PLEASE HELP!! What is the surface area of the right prism given below?
A. 1200 units2
B. 350 units2
c. 600 units2
D. 520 units2

Answer:

B., C., D., E., and F.,

Step-by-step explanation:

They all need exponents by a 10

Answer:

1= 145°

Step-by-step explanation:

80° + 65°= 145

180 - 145 = 35

180- 35 = 145

Answer:

The answer is 145°

Answer:

3 and 10

Explanation:

5 * 3 is 15 and 5 + 10 is 15.

Answer: Triangle 1 = 30 m2

Triangle 2 = 15 cm2

Step-by-step explanation:

Triangle area formula = 1/2 x base x height

Area1 = 1/2 x 10 x 6

= 30

Area2 = 1/2 x 6 x 5

= 15

Answer:

The area of the triangle is 15 cm and rectangle is 30 or 60

Step-by-step explanation:

Answer:

1408

Step-by-step explanation:

Answer:

1,408 cm³.

Step-by-step explanation:

To find the volume of a rectangular prism, or in this case, a rectangular box, multiply the length, width, and height.

[tex]4*8*44=1,408 in^3.[/tex]

Therefore, the volume of the rectangular box is 1,408 cm³.

Answer:

28.51 cubic units

Step-by-step explanation:

From the given information;

The surface area is 56 and not 5656

Let assume that:

the length of the base = a &

the height of the box = h

∴

The volume of the box = a²h &

The surface area (A) = 2a² + 4ah

A = 2a² + 4ah

56 = 2a² + 4ah

56 - 2a²  = 4ah

[tex]h = \dfrac{56-2a^2}{4a}[/tex]

The volume (V) = a²h

[tex]V = a^ 2( \dfrac{56-2a^2}{4a}) \\ \\ V = \dfrac{56a -2a^3}{4} \\ \\ V = \dfrac{2a(28- a^2)}{4} \\ \\ V = \dfrac{(28-a^2)a}{2}[/tex]

Taking the maximum of this function by assuming v = [0, [tex]\sqrt{8}[/tex]]

[tex]V = \dfrac{a(28-a^2)}{2}[/tex]

[tex]V(0) = \dfrac{0(28-0^2)}{2}=0[/tex]

[tex]V(\sqrt{8}) = \dfrac{\sqrt{8}(28-(\sqrt{8})^2)}{2} \\ \\ \implies \sqrt{8} \dfrac{(28-8)} {2} \\ \\ = 10 \sqrt{8}[/tex]

For the critical point V' = 0

[tex]V = \dfrac{a(28-a^2)}{2} \\ \\ V = \dfrac{28a}{2}- \dfrac{a^3}{a} \\ \\ V = 14 a - \dfrac{a^3}{2} \\ \\ V' = 14 - \dfrac{3a^2}{2} \\ \\ 0 = 14 - \dfrac{3a^2}{2} \\ \\ 14 =\dfrac{3a^2}{2}\\ \\ a^2 = 14 \times \dfrac{2}{3} \\ \\ a^2 = \dfrac{28}{3} \\ \\ a = \sqrt{\dfrac{28}{3}} \\ \\ a = \sqrt{9.333} \\ \\ a = 3.055[/tex]

Thus, side of the base (a) = 3.055 units

Recall that:

height  [tex]h = \dfrac{56-2a^2}{4a}[/tex]

[tex]h = \dfrac{56-2(3.055)^2}{4(3.055)}[/tex]

h = 3.0551 units

The maximum volume now = a²h

= (3.055)²(3.0551)

= (9.333)(3.0551)

= 28.51 cubic units

Answer:

x ( side of the square base) = 43,42  ul

h = ( the height f the box ) = 0,17 ul

Step-by-step explanation:

V = Ab * h    where   Ab  is an area of the base and h is the height of the box

as is this case s a square base box then  Ab = x²    ( s the side of the square.

The surface area is ( box without lid): area of the base   x²  plus 4 lateral areas each one equal to  x*h

So   x² +  4 x*h = 5656   u²

Then    4*x*h  = 5656 - x²

h  =  5656 - x² )/ 4*x

V(x) = x² ( 5656  -  x²  )/ 4*x

V(x) = x ( 5656  - x² ) / 4

Tacking derivatives on both sides of the equation :

V´(x) = (1/4 ) * [ (5656 - x² ) - x *2*x]

V´(x) = (1/4 ) * ( 5656 - 3*x² )

v¨(x) = 0        (1/4 ) * ( 5656 - 3*x² ) = 0    3*x² = 5656

x² = 1885,33

x  = √ 1885,33

x  =  43,42  ul

And h  = 5656 - x² )/ 4*x

h  =  [( 5656 - (43,42)²] /4 * 5656

h  = 3770,70 / 22624

h  =  0,17 ul

Answer:

Choice D.

