Answer:
a 4 1/5
b 7 7/24
Step-by-step explanation:
a 7/9 * 5 2/5
Change the mixed number to an improper fraction
7/9 * (5*5+2)/5
7/9 * 27/5
Rewrite
7/5 * 27/9
7/5 * 3
21/5
Change this back to a mixed number
5 goes into 21 4 times (4*5 = 20 ) with 1 left over
4 1/5
b 1 3/4 * 4 1/6
Change to improper fractions
(4*1+3)/4 * (6*4+1)/6
7/4 * 25/6
175/24
Change back to a mixed number
24 goes into 175 7 times (7*24 =168 ) with 7 left over
7 7/24
Using the law of cosines and sines, the measure of angle B is: 38.4°.
<h3>What is the Law of Cosines and Sines?</h3>
Law of cosines is: c = √[a² + b² ﹣ 2ab(cos C)]
Law of sines is: sin A/a = sin B/b = sin C/c
Use the law of cosines to find c:
c = √[12² + 18² ﹣ 2(12)(18)(cos 117)]
c ≈ 25.8
Use the law of sines to find angle B:
sin B/b = sin C/c
sin B/18 = sin 117/25.8
sin B = (sin 117 × 18)/25.8
sin B = 0.6216
B = sin^(-1)(0.6216)
B = 38.4°
Learn more about the law of cosines on:
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Answer: Your answer is 795 r4 in a decimal form it is 795.8
Step-by-step explanation: Hope my answer helped you! Plz, mark my answer Brainliset and Thank you!
Answer: A. 664
Step-by-step explanation:
Given : A marketing firm is asked to estimate the percent of existing customers who would purchase a "digital upgrade" to their basic cable TV service.
But there is no information regarding the population proportion is mentioned.
Formula to find the samples size , if the prior estimate to the population proportion is unknown :
, where E = Margin of error.
z* = Two -tailed critical z-value
We know that critical value for 99% confidence interval = 
[By z-table]
Margin of error = 0.05
Then, the minimum sample size would become :
Simplify,
Thus, the required sample size= 664
Hence, the correct answer is A. 664.
Answer:
Straight
Step-by-step explanation:
Right angle is 90° ⊥
Acute is less than 90∠
Obtuse is more than 90, less than 180
Straight angle is 180, a straight line
