Answer:
6.7
Step-by-step explanation:
For this questions we have the oppsotie side and need the adjacent
out of SOH, CAH, TOA we will sue TOA
tan(56)=10/x
tan(56)/10=1/x
10/tan(56)=x
x=6.745 which rounds to 6.7
A shape that is similar to another shape will be enlarged by a scale factor.
Each corresponding sides should give the same scale factor
Side GI corresponds to side JL
Side GH corresponds to side JK
Side HI corresponds to side KL
The correspond sides whose length are given is
GH = 4 and JK = 8
Side JK is twice longer than GH
All the other sides of triangle JKL are twice longer than triangle GHI, so we want that the side JL to be twice of the sides GI
Side GI = 6
Side JL = 6 × 2 = 12
Answer: y = 12
1). Multiply (5400 inches) by (1 foot / 12 inch) then by (1 mile / 5280 foot).
(See explanation at the bottom)
= (5400 inch) x (1 foot / 12 inch) x (1 mile / 5280 foot)
= (5400 x 1 x 1 / 12 x 5280) (inch - foot - mile / inch - foot)
= 0.0852 mile
2). Multiply (16 week) by (7 day/week) then by (24 hour/day)
then by (60 minute/hour) then by (60 sec/minute).
3). Multiply (54 yards) by (3 foot/yard) then by (1 meter/3.28 foot)
and then by (1000 mm/meter)
4). Multiply (36 cm/second) by (3600 second/hour) then by (1 meter/100 cm)
then by (1 mile/1609.3 meter).
5). Look up how many grams in a pound ('P')
Look up how many mL in a gallon ('G')
Multiply (1.09 g/mL) by ( 1 pound/ P gram) then by (1 gallon/ G mL)
6). Multiply (32 foot/sec) by (1 meter / 3.28 foot) then by (60 sec/minute).
Each time I told you to multiply by something, it was always a fraction
where the numerator and denominator are equal, like (60 seconds/minute)
or (1 foot / 12 inch). Since the top and bottom of the fraction are equal, the
value of the fraction is ' 1 ' , and multiplying by it doesn't change the value,
it only changes the units ... that's what this whole exercise is about.
When you multiply, KEEP the units in the product, and then, after you multiply, you can 'cancel' units out of the top and bottom of the product.
Like if you have 'feet' on top and bottom, just cross them out. When you're done, if you did it correctly, the last unit you end up with will be the one you want.
There will be at least 1,350 bacteria in the Petri dish in 3 hours, or at 11:00am.
8:00am: 50 bacteria
9:00am: 150 bacteria
10:00am: 450 bacteria
11:00am: 1350 bacteria
Try to use photo math it gives you the work and answer