Find the perimeter if the semicircles. Use 3.14 for π.

Answer:

221.87 feet

Step-by-step explanation:

Given that,

A 525 ft cable runs from the top of an antenna to the ground.

The angle of elevation made by the ground to the top of an antena 25°

We need to find the height of the antenna.

Using trigonometry,

Hypotenuse, H = 525 ft

θ = 25°

So,

[tex]\sin\theta=\dfrac{P}{H}\\\\P=H\sin\theta\\\\P=525\times \sin(25)\\\\P=221.87\ ft[/tex]

So, the height of the antenna is equal to 221.87 feet.

Answer:

i THINK the answer is D.

Step-by-step explanation:

cant prove it but have look it up and i think its d

Answer:

I think d

Step-by-step explanation:

so sorry if I'm wrong

Answer:it’s b

Step-by-step explanation:

Answer:

C. 4.53

Step-by-step explanation:

So we know that the total among these angles measure 180°

(straight lines paralleled with r and s) those lines are 180 degrees.

So subtract 180° - 116° to get rid of the other angle

180° - 116 = 64°

Then use the statement below to identify the value of y.

[tex]15y-4=64[/tex]

[tex]15y+4[/tex] = +4     It's easier if you add 4 to both sides

[tex]15y=68[/tex]          Solve for y

y = 4.53

Given:

15,000 ones, 1,500 tens ,15 thousands, 15,000, 15 ten thousands.

To find:

The odd one out.

Solution:

First, we need to convert all the values in the standard form of a number.

[tex]15000\text{ ones}=15000\times 1[/tex]

[tex]15000\text{ ones}=15000[/tex]

Similarly,

[tex]1500\text{ tens}=1500\times 10[/tex]

               [tex]=15000[/tex]

[tex]15\text{ thousands}=15\times 1000[/tex]

                     [tex]=15000[/tex]

[tex]15\text{ ten thousands}=15\times 10000[/tex]

                           [tex]=150000[/tex]

The standard form of all numbers is 15,000 except 15 ten thousands.

Therefore, the odd one out is 15 ten thousands.

Answer:

a = 9

Step-by-step explanation:

this shape is an isosceles trapezoid where the pair of non-parallel sides are equal; therefore we can set up this equation to find 'a'

P = a + a + 2 + 8

28 = 2a + 10

18 = 2a

a = 9

Check:

9(2) + 2 + 8 = 28

18 + 10 = 28

28 = 28

Answer:

i think your answer is 8.

Answer:

72 cubic units

Step-by-step explanation:

V=lwh

l=6

w=4

h=3

6*4*3 = 72

Hope this helps.

Answer:

a1 = 4

a2 = 40

a3 = 400

a4 = 4000

Step-by-step explanation:

First substitute n with 1.

1. 4 ⋅ 10^1  - 1

4 ⋅ 10^0

4 ⋅ 1 = 4

Second substitute n with 2.

2. 4 ⋅ 10^2 - 1

4 ⋅ 10^1

4 ⋅ 10 = 40

Next substitute n with 3.

3. 4 ⋅ 10^3 - 1

4 ⋅ 10^2

4 ⋅ 100 = 400

Finally, substitute n with 4.

4. 4 ⋅ 10^4 - 1

4 ⋅ 10^3

4 ⋅ 1000 = 4000

It's simple. Just plug in 1, 2, 3, and 4 into n and solve the equation.

Answer:

1a)  C = 600 + 5n

1b)  R = 6n

Step-by-step explanation:

Answer:

1.

    a) $600+5n = C

    b) 6n = R

Step-by-step explanation:

For the cost to throw the event, we have to add $100+$500, the decorations and the DJ and then we have to add the variable for people times 5 since it is 5 per person. $100+500 = $600 and 5* n (the variable for people in the question)

We are adding the two terms so the final equation will be equal to:

600+5n

for b), we have to use the variable n for tickets times the constant 6 since it costs 6 dollars per person to enter, and that will be equal to the revenue the student council earns or R.

