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BaLLatris [955]

2 years ago

11

What is the area of the figure below A: 22cm2 B: 24cm2 C: 48.5cm2 D: 56cm2

1 answer:

tangare [24]2 years ago

6 0

Answer:

48.5cm²

Step-by-step explanation:

The figure is can be divided into 3 parts:

The square, The rectangle and The triangle

We will be finding the area of each shape.

The square: Area = length * length

Length of square = 3. Area = 3 cm * 3 cm = 9 cm²

The rectangle: Area = length * breadth

Length = 8 cm; Breadth = 4 cm. Area = 8 cm * 4 cm = 32 cm²

The triangle: Area = 0.5 * height * base

Height = 5 cm; Base = 3 cm. Area = 0.5 * 5 * 3 = 7.5 cm²

Base is the shorter side of the triangle that is not the diagonal side (hypotenuse). It is gotten by subtracting the given length of the bottom part of the figure which is 4 cm from the top part of the figure which is 7 cm and it is also the other side of the square that is not given.

Height is the longer side of the triangle that is not the hypotenuse.

It is gotten by subtracting the given length of the right side which is 3 cm from the given length of the left side of the figure which is 8 cm.

Base and height can be used interchangeably.

Adding all the areas together: 9 + 32 + 7.5 = 48.5 cm²

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3. Write an equation of a line that is perpendicular to the line x – 2y = 8.

xenn [34]

Answer:

y=0.5x+40

Step-by-step explanation:

Copy the equation.

x-2y=8

Subtract x from both sides.

-2y=-x-8

Divide both sides by -2.

y=0.5x+4

Now we know the slope is 0.5.

Any line with a slope of 0.5 will be perpendiculr to the original line.

One that you can use is y=0.5x+40.

7 0

3 years ago

Explain how numbers with a 5 in the ones place are not prime numbers

aleksandrvk [35]

Because they will always be divisible by 5

7 0

3 years ago

Read 2 more answers

Calculate the length b to two decimal places.

Andrej [43]

Answer:

B. 21.64

Step-by-step explanation:

We have been given a triangle and we are asked to find the length of AC (b).

We will use law of cosines to find the length of side AC.

$c^{2}=a^{2}+b^{2}-2ab \text{ cos }\theta$

Upon substituting our given values in the formula we will get,

$(AC)^{2}=15^{2}+12^{2}-2\times 15\times 12 \text{ cos}(106)$

$(AC)^{2}=225+144-360\text{ cos}(106)$

$(AC)^{2}=369-360(-0.275637355817)$

$(AC)^{2}=369+99.22944809412$

$(AC)^{2}=468.22944809412$

Upon taking square root of both sides of our equation we will be get,

$AC=\sqrt{468.22944809412}$

$AC=21.6386101238993629\approx 21.64$

Therefore, the length of b is 21.64 and option B is the correct choice.

6 0

3 years ago

PLEASE HELP QUICK i dont need work to be shown

andre [41]

Answer:

Step-by-step explanation:

7 0

3 years ago

What is the answer for number 8 and pls give step by step

Pie

Answer:

Trapezoid 1 (left side):

Base 1 = 2

Base 2 = 5

Trapezoid 2 (right side):

Base 1 = 6

Base 2 = 8

Step-by-step explanation:

<u>1st trapezoid:</u>

b_1 = x

b_2 = x + 3

h = 4

Hence, area (from formula) would be:

$A=\frac{h}{2}(b_1+b_2)\\A=\frac{4}{2}(x+x+3)\\A=2(2x+3)\\A=4x+6$

<u>2nd trapezoid:</u>

b_1 = 3x

b_2 = 4x

h = 2

Putting into formula, we get:

$A=\frac{h}{2}(b_1+b_2)\\A=\frac{2}{2}(3x+4x)\\A=1(7x)\\A=7x$

Let's equate both equations for area and find x first:

$4x+6=7x\\6=7x-4x\\6=3x\\x=\frac{6}{3}\\x=2$

We can plug in 2 into x and find length of each base of each trapezoid.

Trapezoid 1 (left side):

Base 1 = x = 2

Base 2 = x + 3 = 2 + 3 = 5

Trapezoid 2 (right side):

Base 1 = 3x = 3(2) = 6

Base 2 = 4x = 4(2) = 8

8 0

3 years ago