A flagpole at a right angle to the horizontal is located on a slope that makes an angle of \large 10^\circ with the horizontal. The flagpole casts a 30-meter shadow down the slope. The angle of elevation from the tip of the shadow to the sun is \large 25^\circ. What is the length of the flagpole to the nearest tenth of a meter?

Answer:

1/2

Step-by-step explanation:

First, convert 1 1/3 to improper fraction:

1 1/3 = 4/3

Second, make denominator the same by multiplying 4/3 by 2/2:

4/3 * 2/2 = 8/6

Third, subtract:

8/6 - 5/6 = 3/6

Fourth, simplify:

3/6 = 1/2

The correct answer for the difference between [tex]1\dfrac{1}{3}[/tex]  and [tex]\dfrac{5}{6}[/tex]  is  [tex]\dfrac{1}{2}[/tex] .

Given expression:

[tex]1\dfrac{1}{3} - \dfrac{5}{6}[/tex]

convert [tex]1\dfrac{1}{3}[/tex]  to an improper fraction:

[tex]1\dfrac{1}{3} = \dfrac{3*1 + 1}{3}[/tex]

= [tex]\dfrac{4}{3}[/tex]

Now, the expression becomes:

[tex]\dfrac{4}{3} - \dfrac{5}{6}[/tex]

To subtract these fractions,

The common denominator is 6.

Rewrite the fractions with the common denominator:

[tex]\dfrac{4}{3}*\dfrac{2}{2}[/tex]

= [tex]\dfrac{8}{6}[/tex]

The expression becomes:

[tex]\dfrac{8}{6} - \dfrac{5}{6}[/tex]

Subtract, the numerators while keeping the common denominator:

= [tex]\dfrac{8-5}{6}[/tex]

= [tex]\dfrac{3}{6}[/tex]

Divide  numerator and denominator by greatest common factor (which is 3):

3 ÷ 3 = 1

6 ÷ 3 = 2

= [tex]\dfrac{1}{2}[/tex]

The correct answer is for [tex]1\dfrac{1}{3} - \dfrac{5}{6}[/tex]   is  [tex]\dfrac{1}{2}[/tex].

Learn more about Improper fraction here:

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Step-by-step explanation:

-8

hope it helps:-) :-) :-) :-)

Answer:

a = -8

Step-by-step explanation: Subtract 100 on both sides to isolate the variable. From there you will have 11a = -88. If you divide on both sides to cancel them out you will get you answer for the variable -8.

Answer: 30%

Step-by-step explanation:

Firstly, we find 22% of $3680. This will be:

= 22% × $3680

= 0.22 × $3680

= $809.60

Therefore, his take home pay will be:

= $3680 - $809.60

= $2870.40

We are further told that last month he spent $775 for rent and 86.12 on clothing. The amount combined will be:

= $775 + $86.12

= $861.12

The percent of his take-home pay did he spend on rent and clothing combined will be:

= 861.12 / 2870. 40 × 100

= 30%

Answer:

Step-by-step explanation:

Step one:

monthly earnings= $3680

22% of the earnings is

=22/100*3680

=0.22*3680

=$809.6

Jose's take home will be

3680-809.6

=$2870.4

Step two:

Required

percentage spent on rent and clothing

but the total cost of rent and clothing is

=775+86.12

=$861.12

percentage of rent and cloth is

=(861.12/2870.4)*100

=0.3*100

=30%

The percentage is 30% of the take home

Answer:

4

Step-by-step explanation:

Answer:

20,250

Step-by-step explanation:

first you got to find out how many feet it climes per minute.

so you will divide 31500 by 14 and get 2250

then you will take 2250 and multiply it by 9 to get 20,250

Answer:

A. Parallel Lines  (Zero)

B. Intersecting Lines (One)

C. Coincident Lines (Infinitely Many)

Answer:

ok

Step-by-step explanation:

Answer:

The slope is [tex]-\frac{5}{4}[/tex] .

Answer:

(-3, -1)

If you rotate 180, you just flip the signs.

Answer:

$34.00

Step-by-step explanation:

This is because if you divide 17 by 0.50 that equalls34 the orginal  price

17/0.50=34

Answer:

Step-by-step explanation:

-12 - 1 = -13   and  -25 - (-12) = -13  ⇒  d = -13

[tex]a_n=a_1+d(n-1)\\\\a_1=1\\d=-13\\n=96\\\\a_{96}=1+(-13)(96-1)\\\\a_{96}=1-13\cdot95\\\\a_{96}=1-1235\\\\a_{96}=-1234[/tex]

Answer:

multiply 2,550 gallons to 30 and you will have your answer

Answer:

Step-by-step explanation:

first u will div 2550 by 30 and it will 38 gallons per day  or per hour

Answer:

£21.21

Step-by-step explanation:

First, find the total price of the two items before the discount was applied. To do this, multiply the discounted price by 1.15, which is the decimal form of 115%. I added 15% to 100% in order to reverse to discount.

29.75 * 1.15 = 34.21

Now that we know the total price before the discount, we can subtract the value of the tie from the total price to find the price of the shirt:

34.21 - 13 = 21.21

The shirt cost £21.21 before the discount.

Hope this helps :)

Answer: Darren's shirt is £16.75. And with the loyalty discount, his total price would approximately £25.28.

Explanation:

To find the price of his shirt, you subtract the total price with the ties price. 29.75 - 13.00 which would get you 16.75. And then you have to subtract 15% from 29.75. (Original price) Once you're finished, you should get 25.28 (Unless I'm dumb) And if you need to learn how to subtract or add with percentages, you can look for a video on YT. Hope this helped!

Answer:

Step-by-step explanation:

The answer would be 1/3

Hope this helps :)

Answer:

17

Step-by-step explanation:

Answer:

it is 17 my boys

Step-by-step explanation:

Have a great day or make your day great

Answer:

The answer is 27.25 dollars

Answer:

Hey buddy, here is your answer. Hope it helps u.

Step-by-step explanation:

Without adding we can find out the sum. We just need to count how many numbers are there. In this case there are 9. Then we need to sqau the number. So 9 square=81. So without adding the sum the answer is 81.

Answer:

81

Have a beautiful day! v(⌒o⌒)v

Answer:

I'm sorry for taking an answer but what's  the question? If you tell me the question in the comments I'd be happy to answer : )

Answer:

YEs it is a function

Step-by-step explanation:

Answer:

its a function

Step-by-step explanation:

A function from set X to set Y assigns one of Y's elements to each of X's elements.

Answer:

Venus 170 million km

Mars 253 million km

Step-by-step explanation:

Answer:

It is the last answer

Step-by-step explanation:

Answer:

Regaurdless of who ever wins...the world (meaning the US) will got to cr-ap tomorrow unfortuentley on my birthday their will be military on the streets and cops watching everyones every moves..

Trump wins...gunshotss

Biden wins...gunshots

Step-by-step explanation:

Why? because politics has come to the point that if your choice of party didnt win people become babies and throw tantrums on the streets and start riots...watch us start living like Bird Box frrrr

Answer:

[tex]x\geq 3[/tex]

Step-by-step explanation:

[tex]x+6\geq 9\\x+6-6\geq 9-6\\x\geq 3[/tex]

Answer:

x=2

Step-by-step explanation:

3x+4=10

subtract four on both sides, you will get 3x=6, divide by three on both sides, x=2

Answer:

i think its A..............

Step-by-step explanation:

A

Answer:

D)134.83

Step-by-step explanation:

Sorry I don't know how to explain it here but the answer is D and I'm 100% sure

Answer:

no its not its b The angle between the vectors is obtuse.

Step-by-step explanation:

oh for the other one

he is right for that one but im right on the other thing for it like it

Both vectors point in the same direction.

The dot product of two vectors is given as,

                   [tex]a\cdot b=ab*cos\theta[/tex]

Where [tex]\theta[/tex] is angle between two vectors.

Given that, [tex]a\cdot b=24,a=4,b=6[/tex]

Substitute values in above relation.

                [tex]24=4*6*cos\theta\\\\cos\theta=24/24=1\\\\\theta=cos^{-1}1=0[/tex]

Thus, both vectors point in the same direction.

Learn more about the vectors here:

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Answer:

A,D

Step-by-step explanation:

The requried, expression for the translation of trapezoid ABCD to A'B'C'D' is (x, y) ⇒ (x - 3, y +1). Options A and D both are correct.

Transform the shapes on a coordinate plane by rotating, reflecting, or translating them. Felix Klein introduced transformational geometry, a fresh viewpoint on geometry, in the 19th century.

Here,
Consider trapezoid ABCD,

As we can see the trapezoid is translated 3 units to the left and one unit up,

So the expression of the given translation is given as,
(x, y) ⇒ (x - 3, y +1)

To for the trapezoid A'B'C'D'.

Thus, the requried, expression for the translation of trapezoid ABCD to A'B'C'D' is (x, y) ⇒ (x - 3, y +1). Options A and D both are correct.

Learn more about transformation here:
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Answer: #1 3+x

#2  x-4

#3 6-x+10

Step-by-step explanation:

hehe hope this helps!

Answer:

No

Step-by-step explanation:

16 is a perfect square but 27 is a perfect cube