Area Questions and Answers

Complete the paragraph proof of the Third Angles Theorem Then write a two column proof Given ZA ZD ZB LE Prove C LF A C 2 E by the definition of congruent angles and then Because ZA ZD and LB LE m A m B m2C 180 and mZD m E mZF 180 by the by the Transitive Property of Equality Using the Substitution Property of Equality twice m A m2B m C mZA m B mZF By the m C m F and ZC ZF by the definition of congruent angles

Z 7 What type of quadrilateral is this figure 8 Find x y and angle z X Z degrees

Rotate the axes so that the new equation contains no xy term Graph the new equation 24xy 7y2 36 0 O 59 19 10

H D F A 8 K 7 B ABCDEFGH is a cube What is the length of HK A 17 B 514 C 5 21 D 5 22

Step 5 Using the z score table based on your data how much screen time would fall into the top 5 Include the work to justify your answer How much would fall into the bottom 5 Include the work to justify your answer

Find the simplified difference quotient for the given function 14 2 f x Find the expression for f x h f x h Do not simplify

The diameter of a planet is about 21 130 mi The diameter of the planet s moon is about 26 of the diameter of the planet What percent of the volume of th the volume of its moon The volume of the planet s moon is of the volume of its planet Round to the nearest whole number as needed

35 mm ver eck 18 mm the volume of the triangular prism to the nearest tenth 41 19 cm 18 cm ct one a 2220 7 cm D 6390 8 cm C 3195 4 cm

S ft nswer Check and the volume of the composite figure to the nearest whole number 6 cm 18 cm 10 ft 6 cm 3 cm 12 cm 8 cm

K What is the volume of the square pyramid v cm Round to the nearest tenth as needed 9 cm 9c

10 5 cm Answer Check 12 cm 8 cm Find the volume of the rectangular prism 7 6 m 6 m 10 m

Find the surface area of the pyramid to the nearest whole number 5m Select one 10 m a 137 square meters b 125 square meters 128 square meters d 123 square meters C

A jewelry store buys small boxes in which to wrap items they sell The diagram below shows one of the boxes Find the lateral area and the surface area of the box to the nearest whole number 1 66 cm 14 cm Not drawn to scale Select one a 70 cm 266 cm b 35 cm2 266 cm c 35 cm2 364 cm d 70 cm2 364 cm 7 cm

Allison is planning to cover the lateral surface of a large cylindrical garbage can with decorative fabric for a theme party The can has a diameter of 3 feet and a height of 3 5 feet How much fabric does she need Round the the nearest square foot Select one a 33 ft b 123 ft c 61 ft d 66 ft2

Step 4 Using this data and the z score table what percent of young people spend over 10 hours a day looking at their phone Include the work to justify your answer

A cylindrical can of cocoa has the dimensions shown at the right What is the approximate area available for the label The approximate area available for the label is Round to the nearest square inch as needed 8 in

Use a net to find the surface area of the prism The surface area of the prism is Simplify your answer om 13 cm 6 5 cm

problem 6 10 Express your answer in terms of pi and as a decimal rounded to the nearest tenth 6 3 yd 7 A circle with a radius of 5 feet 8 20 m 9 A circle with a diameter of 22 yards

Evaluate the line integral L x y dx x y dy over the given curves C where A C is the arc of the parabola y x2 from 0 0 to 2 4 3 C is the segment of the line y 2x from 0 x 2

Describe the cross section of the figure to the right Choose the correct answer below OA The cross section is a triangle OB The cross section is a rectangle OC The cross section is a line OD The cross section is a circle GEW

For the pair of similar figures find the ratio of the area of the first figure to the area of the sec Input answer as first second D 12 cm 9 cm Time left 0 58

Factor the trinomial below x2 5x 24 OA x 3 x 8 OB x 6 x 4 OC x 4 x 6 OD x 8 x 3

Find the area of the shaded region to the nearest tenth 6m 4m

What is the area of the figure below 12 ft C 4 5 ft 16 ft Select one a 40 5 ft b 63 ft c 81 ft d 126 ft

A patient is admitted to the hospital with severe burns covering their arms legs and chest The nurse needs to calculate the total surface area of the burns to determine the appropriate medication dosage If the patient s right arm is burned and measures 10 inches in length and 6 inches in circumference what is the total surface area of the burn in square inches

