at a certain time of day, the angle of elevation of the sun is 70 degrees. to the nearest foot, find the height of a tree whose shadow is 32 feet long
Answers
See attachment for math work and answer.
The tangent or tanθ in a right-angle triangle is the ratio of its perpendicular to its base. The height of the tree is 39.1027 feet.
What is Tangent (Tanθ)?The tangent or tanθ in a right-angle triangle is the ratio of its perpendicular to its base. it is given as,
[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
The Base is the adjacent smaller side of the angle θ.
Tan(70°) = Height of the tree/Shadow of the tree
Tan(70°) = Height of the tree/ 32 feet
Height of the tree = 39.1027 feet
Hence, the height of the tree is 39.1027 feet.
Learn more about Tangent (Tanθ):
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Related Questions
write an equation in slope-intercept form of the line that passes through the given points (-4,-2) (8,-2)
Answers
Answer:
y=-2
Step-by-step explanation:
First, find the slope using the slope formula: m=y2-y1/x2-x1
Plug the numbers into the equation and get 0
Using the slope and one of the coordinates, put the equation into point-slope form: y-y1=m(x-x2)
y+2=0(x+4)
Distribute and simplify to get the final answer.
y+2=0+0
y=-2
Mr. Olivera wants to buy a bicycle that costs $184 for each of his two children. He plans to save the $9 he usually spends for lunch to buy the bikes. About how many days must he save his lunch money to have enough to buy the bicycles? Will the actual number of days be more or less than the estimate?
Answers
Answer:
19 days its 180 y 20 days its 189
(Hope this helped in some kind of way and can i get brainlest? okay bye have a blessed day!)
The actual number of days required to buy a bicycle will be 20 days.
Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
Mr. Olivera wishes to purchase a $184 bicycle for each of his two children. He intends to save the $9 he normally spends on lunch to purchase the bikes.
Let 'x' be the number of days. Then the inequality is given as,
9x ≤ 184
Simplify the equation, then we have
9x ≤ 184
x ≤ 184 / 9
x ≤ 20.44
The actual number of days required to buy a bicycle will be 20 days.
More about the inequality link is given below.
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Chang wants to know if he is improving
Answers
Answer:
Yes he is
Step-by-step explanation:
Answer:
Yes! he is
Step-by-step explanation:
:)
Traci spent $1.19 on a pack of gum and $0.95 on lip balm.
Part A
What was the total amount Traci spent? Use the model to help you.
This image shows 3 hundredths grid next to each other. The first grid is entirely shaded in blue, second grid has 0.19 nineteen hundredths shaded in blue and remaining 0.81 eighty one hundredths shaded in yellow and third grid has 0.14 fourteen hundredths shaded in yellow and remaining are empty.
Enter your answer in the box.
$
00:00
Part B
Select words from the drop-down menus to explain how the model helps find the sum.
The number of full grids shaded is the number of . The number of small squares shaded in the grid is the number of .
Answers
She spent a total of $2.14.
Answer:
A: she spent a total of $2.14
and im sorry beb but i cant really help on part b but i tried for part a
BUT GOOD LUCK AND HAVE A WONDERFUL DAY
-Ary
which shows the use of the associative property?
Answers
Answer:
The correct answer is Option 2:
[tex]7+(\frac{1}{5}+n) = (7+\frac{1}{5})+n[/tex]
Step-by-step explanation:
Associative property consists of three quantities. Associative property for addition states that the result of adding three numbers will be same no matter what the order of addition is.
Let a,b and c be three numbers
Then associative property can be stated as:
[tex]a+(b+c) = (a+b)+c[/tex]
Now looking at the options it can be observed that the following choice shows the associative property
[tex]7+(\frac{1}{5}+n) = (7+\frac{1}{5})+n[/tex]
Hence,
The correct answer is Option 2:
[tex]7+(\frac{1}{5}+n) = (7+\frac{1}{5})+n[/tex]
Answer:
its B
Step-by-step explanation:
i got it right on Edg
27/22 as a decimal rounded to the nearest hundredth
Answers
Answer:
1.23
Step-by-step explanation:
27/22 = 1.227 --> 1.23 (7>5 so the number rounds up)
What is the product of 417.2 x 0.64?
Answers
Answer:
267.008
Step-by-step explanation:
Answer:
267.008
Step-by-step explanation:
Solve: 3x = 0.5x^2
x = -6 or x = 0
x = -4 or x = 3
x = -2 or x = 1.5
x = 0 or x = 6
Answers
Answer:
it the 3 one i am sure hope it helps
HELP HURRRYYY!!!! If (72)x = 1, what is the value of x? Explain your answer.
