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3 years ago

6^2 + 3 √9 show work

Mathematics

2 answers:

professor190 [17]3 years ago

4 0

Answer:

Step-by-step explanation:

6^2 + 3√9

=36 + (3 x 3)

=36 + 9

= 45

Mice21 [21]3 years ago

4 0

Answer:

Step-by-step explanation:

6^2 = (6x6)

36+3 √9

you can simplify √9 to 3

36+3(3)

36+9

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A school wishes to enclose its rectangular playground using 480 meters of fencing.

Harlamova29_29 [7]

Answer:

Part a) $A(x)=(-x^2+240x)\ m^2$

Part b) The side length x that give the maximum area is 120 meters

Part c) The maximum area is 14,400 square meters

Step-by-step explanation:

The picture of the question in the attached figure

Part a) Find a function that gives the area A(x) of the playground (in square meters) in terms of x

we know that

The perimeter of the rectangular playground is given by

$P=2(L+W)$

we have

$P=480\ m\\L=x\ m$

substitute

$480=2(x+W)$

solve for W

$240=x+W\\W=(240-x)\ m$

Find the area of the rectangular playground

The area is given by

$A=LW$

we have

$L=x\ m\\W=(240-x)\ m$

substitute

$A=x(240-x)\\A=-x^2+240x$

Convert to function notation

$A(x)=(-x^2+240x)\ m^2$

Part b) What side length x gives the maximum area that the playground can have?

we have

$A(x)=-x^2+240x$

This function represent a vertical parabola open downward (the leading coefficient is negative)

The vertex represent a maximum

The x-coordinate of the vertex represent the length that give the maximum area that the playground can have

Convert the quadratic equation into vertex form

$A(x)=-x^2+240x$

Factor -1

$A(x)=-(x^2-240x)$

Complete the square

$A(x)=-(x^2-240x+120^2)+120^2$

$A(x)=-(x^2-240x+14,400)+14,400$

$A(x)=-(x-120)^2+14,400$

The vertex is the point (120,14,400)

therefore

The side length x that give the maximum area is 120 meters

Part c) What is the maximum area that the playground can have?

we know that

The y-coordinate of the vertex represent the maximum area

The vertex is the point (120,14,400) -----> see part b)

therefore

The maximum area is 14,400 square meters

Verify

$x=120\ m$

$W=(240-120)=120\ m$

The playground is a square

$A=120^2=14,400\ m^2$

8 0

3 years ago

Set up a proportion and solve: Marlon spent $18 for 12 gallons of

Airida [17]

18/12=22.50/n
he could buy 15 gallons

5 0

3 years ago

7. What is the slope of a line that passes through the origin and (-3,-2)?

Crazy boy [7]

Answer:

Step-by-step explanation:

( 0, 0) and (-3 , -2)

Slope = Change in y ÷ change in x

$= \frac{-2-0}{-3-0}\\\\=\frac{-2}{-3}\\\\=\frac{2}{3}$

3 0

3 years ago

HELP ME, SOMEONE!!!

olya-2409 [2.1K]

Answer:

10KL/1000L

8KL/800L

800L/8KL

Step-by-step explanation:

7 0

3 years ago

An artists builds a sculpture out of metal and wood that weighs 14.9 kilograms.3/4 of this weight is metal,and the rest is wood.

Softa [21]

Given is a sculpture that is built up of metal and wood, and the weight of this sculpture is 14.9 kilograms.

It says that three-fourth of the total weight is metal and says to find the weight of wooden part.

We can find the weight of metal part and then subtract it from the total weight to calculate the answer.

Total weight = 14.9 kilograms.

Metal part = three-fourth of total weight = $\frac{3}{4} *14.9=\frac{44.7}{4} =11.175 \;kilograms$

Wooden part = 14.9 - 11.175 = 3.725 kilograms.

Hence, the wooden part is 3.725 kilograms.

7 0

3 years ago

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