Giving brainlyest to the person with the correct answer :)

Carson needs to select one of the following designs that meet his volume requirement, using the least amount of sheet metal which is the first option. Rectangular prism with dimensions of 8 in, 8 in., and 5 in.

Suppose that the right rectangular prism in consideration be having its dimensions as 'a' units, 'b' units, and 'c' units, then its volume is given as:

[tex]V = a\times b \times c \: \: unit^3[/tex]

Carson needs to build a closed container out of sheet metal but needs to minimize the amount of sheet metal used.

The volume of Carson's container needs to be approximately 320 cubic Inches.

Carson needs to select one of the following designs that meets his volume requirement, using the least amount of sheet metal.

If we consider the Rectangular prism with dimensions of 8 inches (in.), 8 in., and 5 in.

Then the volume would be

[tex]V = 8 \times 8 \times 5\\\\V = 320[/tex]

This satisfies the given volume so it could be the correct answer.

Learn more about the volume of a right rectangular prism here:

https://brainly.com/question/21308574

#SPJ1

Answer:

y = 6

x = -16

Step-by-step explanation:

[tex]\left \{ {{x + 4y = 8} \atop {3x + 8y = 0}} \right.[/tex]

[tex]x + 4y = 8\\ - 4y -4y\\x = 8 - 4y\\substitution\\3(8 - 4y) + 8y = 0\\ 24 - 4y = 0\\-24 -24\\-4y = -24\\\frac{-4x}{-4} = \frac{-24}{-4}\\y = 6 \\plug \\x = 8 - 4y\\x = 8 - 4(6)\\x = -16\\y = 6, x = -16[/tex]

Answer:

x^2 - 10x + 25

Step-by-step explanation:

(x-5) (x-5)

= x^2-10x+25

Answer:

Step-by-step explanation:

[tex]\text{Formula for the area of a square:}[/tex]

[tex]\text{Given}[/tex]:

[tex]\text{Solving}[/tex]:

Answer:

is it 6?! eu n sei a pergunta

Answer:

-x² - 10x -21 = 0

x² +10x +21 = 0

x² + 7x + 3x + 21 = 0

x ( x+7) + 3 (x+7) = 0

(x+3) (x+7) = 0

when (x+3) = 0,

   x = -3

Again,

(x+7) = 0

x = -7

Answer:

7 and 3

Step-by-step explanation:

-b +/- sqrt(b^2+4ac)/2a

10 +/- sqrt(100-84)/2

10 +/- 4/2

7 and 3

Step-by-step explanation:

So, we can find the points to graph by looking at the table. The left column is where we find our x-values and the right column is where we find the y-values. We get the points (1, 3), (3, 9), (5, 15), and (6, 18). I added a picture showing where to plot these and hope it helps!!

Answer:

18.5 about

Step-by-step explanation:

2[tex]\pi[/tex]r

2[tex]\pi[/tex]3

= about 18.5

Answer:

circumference=2πr

2× 22/7×3=18.85

Answer:

36

Step-by-step explanation:

18*2 = 36

Answer:

Here is the answer...hope it helps

Answer:

$ 157838.60  in 5 years

Step-by-step explanation:

r = 1.06

sum of geometric seq =  a1 ( 1-r^n)/(1-r)    n = 5

                                        28000 ( 1 - 1.06^5) / ( 1-1.06) = 157838.60

we should use the formula volume=ab×hsquare

The correct answer is 487.5[tex]in^3[/tex]

The dimension of the prism given are 5in , 5 in , 13in

We need to find the volume of the loaf of the bread

So ,

The volume of rectangular prism is  Length x width x height

V1 = 5*5*13

∴ V1 = 325[tex]in^3[/tex]

The volume of half a right cylinder

V2= ([tex]\frac{1}{2}\pi r^{2}h[/tex])

∴ V2 = ([tex]\frac{1}{2}*(5)^{2}* 13[/tex])

∴ V2= 162.5  [tex]in^3[/tex]

∴ Volume of loaf of bread is V = V1+V2

∴ V = 325+162.5

∴V = 487.5[tex]in^3[/tex]

Learn more about Rectangular prism here

https://brainly.com/question/26265930

#SPJ2

Answer:

A. the city's park

Step-by-step explanation:

It would be the park, because many people of different genders and ages go there, and it would be unbiased, since is not just a certain age or  gender of people who go there.

Answer:

x=20

Step-by-step explanation:

Complementary angles add up to 90 degrees.

Therefore, 30 + 3x = 90

3x=60

x=20

Answer:

Adam's height - Mark's height  =

[10 - 100tan (2.3)]  - [10 - 100tan(2.6) ]   =

≈ [5.96ft   -  5.46 ft]   =

≈ .50  ft    .....    and Adam is ≈  6 inches taller

Step-by-step explanation:

Adam's height - Mark's height  =

[10 - 100tan (2.3)]  - [10 - 100tan(2.6) ]   =

≈ [5.96ft   -  5.46 ft]   =

≈ .50  ft    .....    and Adam is ≈  6 inches taller

Answer:

(1,1), (2, 1/4), (3, 1/9), (4, 1/16)

Step-by-step explanation:

(1,1/2)(2, 1/4), (3, 1/9), (4, 1/16) are the ordered pairs which could be generated by an exponential function.

