A cable 27 feet long runs from the top of a utility pole to a point on the ground 16 feet from the base of the pole. How tall is the utility pole?

Answer:

B

Step-by-step explanation:

[tex]Circumference=2\pi r=28\pi \\2r=28\\r=14\\Area= \pi r^2=\pi 14^2=3.14*14^2=615.44[/tex]

Answer:

12.57

Step-by-step explanation:

The formula is

2 (pie) r

2(pie)2

which would equal 12.57

Answer:

Step-by-step explanation:

take 30 degree as reference angle

using cos rule

cos 30=adjacent/hypotenuse

[tex]\sqrt{3}[/tex]/2=12/y(do cross multiplication)

12*2=y[tex]\sqrt{3}[/tex]

24/[tex]\sqrt{3}[/tex]=y

8[tex]\sqrt{3}[/tex]=y

for x

using pythagors theorem

H^2=P^2+B^2

24^2=X^2+(8[tex]\sqrt{3}[/tex] )^2

576=X^2+192

576-192=X^2

384=x^2

[tex]\sqrt{384}[/tex]=x

8[tex]\sqrt{6}[/tex]=x

Answer:

35 is the 'is' and 40 is the 'of'

Step-by-step explanation:

is/of = %/100

35/40 = x/100

cross-multiply to get:

40x = 3500

x = 3500/40

x = 87.5

Answer:

Recursive:

Step-by-step explanation:

Common difference ( d ):   17 - 10 = 7

Recursive Arithmetic:

[tex]a_n = a_{n-1} + d[/tex]

[tex]a_n = a_{n-1} + 7[/tex]

[tex]a_1 = -4[/tex]

Hopefully this helped!

Answer:

[tex]1.\:2^x=64, x=\boxed{6},\\2.\:x=\left(\frac{2}{3}\right)^3,x=\boxed{\frac{8}{125}}\\3.\:3\cdot (3^4)=3^x, x=\boxed{5}\\4.\:\frac{16}{25}=x^2,x=\boxed{\frac{4}{5}},[/tex]

Step-by-step explanation:

[tex]1.\\\\2^x=64,\\\log 2^x=\log64,\\x\log 2=\log 64,\\x=\frac{\log 64}{\log 2}=\boxed{6}[/tex]

[tex]2.\\x=\left(\frac{2}{5}\right)^3=\frac{2^3}{5^3}=\boxed{\frac{8}{125}}[/tex]

3. This problem incorporates an exponent property.

Exponent property used: [tex]a^b\cdot a^c=a^{(b+c)}[/tex], yielding an answer of [tex]\boxed{5}[/tex]

[tex]4.\\\\\frac{16}{25}=x^2,\\x=\sqrt{\frac{16}{25}}=\frac{\sqrt{16}}{\sqrt{25}}=\boxed{\frac{4}{5}}[/tex]

Answer:

1. 6

2. 8/25

3. 5

4. 4/5

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer: 4/5

Step-by-step explanation:

Answer:

The exact length of AB is [tex]3 + 4\sqrt{10}[/tex] milimeters.

Step-by-step explanation:

Both triangles ACD and BCD are isosceles and triangles AEC, ADE, BDE and BCE are right-angled, where E is the point where line segments AB and CD meet each other. We can determine the exact length of AB by means of two horizontal right triangles (i.e. AEC, BCE) and the Pythagorean Theorem:

[tex]AB = \sqrt{AC^{2}-CE^{2}}+\sqrt{CB^{2}-CE^{2}}[/tex]

If we know that [tex]AD = AC[/tex], [tex]BC = BD[/tex], [tex]AC = 5\,mm[/tex], [tex]BC = 12\,mm[/tex] and [tex]CE = 4\,mm[/tex], then the exact length of AB is:

[tex]AB = \sqrt{(5\,mm)^{2}-(4\,mm)^{2}}+\sqrt{(12\,mm)^{2}-(4\,mm)^{2}}[/tex]

[tex]AB = 3 + 4\sqrt{10}\,[mm][/tex]

Answer:

It is Quantitative.

Step-by-step explanation:

Quantitative data is information about quantities; information that can be measured with numbers.

Qualitative data describes qualities or characteristics; information collected using questionnaires, interviews, or observation, and frequently appears in narrative form.

Examples:

It is 25° Celcius today. - Quantitative

I drooled after smelling freshly baked cookies. - Qualitative

Tips:

Think of Quantitative as Quantity; numbers.

Think of Qualitative as Quality; description/characteristics.

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Explanation:

For now, let's focus on the probability of getting one "5".

There are 4 of these cards (one of each suit) and 52 total. The probability of getting the card we're after is 4/52 = 1/13.

We can think of it like saying "if we focus on one suit only, then there's a 1 in 13 chance of getting a '5' from this pile".

The probability of getting two "5"s in a row is (1/13)*(1/13) = 1/169 assuming we put the first card back. If the first card is not put back, then we would compute it like so: (4/52)*(3/51). I'll leave it unevaluated for you to try out as practice.

