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3 years ago

The area of a square game court is 144 square feet. How long is the side of the court?

Mathematics

1 answer:

Veronika [31]3 years ago

7 0

Answer:

12 feet

Step-by-step explanation:

Since the side length is a length, it will be positive and not negative, so we solve this equation for s by taking the positive square root of both sides of the equation. We get that s = 12, so the side length of a square with an area of 144 square feet is 12 feet.While -12 is "a square root" of 144, the square root operation here denotes a function from nonnegative real numbers to nonnegative real numbers. A function can only produce a single result. So the expression √144 evaluates to the positive root 12.Because one square foot is 144 square inches, divide the total number of square inches by 144.

Hope that was helpful.Thank you!!!

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3 years ago

Solve the following equation for h.<br> r+3Q/h=t

Arada [10]

Answer:

$\bold{h=\dfrac{3Q}{t-r}}$

Step-by-step explanation:

$\bold{r+\frac{3Q}h=t}\\-r\qquad\ -r\\\bold{\frac{3Q}h=t-r}\\\cdot h\qquad \cdot h\\ \bold{3Q=(t-r)h}\\^{\div(t-r)\quad\div(t-r)}\\\bold{\dfrac{3Q}{t-r}=h}$

Or, if you mean (r+3Q)/h=t:

$\bold{\frac{r+3Q}h=t}\\{}\ \ \cdot h\quad\ \cdot h\\\bold{r+3Q=ht}\\{}\ \ \div t\qquad \div t\\\bold{\dfrac{r+3Q}{t}=h}\\\\\bold{h=\dfrac{r+3Q}{t}}$

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3 years ago

What is the formula for finding the measure of a missing angle on a triangle?

Marat540 [252]

Answer:

Step-by-step explanation:

you add two angles and then subtract it from 180 degrees

Hopefully it is right

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3 0

3 years ago

List the ordered pairs in the equivalence relations produced by these partitions of {a, b, c, d, e, f, g}: a) {a,b},{c,d},{e,f,g

finlep [7]

Answer:

a) {a,b} , {c,d} , {e,f,g},{a , b } = {(a,a) (b,b) (a,b) (b,a)},{c , d } = {(c,c) (d,d) (c,d) (d , c) } ,{e,f,g} = {(e,e) (e,f) (f,e) (e,g) (f,f) (f,g) ( g,e) (g,f)(g,g)}

b) { (a,a)(b,b)(c,c)(c,d)(d,c)(d,d)(e,e)(e,f)(f,e)(f,f)(g,g)

c) {(a,a)(a,b)(b,b)(b,a)(a,c)(c,a)(b,c)(c,b)(c,c)(d,a)(a,d)(b,d)(d,b)(d,c)(c,d)(d,d)(c,c)(c,f)(f,c)(f,f)(c,g)(g,c)(f,g)(g,f)(g,g)

Step-by-step explanation:

a) {a,b} , {c,d} , {e,f,g}

{a , b } = {(a,a) (b,b) (a,b) (b,a)}

{c , d } = {(c,c) (d,d) (c,d) (d , c) }

{e,f,g} = {(e,e) (e,f) (f,e) (e,g) (f,f) (f,g) ( g,e) (g,f) (g,g)}

b) {a} ,{b},{c,d} ,{e,f},{g}

{ (a,a)(b,b)(c,c)(c,d)(d,c)(d,d)(e,e)(e,f)(f,e)(f,f)(g,g)}

c) {a,b,c,d},{e,f,g}

{(a,a)(a,b)(b,b)(b,a)(a,c)(c,a)(b,c)(c,b)(c,c)(d,a)(a,d)(b,d)(d,b)(d,c)(c,d)(d,d)(c,c)(c,f)(f,c)(f,f)(c,g)(g,c)(f,g)(g,f)(g,g)

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3 years ago

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natka813 [3]

Answer:

$2x\sqrt{40x}-2x\sqrt{5}$

Step-by-step explanation:

$2x\sqrt{40x}-2x\sqrt{5}$ is found by first, siplifying the radicals in the parenthesis. $\sqrt{8x^{2} }$ can be simplified as $2x\sqrt{2}$ and $-2\sqrt{x}$ stays the same. Now we have to multiply these two by $\sqrt{5x}$ which then results in $2x\sqrt{40x}-2x\sqrt{5}$

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