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3 years ago

13

Greatest common factor of 7x² and 21x

1 answer:

Sonja [21]3 years ago

3 0

7x²: x · x · 7
21x: x · 3 · 7

GCF = 7x

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The sum of 12 and the quantity 8 times a number k is equal to 48

Rudiy27

12+8k=48
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3 years ago

Whats 46\100 simplified

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The answer to the selceted problem 23/50

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4 years ago

Read 2 more answers

Jackson used 8/9 of a case of soda to fill 1/3 of the soda machine. How many cases does it take to fill the soda machine?

lorasvet [3.4K]

Jackson used 8/9 of a case of soda to fill 1/3 of the soda machine.
how many cases does it take to fill the soda machine = ?
1/3 means three parts of the soda machine, it means if we fill with 8/9 of a case three times soda machine will be full so,
8/9 + 8/9 + 8/9 = 24/9
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4 years ago

The angle of elevation to the top of a skyscraper is measured to be 2 degrees from a point on the ground 1 mile from the buildin

Alex

Answer:

0.034921 miles or 1843774 feet tall

Step-by-step explanation:

Using trigonometric functions we know that $x=rcos(\theta)$ and $y=rsin(\theta)$ where $\theta$ =angle and r is the hypotenuse of the triangle.

First we will calculate the hypotenuse using the x equation, since we know x = 1 mile (distance from the building on the ground) we have:

$x=rcos(\theta)\\\\1=rcos(2)\\\\r=\frac{1}{cos(2)} \approx. 1.0061mi$

Now we will calculate the height of the building using the y equation and so:

$y=rsin(\theta)\\\\y=\frac{1}{cos(2)} \times sin(2) = \frac{sin(2)}{cos(2)}=tan(2)=0.034921mi$

The building is 0.034921 miles or approximately 184.3774 feet tall.

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3 years ago

A cylindrial hole is cut through the cylinder below.

Vika [28.1K]

Answer:

V=1884 Cubic mm

Step-by-step explanation:

We know that the volume of the Sphere is given by the formula

$V= \pi r^2h$

Where r is the radius and h is the height of the cylinder

We are asked to determine the radius of the hollow cylinder , which will be the difference of the solid cylinder and the cylinder being carved out.

$V=V_1-V_2$

$V=\pi r_1^2 \times h-\pi r_2^2 \times h$

$V=\pi \times h \times (r_1^2-r_2^2)$

Where

$V_1$ is the the volume of solid cylinder with radius $r_1$ and height h

$V_2$ is the volume of the cylinder being carved out with radius $r_2$ and height h

where

$r_1 = 7$ mm ( Half of the bigger diameter )

$r_2 = 5$ mm ( Half of the inner diameter )

$h=25$ mm

Putting these values in the formula for V we get

$V=\pi \times 25\times (7^2-5^2)$

$V=3.14 \times 25 \times(49-25)$

$V=3.14 \times 25 \times 24$

$V= 1884$

3 0

3 years ago