Last summer, Marrero was at Newgrange, a stone mound in Ireland that has a diameter of 250 feet. He found a walkway 62 feet long that leads to the center of the mound. Help Marrero find perpendicular distance x from the end of the walkway to either side of the mound.

Last Summer, Marrero Was At Newgrange, A Stone Mound In Ireland That Has A Diameter Of 250 Feet. He Found

Answers

Answer 1

Answer:

108 ft

Step-by-step explanation:

The line connecting the center with the end of the walkway is radius and is the hypotenuse of the right triangle.

Horizontal leg is the distance x.

Vertical leg has the length:

(250)/2 - 62 = 63 ft

Using Pythagorean theorem to find the length of x:

x² = (250/2)² - 63²x² = 125² - 63²x² = 11656x = √11656x = 107.96 ≈ 108


Related Questions

7y+9+2y+10= Answer plsss

Answers

Answer:

9y+19

Step-by-step explanation:

7y+9+2y+10

Combine like terms

7y+2y    +9+10

9y            +19

help please!! The measures of the angles of a triangle are shown in the figure below. Solve for x

Answers

Answer:

61

Step-by-step explanation:

80+39=119

180-119=61

help me pleaseeeeeeeeeeeeeeeee

Answers

Answer:

7

Step-by-step explanation:

7f=49
Divide both sides by 7
F=7

Please help me with this

Answers

Given:

The equation is:

[tex]3^x\times 9=3^{2n-1}[/tex]

To find:

The value of n in terms of x.

Solution:

We have,

[tex]3^x\times 9=3^{2n-1}[/tex]

It can be written as

[tex]3^x\times 3^2=3^{2n-1}[/tex]

[tex]3^{x+2}=3^{2n-1}[/tex]                [tex][\because a^ma^n=a^{m+n}][/tex]

On comparing the exponents, we get

[tex]x+2=2n-1[/tex]

Add 1 on both sides.

[tex]x+2+1=2n-1+1[/tex]

[tex]x+3=2n[/tex]

Divide both sides by 2.

[tex]\dfrac{x+3}{2}=n[/tex]

Therefore, the value of n is terms of x is [tex]n=\dfrac{x+3}{2}[/tex].

Honestly just helps ASAP

Answers

Answer and Step-by-step explanation:

RO = OW = 5.1

BRW + ORW = BRO = OWB

57 + 42 = 99 = OWB

I'm not entirely sure if these are correct, if its not, then im sorry.

#teamtrees #PAW (Plant And Water)

Shelby's gross pay is
$614.04 and her net pay is $460.05. What
percent of her gross pay is take-home pay?

Answers

The answer is 74.9218%
First set up the the equation 460.05/614.04
That gives you .749218
Move the decimal back twice because of the equation 74.9218
The answer is 74.9218%

Hope this helps!

Properties of Midsegments. Please help ASAP and explain! TYSM!

Answers

Answer:

It is always parallel to the third side, and the length of the midsegment is half the length of the third side.

Step-by-step explanation:

Helpppppppppppppppp plzzzz

Answers

Answer:

1. a) x b)1

2. a)x^3 b) 3

3. a) 3x^7 b) 7

Step-by-step explanation:

can someone help find x, y, and z

Answers

Answer:

Step-by-step explanation:

x^2=13^2-12^2

x^2=25

x=5

(sin90)/13=(sin(90-A))/5

sin(90-A)=5/13

90-A=arcsin(5/13)

A=90-arcsin(5/13)

tan(90-arcsin(5/13))=5/y

y=5/(tan(90-arcsin(5/13))

y=25/12

z^2=(25/12)^2+5^2

z=65/12

(x,y,z)=(5, 25/12, 65/12)

The next day, another group spent a total of $61. Each person in this group paid for general admission, and one person bought a special exhibit ticket. How many people were in this group?

Answers

Answer:

3

Step-by-step explanation:

Here is the full question :

This sign shows admission fees and ticket prices for a museum :

General Admission: $18

Tickets to Special Exhibits $7

Tickets to Movies $6

Note: Tickets to the Special Exhibit and the Movie are in addition to the General Admission fee

The next day, another group spent a total of $61. Each person in this group paid for general admission, and one person bought a special exhibit ticket. How many people were in this group?

If only one person bought a special exhibit ticket, the amount spent on general admission = 61 - 7 = $54

Since everyone would have to pay the general admission ticket, we can determine the number of people in the group

number of people in the group = total amount spent on general admission / price of general admission per person

= $54 / $18 = 3

8.
Find the slope of the line that passes through the pair of points. (–5.5, 6.1), (–2.5, 3.1)

A. [tex]-\frac{3}{8}[/tex]

B. [tex]\frac{3}{8}[/tex]

C. –1

D. 1

Answers

Answer:

Find the slope of the line that passes through the pair of points. (–5.5, 6.1), (–2.5, 3.1)

Use the slope formula to find the slope  m .

m =  − 1

Step-by-step explanation:

The slope is  

m

=

1

Explanation:

The slope can be found by using the formula:  

m

=

y

2

y

1

x

2

x

1

Where  

m

is the slope and (

x

1

,

y

1

) and (

x

2

,

y

2

) are the two points on the line.

Substituting the values from the points in the problem gives:

m

=

3.1

6.1

2.5

5.5

=  3.1  −  6.1  −  2.5  +  5.5 =  − 3/ 3 =  − 1

...............................................................................................................................................

,(6.1-3.1)/(-5.5-2.5) = 3/-8 = -3/8=-.375

...............................................................................................................................................

ANSWER

The slope is

EXPLANATION

The slope of the line that passes through,

can be found using the formula,

So we let,

and

We substitute them into the formula to get,

This gives us,

We simplify to get,

slope = -1

A right triangle has side lengths a, b, and c as shown below.
Use these lengths to find tanx, cosx, and sin x.

Answers

Step-by-step explanation:

step 1. tan x = opposite/adjacent = c/b

step 2. cos x = adjacent/hypotenuse = b/a

step 3. sin x = opposite/hypotenuse = c/a

Find the value of x.

Answers

x is 2 because 96•45 is 2.1
X=42
A triangles angles must add up to 180
180-93-45=42


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Answers

Answer:

You are just begging too much

Step-by-step explanation:

What is the definition of right angles and straight angles?

Answers

Answer:

Right Angle- an angle of 90°, as in a corner of a square or at the intersection of two perpendicular straight lines.

Straight Angle-A straight angle is 180 degrees. This is a straight angle.

Step-by-step explanation:

180 is a straight angle and 90 is a Right angle

help pls asap!!!!!!! brainliest!!!!!!

Answers

Answer:

D!

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

-2p^2 - 35pr - 8r^2

Yellowstone Middle School has 928 students. Teresa surveys a random sample of 24
students and finds that 6 are taking art. How many students at the school are likely to be
taking art?

Answers

Answer:

232 Students are Taking Art

Step-by-step explanation:

First, you multiply 6 times 928, which you should get 5,568. Then, divide that by 24, getting 232. I hope this helps :)

I think it’s 232 sorry if I’m wrong

If a shirt is on sale for $9 because it was 75% off, then what was the original price of the shirt?​

Answers

Answer:

24$

Step-by-step explanation:

9 / 75% (or .75 it doesn't matter which one) = 12

12 + 12 = 24$

hope this helps...

Which item in nature does NOT follow the Fibonacci Sequence *
Pinecone
Artichoke
Nautilus Shell
Pineapple

Answers

Answer:

all follow the sequence

Step-by-step explanation:

Pinecone and Pineapple - Scales and bracts are modified leaves, and the spiral arrangements in pine cones and pineapples reflect the spiral growth habit of stems. To confirm this, bring in a leafless stem from some tree or shrub and look at its buds, where leaves were attached.

Artichoke - The spiral of an artichokes leaves can be described by the Fibonacci Sequence. This sequence is a simple mathematical pattern where each successive number in the sequence is equal to the sum of the two preceding numbers, beginning with 0 and 1.

Nautilus shell - Each number is the sum of the two previous numbers. An approximation of a logarithmic spiral, created by drawing circular arcs connecting the opposite corners of squares in the Fibonacci tiling; this one uses squares of sizes 1, 1, 2, 3, 5, 8, 13, 21, and 34.

10 is 6% of what number

Answers

Answer:

166.67

Step-by-step explanation:

We have, 6% × x = 10 or, 6/100 × x = 10

Multiplying both sides by 100 and dividing both sides by 6,

we have x = 10 × 100/6

x = 166.67

If you are using a calculator, simply enter 10 × 100 ÷ 6, which will give you the answer.

Hope this helps

Which of the following options have the same value as 72% of 50

A. 72 . 5/100
B. 72 . 50
C. 72/100 . 50
D. 0.72 . 50
E. 72/100 . 100

Answers

Answer:

c and d are the correct answers

the correct answers are c, d

For this cylinder the radius r = 6.8 inches and the height L = 14.2 inches. Which is the BEST estimate for the surface area?

Answers

Answer:

923 in^2

Step-by-step explanation:

I took the test

HELP PLZ


WILL GIVE BRIANLIEST TO BEST ANSWER

Didyhostic
Analytics
Recommendations
Skill plans
Algebra 26.2 Micipoint formula: find the midpoint tot
Math
Language arts
Learn with an example
(9,7) and K(5, 3) are the endpoints of a line segment. What is the midpoint M of that line
segment?
Write the coordinates as decimals or integers.
M=

Answers

Answer:

Step-by-step explanation:

The midpoint of any line segment is the average of the coordinates of the endpoints.

mp=((x2+x1)/2, (y2+y1)/2), in this case we have points (9,7) and (5,3) so

mp=((9+5)/2, (7+3)/2)

mp=(7,5) (x=7 and y=5)

Paycheck Pay Period Annual Salary
$1,300 monthly $
$1,000 biweekly $
$550 weekly $
$800 semimonthly $

Answers

Answer:

id like to get paid weekly

Step-by-step explanation:

Answer:

i dont get it

Step-by-step explanation:

Singers enrrique kathy rihanna and bruno are preforming a charity concert for world hunger and their order of appearance will be chosen randomly the outcomes in the sample will be represented as string offers

Answers

Answer:

The answer is "24 elements"

Step-by-step explanation:

Please find the complete question in the attached file.

Given that:

[tex]\to Enrique=E\\\\ \to Katie=K \\\\\to Rihanna=R \\\\\to Bruno=B\\\\[/tex]

The element in space are:

[tex]EKRB , ERKB , ERBK , EKBR , EBKR , EBRK , KERB , KEBR , KREB , KRBE ,\\\\ KBRE , KBER , RKEB , RKBE , RBKE , RBEK , REBK , REKB , BEKR , BERK ,\\\\ BREK ,BRKE , BKRE , BKER[/tex]

if 36/5x=3/5 find x​

Answers

Answer:

X= 12

Step-by-step explanation:

36/5x =3/5(cross multiplication)

180=15x

divide by 15 both sides

X = 12

Just look at the picture please. I don't want to type all that, lol. Only answer if you know! Thanks have a wonderful day! Remember your! You are appreciated! Bye ; D​

Answers

-1/3x

What term can you add to 5/6x -4 to make it equivalent to 1/2x - 4?

First I see the constants (-4) are equal to each other, so I don’t need to add anything to them.

5/6x and 1/2x are different though, so I know I need to add something, let’s call it y, to 5/6x to make it equal 1/2x

To add fractions, they have to have the same denominator. 1/2x becomes 3/6x.

5/6x + y = 3/6x
Subtract 5/6x from both sides
y = -2/6x

-2/6x can be simplified to -1/3x, so -1/3x is the answer.

A collection of nickels and quarters is worth $2.10. There are 22 coins in all . How many of each coin
are there?

Answers

Answer:

17 nickels

5 quarters

Step-by-step explanation:

Let n = no. of nickels

22 - n = no. of quarters

Each quarter is 25 cents and each nickel is 5 cents

5n = total amount of money in cents for the nickels

25(22 - n) = total amount of money in cents for the quarters

Since the total amount of money is $2.10 or 210 cents we have the equation

5n + 25(22 - n) = 210

5n + 550 - 25n = 210

-20n + 550 = 210

-20n = -340

n = 17 nickels

22 - n = 22 - 17 = 5 quarters

Now, you don't need to do all that I did.  I explained in detail what is going on in this problem.  All that you would need to do is write this:

let n = no. of nickels

22 - n = no. of quarters      and then write the equation and solve

5n + 25(22 - n) = 210

??                                          OK?

On​ Monday, a museum had 350 visitors. On​ Tuesday, it had 680 visitors. Estimate the percent change in the number of visitors to the museum. Use pencil and paper. Estimate how many people would have to visit the museum on Wednesday to have the same estimated percent change between Tuesday and Wednesday as between Monday and Tuesday. Explain your answer.

Answers

Answer: See explanation

Step-by-step explanation:

From the question, we are informed that On​ Monday, a museum had 350 visitors while on Tuesday, it had 680 visitors. The percent change in the number of visitors to the museum will then be:

= (680 - 350)/350 × 100

= 330/350 × 100

= 94.29%

The number of people that'll have to visit on Wednesday to have the same estimated percent change will be:

= 680 + (94.29% × 680)

= 680 + (0.9429 × 680)

= 680 + 641

= 1321

Brianna has $37 in her checking account. She deposits $150. Then she writes a check for $61. How many dollars does she have in her checking account now?

Answers

Answer:

$126

Step-by-step explanation:

A deposit adds money into your checking account, so add $150 to $37.

150+37=187

If you write a check, you take money out, so subtract $61 from $187

187-61=126

Your final answer is $126. Hope this helps!

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