All categories

3 years ago

I NEED HELP ASAP Find the area of the trapezoid by decomposing it into other shapes.

Mathematics

1 answer:

disa [49]3 years ago

7 0

Answer:

Area of the trapezoid is 38 cm²

Step-by-step explanation:

Step 1: Area of the trapezoid can be found by decomposing it into 2 triangles and a rectangle.

Step 2: Find area of first triangle. Given base = 5 cm and height = 4 cm

Substitute in formula for area of triangle = 1/2 base * height

Area of triangle, A1 = 1/2 * 5 * 4 = 10 cm²

Step 3: Find area of rectangle. Given breadth = 4 cm (Same as height of triangles) Length = 6 cm. Substitute in formula for area of rectangle = length * breadth

Area of rectangle, A2 = 4 * 6 = 24 cm²

Step 4: Find area of second triangle. Given height = 4 cm (same as the other triangle) and base = 2 cm (8 cm - 6 cm)

Substitute in formula for area of triangle = 1/2 base * height

Area of triangle, A3 = 1/2 * 2 * 4 = 4 cm²

Step 5: Calculate total area = A1 + A2 + A3 = 10 + 24 + 4 = 38 cm²

You might be interested in

You want $5000 4 years from nowfor a down payment for a car. How much money must be deposited monetly into an account earning 4.

timama [110]

Answer:

$95.5090 must be deposited monthly

Step-by-step explanation:

From the information given:

The annual interest rate (r) = 4.2% = 0.042

Let assume that an amount Y is deposited, then after one month, it will increase to:

$Y ( 1+ \dfrac{0.042}{12})$

The total amount after 4 years will be:

$= Y ( 1+ \dfrac{0.042}{12})^{48}+Y ( 1+ \dfrac{0.042}{12})^{47} +Y ( 1+ \dfrac{0.042}{12})^{46} +...+ Y ( 1+ \dfrac{0.042}{12})$

$= Y ( 1.0035)^{48}+Y ( 1.0035)^{47} +Y( 1.0035)^{46} +...+ Y( 1.0035)$

Using the sum of a geometric progression:

$= Y (1.0035) \dfrac{ (1.0035^{48}-1)}{(1.0035-1)}$

$= Y (1.0035) \dfrac{ (1.0035^{48}-1)}{0.0035}$

The above amount is then equal to $5000

i.e

$= Y (1.0035) \dfrac{ (1.0035^{48}-1)}{0.0035} = 5000$

$Y = \dfrac{5000\times 0.0035}{(1.0035)(1.0035^{48}-1)} \\ \\ \mathbf{Y = \$95.5090}$

8 0

3 years ago

for employees of Papa Tony's pizza or cleaning up at the end of a busy night. There is a list of 43 complete a task that need to

nydimaria [60]

The answer is 10r3

Hope this helps

3 0

3 years ago

A quarterback throws a pass from the 10-yard line, 2 yards from the sideline. A wide received catches the pass on the 64-yard li

satela [25.4K]

I believe it is 60 yards

4 0

3 years ago

Five divided by the sum of three times a number and one is equal to 20. find the number

Kipish [7]

Answer:

Step-by-step explanation:

5 divided by 3 times

5/5/5=.2

.2*20=4

8 0

3 years ago

A plastic lime juice container in the shape of a sphere has a diameter of 4 cm.

Mnenie [13.5K]

Vsphere=(4/3)pir³

d/2=r
given
d=4
d/2=r=4/2=2

Vsphere=(4/3)pi2³
Vsphere=(4/3)pi8
Vsphere=32/3pi
using pi=3.14
Vsphere=33.493333333333 cm³
round
Vsphere=33 cm³

3 0

3 years ago