The equation that could be used to determine the unknown side length, M of the logo is A = 7M
<h3>How to determine the equation?</h3>
From the question, we have the following parameters:
- Logo: Rectangle
- Length, L = 7 feet
Represent the area of the logo with A, and M represents the unknown side
The area (A) of the rectangle is calculated using:
A = L * W
Substitute 7 for L, and M for W
A = 7M
Hence, the equation that could be used to determine the unknown side length, M of the logo is A = 7M
Read more about areas at:
brainly.com/question/24487155
7x+2y=24
<span>-8x-2y=-30 (multiplied each side by -1)
-x = -6
x = 6
</span>7x+2y=24
7(6)+2y=24
42+2y=24
2y = -18
y = -9
Answer:
- Maria–Ava: 15.7 feet
- Lucas–Maria: 10.1 feet
- angle at Maria: 50°
Step-by-step explanation:
The cosine and tangent functions are useful here. The relevant relations are ...
Cos = Adjacent/Hypotenuse
Tan = Opposite/Adjacent
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The distance from Maria to Ava (ma) is the hypotenuse of the triangle, so we have ...
cos(40°) = 12/ma
ma = 12/cos(40°) ≈ 12/0.76604 ≈ 15.7 . . . feet
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The distance from Lucas to Maria (ml) is the side opposite the given angle, so we have ...
tan(40°) = ml/12
ml = 12·tan(40°) ≈ 12·0.83910 ≈ 10.1 . . . feet
__
The angle formed at Maria's position is the complement of the other acute angle in the right triangle:
M = 90° -40° = 50°
In summary, ...
- Maria–Ava: 15.7 feet
- Lucas–Maria: 10.1 feet
- angle at Maria: 50°
Answer:
each movie costs $2.75, each video game costs $6.75
Step-by-step explanation:
x = movies, y = video games
7x + 9y = 80
5x + 3y = 34
simplified to
x = 11/4 , y = 27/4