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Ulleksa [173]
3 years ago
12

What is the volume of a cylinder with a high of 9 inches in the diameter of 8 inches use 3.14 to approximate pi to calculate the

approximate answer. round the answer to a whole number.
Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
8 0

Answer:

  452 cubic inches

Step-by-step explanation:

In terms of diameter, the volume of the cylinder is ...

  V = (π/4)d^2h

Filling in the given numbers, we get ...

  V =(3.14/4)(8 in)^2(9 in) = 452.16 in^3

The cylinder volume is about 452 cubic inches.

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1.- What type of parabola is this?
xz_007 [3.2K]

Answer:

<u>Part 1</u>

<u>Sideways or "horizontal" parabola</u> with a horizontal axis of symmetry.

<u>Part 2</u>

The vertex is the turning point:  (-3, 1)

<u>Part 3</u>

Vertex form of a horizontal parabola:

x=a(y-k)^2+h    

where:

  • (h, k) is the vertex
  • a is some constant
    If a > 0 the parabola opens to the right.
    If a < 0 the parabola opens to the left.

Point on the curve:  (-1, 2)

Substituting the vertex and the found point into the formula and solving for a:

\implies -1=a(2-1)^2-3

\implies -1=a-3

\implies a=2

<u>Part 4</u>

Equation for the given parabola in vertex form:

x=2(y-1)^2-3

Equation in standard form:

x=2y^2-4y-1

4 0
1 year ago
The sides of a quadrilateral are 3, 4, 5, and 6. Find the length of the shortest side of a similar quadrilateral whose area is 9
Georgia [21]

Answer:

9 units.

Step-by-step explanation:

Let us assume that length of smaller side is x.

We have been given that the sides of a quadrilateral are 3, 4, 5, and 6. We are asked to find the length of the shortest side of a similar quadrilateral whose area is 9 times as great.

We know that sides of similar figures are proportional. When the proportion of  similar sides of two similar figures is \frac{m}{n}, then the proportion of their area is \frac{m^2}{n^2}.

We can see that length of smaller side of 1st quadrilateral is 3 units, so we can set a proportion as:

\frac{x^2}{3^2}=\frac{9}{1}

\frac{x^2}{9}=\frac{9}{1}

x^2=9\cdot 9

x^2=81

Take positive square root as length cannot be negative:

\sqrt{x^2}=\sqrt{81}

x=9

Therefore, the length of the shortest side of the similar quadrilateral would be 9 units.

4 0
3 years ago
Read 2 more answers
Solve 19.9 = 9 y - 8.<br> Y=
Savatey [412]
The answer would be y = 3.1

19.9 + 8 = 9y

27.9 = 9y

27.9/9 = y

3.1 = y

y = 3.1.
3 0
3 years ago
Which expressions are equivalent to the given expression?
Komok [63]

-51 - 6i AND -3 + 2i - 2(24) - 8i are correct :)

5 0
3 years ago
Fran swims at a speed of 2.8 mph in still water. The Lazy River flows at a speed of 0.6 mph. How long will it take Fran to swim
kati45 [8]

Answer:

1. Upstream Time:  1 hour (or 60 minutes)

2. Downstream Time: 0.65 hour (or 39 minutes)

Step-by-step explanation:

The time it will take goes by the distance formula:

D=RT, where D is the distance, R is the rate (speed), and T is the time.

For Upstream, you are going <em>against</em> the current, so your still water speed slows down. So upstream rate is still water rate - stream rate. So 2.8 - 0.6 = 2.2mph

Time it will take him to swim 2.2 miles, is:

D=RT\\2.2=2.2(T)\\T=\frac{2.2}{2.2}=1

So, 1 hour

For Downstream, you are going <em>with</em> the current, so your still water speed increases. So downstream rate is still water rate + stream rate. So 2.8 + 0.6 = 3.4 mph

Time it will take him to swim 2.2 miles, is:

D=RT\\2.2=3.4(T)\\T=\frac{2.2}{3.4}=0.65

So, 0.65 hours (or 0.65*60=39 minutes)

5 0
3 years ago
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