First you write out your problem you have. Get the 2 sets of numbers you are dividing and put them into a half square section. Then if already learned this divide and collect your answer at the top!
Answer:
1) 6 cm
2) 117°
Step-by-step explanation:
1) Draw a picture of the rhombus. The distance between opposite sides is the height of the rhombus. If we draw the height at the vertex, we get a right triangle. Using trigonometry:
sin 30° = h / 12
h = 12 sin 30°
h = 6 cm
2) Draw a picture of the rectangle.
∠KML is the angle the diagonal makes with the shorter side ML. This angle is 54°. ∠NKM is the angle the diagonal makes with the shorter side NK. ∠KML and ∠NKM are alternate interior angles, so m∠NKM = 54°.
The angle bisector of angle ∠NKM divides the angle into two equal parts and intersects the longer side NM at point P. So m∠PKM = 27°.
KLMN is a rectangle, so it has right angles. That means ∠KML and ∠KMN are complementary. So m∠KMN = 36°.
We now know the measures of two angles of triangle KPM. Since angles of a triangle add up to 180°, we can find the measure of the third angle:
m∠KPM + 36° + 27° = 180°
m∠KPM = 117°
Step-by-step explanation:
liters
The capacity of a container is the volume of a container measured in liquid units. Cups, pints, quarts, and gallons are customary units of measurement. Two metric units of capacity are milliliters and liters. A milliliter is equal to about 20 drops from an eyedropper.
For this problem, you would use the Pythagorean Theorem (a^2 + b^2 = c^2)
A and B are the length and width of the triangle. The triangle is created by the diagonal line splitting the computer screen. C is the hypotenuse, which is the diagonal line, and will always be the longest side of the triangle.
When we plug in the numbers into the formula, we would get this:
13^2 + b^2 = 15^2
B is the unknown variable in which we are trying to find.
First, you square 13 and 15:
169 + b^2 = 225
Then, subtract 169 from both sides:
b^2 = 56
Finally, find the square root of both sides:
b = 7.483314774
Simplify to the nearest tenth, and the answer is 7.5<span />
