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Alchen [17]
3 years ago
10

Ray had a block of wood in the shape of a rectangular prism. The block and it's dimensions are shown below:

Mathematics
1 answer:
Mama L [17]3 years ago
4 0

Answer:

(a)\ Area = 24in^2

(b)\ Area = 60in^2

Step-by-step explanation:

Given

See attachment for the dimension of the block

Solving (a): Area of the front face

From the attachment, the front face has the following dimension.

Length = 4in

Width = 6in

The area is calculated as:

Area = Length *Width

Area = 4in * 6in

Area = 24in^2

Solving (b): Area of the top and bottom faces

The top and bottom faces have the same dimension

From the attachment, the top face has the following dimension.

Length = 5in

Width = 6in

The area of the top is calculated as:

Area = Length *Width

A_1 = 5in * 6in

A_1 = 30in^2

The area of the top and the bottom faces is:

Area = 2 *A_1 ---- because the top and bottom faces have the same dimension

Area = 2 *30in^2

Area = 60in^2

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In a batch of 500 calculators, 25 were found to be defective. What is the probability that a calculator chosen at random will be
baherus [9]

Answer: 5%

Step-by-step explanation:

Probability for any event = \dfrac{\text{Number of favorable outcomes}}{\text{total outcomes}}

Given: Number of defective calculators = 25

Total calculators = 500

The probability that a calculator chosen at random will be defective= \dfrac{25}{500}

=0.05

=0.05\times100\%\\\\= 5\%

Hence, the required probability = 5%

4 0
3 years ago
What is the order of the quadratic functions f(x)=−0.5x2,f(x)=14x2, and f(x)=x2 from the widest graph to the narrowest graph?
Irina18 [472]

Answer:

f(x) =  - 0.5 {x}^{2}  \to \: f(x) =  {x}^{2}  \to \: f(x) = 14 {x}^{2}

Step-by-step explanation:

The given quadratic functions are:

f(x) =  - 0.5 {x}^{2}

f(x) = 14 {x}^{2}

f(x) =  {x}^{2}

We want to order these functions, from the widest to the narrowest.

How wide the graph will open depends on the absolute value of the coefficient of the function.

The smaller the absolute value of the coefficient, the wider the graph.

Since

| - 0.5|   \: <  \:  |1|  \:  <  \: |4|

Therefore from the widest graph to the narrowest graph, we have:

f(x) =  - 0.5 {x}^{2}  \to \: f(x) =  {x}^{2}  \to \: f(x) = 14 {x}^{2}

7 0
3 years ago
A=1/2bh , solve for b
anygoal [31]
B= the base of the object
6 0
3 years ago
Read 2 more answers
I need help please!!!!!!
34kurt
25/300. the answer is 300 divided by 12 (sections) or 25. So 25/300

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Solve each inequality of -4x -2&lt;8
FromTheMoon [43]
<span>-4x -2<8
Add 2 to both sides
-4x<10
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Final Answer: x > -10/4 or -2 1/2 *Both answers are equivalent to each other.
</span>
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