6*n = 6n

Now we have:

6n=R

Answer:

See below.

Step-by-step explanation:

47.) 4

48.) 3

49.) -3

50.) -4

51.) -2

52.) -3

53.) 1/5

54.) 1/10

55.) -10

56.) -5

Answer: Choice D)  [tex]\sqrt{2}:1[/tex]

Explanation:

The diagram shows the hypotenuse is [tex]6\sqrt{2}[/tex] units long and the leg is 6 units long. This forms the ratio [tex]6\sqrt{2}:6[/tex] where the hypotenuse is listed first. This is because it's mentioned first in the instructions (when compared to the other side 6).

We then divide both parts of the ratio [tex]6\sqrt{2}:6[/tex] by 6 to end up with the final answer [tex]\sqrt{2}:1[/tex]. This ratio says "the hypotenuse is exactly [tex]\sqrt{2}[/tex] times that of the leg length". This only applies to 45-45-90 triangles.

Option D is correct, √2 : 1 represents the ratio of the hypotenuse to the given side.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

The given triangle is a right triangle.

6√2 is the hypotenuse of the triangle.

We have to find the ratio of the  hypotenuse to the given side.

Let the adjacent side length is 6.

The ratio is hypotenuse by the side length

6√2/6

The 6 on numerator and denominator will be cancelled.

√2/1

Hence, √2 : 1 represents the ratio of the hypotenuse to the given side.

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Answer:

x = √17    exact answer

x ≈ 4.12    decimal approximation

Step-by-step explanation:

a² + b² = c²

x² + 8² = 9²

x² + 64 = 81

x² = 17

Take the square root of both sides

x = √17    exact answer

x ≈ 4.12    decimal approximation

Answer:

x= -24

Step-by-step explanation:

multiply both sides by 12, then you'll have x= -24

Answer:

a) The Mean Value is 3.118

b) The Average Deviation from the Mean is 0.0416

c) The true standard deviation is approximately 0.0492

d) The standard error (deviation) of the mean, SEM is approximately 0.021982

e) The percentage error is approximately 0.751%

7. Part a;

The data set 'b' is more accurate

The set 'a' is more precise

Part b;

The number of significant figures used in reporting measured values is determined by number of digits that are actually known based on the measuring methods, with the inclusion of one more digit which is an approximation

Step-by-step explanation:

a) The given values of pi are;

3.14, 3.11, 3.20, 3.06, and 3.08

The number of data points, n = 5

Therefore, we have;

The mean, [tex]\bar x[/tex] = (∑x)/n = (3.14 + 3.11 + 3.20 + 3.06 + 3.08)/5 = 3.118

b) The Average Deviation from the Mean, MAD, is given as follows;

[tex]\dfrac{1}{n} \times \sum \limits_{i = 1}^n \left |x_i - \bar x \right |[/tex]

Therefore, we get;

[tex]MAD =\dfrac{1}{5} \times (\left |3.14 - 3.118 \right | +\left |3.11 - 3.118 \right | + \left |3.20 - 3.118 \right | + \left |3.06 - 3.118 \right | + \left |3.08 - 3.118 \right |) =0.0416[/tex]

The Average Deviation from the Mean = 0.0416

c) The true standard deviation, σ, is given as follows;

[tex]s =\sqrt{\dfrac{\sum \left (x_i-\bar x \right )^{2} }{n}}[/tex]

From MS Excel, we have;

[tex]\sum \left (x_i-\bar x \right )^{2}[/tex]= 0.01208

∴ s = √((0.01208)/((5)) ≈ 0.0491528229 ≈ 0.0492

d) The standard error of the mean, SEM is given as follows;

SEM = s/√n

∴ SEM = 0.0491528229/√5 ≈ 0.02198181065 ≈ 0.021982

e) The percentage error = (The correct value - The mean value)/(The correct value) × 100

