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Anastasy [175]
2 years ago
12

Which property of equality can be used to justify this step?

Mathematics
2 answers:
Aleonysh [2.5K]2 years ago
6 0
C. Addition property of Equality
podryga [215]2 years ago
4 0
C. Addition Property of Equality
because you are adding 10x to both sides
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5. A yacht is cruising at 20 knots at bearing of 185° when a 15 knot wind starts to blow at a bearing of 290°. Find the directio
kicyunya [14]

Answer:

<em>Direction of the boat is 43.05° and the speed is 21.66 knot</em>

<em></em>

Step-by-step explanation:

yacht speed = 20 knots

yacht bearing = 185° = 85°  below the negative horizontal x-axis

wind speed = 15 knots

wind bearing = 290° = 20° above the negative horizontal x-axis

we find the x and y components of the boat velocities

for yacht,

x component = -20 cos 85° = -1.74 knots

y component = -20 sin 85° = -19.92 knots

for the wind,

x component = -15 cos 20° = -14.09 knots

y component = 15 sin 20° = 5.13 knots

total x component  Vx = -1.74 + (-14.09) = -15.83 knots

total y component Vy =  -19.92 + 5.13 = -14.79 knots

Resultant speed of the boat = \sqrt{Vx^{2} + Vy^{2}  }

==> \sqrt{15.83^{2} + 14.79^{2}  } = <em>21.66 knot</em>

<em></em>

direction of boat = tan^{-1} \frac{Vy}{Vx}

==> tan^{-1} \frac{14.79}{15.83} = <em>43.05°</em>

3 0
3 years ago
Spencer made a quilt for his cousin's doll. The quilt had a 7x7 array of different color square patches. If each patch is 1 3/4
Damm [24]

Answer:

\frac{2401}{16} square inches

Step-by-step explanation:

Given:

The quilt made by Spencer had a 7×7 array of different color square patches such that each patch is 1\frac{3}{4} in long.

To find: the area of the whole quilt

Solution:

Side of each quilt = 7(\frac{3}{4})=7(\frac{7}{4})=\frac{49}{4}

Quilt is in the form of a square such that area of square is given by (side)^2

Therefore, area of quilt = (side)^2=(\frac{49}{4})^2 =\frac{2401}{16}  square inches

3 0
3 years ago
Reduce 6/33 to lowest terms
balandron [24]
\frac{6}{33}^{(3}\to\boxed{\frac{2}{11}}
8 0
3 years ago
Read 2 more answers
Determine the period.
soldier1979 [14.2K]

Answer:

Step-by-step explanation:

we are being told that each square is one unit.  so,  look at peak to peak and count the units.  

1,2,3,4,5,6,7

From peak to peak is 7 units, so the period is 7

8 0
2 years ago
Zack has a old car. He wants to sell it for 60% off the current price. The market price is $500. How much money would he receive
oksano4ka [1.4K]
Since it would be 60% of the original price which is 500 it would have be $300
5 0
3 years ago
Read 2 more answers
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