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aleksklad [387]
3 years ago
5

This is measure of angle b

Mathematics
1 answer:
Stells [14]3 years ago
3 0

Step-by-step explanation:

1) 180-125=55°

2) 90-67=23°

3) 180-102=78°

4) 90-30=60°

5) 180-129=51°

6) 180-155=25°

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5 0
3 years ago
A large city in the ancient world was square-shaped. measured in miles, its area numerically exceeded its perimeter by about 132
melisa1 [442]
Area = perimeter + 132.  

Let  each side of the city be x miles long, then:-

x^2 = 4x  + 132
x^2 - 4x - 132 = 0

x  =  [-(-4) +/- sqrt((-4)^2 - 4 * 1 *-132)] / 2

x = 13.66, -9.66   We ignore the negative

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13.7 * 13.7   to nearest 10th
7 0
3 years ago
Circuit Training If sin0 =1 and 0 <0< π find 0.
valkas [14]

Answer:

\theta = \frac{\pi}{2}

Step-by-step explanation:

Given

\sin(\theta) = 1

0 < \theta < \pi

Required

Find \theta

0 < \theta < \pi implies that \theta is between 0 and 180 degrees

\sin(\theta) = 1

Take arcsin of both sides

\theta = sin^{-1}(1)

This gives:

\theta = \frac{\pi}{2}

Convert to degrees

\theta = \frac{\pi}{2} * \frac{180}{\pi}

\theta = 90

We have:

0 < \theta < \pi or 0 < \theta < 180

To get other values of \theta

We use:

\sin(\theta) = \sin(180 - \theta)

Substitute: \theta = 90

\sin(90) = \sin(180 - 90)

\sin(90) = \sin(90)

<em>This means that there are no other values of </em>\theta<em> in the given range</em>

7 0
3 years ago
Gisele has $5.90 in quarters and nickels. If Gisele has 16 more nickels than quarters, how many quarters does she have? [I don't
Elena-2011 [213]

Answer: There are 17 quarters.

Step-by-step explanation:

Let x = Number of quarters and  Number of nickels =x+16

∵ 1 nickel = $0.05, 1 quarter = $0.25

value of x quarters = 0.25 x

value of x+16  nickels = 0.05(x+16)

Then, as per given,

0.05(x+16)+0.25 x= 5.90 \\\\\Rightarrow\ 0.05x+0.8+0.25x=5.90\\\\\Rightarrow\ 0.30x=5.9-0.8\\\\\Rightarrow\ 0.30x=5.1\\\\\Rightarrow\ x=\dfrac{5.1}{0.30}=\dfrac{51}{3}\\\\\Rightarrow\ x=17

Hence, there are 17 quarters.

3 0
3 years ago
11. Find the roots of x2 - 8x + 4 = 0, in simplest radical form.
Art [367]

Answer: -6=-4 or x=2,3

Step-by-step explanation:

8 0
3 years ago
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