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Ipatiy [6.2K]
3 years ago
13

How many exact tenths are in the number 679.354?​

Mathematics
1 answer:
siniylev [52]3 years ago
5 0

it's probably 679 whole tenths

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What is the equation of the line passing through the point (-2,-1) and perpendicular to the line y = 1/2x+5?
uranmaximum [27]

Step-by-step explanation:

the slope of a line is always the factor of x.

here : 1/2

it is the ratio y/x indicating how many units y changes, when x changes a certain angina amount of units when going from one point to another.

a perpendicular slope puts x and y upside-down and flips the sign.

here : -2/1 = -2

so, the equation looks like

y = -2x + b

b is the y-intercept, and we get this by putting the x and y coordinates of the given point into this equation and solve for b :

-1 = -2×-2 + b

-1 = 4 + b

b = -5

the full equation is therefore

y = -2x - 5

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3 years ago
For a project in his Geometry class, Mamadou uses a mirror on the ground to measure the height of his school's football goalpost
andreev551 [17]

Answer:

Height of the goalpost is 9.25 m.

Step-by-step explanation:

As per the rule of reflection in physics,

Angle of incidence = Angle of reflection

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m∠ACB = m∠ECD = 90° - θ

m∠ABC = m∠ADC = 90°

Therefore, both the triangles ΔABC and ΔEDC will be similar.

And by the property of similar triangles, their corresponding sides will be proportional.

\frac{AB}{ED}= \frac{CB}{CD}

\frac{1.75}{ED}=\frac{2.6}{13.75}

ED = \frac{1.75\times 13.75}{2.6}

ED = 9.25 m

Height of the goalpost is 9.25 m.

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Consider all angles whose reference angle is 45° with terminal sides not in Quadrant I.The angles that share the same cosine val
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As cosine 45 ° is always positive in first and fourth quadrant.

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As, Cos 45°, Cos (-45°) or Cos ( 360° - 45°)= Cos 315°are same.

So, Angles that share the same Cosine value as Cos 45° have same terminal sides  will be in Quadrant IV having value Either Cos (-45°) or Cos (315°).

Also, Cos 45° = Sin 45° or Sin 135° i.e terminal side in first Quadrant or second Quadrant.



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