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alexira [117]
3 years ago
15

Suppose a triangle has sides a, b, and c, and let theta be opposite the side of length a. If cos theta < 0, what must be true

?
Mathematics
1 answer:
katrin2010 [14]3 years ago
6 0
If \cos \theta\ \textless \ 0, then angle \theta is obtuse and triangle with sides a, b, c is obtuse triangle.
In an arbitrary triangle can be only one obtuse angle, and the side which lies opposite to the largest angle is the largest. Then since <span>angle \theta is opposite the side of length a</span>  you can conclude that a>c and a>b.



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Based on the polynomial reminder theorem, what is the value of the function when x= -5
densk [106]

Answer:

-15

Step-by-step explanation:

Given is a polynomial in x

F (x)= x^4 + 12x^3 + 30x^2 - 12x + 70

We have to find the remainder when the above polynomial is divided by x+5

Remainder theorem says that f(x) gives remainder R when divided by polynomial x-a means f(a) = R

Applying the above theorem we can say that value of the function when x =-5

= Remainder when f is divided by x+5

= F(-5)

Substitute the value of -5 in place of x

= (-5)^4 + 12(-5)^3 + 30(-5)^2 - 12(-5) + 70

= 625-1500+750+60+70

= 5

Hence answer is 5

5 0
3 years ago
Read 2 more answers
If the area of a circle is 58 square feet, find the circumference. A. 42.5 ft. B. 4.25 ft. C. 22.35 ft. D. 26.99 ft.
PSYCHO15rus [73]

Answer: OPTION D.

Step-by-step explanation:

The formula for calculate the circumference of a circle is:

C=2r\pi

Where <em>r</em> is the radius.

The formula for calculate the area of a circle is:

A=r^2\pi

Where <em>r</em> is the radius.

Solve for <em>r</em> from A=r^2\pi to calculate it:

r=\sqrt{\frac{A}{\pi}}\\r=\sqrt{\frac{58ft^2}{\pi}}\\r=4.296ft

Subsitute the radius into C=2r\pi. Then:

C=(2)(4.296ft)\pi=26.99ft

3 0
3 years ago
Read 2 more answers
Wat (2a + 6d) equal to. it oder of operation
kondaur [170]
The answer will stay the same because you can't combine like terms.
Also I don't think it is Order of Ops because it doesn't have any exponets, etc.
~JZ
Hope it helps
3 0
2 years ago
Please help!<br><br> which multiplication expression is equivalent to
jenyasd209 [6]

the answer is C................................

5 0
2 years ago
How do you Evaluate?
slavikrds [6]
How do you evaluate: To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. In the example above, the variable x is equal to 6 since 6 + 6 = 12. If we know the value of our variables, we can replace the variables with their values and then evaluate the expression.
3 0
2 years ago
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