Answer:
Step-by-step explanation:
Surface area is finding the area of each face and adding them up. So a cube will have 6 faces, each of them a square. So find the area of one face and you can just add it 6 times. If the faces are not all the same you have to find them seperately. I won't do all of your questions, but let me know if you need help with a specific one
1) there are two trianglular faces and three rectangular ones. The triangles are the same so let's do those. They have the base and height of 4 and 3, so area of both will be .5*4*3 = 6, so together that makes 12. now the three rectangular sides. Right away you can see there is a 3 by 10 one and a 4 by 10 one. These ahve areas of 30 and 40 respectfully. The final face has one length of 10 but the last one is actually the last side of the right triangle faces. Use the Pythagorean theorem to find it, it word out to be 5. So now we know the last face is 10 by 5 which means an area of 50. So let's add them all together. 5 faces total with areas of 30, 40, 50, 6 and 6. Adding them together makes 136.
If you don't get how I did any of that let me know. In general it's a good idea to mark every face and then find what their sides are. I'd be happy to help with specific problems.
Now the second part, again I will do the second one because cones are little less intuitive. a cone has two faces, the circular base and the actual cone shape. the surface area of the cone shape is pi*r*L where r is the radius of the base and L is the length of one of the slanted sides. Now, let's find the area of the two faces. Area of a circle is pi*r^2 so that's pi*4^2 = 16*pi in number 2. Then the area of the cone part is pi*r*L = pi*4*14 = 56*pi. now we sum all the areas of the faces up and get 16*pi + 56*pi = 72*pi.
Again, I'm happy to answer specific questions, so let me know if you have any. just keep in mind what I told you so far, find each face, then find each face's area then sum them up. For cylinders the tubes turn into rectangles where one side is the length of the tube and the other is the circumference, while cones fave two faces, the circular base and the cone shape itself with an area of pi*r*L. if you want me to check your answers I will totally do that too.
Answer:
It is 5/5 or 1/1 as it goes up 5 and to the left 5!!!
Hi there!
The problem statement describes the dimensions. The base length is 15 ft; the height is 10 ft.
The area of a parallelogram is the product of base length and height, just as it is for a rectangle.
A = bh
A = (15 ft)(10 ft) = 150 ft²
Mr Morris should purchase 150 ft² of material.
_____
If you compare the area to a 15 ft by 10 ft rectangle, you see the "excess" triangle at the left end just matches the "missing" triangle at the right end. The A=bh formula still works even if the top and base are offset by more than the width of the base.
~SharkieOwO~
Answer: Choice B
Coffee Brand A is a better buy because its unit rate is $0.44 per ounce
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Explanation:
Brand A is sold for $6.99 per pound, which is the same as saying $6.99 per 16 ounces. The unit rate is 6.99/16 = 0.436875 = 0.44 dollars per ounce
Brand B is sold for $5.69 for 12 ounces. The unit rate is 5.69/12 = 0.47416 = 0.47 dollars per ounce
Brand A is cheaper per ounce compared to brand B.
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Here's another way we can look at it
Brand A is $6.99 per 16 ounces. We can set up the equation below
6.99 dollars = 16 ounces
then divide both sides by 16 to turn "16 ounces" into "1 ounce"
So,
6.99 dollars = 16 ounces
6.99/16 dollars = 16/16 ounces
0.436875 dollars = 1 ounce
0.44 dollars = 1 ounce
is the unit rate for brand A.
Similar steps would happen with brand B as well.
Answer:
.758 or 163/215
Step-by-step explanation:
Conditional probablity formula:
(A|B)= (A∩B)/B
we have
.652/.86
this equals .758 or 163/215
