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4 years ago

It wants me to find the missing lengths and reduce. please help!!!

Mathematics

1 answer:

Allushta [10]4 years ago

7 0

Answer:

$x=\frac{50}{3}$

Step-by-step explanation:

Since the figures are similar, the ratio of their corresponding sides are equal. Notice that the side x in the small triangle is corresponding to the side 20 in the big triangle. Also, the side 10 in the smaller triangle is corresponding to the side 12 in the big triangle; therefore: $\frac{x}{20} =\frac{10}{12}$

- Multiplying 20 to both sides of the equation:

$\frac{x}{20} (20)=\frac{10}{12} (20)$

$x=\frac{200}{12}$

- Simplifying the fraction:

$x=\frac{50}{3}$

We can conclude that the missing denominator in the question is 3.

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cupoosta [38]

Answer:

C Side ZX

Because ZX is a reflection of CD

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3 years ago

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zheka24 [161]

SOLUTION

We have been given the equation of the decay as

$\begin{gathered} N=N_0e^{-kt} \\ where\text{ } \\ N_0=initial\text{ amount of C-14 at time t} \\ N=amount\text{ of C-14 at time t = 65\% of N}_0=0.65N_0 \\ k=0.0001 \\ t=time\text{ in years = ?} \end{gathered}$

So we are looking for the time

Plugging the values into the equation, we have

$\begin{gathered} N=N_0e^{-kt} \\ 0.65N_0=N_0e^{-0.0001t} \\ e^{-0.0001t}=\frac{0.65N_0}{N_0} \\ e^{-0.0001t}=0.65 \end{gathered}$

Taking Ln of both sides, we have

$\begin{gathered} ln(e^{-0.000t})=ln(0.65) \\ -0.0001t=ln(0.65) \\ t=\frac{ln(0.65)}{-0.0001} \\ t=4307.82916 \end{gathered}$

Hence the answer is 4308 to the nearest year

8 0

1 year ago

Choose the table that represents g(x) = −2⋅f(x) when f(x) = x + 4

fomenos

Answer:

x g(x)

1 −10

2 −12

3 −14

Step-by-step explanation:

Substitute the values and do the arithmetic.

Table values for x are 1, 2, 3. We only need to find g(1) to determine which table is the correct choice.

f(1) = 1 +4 = 5 . . . . . . . . . put 1 where x is and do the arithmetic

g(1) = -2·f(1) = -2·5 = -10 . . . . . matches the 3rd choice

6 0

3 years ago

The length of a rectangle is 12 in. and the perimeter is 56 in. find the width of the rectangle

pentagon [3]

The perimeter p of the rectangle with length l and width w is:
p = 2l + 2w
that is, two times its length and two times its width, lets solve for the width w and substitute known data:
<span>p = 2l + 2w
</span>2w = p - 2l
w = (<span>p - 2l</span>)/2
w = (56 - (2*12))/2
w = (56 - 24)/2
w = 32/2
w = 16
therefore the width of the rectangle is 16 in

8 0

3 years ago

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Answer:

a21 = -61

Step-by-step explanation:

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