Hi there!
To solve this problem, we need to simplify.
5x + 32 = 4 - 2x
7x + 32 = 4
7x = -28
x = -4
Hope this helps!
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Formula
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Area of circle = πr²
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Find Radius
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200.96 = πr²
r² = 200.96 ÷ π
r² = 63.97
r = √63.97
r = 8 km (nearest hundredth)
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Formula
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Circumference = πD
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Find Diameter
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Diameter = Radius x 2
Diameter = 8 x 2
Diameter = 16 km
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Find Circumference
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Circumference = πD
Circumference = π (16)
Circumference = 25.13 km
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Answer: Circumference = 25.13km
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Answer:
a) 9 out of 1000
Step-by-step explanation:
0.9% = .009 = 9/1000
Answer:
<h3>The number is - 10</h3>
Step-by-step explanation:
quotient of a number and -5 is written as
Equate it to 2
We have
Cross multiply
That's
x = 2 × - 5
x = - 10
Hope this helps you
The complete question asks "If mDB <span>= 60° and PE = 3, then PB =?"
The correct answer is
C) PB = 6.
Explanation:
See the attached picture for reference.
We know
</span>∠DBP = 60°
PB ≡ PD because they are both radius of the circunference, which means that ΔPDB is an isosceles triangle of base DB.
As a consequence, ∠DBP ≡ <span>∠PDB = 60°.
But then </span>∠DPB = 180 - 60 - 60 = 60°.
An isosceles triangles with all the angles measuring 60° is an equilateral triangle.
In an equilateral triangle, the height (DE) cuts into to equl parts the side PB, which means that PE = (1/2) PB
We know PE = 3, therefore
PB = 2 × PE
= 2 × 3
= 6
Hence,
PB = 6.