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3 years ago

What is the constant of proportionality what does it mean

Mathematics

1 answer:

Alexandra [31]3 years ago

6 0

Answer:

The constant of proportionality is the ratio between numbers that expresses the rate at which the numbers increase or decrease. These two numbers are directly proportional when they increase and decrease at the same rate.

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What is the area of the composite figure? (use 3.14 for pi). Explain how you arrived at your answer. Please round to the nearest

maksim [4K]

The area of the given diagram is 29.817 square centimeters. The given diagram is combination of rectangle and semi circle.

Step-by-step explanation:

The given is,

Given diagram is combination of Rectangle and Semi circle.

Step:1

Res the attachment,

Area of given diagram = Area of A + Area of B..............(1)

Step:2

For A,

The A section in the given diagram is semi circle,

Diameter of semi circle = Total distance - ( 2+3)

( ∵ 2, 3 are top distance in the given diagram)

$= 10 - 5$

Diameter, d = 5 cm

Radius, $r = \frac{d}{2}$

$r = \frac{5}{2}$

r = 2.5 cm

Area, $A_{A} = \frac {\pi r^{2} }{2}$ ........................(2)

$A_{A} = \frac {\pi (2.5)^{2} }{2}$

$= \frac {\pi ( 6.25) }{2}$

$= \frac{19.63}{2}$

$A_{A} = 9.8174 cm^{2}$

Step:3

For B,

Area of rectangle is,

$A_{B} =lb$ .....................(3)

Where, l - Length = 10 cm

b - Width = 2 cm

Equation (3) become,

$= (10)(2)$

$= 20$

Area of B, $A_{B}$ = 20 $cm^{2}$

Step:4

From the equation (1),

Area of given diagram = 20+ 9.81747

Area = 29.817 square centimeters

Result:

The area of the given diagram is 29.817 square centimeters. The given diagram is combination of rectangle and semi circle.

5 0

3 years ago

A scientist invents a car that can travel for many hours without stopping for fuel. The car travels around a track at 54 miles a

Alla [95]

Answer: 1,296 m iles

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Distance = Speed rate x time

speed rate = 54 miles per hour
time = 24 hours

Replacing with the values given and solving for D (distance)

D = 54 mph x 24 h = 1,296 m

The car traveled 1,296 miles

Feel free to ask for more if needed or if you did not understand something.

3 0

3 years ago

What is the value of y in the equation 4+y = −3?

Masja [62]

The answer to your question is y=-7

3 0

3 years ago

Read 2 more answers

How would I use factoring to write equivalent expressions for the following expressions?

Sedbober [7]

Answer:

4(a + 6)

3(x - 4)

Step-by-step explanation:

Factoring is just rewriting an expression into the parts that multiply together to make the original...like if I had a 100 but decided instead to write 4×25 or if I had 25x I wrote 5(5x) .

If you look at your

4a + 24

You're looking for whatever is the same in both pieces (the 4a and also the 24) So there is a 4 in 4a and there is also a 4 "in" 24 (as in 4×6 is 24)

So if you pull out that 4 and throw it up front, whatever is left behind goes into a pair of parentheses.

4 (____ + ____)

4(a + 6)

This is your factored form bc if you multiply that 4 back in you'll get the original expression back again.

4a + 24

= 4(a + 6)

It's like factoring is "un-distributive" property.

Theres a 3 in 3x and also in 12

3x - 12

= 3(x - 4)

6 0

3 years ago

Tuerying ue correct expression

AleksAgata [21]

Hi how are you today hopefully your well

8 0

3 years ago

What is the constant of proportionality what does it mean​

What is the constant of proportionality what does it mean