Answer:
perimeter = 28.13 cm
Step-by-step explanation:
Calculate the length of a line drawn from A to C.
sin 85 = b/8, b = 7.97
cos 85 = c/8, c = 0.697
AC² =7.97² + (6 + 0.697)² = 63.52 + 44.85 = 108.37
AC = 10.41
Now you have a right triangle ADC with a known hypotenuse and one leg.
Using the Pythagorean theorem:
DC² = 10.41² - 5²
DC² = 108.37 - 25 = 83.37
DC = 9.13 cm
perimeter = 5 + 6 + 8 + 9.13 = 28.13 cm
The correct answer should be C
Answer:the 57th term is 78
Step-by-step explanation:
The sequence is an arithmetic sequence. The formula for determining the nth term of an arithmetic sequence is expressed as
Tn = a + (n - 1)d
Where
a represents the first term of the sequence.
d represents the common difference.
n represents the number of terms in the sequence.
From the information given,
a = - 6
d =3/2
n = 57
We want to determine the value if the 57th term, T57. Therefore,
T57 = - 6 + (57 - 1) ×3/2
T57 = - 6 + 56 × 3/2 = - 6 + 84
T57 = 78
Answer:
y = 10
Step-by-step explanation:
4/5 y = 8
4/5 y * 5/4 = 8 * 5/4 multiply by reciprocal
y = 10
