Answer:∠1 = ∠3 = ∠5 = ∠7 = 77.5°
∠2 = ∠4 = ∠6 = ∠8 = 102.5°
Step-by-step explanation:
In the picture attached, the parallel lines and the transversal are shown.
8 angles are formed, where:
∠1 ≅ ∠3 ≅ ∠5 ≅ ∠7
∠2 ≅ ∠4 ≅ ∠6 ≅ ∠8
On the other hand, ∠1 + ∠2 = 180°, and ∠2 is 25° greater than ∠1, that is ∠1 + 25° = ∠2, therefore:
∠1 + ∠1 + 25° = 180°
2∠1 = 180° - 25°
∠1 = 155°/2
∠1 = 77.5°
and
∠2 = 77.5° + 25° = 102.5°
we have
4 yards 24 inches wide
6 yards long
<u>step 1</u>
convert inches to yards
we know that
1 yard is equal to 36 inches
so
24 inches=(24/36)=2/3 yards
so
4 yards 24 inches wide=4+(2/3)=14/3 yards
step 2
Find the ratio
W/L=(14/3)/(6)=14/18=7/9
therefore
<u>the answer is </u>
the ratio is equal to (7/9)
Answer:
Option A. 
Step-by-step explanation:
we know that
The volume of the cylinder is equal
where
r is the radius of the base of cylinder
h is the height of the cylinder
we have
substitute
Answer:
P=p1+p2+p3+p4
P1=4*a=4*8=24
P2=a+b+c=6+10+8=24
P3=2*a+2*b=2*10+2*20=60=P4
P=24+24+60+60=160cm
Answer:
65625/4(x^5)(y²)
Step-by-step explanation:
Using binomial expansion
Formula: (n k) (a^k)(b ^(n-k))
Where (n k) represents n combination of k (nCk)
From the question k = 5 (i.e. 5th term)
n = 7 (power of expression)
a = 5x
b = -y/2
....................
Solving nCk
n = 7
k = 5
nCk = 7C5
= 7!/(5!2!) ------ Expand Expression
=7 * 6 * 5! /(5! * 2*1)
= 7*6/2
= 21 ------
.........................
Solving (a^k) (b^(n-k))
a = 5x
b = -y/2
k = 5
n = 7
Substituting these values in the expression
(5x)^5 * (-y/2)^(7-5)
= (3125x^5) * (-y/2)²
= 3125x^5 * y²/4
= (3125x^5)(y²)/4
------------------------------------
Multiplying the two expression above
21 * (3125x^5)(y²)/4
= 65625/4(x^5)(y²)
