Answer:
1
Step-by-step explanation:
Hi!
First we need to translate 2 units down. That means we need to subtract 2 from the y value. So now we have (-1,1).
For a 270 degree counterclockwise rotation the rule is to go from (x,y) to (y,-x)
So now we have (1,1). Since they're only asking for the x value, the answer is 1.
The number lines should show the weights the car seats are designed for in comparison the the weight of the 32lb child. The car seat made for children 30lb and lighter would not work because this child is 32lbs. Model this by placing a filled in circle at 30 and the arrow should face left. The seat for children between 15lbs and 40lbs and the seat designed for a child that is between 30lbs and 85lbs would work because the child is within these weight ranges. The number line for the seat for a 15lb-40lb child would have open circles at 15 and 40 with a line connecting the two points. The number line for a 30lb-85lb child should have filled in circles at these two point with a line connecting them.
The formula to calculate the volume of a cylinder is: V = Π h r², that is, Pi per height per radius squared Steps to follow: one When calculating the volume of a cylinder, you will need to measure the height (h) of the cylinder, a value that sometimes also receives the name of length. Let's give a concrete example to be able to apply the formula and that way you understand better how to carry out the operations. In this way, we will assume that the height or length of the cylinder is 10 cm. two On the other hand, you must also have the measure of the radius (r) of the cylinder, that is, the distance from the outer edge to the center of the circle that serves as the base of this polyhedral figure. Make sure you use the same unit of measure for each dimension, if they are expressed in different units, you must do the conversion to obtain the equivalence. Following the example, let's give the radio a value of 3 cm 3 So, knowing that the formula to calculate the volume of a cylinder is: V = Π h r² We just need to know how much pi is worth, remember? Yes, we can round it to 3.14 and, therefore, we will only need to substitute each value in the formula. Next, you must calculate the square of the radius (r²), multiplying the value by itself and then multiply the result of the height by Pi, by the result of the radius squared. V = 3.14 x 10 x 3² = 3.14 x 10 x 9 = 282.6 cm³ Remember to write the answer in the appropriate cubic unit of measure. So you can understand where you get the formula to calculate the volume of a cylinder: If you disarm a cylinder in your hands you will have two equal circles and a rectangle, right? First you must use the formula to take out the area of a circle that is: A = (Π) (r²) When you get the area of the circle you multiply it by the height of the cylinder and the result is the volume of the cylinder. Always remember to be careful with the units of measurement you use in calculations.
Answer:
380
Step-by-step explanation:
.20x = 19 + .15x
.05x = 19
x = 380
If A represents an angle, its complement is 90-A.
If m<1 = 36, then its complement is 90-36 (degrees), or 54 (degrees).