A tree casts a shadow that is 125 feet in length. The angle of elevation with the sun is 32°. What is the height of the tree?
Answers
Answer:
Height of the tree is 78.11 feet.
Step-by-step explanation:
By applying the tangent rule in the right triangle formed,
Since, tanθ = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
tan(32)° = [tex]\frac{h}{125}[/tex]
h = 125(tan32°)
h = 125(0.62487)
h = 78.109
≈ 78.11 ft
Height of the tree will be 78.11 feet.
Related Questions
Which expression can be simplified to find the slope of the trend line in the scatter plot?
Answers
6. Write an equation for the line that is parallel to the given line and that passes through the given point.
3
y =
X-9; (-8. -18)
3
11
y-Ž**ZH
y-
**-12
F
y = $x-12
y=-x+12
G
J
Answers
Answer:
The equation of new line is: [tex]\mathbf{y=\frac{3}{4}x-12}[/tex]
Option H is correct.
Step-by-step explanation:
We need to write an equation for the line that is parallel to the given line [tex]y=\frac{3}{4} x-9[/tex] and point (-8,-18)
The equation of required line will in in form [tex]y=mx+b[/tex] where m is slope and b is y-intercept.
We need to find slope m and b y-intercept for new line.
Finding slope:
When two lines are parallel, they have the same slope.
The slope of given line can be found by comparing the equation [tex]y=\frac{3}{4} x-9[/tex] with [tex]y=mx+b[/tex]
So, m = 3/4
The slope of new line will be: [tex]m=\frac{3}{4}[/tex]
Finding y-intercept:
Using slope m = 3/4 and point (-8,-18) we can find y-intercept
[tex]y=mx+b\\-18=\frac{3}{4}(-8)+b\\-18=-6+b\\b=-18+6\\b=-12[/tex]
So, y-intercept is b=-12
The equation of new line having m = 3/4 and b=-12 is:
[tex]y=mx+b\\y=\frac{3}{4}x-12[/tex]
So, the equation of new line is: [tex]\mathbf{y=\frac{3}{4}x-12}[/tex]
Option H is correct.
HELP PLEASE
14-(-5)+12+(-18)=
Answers
Answer:
13
Step-by-step explanation:
because wothe the power of God and anime-
Let me know if its right :)
all you need is in the photo
Answers
Answer:
4 hours mowing lawns and 4 hours washing cars. 6 hours washing cars and 2 hours mowing lawns.
Step-by-step explanation:
Car washing gets paid more so it would only be fair if he worked more hours of washing cars than mowing lawns. Hope this helped you!!
Solve the system by substitution.
--5x - 9y = 33
-Y - 1 = x
Answers
Answer:
(12/7, -19/7)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define systems
--5x - 9y = 33
-y - 1 = x
Step 2: Simplify systems
5x - 9y = 33
-y - 1 = x
Step 3: Solve for y
Substitute: 5(-y - 1) - 9y = 33Distribute 5: -5y - 5 - 9y = 33Combine like terms: -14y - 5 = 33Isolate y term: -14y = 38Isolate y: y = -19/7Step 4: Solve for x
Define: -y - 1 = xSubstitute: -(-19/7) - 1 = xSimplify: 19/7 - 1 = xSubtract: 12/7 = xRewrite: x = 12/7And we have our final answer!
Which expression is equivalent to 4(2x + 1) - (-6x)?
14x+4
8x-2
2x+4
-14x-4
Answers
Answer:
14x+4
Step-by-step explanation:
4*2x=8x
4*1=4
8x--6x=14x
14x+4
free!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
thanks
Step-by-step explanation:
Answer:
It's letting me add an answer now. So thanks for the points!
PLD HELP ME I WILL FAIL PLS
Answers
Answer:
its d
Step-by-step
multiply
Jonathan wants to the new baseball game for his game console. The game costs $45.99. If sales tax is 6%, write an equation to find the total cost of the game, represented as P.
