Step-by-step explanation:
Use distance formula to find the lengths of the sides.
a = √((8 − (-7))² + (-6 − (-4))²) = √229
b = √((8 − (-8))² + (-6 − (-5))²) = √257
c = √((-7 − (-8))² + (-4 − (-5))²) = √2
Use law of cosine to find one of the angles.
c² = a² + b² − 2ab cos C
(√2)² = (√229)² + (√257)² − 2(√229)(√257) cos C
2 = 229 + 257 − 2√58853 cos C
cos C = 242/√58853
C = 4.018°
To find the second angle, either use law of sines, or use law of cosine again. Using law of cosine:
b² = a² + c² − 2ac cos B
(√257)² = (√229)² + (√2)² − 2(√229)(√2) cos B
257 = 229 + 2 − 2√458 cos B
cos B = -13/√458
B = 127.405°
Finally, find the third angle using sum of angles of a triangle, or law of sines, or law of cosine. Using law of cosine:
a² = b² + c² − 2bc cos A
(√229)² = (√257)² + (√2)² − 2(√257)(√2) cos A
229 = 257 + 2 − 2√514 cos A
cos A = 15/√514
A = 48.576°
Answer:
The minimum amount of breaking strain the crane can handle is 6350 kg. (Since it is measured to 2 sig. figs, 6349 kg would round down to 6300 kg, hence the min. is 6350 kg.)
The maximum weight of each crate would be 94 kg. (Since it is measured to the nearest 10 kg, 95 kg would round up to 100 kg, hence the max. is 94 kg.)
Therefore, the greatest number of crates that can be safely lifted would be (6350/94) crates which is 67.5 crates, which rounded down is 67 crates.
All numbers are taken as integers in this answer.
Step-by-step explanation:
Hope this helped!
Answer:
Step-by-step explanation:
The complete question is given thus:
Suppose that computer literacy among people ages 40 and older is being studied and that the accompanying tables describes the probability distribution for four randomly selected people, where x is the number that are computer literate. Is it unusual to find four computer literates among four randomly selected people?
x P(x)
0 0.16
1 0.25
2 0.36
3 0.15
4 0.08
ANSWER:
The odds that this will occur according to the chart are 0.08, or 8%, so although this is unlikely, it's not terribly unusual.
⇒ NO
So from the following we can say it is not unusual to find four (4) computer literates among four randomly selected people.
ok, so P(1) + P(2) + P(3) + P(4) + P(0) = 0.16+0.25+0.36+0.15+0.08 = 1
Whereas the chance of finding four (4) out of four (4) computer iteration is low when compared to other factors.
cheers i hope this helped !!
Answer:
7/24
Step-by-step explanation:
5/8 is equal to 15/24
1/3 is equal to 8/24
15/24 minus 8/24 equals 7/24
The area of each sector is the amount of space on the sector
- The area of the entire region is 6.89
- The area of the double region is 0.75
- The area of the triple region is 0.46
<h3>The area of the entire sector</h3>
The area of a sector is calculated as:
A = (1/2) × r^2θ
For the entire sector, we have:
θ = π/10
r = 6.625
So, we have:
A = (1/2) × 6.625^2 × π/10
Evaluate the product
A = 6.89
<h3>The area of the double region </h3>
For the double region, we have:
θ = π/10
r = 6.25
So, we have:
A = Complete sector - (1/2) × r^2θ
A = 6.89 - (1/2) × 6.25^2 × π/10
Evaluate the difference
A = 0.75
<h3>The area of the triple region </h3>
For the triple region, we have:
θ = π/10
R = 4.125
r = 3.75
So, we have:
A = (1/2) × R^2θ - (1/2) × r^2θ
A = (1/2) × 4.125^2 × π/10 - (1/2) × 3.75^2 × π/10
Evaluate the difference
A = 0.46
Hence, the area of the triple region is 0.46
Read more about sector areas at:
brainly.com/question/16736105
