Answer:
Option (1)
Step-by-step explanation:
By using triangle sum theorem in the given triangle,
(5x - 7)° + (11x - 4)° + (3x + 1)° = 180°
(5x + 11x + 3x) - (7 + 4 - 1) = 180
19x - 10 = 180
19x = 190
x = 10
Therefore, (3x + 1)° = 30 + 1
= 30°
(11x - 4)° = 110 - 4
= 106°
(5x - 7)° = 43°
Therefore, Option (1) will be the correct option.
<h3>
Answer: C) 3</h3>
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Explanation:
f(x) is the outer function, so the final output -8 corresponds to f(x)
We see that f(-4) = -8 in the first column of the table. I'm starting with the output and working my way backward to get the input. So we started with -8 and worked back to -4.
Then we move to the g(x) function to follow the same pattern: start with the output and move to the input. We start at -4 in the g(x) bubble and move to 3 in the x bubble.
In short, g(3) = -4
So,
f(g(x)) = f(g(3)) = f(-4) = -8
We see that x = 3 leads to f(g(x)) = -8
Answer:
6.63 cm
Step-by-step explanation:
The segments within the circle form a right angle. Triangle CRS as a right triangle must follow the Pythagorean theorem which says the square of each leg adds to the square of the hypotenuse.
a² + b² = c²
Here a is unknown, b = 10 and c = 12.
a² + 10² = 12²
a² + 100 = 144
a² = 44
a = √44 = 6.63
Answer: 9.19 ft
Step-by-step explanation:
Hi, since the situation forms a right triangle (see attachment) we have to apply the next trigonometric function.
Sin α = opposite side / hypotenuse
Where α is the angle of elevation of the ladder to the ground, the hypotenuse is the longest side of the triangle (in this case is the length of the ladder), and the opposite side (x) is distance between the top of the ladder and the ground.
Replacing with the values given:
Sin 45 = x/ 13
Solving for x
sin45 (13) =x
x= 9.19 ft
Feel free to ask for more if needed or if you did not understand something.
$0.50.
There are a total of 200 tiles (5 x 40)
since John paid $100 for the 200 tiles,
We have to do $100 divided by 200.
Which is .5
So $.50
