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Ray Of Light [21]
3 years ago
12

Pam and her grandma are planning to make a quilt together. The quilt will be made out of fabric squares that measure 6 inches on

each side. The quilt will have 3 more squares along its longer edge than it will have along its shorter edge.
If there are x fabric squares along the quilt's shorter edge, find an expression for f(x), the length of the quilt's shorter edge in inches.
f(x)=
6x
Next, find an expression for g(x), the length of the quilt's longer edge in inches.
g(x)=
Which function can you use to find the area of the quilt in square inches?
Mathematics
1 answer:
san4es73 [151]3 years ago
6 0

Answer:

There are x squares on the shorter side, each square measures 6 inches.

<u>The length of the shorter side is:</u>

  • f(x) = x*6 = 6x

<u>The length of the longer side is:</u>

  • g(x) = (x + 3)*6 = 6x + 18

<u>The area of the quilt is:</u>

  • A = 6x(6x + 18) = 36x² + 108x

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A surveyor, Toby, measures the distance between two landmarks and the point where he stands. He also measured the angles between
vagabundo [1.1K]
What we know so far:
Side 1 = 55m
Side 2 = 65m
Angle 1 = 40°
Angle 2 = 30°

What we are looking for:
Toby's Angle = ?
The distance x = ?

We need to look for Toby's angle so that we can solve for the distance x by assuming that the whole figure is a SAS (Side Angle Side) triangle.

Solving for Toby's Angle:
We know for a fact that the sum of all the angles of a triangle is 180°; therefore,
180° - (Side 1 + Side 2) = Toby's Angle
Toby's Angle  = 180° - (40° + 30°)
Toby's Angle = 110°

Since we already have Toby's angle, we can now solve for the distance x by using the law of cosines r² = p²+ q²<span>− 2pq cos R where r is x, p is Side1, q is Side2, and R is Toby's Angle.
</span>
x² = Side1² + Side2² - 2[(Side1)(Side2)] cos(Toby's Angle)
x² = 55² + 65² - 2[(55)(65)] cos(110°)
x² = 3025 + 4225 -7150[cos(110°)]
x² = 7250 - 2445.44
x = √4804.56
x = 69.31m

∴The distance, x, between two landmarks is 69.31m
8 0
2 years ago
Pls help I have a test today in math :( no 1 would help me pls try to help and its in 12:20 so I have a lot of time but pls help
DanielleElmas [232]

Answer:

C. he did not multiply the numerator by 2

Step-by-step explanation:

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Not on your list, but an easy way is
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Step-by-step explanation:

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