The given correct value = 3.14159

∴ The percentage error = ((3.14159 - 3.118)/3.14159) × 100 ≈ 0.751%

7. Part a;

The given Book value = 7.86 g/cm³

A precise data are data that are close to each other, while an accurate data has value that is close to the true value

The mean of the data set are;

Set a. μₐ = (7.72 + 7.74 + 7.73 + 7.75 + 7.74)/5 = 7.736

The difference from the true value = 7.86 - 7.736 = 0.124

Set b. [tex]\mu_b[/tex] = (7.86 + 7.90 + 7.78 + 7.93 + 7.838)/5 = 7.8616

The difference from the true value = 7.86 - 7.8616 = -0.0016

Therefore, the data set 'b' is more accurate

The precision is given as follows;

The average deviation is found using the following formula;

[tex]\dfrac{1}{n} \times \sum \limits_{i = 1}^n \left |x_i - \mu \right |[/tex]

The average deviation of set a = ((7.736 - 7.72) + (7.74 - 7.736) + (7.75 - 7.736) +(7.736 - 7.73) + (7.74 - 7.736))/5 = 0.0088

The precision of set a = 7.736 ± 0.008

The average deviation of set b = ((7.8616 - 7.86) + (7.90 - 7.8616) + (7.8616 - 7.78) + (7.93 - 7.8616) + (7.8616 - 7.838))/5 = 0.04272

The precision of set b = 7.8616 ± 0.04272

due to the closeness (smaller average deviation) of set 'a' than 'b', the set 'a' is more precise

Part b;

What determines the number of significant figures used in reporting measured values is determined by the number of significant figures that is known with confidence and an extra approximation or estimated last digit.

Answer:

5.3×10⁻¹¹ m

Step-by-step explanation:

Applying,

v = 2πr/t................ Equation 1

Where v = speed of the electron in the orbit, r = radius of the orbit, t = time, π = pie

make r the subject of the equation

r = vt/2π................ Equation 2

From the question,

Given: v = 2.2×10⁶ m/s, t = 1.5×10⁻¹⁶ s

Constant: π = 3.14

Susbtitute these values into equation 2

r = (2.2×10⁶×1.5×10⁻¹⁶)/(3.14×2)

r = (3.3×10⁻¹⁰)/6.28

r = 5.3×10⁻¹¹ m

Hence the radius of the orbit is 5.3×10⁻¹¹ m

Answer:

The radius of the orbit is: [tex]R=0.525 \AA[/tex]

Step-by-step explanation:

The period of a circular motion is the time to complete one orbit, then:

[tex]T=1.5*10^{-16}s[/tex]

Now, let's recall the tangential speed can be written as:

[tex]v=\frac{2\pi R}{T}[/tex]

R is the radius of the motion.

Let's solve the above equation for R.

[tex]R=\frac{vT}{2 \pi}[/tex]

[tex]R=\frac{2.2*10^{6}1.5*10^{-16}}{2 \pi}[/tex]

[tex]R=\frac{2.2*10^{6}1.5*10^{-16}}{2 \pi}[/tex]

[tex]R=5.25*10^{-11} \: m[/tex]

Therefore, the radius of the orbit is: [tex]R=0.525 \AA[/tex]

I hope it helps you!

Answer:

The correct equation is 8.7 + b = 54.6

Step-by-step explanation:

because it is given that measure of side a is 8.7cm, in all other equations the values of a is different.

Answer:

x= 44.1

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hypotenuse

sin 27 = 20/x

x sin 27 = 20

x = 20 / sin 27

x= 44.05378529

Rounding to the nearest tenth

x= 44.1

Answer:

Aaron’s present age = x - 5 = 6 - 5 = 1

Step-by-step explanation:

Let Ron’s present age be x.  

Then Aaron’s present age = x - 5

After 4 years Ron’s age = x + 4, Aaron’s age x - 5 + 4.  

According to the question;  

Ron will be twice as old as Aaron.  

