Answer:
Yes
Step-by-step explanation:
We don't even have to do a calculation.
The arch of the bridge is at point C.
The top of the yacht's mast is at E.
Even though the yacht is much closer to the water's edge, its mast has a much smaller angle of elevation.
The yacht can easily pass under the bridge.
Answer:
y=2/5x+4.8
Step-by-step explanation:
Proof
The surface area would be 26.5487 m².
The surface area of a cylinder is equal to the area of the circles at both ends, added to the area of the rectangular portion in the middle. The rectangle in the middle has a width equal to the circumference of the circle and a length equal to the height of the cylinder.
The circumference of a circle is given by C = πd, and the area of the circles is given by A=πr².
Since the height is in meters, we will convert it to cm. 3.5 m = 350 cm.
The diameter is 190 cm, so the radius is 190/2 = 95 cm.
This gives us:
SA = 3.14(190)(350)+2(3.14)(95)²
= 208810 + 56677 = 265487 cm² = 26.5487 m²
Answer:
Step-by-step explanation:
In point-slope form, our equation would be y - 9 = 2(x - 1). Expanding, we get y - 9 = 2x - 2. Solving for y, we obtain the form of the equation as shown in the problem: y = 2x + 7.
So, the numbers that would go in the blanks would be 2 and 7, respectively.
Answer: the number of item A that you sold is 11
the number of item B that you sold is 2
Step-by-step explanation:
Let x represent the number of item A that you sold.
Let y represent the number of item B that you sold.
The total number of item A and item B sold is 13. This means that
x + y = 13
The cost of item A is $8 and the
cost of item B is $4. The total amount if money made is $88. This means that
8x + 4y = 88 - - - - - - - - - -1
Substituting x = 13 - y into equation 1, it becomes
8(13 - y) + 4y = 88
104 - 8y = 88
8y = 104 - 88 = 16
y = 16/8 = 2
x = 13 - y = 13 - 2 = 11
