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3 years ago

Convert an annual rate of 6.4% to a quarterly rate.

Mathematics

2 answers:

Neporo4naja [7]3 years ago

8 0

for what am im coverting how much money am i working with here

Semmy [17]3 years ago

3 0

divide the annual rate by four because there are four quarters in a year

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How to get 6.9 as a fraction

finlep [7]

6 9/10 is what 6.9 is in fraction form

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3 years ago

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Help plz Find the measurement of the angles of a triangle if they are in the ratio 5:4:3

Lerok [7]

Answer:

See below:

Step-by-step explanation:

Let the angles be 5x , 4x , 3x.[Since the angles are in ratio 5:4:3 ] respectively.

We know that sum of all angles of a triangle is 180°.

So,

$5x + 4x + 3x = 180 {}^{ \circ}$

Now Find the value of x of this equation.

$\sf \implies \: 5x + 4x + 3x = 180 {}^{ \circ}$

$\sf \implies12x = 180 {}^{ \circ}$

$\sf \implies \: x = \cfrac{180 { {}^{ \circ} }}{12}$

$\sf \implies \: x = \cfrac{ \cancel{180 {}^{ \circ}} }{ \cancel{12}}$

$\sf \implies \: x = 15 {}^{ \circ}$

Now,

Multiply each ratio given by 15 which is the value of x we got.

That is;

$\therefore \sf\implies \: First \: Angle = 5 \times 15 {}^{ \circ} = \boxed{75 {}^{ \circ}}$

$\sf \sf \implies \: Second\: Angle = 4\times 15 {}^{ \circ} = \boxed{60 {}^ \circ}$

$\sf \implies \: Third\: Angle = 3 \times 15 = \boxed{ {45}^ \circ}$

Hence,the measurements of the angles of the triangle would be 75°[First Angle],60°[Second angle],and 45° [Third Angle].

$\rule{225 pt}{2pt}$

I hope this helps!

Let me know if you have any questions.

5 0

1 year ago

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Matthew has two kind of rice brown rice 8 7/8 and white rice 6 3/4 How much more brown rice than white rice does Matthew have?

pychu [463]

Mathew has $\frac{17}{8} \text{ or } 2\frac{1}{8}$ more brown rice than white rice

Solution:

Given that Matthew has two kind of rice ; brown rice and white rice

From given question,

$\text{Brown rice } = 8\frac{7}{8}\\\\\text{White rice } = 6\frac{3}{4}$

Let us convert the mixed fractions to improper fractions

Multiply the whole number part by the fraction's denominator

Add that to the numerator

Then write the result on top of the denominator

$\text{Brown rice } = 8\frac{7}{8} = \frac{8 \times 8 + 7}{8} = \frac{71}{8}$

$\text{White rice } = 6\frac{3}{4} = \frac{4 \times 6 + 3}{4} = \frac{27}{4}$

How much more brown rice than white rice does Matthew have?

So we need to find the difference between brown rice and white rice

Difference = brown rice - white rice

$difference = \frac{71}{8} - \frac{27}{4}$

Make the denominators same for easier calculations

$difference = \frac{71}{8} - \frac{27 \times 2}{4 \times 2}\\\\difference = \frac{71}{8} - \frac{54}{8}\\\\difference = \frac{71 - 54}{8} = \frac{17}{8}$

Converting again to mixed fractions we get,

$difference = \frac{17}{8} = 2\frac{1}{8}$

Thus Mathew has $\frac{17}{8} \text{ or } 2\frac{1}{8}$ more brown rice than white rice

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3 years ago

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Which list shows the temperatures in order from coldest to warmet in fahrenheit?

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