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
devlian [24]
3 years ago
12

quick question heh.... How do you know when to use the Secant-Secant Prodict Theorem or the Secant-Tangent Product Theorem?

Mathematics
1 answer:
Vaselesa [24]3 years ago
6 0
You use the theorem you can apply to your problem.

If there is no tangent, the secant-tangent product theorem cannot apply.
If you don't have two secants, the secant-secant product theorem cannot apply.
You might be interested in
jerome bought 2 postcards and received $1.35 in change in quarters and dimes. If he got coins back, how many of each coin did he
Butoxors [25]
There are many possibilities

11 dimes and 1 quarter

6 dimes and 3 quarters

1 dime and 6 quarters

Much more...
7 0
3 years ago
INFO: The chairs are evenly spaced around
lana66690 [7]

Answer: About 72 feet

The more accurate value is roughly 71.7260397 feet (however, this value isn't fully exact either).

======================================================

Explanation:

Check out the diagram below. It's effectively the same diagram your teacher provided, but I've added points M and N. I've left out any unnecessary lines.

  • M = center of the circle
  • N = location where the cable is anchored to the ground

We're told that "(the length of cable from) E to the ground is 35 feet", so this is the red portion of cable that I've marked this as NE = 35, ie segment NE is 35 feet long. We're also told that NF = 40 feet, which is also shown in red.

The blue portions are chords of the circle. We're given one chord as LE = 80 ft, while the other chord JF is what we want to find out.

-----------------

What we need to find is the radius of this circle. Right away, it's not clear what the radius is; however, we can use the chord LE = 80 to help find it.

It turns out that the chord length c is connected to the radius r and central angle theta like so:

c = 2*r*sin(0.5*theta)

where theta must be in radian mode. The central angle subtends the arc that forms the chord in question.

If we started at point L, and counted the number of spaces to get to E while going clockwise, then we can see that there are 5 spaces

Those five spaces could be written as

  1. The jump from L to A
  2. The jump from A to B
  3. The jump from B to C
  4. The jump from C to D
  5. The jump from D to E

Or you could mark it as such on the diagram for a visual reference. Overall, the circle has been cut into 12 equal slices. So going from L to E, going clockwise, will have us take up 5/12 of the full circle.

There are 2pi radians in a full circle, meaning the central angle LME is (5/12)*2pi = 5pi/6 radians.

-----------------

Plug theta = 5pi/6 and c = 80 into the formula mentioned. Isolate the radius.

c = 2*r*sin(0.5*theta)

80 = 2*r*sin(0.5*5pi/6)

80 = 2*r*sin(5pi/12)

80 = 2*r*0.9659258

80 = 2*0.9659258*r

80 = 1.9318516r

1.9318516r = 80

r = 80/1.931 8516

r = 41.4110483

The radius is approximate. The radius is in feet. Make sure your calculator is in radian mode.

-----------------

Now that we know the radius, we can determine how long chord JF is.

The central angle for chord JF is angle JMF

If we start at J and go to F, along the shorter path, then we've gone 4 spaces. This is 4/12 = 1/3 of the full circle. So the radian measure of angle JMF is (1/3)*2pi = 2pi/3 radians.

So,

c = 2*r*sin(0.5*theta)

c = 2*41.4110483*sin(0.5*2pi/3)

c = 71.7260397

Chord JF is roughly 71.7260397 feet long.

When rounding to the nearest foot, that's about 72 feet.

6 0
3 years ago
A. The slope of the curve y=x^3- 1 at the point P(1,0) is<br> .
Ierofanga [76]

Answer:

3

Step-by-step explanation:

The measure of the slope is \frac{dy}{dx} at x = a

Differentiate using the power rule

\frac{d}{dx}(ax^{n}) = nax^{n-1}

Given

y = x³ - 1, then

\frac{dy}{dx} = 3x²

The slope at (1, 0) is

\frac{dy}{dx} = 3(1)² = 3

5 0
3 years ago
4. Joe likes sports. He has 4 soccer medals, 1 tennis medal, 3 swimming medals and 5
Lady_Fox [76]

Answer:

4:3

Step-by-step explanation:

He has 4 Soccer Medals, 3 Swimming Medals

So it would be 4:3

6 0
3 years ago
What’s the answer to this?
Gnoma [55]

Answer:

A = Heterozygous

B = Capital

C = Capital

G = Heterozygous

Step-by-step explanation:

Depends on which is dominant (Captital Letter)

If both are the same (lowercase or uppercase) eg TT, or tt They are capital

If different casings, they are Heterozygous.

(DUE TO Brainly disliking the word please refer Capital as H,o,m,o,z,y,g,o,u,s

3 0
3 years ago
Other questions:
  • Name the fourth in pane wxv
    12·1 answer
  • A five pound bag of sugar costs $6.00 How much does a 15 pound bag cost?
    8·2 answers
  • Is the inequality always, sometimes or never true?
    13·1 answer
  • Carolina goes to a paintball field that charges an entrance fee of \$18 and $0.08, per ball. The field has a promotion that says
    14·1 answer
  • Write an equation in slope-intercept form. The slope is -2; the y-intercept is 5.​
    12·1 answer
  • two groups collect litter along the side of the road. it takes each group 5 minutes to clean a 2 yd section. how long would it t
    7·1 answer
  • HELP MEEEEEEEE PLZZZZ
    14·1 answer
  • A particular model rocket kit uses the scale 1:144. The actual rocket is 168 ft tall. How tall will the model rocket be when com
    11·1 answer
  • Find the expected value of a
    10·1 answer
  • Use the function f(x) = –2|5-x| – 13 to evaluate f (6).
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!