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2 years ago

6

A man walks due east for 4km, he then changes direction and walks on a bearing on a bearing of 197° until he is south west of hi

s starting point. How far is he from the starting point?

1 answer:

Fed [463]2 years ago

7 0

Answer:

13.08 ≈ y

Step-by-step explanation:

You might be interested in

Lincoln saves 40% of every paycheck. His paycheck last week was $660. How much did Lincoln save last week?

sergejj [24]

Take the whole and multiply it by the percentage

so...

660 * .4 = 264

8 0

3 years ago

One member of the debate team is going to be chosen president. each member is equally likely to be chosen. the probability that

inessss [21]

Let
x-------> <span>the probability that a boy is chosen
B------> </span>number of boys in the debate team
G------> number of girls in the debate team<span>

we know that
B+G=20-----> G=20-B-----> equation 1
</span>probability that a boy is chosen=number of boys in the debate team/total of people
so
x=B/20-------> equation 2

t<span>he probability that a girl is chosen is 2/3 the probability that a boy is chosen
</span>probability that a girl is chosen=(2/3)*x
probability that a girl is chosen=G/20
(2/3)*x=G/20-----> equation 3
substitute equation 1 in equation 3
(2/3)*x=[20-B]/20----> equation 4

resolve the equations system
x=B/20
(2/3)*x=[20-B]/20

using a graph tool
see the attached figure
the solution is
x=0.6
B=12
G=20-12-----> G=8

number of boys in the debate team is 12
number of girls in the debate team is 8
the probability that a boy is chosen is 0.6 ----> 60%
the probability that a girl is chosen is 0.6*(2/3)----> 0.4---> 40%

the answer is
number of girls in the debate team is 8

7 0

3 years ago

A(x) = 2 (3x - 2)(x - 5)

PSYCHO15rus [73]

Answer:

Quadratic polynomial can be factored using the transformation ax

2

+bx+c=a(x−x

1

)(x−x

2

), where x

1

and x

2

are the solutions of the quadratic equation ax

2

+bx+c=0.

−x

2

−3x+5=0

All equations of the form ax

2

+bx+c=0 can be solved using the quadratic formula:

2a

−b±

b

2

−4ac

. The quadratic formula gives two solutions, one when ± is addition and one when it is subtraction.

x=

2(−1)

−(−3)±

(−3)

2

−4(−1)×5

Square −3.

x=

2(−1)

−(−3)±

9−4(−1)×5

Multiply −4 times −1.

x=

2(−1)

−(−3)±

9+4×5

Multiply 4 times 5.

x=

2(−1)

−(−3)±

9+20

Add 9 to 20.

x=

2(−1)

−(−3)±

29

The opposite of −3 is 3.

x=

2(−1)

3±

29

Multiply 2 times −1.

x=

−2

3±

29

Now solve the equation x=

−2

3±

29

when ± is plus. Add 3 to

29

.

x=

−2

29

+3

Divide 3+

29

by −2.

x=

2

−

29

−3

Now solve the equation x=

−2

3±

29

when ± is minus. Subtract

29

from 3.

x=

−2

3−

29

Divide 3−

29

by −2.

x=

2

29

−3

Factor the original expression using ax

2

+bx+c=a(x−x

1

)(x−x

2

). Substitute

2

−3−

29

for x

1

and

2

−3+

29

for x

2

.

−x

2

−3x+5=−(x−

2

−

29

−3

)(x−

2

29

−3

)

EVALUATE

5−3x−x

2Quadratic polynomial can be factored using the transformation ax

2

+bx+c=a(x−x

1

)(x−x

2

), where x

1

and x

2

are the solutions of the quadratic equation ax

2

+bx+c=0.

−x

2

−3x+5=0

All equations of the form ax

2

+bx+c=0 can be solved using the quadratic formula:

2a

−b±

b

2

−4ac

. The quadratic formula gives two solutions, one when ± is addition and one when it is subtraction.

x=

2(−1)

−(−3)±

(−3)

2

−4(−1)×5

Square −3.

x=

2(−1)

−(−3)±

9−4(−1)×5

Multiply −4 times −1.

x=

2(−1)

−(−3)±

9+4×5

Multiply 4 times 5.

x=

2(−1)

−(−3)±

9+20

Add 9 to 20.

x=

2(−1)

−(−3)±

29

The opposite of −3 is 3.

x=

2(−1)

3±

29

Multiply 2 times −1.

x=

−2

3±

29

Now solve the equation x=

−2

3±

29

when ± is plus. Add 3 to

29

.

x=

−2

29

+3

Divide 3+

29

by −2.

x=

2

−

29

−3

Now solve the equation x=

−2

3±

29

when ± is minus. Subtract

29

from 3.

x=

−2

3−

29

Divide 3−

29

by −2.

x=

2

29

−3

Factor the original expression using ax

2

+bx+c=a(x−x

1

)(x−x

2

). Substitute

2

−3−

29

for x

1

and

2

−3+

29

for x

2

.

−x

2

−3x+5=−(x−

2

−

29

−3

)(x−

2

29

−3

)

EVALUATE

5−3x−x

2

Step-by-step explanation:

7 0

2 years ago

3 out of every 5 picks are orange. If 12 picks are orange, how many picks are there in all?

alexandr1967 [171]

Answer:

the are 15 orange ones

4 0

3 years ago

T = 320.00 + 0.40b

Gemiola [76]

Answer:

c) The total price for the service when Terrance's price was equivalent to Sylvester's price is $600.

Step-by-step explanation:

Here, t = 320.00 + 0.40 b

and t = The total prices charged by Terrance for packing and moving b boxes.

s = 250.00 +0.50 b

and s = The total prices charged by Sylvester for packing and moving b boxes.

Now, to find the number of boxes, when both the prices are equal.

⇒320.00 + 0.40 b = 250.00 +0.50 b

or, 320 - 250 = 0.50 b - 0.40 b

or, 0.10 b = 70

or, b= 70/0.10 = 700

Hence, for packing and moving b = 700 boxes, both companies charge the same amount.

Now, the price charged = 320 + 0.4 (b)

= 320 + 0.4(70) = 320 + 280

= 600

or, the total price for the service when Terrance's price was equivalent to Sylvester's price is $600.

3 0

3 years ago