Answer:
The entire area of the sailboat is 60cm²
Step-by-step explanation:
You can find the area of this shape by breaking it down into simpler shapes and adding up their individual areas.
In this case, the areas we'll use are the rectangle at the bottom, and the pair of triangles at the top.
Because the two triangles can be put together to form a single triangle, we don't need to measure them independently. We can simply take the total length of their bases, multiply it by their height, and divide by two. This follows the rule that the area of a triangle is equal to the area of the square that contains it divided by two.
(2cm + 3cm) × 6cm
= 5cm × 6cm
= 30cm²
The rectangle's area is of course equal to its width times its height, so we can say:
2.5cm × 12cm
= 30cm²
The total area of the shapes then is 30cm² + 30 cm², giving us a total area of 60cm²
Answer:
Y=32
Step-by-step explanation:
Answer: 5.0625 or 5 1/16
Step-by-step explanation:
im smart
Answer:
Isosceles Triangle; Acute Triangle
Step-by-step explanation:
Review your definitions of the different types of triangles:
acute triangle- a triangle that has three acute (less than 90 degrees) angles
obtuse triangle- a triangle that has an obtuse (greater than 90 degrees) angle.
right triangle- a triangle that had one right (90 degrees) angles
isosceles triangle- a triangle with two congruent sides and one unique side and angle.
equilateral triangle- a triangle with three congruent sides and three congruent angles.
scalene triangle- a triangle with no congruent sides and no congruent angles.
With these definitions, we can classify ΔPQR as an isosceles acute triangle.
The answer is x².
f(x) = <span>5x - 6
</span>g(x) = x²<span> - 5x + 6
(f + g)(x) = f(x) + g(x)
= </span>5x - 6 + x² - 5x + 6
= x² + 5x - 5x + 6 - 6
= x² + 0 + 0
= x²