If the angle of elevation of the sun is 63° and the flagpole casts 27-foot shadow, how tall is the flagpole?

Answer: 11

In rectangle diagonals are equal and bisect each other.

Therefore,

2×4x=88

8x=88

x=88÷8

x=11

Step-by-step explanation:

The number of senior, adults and children tickets sold are 22, 76 and 66 respectively.

The museum sells three types of tickets, including those for seniors, adults and children.

On Tuesday morning the  museum sold 164 tickets. Therefore,

Let

x = number of senior ticket sold.

The number of adult tickets sold was three times as many as senior tickets sold.

The number of child tickets sold was 10 more than the number of adult tickets sold. Therefore,

Total ticket sold = 3x + 10 + 3x + x

164 = 7x + 10

154 = 7x

x = 154 / 7

x = 22

Therefore,

number of senior ticket sold = 22

number of adult tickets sold = 3 (22) = 66

number of child tickets sold = 10 + 3(22) = 76

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There is a probability of 3.95% that the randomly selected adult parakeet will be less than 7.55 inches long

Z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

z = (raw score - mean)/standard deviation

Given that:

Mean = 8 inches, standard deviation = 0.25 in, For < 7.55 in:

z = (7.55 - 8) / 0.25 = -1.8

P(z < -1/8) = 0.0395

There is a probability of 3.95% that the randomly selected adult parakeet will be less than 7.55 inches long

Find out more on z score at: https://brainly.com/question/25638875

Answer:

x=0,(m+n)

Step-by-step explanation:

Answer:

163 degrees

Step-by-step explanation:

because the whole circle is 360 degrees and the other side would be 163 as it's the same angle.

Answer:

3600/p

Step-by-step explanation:

i think it's the last option because you cannot add or subtract the partners from the profit.

Answer:

DC

Step-by-step explanation:

So the series is

Answer:

b.  DC

b.  15

Step-by-step explanation:

Point A = center of circle

The widest part of the circle is the diameter.  The diameter is a straight line that touches the circumference of the circle and passes through the center of the circle. Therefore, the diameter is DC, and this is the longest line segment.

The radius of a circle is a straight line from the center of the circle to a point on the circumference.  Therefore, AE = radius of the circle.

The radius of a circle is half the length of the diameter.

Therefore, if AE = 7.5, then DC = 2 × 7.5 = 15

Answer:

The cordinate is (7,6)

Step-by-step explanation:

First you count how many squares (units) until you are directly under P. Then you cound how many squares up it is till you get to P. 

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Answer:

7,6

Step-by-step explanation:

cuz yes

Answer:

yes thats right 161,743 vinyl records were sold in 1967.

Answer:

12^15

Step-by-step explanation:

(12^2)^7 would be 12^14 because the two exponents (2 and 7) will multiply each other. Then, you do 12^14 * 12, which would be 12^15 because you are multiplying 12 by itself one more time.

Answer:

23

Step-by-step explanation:

trust me this is not the answer I got it wrong hope it helps a little

The equation has one solution and it is x = 91/30

Let's take a glimpse at the solution

[tex]6 + 9( - 3x + 9) = \frac{3}{2} (2x + 4) - 10[/tex]

[tex]6 - 27x + 81 = \frac{3}{2} \times 2(x + 2) - 10[/tex]

[tex]6 - 27x + 81 = 3(x + 2) - 10[/tex]

[tex]6 - 27x + 81 = 3x + 6 - 10[/tex]

[tex] - 27x + 81 = 3x - 10[/tex]

[tex] - 27x - 3x = - 10 - 81[/tex]

[tex] - 30x = - 91[/tex]

[tex]x = \frac{91}{30} [/tex]

Answer:

50.24cm

Step-by-step explanation:

Yes, you got it right. The formula for circumference is pi times diameter, so 3.14x16=50.24. Hope this helps <3!

Answer: y+3=0.5(x-8)

Step-by-step explanation:

Answer:

0.16 pounds. I am pretty sure you just add up all the numbers. I hope this helps!

Step-by-step explanation:

Answer:

472.5 Miles

Step-by-step explanation:

1:15

10:150

20:300

30:450

.5:7.5

30x+1x+5x=450+15+7.5=472.5 miles

Answer:

x=10

Step-by-step explanation:

Given x-15=-5

add both sides by 15

x-15+15=-5+15

x=10

Answer:

B. y=-10,250

C. 6 payments

Sorry for my terrible handwriting.. Hope this helps tho! Have a great day/night!

Answer:

25

Step-by-step explanation:

2 to the power of 4 + 16

3 to the power of 2 = 9

so, 16 + 9 is 25...

