what is the surface area of the rectangular prism

Answer:

The answer is below

Step-by-step explanation:

A linear function graph can be represented by:

y = mx + b; where m is the slope and b is the y intercept, x is the independent variable and y is the dependent variable.

a) From the graph we can see the graph passes through the point (0, 100) and (20, 400). Hence we can use the following formula to find the equation:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-100=\frac{400-100}{20-0}(x-0)\\\\y-100=15x\\\\y=15x + 100[/tex]

b) An example of real life linear function is the energy consumed per day in kWh. Let us assume 5 kWh is consumed each day by the person. Since the independent variable is the days, it would be on the x axis, while the dependent variable (energy consumed) would be on the y axis.

Answer:

The answer is 136.

Step-by-step explanation:

1) Remove parentheses.

[tex] - 8 \times ( - 10 - 7)[/tex]

2) Simplify -10 - 7 to -17.

[tex] - 8 \times - 17[/tex]

3) Simplify.

[tex]136[/tex]

Therefor, the answer is 136.

Answer:

[tex]Area = 287\ in^2[/tex]

Step-by-step explanation:

Given

[tex]Length = 20.5[/tex]

[tex]Space = 4.25[/tex]

[tex]Panels = 3[/tex]

See attachment

Required

The area of one panel

From the attachment, the total width is 50.5in.

i.e.

[tex]Total\ Width = 50.5[/tex]

Given that there are 2 spaces between the 3 panels and each space has a length of 4.25 in.

The reduced width is:

[tex]Reduced\ Width = 50.5 - 2 * 4.25[/tex]

[tex]Reduced\ Width = 42[/tex]

At this point, we can calculate the width of one panel by dividing the reduced width by the number of panels (3).

[tex]Width = \frac{42}{3}[/tex]

[tex]Width = 14[/tex]

The area of one is:

[tex]Area = Length * Width[/tex]

[tex]Area = 20.5 * 14[/tex]

[tex]Area = 287\ in^2[/tex]

Answer: 225 square feet

Step-by-step explanation:

We find the area of the 4 triangle and the area of the rectangle and thereafter we add everything together.

Area of triangle 1 = 1/2 base × height

= 1/2 × 12 × 8

=96/2

=48

Area of triangle 2 = area of triangle 1= 48( because the opposite triangle are congruent so they have equal base and height)

Area of triangle 3 = 1/2×base×height

= 1/2 × 6 ×9.5

= 57/2

=28.5

Area of triangle 4=Area of triangle 3 = 57 (the opposite triangle are congruent and so they have the same base and height hence the same area)

Area of the rectangle = length×breadth

=12 × 6 =72

Total surface area = addition of all the areas of the triangles and the rectangle

Total surface area= 48+48+57+57+72 = 225

Therefore, the total surface area is 225 square feet

Answer:

1/36

Step-by-step explanation:

Each dice has a 1 in 6 chance to land on a 1, but for both dice to land on 1's it would be [tex](\frac{1}{6} )(\frac{1}{6})[/tex]=[tex]\frac{1}{36}[/tex]

Answer:

A) CPCTC

Step-by-step explanation:

This part of the proof occurs right after two triangles are proven congruent. One could now conclude and establish that every part of each congruent triangle is congruent, which is what is most likely happening in this scenario.

Answer:

3. B

4. D

hope this helps

40

---

hope it helps

sorry if it doesn't

The typical player took more shots at Practice 2, and the shots taken at Practice 1 showed more variability than the shots taken at Practice 2.

Pls mark Brainliest :)

Answer:

Just confirming, the other person is correct.

Step-by-step explanation:

Answer

3π is the answer here is the steps I couldn't write it I'm busy so I just wanted to help I hope it helps

Answer:

70 dollars

Step-by-step explanation:

40% of 175 is 70

Answer:

im pretty sure she saved 70

Step-by-step explanation:

40% of 175 is 70, but im not sure if that's right. Sorry!

