Answer:
405
Step-by-step explanation:
Since
2 : 9 = 90 : X
Then we know
9/2 = X/90
Multiplying both sides by 90 cancels on the right
90 × (9/2) = (X/90) × 90
90 × (9/2) = X
Then solving for X
X = 90 × (9/2)
X = 405
Therefore
2 : 9 = 90 : 405
The distance formula is given by
Take point A(0, -7) as (x₁, x₂) and point B(8, 8) as (y₁, y₂)
Distance AB =
Distance AB =
Distance AB =
Distance AB = 17
The line AB is dilated to A'B' by scale factor of 2, it means the length of the line is multiplied by 2
Distance A'B' = 2 × 17 = 34 units
Answer:
a) one solution(x = 9)
b) no solution
c) infinite solutions
Step-by-step explanation:
a) To solve this equation, we can add 4 on both sides in order to isolate x:
x - 4 =5
+ 4 + 4
x = 9
Since x equals 9, that counts as only one solution, as there is only one value of x that makes the equation true.
b) We start by subtracting 2x from both sides to combine the variable terms:
2x - 6 = 2x + 5
-2x -2x
-6 = 5
The statement, -6 = 5 is never true and it is not dependent on the value of x. This means there are no solutions to this equation.
c) We can start by subtracting 3x from both sides to combine the terms with x:
3x + 12 = 3x + 12
-3x -3x
12 = 12
The statement above is always true, and no matter the value of x, it will always be true. This means there are infinite solutions to the equation.
Here's the solution,
the volume of the given figure is :
=》
volume of pyramid :
=》
=》
=》
=》
volume of pyramid = 40 cm³
now, volume of rectangular prism :
=》
=》
=》
volume of rectangular prism = 40 cm³
volume of composite figure = 40 + 40
=》80 cm³
For the first blank where it asks for the perimeter, the perimeter is all the outside sides of a shape added up. So, 6 + 1 + 2 + 4 + 4 + 5 = 22.
For the second blank, you just multiply the entire perimeter by 5, so, 22 times 5=110.
For the third blank, it is basically the same as the previous question. The answer is 5.
For the fourth blank, it is the same perimeter as the first blank, but instead of centimeters, it is in k. So, 22k.
Hope this helped! :)
