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spin [16.1K]
2 years ago
6

What is the surface of the triangluar prism shown below

Mathematics
1 answer:
Readme [11.4K]2 years ago
5 0

Answer: 36 ft^2

Step-by-step explanation: 4x3/2=6. 6x2=12. 3x2=6. 4x2=8. 5x2=10. 12+8+6+10=36

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Suppose the interval ​[negative 3−3​,negative 1−1​] is partitioned into nequals=44 subintervals. What is the subinterval length
Kobotan [32]

Answer: Δx​ = 0.5

Step-by-step explanation:

We have the interval:

​[−3​, −1​]

and we partition it into 4 equal intervals.

first, the range of our interval is equal to the difference between the extremes, this is:

-1 - (-3) = -1 + 3 = 2

Then, if we divide it into 4, we have 4 segments with a range of:

2/4 = 0.5

Then the subinterval delta is 0.5, and the 4 intervals are:

​[−3​, -2.5​],  ​[−2.5, −2​],  ​[−2​, −1.5​],  ​[−1.5, −1​]

6 0
3 years ago
Tank 1 initially contains 50 gals of water with 10 oz of salt in it, while tank 2 initially contains 20 gals of water with 15 oz
Naddik [55]
\dfrac{\mathrm dx_1}{\mathrm dt}=\dfrac{2\text{ oz}}{1\text{ gal}}\dfrac{5\text{ gal}}{1\text{ min}}-\dfrac{x_1(t)\text{ oz}}{50\text{ gal}}\dfrac{5\text{ gal}}{1\text{ min}}
\dfrac{\mathrm dx_2}{\mathrm dt}=\dfrac{x_1(t)\text{ oz}}{50\text{ gal}}\dfrac{5\text{ gal}}{1\text{ min}}-\dfrac{x_2(t)\text{ oz}}{20\text{ gal}}\dfrac{5\text{ gal}}{1\text{ min}}

\implies\begin{cases}\dfrac{\mathrm dx_1}{\mathrm dt}=10-\dfrac1{10}x_1\\\\\dfrac{\mathrm dx_2}{\mathrm dt}=\dfrac1{10}x_1-\dfrac14x_2\\\\x_1(0)=10\\\\x_2(0)=15\end{cases}
6 0
3 years ago
​% off. Find the sale price of each washing machine. Use pencil and paper. Explain why KareemKareem should buy the first washing
ExtremeBDS [4]
Not all info is here. what is the original cost and %off?
8 0
3 years ago
Logariths, please help​
Valentin [98]

Answer:

<em>{ - 2 , 8 } </em>

Step-by-step explanation:

log_{4} ( x² - 6x ) = 2

4² = ( x² - 6x )

x² - 6x - 16 = 0

- 6 = - 8 + 2

- 16 = - 8 * 2

( x - 8 )( x + 2 ) = 0 ⇒ x_{1} = - 2 , x_{2} = 8

<em>{ - 2 , 8 }</em>

3 0
2 years ago
Solve the equation for z <br>5z-8=32<br>A. z=4<br>B. z=4.8<br>C. z=6<br>D. z=8​
nadezda [96]

Answer:

Z=8 is the answer

Step-by-step explanation:

first, you add 8 to both sides which leaves you with 5z=40. then after that you divide both sides by 5 which leaves you with 5/5z = 40/5. then buy dividing 5 by 5 its leaves you with 1 which is equal to z because blank variables equal 1. On the other side if the equation 40 by 5 is 8 so that leaves you with z=8

5 0
2 years ago
Read 2 more answers
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