Here, Given
h= 8ft
a=144 * ft^2
then,
A=L*H
144=L*8 or 144/8 =L
L=18
now, P=2(L+H)
P=2(18+8)
P=52m
Perimeter and area are two important and basic mathematical subjects. They help quantify the physical space and also provide a more advanced foundation of mathematics in algebra, trigonometry, and calculus. Perimeter is a measure of the distance around a shape, and area indicates how much area the shape covers.
The perimeter of a 2D shape is the distance around the shape. You can imagine wrapping a string around a triangle. The length of this cord is around the triangle. Or, if you're traveling outside the park, take a route that goes around the edge of the park.
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If you're solving for x, you'd move all the terms containing x to the left side of the equation:
d^2y/dx^2+4y/x-12y-cos^2(x)+sin^2(x)=0
If you're solving for y, you'd simplify both sides of the equation, then isolating the variable:
y=xcos(2x)
Canadian Lynn Johnston was named Cartoonist of the Year in 1985, the first woman to be so honored (Option C).
<h3>What is sentence completion?</h3>
Sentence completions test the skill to use the information observed in complex and incomplete sentences in order to correctly complete them.
It tests a candidate's vocabulary power and skill to follow the logic of sentences.
Now,
- Only Option C supports the statement since Canadian Lynn Johnston, the first woman to receive this accolade, was named cartoonist of the year in 1985.
- Because she was named cartoonist of the year in 1985, she is regarded with tremendous esteem in this instance.
- The other options do not relate to the sentence so given.
Hence, the correct option is C, i.e., Canadian Lynn Johnston was named Cartoonist of the Year in 1985, the first woman to be so honored (Option C).
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least common multiple of the given three numbers can be found out as follows
first have to divide all three numbers by factors that are common for all three
so first divide 55, 75 and 115 by 5
55/5 = 11
75/5 = 15
115/5 = 23
there are no common factors shared by 11, 15 and 23
so the factors are 5, 11 , 15 and 23
so to find the least common multiple
we have to find the products of the factors
5 x 11 x 15 x 23 = 18 975
least common multiple is 18 975
Answer:
x =6 y = 5
Step-by-step explanation:
3y = 15
3/3 15/3
y= 5
-2x + 6(5) = 18
-2x + 30 = 18
-30 -30
-2x = -12
-2/-2 -12/-2
x = 6
