Answer:
422 in.2
Step-by-step explanation:
Substitute the measurements of the rectangular prism into the formula SA = 2(lw) + 2 (lw) + 2(lh): 2(13)(7) + 2(6)(7) + 2(13)(6) = 422 in2.
Answer:
1) B = 66.5° c = 10.9
Step-by-step explanation:
I will do question one as an example. In general, for these questions you want to use the appropriate trigonometric ratios to solve for the variables and/or apply logic using rules regarding triangles. See attached image for all solving steps.
For side c, we can use Cosine of angle A for a ratio between 10 and c. When we write out the equation, we can solve for side c. So when we write it out, we get the equation:
cos23.5 = ¹⁰⁄c
c = ¹⁰⁄cos₂₃.₅
c = 10.9044 (make sure to round to the nearest tenth, which is one decimal place)
For angle B, since they have given two angles, you can solve for B since all angles of a triangle add up to 180 degrees.
So b = 180 - (90 + 23.5) = 180 - 113.5
b = 66.5
- It is also possible to solve this using sine of angle B and solve it from there, but applying the theory this way is much simpler. (this is on the image if you're curious about it)
I hope this helps you with the other 3 questions.
Answer:
the second one
Step-by-step explanation:
The probability of one head and one tail is 2/3.
<u>Step-by-step explanation</u>:
- The possibilities for flipping two fair coins are {T,T}, {H,H}, {H,T}, {T,H}
- Given the case that at least one coin lands on a head, So the total possibilities are {H,H}, {H,T}, {T,H} = 3 possibilities
- Required event is 1 head and 1 tail= {H,T}, {T,H} = 2 possibilities
To calculate the probability of one head and one tail,
Probability = required events / Total events
Probability = 2/3
The customer gives you:
-- a ticket worth . . . . . . 5
-- a ticket worth. . . . . . . 2
-- a bill. . . . . . . . . . . . 100
------------------------
-- Total. . . . . . . . . . . . 107
You give the customer:
-- gas worth . . . . . . . . 17.01
-- a ticket worth . . . . . . 5
-- two $1 tickets worth . 2
-- a ticket worth . . . . . . 3
------------------------------
-- Total . . . . . . . . . . . . 27.01
In order to make the trade even, you owe the customer
(107.00 - 27.01) = <em>$79.99 more
</em><em>
</em>You could give it to him in the form of some combination of magazines,
soda, cigarettes, gum, newspapers, motor oil, car deodorizers, candy
bars, washer fluid, anti-freeze, etc. But he'd be there all day trying to
decide what he wants and making it all add up to exactly $79.99, and
there's a long line of other customers waiting behind him.
That's the beauty of cash money. You can count out exactly the proper
amount, it only takes a few seconds and bada-bing, he's out of there and
back on the road.
