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.

5.3057(600)578)542)(200)

Answer:

27 tomatoes

Step-by-step explanation:

Answer:

27kg

Step-by-step explanation:

352 divided by 44 equals 8.  216 divided by 8 equals 27.  So 27 times 8 equals 216. Therefore 216 dollars will get you 27 kg of tomatoes.

Answer:

C

Step-by-step explanation:

2-(p*6)

minus=the difference of

(p*6)=p times 6

Fully written out: The difference of two and p times six

Answer:2.35x+6.00=y

x=number of gallons of gas

Step-by-step explanation:

Answer:

slope is -1, y intercept is 5

Step-by-step explanation:

slope formula is y1-y2 over x1-x2

plug in formula

u get the slope is -1

Answers:

Slope = 4

Y intercept = 5

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

Explanation:

Start at the point (-1,1) which is one point on the line. Then move up 4 units and to the right 1 unit to get to (0,5). This is another point on the line.

Therefore the slope = rise/run = 4/1 = 4.

You could also use the slope formula m = (y2-y1)/(x2-x1)

---------------

The y intercept is 5 since the line crosses the y axis at this location. More specifically this is the point (0,5). For any y intercept, x = 0.

The equation of this line in slope intercept form is y = 4x+5. Compare it to y = mx+b and we have m = 4 as the slope and b = 5 as the y intercept.

Answer:

The integers that satisfy both inequalities are any number between -4.5 and -12

Step-by-step explanation:

Hope this helps and pls do mark me brainliest if you can:)

Answer:

8.9 x 10^-5 = 0.000089

4.41 x 10^-2 = 0.0441

0.000009 = 9 x 10^-6

Answer:

The person with the larger value means they are moving at a higher acceleration

Step-by-step explanation:

Renee: 10 miles / 105 minutes = 0.095 mi/min

Amy: 8 miles / 90 minutes = 0.088 mi / min

Answer:

x = 1 , y = 1 , z = 0

Step-by-step explanation:

Solve the following system:

{-2 x + 2 y + 3 z = 0 | (equation 1)

-2 x - y + z = -3 | (equation 2)

2 x + 3 y + 3 z = 5 | (equation 3)

Subtract equation 1 from equation 2:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

0 x - 3 y - 2 z = -3 | (equation 2)

2 x + 3 y + 3 z = 5 | (equation 3)

Multiply equation 2 by -1:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

0 x+3 y + 2 z = 3 | (equation 2)

2 x + 3 y + 3 z = 5 | (equation 3)

Add equation 1 to equation 3:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

0 x+3 y + 2 z = 3 | (equation 2)

0 x+5 y + 6 z = 5 | (equation 3)

Swap equation 2 with equation 3:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

0 x+5 y + 6 z = 5 | (equation 2)

0 x+3 y + 2 z = 3 | (equation 3)

Subtract 3/5 × (equation 2) from equation 3:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

0 x+5 y + 6 z = 5 | (equation 2)

0 x+0 y - (8 z)/5 = 0 | (equation 3)

Multiply equation 3 by 5/8:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

0 x+5 y + 6 z = 5 | (equation 2)

0 x+0 y - z = 0 | (equation 3)

Multiply equation 3 by -1:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

0 x+5 y + 6 z = 5 | (equation 2)

0 x+0 y+z = 0 | (equation 3)

Subtract 6 × (equation 3) from equation 2:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

0 x+5 y+0 z = 5 | (equation 2)

0 x+0 y+z = 0 | (equation 3)

Divide equation 2 by 5:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

0 x+y+0 z = 1 | (equation 2)

0 x+0 y+z = 0 | (equation 3)

Subtract 2 × (equation 2) from equation 1:

{-(2 x) + 0 y+3 z = -2 | (equation 1)

0 x+y+0 z = 1 | (equation 2)

0 x+0 y+z = 0 | (equation 3)

Subtract 3 × (equation 3) from equation 1:

{-(2 x)+0 y+0 z = -2 | (equation 1)

0 x+y+0 z = 1 | (equation 2)

0 x+0 y+z = 0 | (equation 3)

Divide equation 1 by -2:

{x+0 y+0 z = 1 | (equation 1)

0 x+y+0 z = 1 | (equation 2)

0 x+0 y+z = 0 | (equation 3)

Collect results:

Answer: {x = 1 , y = 1 , z = 0

Answer:

x= 1, y = 1, z=  0

Step-by-step explanation

-2x + 2y + 3z = 0

2x + 3y + 3z = 5

-2x - y + z = -3

2x + 3y + 3z = 5

(solving systems)

5y + 6z = 5

2y + 4z = 2

(rewriting)

z = 0

y = 1

-2x + 2 x 1 + 3 x 0

x=1

Answer: vertical stretch by 3

Step-by-step explanation:

when g(x) = a*f(x), the graph of g(x) is vertically stretched by a

Answer: i have this work book and i guess it would be the clerk didnt put the amonut up enough

Step-by-step explanation:

Answer:

x = 53°

Step-by-step explanation:

alternate exterior angles are equal

Answer:

Step-by-step explanation:

Two lines are parallel.

x = 53  

Alternate exterior angles are equal

Answer:

x= c/a+b

Step-by-step explanation:

Answer:

C.12

Step-by-step explanation:

Answer: C. The answer is 12. Hope this helps.

Answer:

4/6

Step-by-step explanation:

1/2 needs to be converted to sixths, so we would multiple the numerator and the denominator by 3, because 2 goes into 6, 3 times, then we would get 3/6 + 1/6, then just add, 1 + 3 = 4, and then you end up with 4/6. Have A Great Day!

