Answer:
5√3 ft
Step-by-step explanation:
If the ladder is 10ft tall, then that represents the hypotenuse. If the foot of our ladder is 5ft away from the wall, that is a side length that we know. Using the Pythagorean Theorem, a²+b²=c², where a and b are side lengths of a right triangle, and c is the hypotenuse, we can solve for the missing side length:
a²+b²=c²
(5)²+b²=(10)²
25+b²=100
b²=75
b=√75
b=5√3
So the ladder will reach a height of 5√3 ft.
<h3>
Answer: 2x+21</h3>
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Work Shown:
f(x) - g(x) = [ f(x) ] - [ g(x) ]
f(x) - g(x) = [ 7x+15 ] - [ 5x-6 ]
f(x) - g(x) = 7x+15 - 5x+6
f(x) - g(x) = (7x-5x)+(15+6)
f(x) - g(x) = 2x+21
Answer:
(3,1) --> One solution
Step-by-step explanation:
Start by multiplying the first equation by 4:
-7x(4)+2y(4)=-19(4)
-28x+8y=-76
In this scenario, we can eliminate 8y by subtracting the two equations:
-34x=-102
Divide both sides by -34
x=3
Plug 3 back in for x to solve for y
-7(3)+2y=-19
-21+2y=-19
Add 21 to both sides
2y=2
Divide both sides by 2
y=1
(x,y)=(3,1)
2 and 3 because 2 is in 6 timestable and 3 is in 9 as the lowest number
Answer:
C. increases rapidly.
Step-by-step explanation:
tan(θ) = sin(θ)/cos(θ)
Now, when sin 90 = 1
and cos 90 = 0
so, tan(90) = 1/0 = not defined.
<em>(1/0 is infinity and its value is not defined)</em>
So, when angle θ increases to 90°, then the value of tan(θ) increases rapidly, as shown in the figure below.