Tutor profile: Haylee B.
Translate the following to Mandarin Chinese: Chinese New Year is a traditional Chinese holiday. Chinese New Year begins on the first day of the first month on the lunar calendar and ends on the fifteenth day of the first month on the lunar calendar. On Chinese New Year's Eve, people like to eat a New Year's Eve reunion dinner, eat fish because "fish" in Chinese sounds like the word for "surplus," give red envelopes, and set off firecrackers. As a result, the atmosphere of Chinese New Year is very lively.
A ladder leaning against the wall makes an angle of 74º with the ground. If the foot of the ladder is 6.5 feet from the wall, how high on the wall is the ladder?
To solve this problem, it is helpful to begin by drawing out a right triangle. The hypotenuse would represent the ladder, the vertical leg would represent the wall, and the horizontal leg represents the distance from the wall to the foot of the ladder, which we are given as a distance of 6.5 feet. We also know the angle opposite the vertical leg, which is 74º. Using the trig acronym SOHCAHTOA (which stands for sin=opposite÷hypotenuse, cosine=adjacent÷hypotenuse, tangent=opposite÷adjacent), we know that we have to use the tangent function because we are given the angle, we are looking for the length for the Opposite side to the angle, and are given the Adjacent side to the angle. So, we can set up the equation as follows (where x=height of ladder on the wall): tan(74)=(x/6.5) Then, we can use algebra to solve for x. (If using a calculator, make sure you are using degrees instead of radians) tan(74)=(x/6.5) = 3.487=(x/6.5) = 3.487*6.5=x = 22.668=x So our answer is: The ladder is 22.67 feet high on the wall.
Subject: Basic Math
Solve the following equation: (4 + 3) x 10 ÷ 2 + (5 x 6)
To solve this equation, use the acronym PEMDAS to remember the order of operations. PEMDAS stands for Parentheses, Exponents, Multiplication, Division, Addition, Subtraction. Step 1. Parentheses (4 + 3) x 10 ÷ 2 + (5 x 6) becomes (7) x 10 ÷ 2 + (30) Step 2. Exponents There are no exponents in this equation. Step 3. Multiplication (7) x 10 ÷ 2 + (30) becomes 70 ÷ 2 + (30) Step 4. Division 70 ÷ 2 + (30) becomes 35 + (30) Step 5. Addition 35 + (30) becomes 65 Step 6. Subtraction There is no subtraction in this equation, so your answer is 65.
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