Find the surface area of the rectangular prism

The surface area of the solid will be A=327.5 square inches and the lateral surface area will be A= 377.5 square inches.

The space occupied by any figure in the two-dimensional space is called an area. The area can be rectangular circular triangular types.

Here we have the figure made up by the two pyramids and one rectangular box. So we will find the surface area of the pyramid then the rectangular box and again the pyramid and will add all of them.

The Lateral surface area will be calculated as:-

A=2W√(w÷2)²+(h)²+w²

A=2x5√(5÷2)²+(3)²+5x5

A=152.5 +25

A=177.5 square inch

Area of lower pyramid= (1÷2)xbxh+w²

A=(1÷2)x5x7.5 + 25 =75+25= 100

Area of the rectangular box= 4(w²)=4(5x5)=100

So total lateral surface area will be =100+100+177.5=377.5 square inch

(2)The surface area will be calculated as:-

A=2W√(w÷2)²+(h)²

A=2x5√(5÷2)²+(3)²

A=152.5 square inches

Area of lower pyramid= (1÷2)xbxh

A=(1÷2)x5x7.5  =75 square inches

Area of the rectangular box= 4(w²)=4(5x5)=100

So total surface area will be =100+75+152.5=327.5 square inch

Hence the surface area of the solid will be A=327.5 square inches and the lateral surface area will be A= 377.5 square inches.

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Check the picture below.

so hmmm let's get the whole area of the rectangle, and then get the areas of those 3 triangles and subtract their area from that of the rectangle's, what's leftover is what we didn't subtract, namely, the white triangle.

[tex]\stackrel{\textit{\huge Areas}}{\stackrel{rectangle}{(3)(4)}~~ - ~~\stackrel{green~triangle}{\cfrac{1}{2}(2)(3)}~~ - ~~\stackrel{pink~triangle}{\cfrac{1}{2}(2)(2)}~~ - ~~\stackrel{yellow~triangle}{\cfrac{1}{2}(4)(1)}} \\\\\\ 12~~ - ~~3~~ - ~~2~~ - ~~2\implies 5[/tex]

Step 1 Divide all terms by a (the coefficient of x2). Step 2 Move the number term (c/a) to the right side of the equation. Step 3 Complete the square on the left side of the equation and balance this by adding the same value to the right side of the equation.

Answer:

A , C and D cannot be used to drwa a traingle

Step-by-step explanation:

Answer:

-9

Step-by-step explanation:

use an equation to solve this

consecutive means in succession, one after the other

since they're odd, both numbers have to be odd

let x be the first number

x+x+2=-20

+2 because if you only +1, one of the numbers would be even

2x+2=-20

-2. -2

2x=-22

x=-11

the smaller would be -9 since we are adding x and x+2 together

Answer:  the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.

Step-by-step explanation:

Answer:

this is how the Pythagorean theorem works a^2 + b^2 = c^2 I hope this helps have a great day bye!!! :D

Step-by-step explanation:

Answer:

I forgot to change pi into 3.14

Answer:

The term, "variability" describes how far apart data points lie from each other, and from the center of a distribution.

Along with measures of central tendency, measures of variability give you descriptive statistics that summarize your data.

Variability is also referred to as spread, scatter or dispersion.

Example:

The heights of students at Brainly varied from 4 feet and 6 inches tall to 6 feet and 3 inches tall. It varies 1 foot and 9 inches.

Answer: 256 miles

Step-by-step explanation:

if 1 1/4 inches = 80 miles, then 1/4 inch = 16 miles (there are five 1/4 in 1 1/4 inches, so 80/5 = 16)

there are sixteen 1/4 inches in 4 inches, and we know that each 1/4 inch is equal to 16 miles, so 16*16 = 256

Answer:

Your answer is A

y≤ 1/2x + 3

y≥ 1/2x - 4

Step-by-step explanation:

6.14 Checkpoint: Systems of Linear Inequalities

I took the test

Answer:

Which systems of inequalities does the graph show?

A

O y ≤ 1/2x + 3

   y ≥ 1/2x - 4

Step-by-step explanation:

You're welcome.

Answer:

[tex]\{-2,2\}[/tex]

Step-by-step explanation:

[tex]~~~~~~2|p| = 4\\\\\implies |p| = \dfrac 42\\\\\implies |p| = 2\\\\\implies p =\pm2[/tex]

Answer:

600 inches

The volume of the box is 600 because if we take the formula and substitute the numbers given, you are left with 600 inches.

