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horrorfan [7]
2 years ago
5

Please help me with this math problem!! Will give brainliest!! NO LINKS PLEASE!! Thanks!! :)

Mathematics
1 answer:
iren2701 [21]2 years ago
3 0

Answer:

The sum of all the sides to this quadrilateral will equal a total of 20 inches, so you set up the equation:

2 + 2x + 7 + x + 2 = 20

Solve for x by combining like terms;

(2 + 7 + 2) + (2x + x) = 20

Which simplifies to;

11 + 3x = 20

Get rid of constants;

-11          -11

3x = 9

Isolate x by getting rid of it's coefficient;

/3  /3

<u>x = 3</u>

Now, to find the length of PQ, we plug in the value of x(3) into the equation that contains the line PQ.

x + 2

<u>3</u> + 2

= <u>5 inches.</u>

Now, to find the length of RS, we plug in the value of x(3) into the equation that contains the line RS.

2x

2(3)

= <u>6 inches.</u>

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3 years ago
Graph the line that represents a proportional relationship between yyy and xxx where the unit rate of change of yyy with respect
Rina8888 [55]

The equation of the line of the graph would be, y = 5/3x.

The graph of the line is shown in the diagram attached below.

<h3>What is a Proportional Relationship Graph?</h3>

A proportional relationship is usually defined and expressed as the equation, y = kx, where:

x and y are the two variables that are in a proportional relationship with one another

k is the constant of proportionality or unit rate of change.

The unit rate of change is also the slope of the line that represents the proportional relationship graph, and passes through the point of origin, (0, 0).

Given that the line that represents a proportional relationship between x and y is where the unit rate of change is given as 5/3, the equation of the line of the graph would be, y = 5/3x.

The graph of the line is shown in the diagram attached below.

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5 0
1 year ago
Which one is bigger, 6 feet or 2 meters?
Vlad1618 [11]

CONVERSIONS, PHYSICAL CONSTANTS, AND UNITS

Length:
1 inch (in) =  2.54 centimeters (cm) exactly
1 foot (ft) =  0.305 meters (m)
1 yard (yd)  = 0.914 meters (m)
1 mile (mi) = 5280 feet (ft)  =  1.61 kilometers (km)
1 centimeter (cm)  = 0.394 inches (in)
1 meter (m)  = 100 centimeters (cm)  =  39.4 inches (in) = 3.28 feet (ft)  =  1.09 yards (yd)
1 kilometer (km) = 1000 meters (m)  = 0.621 miles (mi)
1 rod =  16.5 feet (ft) = 5.5 yards (yd) =  5.03 meters (m)
1 astronomical unit (AU) = 1.50 x 108 kilometers (km)  = 9.29 x 107 miles (mi)  
1 light year (LY) = 9.461 x 1012 kilometers ( km) = 5.88 x 1012 miles (mi)  = 0.307 parsec
1 parsec =  approximately 3.26 light years (LY)

Area  =  length  x  width
1 square inch (in2) =  0.00694 square feet (ft2  =  6.45 square centimeters, cm2
1 square foot, (ft2) =  144 square inches (in2  =  0.0929 square meters, m2
1 square yard (yd2  =  1296 square inches (in2  =  9 square feet (ft2  =  0.836 square meters (m2
1 square mile (mi2  =  640 acres  =  2.59 square kilometers (km2 
1 acre  = 160 square rods  =  43,560 square feet (ft2) =  0.405 hectares
1 hectare  =  10,000 square meters (m2  =  100 ares  =  2.47 acres
1 square rod  =  30,25 square yards (yd2  =  25.29 square meters (m2
1 are  =  100 square meters (m2  =  0.01 hetares  =  119.6 square yards (yd2   

Volume =  length  x  width  x  height
1 cubic inch (in3) =  0.000579 cubic feet (ft3) =  16.4 cubic centimeters (cm3)
1 cubic foot (ft3) =  1728 cubic inch (in3) =  0.0283 cubic meters (m3)
1 cubic yard (yd3) =  27 cubic feet (ft3) =  4.65 x 104 cubic inch (in3) =  0.765 cubic meters (m3)
1 cubic meters (m3) =  106 cubic centimeters (cm3) =  1,000 liters (L)  =  35.3 cubic feet (ft3)
1 quart (qt)  =  2 pints (pt) = 946 milliliters (mL) = 0.946 liters (L)
1 gallon (gal) = 4 quarts  = 231 cubic inch (in3) =  3.79 liters (L)
1 liter (L) =  1000 cubic centimeters (cm3) = 1.06 quarts (qt) = 0.265 gallons (gal)

