9514 1404 393
Answer:
437.3 ft
Step-by-step explanation:
The angle of depression can be copied inside the triangle to the angle of elevation (at lower right). Then the side x can be seen to be adjacent to the angle.
The mnemonic SOH CAH TOA reminds you of the relations. Here, we have the hypotenuse and we want the adjacent angle. The relevant relation is ...
Cos = Adjacent/Hypotenuse
cos(29°) = x/(500 ft)
Multiplying by 500 ft gives ...
x = (500 ft)cos(29°)
x ≈ 437.3 ft
_____
Additional comment
You have posted a number of problems that make use of this geometry. They are all solved the same way:
a) identify the desired measure and the given measures
b) using SOH CAH TOA, identify the relation applicable to those measures
c) fill in the given values in the equation
d) solve for the unknown
You may need to make use of what you know about angles and triangles in order to relate given angles to ones you need to use.
pls help my brainly buddies
Answer:
≈ 41.2°Step-by-step explanation:
Given ΔABD with:
AC⊥BDBC = 6 cmBD = 22 cmArea(ABC) = 42 cm²Find ∠D = xConsider ΔABC
Area = 1/2BC*AC42 = 1/2*6*ACAC = 42/3 = 14Consider ΔACD
CD = BD - BC = 22 - 6 = 16 cmAC = 14 cmtan x = AC/CDtan x = 14/16 = 0.875x = arctan 0.875x ≈ 41.2°Answer:
≈ 41.2°
Step-by-step explanation:
what is 9+2 I WILL MARK BRAINIEST
Answer:
11 ! have a great dayy:) !
In a landscape plan, a rectangular flower bed is designed to be 4 meters longer than it is wide. If 60 square meters are needed for the plants in the bed, what should the dimensions of the rectangular bed be?
Write the equation and your solution.
Answer:
i dk and stop callin me slime
Step-by-step explanation:
Dimension of rectangular bed is
length = 10 meters and width = 6 meters
Equation is [tex]w^2+4w-60=0[/tex]
Given :
a rectangular flower bed is designed to be 4 meters longer than it is wide
60 square meters are needed for the plants in the bed.
Let 'w' be the width of the flower bed
and 'L' be the length of the flower bed
Length is 4 meters longer than its width
Length L= w+4
We know that the area of rectangle = length times width
[tex]Area = L \cdot W\\A=(w+4)(w)\\A=w^2+4w[/tex]
Given that the area is 60 square meters
Replace A by 60 and solve for 'w'
[tex]60=w^2+4w\\w^2+4w-60=0\\(w+10)(w-6)=0\\w+10=0, w=-10\\w-6=0, w=6[/tex]
Width cannot be negative, so width = 6 meters
length = width +4 = 6+4=10 meters
Dimension of rectangular bed is
length = 10 meters and width = 6 meters
Learn more: brainly.com/question/19579804
Luis can swim 1 ½ meters per second. How many meters can he swim in a minute? Show your work and state the answer.
What is the answer please help if good at math
Answer:
A
Step-by-step explanation:
A dilation maps AB onto A'B'. If the coordinates of the
endpoints are
A(4,2),
A'(10,5),
B(10,6),
B'(25, 15), then
what is the scale factor?
Answer:
[tex]k = 2.5[/tex]
Step-by-step explanation:
Given
[tex]A = (4,2)[/tex]
[tex]A' = (10,5)[/tex]
[tex]B = (10,6)[/tex]
[tex]B' = (25,15)[/tex]
Required
Determine the scale factor (k)
Scale factor is calculated using:
[tex]Old * k = New[/tex]
In this case, we have:
[tex]AB* k = A'B'[/tex]
Make k the subject
[tex]k = \frac{A'B'}{AB}[/tex]
Using point A and A'
[tex]k = \frac{A'}{A}[/tex]
[tex]k = \frac{(10,5)}{(4,2)}[/tex]
Factorize the numerator
[tex]k = \frac{2.5(4,2)}{(4,2)}[/tex]
[tex]k = 2.5*\frac{(4,2)}{(4,2)}[/tex]
[tex]k = 2.5*1[/tex]
[tex]k = 2.5[/tex]
can someone please help ? (:
Answer:sure what do you need
Step-by-step explanation:
n
Need help rn by 10:42am est
Answer:
1. 5/6 - 6/5 2. 1/8 - 8 3. 6 2/3 - 20/3 - 3/20
Step-by-step explanation:
In mathematics, the reciprocal, also known as multiplicative inverse, is the inverse of a number x. denoted as 1/x or x-1. This means that the product of a number x and its reciprocal yields 1
Hope this helps!!!
PLEASE ANSWER ASASP FOR BRAINLEST!!!!!!!!!!!!!!
Which of the following statements is true?
A.
A rhombus has no sides the same length.
B.
A square has two right angles.
C.
A trapezoid has two pairs of parallel sides.
D.
A rectangle has four right angles.