Step-by-step explanation:

V = lwh

l = 10

W = 5

H = 12

10 × 5 × 12 = 600

Answer:

Slope=2

Step-by-step explanation:

Slope=rise/run

We can start at 2, 3 (you can start anywhere on the line)

Then go to 3, 5 (you can end anywhere on the line)

Rise=2

Run=1

2/1=2

Slope is 2. The uses up there were examples. It doesn't have to be the exact points.

Slope

Answer:

The slope of the line is 3 and the y-intercept is (3/2) three-halves.

Step-by-step explanation:

The data provided is:

X     Y

-1.0     -1.5

-0.5     0.0

0.0     1.5

0.5     3.0

The slope of the linear function is denoted by, b and the intercept is denoted by, a.

The formula to compute the slope and intercept are:

Compute the values required in Excel.

Compute the slope and intercept as follows:

Thus, the slope of the line is 3 and the y-intercept is (3/2) three-halves.

Answer:

x = 39

Step-by-step explanation:

We know that PRQ is a right triangle, so we use the pythagorean theorem to solve the problem. The theorem states that a^2 + b^2 = c^2. Let's assume that the length of RP is c, the length of PQ is a and x is b. We plug the lengths into the equation and solve it:

80^2 + x^2 = 89^2

6400 +x^2 = 7921

x^2 = 1521

x = [tex]\sqrt{1521}[/tex]

x = 39

Answer:

See below

Step-by-step explanation:

There are two feasible ways to place the turtle eggs.

Un dominio razonable para la función  f(d)  en el periodo de tiempo estudiado es:

Dominio de  f(d)  =  d  ∈  [0, 7]

Mientras que el intercepto con el eje f(d) ocurre en el valor 11 mm y representa el valor del radio del alga cuando se inició el experimento en el tiempo cero.

Explicación paso a paso:

Part A: When the biologist concluded her study, the radius of the algae was approximately 11.79 mm. What is a reasonable domain to plot the growth function?

De acuerdo con la gráfica anexa y el significado de las variables involucradas,  el dominio razonable para la función  f(d)  en el periodo de tiempo estudiado es:

Answer:

The average strand of hair is 25.4μm

Step-by-step explanation:

Diameter of dime is 2.985×10² times of diameter of human hair.

The correct option is B.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Given,

Diameter of dime = 17.91mm

Diameter of human hair = 6.0×10⁻²mm

Ratio of diameter of dime to diameter of human hair = 17.91/6.0×10⁻²

                                                                                        = 2.985×10²

Hence, 2.985×10² times of diameter of human hair is diameter of dime.

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The number of different ways by which can a group of 5 students be chosen from the 26 students is 65780.

Combination is the way of arrangement or the collection of items in the particular order. The order of this group of items does not matter in the combination type of arrangement.

The formula of combination is,

[tex]^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]

Here, n is the total number of items and r is the number of ways by which an item is chosen from the set.

26 students are in a classroom. The number of different ways can a group of 5 students be chosen are,

[tex]^26C_5=\dfrac{26!}{5!(26-5)!}\\^26C_5=\dfrac{26\times25\times24\times23\times22\times21!}{5!21!}\\^26C_5=\dfrac{26\times25\times24\times23\times22}{5\times4\times3\times2\times1}\\^26C_5=65780[/tex]

Thus, the number of different ways by which can a group of 5 students be chosen from the 26 students is 65780.

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[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's calculate the circumference ~

[tex]\qquad \sf  \dashrightarrow \: c = \pi d[/tex]

where,

now, plug in the values ~

[tex]\qquad \sf  \dashrightarrow \: c = 3.14 \times 4[/tex]

[tex]\qquad \sf  \dashrightarrow \: c = 12.56 \: \: m[/tex]

The circumference of the given circle.

[tex]c = 2 {\pi}r[/tex]

[tex]c = 2 \times 3.14 \times r[/tex]

[tex]c = 2 \times 3.14\times 2[/tex]

[tex]c = 12.56 \: m[/tex]

Hence, the circumference of the given circle is 12.56 meters.

Answer:

an answer is 4000

-12=14021

Step-by-step explanation:

branlist

Answer:

4000

-12=14021

Answer: Its D

Step-by-step explanation:

Answer:

 y=4.5

Step-by-step explanation:

2y+3=11

2y=11-3

2y=9

y= 4.5

Answer:

The answer is 18 pounds per bucket.

