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Nikitich [7]
3 years ago
5

A rectangular prism has a volume of 378 cubic inches the area of the base is 42 square inches what is the height

Mathematics
1 answer:
barxatty [35]3 years ago
7 0

Answer:

9 inches.

Step-by-step explanation:

The formula for the volume of a rectangular prism is base x height.  So if the volume is 378, and the base is 42, you would use the equation 378/42 to find the height. 378/42 is 9.  Therefore, the height is 9 inches.

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4. Find the value of the expression below for r=4 and t=2.
Katen [24]

Answer:

(a) 9

Step-by-step explanation:

\sf t^3 - r + 20 \div  r

substitute r = 4, t = 2

\sf (2)^3 - 4 + 20 \div 4

simplify

\sf (2)^3 - 4 + 5

cubic of 2 is 8

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simplify

\sf 9

5 0
2 years ago
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expeople1 [14]

Answer:

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3 years ago
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Kaci bought a birthday cake like the one shown below. If a=5inches,b=5inches,c=10 inches, and d=3inches what is the volume of th
Gnom [1K]

Answer:

75+150=225 in^2

Step-by-step explanation:

Separate each layer.

Area1+Area2= Total area

A1= a*b*d

A2=a*c*d

A1=5*5*3=75 in^2

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7 0
3 years ago
Find the next 3 terms in the geometric sequence -36, 6, -1, 1/6, ...
timama [110]

we are given

geometric sequence -36, 6, -1, 1/6, ...

first term is -36

a_1=-36

now, we can find common ratio

r=\frac{6}{-36}

r=-\frac{1}{6}

now, we can find nth term

a_n=a_1(r)^{n-1}

now, we can plug values

and we get

a_n=36(-\frac{1}{6})^{n-1}

now, we can find 5th term , 6th term, 7th term

fifth term:

a_5=36(-\frac{1}{6})^{4}

a_5=\frac{1}{36}

sixth term:

a_6=36(-\frac{1}{6})^{5}

a_6=-\frac{1}{216}

seventh term:

a_7=36(-\frac{1}{6})^{6}

a_7=\frac{1}{1296}

so, next terms are

a_5=\frac{1}{36} , a_6=-\frac{1}{216}

, a_7=\frac{1}{1296}.............Answer

6 0
3 years ago
Find a polynomial function of degree 3 with 2, i, -i as zeros.
sergiy2304 [10]

Answer:

p(x)= x^3-2x^2+x-2

Step-by-step explanation:

Here we are given that a polynomial has zeros as 2 , i and -i . We need to find out the cubic polynomial . In general we know that if \alpha , \ \beta \ \& \ \gamma are the zeros of the cubic polynomial , then ,

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Here in place of the Greek letters , substitute 2,i and -i , we get ,

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Now multiply (x-i) and (x+i ) using the identity (a+b)(a-b)=a² - b² , we have ,

\sf  \longrightarrow p(x)= (x-2)\{ x^2 - (i)^2\}

Simplify using i = √-1 ,

\sf \longrightarrow p(x)= (x-2)( x^2 + 1 )

Multiply by distribution ,

\sf \longrightarrow p(x)= x(x^2+1) -2(x^2+1)

Simplify by opening the brackets ,

\sf\longrightarrow p(x)= x^3+x-2x^2-2

Rearrange ,

\sf\longrightarrow \underline{\boxed{\blue{\sf p(x)= x^3-2x^2+x-2}}}

4 0
2 years ago
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