Area Questions and Answers

A circle has a diameter of 14 inches What is the length of an arc formed by a 101 angle Hint Ratio of angle to arc length compared to ratio of angle of complete circle to total circumference distance 14 in 12 34 in 10 3 in 4000

What is the diameter to the nearest ruler fraction of a wire with an area of 2900 circular mils Hint Use the appropriate formula for a diameter of a wire with cross sectional area Then convert the decimal to a ruler fraction 3 64 5 64 2 32

A semi circular baggage compartment in an airplane is 38 long 15 wide and 7 5 high How many cubic feet of cargo will it hold 15 7 5 3 578 56 in 38

What is the area of the shaded section in the following geometric shape Hint Using the given measurements for the larger shape you can determine the base and height to use for the smaller shaded shape 3 5 in 3 in 4 10

4 4 points An airplane wing casts a shadow on the ramp that is 12 ft wide at one end 7 ft wide at the other and 33 ft long How many square ft of the ramp is covered by the shadow 12 33 5 ft 330 5 ft 712 562 33 k 7

4 points Which 3 D shaped fuel tank has more surface area SA a fuel tank shaped like a cube with side 10 or a fuel tank shaped like a sphere with diameter 10 The surface areas are equal The Sphere The Cube

A rectangular shaped tank measures 42 1 2 inches in length 18 inches in width and 6 1 8 inches in depth What is the total surface area of this tank Hint Calculate the area of each side and add together 2 271 125 in 2 271 125 in

The graph of y f x is shown below At which a value does the function have a removable discontinuity y 6 5 4 3 2 6 5 4 3 2 1 0 1 2 3 4 5 6 N 2 56x

Decide whether each of the following statements makes sense or is clearly true or does not make sense or is clearly false Explain your reasoning A piano has 88 keys so it must have a range of about 7 octaves Choose the correct answer below OCT OA The statement does not make sense because a 7 tone scale corresponds to both the white and the black keys on a modern piano OB The statement makes sense because a 5 tone scale corresponds to both the white and the black keys on a modern piano OC The statement t make sense because a 12 tone scale corresponds to both the white and the black keys on a modern piano OD The statement makes sense because a 12 tone scale corresponds to both the white and the black keys on a modern piano

6 The perimeter of rhombus ABCD above is 400 cm If AB x 50 determine the value of x A D E B C

5 3 Marks Parametrize the surface S S is the cap cut from the paraboloid x y z 64 by the cone z 4 2 and z 4 2

Point P is the centroid of triangle QRS If QP 14 cm what is the length of segment QT S 07 O 14 21 28 T U

If AB x 4 BC 2x 10 and AC 2x 1 then find the value for x A 07 11 O4 B C

Suppose that AHIJ is isosceles with base IJ Suppose also that m Z1 5x 3 and mZJ 3x 23 Find the degree measure of each angle in the triangle 5x H mZH m 21 m2J 0 0

to P 0 Q M N K If IN and OQ are parallel lines and mZQPM are parallel lines and mZQPM 56 what is mZLMP

5 A pet supply company is making different sized similarly shaped kennels The diagram shows the rectangular base of two similar kennels TFKW and HYDL where TFKW HYDL and 0 5 KW 20 ft YD 5 x KF 2x 3 ft K Y D LH WT L H F Part A Determine the distance between points Y and L Part B Determine the value of x Do not round W T N

43 Regular hexagon ABCDEF is inscribed in a circle with center H D C E H B F A a 1 point What is the image of segment BC after a 120 rotation about point H

The graph of gx y f x and g x f x is shown Sketch the graphs of 1 f x on the same grid Label the invariant point s and the x intercept s on your graph You do not need to determine the coordinates of these points

marks 2 An architect is designing an asymmetrical log house similar in design to the following image The architect wants the house to be 15 m wide and plans to use 12 m logs for each roof line The height of the wall on the left is 3 m The following diagram can be used to model this house 3 m A 12 m 15 m D 0 12 m FIRIN FOAME LIGN LIVERANC 7 Determine the angle at the peak of the roof nearest degree Hint Draw a line from point C to B B Make sure that your answer is rounded to the 8

B 1 point Find the area of this rectangle Side one 13 cm side two 20 cm 169 cm 2 260 cm 2 400 cm 2

1 1 point Find the volume Height 5 cm width 5 cm length 15 cm 375 cm 350 cm 3 375 cm 3 375 cm 2 length height width

20 1 point Find the area of the circle with a radius of 5 meters 15 707 m 2 78 5 m 2 78 54 cm 2 10 75 m 2 r

point Find the volume of the cylinder with a radius of 50 cm and a height of 50 cm radius height 392 699 08 ccm 1 233 700 55 ccm 7 853 98 ccm 157 08 ccm

