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VashaNatasha [74]
3 years ago
13

Please solve this equations and include the workings

Mathematics
2 answers:
laiz [17]3 years ago
7 0

Answer:

Step-by-step explanation:

6^x/6 = x

(6^2)^y = 36^y

so, x= 2y

faust18 [17]3 years ago
3 0

Answer:

2³ x 2⁴ = 128

6³/6 = 36¹

Step-by-step explanation:

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How tall is a building that casts a ​78-ft shadow when the angle of elevation of the sun is 30 degrees​?
Marta_Voda [28]

Answer: 45.03\ ft

Step-by-step explanation:

Given

The length of the shadow is 78 ft

the angle of elevation is \theta =30^{\circ}

Suppose the height of the building is h

From the figure, we can write

\tan 30^{\circ}=\dfrac{h}{78}\\\\h=78\tan 30^{\circ}\\\\h=45.03\ ft

The height of the building is 45.03 ft

8 0
2 years ago
What set of angles are not congruent
dexar [7]
ANSWER: The angles opposite to the two sides of the same length are congruent. A triangle without any congruent sides or angles is called a scalene triangle.

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7 0
3 years ago
Solve and state any extraneous solutions
Mice21 [21]

\frac{3x}{x - 1}  + 2 =  \frac{3}{x - 1}

\frac{3x}{x - 1} +  \frac{2(x - 1) }{ x - 1}   =  \frac{3}{x - 1}

\frac{3x}{x - 1}  +  \frac{2x - 2}{ x - 1}  =  \frac{3}{x - 1}

\frac{3x + 2x - 2}{ x - 1}  =  \frac{3}{x - 1}

3x + 2x - 2 = 3

5x - 2 = 3

5x = 3 + 2

5x = 5

x =  \frac{5}{5}

x = 1

3 0
3 years ago
Tim poured 0.5 liters of water into a beaker and then added 300 milliliters more. What was the total amount of water in the beak
SVETLANKA909090 [29]
So, Using your conversion chart(if you have one) you'd see 1 liter makes 1000 milliliters. So, if you have half of a liter(0.5), then you have 500 milliliters. If he adds 300 more, then you get 800 milliliters total, which is also equal to 0.8 liters. Hope this helps! 
8 0
3 years ago
The factors of the quadratic function g(x) are (5x – 1) and (x + 4). What are the solutions to the equation g(x) = 0?
Cerrena [4.2K]

Answer:

The solutions to the equation are x = \frac{1}{5} and x = -4

Step-by-step explanation:

The factors of the quadratic function g(x) are (5x – 1) and (x + 4).

This means that:

g(x) = 0

(5x - 1)(x + 4) = 0

So

5x - 1 = 0

5x = 1

x = \frac{1}{5}

And

x + 4 = 0

x = -4

The solutions to the equation are x = \frac{1}{5} and x = -4

7 0
3 years ago
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