A monument in the shape of a right triangle sits on a rectangular pedestarl that is 7 meters high by 16 meters long. The longest side of the triangular monument measure 65 meters. How high off the ground is the top of the monument

A Monument In The Shape Of A Right Triangle Sits On A Rectangular Pedestarl That Is 7 Meters High By

Answers

Answer 1

Answer: 70 meters

Step-by-step explanation:

Hi, since the situation forms a right triangle and a rectangle, we have to apply the Pythagorean Theorem (for the triangle)

c^2 = a^2 + b^2  

Where c is the hypotenuse of the triangle (the longest side) and a and b are the other sides.  

Replacing with the values given:  

65^2 = 16^2 + x^2  

4,225 = 256 + x^2

4,225-256 = x^2

3,969=x^2

√3,969 =x

63=x

We have calculated the missing side of the triangle, now we have to add the height of the rectangle:

63 +7 =70 meters

Feel free to ask for more if needed or if you did not understand something.  


Related Questions

Tom bought a pen for $60 and sold it to gain 20% on his cost price. How much money did he gain.

Please answer quickly and honestly. You have 10 seconds to complete

Answers

Answer:

12

Step-by-step explanation:

that is because 20 of 60 is 12

60X20/100=12

Which of the following are whole numbers ?

Answers

Answer:

-1 and 3 should be right

Answer:

3

Step-by-step explanation:

Whole numbers are non-negative integers

A whole number can be 0 or positive with decimal/fraction part

Create an algebraic expression with at least 2 variables, 2 different operations and a constant.

Choose values for all your variables but you must include at least one fraction or decimal number.


Lastly, Evaluate your expression showing all steps.

Answers

Answer:

let's choose

5x+3x-7y+2x-16y+3+-5y

1) give values to our variables:

x=3

y=4

so

5(3)+3(3)-7(4)+2(3)-16(4)+3-5(4)

15+9-28+6-64+3-20

1) first take this step-by-step and solve each term from left-right

15+9=24

24-28=-4

-4+6=2

2-64=-62

-62+3=-59

-59-20=-79

-79 is the answer

Can someone please help me? I keep losing points...

CORRECT ANSWERS ONLY PLEASE!!!!

Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.

Answers

Answer:

$29,160

Step-by-step explanation:

i = prt

i = ($81,000)(.09)(4)

i = $29160

Answer:

$360

Step-by-step explanation:

Using the given formula :

I = P × R × T

I = 81000 × 9/100 × 4

I = $360

Someone be a homie cause I’m really tryin on this math shi thank youuuu

Answers

Answer:

The area of the shaded region is equal to difference of the sector contains that shaded region and the triangle.

The area of sector:

A_S = pi x radius^2 x 123/360

       = pi x 18.6^2 x 123/360

       = 371.346 (m2)

The area of triangle:

A_T = base x height x (1/2)

       = (18.6 x sin(123/2) x 2) x (18.6 x cos(123/2)) x (1/2)

       = 145.073 (m2)

=> Area of shaded region:

A = 371.346 - 145.073 = 226.273 = ~226.3 (m2)

Hope this helps!

:)

Answer:

First give me points and make me winner, then we can discuss the answer.

Step-by-step explanation:

Find two numbers, if their sum is 49 and their difference is 1/2 .

Answers

Answer:

[tex]x=24\frac{3}{4}\\ y=24\frac{1}{4}[/tex]

Step-by-step explanation:

Let the two numbers be x and y

So we have:

[tex]x +y = 49\\x-y=\frac{1}{2}[/tex]

using the elimination method, add the two equations together:

[tex]2x=49\frac{1}{2} \\2x=\frac{99}{2}[/tex]

solve for x:

[tex]x=\frac{99}{4}\\x=24\frac{3}{4}[/tex]

substitute our value for x back into the first equation we made:

[tex]x+y=49\\(\frac{99}{4}) + y=49\\y=49-\frac{99}{4}\\y=\frac{97}{4} \\ y=24\frac{1}{4}[/tex]

therefore,

[tex]x=24\frac{3}{4}\\ y=24\frac{1}{4}[/tex]

Circle $A$ has a diameter of 12 inches and circle $B$ has a diameter of 22 inches. What is the ratio of the area of circle $A$ to the area of circle $B$? Express your answer as a common fraction.

