Answer:
A
Step-by-step explanation:
Sine 40 = 5 / hypotenuse
0.64279 = 5 / hypotenuse
hypotenuse = 5 / 0.64279
<span><span>hypotenuse = 7.7786
</span>tangent (50) = opp / adj
</span><span>tangent (50) = opposite / 5
1.1918 * 5 = </span><span>opposite</span>
opposite side = 5.959
She was driving an average of 51 mph.
Answer:
Step-by-step explanation:
From the table you can see that
- 45 customers own cat and dog;
- 78 own only cat, then 78+45=123 customers own cat;
- 125 own only dog, then 125+45=170 customers own dog;
- 52 own neither cat, nor dog;
- 78+45+125+52=300 customers in total;
- 300-123=177 customers do not own cat;
- 300-170=130 customers do not own dog.
Two-way table is
Answer:
The price where the manufacture sells the maximum number of toys is $20
Step-by-step explanation:
The given equation for that represents the number of toys the manufacturer can sell is given as follows;
T = -4·p² + 160·p - 305
Where;
p = The price of the toys in dollars
At the point where the manufacture sells the maxim number of toys on the graph of the equation T = -4·p² + 160·p - 305, which is the top of the graph, the slope = 0
Therefore, at the maximum point;
The slope = 0 = dT/dp = d(-4·p² + 160·p - 305)/dp = -8·p + 160
∴ -8·p + 160 = 0
160 = 8·p
8·p = 160
p = 160/8 = 20
The price where the manufacture sells the maximum number of toys is = p = 20 dollars