The two bases of a trapezoid are 3 and 11 and the altitude is 8. What is the area of the trapezoid? A. 56
B. 112
C. 64
D. 96

Answers

Answer 1
Answer:

The area of the given trapezoid is 56 sq.units.

What is a trapezoid?

A quadrilateral with at least one pair of parallel sides is called a trapezoid.

Given that, the two bases of a trapezoid are 3 and 11 and the altitude is 8

Area of a trapezoid = (sum of the two bases) / 2 × height

= (3+11) / 2 × 8

= 14 / 2 × 8

= 7 × 8

= 56

Hence, the area of the given trapezoid is 56 sq.units.

For more references on trapezoid, click;

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Answer 2
Answer:

a+b/2×h

3+11/2×8

14/2×8

7×8= 56 which is :A


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Solve the equation step by step. List each step, along with the property you used during that step. -5 x 1 X 11 X 4

Answers

You can do any problem first because they will all come out to be the same answer. The property that I am going to be using for all of them is commutative property of multiplication. -5*1=-5 is the first step you could do. -5*4=-20, it doesn't matter is you skip a number or not it will be okay. -20*11=-220. You can start with any one and the answer will still be -220.

What are the coordinates of the point on the directed line segment from (−7,−5) to (8,−10) that partitions the segment into a ratio of 3 to 2?

Answers

let's say P(−7,−5) and  Q(8,−10) gets partitioned on a 3 : 2 ratio from P to Q by point R, so

\textit{internal division of a line segment using ratios} \n\n\n P(-7,-5)\qquad Q(8,-10)\qquad \qquad \stackrel{\textit{ratio from P to Q}}{3:2} \n\n\n \cfrac{P\underline{R}}{\underline{R} Q} = \cfrac{3}{2}\implies \cfrac{P}{Q} = \cfrac{3}{2}\implies 2P=3Q\implies 2(-7,-5)=3(8,-10)

(\stackrel{x}{-14}~~,~~ \stackrel{y}{-10})=(\stackrel{x}{24}~~,~~ \stackrel{y}{-30}) \implies R=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{-14 +24}}{3+2}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{-10 -30}}{3+2} \right)} \n\n\n R=\left( \cfrac{ 10 }{ 5 }~~,~~\cfrac{ -40}{ 5 } \right)\implies R=(2~~,~-8)

How many hours would someone who earns $7.50 per hour have to work to earn $116.25?

Answers

If you would like to know how many hours would someone have to work to earn $116.25, you can calculate this using the following steps:

$7.50 per hour
$116.25 / $7.50 = 116.25 / 7.50 = 15.5 hours

The correct result would be 15.5 hours.
$116.25* (1 hour/ $7.50)= 15.5 hours.
(Note that the unit- $- cancels out so you get the answer)

The final answer is 15.5 hours.

What is the value of 8P4?

Answers

8P4 is a permutation;

P(n,r) ; nPr = n!/(n-r)!

8P4 = 8!/(8-4)! = 40,320 / 4! = 40,320 / 24 = 1,680

The value of 8P4 is 1,680

Suppose P is between M and N. If MN = 10, MP = x-3, and PN = x+1, what is the value of x?

Answers

MN = MP + PN

10 = (x - 3) + (x + 1)

10 = x + x - 3 + 1

10 = 2x - 2                        (add 2 to each side)

12 = 2x                             (divide 2 from each side)

12/2 = x

6 = x
answer




How many minutes in a day

Answers

If an hour has 60 minutes and a day has 24 hours , there are 60 times 24 in a day

60*24 = 1440


There are 1440 minutes in a day !


I hope that's help !