This is the concept of application of geometry; the distance that the ladder should be placed will be given by Pythagorean theorem.
thus;
c^2=a^2+b^2
where, c=hypotenuse, a and b are the legs
hence;
15^2+12^2+b^2
b^2=15^2-12^2
b^2=225-144
b^2=81
getting the square root of both sides;
b=sqrt81
b=9
therefore the ladder should be placed 9 feet from the wall for it to reach 12 feet up the building
Answer:
Dakota has 94 books, while Darius has 144.
Step-by-step explanation:
Given that Darius and Dakota are roommates, and together they have 238 books, if Darius has 50 more books than Dakota, to determine how many books does Dakota have the following calculation must be performed:
Dakota = X
Darius = X + 50
X + X + 50 = 238
2X + 50 = 238
2X = 238 - 50
X = 188/2
X = 94
Therefore, Dakota has 94 books, while Darius has 144.
Answer:
4)Y axis :X=0
5)A:2units B:4 units C:7units D:7units
A':2units B':4units C':7units D':7units
6)They are correspondingly the same
7)A(2;1) B(4;4) C(7;4) D(7;1)
A'(-2;1) B'(-4;4) C'(-7;4) D(-7;1)
0.0042 = (42/1000) = 4.2 / 10³ = 4.2 * 10⁻³