A woman standing on a large rock at the edge of a lake is getting ready to swing from a rope that is tied to a branch that hangs over the water. The length of the rope the woman is holding is 7.3 m long. The woman hopes to land in the water at a point that is 13.7 m away from where she stands on the large rock. The angle between the point where the rope is tied and her landing spot in the water is 89°. What is the distance between the the point where the rope is tied and the point where she wants to land to the nearest tenth of a metre.

Answers

Answer 1

Answer:

6.4 m

Step-by-step explanation:

The image attached is a representation of the question. to the river hence the distance between the place where she landed and the rock where she was standing must be horizontal. We are now required to find the shortest vertical distance between the point where the rope was tied and the place where she wants to land.

Note that the woman used the rope to move down in

Applying the cosine rule;

[tex]c^{2} = a^{2} + b^{2} -2ab Cos C[/tex]

[tex]c^{2} = 13.7^{2} + 7.3^{2} - 2(13.7 *7.3) Cos 89o[/tex]

[tex]c^{2} = 6.4 m[/tex]

A Woman Standing On A Large Rock At The Edge Of A Lake Is Getting Ready To Swing From A Rope That Is

Related Questions

0 -x + y = 1
9x – 7y = 1

Answers

Answer:

X = 4 and Y = 5

Step-by-step explanation:

Find the slope of the line
(1,-5),(-4,0)

Answers

Slope formula =

Y^2-Y^1/X^2-X^1

0-(-5)/-4-1
5/-5
-1

Answer:

-1

Step-by-step explanation:

slope = ΔY  / ΔX  = 5/(-5)=-1

Marcia has a monthly income of $3,500. She budgets 8% for her cell phone. What amount does she budget for her cell phone, in dollars and cents?

Answers

Answer:

[tex]280 \: dollars[/tex]

Step-by-step explanation:

[tex]3500 \times .08 = 280[/tex]

Simple as that ^^^ Just find 8% of 3500

280,00$

8% of 3500$ equals to

(8/100)*3500=

280,00$=

4. Suppose the the function f(x) = 5x + 7
represents the cost to play x rounds of
golf at the local mini-golf attraction. If you
have $20, how much more money do
you need to play 3 rounds of golf?
A. $22
C. $2
B. $15
D. $5

Answers

Answer:

c

Step-by-step explanation:

c

Consider the equation and its solution. 8 (x minus 2) = 64. 8 x minus 16 = 64. 8 x = 80. X = 10. Which property is used in the last step to find that x = 10? Distributive property addition property of equality subtraction property of equality division property of equality

Answers

Answer:

Division property of equality

Step-by-step explanation:

Consider the equation and its solution. 8 (x minus 2) = 64.

8 x minus 16 = 64.

8 x = 80.

x = 10.

Which property is used in the last step to find that x = 10

The property used in the last step to find that x = 10 is called the DIVISION PROPERTY OF EQUALITY

The Division property of equality states that , when two sides of a quadratic equation are divide by the same integer that is greater than zero, both sides will be equal to one another

Let c be the integer greater than zero

ac = bc

Divide both sides by c

a = b

From the above question

8 x = 80

This is also written as:

8x = 8 × 10

Division property of equality

Divide both sides by 8

Hence,

x = 10

Answer:

division property of equality

Step-by-step explanation:

since the equation before our answer was a multiplication equation, you must counteract that with the division property of equality.

Polygons ABCD and A′B′C′D′ are shown on the coordinate grid: A coordinate plane is shown with two polygons represented. Polygon ABCD has vertices A at 2 comma 2, B at 2 comma 4, C at 3 comma 5 and D at 3 comma 1. Polygon A prime B prime C prime D prime has vertices A at negative 1 comma negative 2, B at negative 1 comma negative 4, C at negative 2 comma negative 5, and D at negative 2 comma negative 1. What set of transformations is performed on ABCD to form A′B′C′D′? (4 points) a A translation 1 unit to the left followed by a 180-degree counterclockwise rotation about the origin b A translation 1 unit to the right followed by a 180-degree counterclockwise rotation about the origin c A 90-degree counterclockwise rotation about the origin followed by a translation 1 unit to the right d A 90-degree counterclockwise rotation about the origin followed by a translation 1 unit to the left

Answers

Answer:

Answer is A. I get it right. :3

Answer:

a

Step-by-step explanation:

The area of a square garden is 9ft. How long is each side of the garden

Answers

The length of each side of the square garden is 3ft.

What is a square?

A square is a quadrilateral with four equal straight sides and four right angles.

To find the area of a square garden, multiply two equal sides.

The area is the space of a two-dimensional line.

To find the length of each side of a square garden, compute the squared root of the area.

