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Ksju [112]
3 years ago
11

The length of one leg of an isosceles right triangle is 7 units. What is the length of the hypotenuse?

Mathematics
1 answer:
Westkost [7]3 years ago
5 0
Given that the hypotenuse of the isosceles right triangle
=
14
,
⇒
the length of each leg
=
14
√
2
=
7
√
2
Check :
(
7
√
2
)
2
+
(
7
√
2
)
2
=
196
=
14
2
(OK)
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3x+3(x+y)= 3x+3x+3y=6x+3y

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Kristin spent $120 on shirts. Dress shirts cost $40 and t-shirts cost $8. If she bought a total of 7 shirts, then how many of ea
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Answer:

The correct answer is: She bought 2 dress shirts and 5 t-shirts

Step-by-step explanation:

Let's marked dress shirts with x and t-shirts with y.

Now we will make equations to solve this problem:

x + y = 7  =>  y = 7 - x

40 x + 8 y = 120

When we replace y = (7 - x) in the previous equation we get:

40 x + 8 (7 -x) = 120  40 x + 56 - 8 x = 120  => 32 x = 120 - 56 =>

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3 years ago
The water level in a lake was monitored and was noted to have changed -2 1/3 inches in one year. The next year it was noted to h
Diano4ka-milaya [45]

Answer:

The total change in water level over the past 2 years is \displaystyle -4 \frac{1}{6}.

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Fractions

  • Proper and Improper

Numbers

  • Least Common Multiple (LCM)

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

Year 1 water change:  \displaystyle -2 \frac{1}{3}

Year 2 water change:  \displaystyle -1 \frac{5}{6}

<u>Step 2: Find Total Water Change</u>

  1. [Set up] Add yearly water changes:                                                                \displaystyle -2 \frac{1}{3} + -1 \frac{5}{6}
  2. [Fractions] Convert to improper:                                                                     \displaystyle \frac{-7}{3} - \frac{11}{6}
  3. [Fraction] Rewrite [LCM]:                                                                                  \displaystyle \frac{-14}{6} - \frac{11}{6}
  4. [Order of Operations] Subtract:                                                                       \displaystyle \frac{-25}{6}
  5. [Fraction] Convert to proper:                                                                           \displaystyle -4 \frac{1}{6}
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Answer: the answer is B

Step-by-step explanation:

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