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kogti [31]
3 years ago
14

What is the measure of angle B in degrees? A triangle has angles A, C, 51 degrees. Angle A has exterior angle B and angle C has

an exterior angle with measure of 112 degrees. °
Mathematics
1 answer:
adoni [48]3 years ago
6 0

Step-by-step explanation:

The angle adjacent to 112° will form a straight angle along with 112° adding to 180°. That makes C: 68°

a+c+51 = 180

a+68°+51° = 180°

a+119° = 180°

a = 180° - 119°

a = 61°

a+b = 180°

61+b = 180

b = 180-61

b = 119°

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Find the discriminant<br> 9x^2+14x+13=8x^2
tiny-mole [99]

Answer:

The discrimant of this equation is 144.

Step-by-step explanation:

First you have to move all the variables to one side to make the equation/expression into 0 by substracting 8x² to both sides :

9x² + 14x + 13 = 8x²

9x² + 14x + 13 - 8x² = 8x² - 8x²

x² + 14x + 13 = 0

It is given that the formula of discriminant is, D = b² - 4ac where a&b&c represent the number of the equation, ax²+bx+c = 0 :

x² + 14x + 13 = 0

D = b² - 4ac

= 14² - 4(1)(13)

= 196 - 52

= 144

8 0
3 years ago
Where does the oxygen that is used during cellular respiration in animals
Softa [21]

Answer:

A. Air that is breathed in :)

6 0
3 years ago
Sally gets paid $15.00 dollars per hour for a 40-hour work week and y dollars for each hour she works over 40 hours. What is the
Anna35 [415]

The equation x = 600 + 8y represents the earnings of Sally if she works 48 hours.

<u>Step-by-step explanation:</u>

  • Sally gets paid $15.00 dollars per hour for a 40-hour weekly work.
  • She gets y dollars for each extra hour she works over 40 hours.

<u>The equation can be framed as :</u>

Let,

  • x be the total pay she could get for 48 hours.
  • The amount she earned for 40 hours = 40 × $15 ⇒ $600
  • The amount she earned for extra hours = 8 × y ⇒ 8y

The equation is given as,

Total earnings = amount earned for 40 hours + amount for extra 8 hours.

⇒ x = 600 + 8y

Therefore, the equation x = 600 + 8y represents the earnings of Sally if she works 48 hours.

4 0
3 years ago
Write 0.0002507 in scientific notation.
Serggg [28]

Answer:

2.507* 10^-4

Step-by-step explanation:

0.0002507

We need to have one number to the left of the decimal

We move the decimal 4 places to the right

Since we moved the decimal to the right, the exponent on the power of 10 is negative

2.507* 10^-4

7 0
3 years ago
Pleas help me solve #1 :( <br> Your answer helps so much!!
miskamm [114]

ANSWER

y = 7 \sqrt{2}

x = 7

EXPLANATION

The given triangle has a right angle.

The side opposite to the 45° angle is 7 units.

To find angle x, we use the tangent ratio.

Recall the mnemonics TOA, which means,

\tan(45 \degree)  =  \frac{opposite}{adjacent}

\tan(45 \degree)  =  \frac{7}{x}

1 =  \frac{7}{x}

x = 7

To find y, we use the sine ratio, which means

\sin(45 \degree)  =  \frac{opposite}{hypotenuse}

\sin(45 \degree)  =  \frac{7}{y}

y=  \frac{7}{\sin(45 \degree) }

y=  \frac{7}{ \frac{1}{ \sqrt{2} } }

y = 7 \times  \frac{ \sqrt{2} }{1}

y = 7 \sqrt{2}

3 0
3 years ago
Read 2 more answers
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