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Rus_ich [418]
3 years ago
6

For an Isosceles triangle of base b and congruent sides, x units long, what is the range of angle measures for the angle measure

s for the angle opposite the base?
Mathematics
1 answer:
olga2289 [7]3 years ago
3 0

Answer:

the desired range is 0° < angle < 180°

Step-by-step explanation:

If 2x were just slightly less than b, then the angle opposite the base would be just less than 180 degrees.

The larger the value of x, the further the intersection of the two congruent sides is moved away from the base b.  The angle between these two congruent sides would approach but never equal zero.

Thus, the desired range is 0° < angle < 180°

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How do you solve that?
Aleks [24]
Put it in the form 

ax^2 + bx + c = 0 

use the quadratic formula

x =  [ -b + sqrt( b^2 - 4 ac )  ] / 2a


x =  [ -b - sqrt( b^2 - 4 ac )  ] / 2a

7v^2 - 7v - 22 = 0

a = 7 
b = -7
c = -22

v = [  7 + sqrt ( 49 - 4 * 7 ( -22) ] / 2 * 7  = 2.34

v = [  7 - sqrt ( 49 - 4 * 7 ( -22) ] / 2 * 7  = -1.34


7 0
3 years ago
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Si la época prehistórica sucedió desde hace 2.5 millones de años a.C., hasta hace 2.500 años a.C.; el período Paleolítico (2.5 m
tia_tia [17]

Answer:

El período paleolítico corresponde a \frac{332}{333} de la época prehistórica.

Step-by-step explanation:

En primer lugar, se determina la extensión de tiempo, medida en años, tanto de la época prehistórica como el período paleolítico: (Nótese que el signo negativo significa a.C.)

Época Prehistórica

\Delta T = -2500-(-2500000)

\Delta T = 2497500\,years

Período Paleolítico

\Delta t = -10000 - (-2500000)

\Delta t = 2490000\,years

La fracción de la época prehistórica que corresponde al período paleolítico es:

r = \frac{\Delta t}{\Delta T}

r = \frac{2490000\,years}{2497500\,years}

r = \frac{332}{333}

El período paleolítico corresponde a \frac{332}{333} de la época prehistórica.

5 0
4 years ago
Evaluate.
harina [27]

Answer:

I got .96

Step-by-step explanation:

2+23 is 25. 25 devided by 12 is .48. Times that by 2 and you get . 96. clearly that's not an option though so I'm not sure. sorry. did you make a typo by any chance?

3 0
2 years ago
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A vertical pole 6 feet long casts a shadow 55 inches long. Find the angle of elevation of the sun. Draw a diagram and find the a
ivolga24 [154]

A vertical pole(AB) 6 feet long casts a shadow(CB) 55 inches long as shown in the attached image. Since the angle of elevation of sun is \angle C. We hav to find the value of \angle C.

Firstly, we will change the dimensions of pole(in feet) to the dimension of shadow( in inches) . So, that the dimensions of pole and shadow are same.

Since, 1 feet = 12 inches.

6 feet = 6 \times 12 = 72 inches.

Now, let us consider the triangle ABC in the attached image,

We have to find \angle C

tan\Theta =\frac{Perpendicular}{base}

\tan C= \frac{AB}{BC}= \frac{72}{55}

= 1.309

= 52.6^{\circ} = 53^{\circ}

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3 years ago
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What is a if... 3a-5 = 7a-33
Paladinen [302]

The value of a is 7.

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3 years ago
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