Draw 3 rows with 2 counters

Www-awn.aleks.com/alekscgi/x/Isl.exe/1o_u-IgNsikas

mel-nik [20]

Answer:

Step-by-step explanation:

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4 0

3 years ago

A sphere is inscribed in a cube with a surface area of 216 square centimeters. What is the volume of the sphere

pentagon [3]

Answer:

$V=298.5cm^3$

Step-by-step explanation:

To find the volume of the sphere we need to know its radius.

And the radius can be found with the information we have about the surface area.

The formula for the surface area is as follows:

$SA=4\pi r^2$

from this formula we clear the radius r:

$r^2=\frac{SA}{4\pi}\\ \\r=\sqrt{\frac{SA}{4\pi} }$

and we substitute the known value of the surface area, and also the value of $\pi$ :

$r=\sqrt{\frac{216cm^2}{4(3.1416)} }\\ \\r=\sqrt{\frac{216cm^2}{12.5664} }\\ \\r=\sqrt{17.1887cm^2}\\ \\r=4.146cm$

and now that we know the radius we find the volume:

$V=\frac{4\pi r^3}{3} \\\\V=\frac{4(3.1416)(4.146cm)^3}{3}\\ \\V=\frac{895.521cm^3}{3}\\ \\V=298.5cm^3$

the volume of the sphere is $298.5cm^3$

7 0

3 years ago

The height of the triangle is 3 meters longer than twice its base. Find the base and height if the area is 8 square meters. Roun

polet [3.4K]

9514 1404 393

Answer:

base: 2.18 m
height: 7.35 m

Step-by-step explanation:

Let b represent the base of the triangle in meters. Then the height is ...

h = 3 +2b

and the area is ...

A = 1/2bh

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

16 = 3b +2b^2 . . . . . . . multiply by 2 and eliminate parentheses

2(b^2 +3/2b + (9/16)) = 16 + 9/8 . . . . . . complete the square

2(b +3/4)^2 = 17.125

(b +3/4)^2 = 8.5625 . . . . . divide by 2

b + 0.75 = √8.5625 ≈ 2.9262

b = -0.75 +2.9262 = 2.1762

h = 3 +2b = 7.3523

The base is about 2.18 meters and the height is about 7.35 meters.

3 0

3 years ago

What is the decimal equivalent of 3/6%

GREYUIT [131]

Answer:

0.5

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

15. What is the algebraic notation of a figure is Translated 8 units left and 2 units up?

sasho [114]

Answer:

Please check the explanation.

Step-by-step explanation:

When a figure is translated with 8 units left and 2 units up, it means the translated figure can be obtained by subtracting 8 units from the x-axis and adding 2 units to the y-axis.

For example, if a point P(0, 0) is translated with 8 units left and 2 units up, the new position of the point will be:

(x, y) → (x-8, y+2)

P(0, 0) → P'(0-8, 0+2) = P'(-8, 2)

Thus, the new location of the image of point P will be: P'(-8, 2)

Therefore, option (a) is the correction answer.

FOR QUESTION 16

As the algebraic notation of a figure is Translated 2 units right and 5 units up.

Translating 'a' units right mean, we need to add 'a' units to the x-axis.

Thus, the rule will be:

(x, y) → (x+2, y+5)

Therefore, option (b) is correct.

4 0

3 years ago