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2 years ago

What is the total surface area of a cuboid with length 16cm, width 8cm and height 6cm?

Mathematics

1 answer:

enot [183]2 years ago

7 0

Answer:

Step-by-step explanation:

The dimensions as a pair, appear twice for each combination.

SA = 2* 16 * 8 + 2 * 16 * 6 + 2*8* 6

That's because when you look at the figure, there are 2 places each face is positioned.

SA = 256 + 192 + 96

SA = 544

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Solve equation <img src="https://tex.z-dn.net/?f=%5Cfrac%7Bk-4%7D%7B3%7D%20%3D%203" id="TexFormula1" title="\frac{k-4}{

3241004551 [841]

k-4/3= 3

Mutiply both sides by 3 .

(3)(k-4/3)= (3)(3)

Cross out 3 and 3 , divide by 3 and then becomes k-4= 9

Move -4 to the other side

Sign changes from -4 to +4

k-4+4= 9+4

k= 13

Answer: k= 13

6 0

2 years ago

A transformer increases the input voltage from 12V to 12,000V. What is the ratio of the number of wire turns on the primary coil

erma4kov [3.2K]

Answer:

$\frac{n_p}{n_s}=\frac{1}{1000}$

Step-by-step explanation:

Given voltage of primary coil is $V_p=12V$

And voltage of secondary coil is $V_s=12,000V$

A transformer is a device that contains primary and secondary coil. These coils are mounted on soft iron. The change in voltage depends upon the number of turns of primary coil $(n_p)$ and secondary coil $(n_s)$ .

Following equation represents the relation between them.

$\frac{V_s}{V_p} =\frac{n_s}{n_p}\\\\\frac{12,000}{12}=\frac{n_s}{n_p}\\\\1000=\frac{n_s}{n_p}$

Then, ratio of the number of wire turns on the primary coil to the number of turns on the secondary coil is

$\frac{n_p}{n_s}=\frac{1}{1000}$

5 0

3 years ago

Tisha and her academic team are working to go to state finals. They must have a certain number of points to advance. They have h

Westkost [7]

Answer:

b equals T minus a minus c minus d all over 3 ⇒ 3rd answer

Step-by-step explanation:

* Lets explain how to solve the problem

- Tisha and her academic team have had three local matches

# Assume that the points of the local matches are a , c , d

- They will attend a district match

- District match points count for three times the number of points

than local matches do

# Assume that the points of the district match is b

- T is the total points they will earned in the four matches

∵ The points in the local matches are a , c , d

∵ The point in district mach is 3b

∴ T = a + c + d + 3b

* Lets find b in terms of a , c , d , T

∵ T = a + c + d + 3b

- Subtract a from both sides

∴ T - a = c + d + 3b

- Subtract c from both sides

∴ T - a - c = d + 3b

- Subtract d from both sides

∴ T - a - c - d = 3b

- Divide both sides by 3

∴ $b=\frac{T-a-c-d}{3}$

∴ b equals T minus a minus c minus d all over 3

4 0

2 years ago

Read 2 more answers

A rectangular prism has a volume of 19 cm if the length of the prism is tripled and the other dimensions stay the same what is t

eimsori [14]

Answer:

The volume of the new prism is three times the volume of the old prism

Step-by-step explanation:

To carry out this problem we have to invent 3 variables that represent length, width and height

w = width

h = height

l = length = 19cm

Now we have to do the equation that represents the calculation of the volume of the prism

v = w * h * l

v = w * h * 19

v = 19hw

assuming the length is tripled

v = w * h * 3l

v = w * h * 3 * 19

v = 57wh

To know the volume of the new prism with respect to the previous one, we simply divide the volume of the new prism by the previous one.

57hw / 19hw = 3

The volume of the new prism is three times the volume of the old prism

6 0

3 years ago

Read 2 more answers

A small company borrows money and remains in debt to its lenders for a period of time. The function f(x)=−6x2+8x+50 represents t

Marysya12 [62]

Given that the debt has been represented by the function:
f(x)=-6x^2+8x+50
To get the number of years, x that it would take for the company to be debt free we proceed as follows:
we solve the equation for f(x)=0
hence:
0=-6x^2+8x+50
solving for x using the quadratic formula we get:
x=[-b+/-sqrt(b^2-4ac)]/2a
x=[-8+/-sqrt(8^2-4*(-6)*50)]/(-6*2)
x=[-8+/-√1264]/(-12)
x=27.552
x~28

5 0

2 years ago