1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lesantik [10]
3 years ago
12

Which set of three angles could represent the interior angles of a triangle? *

Mathematics
1 answer:
oksian1 [2.3K]3 years ago
6 0
Use the triangle angle theorem:
All interior angles of a triangle equal 180 degrees.

If you use the theorem you should get the first one 19,70,91
You might be interested in
What is the perimeter of the shape below, given a = 9.60, b = 9.33, c = 4.46, d = 8.56, e = 8.61
GalinKa [24]

Answer:

The perimeter of the shape is of 40.56 units.

Step-by-step explanation:

Perimeter of a shape:

The perimeter of a shape is the sum of the lengths of all its sides.

In this question:

The sides are a = 9.60, b = 9.33, c = 4.46, d = 8.56, e = 8.61.

So

P = a + b + c + d + e = 9.6 + 9.33 + 4.46 + 8.56 + 8.61 = 40.56

The perimeter of the shape is of 40.56 units.

3 0
3 years ago
On a coordinate plane, a parabola opens up. It goes through (negative 6, 0), has a vertex at (negative 4, negative 4), and goes
dybincka [34]

Answer:The axis of symmetry is x=-4

The domain is all real numbers

The function is negative over (-6,-2)

Step-by-step explanation:

Its right

8 0
3 years ago
Read 2 more answers
The price of a particular stock is represented by the linear equation y = negative 0.91 x + 103.47, where x represents the numbe
Yuri [45]

Answer:

$92.55

Step-by-step explanation:

Substitute the value of x, which is in weeks, to 12.

so y = 0.91(12) + 103.47

y = 92.55

5 0
3 years ago
Read 2 more answers
10. Rewrite with only sin x and cos x. (1 point)
AlexFokin [52]
<span>10. Rewrite with only sin x and cos x.
sin 2x - cos 2x</span>

sin2x = 2sinxcosx<span>
cos2x = (cosx)^2 - (sinx)^2 = 2(cosx)^2 -1 = 1- 2(sinx)^2</span>

sin2x- cos2x=2sinxcosx-(1- 2(sinx)^2=2sinxcosx-1+2(sinx)^2

sin2x- cos2x=2sinxcosx-1+2(sinx)^2

<span>the answer is the letter <span>b) 2 sin x cos2x - 1 + 2 sin2x</span></span>

11. Find the exact value by using a half-angle identity. 
sin 22.5°Using the half angle formula you get:sin2(θ)=12[1−cos(2θ)]if θ=22.5° then 2θ=45°so you get:sin2(22.5°)=12[1−cos(45°)]sin2(22.5°)=12[1−√2/2]=2−√24and square root both sides:sin(22.5°)=±√2−√24=±0.382so 
sin(22.5°)=0.382the answer is the letter D) one half times the square root of quantity two minus square root of two
15. Verify the identity. 
cot x minus pi divided by two. = -tan x
Cot(x-pi/2)=-tan(x)
 sin(A − B) = sin A cos B − cos A sin B
sin(x – pi/2) = sin x cos (pi/2) − cos x sin (pi/2)=-cosx
 
cos(A − B) = cos A cos B − sin A sin B
cos(x− pi/2) = cos x cos pi/2 − sin x sin pi/2=-sinx
 Cot(x-pi/2)=cos(x-pi/2)/sin(x-pi/2)
= (-sinx)/(-cosx)=-tanx--------------ok

4 0
3 years ago
Read 2 more answers
onsider the equation below. (If an answer does not exist, enter DNE.) f(x) = 8 cos2(x) − 16 sin(x), 0 ≤ x ≤ 2π (a) Find the inte
MariettaO [177]

Answer:

(a) Increasing:\frac{\pi}{2}< x< \frac{3\pi}{2} and Decreasing:0< x< \frac{\pi}{2}\ \text{or}\ \frac{3\pi}{2}< x< 2\pi

(b) The local minimum and maximum values are -16 and 16 respectively.

