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2 years ago

Need help, look at attachment

Mathematics

1 answer:

Archy [21]2 years ago

6 0

Answer:

angle 1 and angle 8 are co exterior angles. so, their sum is equal to 180°.

28°+ angle 8 =180°

angle 8=180°-28°

angle 8=152°

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The half-life of Radium-226 is 1590 years. If a sample contains 200 mg, how many mg will remain after 1000 years?

adell [148]

Answer: 129.33 g

Step-by-step explanation:

$$$Let $p=A \cdot e^{n t}$ \\$(p=$ present amount, $A=$ initial amount, $n=$ decay rate, $t=$ time)$

$\begin{aligned}&\Rightarrow \text { Given } p=\frac{A}{2} \ a t \ t=1590 \\&\Rightarrow \frac{1}{2}=e^{1590n} \Rightarrow n=\frac{\ln (1 / 2)}{1590}=-0.00043594162\end{aligned}$

$If $A=200 \mathrm{mg}$ and $t=1000$ then,$$\begin{aligned}P &=200 e^{\left(\frac{\ln \left(1/2\right)}{1590}\right) \cdot 1000} \text \\\\&=129.33 \text { grams}\end{aligned}$

3 0

2 years ago

If the factors of quadratic function g are (x-7) and (x+3), what are the zeros of function g?

natulia [17]

Step-by-step explanation:

1. you set each expression equal to 0.

x-7=0 and x+3=0

2. Next you need to get the variable by itself so you would add 7 to both sides on the first equation and subtract 3 from both sides for the second one.

3. So your answers would be x=7 and x=-3. Those are the zeros.

8 0

3 years ago

~~~~~~~~~~~`````````````````

bixtya [17]

Answer:

Step-by-step explanation:

(-3/4)x + 9 = (-1/2)x + 8

9 - 8 = (-1/2)x + (3/4)x

1 = (1/4)x

x = 4

y = (-3/4)4 + 9

y = -3 + 9

y = 6

3 0

2 years ago

1 pound of apples for $2.15 or 3 pounds of apples for $5.76

ollegr [7]

Answer:$7.91

Step-by-step explanation:add 2.15+5.76=7.91

7 0

3 years ago

A cube is sliced as shown. Find the area of the cross section formed by the slice.

Alex

Answer:

Step-by-step explanation:

what you gotta do is multiply 5 * 7 to get 35

6 0

2 years ago

Read 2 more answers