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3 years ago

9e+4=14+8e what does e equal

Mathematics

2 answers:

melisa1 [442]3 years ago

8 0

9e+4=14+8e
Subtract 8e from both sides
e+4=14
Subtract 4 from both sides
Final Answer: e=10

USPshnik [31]3 years ago

6 0

It is 9*10+4=14+8*10 so e=10

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Three ships, A, B, and C, are anchored in the atlantic ocean. The distance from A to B is 36.318 miles, from B to C is 37.674 mi

skelet666 [1.2K]

Let us draw the triangle

here the sides a= 37.674 miles

b= 11.164 miles

c= 36.318 miles

Lets use the cosine rule to solve for the angles

( we cannot use the sine law since we do not have the measure of any of the angles)

The cosine law

$c^{2} = a^{2} +b^{2} -2ab cos C$

Let us plug in the values

$(36.318)^{2} = (37.674)^{2} + (11.164)^{2} - 2(37.674)(11.164). Cos C$

$1318.997 = 1419.33 + 124.634 - 841.184. Cos C$

$1318.997 = 1543.964 - 841.184. Cos C$

$841.184. Cos C = 1543.964-1318.997$

$841.184. Cos C = 224.967$

$Cos C = \frac{224.967}{841.184}$

$cos C = 0.267$

C = 74.48°

We can use the sine law to calculate the value of angle A

$\frac{a}{SinA} = \frac{c}{Sin C}$

$\frac{37.674}{Sin A} = \frac{36.318}{Sin 74.48}$

$Sin A = \frac{37.674. sin 74.48}{36.318}$

$Sin A = \frac{37.674 X 0.963}{36.318}$

$Sin A = 0.998$

A= $sin^{-1} (0.998)$

A = 87.38°

Now we can easily find the third angle B by subtracting angle A and C from 180°

$B = 180-(74.48 + 87.38)$

B = 180-161.86

B = 18.14°

Hence we have all the three angles ( attached figure)

7 0

4 years ago

Jeremy got a haircut and paid 15% as a tip. What percent of the cost did Jeremy pay the barber, including the tip?

Bezzdna [24]

The percentage of the cost that Jeremy will pay including the tip paid is 115% of the cost.

Assuming the cost was $100 and Jeremy gave a 15% tip. The total he would pay is:

= 100 + tip

= 100 + (100 x 15%)

= $115

In percentage this is:

= 115/100 x 100%

= 115%

In conclusion, Jeremy would pay 115% of the tip.

Find out more at brainly.com/question/22444616.

5 0

3 years ago

What is y?? x=2√6 if it helps

Eddi Din [679]

Y=0,-6

X=( √ 6 , 0 ) , ( − √ 6 , 0 )

3 0

3 years ago

Read 2 more answers

Vivenne, John and nassim ran for 6th grade class president. Vivenne got four votes for every 3 votes that John got. Nassim got t

andreev551 [17]

Percentage of the votes did John got overall is 25 %

Solution:

Given, Vivenne, John and nassim ran for 6th grade class president.

Vivenne got four votes for every 3 votes that John got.

Nassim got two votes for every vote that Vivenne got.

Now, ratio of vivenne votes to john votes = 4 : 3

a : b can be written in fraction as $\frac{a}{b}$

$\rightarrow \frac{\text {vivenne votes}}{\text {john votes}}=\frac{4}{3} \rightarrow(1)$

Now, ratio of nassim votes to vivenne votes = 2 : 1

$\rightarrow \frac{\text {nassim votes}}{\text {vivenne votes}}=\frac{2}{1} \rightarrow(2)$

Now, multiply the above two fractions,

$\begin{array}{l}{\rightarrow \frac{\text {vivenne votes}}{\text {john votes}} \times \frac{\text {nassim votes}}{\text {vivenne votes}}=\frac{4}{3} \times \frac{2}{1}} \\\\ {\rightarrow \frac{\text {nassim votes}}{\text {john votes}}=\frac{8}{3} \rightarrow(3)}\end{array}$

Now, add (1) and (3),

$\begin{array}{l}{\rightarrow \frac{\text {vivenne votes}}{\text {john votes}}+\frac{\text {nassim votes}}{\text {john votes}}=\frac{4}{3}+\frac{\mathrm{s}}{3}} \\\\ {\rightarrow \frac{\text {vivenne votes+nassim votes}}{\text {john votes}}=\frac{4+8}{3}}\end{array}$

We know that total votes = vivenne votes+nassim votes+john votes

Hence substitute "vivenne votes+nassim votes = total votes - john votes "

Hence we get,

$\begin{array}{l}{\rightarrow \frac{\text {total votes}-\text {john votes}}{\text {john votes}}=\frac{12}{3}} \\\\ {\rightarrow \frac{\text {total votes}}{\text {john votes}}-\frac{\text {john votes}}{\text {john votes}}=4} \\\\ {\rightarrow \frac{\text {total votes}}{\text {john votes}}-1=4} \\\\ {\rightarrow \frac{\text {total votes}}{\text {john votes}}=5} \\\\ {\rightarrow \frac{\text {john votes}}{\text {total votes}}=\frac{1}{5}}\end{array}$