Answer:
46.63 ft
Step-by-step explanation:
I've drawn and attached a triangle diagram to represent this elevation and distance of balloons.
Now, from the diagram attached, we can see the angle at which June must look up to see Armando is 25°.
Also, the height of Armando above June is represented by "x".
Thus, using pythagoras theorem, we can find x.
Thus;
x/100 = tan 25
x = 100 × tan 25
x = 100 × 0.4663
x = 46.63 ft
Obtuse, acute, and right.
Answer:
x = 104
Step-by-step explanation:
The exterior angle is equal to the sum of the opposite interior angles
24+x = 128
Subtract 24 from each side
24+x-24 =128 -24
x =104
Answer:
F) 35,625
Step-by-step explanation:
Walter is in the 25% range since $47,500 is in-between 36,901 to 89,359
25% = 0.25
47,500 * 0.25 = 11,875
47,500 - 11,875 = $35,625
Answer:
644 cm²
Step-by-step explanation:
Surface area of the composite figure = surface area of the large rectangular prism + surface area of the small rectangular prism - 2(area of the surface of the small rectangular prism that joins the larger prism)
✔️Surface area of the large rectangular prism = 2(LW + LH + WH)
L = 6 cm
W = 5 cm
H = 20 cm
Surface area = 2(6*5 + 6*20 + 5*20)
= 500 cm²
✔️Surface area of the small rectangular prism = 2(LW + LH + WH)
L = 6 cm
W = 4 cm
H = 12 cm
Surface area = 2(6*4 + 6*12 + 4*12)
= 288 cm²
✔️area of the surface of the small rectangular prism that joins the larger prism = L*W
L = 12 cm
W = 6 cm
Area = 12*6
= 72 cm²
✅Surface area of the composite figure = 500 + 288 - 2(72)
= 644 cm²