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TEA [102]
2 years ago
5

Dominic is building a bench with a seat in the shape of a trapezoid. One base is 5 feet. The other base is 4 feet. The perpendic

ular distance between the bases is 2.5 feet. what is the area of the seat
Mathematics
1 answer:
Vlad [161]2 years ago
8 0
By definition, the formula for finding the area of a trapezoid is
 A = [(b1 + b2) x h] / 2
 Where,
 b1: Base 1
 b2: Base 2
 h: height, or distance between bases.
 Substituting we have:
 A = ((5 + 4) * (2.5)) / 2
 A = 11.25 feet ^ 2

 Answer: 
 the area of the seat is:
 A = 11.25 feet ^ 2
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Jill is shopping at a department store that is having a sale this week. The store has advertised 15% off certain merchandise. Ji
Phantasy [73]

Answer:

The simpler way is:

SP = 0.85*RP

Step-by-step explanation:

Suppose that we have a given amount A. and now we take a given percentage, X%, off.

The new amount will be:

New amount = A - (X%/100%)*A = A*(1 - X%/100%)

This is the general formula.

In this case, we know that the store has advertised 15% off, then we have X% = 15%

Then if:

SP = sales price

RP = regular price

We will have the equation:

SP = RP - (15%/100%)*RP = RP - 0.15*RP

This is what Jill found, but if we use the general equation above, we will find that:

SP = RP*(1 - 15%/100%) = RP*(1 - 0.15) = RP*0.85

So we just need to multiply the regular price by 0.85 to get the sales price.

6 0
3 years ago
Read 2 more answers
Quadrilateral ABDE is a rectangle. DE = 4 in. and BD = 6 in. If the rectangle is rotated about a line through CF, cylinder Y is
postnew [5]

Answer:

1 in. is the answer.

Step-by-step explanation:

Solution: A Rectangle ABDE in which DE=4 inches and BD= 6 inches

 There are two kinds of rotations

1. one along the Breadth, side having length 6 inches,i.e rotated along line GH,  Cylinder Z is created.

Radius of cylinder Z=6/2= 3 inches

2. Second along the Length, Side having length 4 inches,i.e rotated about a line CF, cylinder Y is created.

Radius of cylinder Y= 4/2= 2 inches

Difference in Radii= Radius of cylinder Z  -  Radius of cylinder Y

                              =  3 - 2= 1 inches

Diagram shown below of both the cases:

7 0
3 years ago
Read 2 more answers
Tickets to a movie cost $7.25 for adults and $5.50 for students a group of friends purchased 8 tickets for $52.75 how many adult
irina1246 [14]

Answer:

The number of adults tickets and student tickets purchased is 5 and 3.

Given that,

Tickets to a movie cost $7.25 for adults and $5.50 for students.

A group of friends purchased 8 tickets for $52.75.

Here we assume the no of adult tickets and no of student tickets be x and y.

Based on the above information, the calculation is as follows:

7.25x + 5.50y = 52.75 .............(i)

x + y = 8

x = 8 - y..................(2)

Now put the x value in the equation (1)

So,  

7.25(8-y) + 5.50y = 52.75

7.25 × 8 - 7.25y + 5.50y = 52.75

58 - 1.75y = 52.75

5.25 = 1.75y

y = 3

So,  

x = 8 - 3

= 5

Therefore we can conclude that the number of adults tickets and student tickets purchased is 5 and 3.

-Hope this helps<3

4 0
2 years ago
Question 5 Unsaved
kicyunya [14]

Its  {3, 3, 6, 7, 9}

because the difference in values of 6  and the other numbers are the same as difference between 5 and the other numbers in { 2, 2, 5, 6, 8}

8 0
3 years ago
Read 2 more answers
Convert -1 1/4 into a decimal
makkiz [27]

-1 1/4 as a decimal would be -1.25.

Since -1 is a whole number we would just write that as -1. 1/4 as a decimal is .25.


6 0
3 years ago
Read 2 more answers
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