Matilda and her family took a trip to Yellowstone National Park to see Old Faithful
erupt. Matilda was standing 125ft from the blast. The blast rose 100ft in the air.
What is the angle from Matilda to the top of the blast?

Answers

Answer 1

Using the slope concept, it is found that the angle from Matilda to the top of the blast was of 38.66º.

What is a slope?

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

In this problem, the vertical change is of 100 ft, while the horizontal change is of 125 ft, hence:

[tex]\tan{\alpha} = \frac{100}{125}[/tex]

[tex]\alpha = \arctan{\left(\frac{100}{125}\right)}[/tex]

[tex]\alpha = 38.66^\circ[/tex]

The angle from Matilda to the top of the blast was of 38.66º.

More can be learned about the slope concept at https://brainly.com/question/18090623


Related Questions

Tell whether the relation is a function. Explain your reasoning
{(-1, 7), (9, 4), (3, -2), (5, 3), (9, 1)}

Answers

Answer:

no, since the numbers are mixed up both negative and positive

Answer:

relation is a function

Step-by-step explanation:

For the relation to be a function each value of x in the domain must map to exactly one unique value of y in the range.

This is the case here so the relation is a function

Gagu is paid £1200 per month.

He is going to get a 4% increase in the amount of money he is paid.

Work out how much Gagu will be paid per month after the increase.

Answers

gagu kaba de charot labyu..

ito formula pala makuha interest,

You can calculate simple interest in a savings account by multiplying the account balance by the interest rate by the time period the money is in the account. Here's the simple interest formula: Interest = P x R x N. P = Principal amount (the beginning balance).

PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS!

Answers

Answer:

See below ~

Step-by-step explanation:

Finding m∠HCG

HE is the diameter line [= 180°]∠ECF + ∠FCG + ∠HCG = 180°60° + 75° + ∠HCG = 180°∠HCG = 180° - 135°∠HCG = 45°

Finding m∡DF

∠ECF + ∠DCE60° + 45°105°

Answer:

m∠HCG = 45°

m∡DF = 105°

Step-by-step explanation:

  m∠ECD + m∠ECF + m∠FCG

= 45° + 60° + 75°

= 180°

As angles on a straight line always sum to 180°, we can conclude that the line DG is a straight line and the diameter of the circle, and the Point C is the center of the circle.

Assuming that line EH is also a straight line, using the vertical angles are always congruent theorem, m∠ECD = m∠HCG.  

Therefore,  m∠HCG = 45°

We always measure arcs in a counterclockwise direction.

⇒ m∡DF = m∡DE + m∡EF

               = 45° + 60°

               = 105°

Find an expression for the area of each shade region,write your answer in standard form

Answers

Answer:

8x+24

Step-by-step explanation:

(x+5)²-(x+1)²

x²+10x+25-(x²+2x+1)

x²+10x+25-x²-2x-1

8x+24

Hence the required equation is 8x+24 or 8(x+3)

ASAP as well I’m sorry ……..

Answers

42 degrees, it is an alternate interior angle to the 138°, meaning the two angles add to 180°
You add the two angels to 180 degrees

Find the LCM by first finding the prime factor.

Answers

Answer:

Step-by-step explanation:

3(x² - y²) = 3(x + y)(x -y)

x² - 2xy + y² = (x - y)²

LCM = 3(x + y)(x - y)²

What is the value of x? (7+x)=(3x+1)3

Answers

Answer:

x = 1/2

Step-by-step explanation:

7 + x = 3*3x + 3*1

7 + x = 9x + 3

8x = 4

x = 1/2

Answer for this question is 1/2 or .5

Find the area of the circle with circumference 2(pi)r cm​

Answers

Answer:

area should be (pi)r^2

Mid School.
Why don't students want their name written up by their teacher, when they in trouble?

Answers

Answer:

Students will usually not want their name written because they believe it is humiliating.

the GCF factor the given expression: 21xy + 14y

7(3xy + 2y)
7y(3x + 2)
3(7xy + 14y)
7xy(3 +2)
NEXT

Answers

Answer:

7y

Step-by-step explanation:

GCF for 21xy+14y is: 7y

because GCF is greatest common factor. y is common for both units so take it out and greatest number that both numers can divide by is 7,

so 7y.

Check:

7y(3x+2)

7y*3x + 7y*2

21yx + 14y

true

Faith wants to add a 20% tip to a $56 restaurant bill. How much will Faith pay including the tip?

