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2 years ago

Find x.

Mathematics

1 answer:

mars1129 [50]2 years ago

4 0

Answer:

x = 7/2

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adj side / hypotenuse

cos 45 = x / 7 sqrt(2) /2

7 sqrt(2)/2 cos 45 = x

7 sqrt(2)/2 (1/ sqrt(2))= x

7/2 = x

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(1/27)^x-6=27 Could I please have a step by step as well? Much appreciated!

Andrei [34K]

Answer:

$x = 7$

Step-by-step explanation:

1) Use Division Distributive Property: (x/y)^a = x^a/y^a.

$\frac{1}{ {27}^{x - 8} } = 27$

2) Multiply both sides by 27^x - 8.

$1 = {27} \times 27^{1 + x - 8}$

3) Use the product rule: x^a x^b = x^a+b.

$1 = {27}^{1 + x - 8}$

4) Simplify 1 + x - 8 to x - 7.

$1 = {27}^{x - 7}$

5) Use Definition of Common Logarithm: b^a = x if and only if logb (x) = a.

$log_{27}1 = x - 7$

6) Use Change of Base Rule.

$\frac{ log_1 }{ log{27} } = x - 7$

7) Use rule of 1: log 1 = 0.

$\frac{0}{ log_{27}} = x - 7$

8) Simplify 0/log_27 to 0.

$0 = x - 7$

9) Add 7 to both sides.

$7 = x$

10) Switch sides.

$x = 7$

Therefor, the answer is x = 7.

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2 years ago

I don’t know if anyone will see you this but do not open a link that someone gives you for a answer

yKpoI14uk [10]

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2 years ago

Read 2 more answers

Solve for x. Captionless Image x= 6 x = 0 x= 5 x= 10

Pachacha [2.7K]

Answer:

You cannot solve for x on any of these. it will just be the same answer.

Step-by-step explanation:

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2 years ago

Write the simplified form of (-0.5z + 0.9z) – (-0.3z + 0.9z).

Delicious77 [7]

Answer:

-0.2z

Step-by-step explanation:

0.4z-0.6z

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8 0

2 years ago

the ratio of peters money to henrys money is 4 : 3 there at first. after perter spent 12 dollars they had an equal amount of mon

MatroZZZ [7]

Using a system of equations, it is found that Peter had $48 at first.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

Variable x: Peter's money.

Variable y: Henry's money.

The ratio of peters money to henrys money is 4 : 3, hence:

$\frac{x}{y} = \frac{4}{3}$

After Peter spent $12, they had the same amount, hence:

y = x - 12.

Then, replacing in the ratio:

$\frac{x}{y} = \frac{4}{3}$

$\frac{x}{x - 12} = \frac{4}{3}$

4(x - 12) = 3x

x = 48.

More can be learned about a system of equations at brainly.com/question/24342899

#SPJ1

4 0

1 year ago