Area of the square garden = 9 ft

Length of each side = √9

= 3 feet

Thus, each side of the garden has 3 ft.

Learn more about the area, length, and width at https://brainly.com/question/25292087

#SPJ1

Line AB is 14 inches long. What is the approximate area of the circle?






615.44 inches
21.98 inches
153.86 inches
43.96 inches

Answers

Answer:

The third one is closest

Step-by-step explanation:

half of the diameter=the radius 14/2 = 7 and the formula for the area of a circle is r^2π so 49 × π is 153.93804

Help!
A volcano on a discovered planet rises to a height of 19.529 mi.
Use the table of facts to find the height of the volcano in feet.
Round your answer to the nearest tenth.

Answers

Answer:

103, 110 ft

Step-by-step explanation:

12) Which name we can give to these triangle

Answers

Answer:

The first one is isosceles and the second one is scalene.

This is because the first triangle has two equal sides, therefore it is isosceles and the second one has no equal sides so it is scalene.

Answer:

obtuse triangle and scalene triangle (sana nakatulog sayo)

PLEASE PLEASE HELP 5 MINUTES HELPP HELPP WILL MARK BRAINLIEST!!!!!​

Answers

Answer:

Step-by-step explanation:

I & III look good

John is trying to solve for y, but he made a mistake. Where did John mess up? What did he do wrong? Step 1: 2 - 3(y- 1) = 6 Step 2: -1(y- 1) = 6 Step 3: -y+1= 6 Step 4: -y = 5 Step 5: y = -5 Step 2; he combined the 2 and -3 before he distributed O Step 3; he did not distribute the -1 correctly Step 2; he did not combine the 2 & -3 correctly. Step 4; he should have added the 1 to 6, not subtracted it Step 3; he should have added 1 to both sides.​

Answers

Answer:

Step 4!!!

Step-by-step explanation:

Based on a graph below which sequence of transformation is needed to carry ABCD onto its image A’B’C’D?

Answers

Given:

The vertices of ABCD are A(2,3), B(5,6), C(8,6) and D(8,3).

The vertices of A'B'C'D' are A'(-2,6), B'(-5,3), C'(-8,3) and D'(-8,6).

To find:

The sequence of transformation is needed to carry ABCD onto its image A’B’C’D.

Solution:

The vertices of ABCD are A(2,3), B(5,6), C(8,6) and D(8,3).

If figure ABCD translated by the rule, [tex](x,y)\to (x,y-9)[/tex], then

[tex]A(2,3)\to A_1(2,-6)[/tex]

[tex]B(5,6)\to B_1(5,-3)[/tex]

[tex]C(8,6)\to C_1(8,-3)[/tex]

[tex]D(8,3)\to D_1(8,-6)[/tex]

Then the figure rotated 180 degrees clockwise about the origin. So,

[tex](x,y)\to (-x,-y)[/tex]

[tex]A_1(2,-6)\to A'(-2,6)[/tex]

[tex]B_1(5,-3)\to B'(-5,3)[/tex]

[tex]C_1(8,-3)\to C'(-8,3)[/tex]

[tex]D_1(8,-6)\to D'(-8,6)[/tex]

So, the required sequence of transformation that is needed to carry ABCD onto its image A’B’C’D is " A translation by the rule [tex](x,y)\to (x,y-9)[/tex] and then a 180° clockwise rotation about the origin".

Therefore, the correct option is D.

Two integers have a difference of 18 and a sum of 2. What is the product of the two integers?

Answers

Answer:

the product of the two integers is -80

Answer:

-80

Explanation:

it was on a mathcounts competition

Barnes and noble needs to ship 14 mystery books, 12 science-fiction books, and 8 historical-fiction books. The store can only pack one genre of book in each box, and they must pack the same number of books in each box. What is the greatest number of books Barnes and Noble can pack in each box?

Answers

Answer: 2

Step-by-step explanation:

Given:  14 mystery books, 12 science-fiction books, and 8 historical-fiction books needs to b shipped.

If they want to pack one genre of book in each box such that they pack same number of books in each box.

Then, the greatest number of books Barnes and Noble can pack in each box

= GCD(14,12,8)

Since, 14 = 2 x 7

12 = 2 x 2 x 3

8 = 2 x 2 x 2

GCD(14,12,8)=2

Hence, the greatest number of books Barnes and Noble can pack in each box = 2

PLEASE HELP MEEEEEEEEEEEEEEEEEEEEEEEEe

Answers

Answer:

-140 = x

Step-by-step explanation:

Answer:

-140 =x

Step-by-step explanation:

Which expression is equivalent to 5 (h + 9)?