Answers

Answer:

67.20$

Step-by-step explanation:

multiply 56 by 1.2

Answer:

$67.2

Step-by-step explanation:

Given:

Price = $56Tip = 20%

∴ Equation: Price + Tip = Total

⇒ 56 + (20/100 × 56) = Total

Simplify the equation to obtain the total:

⇒ 56 + (20/100 × 56) = Total⇒ 56 + (20/50 × 28) = Total⇒ 56 + (20/25 × 14) = Total⇒ 56 + (4/5 × 14) = Total⇒ 56 + (56/5) = Total

Convert the expression in the parenthesis into decimals:

⇒ 56 + (56/5) = Total⇒ 56 + (11.20) = Total

Open the parenthesis and simplify:

⇒ 56 + 11.20 = Total⇒ $67.2 = Total

Faith will pay (including the tip) $67.2.

An equation that is true for all values of the variables in its domain is _____.


a property

a function

an identity

a formula

Answers

An equation that is true for all values of the variables in its domain is an identity

Hope that helps!

5x-3y=-2, -x+2y=-8
Solve by elimination method

Answers

mark brainliest pls:,) hope this helpss

What is the answer to the question 3m-8n/13

Answers

Answer:

the answer to the question is 3m8n = 13

Find the area of the figure.

Answers

Step-by-step explanation:

such problems are always the combination of areas of simple figures.

in our case here the simplest way seems to me to calculate the area of the whole 15×15 square (the side lengths are 15 and 9+6 = 15) and then subtract the small 6×6 square (top left), the small 6×3 triangle (bottom right) and the larger 6×9 triangle (top right).

we know that the left side of the main square is 9+6 = 15.

we know that the missing side piece (top right) is also 6 (like its left side). and the right side piece is 15-6-6 = 3.

that is how we know the side lengths of the missing pieces.

so,

15×15 = 225 cm²

the small square is

6×6 = 36 cm²

the large triangle is

6×9/2 = 3×9 = 27 cm²

the small triangle is

6×3/2 = 3×3 = 9 cm²

so, the total area of the figure is

225 - 36 - 27 - 9 = 153 cm²

What is the value of this expression when
d= 47 and f = 3?
6 (d - f) +f

Answers

Answer:

267

Step-by-step explanation:

We are given the expression:  6 (d - f) +f

The value of the expression when d= 47 and f = 3 is :

6 (47 - 3) +3 = 6×(44) + 3 = 264 + 3 = 267

=267

It's trig...First person gets branliest

Answers

Answer:

~29.99

Step-by-step explanation:

Regression analysis is better than the high-low method of cost estimation because regression analysis: Multiple Choice Fits data into a mathematical equation. Takes less time. Is mathematical. Can provide greater precision and reliability. Is a statistical method.

Answers

Answer:

hola no sé qué decirte no se Inglés

A park recorded 3.5x10^4 visitors in 1936 and 2.2x10^5 visitors in 1986. How many more people visited the park in 1986 than in 1936

Answers

In 1936 visitor 3.5*10^4 = 35000
In 1986 visitor 2.2*10^5 = 220000
So more people visited = (220000-35000)
= 185000

PLSSS HELP IF YOU TURLY KNOW THISS

Answers

Answer:

C. 5 1/2

Step-by-step explanation:

Hope this helps!

Have a blessed day!!

Which functions have a vertex with a x-value of 0? select three options. f(x) = |x| f(x) = |x| 3 f(x) = |x 3| f(x) = |x| − 6 f(x) = |x 3| – 6

Answers

The functions have a vertex with a x-value of 0 will be f(x) = |x|,f(x) = |x|+ 3 and f(x) = |xl - 6.Option 1,2 and 4 are  functions have a vertex with a x-value of 0.

What is a function?

A connection between independent variables and the dependent variable.is defined by the function. Functions help to represent graphs and equations.

The standard absolute value function is found as;

[tex]\rm f(x) = a|x - h| + k[/tex]

Where,

(h, k) denotes to the vertex

h is the vertex of the x-coordinate

k is the y-coordinate of the vertex

By comparing the standard equation with the given equation in the options we will get the functions to have a vertex with an x-value of 0;

[tex]\rm f(x) = |x| \\\\ \rm f(x) = |x| + 3 \\\\ f(x) = |x| - 6[/tex]

The functions have a vertex with a x-value of 0 will be f(x) = |x|,f(x) = |x|+ 3 and f(x) = |xl - 6.Option 1,2 and 4 are  functions have a vertex with a x-value of 0.

Hence options 1,2 and 4 are functions that have a vertex with an x-value of 0.