Answers

Answer:

36/121

Step-by-step explanation:

The other person is wrong, don't listen to him. I have done this problem before.

what are the first 100 hundred digits of pi?

Answers

Answer: first 1000 digest

3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679 8214808651 3282306647 0938446095 5058223172 5359408128 4811174502 8410270193 8521105559 6446229489 5493038196 4428810975 6659334461 2847564823 3786783165 2712019091 4564856692 3460348610 4543266482 1339360726 0249141273 7245870066 0631558817 4881520920 9628292540 9171536436 7892590360 0113305305 4882046652 1384146951 9415116094 3305727036 5759591953 0921861173 8193261179 3105118548 0744623799 6274956735 1885752724 8912279381 8301194912 9833673362 4406566430 8602139494 6395224737 1907021798 6094370277 0539217176 2931767523 8467481846 7669405132 0005681271 4526356082 7785771342 7577896091 7363717872 1468440901 2249534301 4654958537 1050792279 6892589235 4201995611 2129021960 8640344181 5981362977 4771309960 5187072113 4999999837 2978049951 0597317328 1609631859 5024459455 3469083026 4252230825 3344685035 2619311881 7101000313 7838752886 5875332083 8142061717 7669147303 5982534904 2875546873 1159562863 8823537875 9375195778 1857780532 1712268066 1300192787 6611195909 2164201989

Step-by-step explanation:

Answer:

you aren't ready for this!!!!

Step-by-step explanation:

And now

AsapSCIENCE presents-

100 digits of π

3.14159, this is π

Followed by 2-6-5-3-5-8-9

Circumference over diameter

7-9, then 3-2-3

OMG! Can't you see?

8-4-6-2-6-4-3

And now we're on a spree

38 and 32, now we're blue

Oh, who knew?

7, 950 and then a two

88 and 41, so much fun

Now a run

9-7-1-6-9-3-9-9

Then 3-7, 51

Half way done!

0-5-8, now don't be late

2-0-9, where's the wine?

7-4, it's on the floor

Then 9-4-4-5-9

2-3-0, we gotta go

7-8, we can't wait

1-6-4-0-6-2-8

We're almost near the end, keep going

62, we're getting through

0-8-9-9, on time

8-6-2-8-0-3-4

There's only a few more!

8-2, then 5-3

42, 11, 7-0 and 67

We're done! Was that fun?

Learning random digits

So that you can brag to your friends

It takes two men six hours to paint a fence. How long would it take three men to paint the same fence?

Answers

Answer:

Step-by-step explanation:

If 2 men take 6 hrs to paint the fence, then

  3 men would  obviously take  less time to paint the same fence;

            2 men= 6 hrs

            3 men= ?

thus, the time taken by three men to paint the same fence=2/3 ×6 hrs

                                                                                                = 4 hrs

What value does the 3 represent n the number 16.344 ?

Answers

Answer:

Three hundred

Step-by-step explanation:

Because the whole number is sixteen thousand THREE HUNDRED forty four

can anyone write me the steps of how to graph y=(x-9)^, please?

Answers

Answer:

first step is to put the (x-9)^2 into a standard form which is y=x^2−18x+81 then choose two integers larger than the x-value of the vertex point.next choose two integers smaller than the x-value of the vertex point. lastly substitute these values in place of "x" in the equation and solve for "y".

Step-by-step explanation:

x | y

7 | 4

8 | 1

9 | 0

10 | 1

11 | 4

4=(11-9)^2

1=(10-9)^2

0=(9-9)^2

1=(8-9)^2

4=(7-9)^2

what is the amount paid or charged for something.

Answers

Answer:

cost

Step-by-step explanation:

Answer:

It is the cost

Step-by-step explanation:

The following equation is true for all real values of n for which the expression on the left is defined, and B is a polynomial expression.

