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3 years ago

What is the circumference of a circle with radius 2.1 cm? Use > (inserts wavey = sign) 3.14.

Mathematics

1 answer:

Fiesta28 [93]3 years ago

8 0

Step-by-step explanation:

The formula for the circumference of a circle is 2*pi*radius

Circumference = 2(3.14)(2.1)

= 13.188cm

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The line plot shows the number of bags of grapes,grouped by weight, to the nearest 1/8 pound. How many bags of grapes had a weig

Assoli18 [71]

Answer:

2.25 pounds

Step-by-step explanation:

The diagram showing the weight of bags with grapes is shown in the attached file below.

From the diagram; number of bags of grapes that had a weight of $\dfrac{3}{8}$ pounds or less is:

$\dfrac{3}{8}$ pounds = 3

$\dfrac{1}{4}$ pounds = 4

$\dfrac{1}{8}$ pounds = 1

Thus; the total is = 3+4+1 = 8

However, The total weight of the grapes in the bag that had a weight of $\dfrac{3}{8}$ pounds or less is :

= $\dfrac{3}{8}(3) + \dfrac{1}{4}(4) + \dfrac{1}{8}(1)$

= $\dfrac{9}{8} + 1 + \dfrac{1}{8}$

= $\dfrac{9+8+1}{8}$

= $\dfrac{18}{8}$

= 2.25 pounds

8 0

4 years ago

Find the perimeter of missing densions if lendth is 4 rods and width is 11 yards what is the perimeter?answer_____rods

riadik2000 [5.3K]

I think it's 30 rods

3 0

4 years ago

a recipe calls for 6 cups water and 4 cups of flour.if the recipe is increased,how many cups of water should be used with 6 cups

fgiga [73]

The ratio is 6w = 4f.
Multiply both sides by 3/2 to get 6 cups of flour, and we have:
6*3/2 w = 4 * 3/2 f
18/2 w = 12/2 f
9 w = 6 f
So 9 cups of water.

5 0

4 years ago

(50 POINTS) Math Inverse Functions please help

Ivenika [448]

Answer:

See below.

Step-by-step explanation:

a. See pic below.

b. Yes because it passes the vertical line test. Any vertical line moving horizontally across the graph intersects only one point on the graph at a time.

Domain: all real numbers

Range: all real numbers greater than or equal to 4

Domain: all real numbers greater than or equal to 4

Range: all real numbers

See pic below.

f. No because it does not pass the vertical line test.

4 0

3 years ago

The screen size of a television is determined by the length of the diagonal of the rectangular screen. traditional elevisions co

julsineya [31]

Answer:

Part 1) The area of a 17 in traditional tv screen is $A=138.7\ in^2$

Part 2) The area of a 17 in LCD TV screen is $A=123.5\ in^2$

Part 3) The screen of the 17 in traditional TV is bigger, because its area is greater than the area of the LCD TV

Step-by-step explanation:

Let

x ----> the length of the rectangular screen

y ----> the width of the rectangular screen

Part 1) What is the area of a 17 in traditional tv screen?

we have

$\frac{x}{y}=\frac{4}{3}$

$x=\frac{4}{3}y$ ----> equation A

Applying the Pythagorean Theorem

$x^{2} +y^{2} =17^{2}$ ----> equation B

substitute equation A in equation B

$(\frac{4}{3}y)^{2} +y^{2} =17^{2}$

solve for y

$\frac{16}{9}y^{2} +y^{2} =289$

$\frac{25}{9}y^{2}=289$

take square root both sides

$\frac{5}{3}y=17$

$y=17(3)/5\\y=10.2\ in$

Find the value of x

$x=\frac{4}{3}(10.2)$

$x=13.6\ in$

Find the area of the rectangular screen

The area is equal to

$A=xy$

substitute

$A=(13.6)(10.2)=138.72\ in^2$

$A=138.7\ in^2$

Part 2) What is the area of a 17 in LCD TV whose screen is in 16:9 format?

we have

$\frac{x}{y}=\frac{16}{9}$

$x=\frac{16}{9}y$ ----> equation A

Applying the Pythagorean Theorem

$x^{2} +y^{2} =17^{2}$ ----> equation B

substitute equation A in equation B

$(\frac{16}{9}y)^{2} +y^{2} =17^{2}$

solve for y

$\frac{256}{81}y^{2} +y^{2} =289$

$\frac{337}{81}y^{2}=289$

take square root both sides

$\frac{\sqrt{337}}{9}y=17$

$y=17(9)/\sqrt{337}$

$y=\frac{153}{\sqrt{337}}\ in$

Find the value of x

$x=\frac{16}{9}(\frac{153}{\sqrt{337}})$

$x=\frac{2,448}{9\sqrt{337}}\ in$

Find the area of the rectangular screen

The area is equal to

$A=(\frac{2,448}{9\sqrt{337}})(\frac{153}{\sqrt{337}})$

$A=123.49\ in^2$

$A=123.5\ in^2$

Part 3) which screen is bigger?

Compare the areas

$138.7\ in^2 > 123.5\ in^2$

therefore

The screen of the 17 in traditional TV is bigger, because its area is greater than the area of the LCD TV

4 0

4 years ago