode - 9

mean - add up all numbers then divide that answer by how many numbers there are

median - put all the numbers in order and find the middle number

mode- most frequent number


Points A, B, and C are collinear and B is between A and C. You are given AC = 18 and BC = 4. What is the value of AB?

Answers

Answer: AB = 14 units.

Step-by-step explanation:

Collinear means that we can draw a line that goes trough the 3 points.

We also know that B is between A and C, so we may have something like:

----A---------B--------------C------------

The distance between A and C is 18 units.

And the distance between B and C is 4 units.

Looking at that description, you can see that the distance between A and B is equal to the distance between A and C minus the distance between B and C.

So we have:

AB = AC - BC = 18 units - 4 units = 14 units.

the expression 1350(1.05)^t models the average wages, in dollar, in the us as a function of the number of years since 1930. what does 1.05 represent in this expression.​

Answers

Answer:

The average wage in the us increase by about five percent

Step-by-step explanation:

The 1.05 represents the rate of increasing average wages in the US, and it depicts that average wages are increasing by 5 %.

What is the percentage?

As it is clear from the term per cent means measuring anything per hundred. For example, you get marks per 100 marks, so you get the percentage.

Given the expression,

[tex]1350(1.05)^t[/tex]

As it is clear that this is the formula for the amount,

[tex]A = P \times (1+r/100)^t[/tex]

Here, the value of the middle expression is 1.05, which can be written as 1 + 5 / 100.

Therefore, it is the rate of increasing wages in the US, and it depicts that the wages are increasing by 5 %.

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Solve for z.

3 + 9z = –7 + 10z

z =

Answers

the answer should be z = 10

So the value of z is 10.

look at the attached picture

Hope it will help you

Good luck on your assignment

what is 3 and 1/2 divided by 1 and 3/7 equal please help

Answers

Answer:

2.45

Step-by-step explanation:

Answer:

2 9/20

Step-by-step explanation:

3 1/2 ÷ 1 3/7

Change to improper fractions

(2*3+1)/2 ÷ (7*1+3)/7

7/2 ÷10/7

Copy dot flip

7/2 * 7/10

49/20

Change back to a mixed number

20 goes into 49 2 times with 9 left over

2 9/20

Two boats A and B Left a Port at the same time on different routes . B travelled on a bearing of 150º and A travelled on the North side of B . When A had travelled 8km and B had travelled 10km, the distance between the two boats was found to be 12km . Calculate the bearing of A's route from C.

Answers

Answer: 67.2°

Step-by-step explanation:

To find angle C, we have to use cosine rule. Therefore,

12² = 8² + 10² - 2 × 8 × 10 × cosC

C = 82.8°

The bearing of A from C will be

= 150° - 82.8°

= 67.2°.

Please help me to solve this question. ​

Answers

Answer:

A=266CM

Step-by-step explanation:

p=2l + 2w                                   l=2x+1             w=x+5

66=2[2x+1] + 2{x+5]                  l=2x9 + 1           w=9+5

66=4x+2 + 2x+10                      l=18+1                 w=14

66=6x+12                                   l=19

66-12=6x

54=6x                                      A=L x W

x=9                                         A=19 x 14

                                             A=266CM

Sarah solved a quadratic equation. Her work is shown below, with Step 1 missing.
What could Sarah have written as the result from Step 1?
2(x + 1)2 +6 = 134
Step 1
(x+1)2 – 64
Step 2
2+1 =18
Step 3
x = -9 or x = 7 Step 4
Khan academy quiz

Answers

Answer:

c.2(x+1)^2=128

Step-by-step explanation:

The missing step that Sarah has to write as the result of Step 1 will be 2(x + 1)² = 128.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The equation is given below.

2(x + 1)² + 6 = 134

Simplify the equation, then we have

2(x + 1)² + 6 = 134

2(x + 1)² = 128

(x + 1)² = 128 / 2

(x + 1)² = 64

Take square root on both sides. Then we have

(x + 1) = ± 8

x = - 1 ± 8

x = - 1 - 8, - 1 + 8

x = - 9, 7

The missing step that Sarah has to write as the result of Step 1 will be 2(x + 1)² = 128.

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What is m wtv in degrees

Answers

We have been given image of a circle. We are asked to find the measure of angle WTV.

We know that measure of an inscribed angle is half the measure of intercepted arc.

We can see that angle WTV is inscribed angle to arc WV. So measure of angle WTV will be half the measure of arc WV.

[tex]\angle WTV=\frac{1}{2}\widehat{WV}[/tex]

[tex]\angle WTV=\frac{1}{2}\cdot 90^{\circ}[/tex]

[tex]\angle WTV=45^{\circ}[/tex]

Therefore, the measure of angle WTV is 45 degrees and 2nd option is the correct choice.

A company plans to scale it's logo and place it on a billboard so that drivers and pedestrians can see it easily from the ground the original logo is a square with sides of 1.25 inches after scaling the local must have a perimeter of 32 feet this action is called blank and the scale factor is blank

Answers

Answer:

enlargment and 6.4 feet per inch

Step-by-step explanation:

i got it right on mine

The blank words are:

Enlargement and 6.4.

What is a scale factor?

The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller).

Given:

A company plans to scale its logo and place it on a billboard so that drivers and pedestrians can see it easily from the ground.

The original logo is a square with sides of 1.25 inches.

After scaling,

the local must have a perimeter of 32 feet.

This action is called enlargement,

and the scale factor is,

= (32/4) / 1.25

= 8 / 1.25

= 6.4.

Therefore, the scale factor is 6.4.

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What is the area of the shaded region? A. 21mm B. 24 mm C. 42 mm D. 48 mm

Answers

Answer:

Can i see a pic of the shaded part?

Step-by-step explanation:

When Violet was born she weighed 54 pounds. At 5 months old she weighed 16.3 pounds.
How much weight did she gain between birth and 5 months old?

Answers

Answer:

37.7 pounds

Step-by-step explanation:

Simply subtract 54 (starting weight) by 16.3 (weight at 5 months) = the amount of weight she lost.

54 - 16.3 = 37.7

The first three terms of a Fibonacci sequence are n 3n 4n find the sixth term I FB the sequence

Answers

Answer:

18n

Step-by-step explanation:

In the Fibonacci sequence In mathematics, the Fibonacci numbers, commonly denoted [tex]Fn[/tex], form a sequence, called the Fibonacci sequence, such that each number is the sum of the two preceding ones, starting from 0 and 1.

Given data

First term= n

second term = 3n

third term = 4n

According to Fibonacci sequence the fourth term is

[tex]F4= F2 + F3\\F4=3n+ 4n= 7n[/tex]

the Fifth term is

[tex]F5= f3 + f4\\f5= 4n+7n= 11n[/tex]

hence  the sixth term is

[tex]F6= F4+F5\\ F6= 7n+11n= 18n[/tex]

Which ordered pair is a solution to the system of linear equations?
2x + 3y= 6
-3x + 5y = 10
(0.2)
(2.0)
(3.2)
(2.3)

HELP

Answers

Step 1: Substitute the value of x into the equation
x= 3-3/2y
-3x+5y=10

Step 2: Solve the equation
-3(3-3/2y)+5y=10

Step 3: Substitute the value of y into the equation
Y=2

Step 4: Solve the equation
X=3-3/2×2 = X=0


Answer: (0,2)

Answer:

Step 1: Substitute the value of x into the equation

x= 3-3/2y

-3x+5y=10

Step 2: Solve the equation

-3(3-3/2y)+5y=10

Step 3: Substitute the value of y into the equation

Y=2

Step 4: Solve the equation

X=3-3/2×2 = X=0

Answer: (0,2)

A bicycle wheel has a circumference of 62 inches. Find the diameter of the wheel. If necessary, round to the tenths place. 39.5 inches 19.7 inches 15.5 inches 9.9 inches

Answers

Answer:

19.7 inches

Step-by-step explanation:

The formula for the circumference of a circle of radius r is C = 2πr.  If the diameter is given, then the formula is C = πd.

Here C = 62 in.  Dividing both sides by π yields the diameter:  d = C/π:

       62 in

d = ----------- = 19.7 inches

        3.14

Answer:

b. 19.7

Step-by-step explanation:

did it on the ed2020 practice

Which one belong doesn't? Which angle does not belong with the other three? Explain your reasoning. Please help, thank you.
a) -90 degrees b) 450 degrees
c) 90 degrees d) -270 degrees

Answers

Answer:

450 degrees

Step-by-step explanation:

There is no angle that can possibly be 450 degrees. Angles go as far a 360 degrees and then stop.

Someone please help me

Answers

Answer:y= 4x+2

Step-by-step explanation:

5. Dos edificios distan entre si 150 metros. Desde un punto que está entre los dos edificios, vemos

que las visuales a los puntos más altos de estos forman con la horizontal ángulos de 35° y 20

¿Cuál es la altura de los edificios, si sabemos que los dos miden lo mismo?

Answers

Answer:

35.92 m

Step-by-step explanation:

To have a better comprehension of the problem, we can draw it as in the image attached.

If we use the tangent relation in both triangles, we have:

tangent(35) = h/x

tangent(20) = h/(150-x)

From the first equation, we have:

x = h/tangent(35) = h/0.7

From the second equation, we have:

0.364 = h / (150 - h/0.7)

54.6 - 0.52h = h

1.52h = 54.6

h = 35.92 m

In the following diagram, HI is parallel to JK. What is the measure of x?

Answers

Answer:

60

Step-by-step explanation:

find the missing angle in triangle HAI =60.

