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3 years ago

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

Mathematics

2 answers:

Aleonysh [2.5K]3 years ago

6 0

C. Addition property of Equality

podryga [215]3 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:

Direction of the boat is 43.05° and the speed is 21.66 knot

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 = $\sqrt{Vx^{2} + Vy^{2} }$

==> $\sqrt{15.83^{2} + 14.79^{2} }$ = 21.66 knot

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

==> $tan^{-1} \frac{14.79}{15.83}$ = 43.05°

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

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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

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3 years ago

Read 2 more answers