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Naddika [18.5K]
3 years ago
14

4.

Mathematics
1 answer:
OLEGan [10]3 years ago
8 0

Answer:

\cos\ A = \frac{2}{4.5}

Step-by-step explanation:

Given

sin\ A = \frac{2}{4.5}

See attachment

Required

Explain and correct the error

The error in the equation is that: the formula of cosine of angle A is used to calculate the sine of angle A.

The ratio can be corrected as by using:

\cos\ A = \frac{Adjacent}{Hypotenuse}

\cos\ A = \frac{AC}{AB}

\cos\ A = \frac{2}{4.5}

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Suppose the income tax rate is 6%. Determine the amount of money remaining after paying income tax on
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Answer:

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Step-by-step explanation:

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3 years ago
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Skylar owns a trucking company. For every truck that goes out, Skylar must pay the driver $11 per hour of driving and also has a
jeyben [28]

Answer:

The set of needed equations is

h = 30 m

11 m +  3  h = 909  where

the driver drove for m hours.

h : distance covered in m hours

Step-by-step explanation:

Here, according to the question:

The per hour rate of driver  = $11

The gas maintenance expense = $3 per mile.

The total distance covered by drives is 30 miles per hour.

The total  expenses paid to driver  = $909

Now, let us assume the driver drove for m hours.

The average speed of driver was 30 miles / hour

⇒ Driver covers 30 miles in 1 hour

SO, distance covered in m hours  = h = m x 30 = 30 m

or, h = 30 m

So,according to the question, the total amount paid :

Charges of m hours driving + maintenance charges for h miles

= 11 m + 3( h)

or, 11 m +  3  h = $909

Hence the set of needed equations is

h = 30 m

11 m +  3  h = 909

4 0
3 years ago
(I need the answer right now please) ΔA'B'C' was constructed using ΔABC and line segment EH. 2 triangles are shown. Line E H is
irina1246 [14]

Answer:

The true statements are

1. BD = DB'

3. m∠EFA = 90°

4. The line of reflection, EH, is the perpendicular bisector of BB', AA', and

   CC'

Step-by-step explanation:

* Lets explain how to solve the problem

- Reflection is flipping an object over the line of reflection.

- The object and its image have the same shape and size, but the

  figures are in opposite directions from the line of reflection

- The objects appear as if they are mirror reflections, with right and left

  reversed

- The line of reflection is a perpendicular bisector for all lines joining

  points on the figure with their corresponding images

- Look to the attached figure for more understand

* Lets solve the problem

- ΔA'B'C' was constructed using ΔABC and line segment EH, where

 EH is the reflection line

- D is the mid-point of BB'

- F is the mid-point of AA'

- G is the mid-point of CC'

* Lets find from the answer the true statements

1. BD = DB'

∵ D is the mid point of BB'

- Point D divides BB' into two equal parts

∴ BD = DB' ⇒ <em>True</em>

2. DF = FG

- It depends on the size of the sides and angles of the triangle

∵ We can't prove that

∴ DF = FG ⇒ <em>Not true</em>

3. m∠EFA = 90°

∵ The line of reflection ⊥ the lines joining the points with their

   corresponding images

∴ EH ⊥ AA' and bisect it at F

∴ m∠EFA = 90° ⇒ <em>True</em>

4. The line of reflection, EH, is the perpendicular bisector of BB',

   AA', and CC'

- Yes the line of reflection is perpendicular bisectors of them

∴ The line of reflection, EH, is the perpendicular bisector of BB',

   AA', and CC' ⇒ <em>True</em>

5. ΔABC is not congruent to ΔA'B'C'

∵ In reflection the object and its image have the same shape and size

∴ Δ ABC is congruent to Δ A'B'C'

∴ ΔABC is not congruent to ΔA'B'C' ⇒ <em>Not true</em>

4 0
3 years ago
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0.9/0.5 = a/10 Plz help
jonny [76]

Answer:

18

Step-by-step explanation:

10/0.5 = 20

20 * 0.9 = 18

7 0
3 years ago
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Janice bought juice packets for the 15 players on the soccer team. The juice packets come in boxes of 6. How many boxes did jani
lara [203]
Janice bought 3 boxes.

Each box has 6 juice pockets. However, there are 15 players on the soccer team. Two boxes would not be enough, since that would only total 12 juice packets.

So, Janice has to buy 3 boxes, which is 18 juice packets.
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