Answer:
Height of the parallelogram = 37.5 cm
Step-by-step explanation:
As given,
Base of a parallelogram = 75 cm
Height of a parallelogram = 25 cm
As,
we know that
Area = Base × Height
= 75 × 25
= 1875 cm²
As the parallelogram is same
So, Area = Base × Height
⇒1875 = 50 × Height
⇒ Height =
= 37.5 cm
So, we get
Height of the parallelogram = 37.5 cm
Answers:
B = 50
a = 10.9
c = 17.0
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Explanation:
This is a right triangle, so the acute angles are complementary, meaning they add to 90
B+40 = 90
B+40-40 = 90-40
B = 50
Also, because this is a right triangle, we can use trig ratios to compute the missing sides
tan(angle) = opposite/adjacent
tan(40) = a/13
a = 13*tan(40)
a = 10.908
a = 10.9
cos(angle) = adjacent/hypotenuse
cos(40) = 13/c
c*cos(40) = 13
c = 13/cos(40)
c = 17.0
note: make sure your calculator is in degree mode
Option A:
is the value of 
Explanation:
It is given that the first term is 
The common difference is 
We need to determine the sum of 25 terms.
The sum of terms of an arithmetic series can be determined using the formula, ![S_n=\frac{n[2a_1+(n-1)d]}{2}](https://tex.z-dn.net/?f=S_n%3D%5Cfrac%7Bn%5B2a_1%2B%28n-1%29d%5D%7D%7B2%7D)
Substituting
,
and 
Thus, we have,
![S_{25}=\frac{25[2(20)+(25-1)(-10)]}{2}](https://tex.z-dn.net/?f=S_%7B25%7D%3D%5Cfrac%7B25%5B2%2820%29%2B%2825-1%29%28-10%29%5D%7D%7B2%7D)
Simplifying the values, we get,
![S_{25}=\frac{25[40+(24)(-10)]}{2}](https://tex.z-dn.net/?f=S_%7B25%7D%3D%5Cfrac%7B25%5B40%2B%2824%29%28-10%29%5D%7D%7B2%7D)
![S_{25}=\frac{25[40-240]}{2}](https://tex.z-dn.net/?f=S_%7B25%7D%3D%5Cfrac%7B25%5B40-240%5D%7D%7B2%7D)
Subtracting the terms within the bracket, we get,
![S_{25}=\frac{25[-200]}{2}](https://tex.z-dn.net/?f=S_%7B25%7D%3D%5Cfrac%7B25%5B-200%5D%7D%7B2%7D)
Multiplying the terms in the numerator, we have,

Dividing, we get,

Thus, the sum of the 25 terms is 
Therefore, Option A is the correct answer.
Answer:
Thus, 2/3 is the simplified fraction for 18/27 by using the GCD or HCF method. Thus, 2/3 is the simplified fraction for 18/27 by using the prime factorization method
Step-by-step explanation:
hope l am not late!
Def AC BD with an explanation