Answer:
6
Step-by-step explanation:
Answer:
x ≈ 10.4
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos42° =
=
( multiply both sides by 14 )
14 × cos42° = x , then
x ≈ 10.4 ( to the nearest tenth )
Answer:
how high will the ceiling be at the center? ≈43.3 ft above the center
Step-by-step explanation:
standard form of equation for an ellipse with horizontal major axis and center at the origin:
x^2/a^2+y^2/b^2=1, a>b
for given problem:
a=50
a^2=2500
c=25
c^2=625
c^2=a^2-b^2
b^2=a^2-c^2=2500-625=1875
b=√1875≈43.3 ft
≈43.3 ft above the center
To solve this equation there are many ways you can do to solve. One way is to simply substitute one variable for another.
5x = 5y - 25
X = y - 5
10y = 42 + 2x
10y = 42 + 2(y - 5)
10 y = 42 + 2y - 10
8y = 32
Y = 4.
X = y - 5
X = 4 - 5
X = -1.
P(X,y) = P(-1,4). This would be the solution or the point where they would intersect.
Answer:
The LCD of
and
is 70.
Step-by-step explanation:
Given : Fractions
and 
To find : The LCD of the fractions ?
Solution :
LCD is the least common denominator,
Fractions
and 
The denominators in fraction are 14 and 10.
The LCD is
2 | 14 10
5 | 7 5
7 | 7 1
| 1 1


Therefore, The LCD of
and
is 70.