Answer:

123 is it okay

Step-by-step explanation:

1=2=3=1

Answer:

He should buy two of the 5-pound bag.

Step-by-step explanation:

The cook needs 10 pounds of flour.

He wants to spend the least amount of money.

First option is a 5-pound bag for $2.89 each.

He can get 2 of the 5-pound bag which equals 10 pounds of flour for 2 x $2.89 = $5.78

Second option is a 2-pound bag for $1.59 each.

He can get 5 of the 2-pound bag which equals 10 pounds of flour for 5 x $1.59 = $7.95.

Second option is $2.17 costlier than the first option.

So, he should go for 2 of the 5-pound bag in order to spend the least amount of money while shopping for 10 pounds of flour.

Step-by-step explanation:

1/2(1/4)+3/8=1/8+3/8=(1+3)/8=4/8=1/2

Answer:

3

Step-by-step explanation:

Answer: 3

Step-by-step explanation:

X,Y,Z

Answer:

24 i'm pretty sure sorry if i am wrong

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

The median is the middle number of a data set. To find it, you need to put the numbers in order:

12, 15, 17, 19, 19, 20, 24, 26

Then I like to cross off a number from each end, then one more, working my way toward the middle. Doing this, you're left with 19 and 19 in the middle. When you have 2 numbers, you average them. In this case, you don't have to. The median is 19.

Please LMK if you have questions. If you can mark brainliest, I'd appreciate it. If not, I understand. :)

Answer:

Area = 52√3

A

Step-by-step explanation:

Remark

This is a trapezoid. The formula for a trapezoid is Area = 1/2 (b1 + b2)* h/2

Givens

b1 = 11

b2 = 15

h = 4*√3

Solution

Area = 1/2 (15 + 11 )*4*√3

Area = 1/2(26)*4√4

Area = 13 * 4√3

Area = 52√3

Answer:

-7x-4y+4y=-44+4y

-7x=4y-44

-7x/-7= 4y-44/-7

x=-4/7y+44/7

x=-4/7y+44/7

Step-by-step explanation:

Answer:

1.) y = -6

2.) y = 5/3x - 7

3.) y = 5

4.) y = -3x + 1

5.) x = -3

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

Answer:

The answer is 2

Step-by-step explanation:

[tex](2 + 2) - 4 + 2[/tex]

Start by solving what inside the parentheses

[tex]4 - 4 + 2[/tex]

Solve the addition

[tex]0 + 2 \\ 2[/tex]

Answer:

Step-by-step explanation:

the answer in standard form is 2c^4+6c^2-c

Answer:

No, I used a proportion to find the number of students in the school who likely to prefer to play sports.

Step-by-step explanation:

23/80 = 115/400; 115 students

Answer:

2 and 3, -5 and -6, -3 and -4

Step-by-step explanation:

list all of your perfect squares

[tex]\sqrt{1}, \sqrt{4} ,\sqrt{9} , \sqrt{16} , ...\\[/tex]

So [tex]\sqrt{5}[/tex] is between [tex]\sqrt{4} and \sqrt{9}[/tex] so it is between 2 and 3

If that is a negative [tex]\sqrt{30}[/tex] then it is between square root of 25 and 36, which would be -5 and -6

-[tex]\sqrt{15}[/tex] is between  [tex]\sqrt{9} and \sqrt{16}[/tex] so -3 and -4

Answer:

£48

Step-by-step explanation:

I=Prt

I=(800)(0.02)(3)

I = 48

Answer:

the simple interest earned was £48.

Step-by-step explanation:

the appropriate simple interest formula is i = prt, where r is the annual interest rate as a decimal fraction.  Here, with prt = (£800)(0.02)(3 yr), we find that the simple interest earned was £48.

Answer:

24cm

Step-by-step explanation:

The ribbons they both have can be found by adding 15 to 9

15 + 9 = 24cm