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3 years ago

An angle measuring 75° turns through a circle. Write the fraction for how much of the circle the angle turns through.

Mathematics

2 answers:

gizmo_the_mogwai [7]3 years ago

7 0

Answer: The angle turns through $\dfrac{5}{24}$ of the circle.

Step-by-step explanation:

Since we have given that

An angle measuring through a circle by turning = 75°

We know that angle formed by whole circle is 360°.

So, Fraction of the angle turns through

$\dfrac{Angle\ rotation}{Total\ angle}$

$=\frac{75}{360}\\\\=\frac{5}{24}$

Hence, The angle turns through $\dfrac{5}{24}$ of the circle.

Marizza181 [45]3 years ago

6 0

You should know that a whole circle consists of 360 degrees. Since the problem states that an angle measures 75 degrees you would then realize it is 75 degrees out of 360 degrees, or 75/360. This simplifies to 5/24.

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Rewrite each expression by combining like terms.

Evgesh-ka [11]

Answer:

5y-2xy

6q-6

Step-by-step explanation:

For the first expression, we can multiply 5 by y to get 5y. Thats all we can simplify it though, because xy is not equal to x or y.

For the second equation, we can easily add the variables to simplify. 6q-6

Hope this helps!

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4 years ago

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Si se invierten $ 500 a una tasa de 5% anual. Hallar el valor futuro a 3 años si el interés es compuesto trimestralmente.

9966 [12]

Answer:

the future value is $5800.38

Step-by-step explanation:

Given that

The invested amount i.e present value is $500

The rate is 5 % per year so quarterly rate is 5% ÷ 4 = 1.25%

The time period is 3 per year so for quartely it is 3 × 4 = 12

We need to find out the future value

So as we know that

Future value = Present value × (1 + rate of interest)^time

= $500 × (1 + 0.0125)^12

= $580.38

hence, the future value is $5800.38

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3 years ago

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kumpel [21]

Answer:

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4 years ago

What's the z in 15=0.2z?

Anvisha [2.4K]

Answer:

Step-by-step explanation:

15/.2=75

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3 years ago

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Find the equation of the line with a slope of 1/5 that passes through the point (10,9).

IRINA_888 [86]

Answer:

The equation of the line with a slope of 1/5 that passes through the point (10,9) is:

$y=\frac{1}{5}x+7$

Step-by-step explanation:

Given

Slope = m = 1/5

Point (10, 9)

To Determine

An equation of the line with a slope of 1/5 that passes through the point (10,9).

We know that the point-slope form of the line equation is

$y-y_1=m\left(x-x_1\right)$

where

m is the slope of the line

(x₁, y₁) is the point

substituting the values m = 1/5 and the point (10, 9) in the equation

$y-y_1=m\left(x-x_1\right)$

$y-9=\frac{1}{5}\left(x-10\right)$

Add 9 to both sides

$y-9+9=\frac{1}{5}\left(x-10\right)+9$

$y=\frac{1}{5}x-2+9$

$y=\frac{1}{5}x+7$

Therefore, the equation of the line with a slope of 1/5 that passes through the point (10,9) is:

$y=\frac{1}{5}x+7$

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3 years ago