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3 years ago

13

Jorge is building a table out of boards that are 3.75 inches wide.He wants the table to be at least 36 inches wide. What is the

least number of boards he can use? SHOW WORK PLEASE

1 answer:

Firlakuza [10]3 years ago

6 0

He needs atleast 10 boards because it takes 9.6 boards to make 36 inches.

36 ÷ 3.75 = 9.6 boards
3.75 × 9.6 = 36 inches

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A cube has 8
A square has 4

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A sphere has a radius of 11 feet. A second sphere has a radius of 8 feet. what is the difference of the volume of thespheres

Veronika [31]

The difference between the volume of the spheres is 3428.88 cubic feet

Explanation:

Given that one sphere has a radius of 11 feet.

A second sphere has a radius of 8 feet.

<u>Volume of the 1st sphere:</u>

The formula to determine the volume of the sphere is given by

$V=\frac{4}{3} \pi r^3$

Volume of the 1st sphere is given by

$V=\frac{4}{3}(3.14)(11)^3$

$V=\frac{4}{3}(3.14)(1331)$

$V=\frac{16717.36}{3}$

$V=5572.45$

The volume of the 1st sphere is 5572.45 cubic feet.

<u>Volume of the 2nd sphere:</u>

Volume of the 2nd sphere is given by

$V=\frac{4}{3}(3.14)(8)^3$

$V=\frac{4}{3}(3.14)(512)$

$V=\frac{6430.72}{3}$

$V=2143.57$

The volume of the 2nd sphere is 2143.57 cubic feet.

<u>Difference between the volume of the two spheres:</u>

Difference = Volume of the 1st sphere - Volume of the 2nd sphere

= 5572.45 - 2143.57

Difference = 3428.88 cubic feet.

Hence, the difference between the volume of the spheres is 3428.88 cubic feet.

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3 years ago

I need help with this and I don’t understand it

DochEvi [55]

Lets break it down:

The bottom right picture shows an approximation of what 1 wingspan length is, and the goal is to <u>estimate </u>lengths.

A. 1 wing is approx. 7 meters. To find the wingspan of the plane just do 7 meters multiplied by 2 = 14 meters (approx wingspan). Now we convert (remember, to the nearest foot!)

14 meters = 45.93 ft

Round it to the nearest foot = 46 ft is your approx. wingspan.

B. The height. This is one is a little tricky! Lets try to use what we know:

1 wing is approx. 7 meters. Since these are approximations, lets say half of one wing is <u>roughly</u> the size of the height of the plane. Since these are approximations I'd say 4 meters.

4 meters = 13 ft (rounded).

<em>I checked online for the specs of the Lysander and the exact height is 14 ft 6 in and wingspan is 50 ft. </em>This means our approximations were correct!

C. The length would be 10 ft + 7 meters

10 ft = 3 meters (rounded)

3 meters + 7 meters = 10 meters

<em>(converting to meters then to ft at the end because it's less messy)</em>

10 meters = 33 ft (rouned)

length of the Lysander is approx. 33 ft!

(the real length is 30 ft 6 in)

This means our approximations were correct once more.

Hopefully this helped you and made your night/day easier.

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Find the standard form of the equation of the hyperbola satisfying the given conditions: X intercept +/- 6; foci at (-10,0) and

uysha [10]

Answer:

$\frac{x^{2}}{36} - \frac{y^{2}}{64}=1$

Step-by-step explanation:

Given an hyperbola with the following conditions:

Foci at (-10,0) and (10,0)
x-intercept +/- 6;

The following holds:

The center is midway between the foci, so the center must be at (h, k) = (0, 0).

The foci are 10 units to either side of the center, so c = 10 and $c^2 = 100$
The center lies on the origin, so the two x-intercepts must then also be the hyperbola's vertices.

Since the intercepts are 6 units to either side of the center, then a = 6 and $a^2 = 36.$

$Then, a^2+b^2=c^2\\b^2=100-36=64$

Therefore, substituting $a^2 = 36.$ and $b^2=64$ into the standard form

$\frac{x^{2}}{a^2} - \frac{y^{2}}{b^2}=1\\We \: have:\\ \dfrac{x^{2}}{36} - \dfrac{y^{2}}{64}=1$

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You buy 3.17 pounds of apples, 1.25 pounds of pears, and 2.56 pounds of oranges. What is your total bill rounded to nearest cent

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$6.98 is answer but the answer that is rounded is $7.00

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