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vazorg [7]
3 years ago
12

the formula s=sqrt sa/6 gives the lenth of the side , s, of a cube with a surface area,SA. how much longer is the side of a cube

with a surface area of 1,200 square inches than a cube with the surface area of 768 square inches?
Mathematics
2 answers:
nasty-shy [4]3 years ago
7 0

Using the given formula, replace sa with the given surface areas and solve for s:

Surface area = 1200

s =  √1200/6

s = √200

s = 14.142


Surface area = 768

s = √768/6

s = √128

s = 11.313


Difference:

14.142 - 11.313 = 2.829 inches


Round answer as needed.

ra1l [238]3 years ago
6 0

Answer:

A!!!!!

2 sqrt2in

Step-by-step explanation:

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What is the y-coordinate of the point that divides the directed
e-lub [12.9K]

Answer:

(D)5

Step-by-step explanation:

Given the point J(-3,1) and K(8,11).

The line segment that divides the segment from J to K in any given ratio can be determined using the formula.

P(x,y)=\left(\dfrac{mx_2+nx_1}{m+n} ,\dfrac{my_2+ny_1}{m+n}\right)

In the given case:

(x_1,y_1)=(-3,1), (x_2,y_2)=(8,11), m:n=2:3

Since we are to determine the y-coordinate of the point that divides JK into a ratio of 2:3, we have:

\dfrac{my_2+ny_1}{m+n}=\dfrac{2*11+3*1}{3+2}\\\\=\dfrac{22+3}{5}\\\\=\dfrac{25}{5}\\\\=5

The y-coordinate of the point that divides the directed  line segment from J to K into a ratio of 2:3 is 5.

The correct option is D.

3 0
3 years ago
PLEASE HELP 30 POINTS!!!!!!!!!!!!!!!!!!!!!!!
Anettt [7]

Since you know the value of "x", you can plug in the value for "x" in the equation.

[When an exponent is negative, you move it to the other side of the fraction to make the exponent positive.]

For example:

x^{-2}  or  \frac{x^{-2}}{1} =\frac{1}{x^2}

\frac{1}{y^{-3}} =\frac{y^3}{1}  or  y³


x = -2

f(x) = 9x + 7

f(-2) = 9(-2) + 7 = -18 + 7 = -11


g(x)=5^x

g(-2)=5^{-2}=\frac{1}{5^2}=\frac{1}{25}   (idk if you should have it as a decimal or a fraction)



x = -1

f(x) = 9x + 7

f(-1) = 9(-1) + 7 = -9 + 7 = -2


g(x)=5^x

g(-1)=5^{-1}=\frac{1}{5}



x = 0

f(x) = 9x + 7

f(0) = 9(0) + 7 = 7


g(x)=5^x

g(0)=5^0=1



x = 1

f(x) = 9x + 7

f(1) = 9(1) + 7 = 9 + 7 = 16


g(x)=5^x

g(1)=5^1=5



x = 2

f(x) = 9x + 7

f(2) = 9(2) + 7 = 18 + 7 = 25


g(x)=5^x

g(2)=5^2=25



You need to determine the solution of f(x) = g(x)

Since you know f(x) = 9x + 7 and g(x)=5^x, you can plug in (9x + 7) for f(x), and (5^x) into g(x)


f(x) = g(x)

9x+7=5^x   You can plug in each value of x into the equation


Your answer is x = 2 because when you plug in 2 for x in the equation, you get 25 = 25

5 0
3 years ago
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