Answer:

He used 286.73² in. of wrapping paper.

Answer:

I got 286.73

Step-by-step explanation:

I found the area of all the shapes in the thing and added them.

Pls correct me if I did the adding wrong cuz its 55+20+20+88+103.73

Answer:

Step-by-step explanation:

When Arjun makes hot cocoa, if he add 20mL of chocolate syrup to 3ounces of water, let us know the equivalent chocolate in one ounces of water.

20mL = 3 ounces

x = 1 ounce

cross multiply

3x = 20

x = 20/3

x = 6.67 mL

This means he must have add 6.67mL of chocolate to 1 ounce of water.

Similarly, if 45mL is added to every 6 ounces

45mL = 6ounces

x = 1 ounce

cross multiply

6x = 45

x = 45/6

x =  7.5mL

This means he must have add 7.5mL of chocolate to 1 ounce of water.

The hot cocoa that is more chocolatey is the one with the highest amount of chocolate in 1 ounce. That is 45mL hot cocoa

Answer:

eli's cocoa is more chocolately. i would show proof (on khan academy), but I just skipped the q. :|

Step-by-step explanation:

Answer:

nothing at all.

Step-by-step explanation:

Answer:

a. 0.04

b. 6.33

Step-by-step explanation:

a. If we want to convert into decimal we need to divide it by 100 then answer will 0.04

4/100 = 0.04

b. If we want to convert into decimal we need to divide it by 100 then answer will 6.33

633/100 = 6.33

Answer:

y=x-3

Step-by-step explanation:

thats the answer

Answer:

x = 29 ,  b = -3

Step-by-step explanation:

5 = b + 8

5 - 8 = b

-3 = b

b = -3

2x + 3b = 156

156 / 3 = 52

52 / 2 = 26

x + b = 26

26 + 3 = 29

x = 29

Answer:

B. 5 units

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, dilation, rotation or translation.

If a point X(x,y) is rotated about the origin 180 degrees clockwise the new point is at X'(-x, -y).

If the square with vertices at A(0, 0), B(0, 5), C(5, 5) and D(5, 0) is rotated about the origin 180 degrees clockwise the new points are at A'(0, 0), B'(0, -5), C'(-5, -5), D'(-5, 0)

A square has four equal sides. The distance between two points [tex]X(x_1,y_1)\ and\ Y(x_2,y_2)[/tex] is:

[tex]|XY|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Hence:

[tex]|A'B'|=\sqrt{(0-0)^2+(-5-0)^2} =5[/tex]

Answer:

y = 2sin2 x + pie/ 2

Step-by-step explanation:

Answer: y= 2sin2(x +pi/2 )

Answer:

A. Absolute Value

Step-by-step explanation:

The reason is because of the way the line is directed

Answer:

Absolute Value

Step-by-step explanation:

This is the graph of the function

[tex]f(x)=|x|[/tex]

Answer:

Try y=x²+4

Step-by-step explanation:

y=-x+4

when its perpendicular you change the -x to x. When you have a perpendicular equation flip the sign and if fraction flip the fraction as well but there isn't a fraction here so you just change the -x to a +x and then work out the problem like this

y-3=x(x- -1)

y-3=x²+1

 +3     +3

__________

y=x²+4

[tex]\large\underline{\underline{\red{\rm\blue{\longmapsto} Step-by-step\: Explanation:-}}}[/tex]

Given to points to us are :-

( As these are plotted on graph with yellow dots .)

Now , we can use Distance Formula , which is :-

[tex]\boxed{\pink{\tt Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}}[/tex]

Here ,

→ Substituting the respective values ,

⇒ Distance = √ [ { 3 - (-1)}² + { -6 -(-8)²} ] .

⇒ Distance = √ (3+1)² + (8-6)²

⇒ Distance = √ 4² + 2²

⇒ Distance = √ 16 + 4

⇒ Distance = √20 = √4 × √5

⇒ Distance = 4√5units .

Hence the distance between two points is 4√5u.

Answer:

$70 for 5 DVDs  one dvd costs $14

Step-by-step explanation:

Answer:

5 cd's is 70 dollars

Step-by-step explanation:

28 divided by 2 = 14

Therefore 1 cd = 14 dollars

14 x 5 = 70$=5 CD's

Answer:

Step-by-step explanation:

given data

cost of pizza $7.5

cost of delivery=$14

let the the number of pizza be p

let the total cost of x pizza be y

the expression for the total cost of x pizza is

y=7.5+14p

given that y=$60

60=7.5+14p

solving for x we have

14p=60-7.5

14p=52.5

p=52.5/14

p=3.75

therefore the total slices is

3.75*8= 30slices

Answer:

speed of boat is 35 mph

speed of river is 5mph.

Step-by-step explanation:

Let the speed of boat be u mph

let the speed of river be v mph

When boat travel downstream

in that case flow  of river will support the speed of boat hence

speed of river will be added to speed of boat

Thus,

speed of boat in downstream = speed of boat + speed of river = u + v

Given

the boat travels at 40 mph downstream

thus,

u + v = 40           -----1

When boat travel upstream

in that case flow  of river will oppose the speed of boat hence

speed of river will be subtracted from  speed of boat

Thus,

speed of boat in downstream = speed of boat -speed of river = u - v

Given

the boat travels at 30 mph upstream

thus,

u - v = 30  ----2

adding 1 + 2

we have

u + v = 40  

+ u - v = 30

2u = 70

u = 70/2 = 35

Thus,

speed of boat is 35 mph

using u = 35 in u + v = 40  

we have

35 + v = 40

v = 40 - 35 = 5

Thus, speed of river is 5mph.