Answer:
- Maria–Ava: 15.7 feet
- Lucas–Maria: 10.1 feet
- angle at Maria: 50°
Step-by-step explanation:
The cosine and tangent functions are useful here. The relevant relations are ...
Cos = Adjacent/Hypotenuse
Tan = Opposite/Adjacent
__
The distance from Maria to Ava (ma) is the hypotenuse of the triangle, so we have ...
cos(40°) = 12/ma
ma = 12/cos(40°) ≈ 12/0.76604 ≈ 15.7 . . . feet
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The distance from Lucas to Maria (ml) is the side opposite the given angle, so we have ...
tan(40°) = ml/12
ml = 12·tan(40°) ≈ 12·0.83910 ≈ 10.1 . . . feet
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The angle formed at Maria's position is the complement of the other acute angle in the right triangle:
M = 90° -40° = 50°
In summary, ...
- Maria–Ava: 15.7 feet
- Lucas–Maria: 10.1 feet
- angle at Maria: 50°
Answer:
The speed of car in miles per minute is
miles per minute and
The speed of car in mile per hour is 40 miles per hour,
Step-by-step explanation:
Given as :
The distance cover by car = 2
=
miles
The Time taken by car to cover distance = 3
min =
min
The speed o car in miles per minute = S miles/min
So, Speed = 
Or, S =
mie per min
∴ S =
miles per minute
Now, Let The speed of car in miles per hour = x miles/h
So, Time in hour =
×
=
hours
So , Speed = 
Or, x =
miles per hours
Or, x = 40 miles per hours
Hence The speed of car in miles per minute is
miles per minute and the speed of car in mile per hour is 40 miles per hour, answer
Answer:
1.) 2.06
2.) 0.43
3.) 0.52
4.) 5.06
5.) 0.51
6.) 4.2
7.) 2.02
8.) 0.7
9.) 0.6
10.) 3.05
11.) 1.3
12.) 0.2
13.) 0.5
14.) 0.4
15.) 0.02
16.) 0.07
17.) 6.01
18.) 3.2
19.) 0.53
20.) 1.2
Step-by-step explanation:
Simple addition with decimals. If you have a whole number like 5, with a decimal like 0.07, 5+0.07 would be 5.07. 5 would take the spot of 0 in the ones place and .07 would remain. If you have 0.10+0.8, it would be 0.9 as your answer since we make 0.8 to 0.80 or 0.10 to 0.1 and add the two together. Hope this helped!
Answer:
9 inches deep
Step-by-step explanation:
12 inches - 3 inches = 9 inches
If you are multiplying by 100, the decimal will move 2 places to the right.
It moves to the right when multiplying because the number is getting greater, and there are 2 zeroes in 100 so it moves twice.