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icang [17]
3 years ago
11

Help with 14# plz!!!

Mathematics
2 answers:
Serjik [45]3 years ago
8 0
15x - 6 = 9(x + 2)
15x - 6 = 9x + 18
15x - 9x = 18 + 6
6x = 24
x = 4
never [62]3 years ago
7 0
15x - 6 = -9
9(x+2) = 9x+2=11x
9+11x=19x 
Right???

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HELP PLEASE! The distances from a ship to two lighthouses on the shore are 4 miles and 7 miles respectively. If the angle betwee
IrinaK [193]

Answer:

5.25 miles

Step-by-step explanation:

We are required to determine the distance between Lighthouse A and Lighthouse B in the diagram.

Using Law of Cosines

c^2=a^2+b^2-2abCosC\\c^2=7^2+4^2-2(7)(4)Cos48^\circ\\c^2=27.5287\\c=\sqrt{27.5287} \\c=5.25\: miles

The distance between lighthouses is 5.25 miles.

6 0
3 years ago
Jasmine is designing boxes she will use to ship her jewelry. She wants to shape the box like a regular polygon. In order for the
Naddik [55]

Answer:

The regular polygon that she should use is an equilateral  triangle

Step-by-step explanation:

The parameters given are;

Interior angles = 0.5 × Exterior angles

Exterior angles of a regular polygon = 360/n

Sum of interior angles of a regular polygon = (n - 2) × 180

Where n = the number of sides

Therefore, the sum of exterior angles of a regular polygon = 360°

Hence we have;

(n - 2) × 180 = 360/2 = 180

n - 2 = 180/180 = 1

n = 1 + 2 = 3 which is a three sided regular polygon or an equilateral triangle

Therefore, the regular polygon that she should use is an equilateral  triangle

3 0
3 years ago
Given the equation, C = P + (P)(T), what is the final cost of a cell phone priced at $20.00 with a tax rate of 5%?
sergij07 [2.7K]

Answer: Answer is $21

Step-by-step explanation:

Using the equation C = P + (P)(T)

where P= $20

T= 5%; 5/100 = 0.05

Substitute the figures in the equation,

$20 + $20 (0.05)

Apply BODMAS and open bracket first

$20 + $1

= $21

6 0
3 years ago
If y = -4 when x = 1, find y when x = 3
dedylja [7]

Answer: y=-6

Step-by-step explanation:

y = -4 when x = 1

find y when x = 3

y=-4   x=1

y=-5      x=2

y=-6     x=3

im not sure if this is right so I’m sorry

8 0
3 years ago
How many possible committees of 4 people can be chosen from 15 men and 20 women so that at least two women should be on each com
Mnenie [13.5K]

<span>If there has to be 2 men and 2 women, we know that we must take a group of 2 men out of the group of 15 men and a group of 2 women out of the group of 20 women. Therefore, we have:

(15 choose 2) x (20 choose 2)


(15 choose 2) = 105

(20 choose 2) = 190

190*105 = 19950

Therefore, there are 19950 ways to have a group of 4 with 2 men and 2women.</span>

 

<span>If there has to be 1 man and 3 women, we know that we must take a group of 1 man out of the group of 15 men and a group of 3 women out of the group of 20 women. Therefore, we have:

(15 choose 1) x (20 choose 3)


(15 choose 1) = 15

(20 choose 3) = 1140

15*1140 = 17100

Therefore, there are 17100 ways to have a group of 4 with 3 women and 1 man.</span>

 

<span>We now find the total outcomes of having a group with 4 women.

We know this is the same as saying (20 choose 4) = 4845</span>

Therefore, there are 4845 ways to have a group of 4 with 4 women.

 

We now add the outcomes of 2 women, 3 women, and 4 women and get the total ways that a committee can have at least 2 women.

 

19950 + 17100 + 4845 = 41895 ways that there will be at least 2 women in the committee


5 0
3 years ago
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