All categories

3 years ago

In a typical symphony orchestra, 16 out of every 100 musicians are violinists. What fraction of the orchestra are violinists?

Mathematics

1 answer:

Salsk061 [2.6K]3 years ago

7 0

I think the answer is 4/25 simplified to the lowest amount

You might be interested in

One angle of a triangle measures 36.5 degrees. What is the measure of the smaller angle?

Sunny_sXe [5.5K]

The final answer would depend in the type of triangle we are analyzing, however here are the possible outcomes:

1.) If it was a right triangle, 36.5 would be the smaller angle.

2.) It cannot be an equilateral triangle since all angles would be 60°.

3.) In a isosceles triangle, 36.5° would be the smaller, since the others would be 72°.

4.) In an scalene triangle it cannot be determined unless we had 2 angles since in that kind of triangle all angles can be different.

5.) In an acute triangle, 36.5° would be the smaller angle.

6.) In an obtuse triangle it cannot be determined unless we had 2 angles, since it can have highly acute angles.

7 0

3 years ago

Read 2 more answers

Stephen is 2 years older than Sushil. krutika is 4 years younger than Sushil. If the total of their ages is 61, how old is the e

german

Shushils age = 19.6
Stephens age 21.6
Krutikas age = 15.6

6 0

3 years ago

Read 2 more answers

Rich measured the height of a desk to be 80.7 cm. The actual height of the desk is 80 cm. What is Rich's percent error in this c

Hitman42 [59]

Answer:

0.9%

Step-by-step explanation:

We have been given that Rich measured the height of a desk to be 80.7 cm. The actual height of the desk is 80 cm.

We will use percentage error formula to solve our given problem.

$\text{Percentage error}=\frac{\text{Experimental value-Actual value }}{\text{Actual actual}}\times 100$

$\text{Percentage error}=\frac{80.7-80}{80}\times 100$

$\text{Percentage error}=\frac{0.7}{80}\times 100$

$\text{Percentage error}=0.00875\times 100$

$\text{Percentage error}=0.875\approx 0.9$

Therefore, Rich's percent error in calculation is 0.9%.

5 0

3 years ago

How do you use an egg machine?

Daniel [21]

Answer:

like what kind of egg machine because theres a lot of different types

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Answer the question in the picture

nekit [7.7K]

Recall the angle sum identities:

$\sin(x+y)=\sin x\cos y+\cos x\sin y$

$\cos(x+y)=\cos x\cos y-\sin x\sin y$

Now,

$\tan(x+y)=\dfrac{\sin(x+y)}{\cos(x+y)}=\dfrac{\sin x\cos y+\cos x\sin y}{\cos x\cos y-\sin x\sin y}$

Divide through numerator and denominator by $\cos x\cos y$ to get

$\tan(x+y)=\dfrac{\tan x+\tan y}{1-\tan x\tan y}$

Next, we use the fact that $x,y$ lie in the first quadrant to determine that

$\sin x=\dfrac12\implies\cos x=\sqrt{1-\sin^2x}=\dfrac{\sqrt3}2$

$\cos y=\dfrac{\sqrt2}2\implies\sin x=\sqrt{1-\cos^2x}=\dfrac1{\sqrt2}$

So we then have

$\tan x=\dfrac{\sin x}{\cos x}=\dfrac{\frac12}{\frac{\sqrt3}2}=\dfrac1{\sqrt3}$

$\tan y=\dfrac{\sin y}{\cos y}=\dfrac{\frac1{\sqrt2}}{\frac{\sqrt2}2}=1$

Finally,

$\tan(x+y)=\dfrac{\frac1{\sqrt3}+1}{1-\frac1{\sqrt3}}=\dfrac{1+\sqrt3}{\sqrt3-1}=2+\sqrt3\approx3.73$

4 0

2 years ago