(c) The inflection points are (\frac{\pi}{6},\ -2)\ \text{and}\ (\frac{5\pi}{6},\ -2)

Step-by-step explanation:

The function provided is:

f(x)=8cos^{2}(x)-16sin( x);\ 0\leq x\leq 2\pi

(a)

f(x)=8cos^{2}(x)-16sin( x);\ 0\leq x\leq 2\pi

Then, f'(x)=-16cos(x)sin(x)-16cos(x)=-16cos(x)[1+sin(x)]

Note, 1+sin(x)\geq 0\ \text{and }\ sin(x)\geq 1\\

Then, sin(x)=-1\Rightarrow x=\frac{3\pi}{2} for 0\leq x\leq 2\pi.

Also cos(x)=0.

Thus, f (x) is increasing for,

f'(x)>0\\\Rightarrow cos(x)

And f (x) is decreasing for,

f'(x)0\\\Rightarrow 0< x< \frac{\pi}{2}\ \text{or}\ \frac{3\pi}{2}< x< 2\pi

(b)

From part (a) f (x) changes from decreasing to increasing at x=\frac{\pi}{2} and from increasing  to decreasing at x=\frac{3\pi}{2}.

The local minimum value is:

f(\frac{\pi}{2})=8cos^{2}(\frac{\pi}{2})-16sin(\frac{\pi}{2})=-16

The local maximum value is:

f(\frac{3\pi}{2})=8cos^{2}(\frac{3\pi}{2})-16sin(\frac{3\pi}{2})=16

(c)

Compute the value of f'' (x) as follows:

f''(x)=16sin(x)[1+sin(x)]-16cos^{2}(x)\\\\=16sin(x)+16sin^{2}(x)-16[1-sin^{2}(x)]\\\\=32sin^{2}(x)+16sin(x)-16\\\\=16[2sin(x)-1][sin (x)+1]

So,

f''(x)>0\\\Rightarrow sin(x)>\frac{1}{2}\\\Rightarrow \frac{\pi}{6}

And,

f''(x)

Thus, f (x) is concave upward on (\frac{\pi}{6},\ \frac{5\pi}{6}) and concave downward on (0,\ \frac{\pi}{6}), (\frac{5\pi}{6},\ \frac{3\pi}{2})\ \text{and}\ (\frac{3\pi}{2},\ 2\pi).

If x=\frac{\pi}{6}, then f (x) will be:

f(\frac{\pi}{6})=8cos^{2}(\frac{\pi}{6})-16sin(\frac{\pi}{6})=-2

If x=\frac{5\pi}{6}, then f (x) will be:

f(\frac{5\pi}{6})=8cos^{2}(\frac{5\pi}{6})-16sin(\frac{5\pi}{6})=-2

The inflection points are (\frac{\pi}{6},\ -2)\ \text{and}\ (\frac{5\pi}{6},\ -2).

7 0
3 years ago
Other questions:
  • What is the difference between a sample mean and the population mean called?
    12·1 answer
  • Mrs. Steward needs to save (4.2 X 10^6) dollars for her children's college education. If she can save (1.4 X 10^2) each month, h
    10·1 answer
  • QUESTION 1
    11·2 answers
  • Sam is baking cakes at her parents' bakery. She gets paid $20 a week in addition to $4 for every cake she bakes. She made $60 th
    5·2 answers
  • I don’t get this...!!!
    12·1 answer
  • The level of water in a tank is 16 feet. The level decreases steadily, and the tank is emptied in 8 hours. What was the change i
    7·1 answer
  • Two girls and two boys went to the festival. The total cost of their tickets was $20. Each child paid the same amount for a tick
    11·1 answer
  • Is 3:2 and 10:5 equvalent?
    8·1 answer
  • Cindy has a salary of $880 per week and is paid every two weeks. She has the following deductions from each paycheck: Federal in
    11·1 answer
  • Lilly buys fresh fruit from a fruit stand. Apples cost $5 per pound and oranges cost $4 per pound. She has $40 to spend. The tab
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!