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lys-0071 [83]
2 years ago
6

Write 7.12 as a mixed number in simplest form.

Mathematics
2 answers:
andrezito [222]2 years ago
8 0

Answer:

7 3/25

Step-by-step explanation:

torisob [31]2 years ago
4 0
<h3>Answer:  7 & 3/25</h3>

Work Shown:

7.12 = 7 + 0.12

7.12 = 7 + (12/100)

7.12 = 7 + (3/25)

7.12 = 7 & 3/25

The notation 7 & 3/25 means we have the whole part 7 and fractional part 3/25.

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Solving a right triangle (ROUND TO THE NEAREST TENTH)
Kay [80]

Answer:

see explanation

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the given angles from 180 for B

B = 180° - (90 + 40)° = 180° - 130° = 150°

--------------------------------------------------------------

sin40° = \frac{opposite}{hypotenuse} = \frac{a}{21}

Multiply both sides by 21

21 × sin40° = a, thus

a ≈ 13.5 ( to the nearest tenth )

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cos40° = \frac{adjacent}{hypotenuse} = \frac{b}{21}

Multiply both sides by 21

21 × cos40° = b, thus

b ≈ 16.1 ( to the nearest tenth )

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3 years ago
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3 years ago
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3 years ago
Read 2 more answers
Two stabilizing wires extend from the top of a pole to the ground, forming right triangles on
FrozenT [24]

Answer: the height of the pole is 16.1 m.

Step-by-step explanation:

The scenario is illustrated in the attached photo.

x represents the height of the pole.

y represents the distance from the foot of one stabilizing wire to the foot of the pole.

30 - y represents the distance from the foot of the other stabilizing wire to the foot of the pole.

In solving the triangles, we would apply the tangent trigonometric ratio which is expressed as

Tan θ, = opposite side/adjacent side.

Considering triangle ACD,

Tan 60 = x/y

x = ytan60 = y × 1.732

x = 1.732y- - - - - - - - -1

Considering triangle BCD,

Tan 38 = x/(30 - y)

x = (30 - y)tan38 = 0.781(30 - y)

x = 23.43 - 0.781y- - - - - - - - -2

Substituting equation 1 into equation 2, it becomes

1.732y = 23.43 - 0.781y

1.732y + 0.781y = 23.43

2.513y = 23.43

y = 23.43/2.513

y = 9.3

x = 1.732y = 1.732 × 9.3

x = 16.1 m

6 0
3 years ago
What are the leading coefficient, constant term and degree, if any, of the algebraic expression 1+x^3
MA_775_DIABLO [31]
The degree refers to the x to some exponent where the highest exponent is the degree.
Degree: 3
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