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3 years ago

What is The lateral area of a right rectangular prism that has rectangular faces measuring 3” x 5” and a height of 6 feet

Mathematics

2 answers:

kotykmax [81]3 years ago

8 0

Answer: 1152 in²

Step-by-step explanation:

You can calculate the lateral area of a rectangular prism with the formula shown below:

$L=Ph$

Where P is the perimeter of the base and h is the height.

The formula for calculate the perimeter of the base is:

$P=2l+2w$

Then, the lateral area is:

$L=(2l+2w)h=(2*3in+2*5in)(72in)=1152in^{2}$

(1 in=12 ft, therefore 6ft=72 in)

lana66690 [7]3 years ago

8 0

Answer:

1152 square inches

Step-by-step explanation:

The lateral area of a a right rectangular prism is given by the equation;

Lateral area=(2l+2w)h where l is the length , 5 inches, w is the width of 3 inches and h is height of (6×12=72 inches).

Lateral area= (2×5 + 2×3) × 72

=(16)× 72

=1152 square inches

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A furniture shop refinishes chairs. Employees use two methods to refinish chairs. Method I takes 0.5 hours and the material cost

sveta [45]

Answer:

With Method I, they should plan to refinish 92 chairs and with Method II they should plan to refinish 70 chairs.

Step-by-step explanation:

This problem can be solved by means of a system of equations, that is to say a system that in this case will contain 2 linear equations with two variables: "x" and "y".

First you must define what your variables x and y are:

x: Chairs refinished by method I.
y: Chairs refinished by method II.

On the one hand, you know that between method I and method II they plan to work 151 hours. In method I, each chair takes 0.5 hours of work, this means that to obtain the total amount of time it takes to work in the "x" chairs by this method, 0.5 must be multiplied by the number of chairs. You can apply the same reasoning to calculate the total amount of time it takes to work on the "y" chairs by method II knowing that each chair takes 1.5 hours. Everything said above is represented by the equation:

 $\frac{1}{2} *x+\frac{3}{2} *y=151$ Equation (A)

In the equation the values 0.5 and 1.5 are represented in the form of a fraction (1/2 and 3/2 respectively) to be able to solve more in a way how the system of equations.

On the other hand, to state the other equation of the system, it must be taken into account that by method I the material costs $ 9 for each chair and by method II the material costs $ 7 for each chair. To determine the value of the material in each method, multiply the value of each chair by the amount of chairs refinished in each case. And the sum of the value of the materials of both methods must be $ 1318. This is represented by the equation:

9*x+7*y=1318 Equation (B)

Having both equations, you can solve the system. There are several methods to solve it, but one of the easiest and most widely used methods is substitution. This consists of isolating one of the variables from one of the equations and replacing it in the other equation.

In this case you can choose to isolate the variable x from equation B, resulting in:

$x=\frac{1318}{9} -\frac{7}{9} *y$ Equation (C)

It is always preferable to work in fractions for convenience to solve the calculations.

Now you replace the expression obtained from x in equation A, obtaining:

$\frac{1}{2} *(\frac{1318}{9} -\frac{7}{9} *y)+\frac{3}{2} =151$

Now you have an equation with a variable, "y", which can be solved, that is, you can get the value of "y". So "y"=70

Remembering that the variable "y" is the number of chairs refinished by method II, the value of "y" means that 70 chairs by that method were refinished.

To calculate the value of "x", you simply replace the value of "y" in either of the two equations (A) or (B) of the system and solve the equation. Or you can replace the value of "y" in equation (C): Either way the result must be the same: "x"=92

Remembering that the variable "x" is the number of chairs refinished by method I, the value of "x" means that 92 chairs by that method were refinished.

6 0

3 years ago

Please help ASAP will give brainlist.

melisa1 [442]

144+64= 178

$\sqrt{178 } = 13.3$

a^2+b^2= c^2

Whenever finding a missing length use the formula up above :

a^2+b^2= c^2

a^2-b^2= c^2

144-64= 80

$\sqrt{80} = \sqrt{16 } \times \sqrt{5} = 4 \sqrt{5} = 8.9$

Answers are 13.3 and 8.9

6 0

3 years ago

Which ordered pair is a solution to the following:

nata0808 [166]

Answer:

Option B: Only (-2, 9)

Step-by-step explanation:

Given the linear equation, y = -2x + 5:

We'll plug in the given options to see which of the ordered pairs will satisfy the equation:

Substitute option A: (2, -9) into the equation:

y = -2x + 5

-9 = -2(2) + 5

-9 = -4 + 5

-9 = 1 (False statement). Therefore, (2, -9) is not a solution.

Substitute option B: (-2, 9) into the equation:

y = -2x + 5

9 = -2(-2) + 5

9 = 4 + 5

9 = 9 (True statement). Therefore, the ordered pair, (-2, 9) is a solution.

The other two options are irrelevant at this point since we've proven that option B is the correct answer.

Please mark my answers as the Brainliest if you find my explanations helpful :)

4 0

3 years ago

50 POINTS!!!! Make a box and whisker plot of the data See photo

lara [203]

Let's try it just using test taking skills first, without really knowing anything about what these plots are.

All have a minimum of 13 and a max of 29 so those don't help.

Three have a left box edge of 14.5, one 12.8 or so. The correct answer is probably 14.5.

Three have a median of 19.5, one of 20.5, so 19.5 is probably right.

Similarly 23.5 is the most common right box edge.

So we're looking for the plot with 13/14.5/19.5/23.5/29, which is the first choice.

----

Instead of Einsteining the test, lets review the material. A box and whiskers plot shows the min and max (whisker ends), the 25th and 75th percentiles (box ends) and the 50th percentile, the median, which is the dot in the middle.

Let's start by sorting the 8 data points:

11 13 16 18 21 23 24 29

The minimum is 11 and the maximum is 29. All the charts agree on this.

The median is the middle, which is the average of 18 and 21, so

median = 19.5

That rules out the one selected, it can't be the third one.

The 25th percentile basically the median of the first four numbers, so the average of 13 and 16,

25th percentile = 14.5

The 75th percentile is similarly the average of 23 and 24

75th percentile 23.5

Examining the choices we find our

Answer: first choice

5 0

4 years ago

What is the HCF of 4,8 and 20

sveticcg [70]

The HCF of 4,8 and 20 is 4

3 0

3 years ago

Read 2 more answers