Answer:
Step-by-step explanation:
In how many ways can the club select its new officers
Need to fill 4 positions
24P4 = 24!/(24-4)! = 24!/20! = 21*22*23*24 = 255,024
Answer:
cos A = 9/41
Step-by-step explanation:
cosine is a function that puts together the ADJACENT side of a triangle in a ratio with the HYPOTENUSE.
So from angle A the side length 9 is right next to A so it is the ADJACENT side. The HYPOTENUSE is the longest side ,that is the side length 41.
so cos A = ADJ/HYP
cos A = 9/41
It could be that the directions were confusing bc they said simplest radical form. Many, but not all right triangles have one or more sidesides that have a radical as part of their measure. This triangle doesn't. If you get a radical in the denominator of a ratio, be sure to rationalize so that there is no radical on the bottom.
Volume of the bead = Volume of the sphere - volume of the cylindrical hole = 242.95 mm³.
<h3>What is the Volume of a Sphere and a Cylinder?</h3>
- Volume of a sphere = 4/3πr³
- Volume of a cylinder = πr²h
Volume of the bead = Volume of the sphere - volume of the cylindrical hole
= 4/3π(4³) - π(1²)(8)
= 268.08 - 25.13
Volume of the bead = 242.95 mm³
Learn more about volume of sphere on:
brainly.com/question/22807400
Answer:
An impossible one...
Step-by-step explanation:
The 3 interior angles of a triangle must add up to 180°
therefore no triangle can be 25,15,20 since that would add up to 60°
Answer: The value of x will make the triangles similar by the SSS similarity theorem is 30
Third option 30
Solution:
The similarity theorem indicates that the sides of similar triangles must be proportional, then:
x/45=x/45=50/75
x/45=50/75
Solving for x: Multiplying both sides of the equation by 45:
45(x/45)=45(50/75)
x=(45)(50)/75
x=2,250/75
x=30
