Answer:A triangle has a perimeter of 165 cm. The first side is 65 cm less than twice the second side. The third side is 10 cm less than the second side. Write and solve an equation to find the length of each side of the triangle.
The sides can be found by taking the square root of the area. , where = side. . So the length of a side is 6.3 cm.
Step-by-step explanation:
Answer:
b. 5tan(25°)
Step-by-step explanation:
The tangent function gives the ratio between the side opposite and the side adjacent to the angle. That is ...
tan(25°) = ?/5
Multiplying by 5 solves the equation:
? = 5·tan(25°)
3^x = 729
log(3^x) = log(729)
xlog(3) = log(729)
x = log(729)/log(3)
x = 6
The number of permutations of picking 4 pens from the box is 30.
There are six different unique colored pens in a box.
We have to select four pens from the different unique colored pens.
We have to find in how many different orders the four pens can be selected.
<h3>What is a permutation?</h3>
A permutation is the number of different arrangements of a set of items in a particular definite order.
The formula used for permutation of n items for r selection is:

Where n! = n(n-1)(n-2)(n-3)..........1 and r! = r(r-1)(r-2)(r-3)........1
We have,
Number of colored pens = 6
n = 6.
Number of pens to be selected = 4
r = 4
Applying the permutation formula.
We get,
= 
= 6! / 4!
=(6x5x4x3x2x1 ) / ( 4x3x2x1)
= 6x5
=30
Thus the number of permutations of picking 4 pens from a total of 6 unique colored pens in the box is 30.
Learn more about permutation here:
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Answer:
21 is common denominator.
15 and 7 are the corresponding numberators.
Step-by-step explanation:
You multiply the 7 and 6, then apply to the fractions, and slowly reduce until you find a good match.