Can someone answere this please

Based on the calculations, the height of this ravine is equal to 143.95 feet.

Given the following data:

First of all, we would assign a variable to the height of the ravine, which is 100 feet tall.

Let the height of ravine be h.

Note: We would choose 46° as a measure for angle A.

From the image attached, we would determine the length of the hypotenuse by using Cosine trigonometric:

[tex]Cos A=\frac{Adj}{Hyp} \\\\Cos 46=\frac{100}{h} \\\\0.6947=\frac{100}{h}\\\\h=\frac{100}{0.6947}[/tex]

h = 143.95 feet.

Read more on trigonometry functions here: https://brainly.com/question/4515552

[tex]\textit{volume of a hemisphere}\\\\ V=\cfrac{1}{2}\cdot \cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ V=74466 \end{cases}\implies 74466=\cfrac{1}{2}\cdot \cfrac{4\pi r^3}{3} \\\\\\ 74466=\cfrac{2\pi r^3}{3}\implies 223398=2\pi r^3\implies \cfrac{22398}{2\pi }=r^3\implies \cfrac{111699}{\pi }=r^3 \\\\\\ \sqrt[3]{\cfrac{111699}{\pi }}=r~\hfill \stackrel{\textit{diameter = 2r}}{2\sqrt[3]{\cfrac{111699}{\pi }}\implies \sqrt[3]{\cfrac{893592}{\pi }}}~~ \boxed{\approx~~65.77}[/tex]

Answer:

Step-by-step explanation:

Area of triangle = 1/2 * base * height

Use the side of length 5.6cm as base, the height will be a perpendicular line from the base to the tip of the triangle.

From the right-angle triangle formed by the height and the side of length 3.9cm,

sin(56°45') = height / 3.9

height = 3.9*sin(56°45')

Substituting back into the area equation:

Area = 1/2*5.6*3.9*sin(56°45')

= 9.0cm^2

= 9cm^2

Use sine rule for Area

[tex]\\ \rm\rightarrowtail Area=\dfrac{1}{2}absinC[/tex]

[tex]\\ \rm\rightarrowtail Area=\dfrac{1}{2}(3.9)(5.6)sin56°45'[/tex]

[tex]\\ \rm\rightarrowtail Area=10.92(0.836)[/tex]

[tex]\\ \rm\rightarrowtail Area=10.22cm^2[/tex]

The area of the considered triangle RST is given by: Option A: 9 sq. units.

If we have:

Then we get:

Area of a triangle = [tex]\dfrac{b \times h}{2} \: \rm unit^2[/tex]

The missing image is attached below.

If we take the base of the triangle as RS, then as the line UT is perpendicular to RS (as RS is parallel to x axis and UT is parallel to y axis) and touching from the base line RS to T, thus, it can be taken as height.

Thus, we have:

Area of RST = half of length of RS (base) times length of UT (height)

As visible from image, we have:

Length of RS = 6 blocks of unit length = 6 units

Similarly, length of UT = 3 units

Thus, we get:

Area of RST = [tex]\dfrac{6 \times 3}{2} = 9 \: \rm unit^2[/tex]

Thus, the area of the considered triangle RST is given by: Option A: 9 sq. units.

Learn more about area of a triangle here:

https://brainly.com/question/14503701

The probability shows that the number of people who responed with a genre other than one of the genres listed is 168.

The number of people who responded with a genre other than one of the genres listed will be:

= 600 - (102 + 114 + 84 + 132)

= 600 - 332

= 168

The probability for adventure = 102/600 = 0.17

The probability for comedy = 114/600 = 0.19.

The probability for mystery = 84/600 = 014

The probability for romance = 132/600 = 0.22

The probability for others = 168/600 = 0.28

Learn more about probability on:

https://brainly.com/question/24756209

C = 2 x pi x r

C = 2 x pi x 15 = 30 π

Answer:

x < 0.382

Step-by-step explanation:

because we know that 34x is smaller than 13. therefore after division we can find out that x must be smaller than 0.382

Answer:

6:45

Step-by-step explanation: add 45 min to 6:00 and you have your answer

Answer:6:45

Step-by-step explanation: 6:00 + 45minutes would be 6:45

Answer:

- 16f - 12

Step-by-step explanation:

- 4(4f + 3) ← multiply each term in the parenthesis by - 4

= - 16f - 12

Hello!

In order to simplify this expression, we should use the Distributive Property and distribute -4:

-4(4f+3)

-16f-12

Note:

[tex]\square[/tex] A negative times a negative is a positive.

Hope everything is clear.

Let me know if you have any questions!

