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3 years ago

To decrease an amount by 18%, what single multiplierwould you use?

Mathematics

1 answer:

salantis [7]3 years ago

4 0

Original number is 100%

100% decreased by 18% means

100% -18%=82%

multiplier is 82% aka 0.82

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Julian study a dog walking business over his summer break. He charges $10 for every 1/3 hour he walks a dog if he increases his

Genrish500 [490]

Answer:

The amount of increase per $\frac{1}{3}$ hour by $1.

Step-by-step explanation:

Julian charges $10 for every $\frac{1}{3}$ hour he walks a dog.

He increases his fee by 10%

Now we have to find 10% of $10

Amount increased = $\frac{10}{100} .10 = 1$

So the amount increased by $1.

The amount of increase per $\frac{1}{3}$ hour by $1.

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3 years ago

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

a square flower garden in Samantha's backyard has an area of 100 square feet how much fencing will she need to enclose the flowe

leonid [27]

Answer:

perimeter = 40 feet

Step-by-step explanation:

side^2 = 100

side = 10

perimeter = 10 x 4 =40

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3 years ago

What is the equation of this line?

chubhunter [2.5K]

It is a.) y = (3/2)x

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3 years ago

Read 2 more answers

Divide using synthetic division (3x^2 + 4x - 5) +(x+4)

Mashcka [7]

Answer:

Factor the numerator and denominator and cancel the common factors.

Step-by-step explanation:

3x² + 5x - 1

5 0

3 years ago