# A trapezoid ABCD is formed by adding the isosceles right triangle BCE math homework help

A trapezoid ABCD is formed by adding the isosceles right triangle BCE with base 5 inches to the rectanqh

ABED where DE Is t Inches. What Is the area of the trapezoid In square Inches?

Pick one of the choices

5t+ 12.5

5t + 25

2.5t + 12.5

(t + 5)2

t2+25

A car travels 75% of the way from town A to town B by travelling for T hours at an average speed of V mph.

The car travels at an average speed of S mph for the remaining part of the trip. Which of the following

expressions represents the time the car travelled at S mph?

Pick one of the thoIct

VT/S

VS/4T

4VT/3S

3S/VT

VT/3S

If x/y = 3/z then 9y2 equals

Pick one of the choices

x2/9

x3z

x2z2

3×2

(1/9)x2z2

The operation * applied to a number gives as its result 10 subtracted from twice the number. What is * (*9)?

Pick one of the choices

6

8

9

36

You are to compare the two quantities and choose correct option…. A, B, C or D

Choose A if the quantity in Column A is greater.

Choose B if the quantity in Column B is greater

Choose C if the two quantities are equal

Choose D if the relationship cannot be determined from the information given

Information Column A Column B

x>o 10/x 10/x

Pick one of the choices

Column A is greater

Column B is greater

Column A and B are equal

Relationship cannot be determined from the information given

You are to compare the two quantities and choose correct option…. A, B, C or D

Choose A if the quantity in Column A is greater.

Choose B if the quantity in Column B is greater

Choose C if the two quantities are equal

Choose D if the relationship cannot be determined from the information given

Information Column A Column B

compare-> 197+398+586 203+405+607

Pick one of the choices

Column A is greater

Column B is greater

Column A and B are equal

Relationship cannot be determined from the information given

two white O O inside big black o

What is the area of the shaded region? The radius of the outer circle is a and the radius of each of the circles inside the larger

circle is a/3

Pickone of the choices

0

(1/3)na2

(2/3)na2

(7/9)na2

(8/9)na2

It x2 — y2 =15, and x + y =3 then x — y is

Pick one of the choices

-3

0

3

5

Cannot be determined

The ratio of the chickens to pigs to horses on a farm can be expressed as the triple ratIo 20:4:6 If there are

120 chickens on the farm, then the number of horses on the farm Is

Pickone of the

4

6

24

36

60

A cylinder of radius 5 mm

and height 11 mm

(volume of a cylinder is pie-r2h)

A sphere of radius 6mm

(volume of a sphere is 4/3 pie r3)

A cube with edge 9mm

(volume of a cube is e3)

Which of the following solids has the largest volume? (figures are not drawn to scale)

Pickone of the choices

I

II

III

I &II

ii & iii

A pension fund has a total of $1 million invested in stock of the ABC company and the bonds of the DEE

Corporation. The ABC stocks yields 12% in cash each year, and the DEE bonds pay 10% in cash each year.

The pension fund received a total of $115,000 in cash from ABC stock and the DEE bonds last year. How much

money was invested in ABC stock?

Pickone of the choices

$750,000

$600,000

$500,000

$333,333.33

$250,000

36 identical chairs must be arranged in rows with the same number of chairs in each row. Each row must

contain at least three chairs and there must be at least three rows. The row is parallel to the front of the

room. How many different arrangements are possible?

Pick one of the choices

2

4

5

6

10

ABCD is a rectangle. The length of BE is 4 and the length of EC is 6. The area of the triangle BEA plus the

area of the triangle DCE minus the area of the triangle AFO is

Pick one of the choices

0

0.4 of the area of the triangle AEB

0.5 of the area of the triangle AED

0.5 of the area of ABCD

cannot be determined

In a group of people solicited by a charity, 30% contributed $40 each, 45% contributed $10 each and the

rest contributed $12 each. What is the percentage of the total contributed came from the people who gave

$40?

Pick one of the choices

0 25%

030%

040%

0 45%

0 50%