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2 years ago

The measure of an angle is equal to the meausure of its complement. find the degree measure of the angle

Mathematics

1 answer:

Nookie1986 [14]2 years ago

6 0

Sine they are equal and a complement means add up to 90, they are 45.
45+45 =90

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I need help pleaseee stattt (11 points )

Harlamova29_29 [7]

Answer:

If you were to get a different piece of paper and trace the same shape and flip it over to the same position that one of them is in it will be the exact same measurements!

3 0

2 years ago

On a hot Saturday morning while people are working inside, the air conditioner keeps the temperature inside the building at 24

Helen [10]

Answer:

30.06 degree Celsius at 4:00 PM.

Step-by-step explanation:

We have been given that on a hot Saturday morning while people are working inside, the air conditioner keeps the temperature inside the building at 24 degrees C. At noon the air conditioner is turned off, and the people go home. The temperature outside is a constant 35 degrees C for the rest of the afternoon. The time constant for the building is 5 hr. We are asked to find the temperature inside the building at 4:00 PM.

We will use Newton's law of cooling to solve our given problem.

$T(t)=M_0+(T_0-M_0)e^{-kt}$ , where

$T(t)$ = Temperature after t hours.

$M_0$ = Temperature of surrounding environment,

$k$ = Time constant.

$\frac{1}{k}=5\Rightarrow k=\frac{1}{5}$

Upon substituting our given values in Newton's cooling law, we will get:

$T(t)=35+(24-35)e^{-\frac{t}{5}}$

$T(t)=35-11e^{-\frac{t}{5}}$

To find the temperature at 4:00 pm, we will substitute $t=4$ in our formula as:

$T(4)=35-11e^{-\frac{4}{5}}$

$T(4)=35-\frac{11}{e^{\frac{4}{5}}}$

$T(4)=35-\frac{11}{2.2255409284924674}$

$T(4)=35-4.9426186052894379601$

$T(4)=30.05738139471$

$T(4)\approx 30.06$

Therefore, the temperature inside building would be approximately 30.06 degree Celsius at 4:00 PM.

5 0

2 years ago

EASY POINTS EVALUATION

dedylja [7]

Answer:

$\frac{4}{9}$

Step-by-step explanation:

$( \frac{16 {}^{ \frac{1}{2} } }{81 { }^{ \frac{1}{2} } }) \\ ( \frac{ {4}^{2 \times \frac{1}{2} } }{9^{2 \times \frac{1}{2} } }) \\ ( \frac{4^{1} }{9 ^{1} } ) \\ \frac{4}{9}$