Answer:
8 cm
Step-by-step explanation:
We can use ratio's to solve this problem
4 cm = 5 km
We need to know how many cm = 10 km
4 cm x cm
---------- = --------------
5 km 10 km
Using cross products
4* 10 = 5* x
40 = 5x
Divide each side by 5
40/5 = 5x/5
8=x
On the map it is 8 cm.
Answer:
The volume of the hemisphere is 1,475.73 cm³.
Step-by-step explanation:
Given that a hemisphere is half a sphere, to determine the volume of a hemisphere with a diameter of 8.9 cm, the following calculation must be performed, knowing that the volume of a sphere is equal to 4/3 πr³, and the radius is half the diameter:
8.9 x 2 = 17.8 / 2 = 8.9
(4/3 x 3.14 x 8.9³) / 2 = X
(1.333 x 3.14 x 704.969) / 2 = X
(4.18666 x 704.969) / 2 = X
2,951.47 / 2 = X
1,475.73 = X
Therefore, the volume of the hemisphere is 1,475.73 cm³.
The function is y = 3(x+3)^2-9
The equation of a parabola is
y=a(x-h)^2+k
where (h,k) are the coordinates of the vertex and a, is a constant.
From the question, we have
(h,k)=(-3,-9)
⇒y=a(x+3)^2-9
To find a, substitute x=-2,y=-6
-6=a(-2+3)^2-9
⇒a=3
The equation, y=3(x+3)^2-9
Multiplication:
Mathematicians use multiplication to calculate the product of two or more numbers. It is a fundamental operation in mathematics that is frequently utilized in everyday life. When we need to combine groups of similar sizes, we utilize multiplication. The fundamental concept of repeatedly adding the same number is represented by the process of multiplication. The results of multiplying two or more numbers are known as the product of those numbers, and the factors that are multiplied are referred to as the factors. Repeated addition of the same number is made easier by multiplying the numbers.
To learn more about multiplication visit: brainly.com/question/5992872
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Answer: C. 7x^2+4x-5
Step-by-step explanation:
Add as you would normally. Exponents can look scary but don’t mind them. First add 5x^2 & 2x^2 to get 7x^2. Then do -5x + 9x. An easier way of doing that would be 9x-5x to get 4x. Lastly do 1 -6 to get 5.