Area Questions and Answers

Find the area of the triangle having the indicated angle and sides Round your answer to one decimal place C 78 15 a 12 b 24

Find the midpoint of points A 6 5 and B 2 4 graphically You may press submit or click the graph again to replot the midpoint Start gwer 10 9 8 7 6 5 3 2 1 10 9 8 7 6 5 3 1 1 1 2 3 4 5 6 7 8 9 10

a in sin b Cos SC NO c tan d cot 1 h e sec f csc g 2 sin cos 2 costan 24 0 7

The figure shows eight congruent triangles made by dividing a square that has an area of 64 cm What is the area of ABH B A O A 20 cm OB 16 cm O C 8 cm O D 6 cm OE 4 cm D H E F G

Find the exact values of sin u 2 cos u 2 and tan u 2 using the half angle formulas 3 4 3 2 U 2 tan u sin u 2 cos u 2 tan u 2

Given TU XW Prove XW 8 X 14 XW 4 7 XW 56 XW 8 Which step is missing O A O B O C O D W 7 Statements Reasons TU XW given ZUTV ZXWV alternate angles theorem ZTVU ZWVX vertical angles theorem ATVU AWVX AA U substitution property of equality cross product division property of equality Statement Statement VW Statement Statement 4 UV h Reason Corresponding sides of similar triangles are proportio Reason Corresponding sides of similar triangles are proportio Reason Corresponding sides of similar triangles are proportion Reason Corresponding sides of similar triangles are proportion

rmine the rate of seepage in cubic feet sec under the dam by drawing flow net to scale ON THE DRAWING and also determine the total uplift force in psf acting at the bottom of the dam at Point B per unit length of dam The permeability of the silty sand is 5 X 10 3 ft sec The drawing is to scale K h 30 f H 40 ft A 5 ft SA 4 601 30 K 5 x 10 3 ft sec Impermeable sand 4 12

Question Answer Angst of s Watch Video From the observation deck of a skyscraper Bentley measures a 48 angle of depression to a ship in the harbor below If the observation deck is 969 feet high what is the horizontal distance from the base of the skyscraper out to the ship Round your answer to the nearest tenth of a foot if necessary Submit Answer Show Examples G

Given a stained glass window with 1 29 inches and d portion of the window Note Not to scale Area 1 d 85 1 d square inches 55 inches find the area of the stained glasse

Use the traditional method to test the given hypothesis At the a 0 05 significance level test the claim that a population has a standard deviation of 20 3 A random sample of 18 people yields a standard deviation of 27 1 O There is not sufficient evidence to warrant rejection of the claim that the standard deviation of the population is equal to 20 3 O There is sufficient evidence equal to 20 3 support claim that the standard deviation of the population is O There is sufficient evidence to warrant rejection of the claim that the standard deviation of the population is equal to 20 3 O There is not sufficient evidence to support the claim that the standard deviation of the population is equal to 30 3

3 Points A 5 3 and B 7 6 lie on AB Points C 7 6 and D 1 10 lie on CD Which statement is true a AB CD b AB 1 CD C AB CD are the same line d AB CD intersect but are not perpendicular Using the same information from the problem above which statement is true about the length of the segments a AB CD b AB CD c AB CD d Not enough information is given

The use of the set of axes below is optional 24 16 Line n is represented by the equation 3x 4y 20 Determine and state the equation of line p the image of line n after a dilation of scale factor 3 centered at the point 4 2 Explain your answer The use of the set of axes below is optional

HW8 3 Centroid of a Composite Area Consider the composite area shown below all dimensions in mm Determine the coordinates of the centroid relative to the x y axes shown 18 10 0 9 0 9 74 11 0 7 31636207570 10 0 11 0 8 0 mm X 0

15 One litre of latex paint covers approximately 8 5 m and costs 12 a Copy and complete this table Volume of Paint p L Cost c 0 24 Area Covered A m 0 17 0 2468 b Graph the area covered as a function of the volume of paint c Graph the area covered as a function of the cost d Write the domain and range of the functions in parts b and c

Find the slope of the curve below at the given points Sketch the curve along with its tangent lines at these points R r 9 9 cos 0 0 2 T The slope at the point 0 2 Simplify your answer is www

A right circular cone has a radius of 2x 4 and a height 5 units less than its radius Express the volume of the cone as a polynomial function The volume of a cone is Vr h for radius r and height h Enter as pi help formulas V x

A rectangle has a length of 12 units and a width of 6 units Squares of x by x units are cut out of each corner and then the sides are folded up to create an open box Express the volume of the box as a polynomial function in terms of x f x help formulas

In ANOP T is the centroid If TQ 6 find PT O Q N R T S P

Answer Attempt 1 out of 5 Equilateral O Isosceles Acute Scalene Acute D Isosceles Right 43 4 6 7 85 102 C 5 49 35 B Isosceles Obtuse O Scalene Obtuse O Scalene Right S

What type of reasoning is used in the story below Is it poor or strong logic Why Dan noticed that each of the four times he ate a hamburger and shake at the Fast Food Emporium he got a poor grade on a Spanish test that day He conjectures that he should eat only Mexican food on the day of a Spanish test

U What is the value of x 3 B 5 12 T S 3x 20 cm

16 What is the one remaining type of transformation that is not on this test page Is that remaining type of transformation rigid or non rigid