Side note: 1/169 = 0.0059 = 0.59% approximately

Answer:

79

Step-by-step explanation:

79, 85, 89, 68 have a mean of 80.25 according to calculator.net. the number itself Is close to the number you want, in this case 80, i input 80, but it gave me a score of 80.2, so i tried again with 81, it gave me a score of 80.4, so the third attempt was successful with 79 being the input and 80 the output

calculator.net is approved on my school computer so there is a chance it is on yours as well.

i need points srry

Step-by-step explanation:

Answer:

Hello! answer: 7

Step-by-step explanation:

24 × 24 = 576

7 × 7 = 49

576 + 49 = 625

√625 = 25

therefore the missing leg is 7

Answer:

The cofunction of [tex]\tan \frac{2\pi}{11}[/tex] is [tex]\cot \frac{7\pi}{22}[/tex].

Step-by-step explanation:

In trigonometry, a function is a cofunction of another if and only if [tex]f(A) = g(B)[/tex], where A and B are complementary angles. In this case, the complementary function of a tangent function must be a cotangent function, this is:

[tex]\tan \frac{2\pi}{11} = \cot \left(\frac{\pi}{2} - \frac{2\pi}{11} \right)[/tex]

[tex]\tan \frac{2\pi}{11} = \cot \frac{7\pi}{22}[/tex]

[tex]\tan \frac{2\pi}{11} = \frac{1}{\tan \frac{7\pi}{22} }[/tex]

[tex]0.642 = \frac{1}{1.556}[/tex]

[tex]0.642 = 0.642[/tex]

Answer:

Hope it helped :)

Step-by-step explanation:

[tex]a)Mean = \frac{sum \ of\ the\ data} {number\ of\ data} = \frac{598}{21} = 28.48\\\\b) Median = middle\ number = 28\\\\c)Mode = most \ frequently \ occured \ number = 25\\\\d) Range = 48 - 5 = 43\\\\e)Inter Quartile Range = Q_3 - Q_1 = 16[/tex]

Answer:

A regular dog has 4 legs so it has 4 paws. If each paw needs one wipe Jen will need 4 wipes.

Jen will need 4 wipes for each paw

Answer:

The true statements are :

A. A random variable is a numerical description of the outcome of a statistical experiment.

B. In most​ applications, discrete random variables represent counted​ data.

C. In most applications, continuous random variables represent measured data.

Step-by-step explanation:

It is true statement that,

A. A random variable is a numerical description of the outcome of a statistical experiment.

B. In most​ applications, discrete random variables represent counted​ data.

C. In most applications, continuous random variables represent measured data.

The false statement is -

D. The expected value of a discrete random variable is equal to the standard deviation of the random variable.

Reason -

The mean value, or expected value, of a discrete random variable X is given by the following equation:

μ = E(x) = ∑ x p(x)

And

The variance of a discrete random variable is given by the following formula:

σ²=∑ (x−μ)² P(x)

And

The square root of the variance, or, in other words, the square root of σ², is the standard deviation of a discrete random variable :

σ = √σ²

Answer:

2x+y=7; 3x+2y=16

X = -2

Y = 11

Answer:

x=2

Step-by-step explanation:

Since the are the same equation they are already equal

Answer:

x=2

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

36 inches

Step-by-step explanation:

From the diagram attached,

Applying

s = 2πr∅/360

Where s = lenght of the arc, r = radius of the window, ∅ = angle formed in degree, π = pie.

make r the subject of the equation

r = 360s/2π∅................... Equation 2

From the question,

Given: s = 72 inches, ∅ = 2 radians = 114.6°

Constant: 3.14

Substitute these values into equation 2

r = (360×72)/(114.6×3.14×2)

r = 25920/719.688

r = 36 inches

Its d because 16/12=1.33 same with 20/15 and 40/30 so its 24x1.33 which is 32 there for d is correct

Answer:

Step-by-step explanation:

C

The area of the circular shaped pizza is A = 254.5 cm²

A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle.

The equation of circle is ( x - h )² + ( y - k )² = r²

For a unit circle , the radius r = 1

x² + y² = r² be equation (1)

Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )

Given data ,

Let the radius of the pizza be r = 9 cm

The area A of a circle with radius r is given by the formula:

A = πr²

Substituting the given radius of 9 cm, we get:

A = π(9 cm)²

A = π(81 cm²)

A ≈ 254.47 cm²

Rounding to one decimal place, we get:

A ≈ 254.5 cm²

Hence , the area of the circular pizza with a radius of 9 cm is approximately 254.5 cm²

To learn more about circle click :

https://brainly.com/question/28391204

#SPJ7

They have equal lengths is the correct answer

Answer:

g(x) = (2x)²

Step-by-step explanation:

Answer:

perpendicular, parallel, neither, parallel

The correct option is B - Where the given data is plot correctly.