Therefore, x + 4 = 2(x - 5 + 4)  

⇒ x + 4 = 2(x - 1)  

⇒ x + 4 = 2x - 2

⇒ x + 4 = 2x - 2

⇒ x - 2x = -2 - 4

⇒ -x = -6

⇒ x = 6

Therefore, Aaron’s present age = x - 5 = 6 - 5 = 1

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

No line of symmetry no angle and order of rotational symmetry

There is no line of symmetry, no angle, and order of any rotational symmetry so option (C) will be correct.

If two figures look an exact shape but their size could be small or big then both figures are called similar figures.

When anything has identical pieces facing one another or revolving around an axis, it is said to be symmetrical.

For example, a square with a side of 10 cm and another with a side of 20 cm both square will be similar.

Given the figure and axis for symmetry

If we fold across the line of symmetry then we can see that neither party can fully cover another

Hence the given figure will not have any symmetry.

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Answer:

n=8

Step-by-step explanation:

[tex]\frac{n+4}{2}=6[/tex]

n+4=6*2

n+4=12

n=12-4

n=8

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

Explanation:

The volume of any block is V = L*W*H where L,W,H represents length, width and height respectively. The order of multiplication doesn't matter.

The volume of the block on top is 16*4*4 = 256 cubic feet. The "16" is from the fact we subtract the 20 ft and 4 ft.

The volume of the block underneath is 10*4*4 = 160 cubic feet

Add the two volumes to get the final answer: 256+160 = 416 cubic feet.

We can abbreviate "cubic feet" into "ft^3" without quotes.

Answer:

(0, 4)

(1, 5)

(-1, 3)

Step-by-step explanation:

the function is already in slope-intercept form (y=mx+b). B is the y intercept and mx is the slope. The equation y=x+4 means that there is a y intercept of 4 and a slope of 1. So, y intercept is when x is equal to 0 which means one of your points will be (0,4). The next point will be 1 unit up and 1 unit to the right of the point (0, 4) and the third point will be 1 unit down and 1 unit to the left of (0, 4). This gives you the points (1, 5) and (-1, 3)

Answer: number 1: 7/14

number 2: 16/24

Step-by-step explanation:

Answer:

9*6*7=378 square inches

Step-by-step explanation:

Using the formula V=lwh you just need to substitute the given length, width, and height. So V=9 x 6 x 7

Answer:

180%

Step-by-step explanation:

To convert from decimal to percent, just multiply the decimal value by 100.

Answer:

1.8 into a percent is 180%

Answer:

x = 8

[tex]x=1\frac{2}{3}[/tex]

Step-by-step explanation:

0 = (x - 8)(3x - 5)

(x - 8)(3x - 5) = 0

x(3x - 5) - 8(3x - 5) = 0

3x² - 5x - 8(3x - 5) = 0

3x² - 5x - 24x + 40 = 0

3x² - 29x + 40 = 0

[tex]x=\frac{-b±\sqrt{b^{2}-4ac } }{2a}[/tex]

Ignore the A before the ±. It wouldn't let me type it correctly.

3x² - 29x + 40 = 0

a = 3

b = - 29

c = 40

[tex]x=\frac{-(-29)±\sqrt{(-29)^{2}-4((3)(40)) } }{2(3)}[/tex]

[tex]x=\frac{-(-29)±\sqrt{841-4((3)(40)) } }{2(3)}[/tex]

[tex]x=\frac{29±\sqrt{841-480} }{2(3)}[/tex]

[tex]x=\frac{29±\sqrt{361} }{2(3)}[/tex]

[tex]x=\frac{29±19 }{2(3)}[/tex]

[tex]x=\frac{29±19 }{6}[/tex]

Two separate equations

[tex]x=\frac{29+19 }{6}[/tex]

[tex]x=\frac{48 }{6}[/tex]

x = 8

[tex]x=\frac{29-19 }{6}[/tex]

[tex]x=\frac{10 }{6}[/tex]

[tex]x=\frac{5 }{3}[/tex]

[tex]x=1\frac{2}{3}[/tex]

Answer:

?

Step-by-step explanation: