1.Given the rectangular prism shown, what is the surface area?


2.Dimitri wants to cover ONLY the top and sides of the box shown with glass tiles that are 5 cm square. How many tiles does he need?

Using the Pythagorean Theorem, it is found that the length of the dotted line in the diagram below is of 8.6 units.

The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, according to the following equation:

[tex]h^2 = l_1^2 + l_2^2[/tex]

In this problem:

Hence, the value of x is found as follows.

[tex]x^2 = 3^2 + 4^2[/tex]

[tex]x^2 = 25[/tex]

[tex]x = \sqrt{25}[/tex]

[tex]x = 5[/tex]

Then, the length l of the dotted line is found as follows.

[tex]l^2 = 5^2 + 7^2[/tex]

[tex]l = \sqrt{74}[/tex]

[tex]l = 8.6[/tex]

The length of the dotted line in the diagram below is of 8.6 units.

To learn more about the Pythagorean Theorem, you can take a look at https://brainly.com/question/654982

Step-by-step explanation:

The correct options are

2. (3,8)

4. ( 18 , 29 )

Hope it will help :)

Answer:

2.5

Step-by-step explanation:

Since -5 is smaller than -2.5, the answer will be positive. To make life a little easier, you can simply just do 5 - 2.5 and get 2.5.

Hope this helped :)

Answer:

Step-by-step explanation:

x^3y^5: x, x, x, y, y, y, y, y

x^4y^2: x, x, x, x, y, y

GCF: x^3y^2

Answer: x3,y5= 1

x4,y2= 1

Answer:

22 1/2

Step-by-step explanation:

22 1/2

srry if its wrong <3

Answer:

true false true

Step-by-step explanation:

Answer:

the first one is false

the second one is false

the third one is false

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

4/ 1/7 = 4 x 7/1 = 4 x 7 = 28

Answer:

i dont see a x-

Step-by-step explanation:

Answer:

1. 9

2. 9

3. 6

4. 6

5. 6

6. 9

Step-by-step explanation:

Answer:

Step-by-step explanation:

21 dividedby 7/3 Is 9

72/7 divided by 8/7 is 9

4 1/2 divided by 1/2 is 9

9 divided by 3/2 is 6

4 2/3 divided by 7/9 is 6

12/7 divided by 2/7 is 6

Answer:

−26p− 7

Step-by-step explanation:

Step-by-step explanation:

Answer: -40

Step-by-step explanation:

Answer:

Step-by-step explanation:To answer your question, the first number 9/8 has the reciprocal 8/9.

Answer:

A) about 14u^2

Step-by-step explanation:

If you combine the two part filled units at the top of the figure, you can see that it makes a full unit.

The visual area is 15, so when you combine the part filled units, it will be about 14.

Hope this helped!

Answer:

214.08 cm²

Step-by-step explanation:

To find the whole area of an irregular polygon, you must first break it into polygons that are findable. For this figure, we can break it up into two figures, a triangles and a rectangle. To find the triangle, we must first find the height of it. To get that, we take the length of the blue line (the height of the entire figure), and subtract the height of the rectangle (9.6 cm) to  get a height of 5.7 cm for the triangle. the area formula for a triangle is 1/2 of the base multiplied by the height. To get the base of the triangle, we add the base of the rectangle to the parts of the triangle that hang past it (6.2 cm in total). 6.2 + 12.8 gives us 19 cm. Now we have (19 x 9.6) divided by 2 to give us 91.2 cm². The area formula for a quadrilateral is just the base (12.8 cm) multiplied by the height (9.6 cm), to give us 122.88 cm². Add the area of the rectangle to the area of the triangle to get our answer, 214 cm².

*So sorry for the first answer, my bad.

Answer:

x = -2

x = 2

x = ?/2

x = ?(2)

Step-by-step explanation:

For each problem you want to isolate the variable.

For x + 2 you want to move the 2 by subtracting it (since it is being added to the x) from each side. Assuming the other side of the equal sign is 0, the answer is -2.

Same thing for x - 2, isolate by adding the 2 (since it is being subtracted).

For 2x and x ÷ 2 it is a little different. If we assume the opposite side is 0, the answer will be 0 because 0 divided or multiplied by 2 will give you 0. But if the opposite side is a different number, the answer will be that number and then the respected equation for the problem (divide both sides by 2 in 2x because the x is being multiplied by the 2 and multiple both sides by 2 in the x ÷ 2 because the x is being divided by the 2).

Give the other guy brainliest he really deserves it

Answer:

3/7 of 2/11 is 6/77

Let me know if this helps!

Answer:

6/77

Step-by-step explanation:

hope this helps U///w///U

Answer:

7109.76m2

plz mark brainliest

Answer:

C

Step-by-step explanation:

difference is 33

Step-by-step explanation:

100 - 40% = 60 + 7% = 67 + 300 = 367

400 - 367  = 33

Answer: I might well as think the answer is 10.220

Answer:

it are 1 cup : 1/4, 2/3 cup:1cup,2 cup: 2/3 cup

Step-by-step explanation:

Answer:

210min

Step-by-step explanation:

We want to find 35% of 10 hours. In order to find the answer in minutes, we have to convert.

(10hr)(60min/1hr) = 600min

(0.35)(600min) = 210min

Answer:

around 314.16

Step-by-step explanation:

the radius squared is 100 and 100 times pi is around or rounded to 314.16 or in this case B 314 in 2

Answer:

I think the answer is positive 8

Step-by-step explanation:

Answer:

e,b,and c but im not for sure

Step-by-step explanation:

Answer:

W

Step-by-step explanation:

quadrant 4 is the bottom right one

W: 4;5

V: 4;2

Y: -1;2

X: -5;-1

Answer:

3(-8 + 3w)

Step-by-step explanation:

The greatest common factor (GCF) of 24 and 9 is 3. By taking out a 3 from the quantity, you get a -8 from the -24 and a 3w from the 9w. But the 3 doesn't disappear. It is put outside of the quantity to indicate that it has been taken out and can be put back in.

-24+9w

9w-24

= 3(3w-8)