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FrozenT [24]
3 years ago
13

Please can someone help

Mathematics
1 answer:
lisabon 2012 [21]3 years ago
8 0

Hey there!!

These angles are the supplement angles.

Add them, we get 180 degrees

Hence,

... 3x + 15 + 2x + 5 = 180

... 5x + 20 = 180

... 5x = 160

... x = 160 / 5

... x = 32

3 ( 32 ) + 15 and 2 ( 32 ) + 5 are the angles

111 and 69 are the angles

Hope my answer helps!!

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PLEASE HELP
Anit [1.1K]

Answer:

A\approx2.255 \text{ grams}

Step-by-step explanation:

We will use the standard formula for half-life:  

\displaystyle A=A_0(a)^\frac{t}{d}

Where A₀ is the initial amount, a is the half-life, d is the time for one half-life, and t is the number of days.

So, we will substitute 1/2 for a and 24.3 for d. This yields:

\displaystyle A=A_0(\frac{1}{2})^\frac{t}{24.3}

We have a 3 gram sample. Therefore, our initial amount A₀ is 3:

\displaystyle A=(3)(\frac{1}{2})^\frac{t}{24.3}

And we want to find the remaining sample after 10 days. So, t=10. Substitute:

\displaystyle A=(3)(\frac{1}{2})^\frac{10}{24.3}

Use a calculator. So:

A\approx2.255 \text{ grams}

Therefore, for a 3 gram sample of Phosphorous-32 with a half-life of 24.3 days, after 10 days, there will be approximately 2.255 grams remaining.

6 0
3 years ago
Kevin rode 24 km in 2 hours. At that rate, how long would it take him to ride 120 km?
liberstina [14]
24/2=12 so you would do 120/12 and get 10. Your answer is 10 hours.
6 0
3 years ago
The monthly cost of a short term disability insurance policy varies directly as the salary of the employee. Wanda has an annual
arlik [135]

Answer: $14.85

Step-by-step explanation:

Ww can solve the question using direct proportion with the formula y = kx

where y = annual salary

x = monthly policy cost.

k = constant of proportionality

Since y = kx

38500 = 11.55k

k = 38500 / 11.55

k = $3333.33

When Randy has an annual salary of $49,500, the amount Randy expect to pay for his policy will be:

y = kx

49500 = 3333.33x

x = 49500 / 3333.33

x = 14.85

The amount that Randy expect to pay for his policy will be $14.85

8 0
3 years ago
Fred had 264 books in his personal library he donated 2/11 of these books to the public library how many books did you donate
Citrus2011 [14]
Fred donated 48 books.
8 0
3 years ago
Read 2 more answers
1.64 divide by 22 I don’t even know this help me?
Sergeeva-Olga [200]
The answer would be 7.54
8 0
3 years ago
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