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Alekssandra [29.7K]
4 years ago
10

Solve by the substitution method, 3x + 7y = 27 - 7x + y = 41

Mathematics
1 answer:
Arturiano [62]4 years ago
6 0

Answer:

all work is pictured and shown

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Solve a ship leave port and travel 21km on a bearing of 032° and then 45km on a bearing 287 calculate the distance and bearing o
Olin [163]

Answer:

Step-by-step explanation:

Let shall be considering the Cosine rule in this situation.

a^2 = b^2+c^2- 2bc.cosA

Where a = ?

b = 21km

c 45km

A = 131

a^2 = 21^2+45^2-2(21*45).cos131

a^2 = 441+2025-1890(-0.6560)

a^2 = 2466+1239.951

a^2 = 3705.951

a= 60.876km

Finding the bearing of the port from the ship.

We shall be considering the Sine rule

Sin A/a = Sin B/b

Where A = ?

a = 45km

B = 131°

b = 60.876km

Sin A/45 = sin131/60.876

SinA×60.876 = 45×sin131

SinA×60.876= 45×0.7547

SinA×60.876 = 33.961

SinA= 33.961/60.876

SinA = 0.5578

A = sin^-1 0.5578

A = 33.9°

3 0
3 years ago
ABCD is an isosceles trapezoid with diagonals that intersect at point P. If AB || CD, AC = 7y -30, BD = 4y + 60, and
Sophie [7]
The answer is b 164.
8 0
3 years ago
What is the scale factor of the dilation (with center at the origin) if point U (6, 2) becomes U’ (12, 4)?
viva [34]

Answer:

2

Step-by-step explanation:

Dilation is when you increase the shape by a factor. It's multiplication or division of the point's coordinates.

6 -> 12

2 -> 4

To get these changes, you must multiply by 2, <u>so 2 is the scale factor.</u>

7 0
4 years ago
2. Xamdi is having a birthday party. The event location says the total cost includes a fixed rental fee of $80 and $10 per guest
Stells [14]
80+10x is the expression. To find the cost for 9 guests, simply plug in 9 for x. This becomes an equation reading 80+10(9)=170. The total cost for 9 guests is $170.00.


4 0
4 years ago
Evaluate the expression when g=8 and h=7. <br> 4g-h
Lelechka [254]
25 because 4(8)-7 = 32-7 = 25
3 0
3 years ago
Read 2 more answers
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