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3 years ago

3)

Mathematics

1 answer:

ValentinkaMS [17]3 years ago

4 0

Answer:

The longest side in the triangle is 180, as you multiply 18 by 10.

Step-by-step explanation:

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Marlo uses 252 lb of gravel to cover a garden plot of 36 ft2. clear check how many pounds of gravel does it take to cover one sq

timama [110]

7 lb will cover an area of 1 square foot, while 315 lb will cover an area of 45 square feet.

From given question,

252 lb = 36 ft² ..........(1)

The number of pound for an area of 1 square foot is calculated as follows:

x = 1 ft² .......(2)

The area and the amount of gravel are illustrations of proportions.

From (1) and (2) we get an equation,

⇒ x × 36 = 252 × 1

⇒ x = 252/36

⇒ x = 7 lb

We need to find the area that could be covered with 315 lb of gravel

The area to be covered with 315 lb gravel is calculated as follows:

315 lb = y ............(3)

From (1) and (3) we get an equation,

⇒ y × 252 = 36 × 315

⇒ y = 45 ft²

Therefore, 7 lb will cover an area of 1 square foot, while 315 lb will cover an area of 45 square feet.

Learn more about the proportions here:

brainly.com/question/13114933

#SPJ4

4 0

1 year ago

The length of the base edge of a pyramid with a regular hexagon base is represented as x. The height of the pyramid is 3 times l

sergij07 [2.7K]

Answer:

(a)

h=3x

(b)

$A=\frac{\sqrt{3} }{4} x^2$

(c)

$A=\frac{3\sqrt{3} }{2} x^2$

(d)

$V=\frac{3\sqrt{3} }{2} x^3$ units^3

Step-by-step explanation:

We are given a regular hexagon pyramid

Since, it is regular hexagon

so, value of edge of all sides must be same

The length of the base edge of a pyramid with a regular hexagon base is represented as x

so, edge of base =x

b=x

Let's assume each blank spaces as a , b , c, d

we will find value for each spaces

(a)

The height of the pyramid is 3 times longer than the base edge

so, height =3*edge of base

height=3x

h=3x

(b)

Since, it is in units^2

so, it is given to find area

we know that

area of equilateral triangle is

$=\frac{\sqrt{3} }{4} b^2$

h=3x

b=x

now, we can plug values

$A=\frac{\sqrt{3} }{4} x^2$

(c)

we know that

there are six such triangles in the base of hexagon

So,

Area of base of hexagon = 6* (area of triangle)

Area of base of hexagon is

$=6\times \frac{\sqrt{3} }{4} x^2$

$=\frac{3\sqrt{3} }{2} x^2$

(d)

Volume=(1/3)* (Area of hexagon)*(height of pyramid)

now, we can plug values

Volume is

$=\frac{1}{3}\times\frac{3\sqrt{3} }{2} x^2\times (3x)$

$V=\frac{3\sqrt{3} }{2} x^3$ units^3

3 0

3 years ago

Read 2 more answers

BRAINLIEST ASAP! PLEASE HELP ME :)

masha68 [24]

Answer:

○ $\displaystyle 0 + 2kπ$

Explanation:

See above explanation

I am joyous to assist you anytime.

5 0

3 years ago

A line with a slope of -1 passes through the point (2,-1). If (-4, p) is another point on the line,

Thepotemich [5.8K]

$(\stackrel{x_1}{2}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{-4}~,~\stackrel{y_2}{p}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{p}-\stackrel{y1}{(-1)}}}{\underset{run} {\underset{x_2}{-4}-\underset{x_1}{2}}}~~= ~~\stackrel{\stackrel{m}{\downarrow }}{-1}\implies \cfrac{p+1}{-6}=-1\implies p+1=6\implies p=5$

7 0

2 years ago

The members of the boosters organization at your high school bought new balls for the school . They spent $ 22.00 per basketball

azamat

The askser is 283828288288 god it’s da key bro

6 0

3 years ago