Step-by-step explanation:
this creates 2 similar triangles.
that means all angles are the same. and all the side lengths of one triangle correlate to the corresponding side lengths of the other triangle by the same multiplication factor.
her shadow is 23.05 - 18.9 = 4.15 m long.
the factor between the shadow lengths is then
4.15 × f = 23.05
f = 23.05 / 4.15 = 5.554216867...
the same factor now applies to the relation of the heights :
1.45 × 5.554216867... = 8.053614458... m
rounded the tree is 8.05 m tall.
Step-by-step explanation:
8.35 < 3x + 18.75
3x + 18.75 > 8.35
3x > 8.35 - 18.75
3x > -10.4
x > -3.47
Angles T and V of the parallelogram are equal to 91°.
Calculating the Value of x
In the parallelogram TUVS, adjacent angles U and V are given as,
U = 4x+9
V = 6x-29
Since U and V are adjacent angles, and as per the properties of a parallelogram, sum of adjacent angles is equal to 180°.
4x+9 + 6x-29 = 180
10x - 20 =180
10x = 200
x = 20
Calculating the Angles of the Parallelogram
∠U = 4x + 9
∠U = 4(20) + 9
∠U = 80 + 9
∠U = 89°
∠V = 6x - 29
∠V = 6(20) - 29
∠V = 120 - 29
∠V = 91°
According to the properties of a parallelogram, opposite angles are of equal measure.
∴ ∠T = ∠V and ∠S = ∠U
⇒ ∠T = 91° and ∠S = 89°
Learn more about a parallelogram here:
brainly.com/question/1563728
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Answer:
1
Step-by-step explanation:
Because it y is 0 then we can find the X intercepts. so there will be one X intercept.
Answer:
Step-by-step explanation:
Since radar reports 30 tracks in one minute in which 60 seconds makes 1 minute
Let calculate using this formula
Using this formula
Percentage of time=Tracks reported in minutes/60 seconds*100
Let plug in the formula
Percentage of time=30 tracks/60 seconds*100
Percentage of time=0.5*100
Percentage of time=50%
Inconclusion The percentage of the time that radar track the aircraft is 50%