Answers

Answer:

5(m+9) = 5m+25

Answer:

5(m+9) = 5m+25

Step-by-step explanation:

durrrrrrrrrrrrrrr

What does this mean exactly?​

Answers

Answer: Choice B  [tex]y \le 0[/tex]

========================================================

Explanation:

They want to know what are all the possible y values here. The range is the set of all possible outputs of a function.

The largest y value is y = 0 which occurs at the vertex, in this case the highest point. There is no smallest y value as those arrows point downward forever.

So y is between negative infinity and 0, which means we write [tex]-\infty < y \le 0[/tex]

Converting that to interval notation leads to [tex](-\infty, 0][/tex]. Note the square bracket to include the endpoint.

The compound inequality [tex]-\infty < y \le 0[/tex] simplifies to [tex]y \le 0[/tex]

One way to describe this particular relation's range is to say "The set of negative real numbers with 0 included".

Side note: The domain is the set of all possible x inputs. In this case, the domain is the set of all real numbers.

Y=9x+2x please help, i don't know how to
do this stuff

Answers

Answer: I hope you understand, just mutiply whatever x is by 11 to get Y

Step-by-step explanation:

x = unknown number

9x+2x= 11x

Y=11x

help pls ?? anyone ?? :(

Answers

7.  yes

8. yes

9. no

10. no

b because it just is i took this

Help me with this it is hard

Answers

Answer:

the third choice is the correct one because  if you 3 ÷ 8 = 0.375. 0.375 × 100 = 37.5%

someone help with this ASAP I HAVE FEW MINS !!!

Answers

Answer:

Symmetric

Step-by-step explanation:

Which student rounded properly?

Answers

Answer:

c is the answer

Step-by-step explanation:

The sum of triple a number d and 5
(it’s translating expressions)

Answers

Answer:

3d+5

Step-by-step explanation:

Linda makes necklaces to sell to her friends. She can make
27 necklaces in 3 hours. How many necklaces can she
make in 5 hours?

Answers

Answer:

mark brainlest45

Step-by-step explanation:

in one hour she can make 9 ( 27 divided by 3)

so in 5 hours 45 bc 5x9 is 45

What is the slope of the line?
I NEED HELPP?!

Answers

Answer:

Slope of a line = rise/run

Your answer:

m = 8/5

what is the average rate of change
y - 3 = -12 (x + 4)​​

Answers

Answer:

[tex] - 12x[/tex]

Step-by-step explanation:

[tex]y - 3 = - 12(x + 4) \\ y - 3 = - 12x - 48 \\ y = - 12x - 45[/tex]

Thr answer is the slope.

Answer:

[tex]-\frac{3}{10}[/tex]

Step-by-step explanation:

The average rate of change of a function f ( x )  over the interval  [ a , b ]  is

[tex]=\frac{f(b)-f(a)}{b-a}[/tex]

[tex]f(x)=\frac{3}{x-2}[/tex]

and [tex][a,b]=[4,7][/tex]

[tex]f(b)=f(7)=\frac{3}{7-2}=\frac{3}{5}[/tex]

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

The rate of change is

[tex]=\frac{f(b)-f(a)}{b-a}[/tex]

[tex]=\frac{\frac{3}{3} -\frac{3}{2} }{7-4}[/tex]

[tex]=-\frac{9}{10} *\frac{1}{3} =-\frac{3}{10}[/tex]

Which of the following is an example of the atmosphere interacting with the biosphere?

Answers

I’d say option 4

However, one may think option 3 might be possible as well. But that it is not interacting, it’s affecting.

So I’d stick with option 4.

Good luck!

Eric walks 7 km East in 2 hours and then 2.5 km West in 1 hour.

___ km/hr is the average speed and ___ km/hr is the average velocity for the whole journey that Eric takes.

Answers

Answer:

Average speed = 3.17 km/h and Average velocity = 1.5 km/h

Step-by-step explanation:

It is given that,

Eric walks 7 km East in 2 hours and then 2.5 km West in 1 hour.

Average speed = distance/time

Distance = 7km + 2.5 km = 9.5 km

Time = 2 h + 1 h = 3 h

Average speed,

[tex]s=\dfrac{9.5\ km}{3\ h}\\\\s=3.17\ km/h[/tex]

Average velocity = displacement/time

Displacement = 7 km +(-2.5 km) = 4.5 km

Average velocity,

[tex]v=\dfrac{4.5\ km}{3\ h}\\\\v=1.5\ km/h[/tex]

So, 3.17 km/h is the average speed and 1.5 km/h is the average velocity for the whole journey that Eric takes.

Mrs adeolu spent 1/4 of her monthly income at a shopping mall 1/3 at a open market and 2/5 of the remaining amount at a mechanic workshop. if she had 225,000 naira left .
find her monthly income
find the amount spent at the open market

Answers

Answer: it's c

Step-by-step explanation:

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