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Naddik [55]
3 years ago
15

57°

Mathematics
1 answer:
noname [10]3 years ago
3 0

Answer:

c = 29

Step-by-step explanation:

Law of sines is given as: \frac{a}{sin(A)} = \frac{b}{sin(B)} = \frac{c}{sin(C)}

B = 180 - (57 + 44) = 79°

b = 41

C = 44°

c = ?

Thus:

\frac{b}{sin(B)} = \frac{c}{sin(C)}

Substitute

\frac{41}{sin(79)} = \frac{c}{sin(44)}

Multiply both sides by sin 44

\frac{41}{sin(79)}*sin(44) = \frac{c}{sin(44)}*sin(44)

\frac{41*sin(44)}{sin(79)}*sin(44) = c

c = 29.0140633 ≈ 29

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Beth is putting up a fence in her yard so her dog can play outside. She purchased 80 feet of fencing. If the fenced area is a re
mariarad [96]

Answer:

10 feet

Step-by-step explanation:

The formula for the Perimeter fo a rectangle

= P = 2L + 2W

Where:

L = Length

W = Width

From the question

P = 80 feet

W = 30 feet

Hence:

80 = 2L + 2(30)

80 - 2(30) = 2L

80 - 60 = 2L

20 = 2L

L = 20/2

L = 10 feet

Hence, the length of the fenced area = 10 feet

4 0
3 years ago
Ryan bought 6 apples and 9 peaches for a total of $7.86. Maya bought 4 apples and 5 peaches for $4.82. How much are apples and p
nekit [7.7K]
Apples are $0.68 and peaches are $0.42.

To find these values, we need to write and solve the following system of equations.

6x + 9y = 7.86
4x + 5y = 4.82

Multiply the first equation by 2 and the second by -3.

12x + 18y = 15.72
-12x - 15y = 14.46

Add the equations together.
3y = 1.26
y = 0.42

Sub in 0.72 and solve for x in either equation and you will get x = 0.68.

5 0
3 years ago
• If the new image is smaller than the old image would
mars1129 [50]

Answer:

Less than one

Step-by-step explanation:

5 0
3 years ago
Translate this problem to an equation and solve. The area of a patio is 72 square feet. The length of the patio is 1 foot longer
Inessa05 [86]
A = LW
A = 72
L = W + 1

72 = W(W + 1)
72 = W^2 + W
W^2 + W - 72 = 0
(W + 9)(W - 8) = 0

W + 9 = 0
W = -9......extraneous solution...does not work here

W - 8 = 0
W = 8 <==

L = W + 1
L = 8 + 1
L = 9

so the width (W) is 8 ft and the Length is 9 ft
7 0
3 years ago
Solve 1/p+1/s=1 for p
jekas [21]

Answer:

Step-by-step explanation:

Multiply through by the L. C. M which is PS.

1/p*ps+1/s*ps=1*ps

P+p=ps

2p=ps

Divide both sides by 2

2p/2=ps/2

P=ps/2

3 0
3 years ago
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