A.A.44: Using Trigonometry to Find a Side: Find the measure of a side of a right triangle, given an acute angle and the length of another side 1 In the accompanying diagram of right triangle ABC, [pic] and [pic]. [pic] Which single function could be used to find AB? |1) |[pic] | |2) |[pic] | |3) |[pic] | |4) |[pic] | 2 In right triangle ABC, [pic]. Which equation is true for this triangle? [pic] |1) |[pic] | |2) |[pic] | |3) |[pic] | |4) |[pic] | 3 The accompanying diagram shows a ramp 30 feet long leaning against a wall at a construction site.
ANSWERS page 1 page 2 ELL Support 1-1 1-1 Nets and Drawings for Visualizing Geometry folds into a solid right-side view Nets and Drawings for Visualizing Geometry Multiple Representations There are eight different nets for the solid shown at the right. Draw as many of them as you can. (Hint: Two nets are the same if you can rotate or flip one to match the other.) Add the phrases to the web. Place them where you think they should go.
Solve the triangle. Given: A = 48° C = 97° a = 12 B = 35° b = 9.2 c = 16.0 5. The given measurements produce one triangle. Given: a = 7, b = 5, A = 70° C = 67.8, B = 42.1, c = 6.8 6. x×tan62 = (x+300)×tan53 = perpendicular x = 300×tan53/(tan62-tan53) = 719.0295 yards AB = (x+300/cos53 = 1019.0295/cos53 = 1693.3 yards Distance between A and B is 1693.3 yards 7. Given: sides, 5,6,7 in miles Island A = 78.46° Island B = 135.58° Island C = 57.12° Given the information… From Island B I would travel a Northwest Bearing to Island C. 8.
Use the graph to identify the value of µ and . 3) 70 79 A) µ = 9, = 97 88 97 106 115 B) µ = 97, = 27 124 C) µ = 27, = 97 D) µ = 97, =9 4) 4) The normal density curve is symmetric about A) An inflection point B) A point located one standard deviation from the mean C) The horizontal axis D) Its mean 1 5) The area under a standard normal density curve with mean of 0 and standard deviation of 1 is A) 1 B) µ + 2(3 ) C) infinite D) µ + 3 6)
Savannah 25 Facts 1. How much of the land on Earth do the Grasslands cover? Grasslands cover one-fifth of the land on Earth. 2. Describe the African Savanna?
Show your working. 3 t + 4 = t + 13 t= 2 marks 2 (3n + 7) = 8 n= 1 mark KS3/03/Ma/Tier 6–8/P1 3 Shapes 2. The drawing shows how shapes A and B fit together to make a right-angled triangle. Work out the size of each of the angles in shape B. Write them in the correct place in shape B below.
The following are measures of spread: • standard deviation • root mean square errors • percentile ranges • polyunsaturated margarine 5. Describe what the standard error of the estimate is. 6. Confidence intervals... • are a new form of sprint training. •
State the place value of the underlined digit in 6 953 742. A Hundreds C Ten thousands B Thousands D Hundred thousands ( 3. Round off 5 987 341 to the nearest hundred thousand. A 5.8 million C 6.0 million ( B 5.9 million D 6.1 million 4. Which of the following numbers, when rounded off to the nearest thousand, becomes 7 541 000?
Each bag of color candies and the amount in each bag was documented. Step two: In step two of the project the Excel data program was used in order to document color proportions and the number of candies in each bag. Each bag was separated into colors and the numbers per bag. For example my first bag had a total of 56 pieces. Each color had the following number of pieces: Green 16, Orange 10, Brown 6, Yellow 9, Red 6, and Blue 9.
If the value of x is postnatal age of 30 hours, what is the value for Yˆ or SBP for neonates ≤1,000 grams? Show your calculations. 208 EXERCISE 27 • Simple Linear Regression 6. In the legend beneath Figure 2, the authors give an equation indicating that systolic blood pressure is SBP = 50.3 + 0.12x. If the value of x is postnatal age of 30 hours, what is the value for Yˆ or SBP for neonates 1,001–1,500 grams?