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sertanlavr [38]
3 years ago
13

If the length of AO is double the length of CO, the length of BO is?

Mathematics
1 answer:
andreev551 [17]3 years ago
7 0

BO is double that of DO. In other words, BO is two times longer than DO. The answer is choice B

For example, if DO were 3 units long, then BO would be 6 units long (2*3 = 6). This works because the triangles DCO and BAO are similar triangles. The corresponding sides are in the same ratio or proportion to one another. The larger triangle (BAO) has sides that are twice as long as the smaller triangle's (DCO) corresponding sides.

Side note: we can prove the triangles to be similar using the AA (angle angle) similarity theorem. The first pair of angles are the vertical angles DOC and BOA which are congruent to each other.The second pair is CDB and ABD which are congruent by the alternate interior angle theorem. Check out the attached image for a visual.

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stira [4]

Radius = 9cm

So,

Area of circle = πr²

= π(9)²

= π × 81 cm²

= 81π cm²

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2 years ago
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Vaselesa [24]

Answer:

c

Step-by-step explanation:

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2 years ago
Find the area under the curve y = 27/x3 from x = 1 to x = t. Evaluate the area under this curve for t = 10, t = 100, and t = 100
Darina [25.2K]

Answer:

Step-by-step explanation:

given is a function as

y=\frac{27}{x^3}

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The curve from x=1 lies in the I quadratnt.

So area  above x axis is to be calculated

Area = \int\limits^t_1 {\frac{27}{x^3} } \, dx \\=\frac{-27}{2x^2} \\= \frac{-27}{2t^2}-\frac{-27}{2}\\=\frac{27}{2}(1-\frac{1}{t^2} )

a) When t =10,

area = \frac{27}{2} (1-\frac{1}{10^2} )\\= 13.365

b) t=100

area = \frac{27}{2} (1-\frac{1}{100^2} )\\= 13.49865

c) t=10000

area = \frac{27}{2} (1-\frac{1}{10000^2} )\\= 13.5

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2 years ago
Solve using elimination.<br> 2x – 4y = 10<br> -3x + 4y = -19
Darina [25.2K]

Answer:

x= 9 y=2

Step-by-step explanation:

Add up the equations vertically to eliminate y.

-x=-9

change the signs:

x=9

substitute the given value of x into the equation 2x-4y=10

2(9)-4y=10

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6 0
3 years ago
81. What is the distance between (-5, 2) and (-9,-4)?
swat32

Answer:

Use the distance formula to determine the distance between the two points.

Distance

=

√

(

x

2

−

x

1

)

2

+

(

y

2

−

y

1

)

2

Substitute the actual values of the points into the distance formula.

√

(

4

−

(

−

5

)

)

2

+

(

9

−

2

)

2

Simplify.

Tap for more steps...

√

130

The result can be shown in multiple forms.

Exact Form:

√

130

Decimal Form:

11.40175425

…

image of graph

([)]|√>≥

789÷<≤

456/×

5 0
3 years ago
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