Answers
Answer:
1/72
Step-by-step explanation:
72 times x equals 1
to find singular value of x, divide both sides by 72.
x=1/72
Answer:
1/72
Step-by-step explanation:
Write an equation that shows the number
of teaspoons of chili powder (y) per
teaspoons of cumin (x).
Answers
Answer:
y=4x
Step-by-step explanation:
Which statement is true about the graphs of the two lines y=-x+2 and y=-x- ?
O The lines are perpendicular to each other because - and - are opposite reciprocals of each other.
The lines are perpendicular to each other because 2 and - 1 are opposite reciprocals of each other.
O The lines are neither parallel nor perpendicular to each other because - and are not opposite reciprocals
of each other.
The lines are neither parallel nor perpendicular to each other because 2 and - 3 are not opposite reciprocals of
each other.
Answers
Answer:
The correct option is Option C
Step-by-step explanation:
We are given the lines: [tex]y=-\frac{4}{5}x+2 \ and \ \ y=-\frac{5}{4}x-\frac{1}{2}[/tex]
The lines are perpendicular if they have opposite slopes i,e [tex]m_1=-\frac{1}{m_2}[/tex]
In line 1 the slope is [tex]-\frac{4}{5}[/tex] (Comparing with slope-intercept form [tex]y=mx+b[/tex] we get the value of m=-4/5)
In line 2 the slope is [tex]-\frac{5}{4}[/tex] (Comparing with slope-intercept form [tex]y=mx+b[/tex] we get the value of m=-5/4)
The opposite reciprocal of -4/5 is 5/4
So, the lines are not perpendicular as their slopes are not opposite reciprocal of each other.
If the lines are parallel there slope must be same. Hence lines are not parallel as well.
So, The correct option is Option C
Answer:
c
Step-by-step explanation:
A line segment with A B C at points
Answers
The production rate of a steel factory is declining due to old machinery. Over the last eight days production has dropped by 1.2 tons. What is the average rate of change in steel production over the eight days? Express the answer in tons per day.
A.
+1.2
B.
-1.2
C.
+0.15
D.
-0.15
Answers
Answer:
I think is A srry if im wrong :c
Step-by-step explanation:
Answer:
-0.15
we want to divide the amount of tons that was lost over the course of 8 days, in which the answer is 1.2 divided by 8 = 0.15, we then get -0.15 because they lost tons
I hope this helps
2x-1/3x+1=6x-1/9x-3
Answers
So c is 3
Simplify the following expression:
3x (7x-4)-(x-8)
Answers
Answer:
=21x2−13x+8
Step-by-step explanation:
=3x(7x−4)+−1(x−8)
=3x(7x−4)+−1x+(−1)(−8)
=3x(7x−4)+−x+8
Distribute:
=(3x)(7x)+(3x)(−4)+−x+8
=21x2+−12x+−x+8
Combine Like Terms:
=21x2+−12x+−x+8
=(21x2)+(−12x+−x)+(8)
=21x2+−13x+8
Answer:
[tex]=21x^{2} -13x+8[/tex]
Step-by-step explanation:
Plz help i will mark branliest
Writing Equations From Two Points & Point-Slope Form
Answers
Answer:
problem #2:
y - 4 = 2 ( x + 1) , y - 1 = -1/3x ( x - 2)
problem #3:
slope: 2/3 point: -2, 4
slope: -3 point: -5, -1
Step-by-step explanation:
good luck!
Which is the definition of a ray?
a part of a line that has one endpoint and extends indefinitely in one direction
the set of all points in a plane that are a given distance away from a given point
lines that lie in the same plane and do not intersect
a part of a line that has two endpoints
Answers
Answer:
a part of a line that has one endpoint and extends indefinitely in one direction
Step-by-step explanation:
a ray has one endpoint, then has an arrow going indefinitely in one direction.
Answer:
a
Step-by-step explanation:
Help please!!!!! No fake answers
Answers
Answer: 13 itk
Step-by-step explanation:
Write each decimal as a fraction or mixed number in simplest form 0.125
Answers
Answer:
1/8 as a fraction
Step-by-step explanation:
Answer: mixed number:0 1/8 or just 1/8
Step-by-step explanation:
Susan bought a pair of jeans for $20.95 and a shirt for $11.50. She paid with $40.00. How much was her change?
Answers
Answer:
$7.55
Step-by-step explanation:
First, add the prices to get the grand total.
