A hill slopes at an angle of 12.5° with the horizontal. From the base of the hill, the angle of inclination of a 459 foot tower at the top
of the hill is 36. How much rope would be required to reach from the top of the tower to the bottom of the hill (round to the nearest
integer)?
A)
188 feet
B)
424 feet
C)
665 feet
D)
1124 feet

Answer:

[tex] \huge \boxed{ \boxed{ - \frac{6}{7} }} \\ [/tex]

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\[/tex]

From the question we have

[tex]m = \frac{ - 3 - - 9}{ - 5 - 2} = \frac{ - 3 + 9}{ - 5 - 2} = - \frac{6}{7} \\ [/tex]

We have the final answer as

[tex] - \frac{6}{7} \\ [/tex]

Hope this helps you

Answer:

17550 solutions

Step-by-step explanation:

Given that:

y1 +y2+y3+y4=27

where;

(yi  ≥ 0 and yi [tex]\epsilon[/tex] [tex]{\displaystyle \mathbb {Z} }[/tex]  )

The no. of a nonnegative integer determines the number of ways to choose 27 objects from (4) distinct objects with repetition regardless of the order.

i.e

[tex]\bigg(^{27}_{4} \bigg)[/tex]

∴

The number of nonnegative integer solution is [tex]\bigg(^{27}_{4} \bigg)[/tex]

[tex]= \dfrac{27!}{4!(27-4)!}[/tex]

[tex]= \dfrac{27!}{4!(23)!}[/tex]

[tex]= \dfrac{27\times 26\times 25\times 24 \times 23 !}{4\times 3\times 2\times 1(23)!}[/tex]

[tex]= \dfrac{27\times 26\times 25\times 24 }{4\times 3\times 2\times 1}[/tex]

[tex]= \dfrac{421200}{24}[/tex]

= 17550 solutions

Answer:

6.7

Step-by-step explanation:

Answer:

I think its A

Step-by-step explanation:

Answer:

7627.36

Step-by-step explanation:

95342 * 8% = 7627.36

Answer:

Marcus earns 15% commission on his total sales at work.

Suppose Marcus's sales totaled $725 last week. How much did he earn in commission?

A.

$833.75

B.

$616.25

C.

$108.75

D.

$10.88

Step-by-step explanation:

Answer:

To be honest I don't know I just need some points 1+1=2

Step-by-step explanation:

Answer: 3*(2m-5)=8m^2+4

Step-by-step explanation:

The mathematical expression of the given statement is 3(2m-5) = 8m²+4.

What is an mathematical expression?

Expression in mathematics is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Here, the given mathematical statement is given as :

three times the difference of two times m and five is equal to eight times m to the second power increased by four , which can be written as :

3(2m-5) = 8m²+4

Therefore, the mathematical expression of the given statement is 3(2m-5) = 8m²+4.

Read more about  mathematical expression at:

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Answer:

120.75 miles apart

Step-by-step explanation:

[tex]\textsf{Hey there!}[/tex]

[tex]\mathsf{81^2=81\times81\rightarrow\bf{6,561}}[/tex]

[tex]\mathsf{(6,561)^{\dfrac{1}{8}}= \bf{3}}[/tex]

[tex]\boxed{\boxed{\mathsf{Therefore, your\ answer\ is: \boxed{\huge\textsf{\bf{C. 3}}}}}}\huge\checkmark[/tex]

[tex]\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\dfrac{\frak{LoveYourselfFirst}}{:)}[/tex]

Answer:

c

Step-by-step explanation:

because I said so " But rearle you cant start a sentence with because"

ok then, The answer is C because I said so

All of them produce an angle of 90 degrees, therefore

90 degrees x 4 = 360 degrees

Answer:

1 and 3, 2 and 4.

Step-by-step explanation:

1. -1.66666666667

2. 1

3. -1.66666666667

4. -1

Answer:

A prime number is a number that can only be divided by 1 and itself.

Answer:

D

Step-by-step explanation:

Answer:

A car takes 4 hours to reach a destination travelling at the speed of 63 km/h.