#KeepOnLearning

Answer:

a = 2

b = 4

Step-by-step explanation:

Δy   = 2x + a.................for turning point, Δy/Δx = 0.

Δx

0 = 2x + a

x = -a/2.........from ( -1, 3), x = -1...............so,

-1 = -a/2.................a = 2.

y = x^2 + ax + b.

y = 3  ,    a = 2.................substitute.

3 = (-1)^2 + 2(-1) + b

3 = 1 -2 + b

b = 4

Answer:

The turning point of a parabola is the vertex

Vertex form of a quadratic equation: [tex]\sf y=a(x-h)^2+k[/tex]

(where (h, k) is the vertex and a is the coefficient of the variable x²)

Given:

Therefore, a = 1

Substituting a = 1 and the given vertex into the equation:

[tex]\sf \implies y=1(x-(-1))^2+3[/tex]

[tex]\sf \implies y=(x+1)^2+3[/tex]

[tex]\sf \implies y=x^2+2x+1+3[/tex]

[tex]\sf \implies y=x^2+2x+4[/tex]

Therefore, a = 2 and b = 4

Answer:

Heads or Tails

Step-by-step explanation:

its right there super simple.

Answer:

Step-by-step explanation:

where is the prism???

   i can't answer without seeing the question

Answer:

what are the options? the answer I got was a fraction 19/4

Answer:

DOL, also known as the Department of Labor, is the agency responsible for promoting the welfare and opportunities of wage earners.

Their main goal is to fight for equal rights among workers and to make their wishes and needs at the workplace come true.

Answer:

c

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

because its not an angle

Answer:

i would say a

Step-by-step explanation:

because b c and d sort of have an angle to them but a is straight

Answer:

the answer is 529

Step-by-step explanation:

see the explanation photo

Answer:

$25,626.53

Step-by-step explanation:

You are going to want to use the compound interest formula, which is shown below.

P = initial balance

r = interest rate (decimal)

n = number of times compounded annually

t = time

First, change 8.5% into a decimal:

8.5% ->  -> 0.085

Now lets plug in the values into the equation

Lastly, subtract the total from the initial balance:

Michelle earned $25,626.53 in interest.

Answer:

A I believe try A that should be it

Answer:

43/m

Step-by-step explanation:

Answer:

43/m

Step-by-step explanation:

We can consider the word phrase 'the quotient of' to be a division property.

We can also contemplate that the phrase 'a number m' represents a variable, m, of an unknown value.

Together, we link these two to create the expression;

43 ÷ m which can also be known as 43/m.

Answer:

1.625

Step-by-step explanation:

Answer:

The correct answer is -30

Step-by-step explanation:

4(x+32)=8 basically you multiply 4 times the numbers that are in the parentesis which that will equals to 4x+128 because 4x1= 4x and 4x32 = 128. then you subtract 128 from 8 which equals to -120. you divide -120 by 4 which equals to -30.

Answer:

I'm not sure I understand the formatting.  I don't know what the x is supposed to be for the middle term (-x(2.2x10^6)), so I dropped the x for the calculation.  I also assumed all terms are to be added.  If these assumptioons are correct, the answer is:

4.58012 x 10^8 or 4.6x10^8  (see below)

Step-by-step explanation:

(4.8x10^8) - (2.2x10^6) + 1.2x10^4

(4.8x10^8) - (0.022x10^8) + (0.00012x10^8)

 4.8

-0.22

+0.00012

4.58012

4.58012 x 10^8

There are only 2 significant digits (2.8x10^8) so if this is an answer relating to a scientific measurement, it would need to rounded to simply 4.6x10^8.

Answer:

~Male Y/n here~ I think this would be your question in decimal form,

2304.6875

(Hope this helps!)

Answer:

The dependent variable is the amount of money you earn because the amount of money you earn depends on how many chores you do.

Answer:

the volume is 210

Step-by-step explanation:

length x width x height

length=6

width=5

height=7

6 x 5 = 30

30 x 7 = 210

Answer:

51

Step-by-step explanation:

17x6=51

Correct Statements:

1) The unit rate for green pencils is $0.32

2) The blue pencils are priced less per pencil.

Step-by-step explanation:

Green pencils:

Given that,

4 green pencils = $1.28

Divide 4 to both sides

1 green pencil = $1.28 / 4

1 green pencil = $0.32

Blue pencils:

Given that,

24 blue pencils = $5.52

Divide 24 to both sides

1 blue pencil = $5.52 / 24

1 blue pencil = $0.23

Blue pencil is priced less per pencil when compared to green pencil.

[tex]\rule[225]{225}{2}[/tex]