Answer:
3.) 0.894
Step-by-step explanation:
✔️First, find BD using Pythagorean Theorem:
BD² = BC² - DC²
BC = 17.89
DC = 16
Plug in the values
BD² = 17.89² - 16²
BD² = 64.0521
BD = √64.0521
BD = 8.0 (nearest tenth)
✔️Next, find AD using the right triangle altitude theorem:
BD = √(AD*DC)
Plug in the values into the equation
8 = √(AD*16)
Square both sides
8² = AD*16
64 = AD*16
Divide both sides by 16
4 = AD
AD = 4
✔️Find AB using Pythagorean Theorem:
AB = √(BD² + AD²)
AB = √(8² + 4²)
AB = √(64 + 16)
AB = √(80)
AB = 8.9 (nearest tenth)
✔️Find sin x using trigonometric ratio formula:
Reference angle = x
Opposite side = BD = 8
Hypotenuse = AB = 8.944
Thus:
(nearest thousandth)
Answer:
x = 37.5
Step-by-step explanation:
By Basic Proportionality Theorem:

There is no solution since they are both adding $10 to their accounts every week.
Answer:
61 - 10x
2k
42 / 6 = 7
38 + 2m
3y - 6
Step-by-step explanation:
A. Sixty-one diminished by ten x
= 61 - 10x
B. The product of twice a number k
= 2 * k
= 2k
C. The quotient of forty-two and six is seven
42 / 6 = 7
D. Twice the total of nineteen and a number m.
= 2(19 + m)
= 38 + 2m
E. Six less than 3 times y
3y - 6
Answer:
424 grams for the small one and 510 grams for the big one.
Step-by-step explanation:
Nice profile picture.