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Butoxors [25]
2 years ago
10

Carlos plans to watch 3 movies each month. Write an equation to represent the total number of movies n that he will watch in m m

onths.
Mathematics
2 answers:
Scilla [17]2 years ago
8 0

Answer:

n=3m

Step-by-step explanation:

n represent the number of movies he will watch

m shows the amoutn of month

BARSIC [14]2 years ago
5 0

Answer:

Step-by-step explanation:

An=3*n

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Two streets bounding your triangular lot make an angle of 74∘. The lengths of the two sides of the lot on these streets are 126
ycow [4]

Answer: a) Yes, there is enough fance

b) 58.1° and 47.9°

c) The city will not approve, because 1/3 of the area is just 2220.5ft²

Step-by-step explanation:

a) using law of cosines: x is the side we do not know.

x² = 126² + 110² - 2.126.110.cos74°

x² = 20335.3

x = 142.6 ft

So 150 > 142.6, there is enough fance

b) using law of sine:

sin 74/ 142.6 = sinα/126 = sinβ/110

sin 74/ 142.6 = sinα/126

0.006741 = sinα/126

sinα = 0.849

α = sin⁻¹(0.849)

α = 58.1°

sin 74/ 142.6 = sinβ/110

sin 74/ 142.6 = sinβ/110

0.006741 = sinβ/110

sinβ = 0.741

β = sin⁻¹(0.741)

β = 47.9°

Checking: 74+58.1+47.9 = 180° ok

c) Using Heron A² = p(p-a)(p-b)(p-c)

p = a+b+c/2

p=126+110+142.6/2

p=189.3

A² = 189.3(189.3-126)(189.3-110)(189.3-142.6)

A = 6661.5 ft²

1/3 A = 2220.5

So 2300 >  2220.5. The area you want to build is bigger than the area available.

The city will not approve

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3 years ago
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Answer:

c

Step-by-step explanation:

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Step-by-step explanation:

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Bricks are delivered to a work site and stacked in rows and columns, forming a rectangular prism. The length of the prism is 3 f
topjm [15]
Correct so far. Finish up.
.. (x +3)(x)(x -1) = 1170
.. x^3 +2x^2 -3x -1170 = 0 . . . . . . one sign change ⇒ one positive real solution

This is a cubic equation with one positive real solution. There are several possible approaches to solving this. My favorite is to let a graphing calculator show me the solution.

You can also factor 1170 = 13*10*9, so x=10.

The width of the prism is 10 feet; the length is 13 feet; the height is 9 feet.

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