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Juli2301 [7.4K]
3 years ago
11

I need your help is this all right or worng

Mathematics
1 answer:
IRINA_888 [86]3 years ago
3 0

w r o n g - - - - - -

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Ralph is painting the barn below, including the sides and roof. He wants to know how much paint to purchase.
____ [38]

Answer:

a) 2899.33

b) 51

c) 1222

d) 14700

Step-by-step explanation:

a) Find out the area of all sides one by one and add it at the end

<u>Area of triangle at front + Area of triangle at the back</u>

Area of triangle = 1/2 x base x height + 1/2 x base x height

Area = 1/2 x 20 x 4 + 1/2 x 20 x 4

Area = 40 + 40

Area = 80

<u>Area of rectangle at front + Area of rectangle at back</u>

Area of rectangle = length x breadth + length x breadth

Area = 20 x 15 + 20 x 15

Area = 300 + 300

Area = 600

<u>Area of rectangle on both sides</u>

Area of rectangle = length x breadth x 2

Area = 45 x 15 x 2 = 1350

<u>Area of rectangle at the bottom</u>

Area of rectangle = length x breadth

Area = 45 x 20 = 900

<u>Area of rectangle at both sides of the roof</u>

Find the side length of the roof through the triangle

c² = a² + b²

c² = 4² + 10²

c = √116

c = 2√29

Area of rectangle = length x breadth x 2

Area = 45 x 2√29 x 2

Area = 969.33

<u>Add all areas</u>

Total surface area = 80 + 600 + 350 + 900 + 969.33

Total surface area = 2899.33

b)

1 paint can cover 57 square feet

x paints can cover 2899.33 square feet

1 : 57

x : 2899.33

Cross multiply

57x = 2899.33

x = 50.86 rounded off to 51

Therefore, 51 paint cans should be purchased to paint.

c)

1 paint costs $23.50

52 paints cost $x

1 : 23.5

52 : x

Cross multiply

x = 52 x 23.5

x = $1222

Therefore, the paint will cost $1222.

d)

Volume of cuboid = length x width x height

Volume = 20 x 45 x 15

Volume = 13500

Volume of pyramid = 1/3 x Base Area x Height

Volume = 1/3 x (20 x 45) x 4

Volume = 1200

Total Volume = 1200 + 13500

Total Volume = 14700

!!

3 1
3 years ago
The question is: type your equation for the following pattern
Nana76 [90]

Answer:

\large\boxed{a(n)=16\left(\dfrac{1}{2}\right)^{n-1}}

Step-by-step explanation:

a(1)=16\\\\a(2)=16:2=8\\\\a(3)=8:2=4\\\\a(4)=4:2=2\\\\a(5)=2:2=1\\\\a(n)=a_{n-1}:2=\dfrac{1}{2}a_{n-1}

This is a geometric series with the common ratio r=\dfrac{1}{2} and the first term a_1=16.

An explicit formula of the n-th term of a geometric sequence:

a_n=a_1r^{n-1}

Substitute:

a_n=16\left(\dfrac{1}{2}\right)^{n-1}

7 0
2 years ago
A colony of 500 bacteria doubles in size every 200 hours. What will the population be 400 hours from now?​
mote1985 [20]

Answer:

1000

Step-by-step explanation

200+200=400

so

500+500=1000

6 0
2 years ago
A mortgage firm estimates the true mean current debt of local homeowners, using the current outstanding balance of a random samp
AVprozaik [17]

Answer:

Option B.

Step-by-step explanation:

As we know that

Margin of error = Z * standard error

Here , the only way to decrease the value of margin of error is to decrease either the value of z or value of standard error as both are directly proportional to margin of error.

Z-value can be decreased by using lower confidence intervals. Standard error can be decreased by increasing sample size (as given in option B)

The answer is option B as it is using sample size of 50 instead of 35 thus decreasing standard error and ultimately decreasing margin of error.

6 0
3 years ago
Evaluate 9!/6!3! <br><br><br> plz helppp:)))
Helga [31]

Answer:

84 :-)

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
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