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Fantom [35]
3 years ago
13

Andre withdrew spending money from his checking account that initially had $982. What was the amount of his withdrawal, w, if hi

s ending balance was $922.
Mathematics
1 answer:
Angelina_Jolie [31]3 years ago
3 0

Answer:

$60.00

Step-by-step explanation:

you subtract the original number with the new number to see the difference.

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1. It costs $15.50 to buy 8 yards of material. How much
Levart [38]

Answer:

if you can split it in half its: $38.75

if you cant its: $46.50

Step-by-step explanation:

half:

1. 8+8+4=20

2. 15.50 divided by 2 = 7.75

3. 7.75 + 15.50 + 15.50 = 38.75

not half:

1. 8+8+8= 24

2. 15.50 times 3 = 46.50

8 0
3 years ago
Please help. How do you find cosine, sine, cosecant and secant with this triangle? ​
Veseljchak [2.6K]

Hi there! You have to remember these 6 basic Trigonometric Ratios which are:

  • sine (sin) = opposite/hypotenuse
  • cosine (cos) = adjacent/hypotenuse
  • tangent (tan) = opposite/adjacent
  • cosecant (cosec/csc) = hypotenuse/opposite
  • secant (sec) = hypotenuse/adjacent
  • cotangent (cot) = adjacent/opposite
  • cosecant is the reciprocal of sine
  • secant is the reciprocal of cosine
  • cotangent is the reciprocal of tangent

Back to the question. Assuming that the question asks you to find the cosine, sine, cosecant and secant of angle theta.

What we have now are:

  • Trigonometric Ratio
  • Adjacent = 12
  • Opposite = 10

Looks like we are missing the hypotenuse. Do you remember the Pythagorean Theorem? Recall it!

  • a²+b² = c²

Define that c-term is the hypotenuse. a-term and b-term can be defined as adjacent or opposite

Since we know the value of adjacent and opposite, we can use the formula to find the hypotenuse.

  • 10²+12² = c²
  • 100+144 = c²
  • 244 = c²

Thus, the hypotenuse is:

\large \boxed{c = 2 \sqrt{61} }

Now that we know all lengths of the triangle, we can find the ratio. Recall Trigonometric Ratio above! Therefore, the answers are:

  • cosine (cosθ) = adjacent/hypotenuse = 12/(2√61) = 6/√61 = <u>(6√61) / 61</u>
  • sine (sinθ) = opposite/hypotenuse = 10/(2√61) = 5/√61 = <u>(5√61) / 61</u>
  • cosecant (cscθ) is reciprocal of sine (sinθ). Hence, cscθ = (2√61/10) = <u>√61/5</u>
  • secant (secθ) is reciprocal of cosine (cosθ). Hence, secθ = (2√61)/12 = <u>√</u><u>61</u><u>/</u><u>6</u>

Questions can be asked through comment.

Furthermore, we can use Trigonometric Identity to find the hypotenuse instead of Pythagorean Theorem.

Hope this helps, and Happy Learning! :)

5 0
3 years ago
Rationalize the denominator and simplify
Llana [10]
The answer is number A
6 0
3 years ago
Gary is 3 years older than twice the age of His sister Elena which shows an equation for this situation
Lynna [10]

Answer: G = 2E + 3

<u>Step-by-step explanation:</u>

Let E represent Elena's age.

Then Gary(G) is two times Elena(E) plus 3 --> G = 2E + 3

8 0
3 years ago
Simplify -62 ÷ 12 - 2(-7).<br><br> -17<br> 35<br> -35<br> 11
galina1969 [7]
The answer is 53/6 in fraction form
3 0
3 years ago
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