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4 years ago

NEED HELP ASAP PLEASE

Mathematics

1 answer:

IrinaVladis [17]4 years ago

8 0

Z would also be 63 degrees. Triangle WXZ is isosceles, as sides WX and WZ are marked as congruent. This means that the two base angles of the triangle (the bottom two) are congruent. You already know that one of the base angles, X (or WXY), is 63 degrees, so using this reasoning, the other base angle, YZW, is 63 degrees as well. I hope this helps!

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Evaluate log(-13)<br> Correct answer will get brainliest

Sedaia [141]

if given log(a)=b, where no base is stated, we assume base 10, or $log(a)=log_{10}(a)$

also, $log_a(b)=c$ translates to/can be written equivilently as $a^c=b$

therefore, given

$log(-13)=?$ where we want to find ?

assume base 10 and translate

$10^?=-13$

since we cannot raise a positive number to any real power and give a negative number, ? is not a real number and therefore, there are no real solutions

if we do want to find a solution, we can use Euler's idendity

$e^{\pi i}=-1$ where i is the complex number i=√-1 and e is euler's number

we can try to change bases to find the value of ?

$e^{\pi i}=-1$

$13e^{\pi i}=-13$

$13e^{\pi i}=10^?$

taking ln of both sides

$ln(13e^{\pi i})=ln(10^?)$

using log rules

$ln(13)+(\pi i)ln(e)=(?)ln(10)$

$ln(13)+\pi i=?ln(10)$

divie both side by ln(10)

$\frac{ln(13)+\pi i}{ln(10)}=?$

in a+bi form

$?=\frac{ln(13)}{ln(10)}+\frac{\pi}{ln(10)}i$

there are no real numbers that it evaluates to

however, it does evaluate to a complex number which is $\frac{ln(13)}{ln(10)}+\frac{\pi}{ln(10)}i$ or aproximately 1.11394+1.36438i

3 0

3 years ago

Find the amount of money in savings account if $3200 was deposited for 3 years at 40% interest compounded annually. Find the int

a_sh-v [17]

Step-by-step explanation:

Formula for compound interest is given by

$A = P(1 + R) ^{n}$

Where

A is the amount at the end of the period

P is the principal

R is the rate

n is the period

The interest = A - P

From the question

P = $ 3200

n = 3 years

R = 40%

So we have

$A = 3200 \times 2.744$

A = $ 8780.80

<h3>The amount is $ 8780.80</h3>

The interest is

$ 8780.80 - $3200

Hope this helps you

7 0

3 years ago

The lowest altitude of an altocumulus cloud is about 3^8 feet. The highest altitude of an altocumulus cloud is about 3 times the

Alona [7]

<span>3(3^8) equals 9^8 feet.</span>

5 0

4 years ago

Simplify the following expression

Gnoma [55]

Answer: D

Step-by-step explanation:

6i+10i+7

=16i+7

5 0

3 years ago

HELP PLZZ ANYONE OUT THEIR

Paraphin [41]

I think I only know the decimals, for quarters there is three quarters with equals 75 cents so that would be .75 for dime a dime equals ten cents so that would be .10 and for. Nickels 6 nickels equals thirty cents so the decimal would be .30

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3 years ago