Answer:
17.6 m²
Step-by-step explanation:
Given the ratio of similar shapes = a : b, then
area of shapes = a ² : b²
Δ PTQ and Δ PRS are similar and so the ratio of corresponding sides are equal, that is
PT : PR = 6 : 9 = 2 : 3, thus
ratio of areas = 2² : 3² = 4 : 9
let the area of Δ PQT be x, then using proportion
= ( cross- multiply )
9x = 4(x + 22) ← distribute
9x = 4x + 88 ( subtract 4x from both sides )
5x = 88 ( divide both sides by 5 )
x = 17.6
Thus area of Δ PQT = 17.6 m²
For transaction 3 it should be -155.15 and for transaction 4 it would be -223.75
Answer:
Step-by-step explanation:
Write down the slope-intercept form:
Where m is the slope and b is the y-intercept.
To turn the equation into slope-intercept form, isolate y on the left-hand side:
Rearrange the equation a bit:
Answer:
B
Step-by-step explanation:
Use a calculator and do it step by step.
Answer:
1 1/3
Step-by-step explanation:
2/5 x 10/3
<em>Multiply across - </em>
10 x 2 = 20
5 x 3 = 15
20/15
<em>Simplify - </em>
20/15 to 4/3
Divide 4 by 3
You get 1 1/3