Answers

Answer:

6n^3

Step-by-step explanation:

3/3 *9^10/453*7+sqrt175

The polynomial expression is [tex]$B=6 n^{3}[/tex] ; where, [tex]\quad n \neq 0[/tex].

What is Polynomial expression?

Given:

[tex]$\frac{n^{2}+12 n+27}{3 n^{3}+9 n^{2}} \div \frac{2 n^{2}+18 n}{B}=1$[/tex]

To find:

the value of B is a polynomial expression.

Step 1

Let, [tex]$\frac{n^{2}+12 n+27}{3 n^{3}+9 n^{2}} \div \frac{2 n^{2}+18 n}{B}=1$[/tex]

[tex]$\frac{\frac{n^{2}+12 n+27}{3 n^{3}+9 n^{2}}}{\frac{2 n^{2}+18 n}{B}}=1$$[/tex]

Simplifying the above equation as

[tex]$\frac{\frac{n^{2}+12 n+27}{3 n^{3}+9 n^{2}}}{\frac{2 n^{2}+18 n}{B}}: \frac{B}{6 n^{3}}$[/tex]

then, we get

[tex]$\frac{B}{6 n^{3}}=1$$[/tex]

Step 2

Multiply both sides by [tex]$6 n^{3}$[/tex], then we get

[tex]$\frac{B}{6 n^{3}} \cdot 6 n^{3}=1 \cdot 6 n^{3} $$[/tex] where, [tex]\quad n \neq 0[/tex]

Simplifying the equation as

[tex]$B=6 n^{3}[/tex] ; where, [tex]\quad n \neq 0[/tex]

The value of [tex]$B=6 n^{3}[/tex] ; where, [tex]\quad n \neq 0[/tex].

Therefore, the polynomial expression is [tex]$B=6 n^{3}[/tex] ; where, [tex]\quad n \neq 0[/tex].

To learn more about polynomial expression

https://brainly.com/question/12978781

#SPJ2

please help will mark brainly

Answers

Answer:

The Answer Is 2/3

Step-by-step explanation:

If you look at the shaded area it is 2 shaded out of 3 which means 2/3

Answer:

2/3

Step-by-step explanation:

There are 3 blocks and 2 of those 3 are shaded.

Hope this helps

Please mark me as Brainliest

can you guy help for this questing
1234

Answers

Answer:

1. Median

2. Altitude

3.  Altitude

4. Neither

Step-by-step explanation:

Median- splits the side into two congruent parts

Altitude- Makes a right  angle

1. Splits the side. Median

2. Makes a right angle. Altitude

3.  Makes a right angle. Altitude

4. Doesn't make a right  angle or split the sides. Neither

In the diagram, the lines dividing the parking spaces are parallel. What must be true about <1 and <2? What theorem supports your conclusion?

Answers

Answer:

Option B.

Step-by-step explanation:

Given question is incomplete; find the question in the attachment.

Given figure shows the parking spaces are divided by the parallel lines.

Here the two lines having ∠1 and ∠2 are parallel and a transverse is intersecting these lines.

By alternate interior angles theorem, ∠1 and ∠2 will be equal in measure.

Therefore, Option B. will be the answer.

Four angles are formed by the intersection of the diagonals of this quadrilateral. Which statement is NOT true?

Answers

I think I don’t know sorry

Answer:

Can’t really understand your question!!

Would a piece of wood with a mass of 48 grams and a volume of 47.4 cm^3 float in water?

Answers

The piece of wood would sink.

Given that water has a density of 1 g/cm^3 the piece of wood would have to be lower than such density. A bigger density would then mean said object would sink.

To find the density of the piece of wood you need to know the density formula which is d= m/v, m being mass and v being volume. With the givens of mass and volume you just need to plug your values in to get 48/47.4=d. Dividing would then equate to about 1.02, which exceeds the density of water, therefore sinking.

An easy way to find the answer to this is if you see that the volume is greater than the mass then it will float, if less then it will sink. If they are the same number then you can suggest that it depends on the water’s buoyancy.

