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Fed [463]
3 years ago
9

Find the surface area of a cube with side length 8.5 cm.

Mathematics
2 answers:
EastWind [94]3 years ago
7 0
<h3>Answer:   433.5 square cm</h3>

=========================================================

Explanation:

A cube has 6 identical faces, all of which are squares.

Each square has a side length of 8.5 cm, so its area is (8.5)^2 = 72.25 sq cm.

The overall surface area, aka the area of all 6 faces combined, is 6*72.25 = 433.5 square cm

Bas_tet [7]3 years ago
4 0

Answer:

A=433.5cm²

Step-by-step explanation:

A=6a2=6·8.52=433.5cm²

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Please find the exact length of the midsegment of trapezoid JKLM with vertices J(6, 10), K(10, 6), L(8, 2), and M(2, 2). Thank y
I am Lyosha [343]

Answer:

the exact length of the midsegment of trapezoid JKLM  = \mathbf{ = 3 \sqrt{5} } i.e 6.708 units on the graph

Step-by-step explanation:

From the diagram attached below; we can see a graphical representation showing the mid-segment of the trapezoid JKLM. The mid-segment is located at the line parallel to the sides of the trapezoid. However; these mid-segments are X and Y found on the line JK and LM respectively from the graph.

Using the expression for midpoints between two points to determine the exact length of the mid-segment ; we have:

\mathbf{ YX = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} }

\mathbf{ YX = \sqrt{(8-5)^2+(8-2)^2} }

\mathbf{ YX = \sqrt{(3)^2+(6)^2} }

\mathbf{ YX = \sqrt{9+36} }

\mathbf{ YX = \sqrt{45} }

\mathbf{ YX = \sqrt{9*5} }

\mathbf{ YX = 3 \sqrt{5} }

Thus; the exact length of the midsegment of trapezoid JKLM  = \mathbf{ = 3 \sqrt{5} } i.e 6.708 units on the graph

8 0
3 years ago
7x - 20 = 2x - 3(3x + 2)
kirill [66]

Answer:

7x-20=2x-3(3x+2)

We move all terms to the left:

7x-20-(2x-3(3x+2))=0

We calculate terms in parentheses: -(2x-3(3x+2)), so:

2x-3(3x+2)

We multiply parentheses

2x-9x-6

We add all the numbers together, and all the variables

-7x-6

Back to the equation:

-(-7x-6)

We get rid of parentheses

7x+7x+6-20=0

We add all the numbers together, and all the variables

14x-14=0

We move all terms containing x to the left, all other terms to the right

14x=14

x=14/14

x=1

   

   

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
What’s the correct answer for this?
earnstyle [38]

Answer:

6

Explanation:

According to secant-secant theorem,

(PB)(PA)=(PD)(PC)

(7)(12)=(PD)(14)

NOW

84/14 = PD

PD = 6

4 0
3 years ago
1/2(6x-5)=x-3/2 solve for x
Artyom0805 [142]

Answer:

1/2

Step-by-step explanation:

5 0
3 years ago
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The Ortiz family will travel from Indianapolis to Denver this summer. The driving distance between the two cities is 1,058 miles
lakkis [162]
<span>A. Write and solve an algrebraic equation to find out how many gallons of gas they will use. Explain your steps.

let x = gallons of gas they will use
    y = distance traveled

x = y/20 
x = 1058/20 = 52.9 gallons of gas

B. Write and solve an algebraic equation to find out how many miles they will travel.

</span>let x = distance traveled
    y = gallons of gas used

x = 20y
x = 20(52.9) 
x = 1058 miles

Hope this helps. Have a nice day.
7 0
3 years ago
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