A SQUARE RECTANGULAR PRISM (BASE IS A SQUARE) HAS A
VOLUME OF 38 CU. IN. THE HEIGHT IS 10 LESS THAN THE AREA
OF THE BASE. WHAT IS THE HEIGHT? NO UNITS.

Answers

Answer 1

The height of the prism [tex]\approx 2.9[/tex]

The whole volume of the prism is

[tex]\text{Volume} = \text{Area of base}\times \text{Height}[/tex]

Here, the volume is 38 cu. in.

From the question, the area and the height are related as follows;

[tex]\text{Height} = \text{Area} - 10 \implies \text{Height + 10} =\text{Area}[/tex]

Substituting this into the formula for the volume, we get

[tex]\text{Volume}=(\text{Height} +10)\times \text{Height}=38\\\\\text{Height}^2 + 10\times\text{Height}=38\\\\\text{Height}^2 + 10\times\text{Height}-38=0[/tex]

If the above quadratic equation is solved for the height, we get

[tex]\text{Height}\approx 2.9[/tex]

(We can't take the other solution since height has to be greater than zero)

Another word problem on volume can be found in this link: https://brainly.com/question/17142547


Related Questions

In ⊙V, QT ≅ RS. If UV = 4 cm, then VW = _______ cm.

Answers

Answer:

VW = 4 cm

Step-by-step explanation:

Congruent chords are equidistant from the centre , so

VW = UV = 4 cm

If one of the 255 subjects is randomly selected, find the probability that the person is over 40 and prefers cola.


a) 4/19

b) 4/17

c) 4/51

d) 32/51

Answers

Answer:

32/51

Step-by-step explanation:

Given triangle MTW is congruent to triangle BGK,find y.

Answers

Answer:

y = 8

Step-by-step explanation:

As MTW and BGK are congruent

angle T = angle G

4x - 3 = 45

in triangle MTW

angle M = 180 - (T + W)

= 180  - (45 + 41)

= 180 - 86

= 94

and angle M = B

11y + 6 = 94

11y = 94 - 6

11y = 88

y = 8

If i can get 6 poland spring water 3-liter for $6. How much would it be if i get 3 poland water?

Explain

Answers

Answer:

$3

if we wanted to find how much 1 bottle would cost we would do 6/6=1 and from that we now know that 1 bottle of water costs $1 so if we times that by 3 to find out how much 3 bottles will cost we get $3.

Could someone help me figure this out?

Answers

Answer:

The area of a rectangle is the length multiplied by its breadth.

Since the length is [tex]3(n-1)[/tex] and the breadth is [tex]n+2[/tex] and the area is 54, you can form an equation as followed:

[tex]3(n-1)*n+2=54[/tex]

[tex]3n(n-1)+2=54[/tex]

Expand:

[tex](3n*n)-(3n*1)+2=54[/tex]

[tex]3n^2-3n+2=54[/tex]

Subtract both sides by 54:

[tex]3n^2-3n+2-54=54-54[/tex]

[tex]3n^2-3n-52=0[/tex]

Diego is planting corn on his farm. He predicts that he will grow 20 tons of corn when he plants 5 acres with corn. Part A Use the information above to complete the table. Number of Acres Planted with Corn Tons of Corn Grown 5 10 15 20 DULL​

Answers

The number of tons of corns grown on the farm is given my a multiple of

the number of acres planted.

The number of tons of corn predicted per 5 acres planted = 20 tons

Therefore, we have;

[tex]\begin{tabular}{ccc}Tons of corn produced per acre\end{array}\right] = \dfrac{20 \ tons}{5 \ acres} = \mathbf{4 \ tons /acre}[/tex]

The completed table is presented as follows;

[tex]\begin{tabular}{c|c|c}\underline{Number of Acres Planted with Corn}&\underline{4 tons per acre} &\underline{Tons of Corn Grown}\\5&5 \times 4&20\\10&10 \times 4&40\\15&15 \times 4&60\\20&20 \times 4&80\end{array}\right][/tex]

Learn more about simple ratios here:

https://brainly.com/question/21751163

DesBest Granola bars are now 25% longer. if the original bar was 20 centimeters long, how long is the new granola bar?

Answers

Answer:

25

Step-by-step explanation:

25% is a 4th of the whole number, the whole number is 20 so a 4th of 20 is 5 because 5 times 4 equals 20.

due to the fact that 25% of 20 is 5 we now have to add that to the whole number which is 20.

20 + 5 = 25

1. If you were to shade all the numbers that are divisible by 2 and by 3 in this multiplication table which rows would be completely shaded? Why?

Answers

Answer:

The ones that are divisible by 6

Step-by-step explanation:

If it is even, divisible by 2

If the sum of digits is divisble by 3, it would be divisible.

These examples are 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96.

You are welcome,

Kayden Kohl

8th Grade

Translate the sentence into an equation four more than six times a number is 11

Answers

6x+4=11

(x is "a number")

please help urgently need help
change the subject to x
s=x2−3​

Answers

Equation =》s = x² - 3

To change the subject to 'x' :-

[tex]\tt\:s = x ^ { 2 } - 3[/tex]

[tex]\tt\:x^{2}-3=s[/tex]

[tex]\tt\:x^{2}=s+3[/tex]

So,

[tex]\boxed{\tt\:x=\sqrt{s+3}}[/tex]

[tex]\boxed{\tt\:x=-\sqrt{s+3}\text{, }s\geq -3}[/tex]

=》'x' can be any of the 2 values in the boxes.

_______

Hope it helps ⚜

Answer:

I agree with RainbowSalt2222

Step-by-step explanation:

It is correct exactly what I got

x+3y=23
x-2y= -17
help elimationmethod

Answers

Answer:

1. 20

2.19

ok that will help you

What is the equation of the line in slope-intercept form?


y = 1/7x-15/7

y = 1/7x+15/7

y = 15/7x-1/7

y = 15/7x+1/7
NEED IT NOW!!

Answers

Answer:

B IS THE ANSWER

Step-by-step explanation:

. Mrs. Jackson needs to earn $3,000 a
month. How much does she need to sell if
she earns 15% commission on everything
she sells?

Answers

Answer:

20000

Step-by-step explanation:

Answer:

20000

Step-by-step explanation:

helpp pleaseeeeeeeeee​

Answers

Interior alternate angles

Answer ALL the question. Thank you


1) A toad jumps 8 times. Every time he jumps, he covers the same distance. After 8 jumps, he had traveled 96 steps. How long are his jumps?


2) Roger covers 52 steps in 1 jump and 7 steps. How many steps are equal to on of Roger's jumps?


3)Wartortle takes the same amount of time to get to 96, but he does it differently. Each of his jumps is equal to 8 of the toad's steps. How many jumps does Wartorle make?


4) Ribbbie jumped just as far as MT, 52 steps, but Rabbie did it in 3 jumps and 10 steps. How many steps are equal to one of Ribbie's jumps?

Answers

1) The toad's jumps are 12 steps long.

2) One of Roger's jumps equals 45 steps.

3) Wartortle makes 1 jump to cover 96 steps.

4) One of Ribbie's jumps is equal to 14 steps.

1) Given that a toad jumps 8 times, and every time he jumps, he covers the same distance, and after 8 jumps, he had traveled 96 steps, to determine how long are his jumps the following calculation must be performed:

96/8 = X 12 = X So, his jumps are 12 steps long.

2) Given that Roger covers 52 steps in 1 jump and 7 steps, to determine how many steps are equal to one of Roger's jumps, the following calculation must be performed:

52 - 7 = X 45 = X Thus, one of Roger's jumps equals 45 steps.

3) Since Wartortle takes the same amount of time to get to 96, but he does it differently, as each of his jumps is equal to 8 of the toad's steps, to determine how many jumps does Wartorle make the following calculation must be performed :

8 x 12 = X 96 = X 96/96 = 1 Therefore, Wartortle makes 1 jump to cover 96 steps.

