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mr Goodwill [35]
3 years ago
7

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
Mathematics
2 answers:
Levart [38]3 years ago
6 0
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 <span>b^2+c^2>a^2. The answer is letter A.</span>
AURORKA [14]3 years ago
3 0

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

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15 point question
Natalka [10]

Answer:

It will cost $12.5 per person to charter a bus for 36 passengers

Step-by-step explanation:

The cost per person c of chartering a tour bus  varies inversely as the number of passengers  n.

We can write:

c\:\alpha \:\frac{1}{n} \\c=\frac{k}{n}

where k is constant of proportionality

We are given when c = 22.50, n = 20

We need to find c when n = 36

First using c = 22.50, n = 20 we will find k, the constant of proportionality

c=\frac{k}{n}\\22.50=\frac{k}{20}\\k=22.50 \times 20\\k=450

So, we get k = 450

Now, we will find c when n = 36

c=\frac{k}{n}\\c=\frac{450}{36}\\c=12.5

So, we get the value of c: c = 12.5

Therefore, It will cost $12.5 per person to charter a bus for 36 passengers

8 0
3 years ago
Given the function f(x) = 4(2)x, Section A is from x = 1 to x = 2 and Section B is from x = 3 to x = 4.
Dmitry [639]

Answer:

Step-by-step explanation:

I'm sure you want your functions to appear as perfectly formed as possible so that others can help you.  f(x) = 4(2)x should be written with the " ^ " sign to denote exponentation:  f(x) = 4(2)^x

                                                                                      f(b) - f(a)

The formula for "average rate of change" is a.r.c. = --------------

                                                                                           b - a

                                    change in function value

This is equivalent to  ---------------------------------------

                                            change in x value

For Section A:  x changes from 1 to 2 and the function changes from 4(2)^1 to  4(2)^2:  8 to 16.  Thus, "change in function value" is 8 for a 1-unit change in x from 1 to 2.  Thus, in this Section, the a.r.c. is:

                 8

               ------ = 8 units    (Section A)

                  1

Section B:  x changes from 3 to 4, a net change of 1 unit:  f(x) changes from

4(2)^3 to 4(2)^4, or 32 to 256, a net change of 224 units.  Thus, the a.r.c. is

        224 units

      ----------------- = 224 units (Section B)

            1 unit

The a.r.c for Section B is 28 times greater than the a.r.c. for Section A.

This change in outcome is so great because the function f(x) is an exponential function; as x increases in unit steps, the function increases much faster (we say "exponentially").

7 0
3 years ago
What is the solution to the equation 1/4x-1/8=7/8+1/2x?<br><br> X=-5<br> X=-4<br> X=4
Rama09 [41]

the answer is x=-4 hope it helps

3 0
2 years ago
Write the interval (5,100] as an inequality and using set notation
drek231 [11]

Answer: { x | 5 < x ≤ 100 }  OR  { x ∈ ℝ | 5 < x ≤ 100 }

Step-by-step explanation:

{ x | 5 < x ≤ 100 }

This means:

"The set of all x's, such that x is greater than 5 and less than or equal to 100"

Another acceptable way to write this is

{ x ∈ ℝ | 5 < x ≤ 100 }

"x ∈ ℝ" simply means x is an element of all real numbers

7 0
3 years ago
Which statement completes the proof that the sum of the angles of triangle PRQ is 180°? Statement Justification
vichka [17]
M∠1 + m∠RPQ + m∠5 = 180° Definition of a Straight Angle

proof :  mes1= PRQ (alternate interior)

RPQ = 3 Opposite angle (vertex)
5 =Q  (alternate interior)
PRQ + RPQ + RQP = 180
7 0
3 years ago
Read 2 more answers
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