The piece of wood would sink if a piece of wood with a mass of 48 grams and a volume of 47.4 cubic cm, and a density is 1 g/cm³.

What is density?

It is defined as the mass-to-volume ratio. The density indicates the object's density and is represented by the symbol. The density is measured in kilograms per cubic meter.

We have:

Mass of the piece of wood = 48 grams

The volume of the piece of wood = 47.4 cubic cm

As we know, from the definition of density, density is the mass-to-volume ratio.

d = mass/volume

d = 48/47.4

d = 1.01 g/cm³ ≈ 1 g/cm³

As we know,

It will float if the volume is larger than the mass and sink if the reverse is true.

Thus, the piece of wood would sink if a piece of wood with a mass of 48 grams and a volume of 47.4 cubic cm, and a density is 1 g/cm³.

Learn more about the density here:

brainly.com/question/952755

#SPJ5

Hi Please help! this is math and coding soooo ye

Answers

Answer:

49

Step-by-step explanation:

Cube 7 to get the volume.(343)

Do 7^2 to get 49, then multiply by 6 to get the surface area(294)

Then subtract 343-294=49

What language are you programming in? Whatever print function you have it should probably go something like this.
The volume = 343
The surface area = 294

To calculate this in code you could just use
print(343-294);

Or you can use this
(You can swap out the 7s for the variable length)

Print((7*7*7)-(7*7*6));



Find the area of the composite figure below.
5 cm
2 cm
3 cm
a
16 cm?
b
17 cm
C
13 cm
d
10 cm2

Answers

Answer: D is the correct answer.

Find the distance between point a and point b

Answers

Answer:

5 units

Since they both have the same y value, just subtract the a value's x from the b's x value

Katherine wants to classify the quadrilateral below. Select all of the names that apply.
A. Quadrilateral
B. Square
C. Parallelogram
D. Rectangle
E. Rhombus

Answers

Answer:

a, c, and e

Step-by-step explanation:

quadrilateral= a four-sided figure

square= a plane figure with four equal straight sides and four right angles

parallelogram= a four-sided plane rectilinear figure with opposite sides parallel

rectangle= a plane figure with four straight sides and four right angles, especially one with unequal adjacent sides, in contrast to a square

rhombus =a parallelogram with opposite equal acute angles, opposite equal obtuse angles, and four equal sides

Answer:

A,B,D

Step-by-step explanation:

I had this question on a test and these were the correct answers. So this is guaranteed correct!

I need help with this, I don't understand how to do this.

Answers

Simple..A cyrcle first of all is a 360 degree angle...as a result

X=360-115-105-60

X=80 degrees

Which relationship is suggested by the scatter plot below?
A.The lighter the vehicle, the lower the gas mileage.
B.The heavier the vehicle, the higher the gas mileage.
C.The heavier the vehicle, the lower the gas mileage.
D.The weight of the vehicle does not affect the vehicle's gas mileage.

Answers

C. We see this because the scatter plot is going down in a negative direction, and the vehicle weight is going up on the x value

Jim made a rectangular prism whose length is 4in, height 10in, width 6in. Find the volume

Answers

Volume formula: V = lhw

Solve using the given values.

V = 4*10*6

V = 40*6

V = 240

Therefore, the volume is 240in³

Best of Luck!

Answer:

4*10*6=240

Just multiply

You received your monthly bank statement and you are reconciling your account balance using the information below. What is the true balance of your checking account?

Answers

srry idk but I followed u

Answer:

The answer is $299.97 , I took the test.

Step-by-step explanation:

What are the solutions of the quadratic equation? x^2-9x+18=0

Answers

Answer:

x=6   x=3

Step-by-step explanation:

x^2-9x+18=0

Factor

What 2 numbers multiply to 18 and add to -9

-6*-3 = 18

-6-3 = -9

(x-6) (x-3) =0

Using the zero product property

x-6 =0  x-3 =0

x=6   x=3

A restaurant manager wants to know which dish is most popular in his restaurant. Who should the manager survey to best find out what he wants to know? A. employees of the restaurant B. people who eat at his restaurant C. people who eat out at least once a week D. members of his family

Answers

Answer:

B.  People who eat there are likely to return and suggest what is good on the menu to friends and relatives.

6 The midpoint of the line segment joining
Alh, 4) and B(-5, k) is M(3,-2). Find
(a) the values of h and k,
(b) the equation of the perpendicular
bisector of the line segment AB.​

Answers

Answer:

Question A, the values of h is 11 and k is -8 .

