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1 year ago

Two of the angles in a triangle measure 57º and 25°. What must be the measure of the

Mathematics

1 answer:

ira [324]1 year ago

5 0

The measure of the third angle in the triangle is 104 degrees

<h3>How to determine the measure of the third angles?</h3>

Let the three angles in the triangle be x, y and z.

Such that:

x = 51

y = 25

The sum of angles in a triangle is 180 degrees.

So, we have:

x + y + z = 180

Substitute known values

51 + 25 + z = 180

Evaluate the sum

76 + z = 180

Subtract 76 from both sides

z = 104

Hence, the measure of the third angle is 104 degrees

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A certain compound has a half-life of four days. Write and use an exponential decay function to find the amount of compound rema

dimaraw [331]

Answer:

1.97 ounces

Step-by-step explanation:

-The exponential decay function is given by the formula:

$P_t=P_oe^{-rt}\\\\$

Given that the half-life is 4 days, we can substitute in the formula to solve the rate of decay for a single half-life:

$P_t=P_oe^{rt}\\\\P_t=0.5P_o\\\\\therefore 0.5=e^{-4r}\\\\-4r=In(0.5)\\\\r=0.17329$

#Since, 1 week has 7 days, 3 weeks is a 21-day period, thus, t=21.

#We substitute and solve for the amount remaining after 21days of decay:

$P_t=P_oe^{-rt}\\\\=75e^{-21\times 0.17329}\\\\=1.97072\\\\\approx1.97 \ oz$

Hence, the amount remaining after 3 weeks of decays is approximately 1.97 ounces

4 0

3 years ago

Solve the equation <br> -3 2/3+b = 8 1/5<br><br> B= 5 3/5<br> B= 4 4/5<br> B= 11 3/5<br> B= 11 1/5

Readme [11.4K]

Answer:

11 13/15

Step-by-step explanation:

-3 2/3+b = 8 1/5

Add 3 2/3 to each side

-3 2/3 + 3 2/3+b = 8 1/5+ 3 2/3

b = 8 1/5 + 3 2/3

We need to get a common denominator of 15

8 1/5 = 8 3/15

3 2/3 = 3 10/15

----------------

11 13/15

4 0

3 years ago

If you have the circumference of a circle. How do you find the radius?

algol13

The formula for finding c...” No, you would divide it. The formula for finding circumference is 2 x pi x r, where r is the radius. 2 x r = d, where d is diameter.

6 0

3 years ago

A + (b-4) when a-24 and b-7

lara31 [8.8K]

Answer:

a=24

b=7

now

24+(7-4)

24+3

so the answer is 27

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3 years ago

Carrie has 300 marbles 25 of the marbles are green 15% of the marbles are red and the rest of the marbles are blue how many blue

Rus_ich [418]

Answer:

230.

Step-by-step explanation:

$\: \: \: \: 300 - 25 - \frac{15}{100} \times 300 = \\ = 275 - 45 = \\ = 230$

Hope this helps!

4 0

3 years ago

Read 2 more answers