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2 years ago

Find mA in abc if mB = 38° and cmC = 38°

Mathematics

1 answer:

vivado [14]2 years ago

6 0

Answer:

The sum of three angles in triangles are 180 degrees so

if there is triangle ABC,

A+B+C=180

A+38+38=180

A=104

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Solve: In 2x + In 2 = 0<br> DONE

pychu [463]

Answer:

$x=\frac{1}{4}$

Step-by-step explanation:

We can use some logarithmic rules to solve this easily.

<em>Note: Ln means $Log_e$ </em>

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Now, lets start with the equation:

$ln(2x) + ln(2) = 0\\ln(2x) = -ln(2)$

Writing left side with logarithmic base e, we have:

$Log_{e}(2x) = -ln(2)$

We can now use the property shown below to make this into exponential form:

$Log_{a}b=x\\means\\a^x=b$

So, we write:

$Log_{e}(2x) = -ln(2)\\e^{-ln(2)}=2x$

We recognize another property of exponentials:

$a^{bc}=(a^{b})^{c}$

So, we write:

$e^{-ln(2)}=2x\\(e^{ln(2)})^{-1}=2x$

Also, another property of natural logarithms is:

$e^{(ln(a))}=a$

Now, we simplify:

$(e^{ln(2)})^{-1}=2x\\(2)^{-1}=2x\\\frac{1}{2}=2x\\x=\frac{\frac{1}{2}}{2}\\x=\frac{1}{4}$

This is the answer.

7 0

3 years ago

Help asap plz answer 22-25

Leya [2.2K]

Answer: yes

Step-by-step explanation:

yes

8 0

3 years ago

What is the area of this composite shape?

guajiro [1.7K]

Step-by-step explanation:

parallelogram area is:h×base

10×14=140

we have two so

140×2=280

traingle is:h×base/2

18-10=8=h

8×14/2=56

56×3=168

168+280=448

8 0

3 years ago

Find the largest integer which belongs to the following interval: (−∞; 31]

Studentka2010 [4]

Answer:

The largest integer that belongs to the interval (-∞, 31] is 31

Step-by-step explanation:

The given interval is (-∞, 31], from which the round bracket indicates that the number next to the bracket is not included in the inequality while the square [] (closed) bracket indicates that the number next to the bracket is included in the inequality

Therefore, 31 is inclusive in the inequality while -∞ is excluded.

The find the largest integer that belongs to the interval (-∞, 31] the numbers are arranged on the number line as follows

The numbers presented in number line form -∞, .....-1, 0, 1, 2,..., 31

Giving 31 as the largest integer in the inequality

8 0

3 years ago

Alissa's budget is shown in the circle graph below. Her total monthly budget is $1,500. How much dos Alissa spend on rent?

mojhsa [17]

Answer: C) $450

Step-by-step explanation:

If her rent is 30% of her total budget we can multiply by 0.3 to find how much is spent on rent.

1500x0.3=450

Alissa spends $450 on rent.

3 0

3 years ago

Read 2 more answers