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love history [14]
3 years ago
8

You have a gift card worth $90. You want to buy several movies that cost $12 each. Write and solve an inequality that represents

the number of movies you can buy and still have at least $30 on the gift card
Mathematics
2 answers:
DochEvi [55]3 years ago
8 0
90-30>12 90-30=60 60/12= 5
Zigmanuir [339]3 years ago
6 0
12 times 5 equals 60. you will have 30 left on gift card.
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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

7 0
3 years ago
Please help me I really need to turn it in I hate khan academy
kow [346]
42.5 units sq
I’m not sure because I did this partly in my head but this should be right.
5 0
3 years ago
I BEG YOU I WILL DO ANYTHING HELP algebraically solve the following system of equations. Show all your work
sertanlavr [38]
<h2>Answers:</h2>

  • Solving for x on the question - <em>2x + 3y = 32</em>  |  
  1. Answer : x =  \frac{-3}{2}⁻y + 16

  • Solving for y on the question - <em>2x + 3y = 32</em>  |  
  1. Answer : y = \frac{-2}{3}x + \frac{32}{3}
<h3></h3>
  • Solving for x on question - 5x - 4y = -81 |
  1. Answer : x =  \frac{4}{5}y + \frac{-81}{5}

  • Solving for y on question - 5x - 4y = -81 |
  1. Answer : y =  \frac{-5}{4}x + \frac{81}{4}
<h2>Step-by-step explanation:</h2>

<em>(Solving for x on question - 2x + 3y = 32)</em>

2x + 3y = 32

Step 1: Add -3y to both sides.

2x + 3y + −3y = 32 + −3y

2x = −3y + 32

Step 2: Divide both sides by 2.

\frac{2x}{2}  = \frac{-3y+32}{2}

<u>x =  </u>\frac{-3}{2}<u>⁻y + 16</u><u>                                                                                                                 </u>

<em>(Solving for y on question - 2x + 3y = 32)</em>

2x + 3y = 32

Step 1: Add -2x to both sides.

2x + 3y + −2x = 32+ −2x

3y = −2x + 32

Step 2: Divide both sides by 3.

\frac{3y}{3} =  \frac{-2x+32}{3}

<u>y = </u>\frac{-2}{3}<u>x + </u>\frac{32}{3}<u>                                                                                                           </u>

<em>(Solving for x on question - 5x - 4y = -81)</em>

5x − 4y = −81

Step 1: Add 4y to both sides.

5x − 4y + 4y = −81 + 4y

5x = 4y − 81

Step 2: Divide both sides by 5.

\frac{5x}{5} =  \frac{4y-81}{5}

<u>x =  </u>\frac{4}{5}<u>y + </u>\frac{-81}{5}<u>                                                                                                               </u>

<em>(Solving for y on question - 5x - 4y = -81 )</em>

5x − 4y = −81

Step 1: Add -5x to both sides.

5x − 4y + −5x = −81 + −5x

−4y = −5x − 81

Step 2: Divide both sides by -4.

\frac{-4y}{-4} = \frac{-5x-81}{-4}

y =  \frac{-5}{4}x + \frac{81}{4}

5 0
3 years ago
Drawing of a kitchen is shown below
Nutka1998 [239]

Answer:

The answer is 55.54778 ft^2

Step-by-step explanation:

below in the picture.

4 0
3 years ago
Write the equation of a line with a slope of zero passing through (2,-5).
antoniya [11.8K]
Y - y₁ = m (x-x₁)

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

y + 5 = 0

y = -5
3 0
2 years ago
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