All categories

3 years ago

Identify a quadrilateral that is not a parallelogram

Mathematics

2 answers:

sp2606 [1]3 years ago

7 0

Answer:

a square, rectangle,trapezoid

Step-by-step explanation:

Leona [35]3 years ago

6 0

Answer:

Trapezium

Step-by-step explanation:

This is a quadrilateral that has no equal sides so it is not a parallelogram. This quadrilateral has one pair of opposite sides parallel.

You might be interested in

The main show tank has a radius of 60 feet and forms a quarter sphere where the bottom of the pool is spherical and the top of t

svetlana [45]

The given radius is = 60 feet

The volume of the sphere is given by = $\frac{4}{3} \pi r^{3}$

So we will find the volume of the sphere using radius as 60 and pi as 3.14

Volume = $\frac{4}{3}*3.14*60*60*60$ = 902059.20 cubic feet

As quarter of anything is defined as its one-fourth part, so here the volume of the quarter of sphere can be calculated by finding one fourth of the calculated volume.

So volume of quarter sphere = $\frac{902059.20}{4}$

= 225514.80 cubic feet

And rounding this to nearest whole number we get 225515 cubic feet as the answer.

3 0

3 years ago

An account earns simple interest. (a) Find the interest earned. (b) Find the

Debora [2.8K]

Answer:

#a. $80

#b. $1680

Step-by-step explanation:

We are given;

Amount invested (principal) is $1600
Rate of interest is 5%
Time = 1 year

We are required to determine the amount of simple interest earned and the amount or balance in the account after 1 year.

#a. Interest earned

To calculate simple interest we use the formula;

I = (PRT) ÷ 100

Where, P is the principal, R is the rate, T is the time and I is the simple interest.

Therefore;

I = (1600 × 5 × 1) ÷ 100

= $80

Therefore, simple interest earned is $80

#b. Balance of the account (Amount accrued)

We are going to use the formula;

A = P + I , where A is the amount accrued, P is the principal and I is the simple interest earned.

Therefore;

Account balance = $1600 + $80

= $1680

Thus, the account balance after 1 year will be $1680

8 0

3 years ago

Two shapes with equal perimeter are pictured below.

Radda [10]

Answer:

Measure of CD = 17 units

Step-by-step explanation:

Perimeter of a polygon = Sum of measures of all sides of the polygon

Perimeter of the given rectangle = 2(length + width)

= 2[(x + 3) + (2x - 1)]

= 2(3x + 2) units

Perimeter of triangle EFG = EF + FG + GE

= (x - 7) + (4x - 8) + (3x + 1)

= (8x - 14)

= 2(4x - 7) units

Since, perimeters of both the figures are equal,

2(3x + 2) = 2(4x - 7)

3x + 2 = 4x - 7

4x - 3x = 7 + 2

x = 9

Measure of CD = (2x - 1)

= 2(9) - 1

= 17 units

6 0

3 years ago

Find the perimeter and the area of each shape. Give your answer as a completely simplified exact value in terms of π (no approxi

nydimaria [60]

Answer:

Circumference: 12π + 8 cm,

Area: 48 ( cm )^2

Step-by-step explanation:

This figure is composed of circles, squares, and semicircles. As you can see, the squares indicate that each semicircle should have ( 1 ) the same area, and ( 2 ) the same length ( circumference ). It would be easier to take the circumference of the figure first, as it is composed of arcs part of semicircles the same length.

Circumference of 1 semicircle = $\frac{1}{2}$ ( πd ) = $\frac{1}{2}$ π( 4 ) = 2π ( cm )

Circumference of Figure (composed of 6 semicircles + 2 sides of a square),

We know that 6 semicircles should be 6 $*$ 2π, and as the sides of a square are equal - if one side is 4 cm, the other 3 are 4 cm as well. Therefore the " 2 sides of a square " should be 2

Circumference of Figure = 6 $*$ 2π + 2 = 12π + 8 ( cm )

_____________

The area of this figure is our next target. As you can see, it is composed of 3 semicircles, and the area of 3 semicircles subtracted from the area of 3 squares. Therefore, let us calculate the area of 1 semicircle, and the area of 1 square first.

Area of 1 semicircle = 1/2π $r^2$ = 1/2π $(2)^2$ = 2π ( cm ),