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4vir4ik [10]
3 years ago
11

PLEASE ANSWER ASAP! Triangle ABC has side lengths 8 cm, 17 cm, and x cm. The side length of x is shorter than the longest side.

What does the value of x need to be in order for the triangle to be considered a right triangle?
A. 4 cm
B. 9 cm
C. 15 cm
D. 12 cm
Mathematics
1 answer:
Fofino [41]3 years ago
4 0
Answer: C. 15 cm
Explanation:
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Monica Ramirez works at the hospital as a nursing assistant. She works 15 hours per week and earns $8.50 per hour. What is Monic
jolli1 [7]

Answer:

C. She makes $127.50 a week

Step-by-step explanation:

Since we are looking for how much she makes every week, we need to multiply her number of hours by the pay. She makes 8.50 per hour and works 15 hours.

8.5x15=127.5

She makes $127.50 a week

5 0
3 years ago
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A 4-pound bag of sugar contains 454 one-teaspoon servings and costs $3.49. A batch of muffins uses 1/4 cup of sugar. How many ba
Mazyrski [523]
48/4 = 12 teaspoons per each batch

454/12 = 37.83 batches can be made

3.49/37.83 = 0.092$ per each batch
5 0
4 years ago
The function y = f (x) is graphed below. What is the average rate of change of the function f(x) on the interval - 1 ≤ x ≤ 3?
jonny [76]

Answer:

\displaystyle -2

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

<u>Algebra I</u>

  • Average Rate of Change: \displaystyle \frac{f(b) - f(a)}{b - a}

Step-by-step explanation:

<u>Step 1: Define</u>

Interval -1 ≤ x ≤ 3

a = -1, b = 3

f(a) = f(-1) = 4

f(b) = f(3) = -4

<u>Step 2: Find Average</u>

  1. Substitute in variables [ARC]:                     \displaystyle \frac{f(3) - f(-1)}{3 + 1}
  2. Substitute:                                                   \displaystyle \frac{-4 - 4}{3 + 1}
  3. [Fraction] Subtract/Add:                             \displaystyle \frac{-8}{4}
  4. [Fraction] Divide:                                        \displaystyle -2
4 0
3 years ago
If Seth traveled 1 mile in 57.1 seconds. About how fast does Seth travel in miles per hour?
irga5000 [103]

Answer: Seth is travelling at 63.047mi/hr

Step-by-step explanation: First convert 57.1 seconds to hours.

1 hour is equal to 3600s so multiply 57.1sec by 1hr/3600s to get 0.0158 hr

The formula for speed distance over time. v=d/t

v= 1mi/0.0158hr

v= 63.047mi/hr

8 0
4 years ago
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What is negative 6x squared take away 586 =84x take away 4
olchik [2.2K]

Answer:

This equation has no real roots

Step-by-step explanation:

We want to solve

- 6 {x}^{2}  - 586 = 84x - 4

We group all terms on the left:

- 6 {x}^{2}  - 84x - 586 + 4 = 0

- 6 {x}^{2}  - 84x - 582= 0

Divide through by -6

{x}^{2}  + 14x + 97 = 0

The discriminant is

{14}^{2}  - 4 \times 1 \times 97 =  - 192

This means the given equation has no real solution, since the discriminant is less than 0

6 0
3 years ago
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