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Vika [28.1K]
2 years ago
12

The description for a certain brand of house paint claims a coverage of 410 ft2/gal. How many liters of paint are required to ap

ply a single coat of paint to the (4) walls of a 7.7 m by 14.8 m room with a height of 2.4 m
Mathematics
1 answer:
Airida [17]2 years ago
3 0

Answer:

  • 10.7 liters of paint required

Step-by-step explanation:

Dimensions of the room

  • 7.7 m by 14.8 m with the height of 2.4 m

Find the surface area of the 4 walls

  • A = Ph = 2(l + w)h = 2(7.7 + 14.8)*2.4 = 108 m²

Convert the area to ft²

  • 108 m² = 108*10.7639 ft² = 1162.5012 ft²

Find the amount of paint required

  • 1162.5012/410 = 2.84 gal (rounded)

Covert the volume to liters

  • 2.84 gal = 2.84*3.76 l = 10.7 l (rounded)

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The figure shows a square, a regular pentagon and a regular hexagon put together. What is the measure of ∠BAC
Elan Coil [88]

Answer:

42

Step-by-step explanation:

One angle of a regular pentagon = 108°

One angle of a regular hexagon = 120°.

One angle of a square = 90°

∴ ∠BAC = 360 – (108 + 20 + 90) 360 – 318 = 42°

8 0
2 years ago
Use properties of limits and algebraic methods to find the limit, if it exists. (If the limit is infinite, enter '[infinity]' or
soldi70 [24.7K]

Answer:

The limit of this function does not exist.

Step-by-step explanation:

\lim_{x \to 3} f(x)

f(x)=\left \{ {{9-3x} \quad if \>{x \>< \>3} \atop {x^{2}-x }\quad if \>{x\ \geq \>3 }} \right.

To find the limit of this function you always need to evaluate the one-sided limits. In mathematical language the limit exists if

\lim_{x \to a^{-}} f(x) = \lim_{x \to a^{+}} f(x) =L

and the limit does not exist if

\lim_{x \to a^{-}} f(x) \neq \lim_{x \to a^{+}} f(x)

Evaluate the one-sided limits.

The left-hand limit

\lim_{x \to 3^{-} } 9-3x= \lim_{x \to 3^{-} } 9-3*3=0

The right-hand limit

\lim_{x \to 3^{+} } x^{2} -x= \lim_{x \to 3^{+} } 3^{2}-3 =6

Because the limits are not the same the limit does not exist.

8 0
3 years ago
Which net represents the figure?
topjm [15]
Where’s the figure or nets?
3 0
3 years ago
You have a mouse infestiation in your house! You saw 4 mice the first day and the number triples each day. How many mice are the
vitfil [10]

Answer:

16 mice because 4*4=16 or 4+4+4+4=16

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Use the Pythagorean Theorem to find the measure of the space diagonal line in the box
madreJ [45]

Answer:

14.42inches

Step-by-step explanation:

Given the following

b = 5 in

c = 8in

we are to find the measure of the space diagonal line

Using the pythagoras theoreml

l^2 = b^2 + c^2

l^2 = 13^2 - 5^2

l^2 = 169 -25

l^2 = 144

l = 12in

To get the measure of the space diagonal line in the box, we will use the pythagoras theorem;

s^2 = l^2 + c^2

s^2 = 144 + 8^2

s^2 = 144 + 64

s^2 = 208

s= 14.42inches

Hence the required length ix 14.42inches

3 0
3 years ago
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