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3 years ago

Find the value of x in the equation below. 2(x - 8) = 24

Mathematics

1 answer:

Elza [17]3 years ago

4 0

Answer:

Step-by-step explanation:

2(x - 8) = 24

2x - 16 = 24

Bringing like terms on one side

2x = 24 + 16

2x = 40

x = 40/ 2

x = 20

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100 POINTS EZ |

ehidna [41]

Area of the quadrilateral=1/2×diagonal×(sum of perpendiculars)

Put the values

Area:-

$\\ \rm\Rrightarrow \dfrac{1}{2}(24)(8+13)$

$\\ \rm\Rrightarrow 12(21)$

$\\ \rm\Rrightarrow 252m^2$

7 0

2 years ago

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Can someone explain this one to me

disa [49]

Answer:

Step-by-step explanation:

3 0

3 years ago

Suppose it takes 45 hours for robot A to construct a new robot. Working together with robot B, it takes 25 hours for both robots

Len [333]

Answer:

56 hours 25 minutes

Step-by-step explanation:

Given:

Suppose it takes 45 hours for robot A to construct a new robot

It takes 25 hours for both robots to construct a new robot.

Question asked:

How long would it take robot B to construct a new robot, working alone ?

Solution:

Let the time taken by robot B to construct new robot = $x$

By robot A

It takes 45 hours to construct = 1 new robot

It takes 1 hour to construct = $\frac{1}{45} \ new\ robot$

By robot B

It takes $x$ hours to construct = 1 new robot

It takes 1 hour to construct = $\frac{1}{x}$ new robot

By working together

It takes 25 hours to construct = 1 new robot

It takes 1 hour to construct = $\frac{1}{25} \ new\ robot$

$\frac{1}{25}$ new robot is constructed in = 1 hour

New robot is constructed by both working together in 1 hour = New robot is constructed by robot A in 1 hour + New robot is constructed by robot B in 1 hour

$\frac{1}{25} =\frac{1}{45} +\frac{1}{x} \\$

Subtracting both sides by $\frac{1}{45}$

$\frac{1}{25}-\frac{1}{45} =\frac{1}{45} -\frac{1}{45}+\frac{1}{x} \\\\\frac{1}{25}-\frac{1}{45} =\frac{1}{x}\\\\ Taking\ LCM \ of \ 25\ and\ 45,\ we\ got\ 225$

$\frac{9-5}{225} =\frac{1}{x} \\ \\ \frac{4}{225} =\frac{1}{x}\\\\ By\ cross \ multiplication\\4\times x=225\\Dividing\ both\ sides\ by\ 4\\x=56.25\ hours$

Thus, robot B would take 56 hours 25 minutes to construct a new robot, working alone.

4 0

3 years ago

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You are skiing down a mountain with a vertical height of 800 feet. The distance from the top of the mountain to the base is 1600

adoni [48]

Answer:

θ = $30^{0}$

Step-by-step explanation:

Since the vertical height of the mountain is 800 feet, and the distance from the top to its base is 1600 feet. Let the angle of elevation be represented by θ, applying the required trigonometric function;

Sin θ = $\frac{opposite}{hypotenuse}$