15 points for this question
Answer:
Step-by-step explanation:
3/3y=y/2y
3y=6
y=2
Minxia counted 40 green cars and 20 silver cars in the parking lot. If the number of green cars stays the same, how many more silver cars would need to be added so the ratio of green cars to silver cars is 1 to 3?
Answer:
100 more silver.
Step-by-step explanation:
What is the slope of the line that passes through the points (-6, -7) and
(-24. - 7)? Write your answer in simplest form.
Answer:
-18/0 or 0
Step-by-step explanation:
help me please. Can somebody help.
Answer:
2.25Step-by-step explanation:
In order to find area, you just multiply height by width. A circle is even on all sides, so you do 1.5 times 1.5.
Please help me with this. I give brainliest and give ratings. Don't answer just to take my points or your getting reported.
given triangle abc find the values of x and y in your final answer include all of your calculations
Answer:
your final answer include all of your calculations
Step-by-step explanation:
given triangle abc find the values of x and y in your final answer include all of your calculations
3. Thomas argues that a quadrilateral with one pair sides congruent and the other pair
of sides parallel is always a parallelogram. What is wrong with Thomas' argument?
Step-by-step explanation:
one pair of side equal and other could be a trapezium as well...
he should have told that the two pair of sides are equal and parallel...
Each but is 21/100 meters long. Write the fraction as a decimal then calculate how long all eight books are all together
Answer:
1.68 Meters
Step-by-step explanation:
Hello I think I can help with this.
Well basically the way it is represented as a fraction is a portion of a whole like a percent :
For example : 21%
So basically we just need to turn this into a decimal and then add to find how long the books would be together.
How I would go about doing this is first looking at the 21/100 and remember that in decimals 1.00 is a whole just like the 100. So in this case the 100 in 21/100 would be 1.00.
So knowing this, we can take the 21 in 21/100 and say that 0.21/1.00 is equal to 21/100 because the 21 is representing how much of a meter the books are while 100 is the whole meter.
Now, we know we have eight books and each are .21 long. So we can do :
.21 x 8
=
1.68
While this is the answer we can write it in two ways. Either in fraction form like it started or in decimal form which I think is how they want you to write the answer.
For fraction :
168/100 Meters
We can simplify this :
1 68/100 Meters
EDIT :
We can simplify this even more :
Lets divide both sides by 2 :
34/50
AND we can do it again :
So divide by 2 on both sides :
17/25
And don't forget to add the 1 back into it :
1 17/25
And for the decimal form it is just what we found already :
1.68 Meters
I hope this helps!
If you have any questions or concerns feel free to comment or message me. :)
Choose Yes or No to tell if the fraction
will make each equation true.
3
+ a
=
23
24
Choose.. v
+=
Choose.. v
13
18
Choose.. v
-=+
Choose.. v
15
Answer:
yes
yes
no
yes
Step-by-step explanation:
The Commutative Property states that the order of terms in an expression does not affect the outcome. Which of the following operations does the Commutative Property apply? select all that apply
A. addition
B. subtraction
C. multiplication
D. division
9/5 equal blank divided by blank
Answer:
9/5 = 1/5 divided by 1/9
Step-by-step explanation:
1/5 x 9/1 = 9/5
there are 598 goldfish divided equally among 23 fish tanks about how many goldfish are in each tank
Candidate B recieved 5 times as many votes as Candidate A. Whats the ratio of votes for Candidate B to votes for Candidate A?
Graph a line that contains the point (-6, 1) and has a slope of 5?
A frame around a family portrait has a perimeter of 94 inches. The length of the frame is 7 inches less than twice the width. Find the length and width of the frame.
Step-by-step explanation:
Let l be the length and w be the width of the frame.
We have 2(l + w) = 94 and l = 2w - 7.
Therefore 2[(2w - 7) + w] = 94.
=> 3w - 7 = 47
=> 3w = 54
=> w = 18
l = 2(18) - 7 = 36 - 7 = 29
Hence the length of the frame is 29in and the width of the frame is 18in.
kaylie swims 1500m every monday,,wednesday, friday, and saturday. Sunday, she swims 1800m. how much km does she swim each week?
Answer:
If she swims everyday but tuesday and sunday she would had swim 6000m a week But if you going to count sunday she swims, 7800m a week.
Step-by-step explanation:
Start off with 1500m.
Since it's monday, wednesday, friday and saturday it would be
1500x4
Which equals 6000. If you want to add sunday into it just take the 6000 and add 1800 and you will get
7800.
what is the coefficient of x in the equation?
y=x+4
Answer:
1
Step-by-step explanation:
When a variable does not have a visible coeffecient then the coefficient is 1. (Double check to make sure I'm correct)
Adrienne has chickens and ducks on her farm. She has 48 chickens and 28 ducks. What ratio describes the number of ducks to the number of chickens?
what is the solution to the equation x - 3.9 = 12.4
Answer:
16.8
Step-by-step explanation:
equation: x - 3.9 = 12.9
add 3.9 to 12.9
answer is 16.8
If a bicyclist travels 30 kilometers in two hours, her average speed is?
Answer:
Step-by-step explanation: