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Naddik [55]
3 years ago
5

The thermostat in Steffi’s house is set to 56°F. The actual temperature variance in her house can be modeled by the inequality |

t − 56|= 3. Plot the range of possible temperatures in her house.
Mathematics
1 answer:
gulaghasi [49]3 years ago
7 0

Answer:

Step-by-step explanation:

|t − 56|= 3 states that the temperature, t, can be as low as (56-3)°F, or 53°F, and as high as (56+3)°F, or 59°F.

On a number line, plot a dark dot at both 53°F and 59°F, and then connect these two dots with a solid line.

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The house was bought for $ 500 and sold for $ 700 what percentage profit did they gain?
jonny [76]

Answer: 40%

Step-by-step explanation:

700 - 500 = 200

200 / 500 = 40%

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8 0
3 years ago
Find the measures of the missing angles
Oliga [24]

Answer:

Step-by-step explanation:

∠1 = 180° - 88° = 92°

∠5 = 81° (alternate interior angles)

∠4 = 180° - ( 81° + 64° ) = 35°

∠3 = 180° - ( 81° + 35° ) = 64°

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4 0
3 years ago
Read 2 more answers
What is the length of the hypotenuse? If necessary, round to the nearest tenth.
exis [7]

Answer:

<h2><u><em>3.5 Km</em></u></h2>

Step-by-step explanation:

the length of the hypotenuse is 4 Km, it is probable that you are looking for the value of the cathetus a.

it is a right triangle and we use Pythagoras

a² = 4² - 2²

a² = 16 - 4

a² = 12

a = √12

a = 3.46 (round 3.5)

4 0
2 years ago
Solve using demoivres theorem
pashok25 [27]
It's difficult to make out, but I think the task is to expand

(\sqrt3-i)^4

Write the number in polar form first:

\sqrt3-i=2e^{-i\pi/6}

By DeMoivre's theorem, you have

(\sqrt3-i)^4=\left(2e^{-i\pi/6}\right)^4=2^4e^{-i4\pi/6}=16e^{-i2\pi/3}

and converting back to Cartesian form, this number is equivalent to

16\left(\cos\dfrac{2\pi}3-i\sin\dfrac{2\pi}3\right)=16\left(-\dfrac12+-\dfrac{\sqrt3}2\right)=-8(1+i\sqrt3)
3 0
3 years ago
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