There is a triangle with angles measuring 90 degrees and 34 degrees. The other angle is unknown. The sides of the triangle are 7 inches long and 3 inches long with the longest side having an unknown length. Find the unknown angle and the length of the unknown side.
Because one of the angles of the triangle is 90 degrees, we know this triangle is a right triangle. Therefore, we know that the angles all add up to 180 degrees. So to find the unknown angle we can add up the other two angles and subtract the solution from 180. When we do this, we get the unknown angle to be 56 degrees. We also know that right triangles follow the equation of c^2 = a^2 + b^2 with c being the length of the longest side (hypotenuse), and with a and b being the other two sides (it does not matter which side is a and which is b). So to find the length of the longest side we can add up 7^2 and 3^2 which equals 58. Then we are left with c^2 = 58. To find the value for c we simply take the square root of both sides of the equation. We are left with c = 7.6 which is the length of the longest side of the triangle in inches.
A substance with a high viscosity is poured into a cup. Will the substance pour more slowly or quickly than a substance with a low viscosity?
The substance with a high viscosity will pour more slowly than a substance with a low viscosity because viscosity means think or sticky. Viscosity is caused by internal friction of the molecules that make up the substance.
Which of the following molecules would be able to pass through the phospholipid bilayer of a cell by simple diffusion (without requiring energy or the help of a protein): a glucose molecule, a potassium Ion, or a fatty acid?
A fatty acid would be able to pass through the phospholipid bilayer without the help of a protein and without requiring energy because a fatty acid is LIPID SOLUBLE. This means that the molecule has a high affinity for lipids and would easily be able to pass through a bilayer made of other lipids. The glucose molecule is a larger molecule and would require the help of a protein such as a channel or a carrier protein. The potassium ion is charged and therefore would not mix well with lipids. The potassium ion will require the help of a ion pump.