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Margarita [4]
3 years ago
10

An isosceles trapezoid has a perimeter of 49 miles. Its shorter base measures 12 miles and its longer base measures 23 miles. Th

e two remaining sides have the same length; what is that length?
Mathematics
1 answer:
andrezito [222]3 years ago
4 0

The perimeter is 49 miles, which means that all the sides added up must equal 49. Let's write and equation with the information given, where x is the magnitude of the two sides:

23+12+2x=49

Simplify this a little bit to get x on one side:

35+2x=49

2x=14

Divide by 2 on both sides, and your answer is:

x = 7

Therefore, the length of the two sides of the trapezoid are both 7 miles.

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A person incurs 5% loss by selling a laptop for $1140.At what price should the laptop be sold at to earn 5% profit​
djyliett [7]

Answer:

$1256.85

Step-by-step explanation:

1140 (1.05) = $1197 cost

$1197* 1.05 = 5% profit

4 0
3 years ago
The ratio of pencils to erasers is 4:1 if there are 20 pencils how many erasers are there? Kerion has a beaded necklace business
Misha Larkins [42]

Answer:

we express the ratio of pencil to eraser and multiply it by the number of the number of pencils and erasers. 4/5 * x=20 , so x=25, then it implies that there are 5 erasers.

7 0
3 years ago
Three times each day, a quality engineer samples a component from a recently manufactured batch and tests it. Each part is class
Tresset [83]

Answer:

Step-by-step explanation:

Hello!

Three samples of components manufactured are taken per day. They are classified as:

D: "Conforming (suitable for its use)"

E: "Downgraded (unsuitable for the intended purpose but usable for another purpose)"

F: "Scrap (not usable)"

This classification includes the three events that may occur in your sample space S. The experiment consists in recording the categories of the three parts tested in a day.

a. List the 27 outcomes in the sample space.

The possible outcomes in the space sample are the combinations of the three events. To avoid using the same letters as in the following questions I've named the evets as D, E, and F

S={DDD, DED, DFD, DEF, DFE, DEE, DFF, DDE, DDF , EDE, EEE, EFE, EED, EEF, EDF, EFD, EDD, EFF , FDF, FEF, FFF, FFE, FFD, FDE, FED, FDD, FEE}

b. Let A be the event that all the parts fall into the same category. List the outcomes in A.

A: "All the parts fall into the same category"

You have three possible outcomes for this event, that the three compounds are conforming, "DDD", that the three are unconforming, "EEE", or that the three compounds are scrap, "FFF". There are only three possible outcomes for this event.

S={DDD, EEE, FFF}

c. Let B be the event that there is one part in each category. List the outcomes in B.

B: "There is a part in each category"

This means, for example, The first one is conforming "D", the second one is unconforming "E" and the third one is scrap "F", then the first one may be unconforming "E", the second one is conforming "D" and the thirds one is scrap "F", and so on, you have 6 possible outcomes for this event:

S={DEF, DFE, EDF, EFD, FDE, FED}

d. Let C be the event that at least two parts are conforming. List the outcomes in C.

C: "At least two parts are conforming"

For this event, you can have two of the compounds to be considered conforming or the three of them.

S={DDD, DED, DFD, DDE, DDF , EDD, FDD}

A total of 7 combinations fit this event.

I hope you have a SUPER day!

6 0
3 years ago
Solve using perfect square factoring patterns. y2 + 14y + 49 = 0
Studentka2010 [4]
(y + 7)(y + 7)

49 is a perfect square of 7

it can also be written

(y + 7)²

hope this helps :)


7 0
2 years ago
Britney is buying a shirt and a hat at the mall. The shirt costs $30.50, and the hat costs $19.75. If Britney gives the sales cl
Svetlanka [38]
Answer: A. 49.75
Explanation:
Add 30.50 and 19.75 to get 50.25
Subtract 100-50.25 to get 49.74
Hope it helped!
6 0
2 years ago
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