Answer:
Step-by-step explanation:
A boat captain, lighthouse and its base form a right triangle.
<u>We need to find the angle opposite to 22 ft side:</u>
- tan x = 22/103
- x = arctan (22/103)
- x = 21°
<em>Note, option D should read 21° not 11°</em>
Planes<span> Q</span> and R are parallel. Lines a and b are shown on planes Q and R, respectively.
Which statement is true about lines a and b?
They are parallel lines.They are perpendicular lines.They are skew lines.<span>They will intersect.</span>
2L + 2(L-6) = 68
2L + 2L -12 = 68
4L = 80
L = 20
The length is 20 in. and the width is 14 in.
Answer:
6/5 or 1.2
Step-by-step explanation:
you can solve with an equation:
x : 5 = 12 : 50
x = 5 * 12 : 50
x = 6/5 (or 1.2)
or you can solve with an expression
12/50 * 5 = 6/5 (or 1.2)
Answer:
Option b and d.
Step-by-step explanation:
Given equation : -5x + 4y > -7
Putting the values of x and y one by one in the options,
a) Putting x as 6 and y as 4.
=> -5(6) + 4(4) > -7
=> -30 + 16 > -7
=> -14 > -7
This doesn't satisfy the inequality, hence this couldn't be the ordered pair.
Similarly,
b) Putting x as 5 and y as 5.
=> -5(5) + 4(5) > -7
=> -25 + 20 > -7
=> -5 > -7
This satisfies the inequality, hence this is the ordered pair.
c) Putting x as 3 and y as 2.
=> -5(3) + 4(2) > -7
=> -15 + 8 > -7
=> -7 > -7
This doesn't satisfy the inequality, hence this couldn't be the ordered pair.
d) Putting x as -2 and y as -4.
=> -5(-2) + 4(-4) > -7
=> 10 - 16 > -7
=> -6 > -7
This satisfies the inequality, hence this is the ordered pair.
<em>Hope</em><em> </em><em>it</em><em> </em><em>helps</em><em> </em><em>:</em><em>)</em>