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3 years ago

7

Find the volume of a pyramid with a square base, where the side length of the base is 10.6\text{ in}10.6 in and the height of th

e pyramid is 12.3\text{ in}12.3 in. Round your answer to the nearest tenth of a cubic inch.

2 answers:

Setler [38]3 years ago

4 0

Answer:

460.7

Step-by-step explanation:

bearhunter [10]3 years ago

4 0

Answer:

460.7

Step-by-step explanation:

it just 460.7

You might be interested in

How to make 5:___=40:32 an equivalent ratio

docker41 [41]

Answer:

4

Step-by-step explanation:

5 : ? = 40 : 32

40 / 5 = 8

32 / 8 = 4

5 0

3 years ago

Answer ASAP. Please give correct answer. (Involves a bunch of circles and trig identities)

iren [92.7K]

Answer:

45.40

Step-by-step explanation:

First of all, the shape of rope is not a parabola but a catenary, and all catenaries are similar, defined by:

y=acoshxa

You just have to figure out where the origin is (see picture). The hight of the lowest point on the rope is 20 and the pole is 50 meters high. So the end point must be a+(50−20) above the x-axis. In other words (d/2,a+30) must be a point on the catenary:

a+30=acoshd2a(1)

The lenght of the catenary is given by the following formula (which can be proved easily):

s=asinhx2a−asinhx1a

where x1,x2 are x-cooridanates of ending points. In our case:

80=2asinhd2a

40=asinhd2a(2)

You have to solve the system of two equations, (1) and (2), with two unknowns (a,d). It's fairly straightforward.

Square (1) and (2) and subtract. You will get:

(a+30)2−402=a2

Calculate a from this equation, replace that value into (1) or (2) to evaluate d.

My calculation:

a=353≈11.67

d=703arccosh257≈45.40

7 0

3 years ago

The average (arithmetic mean) of y numbers is x. If 30 is added to the set of numbers, then the average will be x − 5. What is t

Alenkasestr [34]

Answer:

y = $\frac{1}{5}(x^{2}-35x)$

Step-by-step explanation:

Let the total numbers are n.

If the average of y numbers is x then we can form an equation

$\frac{y}{n}=x$

⇒ $\frac{n}{y}=\frac{1}{x}$

⇒ n = $\frac{y}{x}$ --------(1)

Now 30 is added to the set of numbers then average becomes (x - 5)

$\frac{y+30}{n+1}=(x-5)$

⇒ $\frac{(n+1)}{(y+30)}=\frac{1}{(x-5)}$

⇒ (n + 1) = $\frac{y+30}{x-5}$

⇒ n = $\frac{y+30}{x-5}$ - 1 ----- (2)

Now we equate the values of n from equation 1 and 2

$\frac{y}{x}$ = $\frac{y+30}{x-5}$ - 1

y(x - 5) = x(y + 30) - x(x - 5) [ By cross multiplication ]

xy - 5y = xy + 30x - x² + 5x

xy - xy - 5y = 35x - x²

-5y = 35x - x²

x² - 35x = 5y

y = $\frac{1}{5}(x^{2}-35x)$

6 0

3 years ago

Read 2 more answers

Please help!!!!!!!!!!!!!!!!!!!!!!!!!!

Triss [41]

Answer:

The Blue box is your answer

Step-by-step explanation:

Multiply 4, 8, and 7 and you get 224. The problem states that it should not be over 250, and 224 is not over 250. So the blue box is your best go.

5 0

2 years ago

Mary wants to fill in a cylinder vase.At the flower store they told her that the vase should be filled 3/4 for the flowers to la

borishaifa [10]

<u>Answer:</u>

Approximately 377 cubic inches of water.

<u>Step-by-step explanation:</u>

We know that Mary wants to fill in a cylinder vase and she was told that the vase should be filled 3/4 for the flowers to last the longest. We are to find how much water should she pour into the vase.

So first, we will find the height of the water:

$=\frac{3}{4} *10=7.5$ inches

Then, find the volume of the water of this height:

$Volume = \pi *4^2*7.5 = 376.9$

Therefore, Marry should pour approximately 377 cubic inches of water.

6 0

3 years ago