Step-by-step explanation:
it clearly consists of 2 rectangles and 1 triangle (as you tried correctly to point out by drawing the separating lines).
we only need to calculate all 3 areas and add them up for the total.
the area of a rectangle is
length × width
so, in our 2 cases we have
6 × 2 = 12 km²
5 × (3 + 2 + 3) = 5×8 = 40 km²
the area of a triangle is
baseline × height / 2
in case of a right-angled triangle the 2 sides enclosing the 90° angle can be used as baseline and height.
so, in our case
6 × (5 + 2 + (3 + 2 + 3 - 2)) / 2 = 6×(7 + 6)/2 = 3×13 = 39 km²
in total, the whole area is
12 + 40 + 39 = 91 km²
Answer:
yes razi is correct pateran 3
Step-by-step explanation:
F(x) = x^3 + 2x^2 - x - 2
<span>f(x) = x^2(x + 2) - (x + 2) </span>
<span>f(x) = (x^2 - 1)(x + 2) </span>
<span>f(x) = (x + 1)(x - 1)(x + 2) </span>
<span>Roots: -1, 1, -2 </span>
Answer:
114.5 in³
Step-by-step explanation:
Volume of cone:
⅓ × 3.14 × 8² × 12
= 803.84 cm³
Volume of hemisphere:
⅔ × 3.14 × 8³
= 1071.786667 cm³
Total = 803.84 + 1071.786667
= 1875.626667 cm³
1 cm = 0.393701 inches
1 cm³ = 0.393701³ inches
Volume in in³:
1875.786667/0.393701³
= 114.4579471 in³
Given:
A figure ABCP.
To find:
The measure of CP.
Solution:
In triangles ABP and CBP,
(Given right angles)
(Given)
(Common side)
Now,
(By AAS property of congruence)
We know that the corresponding parts of congruent triangles are congruent.
Therefore, the measure of CP is 8 units.
