Answer:
$1.05
Step-by-step explanation:
The amount of money they should pay is 4.15+6.35+2*1.1+1.25 = $13.95
The change is 15-13.95=$1.05
Answer:
first option
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
m(x) = - 2 (x - 6)² + 18 ← is in vertex form
with vertex = (6, 18 )
In the step after -6x+10=4x+20, he moved the terms incorrectly. you have to add 6x to both sides so it would be 10=4x+6x+20 which simplifies to 10=10x+20. subtract 20 from both sides to get -10=10x. divide both sides by 10. the answer is x=-1
Answer:
C
Step-by-step explanation:
B can immediately be eliminated because it has an area of 14.
A and C have an area of 10.
So add the sides.
C:
4 + 4 + 1 + 1 + 2 + 2 + 1 + 3
= 18
A: 3 + 3 + 2 + 2 + 1 + 1 + 1 + 1 =
10 + 4 =
14
Answer:
48.1 m³ available, 2.5m³ not available
Step-by-step explanation:
Tan(X) = 4.5/(5.8+1.7)
Tan X = 3/5
Hypotenuse² = 3² + 5² = 34
Sin X = 3/sqrt(34)
X = 30.96
1/sinX = 1.7/SinY
Y = 61.003°
Third angle: 180 - X - Y = 88.037
Volume
= ½ × 1.7 × 1 × sin(88.038) × 3
= .
= 2.548
= 2.5m³
Available for storage:
½×4.5×7.5×3 - 2.548
= 48.077 = 48.1 m³
