In the picture below, h is height of building and x is the distance the base of the ladder is away from the base of the building.
We use trigonometry to find x, particularly the cosine function.
cos(29.37°) = x/32
cos(29.37°)(32) = x
27.8870633052 = x
We now round off to the nearest hundredths, which means to two decimal places.
27.89 feet = x
Answer:
1a) C, D, E is over 600 cubic inches.
1b) x4.8 greater The sphere is x4.8 greater than the first cone.
Step-by-step explanation:
A) Smaller Right cylinder V≈565.49 cubic inches
B) Smaller cone V≈188.5 cubic inches
C) Cylinder right prism V≈1696.46 cubic inches
D) Right circular cone V≈565.49 cubic inches
E ) Sphere V≈904.78 cubic inches
1b) Volume of sphere/volume of smaller cone
is 904.78/188.5= 4.7998938992 = x4.80 greater.
A reflection followed by translation, a translation followed by rotation, and a rotation followed by reflection all preserve congruence.
Anything that changes the size of the figure does not preserve congruence. The other three choices all have a dilation in them; a dilation changes the size of a figure. Therefore it does not preserve congruence.
Answer:
2A
6X^2
Step-by-step explanation:
