The Darnells are having a swimming pool installed. The pool has a radius of 14 feet and a height of 4 feet. What is the volume o
f the pool? Use 3.14 for Pi.
cylinder. height 4 feet. radius 14 feet
a
351.68 cubic feet
b
703.36 cubic feet
c
2,461.76 cubic feet
d
615.44 cubic feet
cylinder. height 4 feet. radius 14 feet
a
351.68 cubic feet
b
703.36 cubic feet
c
2,461.76 cubic feet
d
615.44 cubic feet
1 answer:
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Answer:
See explanation
Step-by-step explanation:
In ΔABC, m∠B = m∠C.
BH is angle B bisector, then by definition of angle bisector
∠CBH ≅ ∠HBK
m∠CBH = m∠HBK = 1/2m∠B
CK is angle C bisector, then by definition of angle bisector
∠BCK ≅ ∠KCH
m∠BCK = m∠KCH = 1/2m∠C
Since m∠B = m∠C, then
m∠CBH = m∠HBK = 1/2m∠B = 1/2m∠C = m∠BCK = m∠KCH (*)
Consider triangles CBH and BCK. In these triangles,
- ∠CBH ≅ ∠BCK (from equality (*));
- ∠HCB ≅ ∠KBC, because m∠B = m∠C;
- BC ≅CB by reflexive property.
So, triangles CBH and BCK are congruent by ASA postulate.
Congruent triangles have congruent corresponding sides, hence
BH ≅ CK.
Answer:
The rational numbers are and the irrational functions are
.
Step-by-step explanation:
A rational number can be expressed in the form of , where p and q are integers and q is not equal to 0. For example
.
An irrational function can not be expressed in the form of , where p and q are integers and q is not equal to 0. For example
.
If any number is multiplied by a irrational number then the resultant number is an irrational number.
By the above definition we can conclude that:
The number is a rational number.
Therefore is an irrational number.
Therefore 6.25 is a rational number.
Therefore 0.01045 is a rational number.
The number is a rational number.
The number is an irrational number.
Therefore is an irrational number. The numbers with recursive bar are always rational numbers.