Step-by-step explanation:

[tex] {2}^{4 + } {3}^{2} [/tex]

=2x2x2x2+3x3

=16+9

=25

Answer:

1331

Step-by-step explanation:

bc 9315/7 is a decimal so u round up

Answer:

384π cm³

Step-by-step explanation:

Formula for the volume of a cone is [tex]\displaystyle \large{\frac{1}{3}\pi r^2 h}[/tex] where:—

Our radius is given in an attachment which is 12 cm and height is 8 cm. Substitute these values in the formula:—

[tex]\displaystyle \large{V = \frac{1}{3}\pi (12)^2 \cdot 8}\\\displaystyle \large{V = \frac{1}{3}\pi \cdot 144 \cdot 8}\\\displaystyle \large{V = 48 \pi \cdot 8}\\\displaystyle \large{V = 384 \pi}[/tex]

__________________________________________________________

Summary

  Volume (Cone)

[tex]\displaystyle \large{V = \frac{1}{3}\pi r^2 h}[/tex] where:—

h is height or perpendicular.

r is radius.

  Value of Pi (Commonly Used)

[tex]\displaystyle \large{\pi \approx 3.14}[/tex]

__________________________________________________________

If you have any questions regarding this problem or need clarification for my answer or explanation, do not hesitate to ask in comment! Good luck on your assignment and have a great day!

Answer:

(x - 7)² = 9

Step-by-step explanation:

x² - 14x + 40 = 0 ( subtract 40 from both sides )

x² - 14x = - 40

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 7)x + 49 = - 40 + 49

(x - 7)² = 9

Answer:

[tex]\sf (x-\boxed{\bf7}\:)^2=\boxed{\bf9}[/tex]

Step-by-step explanation:

First of all, let's move the constant term to the right side of the equation:-

[tex]\sf x^{2} -14=-40[/tex]

To complete the square we'll take half of the coefficient of our x term, square it, and add it to both sides of the equation. Since the coefficient of our x term is -14 ,half of it would be -7 and squaring it gives us 49.

[tex]\sf x^2-14x+49=-40+49[/tex]

Now, we can rewrite the left side of the equation as a squared term.

[tex]\sf (x-7)^2=9[/tex]

_____________________

Hope this helps!

Have a great day!

Answer:

5 is the answer of the question

Answer:

He rent the bike for 2 hours.

Step-by-step explanation:

5x + 13= 23

I honestly just 13+5= 18

Then 18+5= 23

That is how I knew it was 2 hours.

It probably wasn't the right way to do it, but it was the way I thought it through. Sorry if this doesn't help. Have a great day.

The factors of the expression specified is given by: Option B: [tex](2x^2 - 1)(2x^2 + 1)(4x^4 + 1)[/tex]

If we have a^b then 'a' is called base and 'b' is called power or exponent and we call it "a is raised to the power b" (this statement might change from text to text slightly).

Exponentiation(the process of raising some number to some power) have some basic rules as:

[tex]a^{-b} = \dfrac{1}{a^b}\\\\a^0 = 1 (a \neq 0)\\\\a^1 = a\\\\(a^b)^c = a^{b \times c}\\\\ a^b \times a^c = a^{b+c} \\\\^n\sqrt{a} = a^{1/n} \\\\(ab)^c = a^c \times b^c[/tex]

Suppose two numbers are there as 'a' and 'b'.

Then, we get:

[tex](a+b)(a-b) = a(a-b) + b(a-b) = a^2 -ab + ab - b^2 = a^2 - b^2\\(a+b)(a-b) = a^2 - b^2[/tex]

For the considered case, factoring the considered expression [tex]16x^8 - 1[/tex] by rewriting it as:

[tex]16x^8 - 1 = (4 \times 4 \times x^4 \times x^4) - 1^2 = (4x^4)^2 -1^2\\\\\\[/tex]

Now, since we've got [tex](a+b)(a-b) = a^2 - b^2[/tex], therefore,

[tex]16x^8 - 1 = (4x^4)^2 -1^2\\16x^8 - 1 = (4x^4 +1 )(4x^4 - 1)[/tex]

The second term can also be factored using same property, as shown below:

[tex]16x^8 - 1 = (4x^4 +1 )(4x^4 - 1) = (4x^4 + 1)((2x^2)^2 - 1^2) \\16x^8 - 1 = (4x^4 + 1)(2x^2 + 1)(2x^2 - 1)\\\\\text{Rearranging the terms, we get}\\16x^8 - 1 = (2x^2 - 1)(2x^2 + 1)(4x^4 + 1)[/tex]

Therefore, the factors of the expression specified is given by: Option B: [tex](2x^2 - 1)(2x^2 + 1)(4x^4 + 1)[/tex]

Learn more about exponentiation here:

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Answer:

Option B

Step-by-step explanation:

I took the test.