Answer:
It should be "there ARE 254 counties in texas..."
Step-by-step explanation:
N + d = 20 (there are a total of 20 nickels and dimes).05n + .1d = 1.4 (total change equals $1.40)
Answer:
2 -3 and 1
Step-by-step explanation:
Answer:
16 mm
Step-by-step explanation:
Since ABC is an equilateral triangle, all three sides are the same length. The perimeter is found by adding together all of these equal sides; letting x represent the length of a side of the triangle, this gives us
x + x + x = 96
Combining like terms,
3x = 96
Dividing both sides by 3,
3x/3 = 96/3
x = 32
Since AM is a perpendicular bisector, it splits BC into two congruent sections. This means the length of MC, half of BC, will be 32/2 = 16.
Answer:
A = 20°
AC = 6.6
BC = 2.4
Step-by-step explanation:
Given:
B = 70°
C = right angle = 90°
AB = 7
Required:
A, AC, and BC
Solution:
✔️A = 180 - (90 + 70) (sum of triangle)
A = 20°
✔️Use trigonometric function to find AC:
Refernce angle = 70°
Opp = AC
Hypotenuse = 7
Apply SOH,
sin 70 = Opp/Hyp
sin 70 = AC/7
7 * sin 70 = AC
6.57784835 = AC
AC = 6.6 (nearest tenth)
✔️Use trigonometric function to find Bc:
Refernce angle = 70°
Adj = BC
Hypotenuse = 7
Apply CAH,
cos 70 = Adj/Hyp
cos 70 = BC/7
7 * cos 70 = BC
2.394141 = BC
BC = 2.4 (nearest tenth)