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3 years ago

The length of chord AB in D is 9mm. If the measure of angle AB is 32 then find the length of AB

1 answer:

Taya2010 [7]3 years ago

5 0

The length of arc AB is 9.12 mm:

We first calculate for the radius r of the circle using the equation
r = c/(2 sin[theta/2])

where c is the length of chord AB that is given as 9 millimeters
angle given is 32 degrees

To convert theta 32 degrees into radians:
32 degrees * (pi/180) = 32 degrees * (3.14/180) = 0.5583 radians

We now substitute the values into the equation to find the radius r:
r = 9/(2 sin[0.5583/2])
r = 16.33 mm
.
We can finally solve for the length s of arc:
s = r theta = 16.33 * 0.5583 = 9.12 mm

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For questions 5a–5d, choose the the pair of numbers in which 3 is the GCF

Nadya [2.5K]

15 & 27 would be the correct pair

5 0

2 years ago

A hole is poked in a balloon so that every minute the balloon loses 3/10ft 3 of air. What is the total change in the number of c

GaryK [48]

5/9 minutes

amount lost=times times amout lost per unit of time
amount lost=5/9 times 3/10
amount lost=15/90
amount lost=5/30
amount lost=1/6

answer is 1/6 ft³ of air

6 0

3 years ago

Lincoln middle school plans to collect more than 2,000 cans of food in a food drive. So far, 668 cans have been collected. WRITE

AURORKA [14]

Let x be the unknown number.

7x + 668 < 2000    => 7x plus 668 is less than 2000

where:
7x => x represents the number of cans to be collected in 7 days
668 is the number of cans already collected.
2000 is the target number of cans.

7x + 668    < 2000
<u>    - 668    -668</u>
7x < 1332
<u>÷7 ÷7</u>
x < 190.30
or
x < 190

To check:

7x + 668 < 2000
7(190) + 668 < 2000
1330 + 668 < 2000
1998 < 2000

8 0

3 years ago

Read 2 more answers

Use a graphing utility to graph the function and the damping factor of the function in the same viewing window.

Bas_tet [7]

Answer:

The function touches the damping factor

at x= $\frac{(4n-3)\pi}{2}$ and x= $\frac{(4n-1)\pi}{2}$

The x-intercept of f(x) is

at x= $n\pi$

Step-by-step explanation:

Given function is f(x)= $e^{-3x} sin(x)$ and damping factor as y= $e^{-3x}$ and y= $(-1)e^{-3x}$

To find when function touches the damping factor:

For f(x)= $e^{-3x} sin(x)$ and y= $e^{-3x}$

Equating the both the equation,

$e^{-3x} sin(x)=e^{-3x}$

$sin(x)=1$

x= $\frac{(4n-3)\pi}{2}$

For f(x)= $e^{-3x} sin(x)$ and y= $(-1)e^{-3x}$

Equating the both the equation,

$e^{-3x} sin(x)=(-1)e^{-3x}$

$sin(x)=(-1)$

x= $\frac{(4n-1)\pi}{2}$

Therefore, The function touches the damping factor x= $\frac{(4n-3)\pi}{2}$ and x= $\frac{(4n-1)\pi}{2}$

To find x-intercept of f(x):

For x-intercept, y=0

f(x)= $e^{-3x} sin(x)$

y= $e^{-3x} sin(x)$

$e^{-3x} sin(x)=0$

Hence, $e^{-3x}$ is always greater than zero.

Therefore, $sin(x)=0$

x= $n\pi$

Thus,

The x-intercept of f(x) is at x= $n\pi$

7 0

3 years ago

If a square has an area of 225 square feet what is the length of each side

sdas [7]

The area of the square: $A=a^2$

where "a" is a length of side.

Therefore:
$A=225\ ft^2\ and\ A=a^2\Rightarrow a^2=225\Rightarrow a=\sqrt{225}\Rightarrow \boxed{a=15\ (ft)}$

3 0

3 years ago