Mathematics College

3. Technology required. Gateway Arch in St. Louis, Missouri, is 630 feet tall. Priya can look

up at a 50 degree angle to see the top of the arch. How far away from the base of the

arch is she standing?

Answers

Answer 1
Tan(50°) = 630/x
x = 630/tan(50°) = 528 ft
Answer 2

Priya is standing 528.63 feet away from the base of Gateway Arch in St. Missouri.

What is trigonometry?

In the field of mathematics known as trigonometry, correlations between angles and length ratios are studied. The field was created in the Hellenistic era in the third century BC as a result of the use of geometry in astronomical research.

Given parameters:

Height of the Gateway Arch in St. Missouri = 630 feet.

Priya have to look up at a 50° angle to see the top of the arch.

Now from definition of tanθ in trigonometry:

tan50° = height of the Gateway Arch in St. Missouri ÷ distance of Gateway Arch in St. Missouri

hence, distance of Gateway Arch in St. Missouri = height of Gateway Arch in St. Missouri ÷  tan50°

= 630 feet  ÷  tan50°

= 528.63 feet.

Hence, she is standing 528.63 feet away from the base of Gateway Arch in St. Missouri.

Learn more about trigonometry here:

https://brainly.com/question/29002217

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Related Questions

Suppose a game uses a spinner that has four possible outcomes: 1, 2, 3, and 4. What outcomes make up the complementary event of getting "2 or greater" on this spinner?

Answers

Answer:

Outcome of complementary event of getting "2 or greater" on the spinner = {1}

Step-by-step explanation:

Let A be an event of getting '' 2 or greater ''

The complementary event of A be = A' = getting ''less than 2 ''

Now,

The Sample space S = { 1, 2, 3, 4 }

Outcome of A' = { 1 }

∴ we get

Outcome of complementary event of getting "2 or greater" on the spinner = {1}

4) Steven walked 3 kilometers,
How far did Steven walk in
meters?

Answers

Answer:-
3000 m

Explanation:-
Kilometres into metres
3km = 3 × 1000
= 3000 m

A blender was originally sold for $90 and has been marked down to $79.20. What is the percentage of discount for the blender

Answers

Answer:

12%

Step-by-step explanation:

Percentage discount

[tex] = \frac{discount}{original \: price} \times 100\% \\ = \frac{90 - 79.20}{90} \times 100\% \\ = 12\%[/tex]

☆ Discount= original price -marked price



Identify the percent of change as an increase or decrease. Then find the percent of
change. Round to the nearest tenth of a percent, if necessary.
$18.75 to $18.60
Answers:
Increase; 15%
Decrease; 0.15%
Decrease: 0.008%
Decrease; 0.8%

Answers

Answer:

Decreasing; 0.8%

What is the slope of the line shown below?

Answers

Answer:

The slope of the line will be 1//3

Step-by-step explanation:

Hope this Helped

Brgy. Mataas has a
population of 365 thousand this
is about 40% of the population of Brgy. Mababa.
what
is the population of Brgy. Mababa?​

Answers

Answer:

Step-by-step explanation:

Your answer

40% of 365000 is = 146000

Mark it as Brainlist answer. Follow me.

Change 7.5% to fraction in its lowest term

Answers

Answer:

3/40

Step-by-step explanation:

7.5% = 75/1000

Then you simplify to get 3/40

Bob has 17/23 left of a wall to demolish. Each swing of a sledgehammer brings down an additional 17/161 of the wall. How many more swings will it take him to bring down all of the wall?

Answers

(17/23)/(17/161) = 161/23 = 7

find the area of a square plot of side 12 cm​

Answers

Answer:

area of a square

= side × side

= 12 × 12

=144cm^2

since it’s a square you do 12X12 which is 144

Khan Ana
Writing expressions v
Write an expression to represent:
Three minus the product of two and a number x

Answers

Answer:

Step-by-step explanation:

the expression is 3-(2x)

If 8 spiders can spin 24 webs in 6 days, how many days will it take 12 spiders to spin 18 webs?

Answers

Answer:

3 days

Step-by-step explanation:

See the steps below, one ratio - one pair of numbers changes at a time.

      spiders    webs      days

8                24        6               8                 4         1               ⇒   Divide by 6 2                 1         1               ⇒   Divide by 4 12                6         1               ⇒   Multiply by 6 12               18        3               ⇒   Multiply by 3

Which point shows the maximum speed of the car?

Answers

Answer:

H

i think

Step-by-step explanation:

Simplify e5 x e4 lol

Answers

Answer:

9e

Step-by-step explanation:

If e is a variable without a value then 5e*4e is 9e.

Just add the numbers
4+5 Is 9
Then just add the letter
9e

PLZ HELP!! NEED QUICKLY!!
Fill In The Blanks!!

Answers

Answer:

Step-by-step explanation:

Statement                                   Solution

1. AB = CB                                  Definition of isosceles triangle

2: AD = DC                                  BD is the median to base AC

3. BD = BD                                 Reflexive property

4. ΔADB ≅ ΔADC                       Side Side Side Congruent

somone answer this question PLEASE

Answers

Answer:

[tex] \huge x > 3[/tex]

hope this helps

Answer:

x>3

Step-by-step explanation:

thats the answer.......

b(x)=[x+4], what is b(-10)?​

Answers

Step-by-step explanation:

b(x) = x + 4

b( -10) = - 10 + 4

= - 6

Hope it will help :)❤

Answer:

-6

Step-by-step explanation:

b(-10) = -10 +4

= -6

SHOW work
5.3 divided by 0.25 = ?