In this question, we are given the expression that relates the pounds of lobster to the number of buckets:

[tex]\displaystyle \frac{\text{450 pounds}}{\text{25 buckets}}[/tex]

This fraction is presented to give a proportion of pounds of lobster to the number of buckets these lobsters inhabit.

To solve this problem, we need to know exactly how this rate will work.

A rate is the same thing as a fraction, percentage, or decimal. All of these forms are convertible between one another.

For instance, if we took 25%, we know that by dividing this by 100, we receive a decimal form (0.25) or a fractional form (1/4).

We can apply the same principle here.

Part I - Set up the Rate

To solve, set up the rate:

[tex]\displaystyle \frac{450 \ \text{pounds}}{25 \ \text{buckets}}[/tex]

Part II - Find the GCF

Then, find the Greatest Common Factor (GCF) of the two digits:

Check for common factors between the two trees:

Since 25 is the greatest of the three factors, it is the GCF.

Part III - Apply the GCF

Divide both the numerator and the denominator by 25:

[tex]\displaystyle \frac{450}{25} = 18[/tex]

[tex]\displaystyle \frac{25}{25} = 1[/tex]

Part IV - Simplify

Set up the new fraction:

[tex]\displaystyle \frac{18}{1}[/tex]

Anything divided by 1 does not change:

[tex]\displaystyle \frac{18}{1} = 18[/tex]

Since we got 18 an answer, this means that there are 18 pounds of lobster per bucket.

Answer:

2,4

Step-by-step explanation:

This question is quite simple. First you need to find the factors of 8. Then you need to see which factors of positive 8 can add up to make -6. The factors are -4 and -2. Then expand. Now you have the equation x^2-4x-2x+8. Now group it.

(x^2-4x) +(-2x+8)

Then take out the X from the first group and the -2 from the second. We want the values in the brackets to be the same.

Now you have

x(x-4)-2(x-4)

Take the x and the -2x and make it a group. Now you have (x-4)(x-2)

Set x-4 equal to zero. x-4=0 Now solve it like a regular equation. Add four to both sides. Now you have x=4

Do the same thing with (x-2) and you get x=2

4 and 2 are your solutions

Answer:

x = 4 and x = 2

Step-by-step explanation:

The easiest way to find the roots is by converting the function into its factored form. This can be determined by asking the question:

What two numbers have a product 8 and a sum of -6?

These two values are -4 and -2.

-4 x -2 = 8

-4 + (-2) = -6

These two numbers are used in the factored form of the equation. You can prove the accuracy of the factored form by re-expanding it (multiply all the terms in the first parentheses by the terms in the second parentheses). The factored form looks like this:

(x - 4)(x - 2)

The roots are the values that make the expression equal 0. This can be done by setting each parentheses equal to 0 and solving for "x".

x - 4 = 0                              x - 2 = 0

x = 4                                    x = 2

Therefore, the roots of the function x² - 6x + 8 are x = 4 and x = 2.

Answer:

1.9

Step-by-step explanation:

r=C/2π

r-12.1/2π=1.9257...

Answer:

1.9 mm

Step-by-step explanation:

Circumference of circle = 2πr

             2πr = 12.1 mm

     [tex]\sf 2* \dfrac{22}{7}*r= 12.1\\\\[/tex]

                  [tex]\sf r = \dfrac{12.1*7}{2*22}\\\\[/tex]

                     = 1.925

                 [tex]\sf \boxed{radius =1.9 \ mm }[/tex]

Step-by-step explanation:

so, that means we want to find the time t (days) after which N = No/2

because "half-life" means the amount of time until half of the substance has disappeared (or transformed into something else).

so, we have

No/2 = No × e^(-0.1481×t)

No = 2× No × e^(-0.1481×t)

1 = 2×e^(‐0.1481×t)

1/2 = 0.5 = e^(-0.1481×t)

ln(0.5) = -0.1481×t

t = ln(0.5)/-0.1481 = 4.680264555... ≈ 4.7 days

Answer:

85 1/3

Step-by-step explanation:

All I did is multiply and got that.

I'm going to submit my finals, so hopefully it's not wrong. I don't think it's wrong though.

Answer:

Ganara $15000 si trabaja 50 horas.

Answer: 4 centimeters is the mode

Step-by-step explanation: Mode is the number that comes out the most, and 4 comes out 6 times, which is the most.