$20.95 + $11.50 = $32.45
Now, subtract that from the total that was paid.
$40.00-$32.45 = $7.55
What is the equation for a circle with the center, (0,0) and a radius of 4?
Answers
Answer:
(X-x0)^2 +(y-y0)^2= r^2
R=4
R^2=16
(X-0)^2+(y-0)^2=16
Solve for X then Solve for angles 7X-40 and 2X+60
Answers
Answer:
X = 20
Angles are both equal to 100 degrees
Step-by-step explanation:
Assuming that 7x-40 = 2x +60
1. Order of Operations
2. 5x = 100
3. divide 100 by 5
4. x = 20
5. Plug 20 into both equations
6. 7(20) - 40 = 100
2(20) + 60 = 100
7. Both angles are equal to 100 degrees
find the larger of two consecutive integers,x, if the sum of the smaller and larger is -9. write an equation and solve
Answers
Answer:
-4
Step-by-step explanation:
PLS HELP I WILL MARK BRAINLIEST!!!!!!
Answers
Answer:
Number 3 . 5x-8y=-4
Step-by-step explanation:
What is the equation of the line whose y-Intercept is 3 and slope is 1?
Answers
y = x + 3
as x increases by 1, y increases by 1 (Slope)
when x equals 0, y equals 3 (y-intercept)
At a dinner, the meal cost $22 and a sales tax of $1.87 was added to the bill.
How much would the sales tax be on a $66 meal?
What is the tax rate for meals in this city?
PLEASE HELP
Answers
Answer:
$5.61 if I am not mistaken
Step-by-step explanation:
Let me know if I am wrong.
Sorry if I am.
Answer:
$5.61
Step-by-step explanation:
What is the answer?
Answers
Answer:
clockwise
Q= (5,-2)
R= (-1,-3)
S= (0,0)
T= (3,-2)
counterclockwise
Q= (-5,2)
R= (1,3)
S= (0,0)
T= (-3,-2)
Step-by-step explanation:
this might not be right im a little rusty on my transformations but here goes nothing.
i dont know if this is a clockwise or a counter clockwise rotation so ill do both options.
clockwise (x,y) - (y,-x)
q=(2,5) - (5,-2)
r=(3,-1) - (-1,-3)
s=(0,0) - (0,0)
t=(-2,3) - (3,2)
counterclockwise (x,y) - (-y,x)
q=(2,5) - (-5,2)
r=(3,-1) - (1,3)
s=(0,0) - (0,0)
t=(-2,3) - (-3,-2)
if x -1/7,evaluate x²+1/x²
Answers
Answer:
[tex]given \: x = - \frac{1}{7} [/tex]
[tex]x {}^{2} + \frac{1}{x {}^{2} } [/tex]
[tex]( - \frac{1}{7} ) {}^{2} + \frac{1}{ ( - \frac{1}{7} ) {}^{2} } [/tex]
[tex] \frac{1}{49} + \frac{1}{ \frac{1}{49} } [/tex]
[tex] \frac{1}{49} + \frac{1 \times 49}{1} [/tex]
[tex] \frac{1}{49} + 49[/tex]
[tex] \frac{2402}{49} \: or \: 49.02[/tex]
Derek analyzed the relationship between the mean number of points scored per game by a basketball team and the team's mean home attendance for several seasons. Derek uses the function y=−7,628+325.5x to describe the data. In the function, x represents the mean number of points scored per game, and y represents the mean home attendance. If the team's mean number of points scored per game is 60 next season, what does the model predict that the team's mean home attendance will be? The model predicts that the mean home attendance will be _____ .
Answers
Answer:
Step-by-step explanación
0.02
When the mean number of points scored per game next season is 60, the model predicts that the mean home attendance will be 11902
The function that predicts the attendance is given as:
[tex]y = -7628+325.5x[/tex]
When the mean number of points scored per game next season is 60, it means that the value of x is 60
i.e. x = 60
Substitute 60 for x in the function
So, we have:
[tex]y = -7628+325.5 \times 60[/tex]
Evaluate the product
[tex]y = -7628+19530[/tex]
Add -7628 and 19530
[tex]y = 11902[/tex]
Hence, the model predicts that the mean home attendance will be 11902
Read more about linear functions at:
https://brainly.com/question/15602982
(7.8 x 10) x (1.0 10) = ?
Scientific notation
Answers
Answer:
780
Step-by-step explanation:
7.8 x 10 is 78. 1.0 x 10 is 10. Multiply both and get 780