Prove using identities <br> A minus A intersection B = A-B

Madeline uses this scale model of a design she plans to paint on a wall. She uses the key 1 cm = 1. 5 ft. One gallon of paint wi

Arte-miy333 [17]

The amount of paint required by Madeline will be 0.8325 gallons

<h3>What amount of paint will be required by Madeline?</h3>

Given that

$1cm=1.5ft$

We will first find the area of the wall

Area of the wall = Area of trapezoidal shape+ Area of triangular shape

Area of trapezoid = $\dfrac{a+b}{2} \times h$

a= 4cm

b=14cm

h=10cm

putting this values

$A=\dfrac{4+14}{2} \times 10$

$A=90cm^{2}$

Area of triangular shape= $\dfrac{1}{2} \times width\times height$

width=14cm

height=8cm

putting the values

$A=\dfrac{1}{2} \times 14\times 8=58cm^{2}$

$Total area of the wall= 90+58=148cm^{2}$

since we have

$1cm=1.5ft$

$148cm^{2} = 148\times (1.5)^{2} =333 ft^{2}$

Now

$1gallon = 400ft^{2}$

so for $333 ft^{2}$ amount of paint in gallons required will be

$1ft^{2} =\dfrac{1}{400} gallons$

$333ft^{2} =\dfrac{333}{400} gallons=0.8325gallons$

Thus the amount of paint required by Madeline will be 0.8325 gallons

To know more about the area of trapezoid follow

brainly.com/question/1463152

4 0

1 year ago

Which statement is true about the expression 7(2x 5)A. The expression has two factorsB. The expression has three factors.C. The

agasfer [191]

I think that the answer is a because you only have to terms after you distribute hope this helps you

7 0

3 years ago

Solve the equation.<br> у+ 3 = -у +9<br> Оy = 1<br> Оy= 3<br> O y=6<br> Оy= 9

Triss [41]

Answer:

y = 3

Step-by-step explanation:

Solve for y:

y + 3 = 9 - y

Add y to both sides:

y + y + 3 = (y - y) + 9

y - y = 0:

y + y + 3 = 9

y + y = 2 y:

2 y + 3 = 9

Subtract 3 from both sides:

2 y + (3 - 3) = 9 - 3

3 - 3 = 0:

2 y = 9 - 3

9 - 3 = 6:

2 y = 6

Divide both sides of 2 y = 6 by 2:

(2 y)/2 = 6/2

2/2 = 1:

y = 6/2

The gcd of 6 and 2 is 2, so 6/2 = (2×3)/(2×1) = 2/2×3 = 3:

Answer: y = 3

5 0

3 years ago

Read 2 more answers

Daniela facing a 12 ft tall statue that is 15 ft away. She can see the reflection of the top of the statue in a puddle on the gr

mote1985 [20]

Answer:

36 ft

Step-by-step explanation:

Daniela facing a 12 ft tall statue that is 15 ft away. She can see the reflection of the top of the statue in a puddle on the ground 5 ft in front of her. How tall is Daniela?

Hence, this is calculated as:

5ft/15ft = 12 ft/Daniela's height

Cross Multiply

5ft × Daniela's height = 15ft × 12ft

Daniela's height = 15ft × 12 ft/5ft

= 36ft

Therefore, Daniela's height = 36 ft

4 0

2 years ago

What is the greatest common factor of x^5, x^6, x^8?

lozanna [386]

Answer: I think the answer is x5

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Prove using identities A minus A intersection B = A-B