4) Given that Ribbie jumped just as far as MT, 52 steps, but Ribbie did it in 3 jumps and 10 steps, to determine how many steps are equal to one of Ribbie's jumps, the following calculation must be performed:

(52 - 10) / 3 = X 42/3 = X 14 = X Therefore, one of Ribbie's jumps is equal to 14 steps.

Learn more in https://brainly.com/question/19634148

help me plz.......................

Answers

Answer:

B

Step-by-step explanation:

-16x - 32

We can factor out -16 from the -16 and -32 which leads us to this equation:

-16 (x + 2)

Meaning B would be the correct answer

Answer: B. -16(x + 2)

Step-by-step explanation:

The GCF, or greatest common factor, of -16 and -32, is -16.

Thus, distribute out -16 to get -16(x + 2)

Hope it helps :) and let me know if you want me to elaborate.

help me please on my math I need All of this FACTORS and the LCM​

Answers

Answer:

the LCM is :

1. 144

2.40

3.870

4. 63

5.216

6.150

7. 112

8.162

9. 96

10. 40

If you can walk 3/8 of a mile in 1/9 hour, how far could you walk in one hour

Answers

9514 1404 393

Answer:

  27/8 = 3 3/8 miles

Step-by-step explanation:

To find the rate in miles per hour, divide miles by hours.

  (3/8 mi)/(1/9 h) = (3/8)·(9/1) mi/h = 27/8 mi/h = 3 3/8 mi/h

You can walk 3 3/8 miles in 1 hour at that rate.

Can someone please explain what x is over here? And solve a part with working please :). Eternally grateful

Answers

Answer:

[tex]\frac{1}{9}[/tex] , 3 , 10

Step-by-step explanation:

Using the rules of exponents

[tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex]

[tex]a^{\frac{m}{n} }[/tex] = [tex]\sqrt[n]{a^m}[/tex]

[tex]a^{0}[/tex] = 1

(a)

[tex]6^{-x}[/tex] = [tex]\frac{1}{6^{x} }[/tex] = [tex]\frac{1}{9}[/tex]

(b)

[tex]6^{\frac{x}{2} }[/tex] = [tex]\sqrt{6^{x} }[/tex] = [tex]\sqrt{9}[/tex] = 3

(c)

[tex]6^{0}[/tex] + [tex]6^{x}[/tex] = 1 + 9 = 10

Can you please help I’ll give you points I need help if I can’t pass this I can’t play in my basketball game Sunday

Answers

Answer:

  m∠X = 70°

Step-by-step explanation:

In congruent triangles, corresponding parts have the same measures. In ΔABC and ΔXYZ, the corresponding parts are ...

  ∠A = ∠X = 70° . . . . . . . . . . . matches choice A

  ∠B = ∠Y = (90° -70°) = 20°

  ∠C = ∠Z = 90°

  AB = XY = √(3.5² +9.6²) ≈ 10.22 cm

  BC = YZ = 9.6 cm

  AC = XZ = 3.5 cm

Answer:

 m∠X = 70°

Step-by-step explanation:

In congruent triangles, corresponding parts have the same measures. In ΔABC and ΔXYZ, the corresponding parts are ...

 ∠A = ∠X = 70° . . . . . . . . . . . matches choice A

 ∠B = ∠Y = (90° -70°) = 20°

 ∠C = ∠Z = 90°

 AB = XY = √(3.5² +9.6²) ≈ 10.22 cm

 BC = YZ = 9.6 cm

 AC = XZ = 3.5 cm

Translate the sentence into an equation.

Nine more than the quotient of a number and 8 is equal to 5.

Answers

Answer:

x/8 + 9 =5

Step-by-step explanation:

Quotient is division and I decided to use x as my number so the first part is x/8. Then you do the nine more because more is addition to whatever is after it in our case it is x/8 so now you have x/8 + 9. Then it says equals 5 so the equation is x/8 + 9 = 5

I hope this helps!

Today, Petland sold 8 times as many dogs as cats. If a total of 72 dogs and cats were sold, how many cats were sold?

