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Pani-rosa [81]
2 years ago
11

Jimmy's cedar trunk is in the shape of a rectangular prism and has a volume of 3/4 cubic yard. How many cubic blocks with a side

length of 1/2 yard would Jimmy need to measure the volume of his trunk?
Mathematics
1 answer:
gizmo_the_mogwai [7]2 years ago
7 0

Answer: 6 blocks

Step-by-step explanation:

Given

Volume of the rectangular prism is V=\dfrac{3}{4}\ yd^3

Length of the cubic block is a=\dfrac{1}{2}\ yd

Volume of each cubic block is

\Rightarrow V_o=\left (\dfrac{1}{2}\right)^3\\\\\Rightarrow V_o=\dfrac{1}{8}\ yd^3

Suppose, n blocks are required to measure the volume of Prism

\Rightarrow V=nV_o\\\\\Rightarrow \dfrac{3}{4}=n\cdot \dfrac{1}{8}\\\\\Rightarrow n=\dfrac{3\times 8}{4}\\\\\Rightarrow n=6\ \text{blocks}

Thus, 6 blocks are required to measure the volume of prism.

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lutik1710 [3]
That would be 100 * sin 30 = 100 * 0.5 = 50 pounds
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2 years ago
Does anyone know the answer?
motikmotik

Answer:

We conclude that the area of the right triangle is:

A\:=p^2-2p-3

Hence, option A is correct.          

Step-by-step explanation:

From the given right-angled triangle,

  • Base = p+1
  • Perpendicular = 2p-6

Using the formula to determine the area of the right-angled triangle

Area of the right triangle A = 1/2 × Base × Perpendicular

                                            =\frac{1}{2}\left(p+1\right)\left(2p-6\right)

Factor 2p-6: 2(p-3)

                                             =\frac{\left(p+1\right)\times \:2\left(p-3\right)}{2}  

Divide the number: 2/2 = 1

                                              =\left(p+1\right)\left(p-3\right)

\mathrm{Apply\:FOIL\:method}:\quad \left(a+b\right)\left(c+d\right)=ac+ad+bc+bd

                                               =pp+p\left(-3\right)+1\cdot \:p+1\cdot \left(-3\right)

                                               =pp-3p+1\cdot \:p-1\cdot \:3

                                                =p^2-2p-3

Therefore, we conclude that the area of the right triangle is:

A\:=p^2-2p-3

Hence, option A is correct.                                        

3 0
3 years ago
In math class the girl to boy ratio is 8 to 6 if there are 24 girls in the class , how many boys are there ?
Volgvan

Answer:  The required number of boys in the class is 18.

Step-by-step explanation: Given that in math class, the girl to boy ratio is 8 to 6 and there are 24 girls in the class.

We are to find the number of boys in the class.

Let 8x and 6x represents the number of girls and boys in the class.

Then, according to the given information, we have

8x=24\\\\\Rightarrow x=\dfrac{24}{8}\\\\\Rightarrow x=3.

Therefore, the number of boys in the class is given by

6x=6\times3=18.

Thus, the required number of boys in the class is 18.

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