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3 years ago

Factor the expression completely -9.75 + 3.25x

Mathematics

1 answer:

makvit [3.9K]3 years ago

6 0

3.25*(x-3)

Just take out a 3.25

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Can someone please help me

mart [117]

Answer:

x = 25

Step-by-step explanation:

3x = 75

divide both sides by 3

x = 25

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3 years ago

What is the slope of the line represented by 5x- 12y = 24

madam [21]

Answer: Slope= 0.833/2.000= 0.417

Step-by-step explanation:

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2 years ago

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At 3pm, the length of the shadow of a thin vertical pole standing on level ground is the same as the height of the pole. A while

aliya0001 [1]

Answer: The height of the pole is 175.97 ( approx )

Step-by-step explanation:

Let the height of the pole is x cm,

Also, let the angle of elevation of the sun to the pole at 3 pm is $\theta$

Thus, by the question,

$tan\theta = \frac{\text{ The height of the pole}}{\text{ The height of the shadow}}$

$\implies tan\theta = \frac{x}{x}$ ( at 3pm the height of shadow = height of the pole)

$\implies tan\theta = 1$

$\implies \theta = 45^{\circ}$

Again, according to the question,

When the angle of elevation is $(\theta - 12^{\circ})$ ,

The height of shadow = x + 95,

$\implies tan(45-12)^{\circ}=\frac{x}{x+95}$

$\implies tan 33^{\circ}=\frac{x}{x+95}$

$\implies tan 33^{\circ}x + 95\times tan33^{\circ}=x$

$\implies tan 33^{\circ}x - x = - 95\times tan33^{\circ}$

$\implies -0.3505924068 x = - 61.6937213538$

$x=175.969930202\approx 175.97\text{ cm}$

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3 years ago

The minute hand on a clock is 6 inches long. Between 1:15 p.m. and 1:40 p.m., the minute hand travels along an arc subtended by

user100 [1]

Answer:

Step-by-step explanation:

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2 years ago

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aniked [119]

The answer is C.

If Sergio is 'S' years old, and you want to know how old he'll be in 7 years, add 7 years to his age.

So: s + 7

Hope this helps!

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3 years ago

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