A clock has a diameter of 16 inches. Which measurement is closest to the area of the clock in square inches? 804.25 in2 50.27 in2 25.13 in2 200.96 in2

Given:

The figure of a right angle triangle.

To find:

The value of x to the nearest hundredth.

Solution:

In a right angle triangle,

[tex]\cos \theta=\dfrac{Base}{Hypotenuse}[/tex]

Using the above trigonometric ratio for the given triangle, we get

[tex]\cos 46^\circ=\dfrac{x}{8}[/tex]

[tex]0.6947=\dfrac{x}{8}[/tex]

[tex]0.6947\times 8=x[/tex]

[tex]5.5576=x[/tex]

Approximate the value to the nearest hundredth.

[tex]x\approx 5.56[/tex]

Therefore, the value of x is 5.56 units.

Using the z-distribution, we have that:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

Item a:

We are interested in the confidence interval for the true proportion of kids who want to be a doctor, hence the parameter of interest is the proportion of kids who want to be a doctor.

Item b:

Fifty-five of the 1000 kids want to be a doctor, hence, since there are more than 10 successes and more than 10 failures in the sample, the conditions are met.

Item c:

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.05 - 2.327\sqrt{\frac{0.05(0.95)}{1000}} = 0.0339[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.05 + 2.327\sqrt{\frac{0.05(0.95)}{1000}} = 0.066[/tex]

The interval is (0.0339, 0.066).

Item d:

We are 98% sure that the true proportion of kids who want to be a doctor is between 0.0339 and 0.066.

You can learn more about the use of the z-distribution to build a confidence interval at https://brainly.com/question/25649070

Answer:

Step-by-step explanation:

b

Answer:

B)  C)  and E)    (i just took this in USA TestPrep

Step-by-step explanation:

Answer:

(3x + 8) (3x - 8)

Step-by-step explanation:

Not sure if you need the steps

Answer:

114°

Step-by-step explanation:

here's your solution

=> x° + 66° = 180°

=> x = 180° - 66°

=> x = 114°

hope it helps

Answer:

66°+x=180°[by linear pair]

x=180°- 66°

x=114°.

Answer:

62 degrees

Step-by-step explanation:

Since we know 3 sides of the triangle, we can use law of cosines.

[tex] {gk}^{2} = {gh}^{2} + {kh}^{2} - 2(gh)(kh) \times \cos(h) [/tex]

[tex] {8}^{2} = {17}^{2} + {15}^{2} - 2(17(15) \times \cos(h) [/tex]

[tex]64 = 289 + 225 - 510 \times \cos(h) [/tex]

[tex]64 = 314 - 510 \times \cos(h) [/tex]

[tex] - 250 = - 510 \times \cos(h) [/tex]

[tex] \frac{250}{510} = \cos(h) [/tex]

[tex] \frac{25}{53} = \cos(h) [/tex]

Take the arcos or cosine inverse

[tex] \cos {}^{ - 1} = \frac{25}{53} [/tex]

Which is about 62 degrees.

Given:

The pairs of angles are:

36°,24°

18°,72°

96°,84°

To find:

Whether each pair of angle measurements are complementary, supplementary or neither.

Solution:

Two angles are complementary if there sum is 90 degrees.

Two angles are supplementary if there sum is 180 degrees.

For 36° and 24°,

[tex]36^\circ+24^\circ =60^\circ[/tex]

So, this pair is neither complementary not supplementary.

For 18° and 72°,

[tex]18^\circ+72^\circ =90^\circ[/tex]

So, this pair is complementary.

For 96° and 84°,

[tex]96^\circ+84^\circ =180^\circ[/tex]

So, this pair is supplementary.

Answer:

I guess the answer is 0.4x+3.2=y (0.4 equals to 2/5 ) .

Answer:

420 x .1 = 42

420 + 42 = 462

400 x .2 = 80

400 + 80 = 480

The first one is cheaper

Answer:

60º

Step-by-step explanation:

180º-35º-85º=60º

Answer: Think of it this way, symmetry is basically a mirror and you can better find the perimeter because you'll know that the sides are the same length

Step-by-step explanation:

Well if you have two sides that are symmetrical or an entire shape is symmetrical you can find the perimeter easier. So let's say two lines are symmetrical and one has the length of 2 the other one can also be two. If we have a symmetrical shape, then is would be a complete reflection.

A geometric object or form is symmetric when it can be broken up into two or more identical pieces and then placed in a systematic way.

The definition of symmetry is a proportionate and balanced similarity between two sides of an object, where one half is the mirror image of the other. For instance, certain geometric forms like, rectangle, and circle are symmetric along their respective axes of symmetry.

since the shape's two halves would perfectly match if you folded it along the line. The shape will also remain unchanged if a mirror were positioned along the line , a square has four lines of symmetry.

A geometric object or form is symmetric when it can be broken up into two or more identical pieces and then placed in a systematic way.

To know more about symmetry visit :-

brainly.com/question/15970176

#SPJ2

Answer:

£3.25

Step-by-step explanation:

£9.25×2+ £9.50+£10.55+£4×4.55

18.5+9.50+10.55+18.2

=£3.25

Answer:

£2.75

Step-by-step explanation:

2(9.25) + 1(9.50) + 1(10.55) + 4(4.55) = x

19.00 + 9.50 + 10.55 + 18.20 = x

28.50 + 28.75 = x

57.25

60 - 57.25 = 2.75

Answer: (x + 7)^2 + (y + 5)^ =9

Step-by-step explanation:

9514 1404 393

Answer:

  (d)  539 mm³

Step-by-step explanation:

The total volume is the sum of the volumes of the parts. The volume of each part is the product of its dimensions.

volume of bottom part

  V = LWH

  V = (13 mm)(7 mm)(4 mm) = 364 mm³

volume of the top part

  V = (5 mm)(7 mm)(5 mm) = 175 mm³

Then the total volume is ...

