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Minchanka [31]
2 years ago
6

Predict whether the product will be greater than, less than or equal to the second factor. 1/5 x 3/4

Mathematics
1 answer:
charle [14.2K]2 years ago
6 0

Answer:

14

Step-by-step explanation:

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Find the length of the tangent segment AB to the circles centered at O and O' whose radii are a and b respectively when the circ
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Answer:

AB=2\sqrt{ab}

Step-by-step explanation:

From figure,

OA=a,  \quad \quad O'B=b\\\Rightarrow OO'= (a+b) \quad \quad \text{and}\quad OD=(a-b)

In triangle OO'D

  (OO')^2=(OD)^2+(O' D)^2

\Rightarrow (a+b)^2=(a-b)^2+(O' D)^2\\\Rightarrow a^2+b^2+2ab-a^2-b^2+2ab=(O' D)^2\\\Rightarrow 4ab=(O' D)^2\\\Rightarrow O'D=2\sqrt{ab} \\\Rightarrow O' D=2\sqrt{ab}=AB \quad \quad [\because O' DAB\;\; \text{is a rectangle.}]

Hence, AB=2\sqrt{ab}

6 0
3 years ago
What’s the answer need help ?
Zielflug [23.3K]

Answer:

B

Step-by-step explanation:

Just move point D over 6 and down 10

4 0
3 years ago
P varies directly as Q and inversely as the square of R. If P = 1 when Q = 8 and R = 2.
Georgia [21]

Answer:

q

Step-by-step explanation:

3 0
2 years ago
Arc AB is One-sixth of the circumference of a circle. What is the radian measure of the central angle? StartFraction pi over 6 E
oksian1 [2.3K]

Answer:

StartFraction pi Over 3 EndFraction

Step-by-step explanation:

we know that

The circumference of a circle subtends a central angle of 360 degrees or 2π radians

so

by proportion

Find out the central angle for an arc equal to One-sixth of the circumference of a circle

Let

x -----> the measure of the central angle in radians for an arc equal to One-sixth of the circumference

\frac{C}{2\pi}=\frac{(C/6)}{x}\\\\x=2\pi(C/6)/C\\\\x=\frac{2\pi}{6}

Simplify

x=\frac{\pi}{3}

therefore

StartFraction pi Over 3 EndFraction

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3 years ago
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