Mass
1 slug = 14.6 kilograms (kg)
1 kilogram (kg) =  1,000 grams  = 0.0685 slugs 
1 atomic mass unit (u)  =  1.66 x 10-27 kilogram (kg) =1.66 x 10-24
1 electron mass  = 9.11 x 10-31 kilogram (kg) =  9.11 x 10-28 grams (g)  =  5.46 x 10-4 atomic mass unit (u) 
1 proton mass =  1.00728 atomic mass unit (u)
1 neutron mass =  1.00866 atomic mass unit (u)

Conversion Between Weight and Mass on Earth
A slug is the mass unit in the British system and is equal to 32.2 pounds (lb) 
A kilogram weighs 9.81 newtons (N) or 2.21 pounds (lb) 
A mass of one (1) gram (g) weighs 981 dynes or 0.0353 ounces (oz) 
A one (1) ounce weight has a mass 28.4 grams (g) or 0.0284 kilograms (kg) 
A one (1) pound weight has a mass of 454 grams (g) or 0.454 kilograms (kg) 
A metric ton has a mass of 1,000 kilograms (kg) 
A one (1) ton (regular) weight has a mass of 2,000 pounds (lb)

Velocity and Speed  =  distance/time
1 ft/s (ft s-1)  =  0.305 m/s (m s-1)
1 mi/hr (mi hr-1) =  1.47 ft/s (ft s-1) = 1.61 km/hr (km hr-1)  = 0.447 m/s (m s-1)
1 m/s (m s-1)  =  100 cm/s (cm s-1) =  3.28 ft/s (ft s-1)
1 km/hr (km hr-1) =  0.278 m/s (m s-1) = 0.621 mi/hr (mi hr-1)  = 0.912 ft/s (ft s-1)
Speed of light in a vacuum  = 3.00 x 108 m/s (m s-1) =  3.00 x 1010 cm/s (cm s-1)  = 186,000 mi/s (mi s-1)
Speed of sound in air at 0 oC (32 oF) =  331 m/s  (m s-1) =  1090 ft/s (ft s-1)  = 41 mi/hr (mi hr-1)

Acceleration =  velocity /  time
1 ft/s2  = 0.305 m/s2  =  30.5 cm/s2
1 mi/hr/s  = 1.47 ft/s2 =  1.61 km/hr/s  =  0.447 m/s2
1 m/s2 = 100 cm/s2 = 3.28 ft/s2
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Force  = mass x acceleration
1 lb =  16 oz  =  4.45 newtons (N)
1 N (kg· m/s2)  =  0.223 lb

Temperature
oF =  9/5  x  oC  + 32
oC = (oF  -  32)  x  5/9
Absolute Temperature, kelvin, K  =  oC  +  273.15
0 K  =  -273.15 oC  =  -459.72 oF
Normal Body Temperature  =  98.6 oF

Pressure  =  Force/Area
1 Pascal, Pa  =  1 N/m2  =  1.45 x 10-4 lb/in2
1 bar  =  105 N/m2  =  14.50 lb/in2
1 atmosphere, atm  =  760 mm Hg  =  76.0 cm Hg  =  760 torr  =  14.50 lb/in2  =  1.01325 x 105 N/m2 (or Pa)
Air pressure at sea level is approximately  =  1 atm  =  1 bar  =  105 N/m2  (or Pa)   =  14.50 lb/in2
Water pressure increases 9810 N/m2  for each meter of depth or 0.433 lb/in2 for each foot of depth

Work and Energy or Heat Work  =  Force  x  parallel distance
1 joule, J  =  0.738 ft . lb  =  107 ergs
1 calorie, cal  =  4.18 J  =  0.00442 British Thermal Units, Btu
1 foot pound, ft . lb  =  1.36 J
1 Btu  =  252 cal  =  778 ft·lb  =  1.054 x 103 J
1 electron Volt, eV  =   1.602 x 10-19 J
931.5 million electron volts,MeV is equivalent to 1 atomic mass unit, u

Power  =  Work/time
1 horse power, hp  =  550 ft·lb/s  =  0.746 kilowatts, kW  =  746 W
1 Watt, W  =  1 J/s  =  0.738 ft·lb/s  =  0.00134 hp
1 Btu/hr  =  0.293 W
1 kW  =  1.34 hp

Radioactivity
1 curie  =  3.70 x 1010 disintegrations/second  =  3.70 x 1010 bequerels

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