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2 years ago

Write and solve a proportion to complete the statement. 12.6 kg= ? ib

Mathematics

1 answer:

trapecia [35]2 years ago

7 0

Answer:

27.78 pounds

Happy to help

Hope it's write

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One factor in flood safety along a levee is the area that will absorb water should the levee break. The coordinates that make up

Anit [1.1K]

Let

$A(0,0)\\ B (2.8, 2.1)\\C(4.3, 4.4)$

using a graph tool

see the attached figure

The figure is a triangle

we know that

The Heron's Formula is a method for calculating the area of a triangle when you know the lengths of all three sides.

Hero's Formula is equal to

$Area=\sqrt{p*(p-a)*(p-b)*(p-c)}$

where

p is is half the perimeter of the triangle

a,b,c are the lengths of the sides of a triangle

Step $1$

Find the length sides of the triangle

a) Find the distance AB

$d =\sqrt{(y2-y1)^{2} +(x2-x1)^{2}}$

Substitute

$d =\sqrt{(2.1-0)^{2} +(2.8-0)^{2}}$

$d =3.5\ mi}$

b) Find the distance AC

$d =\sqrt{(y2-y1)^{2} +(x2-x1)^{2}}$

Substitute

$d =\sqrt{(4.4-0)^{2} +(4.3-0)^{2}}$

$d =6.15\ mi}$

c) Find the distance BC

$d =\sqrt{(y2-y1)^{2} +(x2-x1)^{2}}$

Substitute

$d =\sqrt{(4.4-2.1)^{2} +(4.3-2.8)^{2}}$

$d =2.75\ mi}$

Step $2$

Find the perimeter of the triangle

$Perimeter= 3.5+6.15+2.75 =12.4\ mi$

Find the half of the perimeter

$p=\frac{12.4}{2} = 6.2\ mi$

Step $3$

Find the area of the triangle

$Area=\sqrt{6.2*(6.2-3.5)*(6.2-6.15)*(6.2-2.75)}$

$Area=\sqrt{6.2*(2.7)*(0.05)*(3.45)}$

$Area= 1.69\ mi^{2}$

therefore

the answer is the option

a) 1.65 mi^2.

4 0

3 years ago

Read 2 more answers

The revenue generated by the band is given by the expression 50x+150y.

Dafna1 [17]

Answer:

They exceed their goal by $150.

Step-by-step explanation:

If x = weekday shows and y = weekend shows, then

50(15) + 150(6)

750 + 900 = 1650

1650 - 1500 = 150

8 0

1 year ago

Isabella has twice as much money invested at 4% as she has invested at 3%, and she has $500 more invested at 5% than she has at

adell [148]

Invested at 3% = x
invested at 4% = 2x
invested at 5% = x+500

0.03x + 0.04(2x) + 0.05(x+500) = 2025
0.03x + 0.08x +0.05x +25 = 2025
0.16x = 2000
x= 12,500
4% = 2x = 12,500 * 2 = $25,000

3 0

2 years ago

Write the equation of the parabola in standard form.

Inessa [10]

I don’t know if that’s what you wanted but I hope I helped ;D (sorry for my bad english)

6 0

2 years ago

How much interest will Hannah

baherus [9]

keeping in mind that a year has 12 months, thus 6 months is really 6/12 of a year.

$~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$630\\ r=rate\to 6.5\%\to \frac{6.5}{100}\dotfill &0.065\\ t=years\to \frac{6}{12}\dotfill &\frac{1}{2} \end{cases} \\\\\\ I = (630)(0.065)(\frac{1}{2}) \implies I\approx 20.48$

6 0

2 years ago