Answer: The ladder is 5.3 m long
Step by step solution
1. Draw out the scenario, ie a right triangle where the hypotenuse is the ladder, the wall is 4.5m and the angle the ladder and the ground makes 58 degree.
2. Soh, Cah, Toa
The wall is opposite, the ground is adjacent, and the ladder is hypotenuse
Sine (58) = 4.5/h
3. Solve for hypotenuse
h * sine (58) = 4.5
h = 4.5/sine (58)
h = ~ 5.3 m
<span>Today's age = x
4(x - 33) = x + 3
4x - 132 = x + 3
4x - x = 3 + 132
3x = 135
x = 135/3
x = 45
Answer:
Dianna is 45 years old now.
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Answer:
B. 5 units
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, dilation, rotation or translation.
If a point X(x,y) is rotated about the origin 180 degrees clockwise the new point is at X'(-x, -y).
If the square with vertices at A(0, 0), B(0, 5), C(5, 5) and D(5, 0) is rotated about the origin 180 degrees clockwise the new points are at A'(0, 0), B'(0, -5), C'(-5, -5), D'(-5, 0)
A square has four equal sides. The distance between two points
is:

Hence:

Answer:
The dimension of the rug would be 17 ft × 9 ft.
Step-by-step explanation:
Given
length of the room = 27 ft.
width of the room = 19 ft.
suppose, she leaves a uniform strip of x ft. around the rug.
So,
The length of rug = (27-2x)ft.
Width of rug= (19-2x)ft.
∴ Area of the rug= length×width



According to the question,

( subtract 153 both sides)



( Middle term splitting)



or
( zero product property)
or 
if x=18, dimension would be negative ( Not possible)
Thus, x= 5
Hence,
length of rug= 27-10=17 ft.
width of rug= 19-10=9 ft.
Answer:
UNITED STATES ITALY DEM. REP. CONGO
Population mid-2008 305 million 60 million 67 million
Population 2050 (projected) 438 million 62 million 189 million
Lifetime births per woman 2.1 1.3 6.5
Percent of population below age 15 20% 14% 47%
Percent of population ages 65+ 13% 20% 3%
Life expectancy at birth 78 years 81 years 53 years
Annual births 4.3 million 568,120 2.9 million
Annual deaths 2.4 million 575,300 0.8 million
Annual births minus deaths 1.9 million -7,200 2.1 million
Percent of population undernourished <2.5% <2.5% 74% hope this helps!