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scoray [572]
2 years ago
15

Find a single expression that represents the surface area of the rectangular prism

Mathematics
1 answer:
densk [106]2 years ago
7 0
2(L * W) + 2(L * H) + 2(W * H) = surface area
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A cone has radius 9 and height 12. A frustum of this cone has height 4.
Rom4ik [11]

The radii of the frustrum bases is 12

Step-by-step explanation:

In the figure attached below, ABC represents the cone cross-section while the BCDE represents frustum cross-section

As given in the figure radius and height of the cone are 9 and 12 respectively

Similarly, the height of the frustum is 4

Hence the height of the complete cone= 4+12= 16 (height of frustum+ height of cone)

We can see that ΔABC is similar to ΔADE

Using the similarity theorem

AC/AE=BC/DE

Substituting the values  

12/16=9/DE

∴ DE= 16*9/12= 12

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3 0
3 years ago
Two beach rental companies compared their sales from last weekend. Both companies rent out jet skis and kayaks, and they charge
nignag [31]

Answer:

To rent a jet ski you need to pay $50 and to rent a kayak you need to pay $20

Step-by-step explanation:

Since both shops charge the same amount for each kind of vehicle, we will assign variables to the their cost. The cost of a jet ski will be "x" and the cost of the kayak will be "y". Therefore we can create a system of equations as shown below:

Will's shop:

12*x + 9*y = 780

Fun Rentals:

7*x + 11*y = 570

\left \{ {{12x+ 9y=780} \atop {7x + 11y =570}} \right.\\

We can isolate "x" on the second equation, we have:

x = \frac{570 - 11y}{7}

Applying this value on the first equation:

12[\frac{570 - 11y}{7}] + 9y = 780\\\frac{6840 - 132y}{7} + 9y = 780\\\frac{6840 - 132y + 63y}{7} = 780\\ 6840 - 132y + 63y = 5460\\6840 - 69y = 5460\\69y = 1380\\y = 20

Applying the value of "y" we found on the "x" equation above, we have:x = \frac{570 - 11*20}{7}\\x = 50\\

Therefore to rent a jet ski you need to pay $50 and to rent a kayak you need to pay $20

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3 years ago
Help please? Geometry work
Marrrta [24]
I know it!!! just wait so i can finsih expaimning it
im smart
7 0
3 years ago
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