3 Answer Check Find the area of the shaded segment Round your answer to the nearest tenth 8 60

Find the area of the shaded segment of the circle The area of the shaded segment is cm Round to the nearest tenth as needed 12 cm 60 5

In a circle a 90 sector has area 225 in What is the radius of the circle The radius of the circle is in Simplify your answer

Find the measure of each arc in OB GHJ GJI 71 mZGBI Choose GHI HJI JHI HGJ B 151 GH H Choose Choose Choose Choose Choose Choose Choose Choose

Find the length of the darkened arc Leave you answer in terms of 20 m Select one a 10 in b 17 5 in c 35m in d 70m in 45

What is the area of the parallelogram 4 5 m 6m Select one a 126 m b 31 5 m c 63 m d 84 m What is the area of the figure below 10 8 in 14 m 10 in Select one Od 4 in 5 in I a 27 in 2 b 26 in c 52 in 2 54 in 2 3 in

widths of two similar rectangles are 21 ft and 18 ft What is the ratio of the perimeters Of the areas ct one a 7 6 and 64 49 b 8 7 and 49 36 c 7 6 and 49 36 d 8 7 and 64 49 neck trapezoids are similar The area of the smaller trapezoid is 709 m Find the area of the larger trapezoid he nearest whole number 27 m 39 m Not drawn to scale ect one a 11m 2 b 729 m c 1521 m

Find the value of x X Simplify your answer x 50 R 4x 20

The pair of figures to the right are similar The area of one figure is given Find the area of the other figure to the nearest whole number Area of larger triangle 115 ft The area of the smaller triangle is ft2 Round to the nearest whole number as needed 28 ft 12 ft 5

An equilateral triangle has a perimeter of 18 cm Find its area to the nearest tenth Answer Check

Answer Check Find the area of the regular hexagon with apothem a 2 6 ft and side s 3 ft Round your answer to the nearest tenth Answer Check to the nearest tenth Find the area of the regular polygon Round your answer to the nearest tenth 16 cm

Find the measures of the angles formed by a two consecutive radii and b a radius and a side of a regular decagon a The measure of the angle formed by two consecutive radii is

5 41 3 2 1 Amplitude Period 1 5 6 Based on the graph above determine the amplitude midline and period of the function Midline y 12 3 4

16 Type the correct answer in the box Use numerals instead of words The composite figure shown has a surface area of 844 square centimeters 12 cm x cm 18 cm 10 cm What is the height of the rectangular prism The height of the prism is centimeters

4 points Suppose we have the triangle with vertices P 1 2 1 Q 3 10 5 and R 5 6 3 Answer the following questions 1 Find a non zero vector orthogonal to the plane through the points P Q and R Answer 2 Find the area of the triangle APQR Area

What is the surface area of this rectangular pyramid 20 ft 18 ft 20 ft square feet

ctions below a Rewrite the decimal in the sentence below as a percentage The value had decreased to 0 067 of the purchase price b Rewrite the percentage in the sentence below as a decimal The photographer filled 30 of her memory card with animal pictures Percent Decimal

Fill in the blanks below a The population of a certain city decreased by 31 000 people Write a signed number to represent this population change 0 b The temperature was 57 degrees above 0 in Fahrenheit today Write a signed number to represent this temperature 0

Fill in the blanks Then choose the property of multiplication you used a Introduction to properties of multiplication c b x 4 x 8 3 x 4 d x1 7 6x0 0 2 x 8 8x x 8 Choose one Choose one Choose one Choose one 5 2

A heptagon is shown in the figure below xo The two missing angles are equal and labeled with x If the sum of all other interior angles is 675 what is the angle measure of x Round to the nearest hundredth For example if answer is x 49 5643 enter 49 56 Do not include x the degree sign in your answer

Given Square ABCD Prove AC BD D A

Find the area of the figure Sides meet at right angles 5 yd 4 yd 5 yd 9 yd 10 yd yd

Area of a piecewise rectangular figure Find the area of the figure Sides meet at right angles 4 m 3 m 4 m 7 m 7 m

Find the perimeter and area of the shaded figure below 1 unit 1 unit Perimeter units Area square units

Find the area and perimeter of the shaded figure below 1 unit 1 unit Area Perimeter square units