1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Nana76 [90]
3 years ago
12

A damsel is in distress and is being

Mathematics
2 answers:
Katen [24]3 years ago
6 0

Answer:

30 feet

Step-by-step explanation:

Let x be the length of the ladder. Then, x cos(60) = 15

If we divide both sides by cos(60), then x = 30 feet.

tatyana61 [14]3 years ago
3 0
30 feet. I hope this helps!
You might be interested in
Help fill in the answers and are my answers rigt
Anna35 [415]

The third one tells us the price is $12 per liter, that is to say, the top number is twelve times the bottom number.

.25 × 12 = $3

.7 × 12 = $8.40

2.5 × 12 = $30

3.52 × 12 = $42.24

$57.60 / 12 = 4.80 liters

3 0
3 years ago
Read 2 more answers
) find a vector parallel to the line of intersection of the planes 5x − y − 6z = 0 and x + y + z = 1.
snow_tiger [21]
The cross product of the normal vectors of two planes result in a vector parallel to the line of intersection of the two planes.

Corresponding normal vectors of the planes are
<5,-1,-6> and <1,1,1>

We calculate the cross product as a determinant of (i,j,k) and the normal products

    i   j   k
   5 -1 -6
   1  1  1

=(-1*1-(-6)*1)i -(5*1-(-6)1)j+(5*1-(-1*1))k
=5i-11j+6k
=<5,-11,6>

Check orthogonality with normal vectors using scalar products
(should equal zero if orthogonal)
<5,-11,6>.<5,-1,-6>=25+11-36=0
<5,-11,6>.<1,1,1>=5-11+6=0

Therefore <5,-11,6> is a vector parallel to the line of intersection of the two given planes.
5 0
3 years ago
What is the easiest way to learn division and multipaction
Oksana_A [137]

The easier way is online games.

6 0
3 years ago
Read 2 more answers
Find the area of the following<br> kite:<br> A = [?] m²<br> 40 m<br> 16 m<br> 16 m<br> 6 m
Rama09 [41]

Answer:

Area_{kite}=736m^2

Step-by-step explanation:

There are a few methods to find the area of this figure:

1. kite area formula

2. 2 triangles (one top, one bottom)

3. 2 triangles (one left, one right)

4. 4 separate right triangles.

<h3><u>Option 1:  The kite area formula</u></h3>

Recall the formula for area of a kite:  Area_{kite}=\frac{1}{2} d_{1}d_{2} where d1 and d2 are the lengths of the diagonals of the kite ("diagonals" are segments that connect non-adjacent vertices -- in a quadrilateral, vertices that are across from each other).

If you've forgotten why that is the formula for the area of a kite, observe the attached diagram: note that the kite (shaded in) is half of the area of the rectangle that surrounds the kite (visualize the 4 smaller rectangles, and observe that the shaded portion is half of each, and thus the area of the kite is half the area of the large rectangle).

The area of a rectangle is Area_{rectangle}=bh, sometimes written as Area_{rectangle}=bh, where w is the width, and h is the height of the rectangle.

In the diagram, notice that the width and height are each just the diagonals of the kite.  So, the <u>Area of the kite</u> is <u>half of the area of that surrounding rectangle</u> ... the rectangle with sides the lengths of the kite's diagonals.Hence, Area_{kite}=\frac{1}{2} d_{1}d_{2}

For our situation, each of the diagonals is already broken up into two parts from the intersection of the diagonals.  To find the full length of the diagonal, add each part together:

For the horizontal diagonal (which I'll call d1): d_{1}=40m+6m=46m

For the vertical diagonal (which I'll call d2): d_{2}=16m+16m=32m

Substituting back into the formula for the area of a kite:

Area_{kite}=\frac{1}{2} d_{1}d_{2}\\Area_{kite}=\frac{1}{2} (46m)(32m)\\Area_{kite}=736m^2

<h3><u /></h3><h3><u>Option 2:  The sum of the parts (version 1)</u></h3>

If one doesn't remember the formula for the area of a kite, and can't remember how to build it, the given shape could be visualized as 2 separate triangles, the given shape could be visualized as 2 separate triangles (one on top; one on bottom).

Visualizing it in this way produces two congruent triangles.  Since the upper and lower triangles are congruent, they have the same area, and thus the area of the kite is double the area of the upper triangle.

