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castortr0y [4]
2 years ago
8

Solve: 2 In 3 = In(x-4)

Mathematics
1 answer:
jeka57 [31]2 years ago
5 0

Answer:

x = 13

Step-by-step explanation:

one of the rules of logarithm (for all bases, by the way, not just e for ln) is

a \times  ln(b)  =  ln( {b}^{a} )

so, we have

ln(3²) = ln(x-4)

=>

3² = x - 4

9 = x - 4

x = 13

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The side length of an equilateral triangle is 6 cm. What is the height of the triangle? StartFraction 3 Over StartRoot 3 EndRoot
iren2701 [21]

Answer:

C: 3 root 3

Step-by-step explanation:

got it right on edge

8 0
3 years ago
Morgan is reupholstering an old chair with two circular cushions. Each cushion has a circumference of 7. 85 feet. He will need t
kramer

The total fabric Morgan needs to cover the cushions will be 19.64 square feet.

It is given that each cushion has a circumference of 7.85 feet.

It is known that the circumference of a circle = 2πr, where 'r' is the radius of the circle.

2πr = 7.85

r = 1.25

<h3>What is an area of a circle?</h3>

area of a circle is πr².

now, we can calculate the area = π× 1.25² = 4.91 square feet

since each circular cushion has two circular faces so the total number of faces Morgan needs to cover will be 4.

Therefore, the total fabric needed= 4×4.91 = 19.64 square feet.

to get more about the area of a circle, refer to the link:

brainly.com/question/12069107

8 0
2 years ago
Round to the merest hundredth389.993
kvasek [131]
What's a hundredth?

it's like this:

0.01

so where is the hundred place in this number?

389.9<em>9</em>3

it's the 9 that i made boldface

so to round to this number we delete everything after it, asking ourselves if the number after it is 4 or less? yes! so we can just delete it without changing anyway


389.99

3 0
3 years ago
How you substract 7 from 52
ioda
52-7 which equals 45
6 0
3 years ago
Read 2 more answers
Can someone PLEASE help me solve this equation ? due soon
RideAnS [48]

\sf{Given : 3tanx + 7 = \dfrac{2}{(1 - sinx)(1 + sinx)}}

We know that : (a - b)(a + b) = a² - b²

\implies \sf{3tanx + 7 = \dfrac{2}{1 - sin^2x}}

We know that : 1 - sin²x = cos²x

\implies \sf{3tanx + 7 = \dfrac{2}{cos^2x}}

\sf{\bigstar \ \ We \ know \ that : \boxed{\sf{\dfrac{1}{cos^2x} = sec^2x}}}

\implies \sf{3tanx + 7 = 2sec^2x}

We know that : sec²x = 1 + tan²x

\implies \sf{3tanx + 7 =2(1 + tan^2x)}

\implies \sf{2 + 2tan^2x - 3 tanx - 7 = 0}

\implies \sf{2tan^2x - 3 tanx - 5 = 0}

\implies \sf{2tan^2x -  5tanx + 2tanx - 5 = 0}

\implies \sf{2tanx(tanx + 1) - 5(tanx + 1) = 0}

\implies \sf{(tanx + 1)(2tanx - 5) = 0}

\implies \sf{tanx = -1 \ (or) \ tanx = \dfrac{5}{2} }

8 0
3 years ago
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