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3 years ago

8

HELP PLEASE

2 answers:

Bond [772]3 years ago

6 0

Lateral surface area is different then regular surface area. It is the area of the faces that are not the bases. In this case there is 4 square faces that are not the bases. So...

144/4=36, then take sqrt to get 6 edge length.

Gre4nikov [31]3 years ago

4 0

Answer:

The length of one edge of the cube is 6 centimeters.

Step-by-step explanation:

The lateral surface area of a cube is

$A=4a^2$

where a is the length of one edge of a cube.

It is given that the lateral surface area of the square is 144 square centimeters.

Substitute A=144 in the above formula.

$144=4a^2$

Divide both sides by 4.

$36=a^2$

Taking square root both the sides.

$\sqrt{36}=\sqrt{a^2}$

$6=a$

Therefore the length of one edge of the cube is 6 centimeters.

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The coordinates of ∆ABC are A(-3, 2), B(5, 8) & C(11, 0). Which type of triangle is ∆ABC? Select All that apply.

stepan [7]

Given:

The coordinates of ∆ABC are A(-3, 2), B(5, 8) & C(11, 0).

To find:

The type of the given triangle.

Solution:

Distance formula:

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Using the distance formula, we get

$AB=\sqrt{(5-(-3))^2+(8-2)^2}$

$AB=\sqrt{(8)^2+(6)^2}$

$AB=\sqrt{64+36}$

$AB=\sqrt{100}$

$AB=10$

Similarly,

$BC=\sqrt{(11-5)^2+(0-8)^2}$

$BC=\sqrt{(6)^2+(8)^2}$

$BC=\sqrt{36+64}$

$BC=\sqrt{100}$

$BC=10$

And,

$AC=\sqrt{(11-(-3))^2+(0-2)^2}$

$AC=\sqrt{(14)^2+(-2)^2}$

$AC=\sqrt{196+4}$

$AC=\sqrt{200}$

$AC=10\sqrt{2}$

Two sides of the triangle are equal, i.e., $AB=BC$ . So, the triangle is an isosceles triangle.

Sum of square of two smaller side is

$AB^2+BC^2=10^2+10^2$

$AB^2+BC^2=100+100$

$AB^2+BC^2=200$

$AB^2+BC^2=AC^2$

Using the Pythagoras theorem, we can say that the given triangle is a right triangle.

Therefore, the correct options are B and F.

7 0

3 years ago

Brums [2.3K]

D.

9^3 = 9*9*9 = 81*9 = 729

3 0

3 years ago

Read 2 more answers

Solve for y then find the slope and y intercept and graph <br> y=4x+3<br><br> y=<br> b=<br> m=

Ugo [173]

Answer:

y = 4x+3

m =4

b =3

Step-by-step explanation:

y=4x+3

This is already solved for y

This is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

y = 4x+3

m =4

b =3

7 0

3 years ago

PLz help 5 stars correct answer

mariarad [96]

0.9 would be the best guess i belive

8 0

3 years ago

Solve for d<br> –3d + 10 − 5d = –10 − 10d

deff fn [24]

Your answer would be -2

6 0

3 years ago