A hunter walks 400m Up a hill which slopes at an angle of 20 to the horizontal. Calculate,correct to the nearest metre, the: a. horizontal distance he covered b.vertical height through which he rises.​

Answers

Answer 1

let y be the horizontal distance and x the vertical

y/400 = cos 20

y=400 cos20

y=376m

x/400 =sin20

x=400sin20

x=137m

A Hunter Walks 400m Up A Hill Which Slopes At An Angle Of 20 To The Horizontal. Calculate,correct To

Related Questions

HELP ME PLEASE ANYONE FOR 20 POINTS

Answers

Answer:

The correct answer is no.B

-4/3
Subtract 4 from both sides, and plug it in the quadratic formula

Tickets to a local movie were sold at $6.00 for adults and $4.50 for students. If 390 tickets were sold for a total of $2190.00, how many student tickets were sold

Answers

Answer: Therefore 100 student tickets were sold

Step-by-step explanation:

Let the number of student tickets be x

So adult tickets = 390 - x

ATQ

4.5(x) + 6(390-x) = 2190

4.5x + 2340 - 6x = 2190

-1.5x + 2340 = 2190

-1.5x = 2190-2340

-1.5x = -150

x = -150/-1.5

x = 100

Therefore 100 student tickets were sold

please click thanks and mark brainliest if you like :)

What's the equation of the graph shown above? ) y = 4x + 2 B) y = 4x – 2 C) y = 5x + 2 D) y = 2x + 4

Answers

Answer:

i need the graph

Step-by-step explanation:

.

Juan starts a bacteria culture and records the number of bacteria in the Petri dish for the first couple of hours.
Hours Bacteria
0
160
1
320
2
640
If the pattern continues, how many bacteria can he expect to find after 17 h?
Enter your answer in the box.

Answers

9514 1404 393

Answer:

  20,971,520

Step-by-step explanation:

The population is doubling every hour, so after 17 hours it will be the initial population (160) multiplied by 2^17 = 131,072.

After 17 hours, he can expect to find 160×131072 = 20,971,520 bacteria.

Need tha answer explained

Answers

Answer:

Bri what do you mean explanation your answer is correct

Please mark me brainliest thanks

Answer:

It is 77.2, so your anwer is correct.

Step-by-step explanation:

Finding decimal divided by decimal too hard? Don't worry, I've got your back! To do division, you can do it the hard way by just dividing it, but there's something more simple.

Move the dividend's decimal point to the right until it's not a decimal. Do the same with the divisor, but it depends on how many decimal places on the dividend was moved by. So in this case, you move it by 2 decimal places for BOTH! Then you just simply divide it. It gives you the same answer.

BTW if I didn't make my explanation clear, please comment.

X, 2X + 11 and 4X - 3 are consecutive terms of an arithmetic sequence. Find the constant difference between terms. Give a formula for finding the nth term of the sequence. Use your formula to find the 27th term of this sequence.

Answers

Common difference between the terms is 36

Formula for nth term is [tex]a_n=36n-11[/tex]

27th term is 961

Given :

X, 2X + 11 and 4X - 3 are consecutive terms of an arithmetic sequence

To Find:

We need to find the constant difference between the given terms and also find the nth term . Also find the 27th term .

To find the difference , we need to take the difference of consecutive terms

[tex]2x+11-x=x+11\\\\4x-3=(2x+11)= 4x-3-2x-11=2x-14[/tex]

Both the common differences are equal

[tex]x+11=2x-14\\Solve \; for \; x\\Subtract \; x\\11=x-14\\Add \; 14\\x=25[/tex]

First term is 25

second term is 2(25)+11=61

Difference is 61-25=26

Common difference = 36

Use nth term formula is

[tex]a_n=a+(n-1)d\\a=25 (first term )\\d=36\\a_n=25+(n-1)(36)\\a_n=25+36n-36\\a_n=36n-11[/tex]

To find 27th term , replace n with 27

[tex]a_{27}=36(27)-11=961[/tex]

Learn more :  brainly.in/question/41142594

(2i+1)/(1+i) is equal to

Answers

Answer:

Step-by-step explanation:

(1 + 2i) / (1 + i)                            Rationalize the denominator.

(1 + 2i)(1+i) / (1 + i)(1-i)                  Remove the brarckets

(1 + i + 2i - 2) / (1 - i + i  - i^2)     Combine

-1 + 3i / (2)                                i^2 = - 1 in the denominator

using complex number system Compute the three cube roots of z = −8.​

Answers

Write z = -8 in polar form:

[tex]z = -8 = 8e^{i\pi}[/tex]

Then the cube roots of z are

[tex]z^{1/3} = 8^{1/3} e^{i\left(\frac{\pi+2n\pi}3\right)[/tex]

where n ∈ {0, 1, 2}, or

[tex]z^{1/3} \in \left\{8^{1/3} e^{i\pi/3}, 8^{1/3} e^{i\pi}, 8^{1/3} e^{i\,5\pi/3}\right\} \\\\ z^{1/3} \in \left\{2 \left(\dfrac12 + i\dfrac{\sqrt3}2\right), -2, 2 \left(\dfrac12-i\dfrac{\sqrt3}2\right)\right\} \\\\ \boxed{z^{1/3} \in \left\{1+i\sqrt3, -2, 1-i\sqrt3\right\}}[/tex]

A covered wagon on the Oregon
Trail could travel about 2.5 miles
per hour on flat terrain. About how
many miles could it travel in
9 hours?

Answers

Answer:

3.6miles

Step-by-step explanation:

9/2.5=3.6

-14=3-c+(9+5c) solve for c

Answers

Answer:

c=-26/4 simple addition and multiplation

Step-by-step explanation:

[tex] - 14 = 3 - c + (9 + 5c) \\ - 14 = 3 - c + 9 + 5c \\ c - 5c = 3 + 9 + 14 \\ - 4c = 3 + 9 + 14 \\ - 4c = 26 \\ - 2c = 13 \\ c = - \frac{13}{2} \\ c = - 6.5[/tex]

write 20.99988 as a mixed number​

Answers

Answer:

Wouldn't it just be

     24997

20 ------------

     25000

Step-by-step explanation:

Answer:

20 24997/25000

Step-by-step explanation:

1. Convert 0.99988 into a fraction...99988/100000

2.Simplify with greatest common factor.....99988/4=24997      100000/4=25000

24997/25000

3. Add 20 to 24997/25000......20 24997/25000

If (x^2−1)/(x+1) = 3x + 5, then x + 3 =
(A) -3
(B) -2
(C) 0
(D) 2
(E) 4

Answers

The answer is C) 0
Because math

Solve the equation for y. Identify the slope and y-intercept then graph the equation.

Y=-3x+1

Y=
M=
B=

Please Include a picture of the graph and show your work if you can

Answers

Answer:

y = 1        m = -3       b = 1

Step-by-step explanation:

y = mx + b                          y = -3x + 1

y = 1

m = -3

b = 1

What is the maximum value of -4z^2+20z-6?

Answers

Answer:

Hello,

19

Step-by-step explanation:

2 methodes:

1)

[tex]y=-4x^2+20x-6\\\\=-4(x^2-5x)-6\\\\=-4(x^2-2*\dfrac{5}{2}*x+\dfrac{25}{4} ) +25-6\\\\=-4(x-\frac{5}{2} )^2+19\\\\Maximum\ =19 \ if\ x=\dfrac{5}{2} \\[/tex]

2)

y'=-8x+20=0 ==> x=20/8=5/2

and y=-4*(5/2)²+20*5/2-6=-25+50-6=19

finding maximums/minimums in quadratic equations:

The maximum value is 19

We want to find the maximum value of:

y = -4z^2+20z-6

Here, you can see that we have a quadratic equation with a negative leading coefficient.

This means that the arms of the graph will go downwards. From this, we can conclude that the maximum will the at the vertex (the highest point).

Remember that for a general equation like:

y = a*x^2 + b*x + c

The x-value of the vertex is:

x = -b/(2a)

(you can see that the variable is a different letter, that does not matter, is just notation)

Then for our equation:

y = -4z^2+20z-6

The z-value of the vertex is:

z = -20/(2*-4) = -20/-8 = 5/2

Then the maximum of the equation:

y = -4z^2+20z-6

is that equation evaluated in z = 5/2

So we get:

y = -4*(5/2)^2 + 20*(5/2) - 6  = 19

The maximum value is 19

If you want to learn more about this topic, you can read:

https://brainly.com/question/14336752

If f(x) = x2 + 9x – 14 and g(x) = x2 – x + 3, find (f – g)(x).

Answers

Answer:

10x-17

Step-by-step explanation:

f(x) = x^2 + 9x – 14

g(x) = x^2 – x + 3

(f – g)(x)=x^2 + 9x – 14  - (x^2 – x + 3)

Distribute the minus sign

(f – g)(x)=x^2 + 9x – 14  - x^2 + x - 3

Combine like terms

    =10x-17

use different method of depreciation for each of the assests and explain why u used the method (ex : straight line method, double declining method, unit of production method)

Answers

Step-by-step explanation:

sorry but I don't know this answer

Maria is using a meter stick to determine the height of a door. If the smallest unit on the meter stick is centimeters, which measurement could Maria have used to most accurately record the height of the
door?

