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Ket [755]
3 years ago
11

Please help me (It's for a really important grade)

Mathematics
1 answer:
Sholpan [36]3 years ago
7 0

Answer:

4/5

Step-by-step explanation:

Sin = Opposite / Hypotenuse

Note that hypotenuse = longest side

We want to find sinФ

The opposite side length of angle "Ф" has a length of 8 and the longest side or hypotenuse has a length of 10

So sinФ would equal 8/10 which can be simplified to 4/5

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Solve the quadratic equation by completing the square x^2-2ax+b=0​
luda_lava [24]

Let a, ß be the roots of x² + 2ax + b =0.......[1]

⇒a + ß = -2a and aß = b

By hypothesis

la-ß | ≤ 2m

⇒ (a-ß)² ≤ 4m²

⇒ (a+ß)²-4aß < 4m²

⇒ 4a²-4b ≤ 4m²

⇒a² - b ≤ m²......(2)

And discriminant of (1) is >0

⇒4a²-4b> 0

⇒ b <a²...... (3)

From (2) and (3)

a² > b≥ (a² - m²)

b = [a² - m², a²)

8 0
3 years ago
Determine the common ratio and find the next three terms of the geometric sequence t8, t5, t2
attashe74 [19]
The common ratio of the given geometric sequence is the number that is multiplied to the first term in order to get the second term. Consequently, this is also the number multiplied to the second term to get the third term. This cycle goes on and on until a certain term is acquired. In this item, the common ratio r is,

    r = t⁵/t⁸ = t²/t⁵

The answer, r = t⁻³.

The next three terms are,

    n₄ = (t²)(t⁻³) = t⁻¹
    n₅ = (t⁻¹)(t⁻³) = t⁻⁴
    n₆ = (t⁻⁴)(t⁻³) = t⁻⁷

The answers for the next three terms are as reflected above as n₄, n₅, and n₆, respectively. 
3 0
4 years ago
Read 2 more answers
Jimmy owns a small engine repair business. The revenue, in dollars, can be modeled by the equation y = 420 + 72x, where x is the
kozerog [31]

Answer:

5 hours

Step-by-step explanation:

Given

y = 420 + 72x --- Revenue

y = 24x^2 + 180 --- Overhead cost

Required

Determine the hours for break even

To do this, we simply equate both expressions as follows:

24x^2 + 180 = 420 + 72x

Collect Like Terms

24x^2 - 72x + 180 - 420 = 0

24x^2 - 72x -240 = 0

Divide through 24

x^2 - 3x - 10 = 0

Expand:

x^2 -5x + 2x -10 = 0

Factorize:

x(x -5) + 2(x -5) = 0

(x + 2)(x -5) = 0

x + 2 = 0\ or\ x - 5 = 0

x = -2\ or\ x = 5

But x can't be negative because it represents time.

<em>So, x = 5 hours</em>

3 0
3 years ago
A spinner is divided into 15 identical sectors and labeled 1 through 15.
avanturin [10]
Sender would be 4 x 7 divided by 15
4 0
2 years ago
A bicycle store costs $2,400 per month to operate. The store pays an average of $60 per bike. The average selling price of each
Marysya12 [62]
Each bicycle gives a profit of around 60 dollars.

2400/60= 40

The store must sell around 40 bicycles every month.
3 0
3 years ago
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