45/75 = 30/x
30*75 = 2250/45 = 50
EF = 50 in.
<span>I think the answer is C but I would like someone to double check it for me please.</span>
1) 3/5=9/x (cross multiply<span>)
3x=5(9)
3x=45
x=15
2) </span>2/4=x/12 (cross multiply<span>)
</span> 2(12)=4x
24=4x
<span> 6=x
</span>3) 10/x=5/9 (cross multiply<span>)
10(9)=5x
90=5x
18=x
</span>
4) 5/6=x/18
5(18)=6x
90=6x
x=15
9514 1404 393
Answer:
- slant height: 2.1 cm
- pencil area: 51.12 cm^2
Step-by-step explanation:
The slant height (s) is the hypotenuse of the right triangle with legs of 2 cm and 0.5 cm.
s^2 = 2^2 + 0.5^2 = 4 + 0.25
s = √4.25 ≈ 2.0616 ≈ 2.1
The slant height is about 2.1 cm.
__
The surface area of the whole pencil is the sum of the areas of the circular base, the lateral area of the cylindrical part, and the lateral area of the cone.
A = πr^2 +2πrh +πrs
A = πr(r +2h +s) = (3.14)(0.5 cm)(0.5 cm + 2×15 cm + 2.1 cm)
A ≈ 51.12 cm^2
The area of the whole pencil is about 51.12 cm^2.
Answer:
B. Yes, all the conditions are met.
Step-by-step explanation:
According to the question
There is a random sample of 111 people also these people are independent
The population size is also not given so we assume that it should be on infinity i.e. it should be more than 10 times higher as compared with the sample size
And, the number of success in the sample is 93
So, the number of failure would be
= 111 - 93
= 18
So, the 93 and 18 would be higher than 10
Therefore, the option b is correct