Speed = distance / time

Distance = speed × time

Distance it took the car, travelling for 4 hours to a destination at a speed of 63 kilometers per hour would be

4 × 63 = 252 kilometers.

if the car travels at a different speed of 56 kilometers per hour and the distance remains 252 kilometers, the time it takes will be

Time = distance / speed

= 252/56 = 4.5 hours

The time varies inversely with the speed. The more the speed, the lesser the time and the lesser the speed, the more the time.

Let speed = s and let time = t

s varies inversely with t

Introducing constant of inverse variation k, it becomes

s = k/t

When s = 56, t = 4.5

56 = k/4.5

k = 4.5 × 56 =252

This is the distance

Step-by-step explanation:

Answer: A. The vectors point in the same direction

Step-by-step explanation:

edge2020

Answer:

A) The vectors point in the same direction.

Step-by-step explanation:

got it right on edge :)

Answer:

14.47

Step-by-step explanation:

Given:

Consider the three points are A(-1,1), B(1,-2) and C(0,-4).

These points rotated 270 degrees by the origin.

To find:

The coordinates of points after rotation.

Solution:

If a figure rotated 270 degrees by the origin, then

[tex](x,y)\to (y,-x)[/tex]

Using this rule of transformation, we get

[tex]A(-1,1)\to A'(1,1)[/tex]

[tex]B(1,-2)\to B'(-2,-1)[/tex]

[tex]C(0,-4)\to C'(-4,0)[/tex]

Therefore, the points after rotation are A'(1,1), B'(-2,-1) and C(-4,0).

Answer: 15.28

Step-by-step explanation:

The expected value for the age of a randomly chosen student is,

⇒ 15.28

Given that:

Total number of students,

⇒ n = 1500,

And, Age : 13, 14, 15, 16, 17, 18

Probability : 0.01, 0.25, 0.27, 0.30, 0.16, 0.01

Now,

We can Calculate the expected value as shown below,

E = 13 × 0.01 + 14 × 0.25 + 15 × 0.27 + 16 × 0.30 + 17 × 0.16 + 18 × 0.01

E = 0.13 + 3.5 + 4.05 + 4.8 + 2. 72 + 0.18

E = 15.38

Therefore, The expected value for the age of a randomly chosen student is 15.38.

To know more about probability:

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Answer:

hundreth

Step-by-step explanation:

Answer:

मापनको एकाईलाई हर्ट्ज (हर्ट्ज) भनिन्छ, जुन प्रति सेकंड टेक्निकली एक चक्र हो, घडीको गति मापन गर्न प्रयोग हुन्छ। ... कम्प्युटरको घडी गति सामान्यतया मेगाहेर्ट्झ (मेगाहर्ट्ज) वा गिगाहर्ट्ज (GHz) मा मापन गरिएको छ। एक मेगाहेर्ट्ज प्रति सेकेन्ड १० लाख टिक्स बराबर हुन्छ, र एक गिगाहर्ट्ज बराबर एक सेकेन्ड टिक टिक प्रति सेकेन्ड।

Answer:

no she should take the deal

Step-by-step explanation:

there are 5 bills in that bag and only 1 of them has a chance of being over the regular price where as 3 have a chance of being under the regurla price the odds a not in the girl scouts favor as she has a 60%chance of not getting a $1 and only a 20% chance of getting the $10.

Answer:

76.666. . . and 112.9032258064516

Step-by-step explanation:

Answer:

probably not, but if you were to post the questions without it saying on it that its an exam (because those get deleted all the time) people could help you through it. :)

Step-by-step explanation:

Answer:

I'm confused too I'm sorry

Answer: a/c = 1

a/b = 1/2 => a = 1/2 .b

b/c = 2 => c = 1/2 .b

=> a/c = (1/2.b)/(1/2.b) = 1

Step-by-step explanation:

If a is half b, and b is twice c, then the fraction a:c will be 1.

In such a fraction, the value that appears above the horizontal line is referred to as the numerator.

In another word, if we divide two numbers by each other then the upper word is called the numerator, and the lower word is called the denominator.

As per the given,

a is half b ⇒ a = b/2

b is twice c ⇒ b = 2c

By substitution,

a = (2c)/2

a = c

a:c = 1:1 = 1

Hence "If a is half b, and b is twice c, then the fraction a:c will be 1".

For more about fractions,

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Answer:

3,266

Step-by-step explanation:

Answer:

3266cm²

Step-by-step explanation:

try it it healps