1 ABC geninde m B 60 AC 12 3 cm ise genin evrel emberinin yar ap ka cm dir A 12 3 bin B 9 3 A C 6 3 106 D 12 Q E 9 ossa Me OA

Find all solutions of the given equation Enter your answers as a comma separated list Let k be any integer Round terms to two decimal places where appropria 3 sec 0 4 0 8 x n 6 2 rad

Solve the given equation Enter your answers as a comma separated list Let k be any integer Round terms to three decimal places where appropriate If there is no solution enter NO SOB 5 tan 0 sin 0 4 tan 0 0 0

The measures of the angles of a triangle are shown in the figure below Solve for x 5x 6 106 43

Find all solutions of the given equation Enter your answers as a comma separated list Let k be any integer Round terms to two decimal places where appropriate 5 sin 0 1 0 0 rad

October 20 A 3 2 7 9 S A un m N 6 5 4 3 2 1 1 2 45 B 5 6 3 4 5 6 7 8 9 10 11 12 13 14 15 P 0 2 4 4 C 13 2 D 5 2

Fill in the blank to correctly complete the If a function f has an inverse then the graph off may be obtained by reflecting the graph of f across the line with the equation Type an equation

A telephone line hangs between two poles 14 m apart in the shape of the catenary y 22 cosh 7 5 0 0 0 7 x 2 17 where x and y are measured in meters 22 a Find the slope of this curve where it meets the right hand pole Round your answer to four decimal places b Find the angle 8 in degrees between the line and the pole Round your answer to two decimal places 8

angle me Jane and Opal s straw designs knowing that the lines created by the straws in their designs were parallel 70 Jane s straw design 135 140 xo to 70 Opal s straw design Find all of the labeled angle measurements knowing that the lines created by the straws are parallel Explain the reasoning for your results

a Find the domain of f The domain of f is 0 00 Type your answer in interval notation b Choose the correct graph of f A Ay B O C Q O D

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as o tas tion b u

Simplify the trigonometric expression 5 sin t 6 tan t tan t

4 Do the shapes below have rotational symmetry Why or why not If so by how many degrees

X PY H W BALD Transformations mation given Graph the image of the figure using the transformation given 1 translation 2 units left and 7 units up X nosalamati Name Seda aliny Stmonlean 2 dilation of 2 5 F hodnotbal songs lemey Batkitar T Include Vector Rules X Rule M 2 5x2 5y

39 Sey eller Hint Okyanusu ndaki 115 ten fazla ada zerinde kurulu bir lkedir Sey eller bayra yapmak i in a a daki dikd rtgenin k sa ve uzun kenarlar n n zerine e it aral klarla iki er nokta i aretleniyor Bu noktalar dikd rtgeni 5 alana b lecek bi imde A k esiyle birle tiriliyor ve a a daki gibi boyan yor E A 15 C C 6 3 37 AB 3 37 birim AC 15 birim oldu una g re CE ka birimdir A 2 B 4 B D 6 5 E 9

Determine the perimeter of given figure on th coordinate plane Round your answer to the nearest hundredth if necessary Figure ABCDEF A YA F 86 4 2 B 8 0 O 8 6 4 22 LE 6 8 C 2 4 6 8 D AX

X W 35 Z 4x 7

Measure and record the slopes of these line segments in the original logo Then set n 0 5 and n 2 and record the slopes of the corresponding line segments in each resulting image BIUX X 14pt E V AVA Line Segment Original Slope Slope After Dilation n 0 5 LK GB AH n 2 Space used includes formatting 1008 15000

A scale drawing of a rectangular park is 8 inches long and 5 inches wide The rectangular park is 320 feet long in real life 8 inches inches Scale drawing 320 feet Real life park Question What is the area of the rectangular park in real life What is the area of the rectangular park in real life What are the units of your answer I Skip Question Scratch Paper Optional To Use Functions 7 Previous Question 1 8 LO 2 AC 9 6 3 X I

Solve for the value of v 50 v 7

6 ft 14 ft 14 ft 14

Find the total surface area of the composite figure 7 4 ft 14 ft 8 ft 12 ft 8 ft

7 660 9 260 Find the reference angle create a triangle and find all angles of the triangle 10 11 12 215 8 105 100 13 340 690

Consider the function y 2 arcsin x a Use a graphing utility to complete the table Round your answers to four decimal places 1 0 8 0 6 0 4 X Y X Y 0 0 2 0 4 0 6 b Plot the points from the table in part a and graph the function Do not use a graphing utility 2 0 2 0 8 1

The tallest television transmitting tower in the world is in North Dakota and it is 2059 feet tall If you are on level ground exactly 5280 feet one mile from the base of the tower what is your angle of elevation looking up at the top of the tower Give your answer in degrees Oa 68 7 Ob 23 0 Od 68 1 Od 21 3

31 32 33 Find the coordinates to endpoint P given the coordinates 11 10 for endpoint Y and given the coordinates 3 9 for the midpoint 030 AS Name a physical object in the world around us that represents concentric circles Solve for the measure of angle A below A x 44 55

f x 4x 8x Does the parabola defined by f open upward or downward Downward Upward Determine the vertex in x y form of the parabola defined by f Determine the y intercept in x y form of the parabola defined by f Determine the x intercept s in x y form of the parabola defined by f If multiple x intercepts exist enter the solutions using a comma separated list If no x intercepts exist enter DNE Determine the axis of symmetry of the parabola defined by f