Answer:
25 ft
Step-by-step explanation:
Side² = 24² + 7² = 625
√625 = 25 ft
Answer:
1) 20.
2) 30.
3) 47.
4) 86.
5) 27.
Step-by-step explanation:
The order of operations consist in, first, evaluate the parenthesis, then the exponents, the multiplication, the division, and as last the addition and subtraction. Having this in mind:
1) (28 ÷ 4) + 3 + (10 - 8) × 5
7 + 3 + 2 × 5
7 + 3 + 10
20
2) 12 - 5 + 6 × 3 + 20 ÷ 4
12 - 5 + 18 + 5
30
3) 36 ÷ 9 + 48 - 10 ÷ 2
4 + 48 - 5
47
4) 10 + 8 × 90 ÷ 9 - 4
10 + 80 - 4
86
5) 8 × 3 + 70 ÷ 7 – 7
24 + 10 - 7
27
The volume of the sphere is expressed in the formula V = 4/3 pi r^3. The rate of change of volume is determined by differentiating the formula: dV/dt = 4pi r^2 dr/dt. When we substitute 500 cm3/min as dV/dt and 30 cm as r. Then dr/dt is equal to 0.0442 cm/min
Answer:
Step-by-step explanation:
Draw the second altitude MB (see attached diagram).
Quadrilateral HLMB is a rectangle, then LM = HB = 3 units.
Trapezoid KLMN is isosceles trapezoid (because KL=MN), thus
Triangle LHN is right triangle, then by Pythagorean theorem,
Consider right triangle KLH. In this triangle,
So,
