Answer:
Step-by-step explanation:
Given
Shape: Cylinder
Required
Simplify the volume
The volume is calculated as:
Substitute values for Base Area and Height
Expand the bracket
Open brackets
Answer:63 cm
Step-by-step explanation:
Given
The scale of creation is 2:9
The width of the toy wheel is 14 cm
Suppose x is the actual width of the truck
Thus, the width of actual truck is 63 cm
(10x+5)4 = 30x + 3x + 6x +30
40x + 20 = 39x + 30
X = 10
perimeter of the square= 420
perimeter of the triangle= 420
Answer:
Step-by-step explanation:
Component form of a vector is given by , where represents change in x-value and represents change in y-value. The magnitude of a vector is correlated the Pythagorean Theorem. For vector , the magnitude is .
190 degrees counterclockwise from the positive x-axis is 10 degrees below the negative x-axis. We can then draw a right triangle 10 degrees below the horizontal with one leg being , one leg being , and the hypotenuse of the triangle being the magnitude of the vector, which is given as 9.
In any right triangle, the sine/sin of an angle is equal to its opposite side divided by the hypotenuse, or longest side, of the triangle.
Therefore, we have:
To find the other leg, , we can also use basic trigonometry for a right triangle. In right triangles only, the cosine/cos of an angle is equal to its adjacent side divided by the hypotenuse of the triangle. We get:
Verify that
Therefore, the component form of this vector is