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inessss [21]
4 years ago
10

A rectangular prism has a base that is 6 meters by 3.5 meters, and the prism is 9 meters high. What is the surface area of the p

rism?
Mathematics
1 answer:
galben [10]4 years ago
3 0

Answer:

213 m^2

Step-by-step explanation:

The surface area for a rectangle prism is given by

A=2(wl+hl+hw)

We know the base is 6 meters by 3.5 m  so l = 6 and width =3.5

The heigth is 9 m

A = 2 ( 6*3.5 + 9* 6 + 9* 3.5)

   = 2 * (21 +54 +31.5)

    = 2*(106.5)

    =213 m^2

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Answer:

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Step-by-step explanation:

In the form ...

  g(x) = a|x -h| +k

the parameters are ...

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The vertex of |x| is (0, 0). The vertex of g(x) is (0, -9), so there has been a vertical shift of -9 and no horizontal shift. The slopes of the lines on the graph of g(x) have a magnitude of 1, so the vertical scale is not changed from the original function (a=1).

Then the translated function is ...

  g(x) = |x| -9

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A country has two political parties, the Demonstrators and the Repudiators. Suppose that the national senate consists of 100 mem
IRISSAK [1]

Answer:

(a) 4.148 x 10^(12) ways

(b) 5,827,360 ways

Step-by-step explanation:

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Number of Repudiators (R) = 56

(a)

5 senate members must be Repudiators and 5 must be demonstrators, assuming that the order at which they are selected is irrelevant:

N= C^{D}_{5} * C^{R}_{5}\\N=\frac{56!}{5!(56-5)!} *\frac{44!}{5!(44-5)!} \\N=3,819,816*1,086,008\\N=4.148 *10^{12}

(b)

Since there are two different positions, (speaker and vice speaker), order is important in this situation, and the total number of ways to select two senators from each party is:

N= P^{D}_{2} * P^{R}_{2}\\N=\frac{56!}{(56-2)!} *\frac{44!}{(44-2)!} \\N=3,080*1,892\\N=5,827,360

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4 years ago
If the measure of 4 is equivalent to (2x-7) what is the value of x
mart [117]

Answer:

the value of x would be 5.5

Step-by-step explanation:

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