Answers
Which equation in standard form has a graph that passes through the point (5,-2) and has a slope of 7/2
A:7x - 2y=35
B:7x - 2y=39
C:7x - 2y=-31
d:7x - 2y=-24
Answers
Answer:
B
Step-by-step explanation:
Since it's MCQ and it's LHS is all 7x - 2y, you can simply sub in (5, -2) into each option and see which one has its LHS = RHS.
7(5) - 2(-2) = 35 + 4 = 39
Hence, option B is the answer.
Topic: Coordinate Geometry
If you like to venture further, feel free to check out my insta (learntionary). It would be best if you could give it a follow. I'll be constantly posting math tips and notes! Thanks!
1.Let x, y be any two numbers that satisfies the conditions x ≠0, y ≠0, and x 0
C.y/x>1
D.x/y<1
2.A pickup truck that can hold up to 3000 pounds is carrying a big machine that is 300 pounds and a few smaller ones that each weigh 60 pounds.
At least how many small machines can you fit so that it will not exceed the weight limit of the truck?
A.no more than 50
B.no less than 50
C.no less than 45
D.no more than 45
3.It usually takes Claude 40 minutes driving at 48 miles per hour to go from home to work. But due to road maintenance today, Claude has to take a detour, which makes the trip 8 miles longer than usual. What is the minimum speed Claude should travel so that he can reach the destination in less than 48 minutes?
A.30 miles per hour
B.56 miles per hour
C.50 miles per hour
D.64 miles per hour
*please make sure you answer all the questions please and thank you.
Answers
Answer:
x and y can be any two numbers greater than zero such that y is also greater than x
D.no more than 45
C.50 miles per hour
Step-by-step explanation:
Let the two numbers be such that x< y because we have been given y/x>1 and x/y< 1 .
Suppose we take y= 9 and x= 3 then
9/3 > 1
3>1
Also
3/9 < 1
1/3 < 1
x and y can be any two numbers greater than zero such that y is also greater than x
2. Total weight that can be carried is 3000 pounds.
The big machine is 300 pounds. The weight that the truck can carry beside the big machine is 3000-300= 2700 pounds.
The smaller machines weigh 60 pounds
The number of smaller machines that can be carried is 2700 ÷ 60= 45 other than the big machine.
3. Total distance = Speed * time
= 48 * (40/60) = 32 miles
New distance = 32+ 8= 40 miles
New time = 48 minutes
Speed = distance / time = 40/ 48/60= 50 miles per hour
The students in Dave's grade voted to select a guest speaker. 55% of the students voted for a famous athlete. If there are 40 students in Dave's grade, how many students voted for the athlete?
Answers
x varies directly with y, x =16, y=36, find x when y is 90
Answers
Answer:
The answer is 40 I believe
Step-by-step explanation:
36 divided by 16 is 2.25, 90 divided by 2.25 is 40
Answer:
try 70
Step-by-step explanation:
At a restaurant, Brianna and Naomi each order an appetizer for $6.50 and an entree for $9.75. The sales tax is $0.98 and they leave a tip of $5.85. How much did Brianna and Naomi spend in all?
Answers
Given :
At a restaurant, Brianna and Naomi each order an appetizer for $6.50 and an entree for $9.75.
The sales tax is $0.98 and they leave a tip of $5.85.
To Find :
How much did Brianna and Naomi spend in all.
Solution :
Total expenses, T = Food + tax + tip
T = $( 6.50+9.75) + $0.98 + $5.85
T = $( 16.25 + 0.98 + 5.85 )
T = $23.08
Therefore, total expenses is $23.08 .
Hence, this is the required solution.
z divided 4; z=824 ,(evalute each expression for the value given)
Answers
Answer:
206 is the answer for you if am wrong sorry
Answer:
206
Step-by-step explanation:
z = 824/4
Z = 206
so therefore Z is equals to 206
6) Twenty-one subtracted from a number is -8. Find the number.
Answers
Answer:
13
Step-by-step explanation:
x - 21 = -8
add 21 to each side
x = 13
Explanation:
x-21=(-8)
-8+21=13
Select the correct answer from the drop-down menu. In this triangle, the product of tan A and tan C is .
Answers
Answer:
https://brainly.com/question/14708539
c)
2a + 5
_______=5
3
Answers
So, a = 5
Answer:
24 is the answer
Step-by-step explanation:
2a + 5 = 53
-5 -5
0 48
2a/2= a
48/2= 24
THEREFORE a=24
1 2/5 ÷ 4/7 kjahs;kjhg;
Answers
Answer: 2.45
Step-by-step explanation:
Answer:
Your answer is 2 [tex]\frac{9}{20}[/tex]
Step-by-step explanation:
1 [tex]\frac{2}{5}[/tex] divided by 4/7 = 2 [tex]\frac{9}{20}[/tex]
Mark as Brainliest!
12. Graph the following linear equations. State the slope and y-intercept for
each.
a. y= 5x – 2
b. y= 2x + 10
C. y= -25x + 100
Can someone help me?
Answers
please help idk how to do this hdhhhhdh
Answers
Answer:
d: c=16f
Step-by-step explanation:
Answer:
Step-by-step explanation:
c=16f
which statement is false ?
Answers
Answer:
C
Step-by-step explanation:
hope this helps!
The perimeter of the figure below is 133.1 ft. Find the length of the missing side.
9.7 ft
8.9 ft
8.9 ft
8.9 ft
18.6 ft
11.6 ft
20.5 ft
27.5 ft
8.9 ft
?
Answers
Answer:
9.6 ft
Step-by-step explanation:
133.1 - (9.7 + 8.9 + 8.9 + 8.9 + 18.6 + 11.6 + 20.5 + 27.5 + 8.9)
133.1 - 123.5
= 9.6
Answer:
9.6
Step-by-step explanation:
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Answers
Answer:
No solutions is your answer
Step-by-step explanation:
I hope it helps and don't give up just like it says in i ready
pls helpp i’m confused
Answers
Answer:
D.
Step-by-step explanation:
it can't be B or C since Function A has a greater y-intercept of 2. and if you graph function A you can see that Function B has a greater rate of change
Answer:
D
Step-by-step explanation:
The rate of change for the graph is 2 so we can rule anything out that shows A has a larger rate of change. Now we look at the y intercept on the graph which is -2. The one in the function is 2 so we eliminate anything that says B has a greater y intercept this should give you the answer
Hope this Helps :)
convert the equation to the standard form of parabola and graph the parabola the focus and the directrix
x^2+ 8x - 16 - 48 = 0
Answers
Answer:
multiple choice?
Step-by-step explanation:
Write an equation to find the number of allowance a chet receive in any number of weeks w
Answers
Answer:
b
Step-by-step explanation:
I WILL GIVE 50 POINTS
The sets of numbers 3, 4, 5 and 8, 15, 17 are Pythagorean triples. Use what you know about the Pythagorean Theorem and explain or show why they are Pythagorean triples. Be sure to show your work for each set of triples!
Please!!! For the love of GOD can someone answer this quickly!!!!!
Answers
Answer:
Using pythagorean th. you can easily prove it by squaring and adding the first two numbers whose square root will be equal to 3rd one. Try it!!
Eg: 3^2 + 4^2 = 5^2
Step-by-step explanation:
3² + 4² = 25 = 5²
8² + 15² = 289 = 17²
Answer:
3^2+4^2=5^2
9+16= 25= 5^2=
25 = 25
8^2+15^2= 17^2
64+225= 17^2
289 = 289
Step-by-step explanation:
both side a and side b are equal to side c
Maya is interning at a law firm over the summer and is paid by the hour. Her hourly wage is $52. Write two equations represent the proportional relationship between the wages she earns (w) and the number of hours (h).
Answers
Answer:
The two equations are;
w = 52 h
and h = w/52
Step-by-step explanation:
From the question, we are told that she earns $52 in an hour
So therefore ,
W(h)= 52h
where h is the number of hours she has worked and w is the wages earned for the number of hours worked
The two equations are;
w = 52h
or w/h = 52
If six 20-ounce bottles of soda costs $9.30 what is the unit price per bottle?
$1.90
$3.60
$0.65
$1.55