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2 years ago

Whoever answers these 6 area of composite shapes will get brainliest.

Mathematics

1 answer:

german2 years ago

5 0

Answer:

80 mi²
63 in²
32 m²
44 cm²
59.5 ft²
48 km²

Step-by-step explanation:

Q1

8 x 4 + 12 x 4
32 + 48
80 mi²

Q2

5 x 3 + 12 x 4
15 + 48
63 in²

Q3

4 x 2 + 8 x 3
8 + 24
32 m²

Q4

10 x 4 + 2 x 2
40 + 4
44 cm²

Q5

5 x 2 + 11 x 4.5
10 + 49.5
59.5 ft²

Q6

3 x 1 + 9 x 5
3 + 45
48 km²

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Anna007 [38]

Answer:

Part A: Angle R is not a right angle.

Part B; Angle GRT' is a right angle.

Step-by-step explanation:

Part A:

From the given figure it is noticed that the vertices of the triangle are G(-6,5), R(-3,1) and T(2,6).

Slope formula

$m=\frac{y_2-y_1}{x_2-x_1}$

The product of slopes of two perpendicular lines is -1.

Slope of GR is

$\text{Slope of GR}=\frac{1-5}{-3-(-6)}=\frac{-4}{3}$

Slope of RT is

$\text{Slope of RT}=\frac{6-1}{2-(-3)}=\frac{5}{5}=1$

Product of slopes of GR and RT is

$\frac{-4}{3}\times 1=\frac{-4}{3}\neq -1$

Therefore lines GR and RT are not perpendicular to each other and angle R is not a right angle.

Part B:

If vertex T translated by rule

$(x,y)\rightarrow(x-1,y-2)$

Then the coordinates of T' are

$(2,6)\rightarrow(2-1,6-2)$

$(2,6)\rightarrow(1,4)$

Slope of RT' is

$\text{Slope of RT'}=\frac{4-1}{1-(-3)}=\frac{3}{4}$

Product of slopes of GR and RT' is

$\frac{-4}{3}\times \frac{3}{4}=-1$

Since the product of slopes is -1, therefore the lines GR and RT' are perpendicular to each other and angle GRT' is a right angle.

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3 years ago

Please help fast its quiz. :(

dezoksy [38]

Answer:

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2 years ago

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weeeeeb [17]

Answer: $32\pi$ cubic units.

Step-by-step explanation:

You can use this formula for calculate the volume of a cone:

$V_{cone}=\frac{1}{3}\pi r^2h$

Where "r" is the radius and "h" is the height.

You know that the diameter of the base of the cone measures 8 units, then, the radius can be found by dividing the diameter by 2:

$r=\frac{8units}{2}\\\\r=4units$

Since you already know that height and the radius, you can substitute them into the formula. Then, the volume of this cone is:

$V_{cone}=\frac{1}{3}\pi (4units)^2(6units)$

$V_{cone}=32\pi \ units^3$

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