In triangle ABC below, the tan of the marked angle equals Combine the x-terms, and subtract 6 from each side to find 12x – 6 = y, in which the m term must be 12, (G).ĥ. In order to find the slope, put this equation into slope-intercept form, or y = mx + b. What is the slope of the line represented by the equation 10 x + 2 x = y + 6 ? Now that you've got the slots filled in, go ahead and multiply the numbers to find the number of possible arrangements: Then, fill the rest in as normal, remembering that W is already taken, so there are only four letters left: There is a restriction on the last slot in that only one letter, W, can go there, so fill this one in first: This is problem is asking for arrangements, so start by creating the number of slots you will need: In the word HAWKS, how many ways is it possible to rearrange the letters if none repeat and the letter W must go last? Then find the circumference of circle B, with C = 2π r = 2π r(2) = 4π, or choice (G).ģ. If the radius of circle B is half that of circle A, then the radius of circle B must be 2. The area of circle A is 16π and because A = π r 2, the radius of circle A must be 4. If you have one piece of information about a circle, you can find everything else you need. If the area of circle A is 16π then what is the circumference of circle B if its radius is ½ that of circle A ? If you selected choice (A), be careful this is the smallest value of x that solves the equation. Try choice (C), 3 2 - 4 (3) + 3 = 9 - 12 + 3 = 0, It works, and because you're plugging in the answer, you can stop once you've found a correct answer. The problem is asking for the largest, so start with choice (E). A great indication that you can plug in the answer. This might look like a traditional plug-and-chug problem, but the problem is asking for a specific value, and the answer choices are all real numbers. What is the largest value of x that solves the equation x 2 - 4x +3 = 0 You may use your calculator for any problems you choose, but some of the problems may best be done without using a calculator.ġ. You are permitted to use a calculator for these questions. Don’t panic! Because ACT is so specific about the types of questions it expects you to answer, you can easily prepare to tackle them. This means you need to memorize relevant formulas, so you can recall them quickly as needed. The ACT does not provide any formulas at the beginning of the Math Test. 4 questions based on basic sine, cosine, and tangent functions, trig identities, and graphing.9 coordinate geometry questions based on slope, distance, midpoint, parallel and perpendicular lines, points of intersection, and graphing.14 plane geometry questions based on angles, lengths, triangles, quadrilaterals, circles, perimeter, area, and volume.9 intermediate algebra questions based on exponents, roots, simultaneous equations, and quadratic equations.10 elementary algebra questions based on inequalities, linear equations, ratios, percentages, and averages.14 pre-algebra questions based on math terminology (integers, prime numbers, and so on), basic number theory (rules of zero, order of operations and so on), and manipulation of fractions and decimals.The ACT Math Test usually breaks down into 6 questions types: pre-algebra, elementary algebra, and intermediate algebra questions plane geometry and coordinate geometry questions and some trigonometry questions. You will have 60 minutes to answer 60 multiple-choice questions based on “topics covered in typical high school classes.” For those of you who aren’t sure if you went to a typical high school, these questions break down into rather precise areas of knowledge. COVID-19 Update: To help students through this crisis, The Princeton Review will continue our "Enroll with Confidence" refund policies.
