All categories

2 years ago

Match these items match the items in the left column to the items in the right column

Mathematics

1 answer:

Setler [38]2 years ago

5 0

1) Base
2) Exponent
3) Metric system

You might be interested in

Find the exact value of cos(a+b) if cos a=-1/3 and cos b=-1/4 if the terminal side if a lies in quadrant 3 and the terminal side

maria [59]

Answer:

cos(a + b) = $\frac{1}{12}(1-2\sqrt{30})$

Step-by-step explanation:

cos(a + b) = cos(a).cos(b) - sin(a).sin(b) [Identity]

cos(a) = $-\frac{1}{3}$

cos(b) = $-\frac{1}{4}$

Since, terminal side of angle 'a' lies in quadrant 3, sine of angle 'a' will be negative.

sin(a) = $-\sqrt{1-(-\frac{1}{3})^2}$ [Since, sin(a) = $\sqrt{(1-\text{cos}^2a)}$ ]

= $-\sqrt{\frac{8}{9}}$

= $-\frac{2\sqrt{2}}{3}$

Similarly, terminal side of angle 'b' lies in quadrant 2, sine of angle 'b' will be negative.

sin(b) = $-\sqrt{1-(-\frac{1}{4})^2}$

= $-\sqrt{\frac{15}{16}}$

= $-\frac{\sqrt{15}}{4}$

By substituting these values in the identity,

cos(a + b) = $(-\frac{1}{3})(-\frac{1}{4})-(-\frac{2\sqrt{2}}{3})(-\frac{\sqrt{15}}{4})$

= $\frac{1}{12}-\frac{\sqrt{120}}{12}$

= $\frac{1}{12}(1-\sqrt{120})$

= $\frac{1}{12}(1-2\sqrt{30})$

Therefore, cos(a + b) = $\frac{1}{12}(1-2\sqrt{30})$

5 0

2 years ago

What kind of motion do people have on an escalator

stepladder [879]

Answer:

Not everyones is the same just before I begein explaing.. A lot of people get motion sick some don't some like going on them

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

What is the simplest form of the ratio 40:16?

Svetlanka [38]

So the greatest common factor of 40 and 16 is 8

40/8 : 16/8

5:2

The simplest form of the ratio 40:16 is 5:2

Hope this helps!

3 0

2 years ago

Read 2 more answers

if a recipe has 3/8 cups of water and 2 cups of flour what is the ratio and then what is the ratio in a fraction or simplified?

Lady bird [3.3K]

Answer: The ratio of eggs, eggs, to two cups of flour. Let me write two cups of flour. Cups of flour. In either case is, is four eggs for every three cups of flour 5/2

Step-by-step explanation: Im not sure through

7 0

2 years ago

A dairy cow can produce up to 2000 gallons of milk every 365 days. At this rate, a cow can produce x gallons of milk in 500 days

Mariulka [41]

First I cant understand the choices, because on how you type so I will jus provide the answer for you. First the amount of milk produce is proportional to the number of days so

2000 = k(365)

K = 2000 / 365

So to solve for x

X = ( 2000/365) 500

5 0

2 years ago