Question B, the equation is y = (-4/3)x + 2 .

Step-by-step explanation:

Question A, in order to find the value of h and k, you have to use the mid-point formula and do comparison :

[tex]m = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )[/tex]

Let (x1,y1) be coordinate A (h,4),

Let (x2,y2) be coordinate B (-5,k),

Let mid-point be (3,-2),

[tex](3 \: , - 2) = ( \frac{h - 5}{2} , \frac{4 + k}{2} )[/tex]

[tex]by \: comparison, \: [/tex]

[tex] \frac{h - 5}{2} = 3[/tex]

[tex]h - 5 = 6[/tex]

[tex]h = 11[/tex]

[tex] \frac{4 + k}{2} = - 2[/tex]

[tex]4 + k = - 4[/tex]

[tex]k = - 8[/tex]

Question B, given that line is perpendicular bisetor to AB means that the line touches mid-point which is M(3,-2). Using gradient formula :

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

Let (x1,y1) be (11,4),

Let (x2,y2) be (-5,-8),

[tex]m = \frac{4 - ( - 8)}{11 - ( - 5)} [/tex]

[tex]m = \frac{12}{16} [/tex]

[tex]m = \frac{3}{4} [/tex]

The gradient of perpendicular line is opposite of line AB and when both gradient are multiplied, you should get -1 :

[tex]m1 \times m2 = - 1[/tex]

Let m1 be the gradient of AB, m = 3/4,

Let m2 be the gradient of perpendicular line,

[tex] \frac{3}{4} \times m2 = - 1[/tex]

[tex]m2 = - \frac{ 4}{3} [/tex]

Last, we have to use the slope-form equation, y = mx + b and susbtitute the coordinates of M into the equation :

[tex]y = mx + b[/tex]

Let m = -4/3,

Let x = 3,

Let y = -2,

[tex] - 2 = - \frac{4}{3} (3) + b[/tex]

[tex]b = 2[/tex]

someone plz help it looks easy but I dont understand

Answers

Answer:

Step-by-step explanation:

(√8)²=8,2²+2²=8

√8→2 units,2 units

(√7)²=7,(√5)²+(√2)²=5+2=7

√7→√5 units,√2 units

(√5)²=5,2²+1²=5

√5→2 units ,1 unit

3²=9,2²+(√5)²=9

3→2 units,√5 units.

