Answer:
Length: 21 cm and Width: 6cm
Step-by-step explanation:
Let
be the width and
length of the rectangle. We know:
-------- eq. 1
(Perimeter of the rectangle) ------- eq. 2
Substitute equation 1 in equation 2:
![54 = 2(4y-3) + 2y\\54 = 8y - 6 + 2y\\54 + 6 = 8y + 2y\\60 = 10 y\\\\\frac{60}{10}= y\\y = 6](https://tex.z-dn.net/?f=54%20%3D%202%284y-3%29%20%2B%202y%5C%5C54%20%3D%208y%20-%206%20%2B%202y%5C%5C54%20%2B%206%20%3D%208y%20%2B%202y%5C%5C60%20%3D%2010%20y%5C%5C%5C%5C%5Cfrac%7B60%7D%7B10%7D%3D%20y%5C%5Cy%20%3D%206)
Using the value of y, we find x.
![x = 4y - 3\\x = 4(6) -3\\x= 24 - 3\\x = 21](https://tex.z-dn.net/?f=x%20%3D%204y%20-%203%5C%5Cx%20%3D%204%286%29%20-3%5C%5Cx%3D%2024%20-%203%5C%5Cx%20%3D%2021)
For this case we have the number in exponential notation:
![93 * 10 ^ 6](https://tex.z-dn.net/?f=%2093%20%2A%2010%20%5E%206%20%20)
We observe that the exponent of the exponential notation is positive.
Therefore, to express the number as a whole number, we must move the comma 6 spaces to the right.
We have then:
![93 * 10 ^ 6 = 93,000,000](https://tex.z-dn.net/?f=%2093%20%2A%2010%20%5E%206%20%3D%2093%2C000%2C000%20%20)
Answer:
this distance written as a whole number is:
miles
Answer:
Let the smaller integer be x and greater integer be (x+1)
x+(x+1)=91
2x+1=91
2x=91-1=90
x=90/2
x=45
Answer:
There is needed around 311 balloons to fulfill Mr. Schordine’s dream of flight.
Step-by-step explanation:
First, we need to calculate the volume of each balloon by considering the balloons as a sphere:
![V = \frac{4}{3}\pi r^{3}](https://tex.z-dn.net/?f=%20V%20%3D%20%5Cfrac%7B4%7D%7B3%7D%5Cpi%20r%5E%7B3%7D%20)
Where:
r: is the radius = 0.4 meters
![V = \frac{4}{3}\pi r^{3} = \frac{4}{3}\pi (0.4 m)^{3} = 0.27 m^{3}](https://tex.z-dn.net/?f=%20V%20%3D%20%5Cfrac%7B4%7D%7B3%7D%5Cpi%20r%5E%7B3%7D%20%3D%20%5Cfrac%7B4%7D%7B3%7D%5Cpi%20%280.4%20m%29%5E%7B3%7D%20%3D%200.27%20m%5E%7B3%7D%20)
Knowing that 1 m³ of helium is able to lift about 1 kg, that Mr. Schordine weights 84 kg, and that each ballon has 0.27 m³ of helium, the number of balloons needed are:
Therefore, there is needed around 311 balloons to fulfill Mr. Schordine’s dream of flight.
I hope it helps you!
This is a horizontal line passing through the point (0,-1).
Slope = zero.