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3 years ago

How do you do this? I'm confused.

Mathematics

1 answer:

s2008m [1.1K]3 years ago

8 0

So you divide 50 by 2 so there are 25 before him

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In a jewelry store, rings makeup 5/9 of the inventory. Earrings make up 4/15 of the inventory. How many times greater is the rin

Free_Kalibri [48]

First let's make the denominators equal, so that we can compare the two fractions more easily.
To do this, we have to find a number that both 15 and 9 divide into. The smallest number that this can happen to is 45.

15 x 3 = 45
9 x 5 = 45

So we have to multiply 15 by 3 in order to make it into 45. If we're changing the denominator, the numerator must change too, by the same multiplier.

4 ---> 4 x 3 = 12
--
15 ---> 15 x 3 = 45

4/15 = 12/45

5 ---> 5 x 5 = 25
--
9 ---> 9 x 5 = 45

5/9 = 25/45

To find how many times more rings there are, we divide 25 by 12. As the result of this isn't an integer, we leave the answer as a fraction:

There rings inventory is 25/12 times bigger than the earrings inventory.

4 0

3 years ago

How can csc^2-cot^2 = 1?

Softa [21]

ANSWER

By simplifying the left hand side using the Pythagorean Identity.

EXPLANATION

The given identity is

$\csc^{2} (x) - \cot^{2} (x) = 1$

Take the left hand side and simplify to get the right hand side.

$\csc^{2} (x) - \cot^{2} (x) = \frac{1}{\sin^{2} (x)} - \frac{ \cos^{2} (x)}{\sin^{2} (x)}$

Collect LCM for the denominators.

$\csc^{2} (x) - \cot^{2} (x) = \frac{1 - \cos^{2} (x)}{\sin^{2} (x)}$

Recall the Pythagorean Identity.

$\cos^{2} (x) + \sin^{2} (x) = 1$

This implies that:

$1 - \cos^{2} (x) = \sin^{2} (x)$

We substitute this to get,

$\csc^{2} (x) - \cot^{2} (x) = \frac{\sin^{2} (x)}{\sin^{2} (x)}$

$\csc^{2} (x) - \cot^{2} (x) = 1$

6 0

3 years ago

Percent of students with brown eys

Over [174]

Answer:

between 55 to 79 percent

6 0

2 years ago

There are 16 boys and 18 girls what is the probability of the boys name

ExtremeBDS [4]

is there more to this question

8 0

3 years ago

Find the total surface area of the triangular prism

GuDViN [60]

Answer:

$1,008\:\mathrm{cm^2}$

Step-by-step explanation:

The total surface area of this triangular prism consists of three rectangles and two triangles. Adding the areas of each of these shapes allows us to find the total surface area of this 3D figure:

Area of both triangles:

$2\cdot \frac{1}{2}\cdot12\cdot 14=168\:\mathrm{cm^2}$

Area of all three rectangles:

$15\cdot 20 +13\cdot 20+14\cdot 20=840\:\mathrm{cm^2}$

Therefore, the total surface area of this figure is:

$840+160=\fbox{$1,008\:\mathrm{cm^2}$} \: \checkmark$

3 0

3 years ago