FIND THE WORK REQUIRED TO PUMP THE FLUID WITH WEIGHT DESITY Ibs t3 OUT OF THE TANK BELOW UP Itt 6ft GROUND

See your levels A 2 cup bottle of lotion costs 41 76 What is the price per fluid ounce Submit

Write the expression as a decimal number 1 10 1 6 x 100 6 x 1 8 x Submit 6 x 1 1000

Find the area of AABC with a 14 inches b 9 inches and m C 42 Round your answer to the nearest tenth Enter the correct value in the box Show Hints 7 in 8 9

See your levels 4 Maura wants to build a concrete patio that will be 7 yards by 13 yards It will cost 6 00 per square yard to build What will be the total cost of the patio Submit I don

4 Quinn sold 3 of her old softball mitts at Mickey s Secondhand Thrift Mart and received the same amount of cash for each Before she left she spent 23 of her earnings on a used batting helmet She had 7 remaining What was the value of each softball mitt

Select ALL the parallel lines 00000 110 120 INT 120 59 BCDG BC g 12 1 point Given that L M and x 25 what would the value of g be in the given diagram 4x 15 120 M G

A square measures 3ft. on a side. Calculate its perimeter.

A 2 Mbps link connects point A and point B and the users communicating independently between these two points require a rate of 200 kbps. Moreover, users only generate traffic during 10% of the time. What is the maximum number of users that the link can service provided that users should be able to establish a connection at least 99.96% of the time?

Find the area and perimeter of a rectangle with length of (6x - 10) and a width of (4x + 3). Area = 13x^2 + 15x - 30, Perimeter = 6x - 10 Area = 2x - 30, Perimeter = 20x - 14 Area = 24x^2 - 22x - 30, Perimeter = 20x -14 Area = 13x^2 + 15x - 30, Perimeter = 2x - 30

Ade is creating a website for a pizza company that has a large rectangular logo on its building. The logo measures 14 meters by 48 meters. She wants to outline a space on her webpage that is proportional in size to the company's logo. Ade will use a scale of 1: 200 to make the logo image for the website. What should the dimensions of the website logo be, in centimeters?

What is the best approximation of the volume, in cubic units, of a pyramid of height 4 and a square base of length 6? 24 48 32 144

A brand of jeans comes in nine different washes, five different fit styles, and three different height options. How many ways can someone order a single pair of jeans? 95 17 120 135

A cone is made from 1/4 of a circle with radius 24 inches. Use * 3.14 and Round to the nearest whole number! The surface area of the cone is______square inches The volume of the cone is ______.cubic inches. Round the height to the nearest whole number before calculating.

The volumes of two similar solids are 729 cubic meters and 2197 cubic meters. What is the ratio of their areas?

Given the reaction of an acid and a base to produce salt and water: H₂SO4 + Mg(OH)2 → MgSO4 + 2H₂O The type of reaction represented is: a neutralization reaction a single replacement reaction a decomposition reaction a combustion reaction

Find the perimeter and area of a square with a 12 ft. side.

Find the circumference and area of a circle with diameter 6 inches. Use 3.14 for T.

On average, a textbook author makes 2 word-processing errors per page on the first draft of her textbook. (a) What is the probability that on the next page she will make 3 or more errors? (b) What is the probability that a randomly selected page is error free? Click here to view the table of Poisson probability sums. (a) The probability that a page has at least 3 errors is_ (Round to four decimal places as needed.)

Let s be a secant of a circle C, i.e. a segment with endpoints on the circle. If we trace the tangents at the endpoints, they intersect at a point which is the polar of s. Prove that three secants are concurrent iff their polar points are colinear.

Given the quadratic equation y=x² +8x+12, find the intercepts and the vertex, and sketch the graph of this parabola:

At a restaurant, the bill comes to $50. If you decide to leave a 17% tip, how much is the tip? Round your answer t the nearest cent. A 17% tip on a $50 bill is $ __

Convex quadrilateral ABCD has AB = 6, BC = 7, CD= 9, and DA 5. The area of quadrilatearl of ABCD is 30. Determine the exact value of cos(∠DAB - ∠BCD).

Two square pyramids have the same volume. For the first pyramid, the side length of the base is 20 in. and the height is 21 in. The second pyramid has a height of 84 in. What is the side length of the base of the second pyramid? 42 in. 28 in. 10 in. 21 in.

Find the lateral area of a regular pentagonal pyramid that has a slant height of 14 in. and a base side length of 6 in. 240 in2 210 in2 42 in2 420 in2

Find the surface area of the cylinder in terms of π. 504π cm2 333π cm2 382.5π cm2 211.5π cm2

The radius of the base of a cylinder is 38 mm and its height is 51 mm. Find the surface area of the cylinder in terms of π. 6853π mm2 6764π mm2 6726π mm2 6713π mm²