Other Questions
Chitra is buying a TV. At A-Mart, the TV is on sale for $199, with 7%sales tax. At B-Mart the TV is $299, but has a $100 mail-in rebate.Sales tax of 7% is based on the full price. After the rebate, which is thebetter deal?5 point pls help 1a. Find the set of possible and actual zeros according to the rational root theorem using f(x)=3x^3+13x^2+16x+41b. Zeros Multiplicity Cross/Turn |____|_________|_________| |____|_________|_________|c. End Behavior:d. Y-int:e. Graph.2. Divide using synthetic Division: x^4-6x^2-2/x-23. Diving Using Long Division: 3x^3+5x^2+4x+1/3x+24. Using synthetic division and the remainder theorem to find P(c) if P(x)=4x^3+6x^2+4x+3 and c=-15. Use synthetic division and the given factor to completely factor each polynomial function and find the zeros: y=x^3+6x^2+3x-10;(x-1)Factored Form:Zeros: Select all the correct answers.Which classifications describe this figure?Parallelogram Trapezoid Quadrilateral Square Rhombus RectangleParallelogsam Which quotation best develops the concept that Douglass craves freedom? "What he most dreaded, that I most desired. What he most loved, that I most hated. That which to him was a great evil, to be carefully shunned, was to me a great good,..." "These words sank deep into my heart, stirred up sentiments within that lay slumbering, and called into existence an entirely new train of thought." "I now understood what had been to me a most perplexing difficulty--to wit, the white man's power to enslave the black man." "I used also to carry bread with me, enough of which was always in the house, and to which I was always welcome;..." Students are comparing the physical properties of sugar water, salt water,and plain water,including the affects of thermal energy. What safety equipment is needed?A-Graduated Cylinder and glovesB-safety goggles and thermometerC-thermometer and hot plateD-safety goggles and gloves Sarah, Leah, Haley, Lindsay, and Kim bought 4 bottles of water to share among themselves. They divided each bottle of water into 5 equal portions. Sarah took 1 portion from each bottle of water. 2.) We watched anof musicians rehearse in the theater.3.) Aof ships arrived at the docks right on time. Part of the population of 5,250 elk at a wildlife preserve is infected with a parasite. A random sample of 50 elk shows that 11 of them are infected. How many elk are likely to be infected? Solve and graphon number line.a-17>-9 In the following reaction, will the [H2] increase or decrease when equilibrium is reestablished after these stresses are applied? N2 (g) + 3 H2 (g) --> 2 NH3 (g) + 22 kJ NH3(g) is added ________ N2(g) is removed ________ 2. Note reaction: 2 NO (g) + H2 (g)N2 O (g) + H2 O (g) + 36 kJ In which direction, left or right, will the equilibrium shift if the following changes are made? NO is added ________ H2 is removed ________ N2O is added ________ H2 is removed ________ 3. In this reaction: CO2 (g) + H2 (g) + heat -->CO (g) + H2 O (g) In which direction will the equilibrium shift if these changes are made? CO is added ________ CO2 is added ________ H2 is removed ________ 4. In this reaction: 2 NO (g) + H2 (g) --->N2 O (g) + H2 O (g) + heatWhat will happen to the [H2O] when equilibrium is reestablished after these stresses are applied? NO is added ________ N2O is removed _________ Two short-tailed Manx cats are bred together. They produce 3 kittens with long tails 5 short tails and 2 without tails. From these results, how do you think tail length in these cats are inherited? Show the genotypes for both the parents and the offspring to support your answer. Carnegie worked in the railroad industry, but how did Andrew Carnegie make his fortune?A. Sewing machines B. Steel plantsC. TelephonesD. Typewriters Select an important issue and write an essay that argues your viewpoint. Support your claim with reasons and evidence.65 POINTS! profit 75% retail $350. what is cost at wholesale What is the value of x in the equation below 1/3(12x-24)=18? 2 6 8 10 9. 25% of the land in the U.S. is arable land. A. TrueB. False In the process of reconciling its bank statement for April, Donahue Enterprises' accountant compiles the following information: Cash balance per company books on April 30 $ 6,245 Deposits in transit at month-end $ 1,360 Outstanding checks at month-end $ 680 Bank charge for printing new checks $ 75 Note receivable and interest collected by bank on Donahues behalf $ 710 A check paid to Donahue during the month by a customer is returned by the bank as NSF $ 540 The adjusted cash balance per the books on April 30 is: Plz I need your help I will mark brainliest!!Which answer best describes the shape of this distribution?skewed rightskewed leftbell-shapeduniformAn untitled line plot from 35 to 49. The plot displays the following values as dots above the corresponding value on the number line. One dot at 36. One dot at 37. One dot at 38. One dot at 40. Two dots at 41. One dot at 42. Three dots at 43. Four dots at 44. Five dots at 45. Three dots at 46. Two dots at 47. One dot at 48. Jill has 64 ounces of lemonade. Each day, her brother drinks 16 ounces. Then at the end of each day Jill adds 25% of the remaining total back into the lemonade container. Which recursive formula models the number of ounces of lemonade in the container, an, at the end of the nth day? OUR TEACHER CALLED THIS A PUZZLE IN A PUZZLE I DONTB GET THIS MATH HW BUT DO U?What are the next two letters in the following series and why?W A T N T L I T F S _ _*Hint: Check Puzzle Title this is what she saidi copy and pasted from my computer