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Next → ← prev PHP IDE and Code Editor Software Then there are a mass of plastic figures representing military units, blue for the Free Peoples and Red for the forces of Shadow. Firstly the board is 41 by 54 inches so you are going to need a big table. The second is the ring, if the ring gets destroyed by throwing it into the cracks of Mount Doom then the player of the Free Peoples wins, if the Ringbearer fails in this quest then the player of the Shadow wins. There are two possible routes to victory the first is the military route which comes down to conquest and capture of enemy cities and strongholds. It uses Action Dice, which allow players to do things like move armies, play event cards, move specific characters and so on. The game plays best with two players, on one side is the Free Peoples, on the other are the forces of Shadow. War of the Ring is an area control strategy war game based on the events of Lord of the Rings. Each Event Card can also create an unexpected turn in the game, allowing special actions or altering the course of a battle. Event Cards are played to represent specific events from the story (or events that could possibly have happened) that cannot be portrayed through normal game-play. Depending on the face rolled on each die, different actions are possible (moving armies, characters, recruiting troops, advancing a Political Track).Īction Dice can also be used to draw or play Event Cards. But the Companions can spur the Free Peoples to the fight against Sauron, so the Free People player must balance the need to protect the Ringbearer from harm, against the attempt to raise a proper defense against the armies of the Shadow, so that they do not overrun Middle Earth before the Ringbearer completes his quest.Įach game turn revolves around the roll of Action Dice: each die corresponds to an action that a player can do during a turn. Sauron is not aware of the real intention of his enemies but is looking across Middle Earth for the precious Ring, so that the Fellowship is going to face numerous dangers, represented by the rules of The Hunt for the Ring. But the true hope of the Free Peoples lies with the quest of the Ringbearer: while the armies clash across Middle Earth, the Fellowship of the Ring is trying to get secretly to Mount Doom to destroy the One Ring. The game can be won by a military victory, if Sauron conquers a certain number of Free People cities and strongholds or vice versa. Initially, the Free People Nations are reluctant to take arms against Sauron, so they must be attacked by Sauron or persuaded by Gandalf or other Companions, before they start to fight properly: this is represented by the Political Track, which shows if a Nation is ready to fight in the War of the Ring or not. In War of the Ring, one player takes control of the Free Peoples (FP), the other player controls Shadow Armies (SA). 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Its irregular habit lends it a naturally wild, windswept look, but it can also be staked or trained into a truly one of a kind specimen or serve as an excellent candidate for bonsai. Light green new needles eventually deepen to rich green over the course of the growing season. New foliage is creamy white, becoming pale yellow green Older growth slowly darkens with age to a blue-green which really shows off the new tips It has a graceful drooping form with powder blue colored needles. Has a yellow-green glow during winter monthsĪ medium growth rate and a pyramidal shape that will grow taller than wide. Vibrant green needles form dense clusters on very horizontal arms Cedrus atlantica ‘Fastigiata’ will grow as tall as the species, but its slender, columnar footprint requires less spaceīlue needled, weeping conifer that can be trained to run along a fence weeping branchlets create a curtain like effectĬedrus atlantica 'Horstmanns Silberspitz'Īn intermediate-growing, narrowly upright, tree form of Atlas cedar is species-typical layered, symmetrical branching and foliage that flushes creamy white, which contrasts beautifully with the blue-green needles of past seasons Tolerant of maritime exposuresįantastic color - vibrant, blue-green needles and dramatically ascending branches contribute the character and shape needed to perform as a focal point or in a grouping. Pineapple-shaped female cones take 2 - 3 years to mature. The needles are about 1 inch (2.5 cm) long, dark green above, the needle base is decorative silver white Overall, its growth habit is upright, with branches hanging over. Plant gets it's name from its exfoliating, red bark intense puple cones in springĪn attractive, slow growing weeping Veitch's fir. This tree has a perfect pyramid shape with golden foliage when exposed to full sun Long, straight branches that grow straight up with blue-green needles The needles are short and very dark greenĪbies nordmanniana 'Hupps Perfect Pillar' Low growing mound-shaped conifer with striking deep purple cones.ĭark green needles topped with a profusion of purple cones make this compact conifer a stand-outĭense, round Fir has remarkable, dark-green needles that are a showy silver on the undersides Golden foliage, yellow with white undersides, purple buds in late winter Native to Korea, this conifer has tidy, medium green foliage, and striking purple cones. Unusual yellow foliage is especially striking in winterĪ dwarf growing conifer with a low-spreading form and light green foliage Long, bright-blue needles grow to lengths of 2 inches (5 cm) or more bark is smooth and silver-gray in colorĪbies concolor 'Piggelmee' is a truly superb dwarf fir with a tiny flat topped globe of silvery blue needles Low growing white fir with a columnar shapeĪbies concolor 'Candicans' is a large growing, upright, tree-form of white fir that is considered by many to be the bluest of all conifers. The lush needles are soft to the touch, typical of other balsam firs The distinctive blue foliage stands out in the landscape where this pyramidal tree commands attention. The needles are a nice green color, growing on strong shoots and are often recurvedĪ dense, dwarf selection of European silver fir with a tight, flat growth structure. The branches droop vertically, parallel to the stem. 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