Find the missing number?

Elise planted a row of flowers in an area with the dimensions shown at the right. what is the area of her flower garden if the d

sweet [91]

Area is measured in square units such as square inches, square feet or square meters. To find the area of a rectangle, multiply the length by the width. The formula is: A = LW , where A is the area, L is the length, W is the width,

A = ( 8ft) (1/2 ft)

A = 4 sq ft

8 0

4 years ago

Triangle D E F is shown. The length of E F is 10, the length of D F is 7, and the length of D E is 12. What information relevant

Zarrin [17]

Answer:

34.98 square units.

Step-by-step explanation:

It is given that DEF is a triangle, EF=10, DF=7 and DE=12.

Information of sides of triangle is relevant to calculating area.

We should use Heron's formula.

According to Heron's formula, the area of triangle is

$A=\sqrt{s(s-a)(s-b)(s-c)}$

where,

$s=\dfrac{a+b+c}{2}$

For triangle DEF, let a=10, b=7 and c=12.

Now,

$s=\dfrac{10+7+12}{2}=\dfrac{29}{2}=14.5$

Area of triangle is

$A=\sqrt{14.5(14.5-10)(14.5-7)(14.5-12)}$

$A=\sqrt{14.5(4.5)(7.5)(2.5)}$

$A=\sqrt{1223.4375}$

$A=34.977671$

$A\approx 34.98$

Therefore, the area of triangle DEF is 34.98 square units.

8 0

4 years ago

Read 2 more answers

You are ordering T-shirt with your school's mascot printed on them. Each T-shirt cost $4.75. The printer charges a setup fee of

masya89 [10]

Answer:

1. n(4.75+30+2.50)

2. 4.75n+30n+2.50n

Step-by-step explanation:

n is the number of shirts they buy. It says that each shirt costs $4.75, and for each shirt they add an extra $30 and $2.50 for the setup fee and to peint each shirt. The word each shows that you have to times. You have to times n by each number or to make it shorter put all three numbers in parenthesis put the n ouside of the parenthesis.

Hope that helps.

4 0

3 years ago

Read 2 more answers

Use the divergence theorem to calculate the surface integral ??s f · ds; that is, calculate the flux of f across s. f(x,y,z = x2

Ymorist [56]

By the divergence theorem, the surface integral given by

$\displaystyle\iint_{\partial S}\mathbf F\cdot\mathbf n\,\mathrm dS$

(where the integral is computed over the entire boundary of the surface) is equivalent to the triple integral

$\displaystyle\iiint_R\nabla\cdot\mathbf F\,\mathrm dV$

where $V$ is the volume of the region $R$ bounded by $\partial S$ .

You have

$\mathbf F(x,y,z)=x^2y\,\mathbf i+xy^2\,\mathbf j+4xyz\,\mathbf k$
$\implies \nabla\cdot\mathbf F=\dfrac{\partial}{\partial x}[x^2y]+\dfrac{\partial}{\partial y}[xy^2]+\dfrac{\partial}{\partial z}[4xyz]=8xy$

and so the integral reduces to

$\displaystyle8\int_{x=0}^{x=5}\int_{y=0}^{y=1}\int_{z=0}^{z=5-x-5y}xy\,\mathrm dz\,\mathrm dy\,\mathrm dx=-\dfrac{250}3$

7 0

4 years ago

Please help

son4ous [18]

Replace the y and x with (6,1)
Where x=6
Y=1

6 0

4 years ago