Answer:
50 blocks
Step-by-step explanation:
First of all, you need to label you're proportions, which can be mm/blocks.
Then, for 1 block, it is 20 mm because the block is 2 cm, which is equal to 20 mm. So for you're proportion, it is 20 mm/1 block.
Finally, you need to find the total amount of blocks that equals 1000 mm. So you can multiply the 20 mm by 50 to get the 1000 mm. What you do at the top, you do at the bottom, so you also have to do 1 block by 50 to get 50 blocks
So for you're final answer/proportion, it is mm/blocks = 20/1 = 1000/50 and you're final answer is 50 blocks
Hope this helps : )
<span>exact value of sin 157.5 without using a calculator
sin(157.5)=sin(315/2)
Identity: sin(x/2)=±√[(1-cosx)/2]
select positive identity since 175 is in the 2nd quadrant where sin>0
sin(315/2)=√[(1-cos315)/2]
cos 315=cos45 in quadrant IV=√2/2
sin(315/2)=√[(1-√2/2)/2]=√[(2-√2)/4]=√(2-√2)/2
sin(157.5)=√(2-√2)/2
check using calculator:
sin157.5º≈0.382...
√(2-√2)/2≈0.382...</span>
Answer:
XM = 7
Step-by-step explanation:
M is the midpoint of XY , thus
XM = MY ( given XY is 7 ) , then
XM = 7
The things you can apply to complete this job is workers and time. The job being accomplished is painted walls. This problem defines two jobs. The rate for each of the jobs will be the same. The first job rate is: R=(7 wkr)•(42 min)/(6 walls)R= 49 wkr-min/walls or 49 worker-minutes per wall. This means one worker can paint one wall in 49 minutes. If you think about this job if 7 workers take 42 minutes to do 6 walls it will only take them 7 minutes to do one wall. And it will take one person 7 times as long to do a job as 7 people working together. This first job rate equals the second job rate R=(8 wkr)•(t )/(8 walls)R=1 t wkr/wall where t is the time to do the second job. Setting the two rates equal to each other and solving for t. t=49 minutes It makes sense if one worker can paint one wall in 49 minutes then 8 workers can paint 8 walls in the same time.