Recall the formula for area of a triangle:  Area_{triangle}=\frac{1}{2} bh where b is the base of a triangle, and h is the height of the triangle <em>(length of a perpendicular line segment between a point on the line containing the base, and the non-colinear vertex)</em>.  Since all kites have diagonals that are perpendicular to each other (as already indicated in the diagram), the height is already given (16m).

The base of the upper triangle, is the sum of the two segments that compose it:  b=40m+6m=46m

<u>Finding the Area of the upper triangle</u>Area_{\text{upper }triangle}=\frac{1}{2} (46m)(16m) = 368m^2

<u>Finding the Area of the kite</u>

Area_{kite}=2*(368m^2)

Area_{kite}=736m^2

<h3><u>Option 3:  The sum of the parts (version 2)</u></h3>

The given shape could be visualized as 2 separate triangles (one on the left; one on the right).  Each triangle has its own area, and the sum of both triangle areas is the area of the kite.

<em>Note:  In this visualization, the two triangles are not congruent, so it is not possible to  double one of their areas to find the area of the kite.</em>

The base of the left triangle is the vertical line segment the is the vertical diagonal of the kite.  We'll need to add together the two segments that compose it:  b=16m+16m=32m.  This is also the base of the triangle on the right.

<u>Finding the Area of left and right triangles</u>

Area_{\text{left }triangle}=\frac{1}{2} (32m)(40m) = 640m^2

The base of the right triangle is the same length as the left triangle: Area_{\text{right }triangle}=\frac{1}{2} (32m)(6m) = 96m^2

<u>Finding the Area of the kite</u>

Area_{kite}=(640m^2)+(96m^2)

Area_{kite}=736m^2

<h3><u>Option 4:  The sum of the parts (version 3)</u></h3>

If you don't happen to see those composite triangles from option 2 or 3 when you're working this out on a particular problem, the given shape could be visualized as 4 separate right triangles, and we're still given enough information in this problem to solve it this way.

<u>Calculating the area of the 4 right triangles</u>

Area_{\text{upper left }triangle}=\frac{1}{2} (40m)(16m) = 320m^2

Area_{\text{upper right }triangle}=\frac{1}{2} (6m)(16m) = 48m^2

Area_{\text{lower left }triangle}=\frac{1}{2} (40m)(16m) = 320m^2

Area_{\text{lower right }triangle}=\frac{1}{2} (6m)(16m) = 48m^2

<u>Calculating the area of the kite</u>

Area_{kite}=(320m^2)+(48m^2)+(320m^2)+(48m^2)

Area_{kite}=736m^2

8 0
2 years ago
A boundary stripe 6 in. wide is painted around a rectangle whose dimensions are 120 ft by 230 ft. Use differentials to approxima
Nimfa-mama [501]

Answer:

350 square feet

Step-by-step explanation:

We are given that

Width of strip=6 in

Dimension of rectangle=20 ft\times 230 ft

We know that

Area  of rectangle ,A=xy

Differentiate

dA=\frac{\partial A}{\partial x}x+\frac{\partial A}{\partial y}y

We have \frac{\partial A}{\partial x}=y=230 ft

\frac{\partial A}{\partial y}=x=120

dx=\frac{12}{12}=1 ft

1 ft=12 in

Because 6 in added in both side of breadth

dy=\frac{12}{12}=1 ft

Because 6 in added on both sides of length of rectangle

Substitute the values

dA=230\times 1+120\times 1=350 ft^2

Hence, the number of square feet of paint in the strip=350 square feet

7 0
3 years ago
Other questions:
  • What property’s allow 5=b to be written as b=5
    8·1 answer
  • If 5x +1/2_&lt; 25 what is x?
    10·1 answer
  • What is (1/3) with a small 2
    8·2 answers
  • Write an equation in standard form that has a slip of 6 and passes through (-1,3)
    8·1 answer
  • How much money is in Joe's savings account after 3 years if he deposited $400 at the beginning of the year and the account pays
    8·2 answers
  • Kelly has 4 times as many songs on her music player as Lou
    7·1 answer
  • Which graph will represent the height of a Ferris wheel car starting at the bottom as the Ferris wheel goes around and time prog
    6·2 answers
  • What is the argument of -5\sqrt{3}+ 5i?
    15·1 answer
  • Simplify: 3(4x-5) - (3x+2)
    11·1 answer
  • I’m so confused on what numbers l should put into the boxes
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!