Answers

Answer:

2.31 m

Step-by-step explanation:

with marking down to centimeter length, one can only estimate accurately to the nearest  centimeter or hundredth of a meter.

Answer:2.31 meter

Step-by-step explanation: none

8th class maths reader answer​

Answers

Missing information to solve

Answer:

plz complete question

so I can help you.

Write the quadratic function f(x) = x2 - 2x - 8 in factored form.
A) f(x) =(x - 4)(x - 2)
B) f(x) =(x + 4)(x - 2)
C) f(x) =(x - 4)(x + 2)
D) Rx) =(x + 4)(x + 2)

Answers

Answer:

Hello,

answer C

Step-by-step explanation:

[tex]f(x)=x^2+2x-8\\\\=x^2-4x+2x-8\\\\=x(x-4)+2(x-4)\\\\=(x-4)(x+2)\\\\Answer\ C[/tex]

A cubical water tank is 80 cm broad. find the volume of tank?​

Answers

Answer:

512000

Step-by-step explanation:

l=80cm

v=l^3

=80^3

=512000cm^3

Which equation represents a line with slope į and y-intercept -6?
2x +3y=-6
3x - 2y= 6
2x - 3y= 18
3x - 2y= 12

Answers

Answer:

Answer:y=-2/9+3

Step-by-step explanation:

All 20 children at a party were given one cookie, and then some were given an additional cookie. If a total of
32 cookies were given out, how many children received an additional cookie?
8
O 10
О о о
O 12
o 14

Answers

Answer:

If there were 20 children at a party, and each were given one cookie, then a total of 20 cookies were given out.

However, this is not the case, as 32 cookies were given out. So, we can see that 32 - 20 children, or 12 children, received one additional cookie.

Let me know if this helps!

What is the slope of the line in the graph?

Answers

Answer:

Hello,

answer slope =-3/4=-0.75

Step-by-step explanation:

Line is passing through (0,1) and (4,-2)

[tex]\Delta y=-2-1=-3\\\\\Delta x=4-0=4\\\\Slope=\dfrac{-3}{4}[/tex]

An integer is eight less than three times another if the product of two integers is 35 then find the integers

Answers

integers means *whole number*
8x < 3x =35
Less means -
So it will be

8x -3x =35
5x = 35
Divide both side by 5
x = 35 divided by 5
x = 7

So that it will be that
8(7) - 3(7) = 35
56 - 21
= 35

So the integers are
a) 56 and
b) 21

Pls thank me byeee

Please help urgently

Answers

Answer:

Explanation:

Prove that triangle PQS is congruent to triangle RSQ

PS = QR (given)
PQ = RS (given)
Angle PQS = Angle QSA

Therefore, triangle PQS and triangle QSA is congruent (SAS).

[tex]\sqrt{-25[/tex]

Answers

Answer:

±5i

Step-by-step explanation:

sqrt(-25)

We know that sqrt(ab) = sqrt(a) sqrt(b)

sqrt(-1) sqrt(25)

±i 5

±5i

Write the phrase as an algebraic expression: 3 less than 4 times a number

Answers

Answer:

4x-3 is the expression to your question

Answer:

3[tex]\leq[/tex]4x

Step-by-step explanation:

resolve 2x^2+5x-1÷x(x-1)(x+2) into partial fractions.

Answers

2x^3 + 4x^2 - x + 2
——————————
x

find the equation of the line that is perpendicular to y=6x-2) and contains to the point (6-,2)

Answers

Answer:

y = -1/6x - 1.

Step-by-step explanation:

I  am assuming that the point id (6, -2).

The slope of the required line = -1/6.

y - y1 = m(x - x1) where m = slope and x1,y1 is a point on the line so we have

y - (-2) = -1/6( x- 6)

y + 2 = -1/6x + 1

y = -1/6x - 1.

In a regression analysis involving 30 observations, the following estimated regression equation was obtained. If required enter negative values as negative numbers.
In a regression analysis involving 30 observations
Interpret b1, b2, b3, and b4 in this estimated regression equation (to 1 decimal). Assume that for each coefficient statement, the remaining three variables are held constant. Enter negative values as negative numbers.
b1 = estimated change in y per 1 unit change in x1
b2 = estimated change in y per 1 unit change in x2
b3 = estimated change in y per 1 unit change in x3
b4 = estimated change in y per 1 unit change in x4
Predict y when x1 = 10, x2 = 5, x3 = 1, and x4 = 2 (to 1 decimal).

