Answer:
10.44 m
Step-by-step explanation:
Solve this as a triange. The base is 3m and the perpendicular is 10m. The angle between the base and wall is 90° so it will be a right angled triangle.
Solve this by Pythagoras theorm:
let length of ladder is c
base is b
And perpendicular is a
Acc to Pythagoras theorem:
C² = a² + b²
C² = 10² + 3²
C² = 100 + 9
C² = 109
√C² = √109
C = 10.44m
Answer:
35%
Step-by-step explanation:
Given data
Initial price= $80
Final price= $52
% decrease= initial-final/initial*100
% decrease= 80-52/80*100
% decrease= 28/80*100
% decrease=0.35*100
= 35%
Hence the decrease is 35%
Answer:
3
Step-by-step explanation:
Let's solve your system by substitution.
2
x
−
3
y
=
1
;
3
x
+
2
y
=
6
Step: Solve
2
x
−
3
y
=
1
for x:
2
x
−
3
y
=
1
2
x
−
3
y
+
3
y
=
1
+
3
y
(Add 3y to both sides)
2
x
=
3
y
+
1
2
x
2
=
3
y
+
1
2
(Divide both sides by 2)
x
=
3
2
y
+
1
2
Step: Substitute
3
2
y
+
1
2
for
x
in
3
x
+
2
y
=
6
:
3
x
+
2
y
=
6
3
(
3
2
y
+
1
2
)
+
2
y
=
6
13
2
y
+
3
2
=
6
(Simplify both sides of the equation)
13
2
y
+
3
2
+
−
3
2
=
6
+
−
3
2
(Add (-3)/2 to both sides)
13
2
y
=
9
2
13
2
y
13
2
=
9
2
13
2
(Divide both sides by 13/2)
y
=
9
13
Step: Substitute
9
13
for
y
in
x
=
3
2
y
+
1
2
:
x
=
3
2
y
+
1
2
x
=
3
2
(
9
13
)
+
1
2
x
=
20
13
(Simplify both sides of the equation)
Answer:
x
=
20
13
and
y
=
9
13