Step-by-step explanation:

In interval notation the domain is (-∞, -2) U (-2, 1) U (1, ∞)

Answer:

Let point's possessed by school A = x

and point possessed by School B = y

And the statement given Regarding the school are :

School X has eight more points than School Y. School X has three times as many points as School Y .

Writing these statements in terms of equation

1.   x = y + 8

2.  x = 3 y

Substituting the value of x in y, we get

3 y = y + 8

Taking variable on left side of equation

3 y - y = 8

2 y= 8

y =  

As , x= y + 8 gives x = 4 + 8 = 12

Point possessed by School A = 12 points

Points possessed by school B =  4 points

Step-by-step explanation:

x= 15/26 × 30 = 17.3

y= 26/15 × 16.5 = 28.6

Answer:

628.319 rounded= 628.3

Step-by-step

[tex]area = \pi \times {r}^{2} \\ area = 3.142 \times {6.1}^{2} \\ area = 3.142 \times 37.21 \\ area = 116.91 {mm}^{2} [/tex]

Answer:

y=7/4x+2

Step-by-step explanation:

The linear equation in the slope-intercept form will be y = (7/4)x + 13/4.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The linear equation is given below.

y − 5 = 7/4(x − 1)

Convert the equation into a slope-intercept form. Then we have

y − 5 = 7/4(x − 1)

y − 5 = (7/4)x − (7/4)

y = (7/4)x − (7/4) + 5

y = (7/4)x + 13/4

The linear equation in the slope-intercept form will be y = (7/4)x + 13/4.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ2

Answer:

7/8

Step-by-step explanation:

3.5833 is the answer to this question.

Answer:

A. The efficiency of management's use of assets to generate sales.

Step-by-step explanation:

The total asset turnover is calculated by dividing the sales to the assets. It measures the ability for a company so that in efficient way it would generate the sales.

By using the assets of the company, the company is able to generate the sales that could help the company for achieving the goals and objectives

Therefore according to the given situation, the a option is correct

Answer:

17.728

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

3x15 =45

The variable determines what needs to be multipleed.

Answer:

x = 15

Step-by-step explanation:

90 - 45 = 45

45/3 = 15

x = 15

Have a nice day!

Answer:

$35,640

Step-by-step explanation:

$55×6p×12d×9h=$35,640

Answer:

Zero, Never

Step-by-step explanation:

2 doesn’t equal 3 so it will never be true.

Answer:

36 cm

Step-by-step explanation:

Let's check

1in=2.54cm

9.5cm in inches

Step-by-step explanation:

So

9.5cm

Answer:

Step-by-step explanation:

your answer is 0.00011596

Answer:

The mean is 21.

The median is 21

There is no mode here.

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

All the steps are in the photo I attached

Answer:

32.4 liters

Step-by-step explanation:

Given that

There is 60 litres of fuel in the tank

After a long journey, 22% would fuel is left

The driver put another 30 liters and use 25% of the fuel

We need to find out how much fuel is now in the tank

Since 22% fuel is left i.e.

= 60 liters × 0.22

= 13.2 liters

He put another 30 liters

SO, now the total fuel available is

= 13.2 + 30

= 43.2 liters

It used 25% of the fuel that means 75% would remain left

So,

= 43.2 liters × 0.75

= 32.4 liters

Answer:

8.3 units

Step-by-step explanation:

Refer to the notations above, we can use Pythagoras Theorem to find the hypotenuse of the red triangle on the base of the prism.

The hypotenuse of the red triangle

[tex] = \sqrt{ {7}^{2} + {4}^{2} } [/tex]

[tex] = \sqrt{65} [/tex]

The hypotenuse of the red triangle is the common side of the yellow triangle's base.

d is equal to the hypotenuse of the yellow triangle.

The length of d

[tex] = \sqrt{ { \sqrt{65} }^{2} + {2}^{2} } [/tex]

[tex] = \sqrt{65 + 4} [/tex]

[tex] = \sqrt{69} [/tex]

[tex] = 8.30662...[/tex]

= 8.3 units

Answer:

8.3 units

Step-by-step explanation:

The probability of the player getting a hit is 0.214.

Step-by-step explanation:

Since we have given that Probability that a baseball player gets a hit if the weather is good 20d=40\%=0.4 Probability that a baseball player gets a hit if the weather is not t good=20\%=0.2 Probability of good weather =7\%=0.07 Probability of not 93\%=0.93 good weather =100-7= According to question, the probability of the player getting hit is given by 0.4 * 0.07 + 0.2 * 0.93; =0.214