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MrRissso [65]
3 years ago
11

A 6 foot ladder is leaning against a playhouse at an angle of elevation of 50 degree . Which is closest to x , the distance from

the playhouse to the base ladder?
Mathematics
1 answer:
Temka [501]3 years ago
3 0
X/6 =cos50° => x= 6cos50° = 3,856
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F(n)=4n-3 find the 15th term of the sequence defined by the explicit rule
Naddika [18.5K]

Answer:

Step-by-step explanation:

hello,

we need to evaluate f(15) so

f(15)=4*15-3=60-3=57

Hope this helps

7 0
3 years ago
100 is 10 times as much as
mojhsa [17]
It is as much as 1000
4 0
3 years ago
Which table represents a direct variation? Table A x 4 6 8 10 y 7 9 11 13 Table B x 4 6 8 10 y 12 18 24 30 Table C x 4 6 8 10 y
Greeley [361]

Answer:

We conclude that 'Table B' represents a direct variation.

Step-by-step explanation:

We know that when y varies directly with x, the equation is

y ∝ x

y = kx

k = y/x

where 'k' is called the constant of proportionality.

Table A

x     4 6 8 10

y     7 9 11 13

Finding k for all the pairs of x and y

k = y/x

k = 7/4, k = 9/6 = 3/2, k = 11 / 8, k = 13/11

As constant of proportionality 'k' does not remain constant.

Hence, table A does not represent a direct variation

Table B

x     4   6   8   10

y     12 18 24 30

Finding k all the pairs of x and y

k = y/x

k = 12/4 = 3, k = 18/6 = 3, k = 24/8 = 3, k = 30/10 = 3

As the constant of proportionality remains constant.

Therefore, the value of k = 3 for all the points in the table.

Hence, table B represents a direct variation.

Table C

x     4   6   8   10

y     1    3    5    7

Finding k all the pairs of x and y

k = y/x

k = 1/4, k = 3/6 = 1/2, k = 5/8, k = 7/10

As the constant of proportionality 'k' does not remain constant.

Hence, table C does not represent a direct variation.

Table D

x     4   6   8   10

y     3   3   3    3

Finding k all the pairs of x and y

k = y/x

k = 3/4, k = 3/6, k = 3/8, k = 3/10

As the constant of proportionality 'k' does not remain constant.

Hence, table D does not a direct variation.

Therefore, we conclude that 'Table B' represents a direct variation.

8 0
3 years ago
Read 2 more answers
Which equation represents line shown in the accompanying<br> diagram?
Sergeu [11.5K]
I am pretty sure it’s c because you go up 4 and over 3 to the right so that would be plus 3
5 0
3 years ago
What is an equation for the line that passes through (-2,-3) with a slope of -1/2?
Crazy boy [7]

Answer:

C

Step-by-step explanation:

To write the equation of a line use the point slope form of a line substituting m = -1/2 and the point (-2,-3).

y -y_1 = m(x-x_1)\\y --3=-\frac{1}{2}(x--2)\\y+3 = -\frac{1}{2}(x+2)

Convert to standard form by applying the distributive property and rearranging the terms.

y + 3 = -\frac{1}{2}(x+2)\\y+3 = -\frac{1}{2}x -1\\2y + 6 = -x -2\\x+2y + 6 = -2\\x + 2y = -8

The equation x +2y = -8 is the same equation as 4y + 2x = -16 just doubled----> 2x + 4y = -16

8 0
3 years ago
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