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allsm [11]
3 years ago
6

Solve this problem. Find the number of gallons of paint needed to cover all four sides four sides) of the building shown with tw

o coats of paint if one gallon covers 350 square feet. Disregard windows and doors. Round to the nearest gallon.

Mathematics
2 answers:
liraira [26]3 years ago
7 0
The complete question in the figure attached

1) calculate the area <span>all four sides
A=[12+9+12+9]*8=336 ft</span>²

if 1 gallons---------------------------- > covers 350 ft²
X------------------------------------ > 336 ft²
X=336/350=0.96 gallons
but remember 
<span>that there are two coats of paint
</span>therefore
0.96*2----------- > 1.92------- > 2 gallons

the answer is 2 gallons

eimsori [14]3 years ago
3 0

Answer: the answer is 3 gallons of paint is required to paint the building.

Step-by-step explanation:

The area to be painted is:

= 2× [Area of Rectangle with dimensions 20 ft.×10 ft.+Area of triangle with height 5 ft. and base 20 ft.+Area of rectangle with dimensions 24 ft. and 10 ft.]

=2×[20×10+(1/2)×5×20+24×10]

=2×[200+50+240]

=2×490

=980 square ft.

Hence, the area to be painted=980 square feet.

Now, amount of paint require to cover 350 square feet=1 gallon.

i.e. 1 square feet requires=1/350 gallon of paint.

⇒ 980 square feet requires=980/350=2.8 gallons of paint.

Hence, to the nearest gallon we could say that:

3 gallons of paint is required to paint the building.

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Neporo4naja [7]

Answer:

0.0625 is the answer.

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4 0
2 years ago
If x equals a real number, x^0 equals what?
Stels [109]

Hey there!

x^0

Anything to the power of 0 is 1. So that means x can be equal to any number. Let's say 1^0, it will still equal 1. 2^0 is also equal to 1. X is therefore not a number since it can be anything.

x^0=1

Hope this helps!

AT2309

8 0
3 years ago
1. Maggie keeps track of daily bird sightings. The table below shows the number and type of swans that were seen in one day. Wha
Vitek1552 [10]

Answer:

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Step-by-step explanation:

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8 0
2 years ago
In the diagram below, if &lt; A = 97 °, &lt; B = 46 °, &lt; D = 97 ° and &lt; F = 37 °, we can say that
sdas [7]

Answer:

  (a)  The two triangles are similar by AA

Step-by-step explanation:

Similar triangles have congruent corresponding angles and proportional corresponding side lengths.

<h3>Third angle</h3>

The third angle in triangle ABC is found using the fact that the sum of angles is 180°.

  ∠C = 180° -∠A -∠B

  ∠C = 180° -97° -46° = 37°

Two of the angles, A and C, match the measures of two of the angles in triangle DEF. The matches are ...

  ∠A = ∠D = 97°

  ∠C = ∠F = 37°

The two triangles are similar by AA.

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<em>Additional comment</em>

The similarity statement can be ΔABC ~ ΔDEF.

8 0
2 years ago
Find all of the equilibrium solutions. Enter your answer as a list of ordered pairs (R,W), where R is the number of rabbits and
zloy xaker [14]

Answer:

(0,0)   (4000,0) and (500,79)

Step-by-step explanation:

Given

See attachment for complete question

Required

Determine the equilibrium solutions

We have:

\frac{dR}{dt} = 0.09R(1 - 0.00025R) - 0.001RW

\frac{dW}{dt} = -0.02W + 0.00004RW

To solve this, we first equate \frac{dR}{dt} and \frac{dW}{dt} to 0.

So, we have:

0.09R(1 - 0.00025R) - 0.001RW = 0

-0.02W + 0.00004RW = 0

Factor out R in 0.09R(1 - 0.00025R) - 0.001RW = 0

R(0.09(1 - 0.00025R) - 0.001W) = 0

Split

R = 0   or 0.09(1 - 0.00025R) - 0.001W = 0

R = 0   or  0.09 - 2.25 * 10^{-5}R - 0.001W = 0

Factor out W in -0.02W + 0.00004RW = 0

W(-0.02 + 0.00004R) = 0

Split

W = 0 or -0.02 + 0.00004R = 0

Solve for R

-0.02 + 0.00004R = 0

0.00004R = 0.02

Make R the subject

R = \frac{0.02}{0.00004}

R = 500

When R = 500, we have:

0.09 - 2.25 * 10^{-5}R - 0.001W = 0

0.09 -2.25 * 10^{-5} * 500 - 0.001W = 0

0.09 -0.01125 - 0.001W = 0

0.07875 - 0.001W = 0

Collect like terms

- 0.001W = -0.07875

Solve for W

W = \frac{-0.07875}{ - 0.001}

W = 78.75

W \approx 79

(R,W) \to (500,79)

When W = 0, we have:

0.09 - 2.25 * 10^{-5}R - 0.001W = 0

0.09 - 2.25 * 10^{-5}R - 0.001*0 = 0

0.09 - 2.25 * 10^{-5}R = 0

Collect like terms

- 2.25 * 10^{-5}R = -0.09

Solve for R

R = \frac{-0.09}{- 2.25 * 10^{-5}}

R = 4000

So, we have:

(R,W) \to (4000,0)

When R =0, we have:

-0.02W + 0.00004RW = 0

-0.02W + 0.00004W*0 = 0

-0.02W + 0 = 0

-0.02W = 0

W=0

So, we have:

(R,W) \to (0,0)

Hence, the points of equilibrium are:

(0,0)   (4000,0) and (500,79)

4 0
3 years ago
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