Ask question

Ask question

All categories

3 years ago

14

When he was little, Miguel could not sleep without his Captain Terrific action figure. It looked so life-like because it was a p

erfect scale model. The actor who plays Captain Terrific on television is 216 cm tall. Miguel’s doll is 10 cm tall. If the doll’s neck is 0.93 cm long, how long is the actor’s neck? Use the Undoing Division Method to solve this proportion: .

2 answers:

faust18 [17]3 years ago

7 0

The actor's neck is 20.08 cm long.

Step-by-step explanation:

The actor who plays Captain Terrific on television is 216 cm tall. Miguel’s doll is 10 cm tall.

Miguel’s doll is 10 cm tall and the doll’s neck is 0.93 cm long.

Let the doll's actor's neck be x cm

We can relate these as follows:

$\frac{216}{x} =\frac{10}{0.93}$

Solving for x now;

$10x=216*0.93$

=> $10x=200.88$

x = 20.08

Hence, the actor's neck is 20.08 cm long.

krok68 [10]3 years ago

5 0

The answer is:
216×0.93÷10=20.088

You might be interested in

Help me out please :(((

guapka [62]

Answer:

I think the isosceles triangle

Step-by-step explanation:

Because it has fewer sides and cannot be put in a "Tile" pattern. Not really sureI hope this helps. :)

6 0

3 years ago

Complete the identity.<br> 1) sec^4 x + sec^2 x tan^2 x - 2 tan^4 x = ?

Alecsey [184]

Answer:

See Explanation

Step-by-step explanation:

<em>Question like this are better answered if there are list of options; However, I'll simplify as far as the expression can be simplified</em>

Given

$sec^4 x + sec^2 x tan^2 x - 2 tan^4 x$

Required

Simplify

$(sec^2 x)^2 + sec^2 x tan^2 x - 2 (tan^2 x)^2$

Represent $sec^2x$ with a

Represent $tan^2x$ with b

The expression becomes

$a^2 + ab- 2 b^2$

Factorize

$a^2 + 2ab -ab- 2 b^2$

$a(a + 2b) -b(a+ 2 b)$

$(a -b) (a+ 2 b)$

Recall that

$a = sec^2x$

$b = tan^2x$

The expression $(a -b) (a+ 2 b)$ becomes

$(sec^2x -tan^2x) (sec^2x+ 2 tan^2x)$

..............................................................................................................................

In trigonometry

$sec^2x =1 +tan^2x$

Subtract $tan^2x$ from both sides

$sec^2x - tan^2x =1 +tan^2x - tan^2x$

$sec^2x - tan^2x =1$

..............................................................................................................................

Substitute 1 for $sec^2x - tan^2x$ in $(sec^2x -tan^2x) (sec^2x+ 2 tan^2x)$

$(1) (sec^2x+ 2 tan^2x)$

Open Bracket

$sec^2x+ 2 tan^2x$ ------------------This is an equivalence

$(secx)^2+ 2 (tanx)^2$

Solving further;

................................................................................................................................

In trigonometry

$secx = \frac{1}{cosx}$

$tanx = \frac{sinx}{cosx}$

Substitute the expressions for secx and tanx

................................................................................................................................

$(secx)^2+ 2 (tanx)^2$ becomes

$(\frac{1}{cosx})^2+ 2 (\frac{sinx}{cosx})^2$

Open bracket

$\frac{1}{cos^2x}+ 2 (\frac{sin^2x}{cos^2x})$

$\frac{1}{cos^2x}+ \frac{2sin^2x}{cos^2x}$

Add Fraction

$\frac{1 + 2sin^2x}{cos^2x}$ ------------------------ This is another equivalence

................................................................................................................................

In trigonometry

$sin^2x + cos^2x= 1$

Make $sin^2x$ the subject of formula

$sin^2x= 1 - cos^2x$

................................................................................................................................

Substitute the expressions for $1 - cos^2x$ for $sin^2x$

$\frac{1 + 2(1 - cos^2x)}{cos^2x}$

Open bracket

$\frac{1 + 2 - 2cos^2x}{cos^2x}$

$\frac{3 - 2cos^2x}{cos^2x}$ ---------------------- This is another equivalence

8 0

3 years ago

You toss a coin a randomly selecte a number from 0 to 9. What is the probability of getting tails and selecting a 9?

In-s [12.5K]

First lets find the probability of landing tails. Because there is 1 way to get tails and 2 possible outcomes, the probability is 1/2.

Now, lets find the probability of selecting a 9. Since this includes 0, there are 10 possible outcomes and 1 way to get a 9, so the probability is 1/10.

To find them combined, multiply:

1/2 * 1/10
1/20
0.05

Hope this helps!

4 0

3 years ago

There is 60% chance that it will rain today. If it rains, the probability of watching a movie is 0.5. But, if it does not rain t

agasfer [191]

Applying the given probabilities, it is found that there is a 0.42 = 42% probability of watching a movie today.

These following <em>probabilities </em>involve a movie being watched today:

0.5 of 0.6(if it rains today).

0.3 of 1 - 0.6 = 0.4(if it does not rain today).

Hence, adding them:

$p = 0.5(0.6) + 0.3(0.4) = 0.3 + 0.12 = 0.42$

0.42 = 42% probability of watching a movie today.

A similar problem is given at brainly.com/question/14398287

5 0

2 years ago

Please help explain my answer!!

Roman55 [17]

The correct answers are that Earth’s North Pole is close to the magnetic south pole, magnets allowed to move freely align themselves to point north, and the north pole on a compass is attracted to Earth’s south pole. I really hope this helps you!!

7 0

2 years ago