9514 1404 393
Answer:
7 cm, 4.4 cm
Step-by-step explanation:
The side lengths can be found from the law of cosines. Each triangle has legs 3 cm and 5 cm. The angle between these will be 60° or 120°. Then the two sides of the parallelogram are ...
s = √(a² +b² -2ab·cos(C))
s = √(3² +5² -2·3·5·(±1/2)) = √(34 ±15) = {√49, √19}
The two side lengths are 7 cm and about 4.4 cm.
Answer:
The answer is (b) moved right 3 units and moved down 3 units
Step-by-step explanation:
∵ f(x) = 4^x ⇒ red in the graph
∵ f(x) = 4^(x-3) - 3 ⇒ blue in the graph
∵ x becomes x - 3 ⇒ means:
The graph moved right 3 units
∵ f(x) = 4^x becomes 4^(x-3) - 3 ⇒ means:
The graph moved down 3 units
∴ The answer is (b)
Answer:
The inequality representing s, the number of sets of forks Nathan should buy is
s ≥ 21
Step-by-step explanation:
From the question, the restaurant needs at least 571 forks, i.e., if n represents the number of forks the restaurant needs, then
n ≥ 571
Also from the question, there are currently 361 forks. If y represents the number of forks the restaurant needs to buy, then
y ≥ 571 - 361
y ≥ 210
Also, each set on sale contains 10 forks. if s represents the number of sets of forks Nathan should buy, then
s ≥ 210/10
s ≥ 21
Hence, the inequality representing s, the number of sets of forks Nathan should buy is
s ≥ 21
Answer:

Step-by-step explanation:
H0: µ1 – µ2 = 0
HA: µ1 – µ2 ≠ 0
We have given,
The population variances are not known and cannot be assumed equal.
The test statistic for the test is

Where,
= sample meaan of population 1
= sample mean of population 2
= sample size of population 1
= sample size of population 2
Therefore, this is the test

Answer:
A) -30
Step-by-step explanation: