27 divided by 3 = 9
9 times 5 = 45
Hello,
cos (5π/4)=-cos(π/4)=-√2 / 2
sin (5π/4)=-sin(π/4)=-√2 / 2
Answer:
Number of jars filled is 3
(approximately 4).
Step-by-step explanation:
Initial amount of salt = 1/2 cup.
Amount of salt left = 1/9 cup.
Amount of salt used = 1/2 - 1/9
= ![\frac{9-2}{18}](https://tex.z-dn.net/?f=%5Cfrac%7B9-2%7D%7B18%7D)
= 7/18
The size of each jar = 1/10 cup.
Amount of salt used = size of the each jar x number of jars filled
7/18 = 1/10 x number of jars filled
number of jars filled = 7/18 ÷ 1/10
= 7/18 x 10/1
= 70/18
= 3 ![\frac{8}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B8%7D%7B9%7D)
= 3.9
The number of jars filled is approximately 4.
Answer:
3
Step-by-step explanation:
15+ _ x 5
15 divided by 5 = 3
3 x 5= 15
Answer:
The density of the material is 6342 grams/liter.
Step-by-step explanation:
Given that,
The density of a certain material is such that it weighs 6 kilograms per quart of volume. We need to find the density in grams per liter.
We know that,
1 kg = 1000 g and 1 litre = 1.057 quart
So,
![d=6\ \dfrac{\text{kg}}{\text{quart}}\\\\=6\times \dfrac{1000\ \text{g}}{\dfrac{1}{1.057}\ \text{liter}}\\\\d=6342\ \text{g/liter}](https://tex.z-dn.net/?f=d%3D6%5C%20%5Cdfrac%7B%5Ctext%7Bkg%7D%7D%7B%5Ctext%7Bquart%7D%7D%5C%5C%5C%5C%3D6%5Ctimes%20%5Cdfrac%7B1000%5C%20%5Ctext%7Bg%7D%7D%7B%5Cdfrac%7B1%7D%7B1.057%7D%5C%20%5Ctext%7Bliter%7D%7D%5C%5C%5C%5Cd%3D6342%5C%20%5Ctext%7Bg%2Fliter%7D)
Hence, the density of the material is 6342 grams/liter.