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irga5000 [103]
3 years ago
12

In circle D with m \angle CDE= 122m∠CDE=122 and CD=6CD=6 units, find the length of arc CE. Round to the nearest hundredth.

Mathematics
1 answer:
antoniya [11.8K]3 years ago
3 0

Answer:

12.78 units

Step-by-step explanation:

The formula for arc length =

2πr × θ/360

From the question:

θ = 122°

r = 6 units

Therefore, the arc length =

2 × π × 6 × (122/360)

= 12.775810125 units

Approximately to the nearest hundredth = 12.78 units

Therefore, the length of arc CE is 12.78 units

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Find the area of the triangle defined by the coordinates (7,1). (0, 10), and (9,4). (To the nearest tenth)
elena-14-01-66 [18.8K]

Answer:

19.5

Step-by-step explanation:

The area of a triangle given 3 coordinates can be solved using the formula:

Area=|\frac{A_x(B_y-C_y)+B_x(C_y-A_y)+C_x(A_y-B_y)}{2}|

Where

A_x is x coordinate of first point (here 7)

A_y is y coordinate of first point (here 1)

B_x is x coordinate of 2nd point (here 0)

B_y is y coordinate of 2nd point (here 10)

C_x is x coordinate of 3rd point (here 9)

C_y is y coordinate of 3rd point (here 4)

Plugging these into the formula, we get out answer:

Area=|\frac{A_x(B_y-C_y)+B_x(C_y-A_y)+C_x(A_y-B_y)}{2}|\\Area=|\frac{7(10-4)+0(4-1)+9(1-10)}{2}|\\Area = |\frac{7(6)+0+9(-9)}{2}|\\Area=|-19.5|\\Area = 19.5

Hence, the area is 19.5

3 0
3 years ago
The value of the x-intercept for the graph of 4x-5y=40 is
Alik [6]
\hbox{x-intercept - y=0}: \\
4x-5 \times 0=40 \\
4x=40 \\
x=\frac{40}{4} \\
\boxed{x=10}
8 0
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I need help with this equation: <br><br> 12x+15=99
statuscvo [17]

Answer:

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Step-by-step explanation:

3 0
3 years ago
A square garden has a side length of 11 meters. What is the area of the garden? What is the perimeter?
Talja [164]

Answer:

<em>Area</em><em> </em><em>of</em><em> </em><em>the</em><em> </em><em>garden</em><em>=</em><em>1</em><em>2</em><em>1</em><em> </em><em>square</em><em> </em><em>meter</em>

<em>perimeter</em><em> </em><em>of</em><em> </em><em>the</em><em> </em><em>garden</em><em>=</em><em>4</em><em>4</em><em> </em><em>meter</em>

Step-by-step explanation:

Area of a square=side*side

=11*11

=<u>1</u><u>2</u><u>1</u><em><u>s</u></em><em><u>q</u></em><em><u>u</u></em><em><u>a</u></em><em><u>r</u></em><em><u>e</u></em><em><u> </u></em><em><u>meter</u></em>

Perimeter of a square garden=side*4

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6 0
4 years ago
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If 3b + 4 = 10, then 5b + 4 =
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Answer:

12

Step-by-step explanation:

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