9514 1404 393
Answer:
71.447296
Step-by-step explanation:
The sequence is geometric with first term 100 and common ratio -0.4. Then the sum of n terms is ...
Sn = 100(1 -(-0.4)^n)/(1 -(-0.4))
and the sum of 9 terms is ...
S9 = 100(1 -(-0.4^9))/(1.4) = 71.447296
Answer:
D. 5
Step-by-step explanation:
You can use proportions to solve this.
36/45=20/5x
Cross multiply the 5x and 36 as well as the 45 and 20
180x=900
Then, divide the 900 by 180
5
Answer: B) {y | y ≥ -4}
<u>Step-by-step explanation:</u>
Range is: all the values that y can be. The lowest y-value of the given graph is -4 and the the highest y-value is positive infinity.
Answer:
As per the given statement:
The distance from jack eyes to the top of the tower = 50.64 m
Also, jack and john eyes are 1.5 m from the ground.
Labelled diagram as shown in the attachment
Let BC = x m be the distance of the jack from the base of the tower and
AG = y m be the distance above 1.5 m from the the ground.
Using tangent ratio:
In triangle AGE;
Here, AG = y m and EG = 20+x m
then;
or we can write this as;
........[1]
Similarly, in AGF;
then;
or
......[2]
Substitute equation [2] into the equation [1], to solve for x;
or
Using distributive property:
we have;
Subtract 0.84 x from both sides we get;
Divide both sides by 0.892 we get;
Therefore, 18.8 meter johns from the base of the tower.
Answer:
The number of pallets of soda that will be required to fill the field is 8.54 or approximately 9 pallets
Step-by-step explanation:
Please kindly see the attached file for explanation