To learn more about the function refer to the link;

https://brainly.com/question/12431044

Answer:

A, B, D

Step-by-step explanation:

Someone help me please

Answers

It’s (d) because if one solution to a quadratic function g is the solution given then the other solution must be it’s complex conjugate which is d.

solve for N.
8/10 = 4/N

Answers

Answer:

5

Step-by-step explanation:

Cross multiply

8n = 40

N = 5

Answer:

n= 5

Step-by-step explanation:

1. Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    8/10-(4/n)=0
2. Simplify 4/n = after that the equation will be 8/10 - 4/n = 0

3. Simplify 4/5 = after that the equation will be 4/5 - 4/n = 0

look at the question!!

Answers

Answer:

The right answer is G. 9

Step-by-step explanation:

(11y-36)° = 63°

11y = 63 + 36

y = 99 ÷ 11 = 9

y = 9

8.6.PS-8
Find the area of this circle. Use
3.14 for n.
3 ft
.
The area of the circle is about ft2.
(Round to the nearest hundredth as needed.)

Answers

ANSWER:

379.94 ft^2

EXPLANATIONS:

What’s The Answer Of This? PLEASE HELP

Answers

Answer: 68 degrees

Step-by-step explanation:

HELP PLS HOW YOU GET ANSWER

Answers

Answer: d, the diameter, is about 36.92 units

Step-by-step explanation:

         The c value is the circumference and we are being asked to solve for the diameter.

         We can take the value they give for the circumference, plug it into the circumference formula, and solve for d. Please note that the diameter is two times the radius, or r, so at the end I will multiply r by two.

C = 2πr

(116) = 2πr

18.46 ≈ r

r ≈ 18.46

-

18.46 * 2 = 36.92

     The missing measure is about 36.92 units.

The trinomial x2 bx – c has factors of (x m)(x – n), where m, n, and b are positive. what is the relationship between the values of m and n? explain.

Answers

The relationship between the values of m and n for the trinomial x²+bx -c is (m+n) is the sum of the roots and (mn) is the product of the roots.

What is trinomial?

A trinomial is the type of algebraic expression in which there are three terms present and more than one variable are present.

The trinomial given in the problem is,

[tex]x^2 +bx - c[/tex]

This trinomial has factors of,

[tex](x +m)(x - n),[/tex]

Where m, n, and b are positive.

If this factors multiply by each other, we get,

[tex](x +m)(x - n)\\x^2+nx+mx+nm\\x^2+(n+m)x+nm[/tex]

Compare it with the trinomial, we get,

[tex]b=(m+n)[/tex]

Which is the sum of the terms,

[tex]c=nm[/tex]

Which is the product of the terms.

Hence, the relationship between the values of m and n for the trinomial x²+bx -c is (m+n) is the sum of the roots and (mn) is the product of the roots.

Learn more about the trinomial here;

https://brainly.com/question/1538726

The length of a rectangle is 8 feet more than its width. the area of the rectangle is 97 ft.² determine the length and width of the rectangle

Answers

Answer:

L =      [tex]\sqrt{113}[/tex] +4

W =     [tex]\sqrt{113}[/tex] -4

or L = 14.63 ft, and W = 6.63 ft

Step-by-step explanation:

Let L be the length and W the width.

We are told that the "length of a rectangle is 8 feet more than its width:"

L = W+8

Area of the rectangle is given by L*W, and is 97 [tex]ft^{2}[/tex]

L*W = 97

Substituting L=W+8, we get:

(W+8)W=97  [tex]ft^{2}[/tex]

[tex]W^{2}[/tex] + 8W = 97

[tex]W^{2}[/tex] + 8W - 97 = 0

The roots to this equation are:

-4-[tex]\sqrt{113}[/tex], and[tex]\sqrt{113}[/tex] -4

Only the second gives a positive value, so W = [tex]\sqrt{113}[/tex] -4

Since L=W+8, the length, L, is  [tex]\sqrt{113}[/tex] -4 + 8 or  [tex]\sqrt{113}[/tex] +4

In decimal:

L = 14.63 ft, and W = 6.63 ft

GIVING BRAINLEST TO THE PERSON THAT CAN EXPLAIN HOW TO DO THIS THE BEST :)

Answers

This one you will use pythagorean theorem to get the height of the parallelogram and then use the area of a rectangle to solve. (please see pic)

don’t forget to reduce your radical when solving for height.

18 root 6 is the answer or selection 1.

Answer:

18√6

Step-by-step explanation:

From Pythagoras theorem,

b^2 + p^2=h^2

or, 1^2 + p^2 = 5^2

or, p^2=25 - 1

or, p=√24

or, p=2√6 (√24 = √4*√6

= 2*√6

= 2√6)

Again,

we know,

Area of parallelogram (A) = bash*height

=9*2√6

=18√6

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