By applying 2×pie×radius (radius+height)
This answer comes 1925000mm^3
So basically, he wants to make mixture where lemon=lime
it is 6 gallons so
40% of 6=0.4 times 60=2.4=lemon
60% of 6=0.6 times 60=3.6=lime
so to make them equal
3.6-2.4=1.2
he must add 1.2 gallons of 100% lemon juice to make a mixture of 50% lemon and 50% lime
1.2 gallons is the answer
Answer:
the test I will perform is d. Two-sided t-test
Step-by-step explanation:
When we are to compare between different data, critical regions occur on both sides of the mean of a normal distribution,they are as a result of two-tailed or two-sided tests.
In such tests, consideration has to be given to values on both sides of the mean.
for this question, it is expected to compare weather it is true that first born have different intelligent or not, weather to accept a null hypothesis or reject.
For example, if it is required to show that the percentage of metal, p, in a
particular alloy is x%, then a two-tailed test is used, since the null hypothesis is incorrect if the percentage of metal is either less than x or more than x.
Answer:
3x + 15 = 3*10 + 15 = 30 + 15 = 45
<u>3x + 15 = 45</u>
Now,
2x + 25 = 2*10 + 25 = 20 + 25 = 45
<u>2x + 25 = 45</u>
Step-by-step explanation:
3x + 15 + 2x + 25 = 90
or, 5x + 40 = 90
or, 5x = 90 - 40
so, 5x = 50
so, x = 50/5 = 10
solution: option B and C both are correct i.e., option C is correct i.e., ∠E ≅∠H and ∠I ≅ ∠F .
option C is correct i.e., ∠E ≅∠H.
explanation:
it is given that ratio of corresponding sides of ΔFGE and ΔIJH are equal
i.e.,

and if ∠E ≅ ∠H
Then ΔFGE and ΔIJH are similar by SAS (side angle side) similarity theorem.
so option C is correct i.e., ∠E ≅ ∠H.
and option B is also correct
explanation:
since it is given that

And if ∠I ≅ ∠F
then ΔFGE and ΔIJH are similar by SAS (side angle side) similarity theorem.