Answers

72 divided by 8 is 9.

9 cats were sold

It cost Chloe $9.20 to send 92 text messages. How many text messages did she send if she spent $18.00?
who know plz plz !!

Answers

Answer:

180 texts

Explanation:

mutiply 92 by 0.10 and you'll get 9.2

So each text costs 10 cents.

Use a number line to add or subtract.
3−(-1)=

Answers

Answer:

4

Step-by-step explanation:

rule 1 positive + positive= positive

rule 2 negative plus negative = negative

parallel perpendicular or neither

Answers

Answer: perpendicular

Step-by-step explanation: an opposite reciprocal makes it perpendicular.

example

1/2 and -2 are opposite reciprocals

1/2 and 1/2 are parallel

1/2 and -4/3 are neither

Answer:

The answer is perpendicular

A reflection over the x axis moves the point (-2, 5) to which quadrant?
I
Hiiii!!! Can someone please help mee!! I will give you double points!!!

Answers

Answer:

II quadrant

Step-by-step explanation:

Looking at the drawing, you can determine that the point with

coordinates (-2 ; 5) is in the II quadrant

In how many years will Rs 1200 at the rate of 15% interest amount to Rs 1740?​

Answers

Answer:

3 years.

Step-by-step explanation:

Answer

3 years

Step by step explanation

Interest = 1740 - 1200

= 540

SI = prt/100

540 = 1200*15*t/100

540 = 12*15*t

540 = 180*t

t = 540/180

t = 3 yrs

help please !!!!!!!!!

Answers

-a,2b
The correct answer

if 3x+4y=11 and xy=2 solve simultaneously​

Answers

Answer:

(1, 2 ) and ([tex]\frac{8}{3}[/tex], [tex]\frac{3}{4}[/tex] )

Step-by-step explanation:

3x + 4y = 11 → (1)

xy = 2 ( divide both sides by y , y ≠ 0 )

x = [tex]\frac{2}{y}[/tex] → (2)

Substitute x = [tex]\frac{2}{y}[/tex] into (1)

3([tex]\frac{2}{y}[/tex] ) + 4y = 11

[tex]\frac{6}{y}[/tex] + 4y = 11 ( multiply through by y )

6 + 4y² = 11y ( subtract 11y from both sides )

4y² - 11y + 6 = 0

Consider the factors of the product of the y² term and the constant term which sum to give the coefficient of the y- term

product = 4 × 6 = 24 and sum = - 11

The factors are - 8 and - 3

Use these factors to split the y- term

4y² - 8y - 3y + 6 = 0 ( factor first/second and third/fourth terms )

4y(y - 2) - 3(y - 2) = 0 ← factor out (y - 2) from each term

(y - 2)(4y - 3) = 0

Equate each factor to zero and solve for y

4y - 3 = 0 ⇒ 4y = 3 ⇒ y = [tex]\frac{3}{4}[/tex]

y - 2 = 0 ⇒ y = 2

Substitute these values into (2)

y = 2 : x = [tex]\frac{2}{2}[/tex] = 1 ⇒ (1, 2 )

y = [tex]\frac{3}{4}[/tex] : x = [tex]\frac{2}{\frac{3}{4} }[/tex] = 2 × [tex]\frac{4}{3}[/tex] = [tex]\frac{8}{3}[/tex] ⇒ ( [tex]\frac{8}{3}[/tex], [tex]\frac{3}{4}[/tex] )

The length of the base of an isosceles triangle is x. The length of a leg is 2x-6. The perimeter of the triangle is 38. Find X

Answers

Answer:

x = 10

Step-by-step explanation:

Perimeter of a triangle = the sum of the three sides.    

In an isosceles the legs are equal (2x - 6) and the base is x

Perimeter = (x) + (2x - 6) + (2x - 6)

          38  = 5x - 12

        38 + 12 = 5x

            50 =   5x

              [tex]\frac{50}{5} = \frac{5x}{5}[/tex]

               10 = x

   

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