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worty [1.4K]
3 years ago
15

Andy sold 312 inGirl Scout cookies. If each box is 4 how many boxes did Andy sail

Mathematics
1 answer:
brilliants [131]3 years ago
8 0

He sold 78 boxes because there are a total of 312 Girl Scout cookies and each box had 4 and so you divide 312/4 and you get 78 boxes.

Given:

Each box has 4 cookies.

312 Girl Scout cookies in total.


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Kyle spend 1/5 of his money on clothing. He had 120 remaining. What was the cost of the clothes Kyle bought
svet-max [94.6K]
Hi! Kyle had 4/5 of him money remaining which is $ 120 so the total amount of money he had was $150. So the cost of the clothes was $30
6 0
3 years ago
3200 dollars is placed in an account with an annual interest rate of 6.5%. To the nearest year, how long will it take for the ac
madam [21]

4 yrs

Step-by-step explanation:

Formulae for simple interest is;

A= P (1 + rt)                Whereby;

   A = Total Accrued Amount (principal + interest)

   P = Principal Amount

   I = Interest Amount

   r = Rate of Interest per year in decimal; r = R/100

   R = Rate of Interest per year as a percent; R = r * 100

   t = Time Period involved in months or years

15300 = 3200 (1 + 106.5/100 *t)

15300/3200 = 1 + 1.065t

4.78125 – 1 = 1.065t

3.78125 = 1.065t

3.78125/1.065 = t

3.55 = t

Rounded off to the nearest whole number;

= 4

5 0
3 years ago
Simplify and reduce to the lowest terms.<br> <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B-7%7D%7B12%7D%20" id="TexFormula1" t
Paladinen [302]
When you divide two fractions, you're actually multiplying one of them by the reciprocal of the other. First, find the reciprocal of the second fraction by flipping it upside down. Then, multiply it by the first fraction. (Numerator x numerator and denominator x denominator)

\frac{-7}{12} ÷ \frac{2}{3}   Replace the second fraction with it's reciprocal
\frac{-7}{12} x \frac{3}{2}   Multiply (-7 x 3 and 12 x 2)
\frac{-21}{24} Both 21 and 24 are divisible by three, so divide them by 3
\frac{-7}{8}
6 0
3 years ago
1. Derive the half-angle formulas from the double
lilavasa [31]

1) cos (θ / 2) = √[(1 + cos θ) / 2], sin (θ / 2) = √[(1 - cos θ) / 2], tan (θ / 2) = √[(1 - cos θ) / (1 + cos θ)]

2) (x, y) → (r · cos θ, r · sin θ), where r = √(x² + y²).

3) The point (x, y) = (2, 3) is equivalent to the point (r, θ) = (√13, 56.309°). The point (r, θ) = (4, 30°) is equivalent to the point (x, y) = (2√3, 2).

4) The <em>linear</em> function y = 5 · x - 8 is equivalent to the function r = - 8 / (sin θ - 5 · cos θ).

<h3>How to apply trigonometry on deriving formulas and transforming points</h3>

1) The following <em>trigonometric</em> formulae are used to derive the <em>half-angle</em> formulas:

sin² θ / 2 + cos² θ / 2 = 1                      (1)

cos θ = cos² (θ / 2) - sin² (θ / 2)           (2)

First, we derive the formula for the sine of a <em>half</em> angle:

cos θ = 2 · cos² (θ / 2) - 1

cos² (θ / 2) = (1 + cos θ) / 2

cos (θ / 2) = √[(1 + cos θ) / 2]

Second, we derive the formula for the cosine of a <em>half</em> angle:

cos θ = 1 - 2 · sin² (θ / 2)

2 · sin² (θ / 2) = 1 - cos θ

sin² (θ / 2) = (1 - cos θ) / 2

sin (θ / 2) = √[(1 - cos θ) / 2]

Third, we derive the formula for the tangent of a <em>half</em> angle:

tan (θ / 2) = sin (θ / 2) / cos (θ / 2)

tan (θ / 2) = √[(1 - cos θ) / (1 + cos θ)]

2) The formulae for the conversion of coordinates in <em>rectangular</em> form to <em>polar</em> form are obtained by <em>trigonometric</em> functions:

(x, y) → (r · cos θ, r · sin θ), where r = √(x² + y²).

3) Let be the point (x, y) = (2, 3), the coordinates in <em>polar</em> form are:

r = √(2² + 3²)

r = √13

θ = atan(3 / 2)

θ ≈ 56.309°

The point (x, y) = (2, 3) is equivalent to the point (r, θ) = (√13, 56.309°).

Let be the point (r, θ) = (4, 30°), the coordinates in <em>rectangular</em> form are:

(x, y) = (4 · cos 30°, 4 · sin 30°)

(x, y) = (2√3, 2)

The point (r, θ) = (4, 30°) is equivalent to the point (x, y) = (2√3, 2).

4) Let be the <em>linear</em> function y = 5 · x - 8, we proceed to use the following <em>substitution</em> formulas: x = r · cos θ, y = r · sin θ

r · sin θ = 5 · r · cos θ - 8

r · sin θ - 5 · r · cos θ = - 8

r · (sin θ - 5 · cos θ) = - 8

r = - 8 / (sin θ - 5 · cos θ)

The <em>linear</em> function y = 5 · x - 8 is equivalent to the function r = - 8 / (sin θ - 5 · cos θ).

To learn more on trigonometric expressions: brainly.com/question/14746686

#SPJ1

4 0
2 years ago
You and a friend are driving go-karts on two different tracks. As you drive on a straight section heading east, your friend pass
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No they cross each other like a highway. You are on the underpass and your friend passes over you. As in, they are crossing a bridge & you are below them.
5 0
3 years ago
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