Answer: The surface area of the ball is 15.90 in².
Step-by-step explanation:
1. The ball is spherical, therefore to calculate its surface area, you must apply the formula for calculate the surface area of a sphere, which is:
2. You can calculate the radius (
) with the diameter given in the problem, as following:
3. Substitute this value into the formula. Then, you obtain that the result is:
Two equations are:
Te is time east
Tn is time north
Te + Tn = 5 hours
266Te +196Tn = 1190 is the distance equation
Solve these two equations and
Te = 3 hours and Tn= 2 hours
Answer:
Switch .91 and .19 and you're good
Step-by-step explanation:
Answer:
Step-by-step explanation:
he can make 300 dollars per week by doing either or. so if you're asking whether the statement is correct, it is
Answer: a) 2:1. b) 3. c) Perimeter of ΔEFG=36 Perimeter of ΔHIJ=18. d) 2:1
Step-by-step explanation:
a) Find the ratio of GF and JI. 16:8. Simplify by dividing both by 8 to get 2:1.
b) Set up this equation: 6/16=x/8. Cross-multiply. 6*8=48. Divide by 16. 48/16=3.
c) First find the length of one half of GF by dividing 16 by 2. 16/2=8. Set up the Pythagorean theorem. 8^2+6^2=c^2. Square 8 and 6. 64+36=c^2. Add 64 and 36. 100=c^2. Find the square root of 100. c=10.
EF and EG both measure 10 since they are shown to be congruent. 10+10+16=36.
Next find the length of one half of JI by dividing 8 by 2. 8/2=4. Set up the Pythagorean theorem. Since we know x=3, it will be 4^2+3^2=c^2. Square both 4 and 3. 16+9=c^2. Add 16 and 9. 25=c^2. Find the square root of 25. c=5.
HJ and HI both measure 5 since they are congruent. 5+5+8=18.
d) Find the ratio of the perimeters of ΔEFG and ΔHIJ. 36:18. Simplify by dividing both by 6 to get 6:3. Simplify further by dividing both by 3 to get 2:1.
