Answer:
Step-by-step explanation:
f(5)=49.5(0.88)^5
f(5)=$26.12
Assume that
a and b = the two legs of the right triangle.
c = the hypotenuse.
The area of the right triangle is 750 yd², therefore
(1/2)*a*b = 750
ab = 1500 (1)
The perimeter is 150yd, therefore
a + b + c = 150 (2)
Let the side fenced with wood be a, at $5/yd. Sides b and c are fenced with steel at $10/y. The total cost is $1200, therefore
5a + 10b + 10c = 1200
or
a + 2b + 2c = 240 (3)
From (2), obtain
c = 150 - a - b (4)
Substitute (4) into (3)
a + 2b + 2(150 - a - b) = 240
-a + 300 = 240
a = 60
From (1), obtain
60b = 1500
b = 25
From (4), obtain
c = 150 - 60 - 25 = 65
Answer:
A. The length of the leg fenced with wood is 60 yd.
B. The length of the leg fenced with steel is 25 yd.
Work<span> is done when a force that is applied to an object moves that object. The </span>work<span> is calculated by multiplying the force by the amount of movement of an object. Force is mass times acceleration. The problem says the system is at constant velocity therefore acceleration is zero. Thus, work done would be zero as well.
Hope this helps. Have a nice day.</span>
Answer:
Deberás beber 1.75 litros de agua en un día.
Step-by-step explanation:
De acuerdo a la información dada, puedes utilizar una regla de tres para encontrar la cantidad de agua que deberás beber en un día si pesas 50 kg dado que debes tomar 0.035 litros por cada kg:
1kg → 0.035 litros
50 kg → x
x=(50*0.035)/1=1.75 litros
De acuerdo a esto, la respuesta es que deberás beber 1.75 litros de agua en un día.
Answer:
Width = 16(√5) - 1
Step-by-step explanation:
We are told that the golden rectangle is 32 cm long.
Thus, length = 32 cm
We are also told that the ratio of the length to the width is; (1 + √5):2
Thus;
If a length of (1 + √5) yields a width of 2
Then, a length of 32 cm would yield a width of; (32 x 2)/(1 + √5)
So corresponding width = 64/(1 + √5)
We want to reduce this width to it's simplest radical form which means the denominator should have no square root.
Thus, let's multiply top and bottom by (1 - √5);
Width = 64 x (1 - √5)/[(1 + √5) x (1 - √5)]
Width = 64(1 - √5)/(1 - 5)
Width = 64(1 - √5)/(-4)
Width = -16(1 - √5)
Width = 16(√5 - 1)
Width = 16√5 - 1