Answer:
A)10.25 cm ; B)5 square cm
Step-by-step explanation:
A)
Formula:
p=(a+b+c) [p= perimeter ; a,b , and c are the side lengths.]
∴The perimeter of the triangle =(4+2.75+3.5) cm
=10.25 cm
B)
Formula:
A = 1/2 . b .h [A=area ; b= base ; h= height]
∴The area of the triangle = (1/2 . 4 . 2.5) square cm [b=4 ; h=2.5]
=5 square cm
The answer is C, mean =100 and standard deviation=15
Answer:
a=2, b=5
Step-by-step explanation:
Let
n -----> the denominator
we have
Solve for n
That means -----> isolate the variable n
Multiply by n both sides
Divide by 3.5*10^4 both sides
therefore
a=2, b=5
Answer:
ΔABD ≅ ΔACD by SAS, therefore;
by CPCTC
Step-by-step explanation:
The two column proof is presented as follows;
Statement 
Reason
ABCD is a trapezoid Given
Given
Definition of a trapezoid
ABCD is an isosceles trapezoid Left and right leg are equal
∠BAD ≅ ∠CDA Base angle of an isosceles trapezoid are congruent
Reflexive property
ΔABD ≅ ΔACD By SAS rule of congruency
CPCTC
CPCTC; Congruent Parts of Congruent Triangles are Congruent
SAS; Side Angle Side rule of congruency
Hello!
The volume of a cylinder is found by using the formula: V = πr²h.
The problem has given us the height of the cylinder, which is 14.7 centimeters, and the diameter which is 10.5 centimeters. The volume of a cylinder requires the radius, so therefore, to find the radius, divide the diameter by half, and that will give the radius.
R = 10.5 / 2
R = 5.25 centimeters
With that radius and the height, we can find the volume of the cylinder.
V = π(5.25)²(14.7)
V = 27.5625(14.7)π
V = 405.17π, 1272.23 (multiplied by 3.14), 1272.88 (multiplied by π)
Therefore, the volume of this cylinder is 1272.88 centimeters³.
