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Law Incorporation [45]
2 years ago
15

Find the Total Surface Area and the Volume of these shapes:

Mathematics
1 answer:
fiasKO [112]2 years ago
7 0

Answer:

6156

Step-by-step explanation:

formula is TSA=2LW+2LH+2HW

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g For the curve parameterized by x(t) = 3 sin t, y(t) = 5 cost, for −π/4 ≤ t ≤ π/2: (a) Sketch the curve and the direction trace
tamaranim1 [39]

Answer:

a) See the file below, b) s = \int\limits^{0.5\pi}_{-0.25\pi} {[\left( 3\cdot \cos t\right)^{2}+\left(-5\cdot \sin t \right)^{2}]} \, dx, c) s \approx 9.715

Step-by-step explanation:

a) Points moves clockwise as t increases. See the curve in the file attached below. The parametric equations describe an ellipse.

b) The arc length formula is:

s = \int\limits^{0.5\pi}_{-0.25\pi} {[\left( 3\cdot \cos t\right)^{2}+\left(-5\cdot \sin t \right)^{2}]} \, dx

c) The perimeter of that arc is approximately:

s \approx (\frac{1}{4} + \frac{1}{8})\cdot 2 \pi\cdot \sqrt{\frac{3^{2}+5^{2}}{2} }

s \approx 9.715

5 0
3 years ago
If y=4x - 1, find the value of y<br>when x = -2 (please help)​
yKpoI14uk [10]

Answer:

7

Step-by-step explanation:

x = - 2

y = 4x - 1

= 4 ( 2 ) - 1

= 8 - 1

y = 7

6 0
2 years ago
Read 2 more answers
Which relation describes a function?
Kisachek [45]

Answer:

{(-2, -3), (-3, -2), (2,3), (3, 2)}

Step-by-step explanation:

A function is a set of ordered pairs in which <u>no two pairs have the same first number</u>.

In other words, an <em>x</em> cannot be paired with two <em>y</em>'s.

A function takes an <em>x</em> and pairs it with one and only one <em>y</em>.

{(0,0), (0, 2), (2.0), (2, 2)} is not a function because it pairs 0 with both 0 and 2.

{(2,-1), (2, 1), (3,-1), (3, 1)} is not a function because it pairs 2 with both -1 and 1.

{(2, 2), (2, 3), (3, 2), (3, 3)} is not a function because it pairs 2 with both 2 and 3.

8 0
3 years ago
Read 2 more answers
Can someone help please!
Tcecarenko [31]

Answer:

7*(1/10)=   the third one

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Sandy is upgrading her Internet service. Fast Internet charges $45 for installation and $49.45 per month.
butalik [34]

Answer:

x = 6 months.

The equation is given by $45 + ($49.45 × x) = ($56.95 × x).

Step-by-step explanation:

i) Let x be the number of months of Internet Service purchased till the Fast

  Internet charges and Quick Internet charges become the same.

ii) Charges for Fast Internet for x months is given by $45 + ($49.45 × x)

iii) Charges for Quick Internet for x months is given by ($56.95 × x)

iv) According to the first statement we will now equate the equations in ii)  

   and iii) and solve for x.

   Therefore, $45 + ($49.45 × x) = ($56.95 × x)

                      45 + 49.45 x  =  56.95 x

  Therefore  (56.95 - 49.45) x = 45

                    7.50 × x  =  45

  Therefore x = 45 ÷  7.5 = 6

6 0
3 years ago
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