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Goshia [24]
3 years ago
6

Can someone please evaluate (-12)²​

Mathematics
2 answers:
kow [346]3 years ago
8 0

Answer:

(-12)²=(-12×-12)=144

lorasvet [3.4K]3 years ago
8 0

Answer: 144

Step-by-step explanation:

(-12)^2

= -12(-12)

= 12(12)

= 144

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Paul can install a 300 hundred square foot hardwood floor in 18 hours. Matt can install the same floor in 22 hours. How long wou
Vadim26 [7]
ANSWER

Paul and Matt will take
9.9 \: \: hours
to install the floor working together.

EXPLANATION

First, calculate Paul's rate, which is

= \frac{1}{18}

Next, calculate Matt's rate, which is,
= \frac{1}{22}

Let us assume that, Paul and Matt took
x \: hours
to do the work together.

Then, the rate of working together is,

= \frac{1}{x}

Now, add the individual rates and equate to the rate of working together to form an equation that will help us solve for x.

\frac{1}{18} + \frac{1}{22} = \frac{1}{x}

Simplify the left hand side

\frac{11 + 9}{198} = \frac{1}{x}

\frac{20}{198} = \frac{1}{x}

We reciprocate both sides to get (You could have also done cross multiplication).

\frac{198}{20} = \frac{x}{1}

x = 9.9 \: hours
7 0
3 years ago
First one to answer receives 100 points and brainiest!
larisa [96]

Answer and Step-by-step explanation:

<em>116 b.</em>

2^{10} = 1024\\2^8 = 256\\\\1024 + 256 = 1280\\\\\\2^5 = 32\\2^3 = 8\\\\32 - 8 = 24

1280 × 24 = 30720

<u>30720 ÷ 60 = 512. 512 is the solution; the expression is divisible by 60.</u>

<em>116 c.</em>

16^3 = 4096\\8^3 = 512\\\\4096 - 512 = 3584\\\\\\4^3 = 64\\2^3 = 8\\\\64 + 8 = 72

3584 × 72 = 258048

<u>258048 ÷ 60 = 4096. 4096 is the solution; the expression is divisible by 63.</u>

<em>116 d.</em>

125^2 = 15625\\25^2 = 625\\\\15625 + 625 = 16250\\\\\\5^2 = 25\\\\25 - 1 = 24

16250 × 24 = 390000

<u>390,000 ÷ 39 = 10,000. 10,000 is the solution; the expression is divisible by 39.</u>

<u></u>

<u></u>

<u></u>

<em><u>#teamtrees #PAW (Plant And Water)</u></em>

4 0
3 years ago
Find the altitude and area of an equilateral triangle
Nataliya [291]
If you look at the attached graphic, you will see that the altitude (or height) of an equilateral triangle is:
Height = side length * sq root (3) / 2
Area = side^2 * sq root (3) / 4




4 0
3 years ago
The angle of the elevation from the top of a 95 Todd building into a hot air balloon in the sky and 76° if the horizontal distan
AnnZ [28]

Answer:

The height of the hot air balloon is 1514.54 feet approximately.

Step-by-step explanation:

Consider the provided information.

The angle of elevation from the top of a 95-foot tall building to a hot air balloon in the sky is 76. If the horizontal distance between the building and the hot air balloon is 354 feet, find the height of the hot air balloon

The figure is shown below:

Let the height of the balloon is AD, the height of the building is BC.

Draw a line BE parallel to CD.

Therefore, AD=x+95, BC=95 and BE=CD=354 ft

Now in triangle ABE.

\tan\theta=\dfrac{\text{Opp}}{\text{Adj}}

\tan76^{\circ}=\dfrac{AE}{BE}

AE\approx 4.01\times 354

AE\approx 1419.54

The height air balloon is 1419.54+95 =1514.54 ft

Hence, the height of the hot air balloon is 1514.54 feet approximately.

7 0
3 years ago
Dividing with decimals
horrorfan [7]
Here's an example: I hope this helps you out

4 0
3 years ago
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