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Grace [21]
3 years ago
12

Find the missing side. Round to the nearest tenth

Mathematics
2 answers:
soldier1979 [14.2K]3 years ago
6 0

Answer:

x = 14

Step-by-step explanation:

\cos( \theta)   =  \frac{a}{h} \\  \cos(59)   =  \frac{x}{28}  \\ 0.5  \times 28 = x \\ 14 = x

beks73 [17]3 years ago
4 0

We know

\boxed{\sf cos\theta=\dfrac{Base}{Hypotenuse}}

\\ \sf\longmapsto cos59=\dfrac{x}{28}

\\ \sf\longmapsto 0.5=\dfrac{x}{28}

\\ \sf\longmapsto x=28\times 0.5

\\ \sf\longmapsto x\approx 14

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fiasKO [112]

We are given that the cost of each shirt = $12.25

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3 years ago
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4 0
2 years ago
A certain number of sixes and nines is added to give a sum of 126; if the number of sixes and nines is interchanged, the new sum
galina1969 [7]

Answer:

Original number of sixes = 6

Original number of nines = 10

Step-by-step explanation:

We are told in the question that:

A certain number of sixes and nines is added to give a sum of 126

Let us represent originally

the number of sixes = a

the number of nines = b

Hence:

6 × a + 9 × b = 126

6a + 9b = 126.....Equation 1

If the number of sixes and nines is interchanged, the new sum is 114.

For this second part, because it is interchanged,

Let us represent

the number of sixes = b

the number of nines = a

6 × b + 9 × a = 114

6b + 9a = 114.......Equation 2

9a + 6b = 114 .......Equation 2

6a + 9b = 126.....Equation 1

9a + 6b = 114 .......Equation 2

We solve using Elimination method

Multiply Equation 1 by the coefficient of a in Equation 2

Multiply Equation 2 by the coefficient of a in Equation 1

6a + 9b = 126.....Equation 1 × 9

9a + 6b = 114 .......Equation 2 × 6

54a + 81b = 1134 ........ Equation 3

54a + 36b = 684.........Equation 4

Subtract Equation 4 from Equation 3

= 45b = 450

divide both sides by b

45b/45 = 450/45

b = 10

Therefore, since the original the number of nines = b,

Original number of nines = 10

Also, to find the original number of sixes = a

We substitute 10 for b in Equation 1

6a + 9b = 126.....Equation 1

6a + 9 × 10 = 126

6a + 90 = 126

6a = 126 - 90

6a = 36

a = 36/6

a = 6

Therefore, the original number of sixes is 6

7 0
3 years ago
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