Answer:
Volume of cuboid = 2000 m³
Step-by-step explanation:
Given the following data;
Base area = 500 m²
Height = 4m
To find the volume of a cuboid;
The volume of a cuboid is given by the formula;
Volume of cuboid = length * breadth * height
But remember, base area = length * breadth
Therefore, the volume of the cuboid becomes;
Volume of cuboid = base area * height
Substituting into the equation, we have;
Volume of cuboid = 500 * 4
Volume of cuboid = 2000 m³
The radius of the hemisphere is 9.5 inches.
The diameter of the hemisphere is 19 inches.
The surface area of the hemisphere is 850.2 inches²
<h3>How to find the surface area of an hemisphere?</h3>
circumference of a circle = 2πr
where
Therefore,
19π = 2πr
2r = 19
r = 19 / 2
r = 9.5 inches
diameter = 9.5 × 2 = 19 inches
Therefore,
surface area of an hemisphere = 3πr²
surface area of an hemisphere = 3 × 3.14 × 9.5²
surface area of an hemisphere = 850.155 inches²
surface area of an hemisphere = 850.2 inches²
learn more on hemisphere here: brainly.com/question/14076143
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You can make some algebraic equations and solve it.
The first would be:
![x \times y = - 21](https://tex.z-dn.net/?f=x%20%5Ctimes%20y%20%3D%20%20-%2021)
The second would be
![x + y = - 4](https://tex.z-dn.net/?f=x%20%2B%20y%20%3D%20%20-%204)
You can then rearrange the second into
![x = - 4 - y](https://tex.z-dn.net/?f=x%20%3D%20%20-%204%20-%20y)
And subsitute it into the first like so:
![( - y - 4) \times y = - 21](https://tex.z-dn.net/?f=%28%20-%20y%20-%204%29%20%5Ctimes%20y%20%3D%20-%20%2021)
After that, distribute the y into the parantheses.
![{ - y}^{2} - 4y = - 21](https://tex.z-dn.net/?f=%20%7B%20-%20y%7D%5E%7B2%7D%20%20-%204y%20%3D%20%20-%2021)
Subtract the 21 on both sides and multiply by -1 on both sides:
![{ - y}^{2} - 4y + 21 \\ {y}^{2} + 4y - 21](https://tex.z-dn.net/?f=%20%7B%20-%20y%7D%5E%7B2%7D%20%20-%204y%20%20%2B%20%2021%20%5C%5C%20%7By%7D%5E%7B2%7D%20%20%2B%204y%20%20-%20%2021)
You then can factor it into:
![(y + 3) \times (y - 7) = 0](https://tex.z-dn.net/?f=%28y%20%2B%203%29%20%5Ctimes%20%28y%20-%207%29%20%3D%200)
With Zero Product Property, we can determine y to be either -3 and 7. Since the variables are interchangable, you can say the same about x, just that whatever x is, y must be the other value.
Thus, the answer is 7 and -3.
Answer:
x=13
Step-by-step explanation:
Lines that are perpendicular to each other have opposite sign reciprocal slopes. The slope of the x-axis is 0, so the slope of the line will be undefined (vertical)
x = something
A vertical line has the same x-value all the way through, so the y-value will just keep going up.