2 bh...

Questions

October 2022 1 10 Report

Find the area of a triangle whose height is (4y + 2) and whose base is (2y-1). Suppose y is 5 meters, what is the area of the triangle? Formula: A = 1/2 bh

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KAntoineDoix

Verified answer

✒️TRIANGLE

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$\large\underline{\mathbb{PROBLEM}:}$

Find the area of a triangle whose height is (4y + 2) and whose base is (2y-1). Suppose y is 5 meters, what is the area of the triangle?

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$\large\underline{\mathbb{ANSWER}:}$

$\qquad \Large \:\: \rm{Area = 99 \: sq. \: meters}$

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$\large\underline{\mathbb{SOLUTION}:}$

» Substitute the base and the height to the formula.

$\begin{align} & \bold{Formula:} \\ & \:\: \boxed{\rm A = \frac{\,1\,}{2} bh} \end{align}$

$A = \frac{\,1\,}{2} (2y - 1)(4y + 2) \\$

$A = \frac{\,1\,}{2} (8y^2 + 4y - 4y - 2) \\$

$A = \frac{\,1\,}{2} (8y^2 - 2) \\$

$A = \frac{\,8y^2 - 2\,}{2} \\$

$A = 4y^2 - 1$

» Substitute y as 5 to find the area of the triangle.

$A = 4(5)^2 - 1$

$A = 4(25) - 1$

$A = 100 - 1$

$A = 99$

$\therefore$ The area of the triangle is 99 sq. meters

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hoyeonjung73827 WOWOWOW THANK YOU SM!!

hoyeonjung73827 pwede po ba pasagot yung recent question ko? hehe

spicyroar Activity 2: Inverse Variation

A. Determine if the given tables below express an inverse variation between the variables. If they do,
find the constant of variation and an equation that defines the relation.

1.
N 15 12 10 8 6
C 8 10 12 15 20
N = number of notebooks that can be bought
C = cost per book

2.
x 2 2.4 34
y 12 10 8 6
x and y are lengths and widths of rectangles with fixed area.

3.
I 120 240 360 480
P 1000 2000 3000 4000
I is the interest earned for a fixed time and P, the principal

spicyroar 4.
s 12 16 20 24
t 3 4 5 6

5.
m -3 -2 4 12
N -4 -6 3 1

spicyroar pasagot naman po ako jan