VERTICALLY OPPOSITE ANGLES ARE EQUAL.=60

Angle x is alternating with the angle.

Answer:

[tex]x = 60 \: \: degrees[/tex]

Step-by-step explanation:

Lets take LAH angle as 'y'

[tex]61 + 59 + y = 180 \\ 120 + y = 180 \\ y = 180 - 120 \\ y = 60 \: \: degrees[/tex]

[tex]y = x(corresponding \: \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: angles) \\ 60 = 60 \\ \\ [/tex]

[tex]x = 60 \: \: degrees[/tex]

Solve for m. –8m = 3 − 9m m =

Answers

Answer:

m=3

Step-by-step explanation:

–8m = 3 − 9m

-8+9m = 3

m = 3

-8m = 3 - 9m
9m - 8m = 3
m= 3

A bullet train traveled 270 kilometers in 1.5 hours. The entire trip is scheduled to last 5 hours. If the train continues at the same rate, which proportion can be used to find the length, in kilometers, k, of the trip?

Answers

Answer:

270/1.5=k/5

Step-by-step explanation:

270  km........1.5 h

k       km........5 h

270/1.5=k/5

Find the GCF of the numbers 16 and 72

Answers

Answer:

8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

The Greatest Common Factor of two numbers is the largest whole number that goes into both of them. To find it, we can lay out all the factors of each number and pick the largest one.

Factors of 16: 1, 2, 4, 8, 16

Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

The largest number that shows up on both lists of factors is 8, so the GCF of 16 and 72 is 8.

I was just wondering this is one of my questions in my math books and i needed help

Answers

Answer:

B is true

Step-by-step explanation:

5 is a coefficient of x^0

A 2-pound bag of chocolate candies costs $5.37. What is the unit price, rounded to the nearest cent?

Answers

Answer:

$2.69/pound ($2.69 per pound)

Step-by-step explanation:

The unit price means the cost of one pound of candies. To find this, we'll half the cost of 2 pounds of candies, which is 5.37 / 2 = $2.69 / pound. Hope this helps!

Simplify Negative 3 over 2 divided by 9 over 6.

Answers

Answer:

-1

Step-by-step explanation:

So in this case your dividing -3/2 by 9/6

So a strategy I learned was KCF aka. keep change and flip.

Therefore, in this case you keep -3/2

You change the dividing sign into multiply and then you flip 9/6 which makes 6/9.

These leaves us with -3/2 x 6/9

After multiplying, you'll probably get -18/18.

Which leaves us with -1 since if you divide a positive by a negative or a negative by a positive it'll give you a negative number.

Hopefully this helped! :)

1. Last Wednesday, students could choose ham or turkey sandwiches for
lunch. The cafeteria made 34 turkey sandwiches and 51 hamn
sandwiches. What percentage of the sandwiches were turkey.


2. Will bought cupcakes for his sister's birthday party, 60 cupcakes had
sprinkles on top. The other 20 cupcakes did not have sprinkles. What
percentage of the cupcakes had sprinkles?

3. At Gary's Swimwear, there are eo bikini styles and 20 other types of
swimsuit. What percentage of the swimsuit styles are bikinis?

4. 6 out of the 30 employees at the sports shop are part-time employees,
What percentage of the employees at the sports shop work part-time

5. At an amusement park, 334 out of 835 tickets sold were discount
tickets, What percentage of the tickets were discount tickets?

Answers

Answer:

47%

Step-by-step explanation:

47 + 53 = 100, so 1 = 1%. 47 * 1 = 47, so it equals 47%.

Answer:

1. 40% 2. 75% 4. 20% 5. 40%

Step-by-step explanation:

1. 34/84 * 100 = 40%

2. 60/80 * 100 = 75%

4. 6/30 * 100 = 20%

5. 334/835 * 100 = 40%

Number 3 is not specific

Distance between -13,10 and -7,2

Answers

The right answer is 10 units.

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Serious answers only I’m giving 20 points away to whoever can help me with real explanation and I will mark you Brainiest

Answers

Answer:

1.3

Step-by-step explanation:

BC is the distance between B and C.

BC = x − (-0.4)

BC = x + 0.4

AB is the distance between A and B.

AB = -0.4 − (-1.25)

AB = -0.4 + 1.25

AB = 0.85

Substitute into the equation.

BC = 2AB

x + 0.4 = 2(0.85)

x + 0.4 = 1.7

x = 1.3

Answer:

x=1.3

Step-by-step explanation:

AB=(-0.4-(-1.25))=1.25-0.40=0.85

BC=2AB=2×0.85=1.70

x=-0.4+1.7=1.3

What is the value of 3-(-2)?

Answers

Answer:

5

Step-by-step explanation:

3 - (-2)

Subtracting a negative is adding

3+2

5

Answer:

It's positive 1

Step-by-step explanation:

Because I'm saying goat

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