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Allisa [31]
3 years ago
11

Please I really need help!

Mathematics
1 answer:
emmasim [6.3K]3 years ago
6 0

Answer: It is D

Step-by-step explanation:

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What is the surface area of the square pyramid?<br> 3<br> A<br> 2<br> 6<br> square units
stich3 [128]

Answer:

≈ 16.65 un²

Step-by-step explanation:

The image shows the formula

With the given info you would get ≈ 16.65 un²

5 0
3 years ago
Set up (do not evaluate) the integral which gives the volume when region bounded by curves y=Ln(x), y=2, and x=1 is revolved aro
ladessa [460]

Step-by-step explanation:

Graph the region: desmos.com/calculator/rbe6rq61a2

When the region is rotated about y=-2, the resulting shape is a horizontal, hollow cylinder.  The volume can be found with either washer method or shell method.

To use washer method, cut a thin vertical slice of the region.  Rotated around y=-2, this slice becomes a washer.  The width of this washer is dx.  The outer radius is 2 − (-2) = 4.  The inner radius is y − (-2) = y + 2.  The volume of the washer is:

dV = π (4² − (y + 2)²) dx

dV = π (4² − (ln x + 2)²) dx

The total volume is the sum of the washers from x=1 to x=e².

V = ∫ dV

V = ∫₁ᵉ² π (4² − (ln x + 2)²) dx

To instead use shell method, cut a thin horizontal slice of the region.  Rotated around y=-2, this slice becomes a cylindrical shell.  The thickness of the shell is dy.  The radius is y − (-2) = y + 2.  The width is x − 1.  The volume of the shell is:

dV = 2π (y + 2) (x − 1) dy

dV = 2π (y + 2) (eʸ − 1) dy

The total volume is the sum of the shells from y=0 to y=2.

V = ∫ dV

V = ∫₀² 2π (y + 2) (eʸ − 1) dy

6 0
2 years ago
What is the quotient of (6x4 + 15x3 – 2x2 + 10x – 4) ÷ (3x2 + 2) ?
Vika [28.1K]

We are given with the expression above such that the required in the problem is the quotient of the two polynomials. We just have to try each of the polynomials given as option to 3x2 + 2 to give the equation in the numerator. The answer is B.) 2x^2 – 5x – 2 
4 0
3 years ago
Write each rational number as a decimal <br> 4/7= <br> 1/3= <br> 9/20=
Setler [38]

4/7=0.571

1/3=0.333

9/20=0.45

4 0
3 years ago
Mary works as a gardener. On her last job she charged $60 for plants and $500 for 20 hours of work. The equations represent the
Ymorist [56]

Answer:

  • B. Y = 32x + 35
  • E. Y = 35x + 30
  • F. Y = 40x + 40

Step-by-step explanation:

First find out how much Mary was charging per hour:

= 500 / 20

= $25 per hour

She charges $60 for plants.

In a linear equation of the form: y = mx + c, the m represents the variable cost which in this case is the $25 per hour and the c is the fixed cost which is the $60.

Her rate as a linear equation would be:

y = 25x + 60

Looking a the value of the m of other gardeners will tell you who is charging higher hourly rates with anything above $25 doing so.

The gardeners with higher values of m than Mary are:

B. Y = 32x + 35

E. Y = 35x + 30

F. Y = 40x + 40

3 0
3 years ago
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