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3 years ago

Simplify the expression in e^5

Mathematics

2 answers:

s2008m [1.1K]3 years ago

7 0

Answer:

148.4

Step-by-step explanation:

fredd [130]3 years ago

3 0

Answer:

Step-by-step explanation:

ok im not sure if this is it but 148.41315910

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Find all the complex square roots of W= 100 (cos 60 + I sin 60). Write the roots in polar form with theta in degrees.

serg [7]

Answer:

2√3+2i

hope it helps

please mark Brainliest

5 0

3 years ago

Fine length of BC on the following photo.

MrMuchimi

Answer:

$BC=4\sqrt{5}\ units$

Step-by-step explanation:

see the attached figure with letters to better understand the problem

step 1

In the right triangle ACD

Find the length side AC

Applying the Pythagorean Theorem

$AC^2=AD^2+DC^2$

substitute the given values

$AC^2=16^2+8^2$

$AC^2=320$

$AC=\sqrt{320}\ units$

simplify

$AC=8\sqrt{5}\ units$

step 2

In the right triangle ACD

Find the cosine of angle CAD

$cos(\angle CAD)=\frac{AD}{AC}$

substitute the given values

$cos(\angle CAD)=\frac{16}{8\sqrt{5}}$

$cos(\angle CAD)=\frac{2}{\sqrt{5}}$ ----> equation A

step 3

In the right triangle ABC

Find the cosine of angle BAC

$cos(\angle BAC)=\frac{AC}{AB}$

substitute the given values

$cos(\angle BAC)=\frac{8\sqrt{5}}{16+x}$ ----> equation B

step 4

Find the value of x

In this problem

$\angle CAD=\angle BAC$ ----> is the same angle

equate equation A and equation B

$\frac{8\sqrt{5}}{16+x}=\frac{2}{\sqrt{5}}$

solve for x

Multiply in cross

$(8\sqrt{5})(\sqrt{5})=(16+x)(2)\\\\40=32+2x\\\\2x=40-32\\\\2x=8\\\\x=4\ units$

$DB=4\ units$

step 5

Find the length of BC

In the right triangle BCD

Applying the Pythagorean Theorem

$BC^2=DC^2+DB^2$

substitute the given values

$BC^2=8^2+4^2$

$BC^2=80$

$BC=\sqrt{80}\ units$

simplify

$BC=4\sqrt{5}\ units$

7 0

3 years ago

If the volume of the solid shown in the figure is 438 cubic inches, find the value of x.

svetoff [14.1K]

Answer:

what

Step-by-step explanation:

what figure

7 0

1 year ago

Of the students attending a rock concert, 80 of them were 8th graders. Of these 8th graders, 25% of them were wearing ear plugs.

zhuklara [117]

Answer:

15%

Step-by-step explanation:

If 10% of the 25% of 8th graders who were male, 15% would be females because 25-10= 15. So, 15% would be my answer.

6 0

2 years ago

The linear function graphed below represents the value of a comic book since Lucy purchased it. What was the value of the comic

zhuklara [117]

Answer:

C. $25

Step-by-step explanation:

We will find,

The slope of the function using $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ .

Taking the points (1,40) and (2,55).

Slope = $\frac{55-40}{2-1}$

i.e. Slope = $\frac{15}{1}$

i.e. Slope = 15

Substituting the slope and point (1,40) in the equation $y=mx+b$ ,

We have, $40=15\times 1+b$

i.e. $b=40-15$

i.e. b= 25

Thus, the equation of the linear function is $y=15x+25$ .

<em>This linear function represents the cost of the comic book since Lucy purchased it, where x= years.</em>

So, the initial value of the comic book is when x= 0.

So, $y=15\times 0+25$ i.e. y= 25

Hence, the cost of the book when Lucy purchased it was $25.

8 0

3 years ago

Read 2 more answers