  364 mm³ +175 mm³ = 539 mm³ . . . volume of the figure

Answer:

512 ft.

Step-by-step explanation:

From the parking lot at the Red Hill Shopping Center, the angle of sight (elevation) to the top of the hill is about 25. From the base of the hill you can also sight the top but at an angle of 55. The horizontal distance between sightings is 740 feet. How high is Red Hill? Show your subproblems.

Solution:

Let x be the distance from the base of the hill to the middle of the hill perpendicular to the height, let h be the height of the hill. Therefore:

tan 25 = h/(x + 740)

h = (x + 740)tan 25       (1)

tan 55 = h / x

h = x tan 55        (2)

Hence:

(x + 740)tan 25 = xtan 55

0.4663(x + 740) = 1.428x

0.4663x + 345.07 = 1.428x

0.9617x = 345.07

x = 359 ft.

h = xtan55 = 359 tan(55) = 512 ft.

Answer:

[tex]A(n) = 500 * (\frac{9}{10})^{n-1[/tex]

[tex]A(11) = 174.34[/tex]

Step-by-step explanation:

Given

[tex]f(n) = 500[/tex]

[tex]g(n) = (\frac{9}{10})^{n-1[/tex]

Represent the combination of f(n) and g(n) with A(n)

So, we have:

[tex]A(n) = f(n) * g(n)[/tex]

This gives:

[tex]A(n) = 500 * (\frac{9}{10})^{n-1[/tex]

To calculate the 11th term, we make use of n = 11

[tex]A(11) = 500 * (\frac{9}{10})^{11-1[/tex]

[tex]A(11) = 500 * (\frac{9}{10})^{10[/tex]

This gives:

[tex]A(11) = 500 * (0.9)^{10}[/tex]

[tex]A(11) = 500 * 0.3486784401[/tex]

[tex]A(11) = 174.33922005[/tex]

Approximate to 2 dp

[tex]A(11) = 174.34[/tex]

Answer:

x = 53

Step-by-step explanation:

x = 53 (Vertically Opposite Angles)

Answer:15 ft

Step-by-step explanation:

Given

The total perimeter needed is [tex]40\ ft[/tex]

The available width of the room is [tex]w=5\ ft[/tex]

Suppose l is the length of the room

So, the perimeter of a rectangle-shaped room is [tex]2(l+w)[/tex]

Putting values

[tex]\Rightarrow 40=2(l+5)\\\Rightarrow l+5=20\\\Rightarrow l=15\ ft[/tex]

Answer:

x=20

Step-by-step explanation:

180=2x+6x+20

180=8x+20

160=8x

20=x

Answer:-150t-110

Step-by-step explanation:

-10(5t+5)-10(10t+6)

-50t - 50 - 100t - 60

=

-150t-110

Answer:

Simplify each term.

Px+px+3p=10x−7

Move all terms not containing P to the right side of the equation.

Px=10x−7−px−3p

Divide each term by x and simplify.

P=10−7/x−p−3p/x

Step-by-step explanation:

Answer:

not sure

Step-by-step explanation:

Answer:

Step-by-step explanation:

a) 2a + 4 + ap + 2p = 2*a + 2*2 + a *p + 2*p

                               = 2(a + 2) + p(a + 2)

                              =  (a +2) (2 + p)

b) 162 - 8t² = 2*81 - 2*4t²

                 = 2 (81  - 4t²)

                = 2( 9² - (2t)² )          {a² - b² = (a + b)(a -b)

                = 2 ( 9 + 2t) (9 - 2t)

Step-by-step explanation:

a. 2a + 4 + ap + 2p

2a + ap + 4 + 2p

a (2 + p) + 2 (2 + p)

= ( a + 2) ( 2 + p)

b. 162 - 8t^2

2( -4t^2 + 81)

Answer: 9.90

Step-by-step explanation:

tan 48= 11/x

1.11=11/x

1.11x=11

x=9.90

Answer:

Step-by-step explanation:

2y + 3<11                       Subtract 3 from both sides

2y < 11 - 3

2y < 8                           Divide by 2

2y/2 <8/2                  

y < 4

The question is very hard to answer. That's because the answer is very close to 4, but it is not 4.

For example 3.8 is a possible answer. Try it

2*3.8 + 3 < 11

7.6 + 3 < 11

10.6 < 11

But is that the largest value possible? No.

For example

y could be 3.99999999 Well maybe that could be the answer. No it isn't. Because, though very close to 11, it still cannot be 11. It might round to 11, but it does not equal 11.

I don't exactly know what you are expected to answer. I can only say that y cannot be 4, but it can be as close to 4 as you care to make it. If the question means what is the largest integer that y could be, then the answer is 3.

Answer:

3.2

Step-by-step explanation:

3.2t when t=1

replace t with 1 so 3.2(1)

hence =3.2

Answer:

64

Step-by-step explanation:

thats all my answer...

Answer:

16 ounces in a pound

14 x 16= 224 ounces

Answer:

I came up with $3.20 each donut cost.