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arlik [135]
3 years ago
12

Find the surface area of the rectangular prism

Mathematics
1 answer:
Umnica [9.8K]3 years ago
4 0

Answer:

185.68 cm3

Step-by-step explanation:

SA = 2 (L x W) + 2 (L x H) + 2 (W x H)

     = 2 (8.2 x 3.4) + 2 (8.2 x 5.6) + 2 (3.4 x 5.6)

     = 2 (27.88)      + 2 (45.92)      + 2 (19.04)

     =     55.76       +     91.84         +     38.08

     SA = 185.68 cm3

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What are 2 equivalent ratios to 27:9?​
Andrei [34K]

Answer:

3:1

54:18

Step-by-step explanation:

You can divide both sides by 9 to get one ratio:

27/9:9/9

3:1

You can also multiply both sides by 2 to get another ratio:

27(2):9(2)

54:18

8 0
3 years ago
Identify the surface with the given vector equation. r(s, t) = s sin 4t, s2, s cos 4t
k0ka [10]

Answer:

Circular paraboloid

Step-by-step explanation:

Given ,

r(s,t)=ssin4t,s^2,scos4t

Here, these are the respective x,y,z axes components.

  • <em>Component along x axis r_i : ssin4t</em>
  • <em>Component along y axis r_j : s^2</em>
  • <em>Component along z axis r_k : scos4t</em>

We see that , from the parameterised equation , r_i^2+r_k^2=s^2sin^24t+s^2cos^24t\\r_i^2+r_k^2=s^2\\r_i^2+r_k^2=r_j

This can also be written as :

x^2+z^2=y

This is similar to an equation of a parabola in 1 Dimension.

By fixing the value of z=0,

<u><em>We get y=x^2 which is equation of a parabola curving towards the positive infinity of y-axis and in the x-y plane.</em></u>

By fixing the value of x=0,

<u><em>We get y=z^2 which is equation of a parabola curving towards positive infinity of y-axis and in the y-z plane. </em></u>

Thus by fixing the values of x and z alternatively ,  we get a <u>CIRCULAR PARABOLOID. </u>

4 0
3 years ago
Find the percentage of vacationers from<br> question 10 who spent between $1500<br> and $2000.
mars1129 [50]

Answer:

The percentage change of vacationers is 33.3 %

Step-by-step explanation:

Given as :

The old value of the vacationers = $ 1500

The new value of the vacationers = $ 2000

Let the percentage variation = x %

Or, x % increase = \dfrac{\tyextrm new value - \textrm old value}{\textrm old value} × 100

Or,  x % increase = \dfrac{\tyextrm $ 2000 - \textrm $ 1500}{\textrm $ 1500} × 100

Or, x % increase = \frac{500}{1500} × 100

Or, x % increase = \frac{1}{3} × 100

Or, x % increase = \frac{100}{3}

∴  x  = 33.3 %

So, The percentage increase change is 33.3 %

Hence The percentage change of vacationers is 33.3 %   Answer

3 0
3 years ago
The numbers –10, –4, 0, 7, and 10 are plotted on the number line. Absolute Value Find the absolute values. |–10| = |–4| = |0| =
slega [8]

Answer:

10,4,0,7,10

Step-by-step explanation:

|-10|=10

|-4|=4

|0|=0

|7|=7

|10|=10

8 0
3 years ago
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PLEASE HELP ME!!!!
Alla [95]

Answer:

(A) 0 (B) f(x)≥3/2

Step-by-step explanation:

#CarryOnLearning

3 0
3 years ago
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