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damaskus [11]
3 years ago
9

Find the original price of a pair of shoes if the sale price is $78 after a 25 discount

Mathematics
1 answer:
pantera1 [17]3 years ago
4 0

$78 without tax multiplied by 1.25 or 25% is $97.5 sales tax makes them $107.25

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frutty [35]
The answer is B. by SAS
8 0
3 years ago
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A ladder is leaning against a building so that the distance from the ground to the top of the ladder is 3 feet
Thepotemich [5.8K]

Answer:

39 feet

Step-by-step explanation:

From the question;

let length of ladder =x feet

height of ladder will be=x-3 feet

ground distance of ladder bottom to building=15 feet

Applying Pythagorean relation

a²+b²=c²

where a=15 feet b=x-3 feet and c=x feet thus

x²-15²=(x-3)²

x²-225=x²-6x+9

collect like term

x²-x²-225-9=-6x

-234= -6x

x= 39 feet length of ladder

distance from ground to top of ladder= 39-3=36 feet

3 0
3 years ago
Surveyors wished to know the distance across a lake between A and B. They measured the distance from B to C as 100 m and the ang
kherson [118]

Answer:

<h3>AB ≈ 70m</h3>

Step-by-step explanation:

Check the attachment for the diagram.

You can see from the diagram that it is a right angled triangle with opposite side AB and adjacent side BC. Using SOH, CAH, TOA trig identity to get the length of AB. According to TOA;

tan 35° = opposite/adjacent

tan 35° = AB/BC

tan 35° = AB/100

AB = 100tan35°

AB = 100 * 0.7002

AB = 70.02m

Hence the distance across a lake between A and B is approximately 70m

5 0
3 years ago
Samiya bought a tree 3 inches long. Each year, the tree expected to grow 5 inches. How long (How many years) it takes the tree t
Ghella [55]

Answer: 19 years to reach 98 inches

Step-by-step explanation:

Its already 3 inches tall, if it grows 5 inches every year or expected to it would take : 3 + 5 = 8

8 + 5 = 13

13 + 5 = 18

18 + 5 = 23

23 + 5 = 28

28 + 5 = 33

33 + 5 = 38

38 + 5 = 43

43 + 5 = 48

48 + 5 = 53

And it goes on until 98 inches. Leaving your answer : 19 years.

4 0
3 years ago
Simplify the expressions<br> (a^2b^-3/a^-2b^2)^2
poizon [28]

Answer:

(\frac{a^{2}b^{-3}  }{a^{-2}b^{2}  })^{2}  = (a^{2-(-2) }b^{-3 - 2})^{2} \\ = (a^{4}b^{-5} )^{2}  = (a^{4})^{2} (b^{-5})^{2}  = a^{8}  b^{-10}

Here is for you.

Step-by-step explanation:

6 0
3 years ago
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