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4 years ago

Convert: a. 48 m^2 to ________________ cm^2

Mathematics

1 answer:

Lubov Fominskaja [6]4 years ago

4 0

Step-by-step explanation:

1 m = 100 cm So

48 × 100 = 4800 cm

1m = 1000mm

456 mm into m

= 456 ÷ 1000

= 0.456 m

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A CD is circular and has a diameter of 6 centimeters. Which is closest to the area of the CD? Use 3.14 for π

prohojiy [21]

Answer:

28.26 cm²

Step-by-step explanation:

Area of a circle = πr²

r = diameter/2

r = 6/2 = 3

A = (3.14)(3)²

A = 28.26 cm²

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3 years ago

The total cost of your pizza is 6.46.

vodka [1.7K]

Answer:

193.80

Step-by-step explanation:

30x6.46=193.80

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3 years ago

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Explain the relationship between angle W and angles X and Y.

Dmitrij [34]

Answer: w is equal to the sum of angles x and y. (W=x+y)

Step-by-step explanation:

The exterior angle of a triangle (in this case w) is equal to the sum of the two remote interior angles of the triangle (in this case angles x and y)

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3 years ago

A solid circular cylinder has a base radius 5 cm and a height 12.5 cm. Find the approximate increase in the surface area of the

Olin [163]

Answer:

19.72 cm²

Step-by-step explanation:

A solid circular cylinder has a base radius 5 cm and a height 12.5 cm.

The volume of cylinder is given by :

$V=\pi r^2 h\\\\=3.14\times (5)^2\times 12.5\\\\=981.25\ cm^2$

When r = 5.05, new volum becomes,

$V=\pi r^2 h\\\\=3.14\times (5.05)^2\times 12.5\\\\=1000.97\ cm^2$

Increase in area = 1000.97 - 981.25 = 19.72 cm²

So, the increase in surface area of the cylinder is equal to 19.72 cm².

6 0

3 years ago

This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive an

maxonik [38]

Answer:

5.0 ft-lbf

Step-by-step explanation:

The force is

$F = \dfrac{9}{6^x}$

This force is not a constant force. For a non-constant force, the work done, <em>W</em>, is

$W = \int\limits^{x_2}_{x_1} {F(x)} \, dx$

with $x_1$ and $x_2$ the initial and final displacements respectively.

From the question, $x_1 =0$ and $x_2 = 12$ .

Then

$W = \int\limits^{12}_0 {\dfrac{9}{6^x}} \, dx$

Evaluating the indefinite integral,

$\int\limits \dfrac{9}{6^x} \, dx =9 \int\limits\!\left(\frac{1}{6}\right)^x \, dx$

From the rules of integration,

$\int\limits a^x\, dx = \dfrac{a^x}{\ln a}$

$9 \int\limits \left(\frac{1}{6}\right)^x \, dx = 9\times\dfrac{(1/6)^x}{\ln(1/6)} = -5.0229\left(\dfrac{1}{6}\right)^x$

Returning the limits,

$\left.-5.0229\left(\dfrac{1}{6}\right)^x\right|^{12}_0 = -5.0229(0.1667^{12} - 0.1667^0) = 5.0229 \approx 5.0 \text{ ft-lbf}$

4 0

3 years ago