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zubka84 [21]
4 years ago
5

The length of the hypotenuse of a right triangle is 157 units. The length of one leg of the triangle is 132. Lara wrote the foll

owing step to find the length of the unknown leg:
Length of the unknown leg = 1572 − 1322 = 24,649 − 17,424 = 7,225 units

Which statement best explains whether Lara's step is correct or incorrect?

A.It is correct because the length of the unknown side is the difference of the lengths of the sides.
B.It is correct because the length of the unknown side is the difference of the squares of the sides.
C.It is incorrect because the length of the unknown side is the square root of 42,073.
D.It is incorrect because the length of the unknown side is the square root of 7,225.
Mathematics
1 answer:
olya-2409 [2.1K]4 years ago
3 0
To find the length of the 3rd side, you would use the pythagorean theorem
a^2 + b^2 = c^2
132^2 + b^2 = 157^2
17424 + b^2 = 24649
b^2 = 7225
b = square root of 7225

<span>D. It is incorrect because the length of the unknown side is the square root of 7,225.</span>
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Answer:

It would cost more to go to the zoo by $6

Step-by-step explanation:

The total amount that each attraction costs can be given by;

<em>Science center</em>

Total cost at the science center=cost per ticket×number of tickets

where;

Total cost at the science center=$36.75

Cost per ticket=c

Number of tickets=3 tickets

Substituting;

36.75=c×3

c=(36.75/3)=12.25 per ticket to go to the science ticket

For 12 students, total cost at the science center=(12.25×12)=$147

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Total cost at the zoo=cost per ticket×number of tickets

where;

Total cost at the zoo=$51

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Substituting;

51=d×4

d=(51/4)=12.75 per ticket to go to the zoo

For 12 students, total cost at the zoo=(12×12.75)=$153

Total zoo cost-Total science center cost=(153-147)=$6

It would cost more to go to the zoo by $6

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3 years ago
If triangle ABC=triangle DEC, and angle b=3x and angle e=6x-39, what is x
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