How is the formula for the area of a triangle related to the formula for the area of a parallelogram?

1 answer:

7 0

Area of a triangle is A= 1/2 b x h and Area of a parallelogram is A=b x h. So I would say the area of a triangle is half of the area of a parallelogram. Or a parallelogram is double the area of a triangle.

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What is <img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B5%7D" id="TexFormula1" title="\frac{1}{5}" alt="\frac{1}{5}" align="a

gulaghasi [49]

the answer is 1

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8 0

3 years ago

What is the answer in the picture below i need help

slega [8]

Heyy this is a super easy problem, and I’m here to help!
Based off our problem here we have a trapezoid. And we are finding AREA. The formula for area of a trapezoid is 1/2h(base 1 + base 2).
Our bases in this problem are 60.5 and 75.5. We are going to addd these together and we’re going to get, 136.
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3 0

2 years ago

Find the equation of the circle that has a diameter with endpoints located at (7, 3) and (7, –5).

posledela

So hmm check the picture below, that's about the circle and the endpoints, but notice, the endpoints make up a segment, namely the diameter of the circle, well.... let's see how long that is, because, the radius is half the diameter

$\bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({{ 7}}\quad ,&{{ 3}})\quad 
% (c,d)
&({{ 7}}\quad ,&{{ -5}})
\end{array}\qquad 
% distance value
d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}
\\\\\\
d=\sqrt{(7-7)^2+(-5-3)^2}\implies d=\sqrt{0+(-8)^2}\implies d=8
\\\\\\
\textit{the radius is half that, so is }\boxed{r=4}$

now.. hmmm notice, the midpoint of the diameter, is the center of the circle, let's check that one out

$\bf \textit{middle point of 2 points }\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({{ 7}}\quad ,&{{ 3}})\quad 
% (c,d)
&({{ 7}}\quad ,&{{ -5}})
\end{array}\qquad 
\left(\cfrac{{{ x_2}} + {{ x_1}}}{2}\quad ,\quad \cfrac{{{ y_2}} + {{ y_1}}}{2} \right)
\\\\\\
\left(\cfrac{{{ 7+7}}}{2}\quad ,\quad \cfrac{{{ -5}} + {{ 3}}}{2} \right)\implies \left( \cfrac{14}{2}\ ,\ \cfrac{-2}{2} \right)\implies \boxed{(7,-1)}$

now.. that we know what the center is, and what the radius is, well

$\bf \textit{equation of a circle}\\\\ 
(x-{{ h}})^2+(y-{{ k}})^2={{ r}}^2
\qquad 
\begin{array}{lllll}
center\ (&{{ h}},&{{ k\quad }})\qquad 
radius=&{{ r}}\\
&7&-1&4
\end{array}$

5 0

3 years ago

The leg of a right triangle is 3 units and the hypotenuse is 6 units. What is the length, in units, of the other leg of the tria

mafiozo [28]

The square root of 27 units

5 0

2 years ago

Read 2 more answers

A city has a population of 380,000 people. Suppose that each year the population grows by 6.5%. What will the population be afte

muminat

The growth formula is:

y = a•(1+x)^(t/p)

y is the end result

a is the initial amount

x is the percent growth as a decimal

t is the total amount of time

p is how often the growth occurred

Note that t and p both need to be the same units, whether that be seconds or days or months or years etc.

So,

y = 380000 • (1.065)^(10/1)

y = 380000 • 1.87713746527

y = 713312.236802

y = 713312

6 0

2 years ago