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Oduvanchick [21]
2 years ago
8

Please show me step by step so I can learn to explain it to my son.

Mathematics
1 answer:
aleksklad [387]2 years ago
6 0
These are the steps:
1. Find the area of the trapezium {Whole figure).
2. FInd the area of the rectangle (unshaded).
3. Area of the shaded = Area of trapezium - Area of the rectangle.

<u>Step 1:  Find the area of the trapezium</u>:

Formula : Area of trapezium = 1/2 (a + b)h 

Area = 1/2 ( 25 + 15) (12) = 240 yd²

<u>Step </u><u>2 :</u><u> Find the area of the rectangle</u>:

Formula : Area = Length x Width

Area = 12 x 3 = 36 yd²

<u>Step 3: Find the shaded region:</u>

240 - 36 = 204 yd²

Answer: 204 yd²

You might be interested in
What is y if x is 12 for this slope intercept form equation y=-1/3x-2
natta225 [31]

Answer:

-6

Step-by-step explanation:

y=-1/3(12)-2

=(-1/3x12/1)-2

=-4-2

y=-6

8 0
2 years ago
Read 2 more answers
A right rectangular prism is shown. The two dimensional net is also shown. Find the surface area of this prism.
Natasha_Volkova [10]

Hey!

------------------------------------------------

Surface Area Formula: 2LW * 2LH * 2WH

------------------------------------------------

2LW:

5 x 1 = 5

5 x 2 = 10

------------------------------------------------

2LH:

4 x 1 = 4

4 x 2 = 8

------------------------------------------------

2WH:

5 x 4 = 20

20 x 2 = 40

------------------------------------------------

Surface Area:

40 + 8 + 10= 58

------------------------------------------------

Answer:

D) 58 cm2

------------------------------------------------

Hope This Helped! Good Luck!

5 0
3 years ago
Solve 7r+ 2 = 5(r – 4) ​
AveGali [126]

Multiply the bracket by 5

I used PEMDAS

P= parenthesis

E= exponents

M=multiplication

D= division

A= addition

S= subtraction

7r+2= 5(r-4)

7r+2= 5r-20

Move 5r to the left hand side . Positive 5r changes to negative 5r

7r-5r+2= 5r-5r-20

2r+2=- 20

2r+2-2= -20-2

Move positive 2 to the right hand side. Changes to negative -2

2r+2-2= -20-2

2r= -22

Divide by 2 for 2r and -22

2r/2= -22/2

r= -11

Answer is r= -11

6 0
3 years ago
Read 2 more answers
Which graph represents the function of f(x) 9x^2 -36 / 3x + 6
Finger [1]

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

f(x)=\frac{9x^{2}-36}{3x+6}

Remember that the denominator cannot be equal to zero

so

The value of x cannot be equal to x=-2

<em>Simplify the numerator</em>

9x^{2}-36=(3x+6)(3x-6) ----> by difference of squares

substitute

f(x)=\frac{(3x+6)(3x-6)}{3x+6}

simplify

f(x)=3x-6

The domain is all real numbers except the value of x=-2

The y-intercept is the point (0,-6) ---> value of y when the value of x is equal to zero)

The x-intercept is the point (2,0) ---> value of x when the value of y is equal to zero)

therefore

The graph in the attached figure

7 0
3 years ago
The third-grade class sells lemonade to raise funds. After selling 58 liters of lemonade in 1 week, they still
Evgesh-ka [11]

Answer: 104 liters

Step-by-step explanation:

1. Add 58 and 46.

2. Your answer is 104 liters.

Hope this helps!

4 0
3 years ago
Read 2 more answers
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