Answers

In this, question the equation is missing that's why in the solution we define the equation and its complete solution:

Let the given equation:

[tex]\bold{\hat{h}=17.6+3.8x_1-2.3x_2+7.6x_3+2.7x_4}[/tex]

[tex]\bold{b1 = 3.8}[/tex] units expect changes in the y for each 1 unit change in [tex]\bold{x_1}[/tex]

[tex]\bold{b2 = -2.3 }[/tex] units expect changes in the y for each 1 unit change in  [tex]\bold{x_2}[/tex]

[tex]\bold{b3 = 7.6 }[/tex] units expect changes in the y for each 1 unit change in [tex]\bold{x_3}[/tex]

[tex]\bold{b4 = 2.7}[/tex] units expect changes in the y for each 1 unit change in [tex]\bold{x_4}[/tex]

Calculating the estimated value of the y when:

[tex]\to \bold{x_1 = 10}\\\\ \to \bold{x_2 = 5}\\\\\to \bold{x_3 = 1}\\\\\to \bold{x_4 = 2}\\\\[/tex]

Put the value into the above-given equation:

[tex]\to \bold{17.6 + 3.8(10) - 2.3(5) + 7.6(1) + 2.7(2)} \\\\\to \bold{17.6 + 38 - 11.5 + 7.6 + 5.4} \\\\\to \bold{17.6 + 38 - 11.5 + 7.6 + 5.4} \\\\\to \bold{68.6-11.5}\\\\\to \bold{57.1}[/tex]

So, the final answer is "57.1".  

Learn more:

brainly.com/question/14127435

Other Questions
. f(x) = Square root of quantity x plus nine. ; g(x) = 8x - 13 Find f(g(x)). (1 point) f(g(x)) = 2 Square root of quantity two x minus one. f(g(x)) = 8 Square root of quantity x minus four. f(g(x)) = 2 Square root of quantity two x plus one. f(g(x)) = 8 Square root of quantity x plus nine - 13 Tommy stands on a diving bored that is 4 feet above the pools surface. He dives and touches the bottom of the pool, which is 12 feet below the pools surface. What is the total length of Tommys dive? Sixteen blocks are needed to build a four-step double staircase likethe one on the right. How many blocks will be needed to build adouble staircase of similar shape with 50 steps? Snacks: I need to make imperative or command form of verbs for the following questions, all of my answers are wrong :(Translate the following sentences to Spanish.5. Take out the trash.My answer: Saque la basura.6. Clean the house.My answer: Limpiar la casa. pls help me asap !!! how does the comission for the investigation of abuse of authority (CIAA) help to control corruption what do you mean by creativity? Given the parent graph h(x) = x, what happens when it is changed to h(x + 9)? I need help with this math question.x^3-8x^2 A network administrator updated an Internet server to evaluate some new features in the current release. A week after the update, the Internet server vendor warns that the latest release may have introduced a new vulnerability and a patch is not available for it yet. Which of the following should the administrator do to mitigate this risk?Options are :A. Enable the host-based firewall on the Internet serverB. Enable HIPS to protect the server until the patch is releasedC. Utilize WAF to restrict malicious activity to the Internet serverD. Downgrade the server and defer the new feature testing A stegosaurus eats ten twelfths of a plant and then eats two twelfths of the plant later. Estimate how much of the plant the dinosaur ate in all. Explain your thinking. HELP PLEASEi would really appreciate if someone answered this correctly! 5. There are 5,280 feet in a mile. What part of a mile, in decimal form, will you drive until you reach the exit? I NEED THIS QUICK PLZ HELP ILL GIVE YOU 30 Hidden MessageFind a short hidden message in the list of words below.carrot fiasco nephew spring rabbitsonata tailor bureau legacy coronatravel bikini object happen softenpicnic option waited effigy adverbreport accuse animal shriek esteemoysterHINT:First and last. A developer purchased two 135-front-foot lots for $22,900 net each and divided them into three lots of equal front footage. The developer sold the lots for $230 per front foot. Calculate the developer's percentage of profit (round to the nearest whole percentage point). Which statement BEST describes the centralidea of the passage?Objects in nature offer many importantlessons about kindness.People must be kind if they expect to receivekindness in return.Acts of kindness do not need to becomplicated or cost a lot of money.People who perform acts of kindness benefitthemselves and the world. find the value of x and y.. 31. Explain what the program does. Write out the output 20 PRINT "Hellooo00000000000, world!" 30 PRINT "I'm learning about commands in BASIC." 40 PRINT 'This text is being printed via the PRINT commarrd. 2 209 When 12% discount is given a calculator is sold for Rs 1760 find the marked price of the calculator. What is the product of 2/5 3/4?