Answers

Answer:

5.3 divided by 0.25 is 21.2

Answer: 21.2______________________________________Divide 5.3 ÷ 0.25 = 21.2______________________________________

Sorry, Loves.

But I can't really type my work-

I'm on a chrome book so I don't have a camera.

Darnell's team scored 40 points at the game. Darnell scored 15% of the team's points. How many points did Darnell score?

Answers

Answer:

Darnel scored 6 points

Step-by-step explanation:

15% of 40 can be written as 40 * 0.15 which is 6. Darnell scored 6 points.

Which property is used for the following expression (4x2) x 5 = 2 x (5 x 4) ?

Answers

Associative property

Please help someone

Answers

Answer:

A.

Step-by-step explanation:

because a right angle was the same legnth as that figure and also you can make a L so its A

Area: 252 ft2
Express the side length of this square as a radical in simplest form

Answers

side length = √252
= √(2² × 3² × 7)
= √2² × √3² × √7
= 2 × 3 × √7
= 6√7

help please, i would appreciate

Answers

Answer:

592.83 ft^2

Step-by-step explanation:

First estimate the area of the rectangle:

Area rectangle = Base x Height = 20 * 36 = 720 ft^2

and then subtract from it the area of a semi-circle of radius 18/2 = 9 ft

Using the formula for the semicircle's area:

Semi-circle's area= pi * R^2 / 2 = 3.14 * 9^2 / 2 = 127.17 ft^2

Such gives us:

720 ft^2 - 127.17 ft^2 = 592.83 ft^2

combine like terms
[tex]y + 4 + 3(y + 2)[/tex]
[tex]5x + 3(y + 4x)[/tex]
​

Answers

Answer:

17x+7y+10

Step-by-step explanation:

y+4+3(y+2)

you have to multiply 3 by the numbers/variables in the parenthesis

y+4+3y+5

Do the same to the other equation

5x+3(y+4x)

5x+3y+12x

Set an equation that will let you add their like terms.

y+4+3y+5+5x+3y+12x

I'm going to add like terms with the y

y+3y+3y = 7y

Now like terms with x

5x+12x = 17x

Now put them all as a single equation

17x+7y+10

A local pizza shop has a membership program for frequent buyers. The membership costs $20 per month and members get a discounted price of $1.50 per slice of pizza. Shandra purchased a membership to this pizza shop. How much would Shandra have to pay the pizza shop if she bought 5 slices of pizza this month? What would be the monthly cost for x slices of pizza?

Answers

Answer:

Shandra would pay $27.50 for 5 slices

Cost = 20+1.50x

Step-by-step explanation:

Given

[tex]Membership = \$20[/tex]

[tex]Discounted\ Price = \$1.50[/tex] per slice

Solving (a): Cost of 5 slices

Represent the total price with y and the number of slice with x.

So, we have:

[tex]y = Membership + Discounted\ Price * x[/tex]

This gives:

[tex]y = 20+ 1.50* x[/tex]

In this case: x = 5.

So, we have:

[tex]y = 20+ 1.50* 5[/tex]

[tex]y = 20+ 7.50[/tex]

[tex]y = 27.50[/tex]

Shandra would pay $27.50 for 5 slices

Solving (b): Cost of x slices

This has been solved in (a).

[tex]y = 20+ 1.50* x[/tex]

[tex]y = 20+1.50x[/tex]

Hence, the cost of x slices is 20+1.50x

2(f^4)^2f^2
——————-
8f^12

Answers

Answer:

=2f^10

Step-by-step explanation:

Which fraction is greater than 2/5? 3/10, 7/10, 2/4, 3/6

Answers

Answer:

all of them are except for 3/10

Step-by-step explanation:

Answer:

3/6

Step-by-step explanation:

plz mark as brainliest

thank you

19NBoli

1. Evaluate each expression:


a. −12•13


b. −12•−13


c. 12•(−54)


d. −12•(−54)

Answers

Answer:

a.  −12•13= -156

b. −12•−13= 156

c. 12•(−54) = -648

d. −12•(−54) = 648

Step-by-step explanation:

a and c have negative

b and d have positive

hope this helps ;)

Answer:

....

Step-by-step explanation:

Please complete this question, the question is saying: write the correct integer in the blank


Is due please. I will give brainlest

Answers

First one is negative 3 then its negative 3 over 6

what is the value of x in 2x = 64​

Answers

Answer:

2×=64

2×/2=64/2

×=32.....x is solved

Answer:

x=32

Step-by-step explanation:

when divided by 2, 64 is equal to 32

Forty percent of all high school graduate work during the summer to earn money for college tuition for the upcoming fall term. Assuming a binomial distribution, if 6 graduates are selected at random, what is the probability that none of the graduates have a summer job

Answers

Answer:

[tex]0.0467[/tex] is the probability that none of the graduates have a summer job

Step-by-step explanation:

Here

P [tex]= 0.40[/tex] and n [tex]= 6[/tex]

Probability that none of the graduate gets job

this means that x = 0

P (x = 0) [tex]= ^6C_0 * (0.40)^0 * (0.60)^6[/tex]

P (x = 0) [tex]= 0.0467[/tex]

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