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3 years ago

The volume of a sphere is 113.04 ft. To the nearest foot, what is the radius of the sphere? Use 3.14 for pi.

Mathematics

2 answers:

ioda3 years ago

7 0

Answer:

idk

Step-by-step explanation:

Marina86 [1]3 years ago

5 0

Answer:

i don't get it

Step-by-step explanation:

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A rectangle is 10 inches wider than it is long. The perimeter is 48 inches. what is the length and width of the rectangle?

Liula [17]

Answer:

a) x represents length?

b) 10+x=48

d) 38 inches

Step-by-step explanation:

c) 10+x=48

subtract 10 to both sides

x=48-10

x=38

3 0

2 years ago

Consider the curve defined by the equation y=6x2+14x. Set up an integral that represents the length of curve from the point (−2,

torisob [31]

Answer:

32.66 units

Step-by-step explanation:

We are given that

$y=6x^2+14x$

Point A=(-2,-4) and point B=(1,20)

Differentiate w.r. t x

$\frac{dy}{dx}=12x+14$

We know that length of curve

$s=\int_{a}^{b}\sqrt{1+(\frac{dy}{dx})^2}dx$

We have a=-2 and b=1

Using the formula

Length of curve= $s=\int_{-2}^{1}\sqrt{1+(12x+14)^2}dx$

Using substitution method

Substitute t=12x+14

Differentiate w.r t. x

$dt=12dx$

$dx=\frac{1}{12}dt$

Length of curve= $s=\frac{1}{12}\int_{-2}^{1}\sqrt{1+t^2}dt$

We know that

$\sqrt{x^2+a^2}dx=\frac{x\sqrt {x^2+a^2}}{2}+\frac{1}{2}\ln(x+\sqrt {x^2+a^2})+C$

By using the formula

Length of curve= $s=\frac{1}{12}[\frac{t}{2}\sqrt{1+t^2}+\frac{1}{2}ln(t+\sqrt{1+t^2})]^{1}_{-2}$

Length of curve= $s=\frac{1}{12}[\frac{12x+14}{2}\sqrt{1+(12x+14)^2}+\frac{1}{2}ln(12x+14+\sqrt{1+(12x+14)^2})]^{1}_{-2}$

Length of curve= $s=\frac{1}{12}(\frac{(12+14)\sqrt{1+(26)^2}}{2}+\frac{1}{2}ln(26+\sqrt{1+(26)^2})-\frac{12(-2)+14}{2}\sqrt{1+(-10)^2}-\frac{1}{2}ln(-10+\sqrt{1+(-10)^2})$

Length of curve= $s=\frac{1}{12}(13\sqrt{677}+\frac{1}{2}ln(26+\sqrt{677})+5\sqrt{101}-\frac{1}{2}ln(-10+\sqrt{101})$

Length of curve= $s=32.66$

5 0

2 years ago

12. Sean lives 2.25 miles<br> from school. Write this<br> distance as a fraction in simplest form.

mars1129 [50]

It would be 2 1/4 because .25 in fraction form is 1/4 because it is a quarter and then 2

4 0

3 years ago

Valentina is trying to decide whether to join her school's swim team. During the summer, the team practices 4 days per week. Eac

Aloiza [94]

Answer:

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Each pair of shapes is congruent. Identify a transformation or sequence of transformations that could take one

Tema [17]

Answer:

When one shape can become another using only Turns, Flips and/or Slides, then the two shapes are Congruent. Two shapes are Similar when we need to Resize for one shape to become another (we may also Turn, Flip and/or Slide). So, when one shape can become another using transformation, the two shapes might be Congruent or just Similar?

Step-by-step explanation:

7 0

2 years ago