Suppose a triangle has sides a, b, and c let theta be the angle opposite the side of length a. If cos theta < 0 what must be true? a- b^2+c^2>a^2
b- a^2+b^2=c^2
c- b^2+c^2 d- a^2+b^2>c^2

Answers

Answer 1
Answer: Suppose a triangle has sides a, b, and c let theta be the angle opposite the side of length a. If cos theta < 0 The statement that is true is b^2+c^2>a^2. The answer is letter A.
Answer 2
Answer:

b^2+c^2<a^2 just took test


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Proper inverse operation 14 + 17 = 31

PLEASE HELP, CURRENTLY STUCK ON THIS QUESTION ! Find the general term for the sequence -3, 1, 5, 9, ....

Answers

\bf -3~~,~~\stackrel{-3+4}{1}~~,~~\stackrel{1+4}{5}~~,~~\stackrel{5+4}{9}...~\hspace{5em}\stackrel{\textit{common difference}}{d = 4} \n\n[-0.35em] ~\dotfill\n\n \stackrel{\textit{general term}~\hfill }{n^(th)\textit{ term of an arithmetic sequence}} \n\n a_n=a_1+(n-1)d\qquad \begin{cases} a_n=n^(th)\ term\n n=\textit{term position}\n a_1=\textit{first term}\n d=\textit{common difference}\n \cline{1-1} a_1=-3\n d=4 \end{cases} \n\n\n a_n=-3+(n-1)4\implies a_n=-3+4n-4\implies a_n=4n-7

Find the area of the trapezoid at the right. the left side is 5cm, the the top is 6cm, the side is 5.4cm, and the bottom on the right is 2cm.

Answers

Answer:

To find the area of a trapezoid, we can use the formula:

Area = (1/2) × (sum of bases) × (height)

In this case, the bases are 6 cm and 2 cm, and the height is the distance between them, which we can find using the Pythagorean theorem:

height² = (side)² - (difference of bases/2)²

height² = 5.4² - (2-6/2)²

height² = 29.16 - 9

height² = 20.16

height = √20.16

height ≈ 4.49 cm

Now we can plug in these values to find the area:

Area = (1/2) × (6 + 2) × 4.49

Area = 4 × 4.49

Area = 17.96 cm²

Therefore, the area of the trapezoid is approximately 17.96 square centimeters.

Step-by-step explanation:

The data set represents the number of rings each person in a room is wearing.0, 2, 4, 0, 2, 3, 2, 8, 6

What is the interquartile range of the data?

2
3
4
6

Answers

Answer:

the interquartile range of the data is:

                                   4

Step-by-step explanation:

We are given a data set as:

             0, 2, 4, 0, 2, 3, 2, 8, 6

On arranging the data in the ascending i.e. increasing order is given by:

    0     0     2     2    2    3      4      6     8

The minimum value of data set=0

Maximum value of data set is: 8

Range of data set= Maximum value-Minimum value

i.e. Range= 8-0

i.e. Range= 8

Also, Median of set is the central tendency of the data and is given by:

Median=  2

Lower set of data is:

                0    0     2    2

Hence, The median of lower set of data is the lower quartile or first quartile.

i.e. Q_1

Hence, Q_1=(0+2)/(2)\n\n\nQ_1=(2)/(2)\n\n\nQ_1=1

Hence, Lower quartile=1

Similarly upper set of data is:

                    3      4      6     8

Hence, The median of upper set of data is the upper quartile or third quartile.

i.e. Q_3

Hence, Q_3=(4+6)/(2)\n\n\nQ_3=(10)/(2)\n\n\nQ_3=5

Hence, Upper quartile=5

Hence, the interquartile range(IQR) is given by:

IQR=Upper quartile-Lower quartile

IQR=5-1

                                    IQR=4

If the data set represents the number of rings each person is wearing, being: 0,2,4,0,2,3,2,8,6, the interquartile range of the data is 2. Being, 4 as the Q1, 3 as the Q2 or median, and 6 as the Q3. Where the formula of getting the interquartile range is IQR= Q1-Q2.

Line KL has an equation of a line y = 4x + 5. Which of the following could be an equation for a line that is perpendicular to line AB? (6 points)y = 4x − 8

y = 1 over 4x − 8

y = −4x − 8

y = −1 over 4x − 8

Answers

To find a perpendicular slope (or line), the slope (in this case 4x) must be the opposite sign and its reciprocal, which is basically the fraction flipped upside down. Since 4 is technically 4/1, that fraction flipped is 1/4. And since you need to flip the sign too, instead of it being a positive number, it's negative. Your answer is -1/4x-8
y = -1 over 4x - 8 is the answer I think

It is estimated that approximately one-half of all aluminum cans will be recycled each year. If a soft drink company produces 350,000 cans one year, how many cans are still in use after 4 years of recycling and re-using, using this function? Nt = 350,000(0.52)t

Answers

The answer to the question above is calculated by substituting 4 to variable t of the given function. 
                                       Nt = 350,000(0.52)(4)

The substituted function gives an answer of 728,000. Therefore, with the given condition of recycling, about 728, 000 cans can still be used. 

Answer

Step-by-step explanation:

Timers at a track meet used four different clocks to time an event. Which recorded time is the most precise?31.3 s

31.26 s

31 s

31.256 s

Answers

(d)31.256 is the most precise as it has most significant figures among them.
I would say 31.256s because it has 5 significant digits.