Answer:
option D. x = 1 3/5
Step-by-step explanation:
ratio and proportion
<u> 4 </u> = <u> x </u>
5 2
X multiply:
5x = 4(2)
5x = 8
x = 8 / 5
x = 1 3/5
Answer:
There is multiple. You didnt give options so heres all of them.
Step-by-step explanation:
6 : 8 9 : 12 12 : 16 15 : 20 18 : 24 21 : 28 24 : 32 27 : 36 30 : 40 33 : 44 36 : 48 39 : 52 42 : 56 45 : 60 48 : 64 51 : 68 54 : 72 57 : 76 60 : 80 63 : 84 66 : 88 69 : 92 72 : 96 75 : 1007 8 : 104 81 : 108 84 : 112 87 : 116 90 : 120 93 : 124 96 : 128 99 : 132 102 : 136 105 : 140 108 : 144 111 : 148 114 : 152 117 : 156 120 : 160 123 : 164 126 : 168 129 : 172 132 : 1761 35 : 180 138 : 184 141 : 188 144 : 192 147 : 196 150 : 200 153 : 204 156 : 208 159 : 2121 62 : 216 165 : 220 168 : 224 171 : 228 174 : 232 177 : 236 180 : 240 183 : 244 186 : 248 189 : 252 192 : 256 195 : 260 198 : 264 201 : 268 204 : 272 207 : 276 210 : 280 213 : 284 216 : 288 219 : 292 222 : 296 225 : 300 228 : 304 231 : 308 234 : 312 237 : 316 240 : 320 243 : 324246 : 328249 : 332252 : 336255 : 340258 : 344261 : 348264 : 352267 : 356270 : 360273 : 364276 : 368279 : 372282 : 376285 : 380288 : 384291 : 388
etc etc
Answer:
<em>The larger gear will rotate through 156°</em>
Step-by-step explanation:
<u>Arc Length</u>
The arc length S of an angle θ on a circle of radius r is:

Where θ is expressed in radians.
The smaller gear of r1=3.7 cm drives a larger gear of r2=7.1 cm. The smaller gear rotates through an angle of θ1=300°.
Convert the angle to radians:

The arc length of the smaller gear is:


The larger gear rotates the same arc length, so:


Solving for θ2:




The larger gear will rotate through 156°
Answer:
(a) 
(b) We use the property of exponent that when there is multiplication of two function then there exponent are added
Step-by-step explanation:
We have given expression

(a) We have to find the value of a
We know the property of exponent that when there is multiplication of two function then there is addition of exponent
So 


(b) We use the property of exponent that when there is multiplication of two function then there exponent are added

notice the original, and the new one, with the tripled "r" and "h" is just, whatever the original was times 27, namely 27 times as large as the original.