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3 years ago

A 200 foot string attached to a kite makes a 65* angle with the ground. What is the height of the kite to the nearest tenth

Mathematics

1 answer:

slavikrds [6]3 years ago

6 0

Answer:181.3ft

Step-by-step explanation:

sin (65) = opp/200

200 sin (65) = opp

ans: 181.3ft

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At a dog shelter, a 26-pound bag of dog food will feed 40 dogs. How many dogs would you expect to feed with a 13-pound bag of do

Inessa [10]

The 13 pound bag is 1/2 of the 26 pound bag so if 40 dogs eat that then 20 dogs will eat 13 pounds.
Your answer should be 20 dogs

4 0

3 years ago

You have 42 ft. of fencing (1 ft. segments) to make a rectangular garden. How much should each side be to maximize your total ar

Verizon [17]

Answer:

$Length=10.5\ ft$

$Width=10.5\ ft$

$Area=110.25\ ft^{2}$

Step-by-step explanation:

Let

x----> the length of the rectangular garden

y---> the width of the rectangular garden

we know that

The perimeter of the rectangle is equal to

$P=2(x+y)$

we have

$P=42\ ft$

$42=2(x+y)$

simplify

$21=(x+y)$

$y=21-x$ ------> equation A

Remember that the area of rectangle is equal to

$A=xy$ ----> equation B

substitute equation A in equation B

$A=x(21-x)$

$A=21x-x^{2}$ ----> this is a vertical parabola open downward

The vertex is a maximum

The y-coordinate of the vertex is the maximum area

The x-coordinate of the vertex is the length side of the rectangle that maximize the area

using a graphing tool

The vertex is the point $(10.5,110.25)$

see the attached figure

$x=10.5\ ft$

Find the value of y

$y=21-10.5=10.5\ ft$

The garden is a square

the area is equal to

$A=(10.5)(10.5)=110.25\ ft^{2}$ ----> is equal to the y-coordinate of the vertex is correct

6 0

3 years ago

what is the equation in point-slope form of the line passing through (0, 5) and (−2, 11)? (1 point) y − 5

makkiz [27]

According to the question, the line is through the points $(0,5)$ and $(-2,11)$

To calculate the slope using standard formula that is :

$m = \frac{(y(2)-y(1))}{(x(2)-x(1))} = \frac{(11-5)}{(-2-0)} =\frac{6}{-2} = -3$

Now the slope equation will be: $m(x(2)-x(1)) = (y(2)-y(1))$

$y-5 =(-3)(x-0) = y = -3(x)+5$

The slope-intercept form is: $y = -3x+5$

What is the equation of the line?

To represent the set of points in an algebraic form is known as the equation of line. The set of points represent lines in the coordinate system. The parameters can be calculated and those parameters are slope and y-intercept.

To learn more about the equation of the line from the given link:

<u>brainly.com/question/14037984</u>

#SPJ4

5 0

1 year ago

Ken, the camp cook, makes 3 meals for every camper. The

dalvyx [7]

Answer: number of meals on the left side then number of campers on the bottom

Step-by-step explanation:

A p e x and it says 3 meals for every camper it never said how long so it’s not going to be so the graphs with day in it next you can’t put campers on the side cause if you don’t have enough meals for everyone you ant goin keep the campers happy so that’s how I got my answer sorry if that was confusing brainless please

3 0

3 years ago

Read 2 more answers

If area of cross section of a prism is A cm² and height h cm then find the volume

AfilCa [17]

Answer:

Volume= area of cross section*height

so, volume of prism = A*h

3 0

2 years ago