A relation is a function if it has only One y-value for each x-value.

An exponential function is a Mathematical function in the form f (x) = aˣ, where “x” is a variable and

a is a constant which is called the base of the function and it should be greater than 0.

We have to find the  set of ordered pairs could be generated by an exponential function.

(1,1/2)(2, 1/4), (3, 1/9), (4, 1/16) represents the exponential function.

y=1/2ˣ

y=2⁻ˣ

Hence, (1,1/2)(2, 1/4), (3, 1/9), (4, 1/16) are the ordered pairs which could be generated by an exponential function.

To learn more on Functions click:

https://brainly.com/question/21145944

#SPJ5

Step-by-step explanation:

4/10 is 4 away from 0 (not counting the zero but if you did is 5 away from 0) 7/10 is 3 away from 4/10 and 2/10 is 2 behind 4/10

Answer:

-1

Step-by-step explanation:

when the points are placed on a graph correctly, you would have to go down 6 and over 6; rise over run would make that -6/6 which is equal to -1

Answer

(7*x) -5

Step-by-step explanation:

Answer:

7977.5

Step-by-step explanation:

.10 times 79775 =7977.5

Answer:

[tex]- a^{3} b^{2} c^{2} - a^{2} b^{3} c^{2}+ a ^{2} b^{2} c^{3}[/tex]

Step-by-step explanation:

branliest pls

Answer:

7200

Step-by-step explanation:

It is above 7150+

So the nearest hundred of 7190 will be,

→ 7190 ≈ 7200

→ 7200

Thus, the nearest hundred is 7200.

7,200

Rounding Rules :

If the number you are rounding is followed by a number less than 5 , you round down .

If the number you are rounding is followed by a number greater than  or equal to 5 , you round up .

Here we're asked to round [tex]\mathtt{7,190}[/tex] to the nearest hundredth .

The number we're rounding is followed by a number greater than 5 , so we round up :

7,190 ---> 7,200

7,200

[tex]\small\text{hope\:helpful~}[/tex]

Answer:

1/557

Step-by-step explanation:

The scale factor on a map is the ratio of one unit to the distance that unit measures!

Answer:

a:90 b:90 c:42 d:48 e:132

Step-by-step explanation:

assuming the picture is accurate^^^

a = 90°

b = 90°

c = 42°

d = 48°

e = 132°

Step-by-step explanation:

Here as you can see c and 132° is vertically opposite to each other so it can be name as vertically opposite angle....

e = 132°

Now....

here c and d are supplementary angle...

c + d = 180°

132° + d = 180°

d = 180° - 132°

d = 48°

Now...

b = 90° ( being vertically opposite angle )

Here a and b are supplementary angle ....

a + b = 180°

a = 180° - 90°

a = 90°

Now...

c + 138° = 180° ( supplementary angle )

c = 180° - 138°

c = 42°..

[tex]...[/tex]

Using the slope concept, it is found that the base of the mirror will be 1.75 feet from the wall.

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

In this problem, the vertical change is of 7 ft, with an angle of 76º, and the distance is the horizontal distance, hence:

tan(76º) = 7/d

d = 7/tan(76º)

d = 1.75.

More can be learned about the slope concept at https://brainly.com/question/18090623

#SPJ1

Answer:

Step-by-step explanation:

Answer:

i would say no

Step-by-step explanation:

Between any two distinct integers not necessary to be one integer.

Hope This Helped

Answer:

20

Step-by-step explanation:

x^2 + 6x - 91 = 0

or, x^2 + 13x - 7x -91=0

or, x(x-13) -7(x-13) =0

or, (x-13)(x-7)= 0

either,

x-13=0 ==> X= 13

x-7=0 ==> X = 7

The sum of all positive values of x such that x² + 6x - 91 = 0 is 20

A quadratic equation is a second-order polynomial equation in a single variable x , ax2+bx+c=0. with a ≠ 0 .

The given equation is x² + 6x - 91 = 0

x²  + 13x - 7x -91=0

Take common terms

x(x-13) -7(x-13) =0

(x-13)(x-7)= 0

x-13=0

x= 13 and

x-7=0

x= 7

The two positive numbers are 13 and 7.

The sum of all positive values is 13 +7 = 20

Hence, the sum of all positive values of x such that x² + 6x - 91 = 0 is 20

To learn more on Quadratic equation click:

https://brainly.com/question/17177510

#SPJ2

The domain is ={-3, -1, 5} for the given function f(x) = 2x  -  3.

The domain of the function is defined as the set of the numbers we are allowed to put in the function while the range is the assumed data put in the function.

Given function:-

f(x)  =  2x   -   3

The domain will be C={-3, -1, 5}

The range can be any random value which we can put in the function.

Read more about function domain and range at:

brainly.com/question/10197594

#SPJ1

Answer:

Step-by-step explanation:

The solution of each question is self-explanatory.

Used properties

Answer:

38°; 142°; 308°

Step-by-step explanation:

belive me