In the figure, CDEF is a rectangle and ABE and BCF are triangles.

What are the side lengths of the equilateral triangle?

Alchen [17]

$5x + (6x - 5) + (3x + 10) = 360$

$5x + 6x - 5 + 3x + 10 = 360$

$11x - 5 + 3x + 10 = 360$

$14x + 5 = 360$

$14x = 360 - 5$

$14x = 355$

$x = 25.36$

$x = 25.36$

$5x = 5 \times 25.36 = 126.8$

$6x - 5 = 6 \times 25.36 - 5 = 147.16$

$3x + 10 = 3 \times 25.36 + 10 = 86.08$

4 0

2 years ago

The projected sales volume of a video game cartridge is given by the function s(p) = 3000 / (2p + a), where s is the number of c

Alex_Xolod [135]

Answer: 149 cartridges will be sold at 20 dollars per cartridge.

Step-by-step explanation:

Given: The projected sales volume of a video game cartridge is given by the function $s(p)=\dfrac{3000}{2p+a}$ , where s is the number of cartridges sold, in thousands; p is the price per cartridge, in dollars; and a is a constant.

Put s(p)=100000, p= 10, we get

$100000=\dfrac{3000}{2(10)+a}\\\\\Rightarrow\ 100=\dfrac{3}{20+a}\\\\\Rightarrow\ 100(20+a)=3\\\\\Rightarrow\ 2000+100a=3\\\\\Rightarrow\ 100a=-1997\\\\\Rightarrow\ a=-19.97$

i.e. $s(p)=\dfrac{3000}{2p-19.97}$

Put p=20, we get

$s(20)=\dfrac{3000}{2(20)-19.97}\\\\=\dfrac{3000}{40-19.97}\\\\=\dfrac{3000}{20.03}\approx149$

Hence, 149 cartridges will be sold at 20 dollars per cartridge.

8 0

2 years ago

Please look Below!!!! (No links) Please explain.

Tcecarenko [31]

Answer:

The surface area of the cylinder is about 954.56 square inches.

Step-by-step explanation:

The total surface area of a cylinder is given by the formula:

$SA=2\pi r^2 + 2\pi rh$

Here, we are given that the radius is 8 inches and that the height is 11 inches. We are also using 3.14 for π. So, substitute:

$SA\approx 2(3.14)(8)^2+2(3.14)(8)(11)$

Use a calculator:

$SA\approx 954.56\text{ in}^2$

The surface area of the cylinder is about 954.56 square inches.

6 0

2 years ago

How to solve fractions

ddd [48]

Answer:

The key is finding a common # on the bottom (aka: a common 'denominator')

once you do this, you can easily add and subtract them!

Step-by-step explanation:

EX:

1/2 + 2/3 = ?

*EASIEST TRICK!!*

take your 2nd denominator: (3) and multiply it by the entire (1st fraction): 1/2

(when we MULTIPLY fractions, it is easy as pie, we can just multiply across the top and across the bottom) in this case, we will multiply both top and bottom by the 2nd denominator (3)

(1 x 3)/(2 x 3) = 3/6 (3/6 is another way of saying 1/2, so we're good!)

now take the 1st denominator (2), and multiply the entire 2nd fraction by that:

(2 x 2)/(3 x 2) = 4/6

now we have 6 on the bottom of both! time for the magic:

3/6 + 4/6 = 7/6

but wait! (that means we have 7 slices of a 6-piece pie! ...so we actually have, 1 full (6-piece pie) and 1 slice leftover! (awww yeeea)

so, 7/6 --> 1 (full pie) 1/6 (leftover!)

now to put it all back together:

1/2 + 2/3 = 1 & 1/6

7 0

2 years ago

Please help anyone and explain?

ddd [48]

Answer:

a) 47 people (count each leaf)

b) 66 - 1 = 65 (max - min)

c) 4 (occurs the most)

6 0

3 years ago