Answer:
Option (B)
Step-by-step explanation:
Let the weight of one container = x pounds
Therefore, weight of 5 containers = 5x pounds
Weight of the platform = 30 pounds
Total weight of the platform and containers = (5x + 30) pounds
If the maximum weight that can be lifted by the cable = 780 pounds
Inequality representing this situation will be,
(5x + 30) < 780
5x < 780 - 30
5x < 750
x < 150
Therefore, Option (B) is the answer.
(a) See the attached sketch. The jet makes a right triangle with the ground with hypotenuse <em>y</em>. Since the angle of depression is 56°, and the plane in which the jet is flying 300 m in the air is parallel with the ground, the angle of elevation in the right triangle is also 56°. Use the definition of sine to solve for <em>y</em>.
sin(56°) = (300 m)/<em>y</em> → <em>y</em> = (300 m)/sin(56°)
The uppermost angle in the blue triangle has measure equal to the difference between the two given angles of depression, 56° - 30° = 26°, and the rightmost angle is also 30° by the same reasoning as before. Then by the law of sines,
<em>x</em>/sin(26°) = <em>y</em>/sin(30°) → <em>x</em> = sin(26°)/sin(30°) <em>y</em> ≈ 317.2627 m
(b) No, the field is not long enough.
7 movie tickets :)
First, we must find the unit price:
20.25/3=6.75
Now we divide:
47.25/6.75=7
I hope you are having a great day, buddy :)
Please mark me as brainliest:)
Answer:
Answering the part about who created the first equation:
There are a lot of different ways to solving cubic equations, but the first one is given by Gerolamo Cardano, who published it, and the equation was created by Scipione del Ferro, an Italian mathematician who was born in 1465. He did not make a lot of other contributions to mathematics, some of his other works were related to the rationalization of fractions with denominators containing sums of cube roots
This equation was called "Cardano's formula", and originally only worked for depressed cubic equations ( x^3 + p*x + q = 0)
But there are variations that can be used for more general cubic equations, of the form:
a*x^3 + b*x^2 + c*x + d = 0.
Answer: C) 3 real zeros and 2 imaginary zeros
<u>Step-by-step explanation:</u>
A function with a degree of 5 must have 5 total zeros.
It is given that there are 3 x-intercepts (zeros) and each has a multiplicity of 1, so there are 3 x 1 = 3 real zeros.
real + imaginary = 5
3 + imaginary = 5
imaginary = 2
