Answer:
No because the angle of point C is NOT congruent to the angle of point A.
Step-by-step explanation:
A quadrilateral MUST be a parallelogram if it has both pairs of its opposite angles congruent.
Answer:
x2+11x+28
Step-by-step explanation:
Thus, (x+7)(x+4) multiplies out to x2+4x+7x+28, which can be simplified to
x2+11x+28
Answer:
R = 8,228,571.43 (Approx)
Step-by-step explanation:
Given:
R = x²/y
x = 4.8 x 10⁵
y = 2.8 x 10⁴
Find:
Value of R
Computation:
R = x²/y
R = (4.8 x 10⁵)²/ (2.8 x 10⁴)
R = 23.04 x 10¹⁰ / (2.8 x 10⁴)
R = 8.22857.. x 10⁶
R = 8,228,571.43 (Approx)
Answer: The height of the building is 50.75 feet.
Step-by-step explanation:
The ratio between the height of the object and the casted shadow must be equal for all the objects, as the angle at which the source if light impacts them is the same.
For the person, we know that it is 5.8ft tall, and the shadow is 3.2ft long.
The ratio will be: 5.8ft/3.2ft = 1.8125
Now, if H is the height of the building, and the shadow that the building casts is 28ft, we must have:
H/28ft = 1.8125
Now we can solve this for H.
H = 1.8125*28ft = 50.75 ft
Then the height of the building is 50.75 feet.
Answer:
18.8 cubic inches
Step-by-step explanation:
✔️Amount of juice Cup B will hold than Cup A = Volume of cup B - volume of cup A
✔️Volume of Cup B = Volume of cylinder = πr²h
radius (r) = ½ of 2 = 1 in.
height (h) = 7 in.
Volume of cup B = π*1²*7 = 21.99 in.³
✔️Volume of Cup A = Volume of cone = ⅓πr²h
radius (r) = ½ of 2 = 1 in.
height (h) = 3 in.
Volume of cup B = ⅓*π*1²*3 = 3.14 in.³
✔️Amount of juice Cup B will hold than Cup A = 21.99 in.³ - 3.14 in.³ = 18.8 in.³ (nearest tenth)
