Answer:
building: 51.4 ft
flagpole: 5.3 ft
Step-by-step explanation:
The relevant trig relation is ...
Tan = Opposite/Adjacent
If we let b and p represent the heights of the building and flagpole, respectively, then we can write two equations using the tangent relation:
tan(79°) = b/10
tan(80°) = (b +p)/10
Multiplying these equations by 10 gives the values we're interested in.
b = 10·tan(79°) ≈ 51.4 . . . feet
b +p = 10·tan(80°) ≈ 56.7 . . . feet
Then the height of the flagpole is ...
p = (b+p) -b = (56.7 ft) -(51.4 ft) = 5.3 ft
The building is 51.4 ft tall.
The flagpole is 5.3 ft tall.
Answer:
-72
Step-by-step explanation:
9*(-2)³ = 9*(-8) = -72
The slope is -1/4, which is -0.25x. We know that we are exactly 8 units to the left of the y axis, so we can use the slope to determine the change within the coordinates as the line moves across the graph. The slope has a rise of -1 and a run of 4, meaning every 4 units to the right will be 1 unit up. We must move 8 units to the right, which in turn moves the graph down 8 quarter units. 8 x (1/4) is 2, so we know that the graph has moved down 2 units. (Down because the graph has a negative slope). (-8,3)->(0,1). From this coordinate, we can see the y intercept is 1. Since y=mx+b, we can write y=-1/4x+1. This is your equation. (Sorry for the length, wanted to be thorough)
69 of the coins are not nickels.
Answer:
The leg is 8 cm long
Step-by-step explanation:
An isosceles right triangle has the length of its hypotenuse and opposite equal
Let us call the length x
From Pythagoras’ , the square of the hypotenuse equals the sum of the squares of the two other sides
Thus, we have ;
x^2 + x^2 = (8 √2)^2
2x^2 = 128
x^2 = 128/2
x^2 = 64
x= √64
x = 8 cm
