Answer:
144.44
Step-by-step explanation:
C = 2 x π x r . C = 2 x 3.14 x 23 = 144.44
The volume of this right rectangular prism is 263.52 and it is to the nearest hundredths as a decimal, hope it helps!
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A. side AB = 38/3 units B.m∠VYX =77°
Step-by-step explanation:
A.A rhombus has its four sides equal. This means side AB=side CD
Given that AB=5x+1 and CD=2x+8 equate the two sides to find value of x as;
5x+1=2x+8
collect like terms
5x-2x=8-1
3x=7
x=7/3
side AB = 5x+1
AB= 5*7/3 +1
AB=35/3 +1
AB=35/3 +3/3 = 38/3
B.
The diagonals of a rhombus intersect to form 90°
Hence
(3n²-0.75)°=90°
3n²=90°+ 0.75°
3n² =90.75° -----dividing by 3 both sides
n² =90.75°/3 =30.25°
n²=30.25°
n=√30.25°
n=5.5°
so angle Z =90°
and angle ZVW =(9n+2)°
∠ZVW = (9*5.5 +2 )° =51.5°
In a rhombus all four sides are equal, thus side VY = YX.This means triangle VYX is an isosceles triangle.
Hence angle ∠YVZ=∠WVZ =51.5°, and because VYX is an isosceles triangle then ∠YXV =51.5° so
∠VYX= 180°-(51.5°+51.5°)
=180°-103°=77°
Learn More
Properties of a Rhombus : brainly.com/question/1305249
Keywords : Rhombus, fraction, simplest form
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Addition of fractions with unlike denominators: 3/10 + 1/6 = 7/15
Subtraction of fractions with unlike denominators: 7/8 - 5/6 = 1/24
<u>Step-by-step explanation</u>:
"Unlike denominator" is said to have different numbers in the denominator.
- Change the unlike denominators to like denominators by finding the least common multiple (LCM) of the denominators.
- Now multiply the numerator and denominator with same number that gives the LCM in the denominator.
- Add or subtract the numerators according to the operator given, but do not perform any operation in the denominators.
<u>Addition of fractions with unlike denominators</u>:
⇒ Add 3/10 and 1/6.
⇒ Taking LCM 2 |<u>10 6</u>
<u>|5 3 </u>
⇒ The LCM is 253 = 30.
⇒ 3/10 + 1/6 = (33)/(103) + (15)/(65)
= 9/30 + 5/30
= 14/30 = 7/15
<u>Subtraction of fractions with unlike denominators</u>:
⇒ Subtract 7/8 and 5/6.
⇒ Taking LCM 2 <u>|8 6</u>
<u>|4 3 </u>
⇒ The LCM is 243 = 24.
⇒ 7/8 - 5/6 = (73)/(83) + (54)/(64)
= 21/24 - 20/24
= 1/24