Answer:
61.922 feet
Step-by-step explanation:
For this problem, we simply want to set up a trigonometric function that computes the height of the tree, and we want to add the height of Tamara.
We are given a distance from the tree of 30 feet with an angle from her eye-level to the top at 62 degrees. So we can say the following:
y = tan(Θ) * x
Where Θ = 62 degrees, x = 30 feet, and y is the height of the tree from Tamara's eye level.
y = tan(Θ) * x
y = tan(62) * 30
y = 56.422
So we also need to include the height of Tamara to get the total height of the tree from the ground to the top.
56.422 ft + 5.5 ft = 61.922 ft
Hence, the total height of the tree is 61.922 feet.
The height of the tree is 71.32 feet.
What are trigonometric identities?Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.
We set up a trigonometric function to get height of tree.
Distance ,
x = 35 feet away from tree base
Angle = 62⁰ at eye level
Then we get;
Y = tan(angle) x
Y = tan(62⁰) x 35
Y = 1.881 x 35
Y = 65.82 feet
We add Tamara's height to the total height of the tree that forms an equation as;
= 65.82feet + 5.5 feet
= 71.32 feet is the height of the tree
The height of the tree is 71.32 feet.
Learn more about trigonometric;
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Find the value of x and y that satisfy both equalities x/5=y/3 and 12/y=4/5 HURRY!!!!
x=25,y=15 Not to sure abt this answer but I think I got it
Choose the equation that represents the line that passes through the point (-1, 6) and has a slope of -3.
y=-3x + 3
y=-3x - 6
y = 3x - 3
y = 3x - 1
Answer:
Equation of line is [tex]\mathbf{y=-3x+3}[/tex]
Option A is correct.
Step-by-step explanation:
We need to write an equation that represents the line that passes through the point (-1, 6) and has a slope of -3.
The equation will be of slope-intercept form: [tex]y=mx+b[/tex]
where m is slope and b is y-intercept
We are given slope m =-3, we need to find y-intercept b
Finding y-intercept
using slope m=-3 and point (-1, 6)
[tex]y=mx+b\\6=-3(-1)+b\\6=3+b\\b=6-3\\b=3[/tex]
So, y-intercept b is 3
Now the equation of line having slope m= -3 and y-intercept b = 3 is
[tex]y=mx+b\\y=-3x+3[/tex]
Equation of line is [tex]\mathbf{y=-3x+3}[/tex]
Option A is correct.
Answer:
a or the first one
Step-by-step explanation:
y=-3x+3
A 150 W driveway light produces 9.3 × 104
J of light energy
over a 4.0 h period. If the light uses 2.06 × 106
J of energy in
the 4.0 h, then what is its efficiency?
Show all work
Answer:
4.51456%
Step-by-step explanation:
Efficiency equation: output/input*100%
(9.3*10^4)/(2.03*10^6)*100 = 4.51456%
00:00
Select all the values of p that are solutions for this inequality
10p - 8 >12
A. -1
B. 0
C. 1
D. 2
E. 3
Answer:
The answer is D. and E.
Step-by-step explanation:
The answer is D and E because 10 multiplied by 2 is 20 and 20 is bigger then 12 and 10 times 3 is 30 which is also bigger than 12.
P.S Can I have brainliest?
From the region (2, ∞) of the inequality the values -1, 0, and 2 are not in the region, but the value 3 is in the region so p = 3 is the solution to the inequality option (E) is correct.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than, known as inequality.
We have inequality:
10p - 8 >12
10p > 12 + 8
10p > 20
p > 2
p ∈ (2, ∞)
Thus, from the region (2, ∞) of the inequality the values -1, 0, and 2 are not in the region, but the value 3 is in the region so p = 3 is the solution to the inequality option (E) is correct.
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a recipe ask for 1/2 cup of ingrediants. how many cups of B fo you need when using 4 cups of A.
What number would you use to get rid of the fractions?*
1/2+1/5x=3/10x+4/5
Answer:
10
Step-by-step explanation:
multiplying each fraction by 10 gets of the fraction form
1/2 * 10 = 5
1/5x * 10 = 2x
3/10x * 10 = 3x
4/5 * 10 = 8
BRAINLIEST!!!!!!!!!!
In which of the tables below x and y are inversely proportional? Find the constant of variation. PLZ PLZ PLZ PLZ PLZ PLZ HELP WILL GIVE 5 STARS AND THANKS AND MARK BRAINLYIST
(a)
x 3 4 5 5.5
y 8 6 4.8 4
(b)
x 0.1 0.5 75 100
y 300 60 0.4 0.3
HELP plz :( :((((((((
The answer is B
Step-by-step explanation:
the table B represent an inverse variation, the constant of variation k is 30
Which of the following equations are written in standard form?
А. 3x + 5y = -7
B. 2y + x = 12
C. 5x+10y = -21
D. 1.2x + 5y = 23.7
PLEASE HELP ME ASAP
X2 + 13x + 36 trinomial
Answer:
x × 2 + 468
2 (x + 234)
I guess this is it
Which graph shows the points (−11
2
, 1
2
) and (1.5, −0.5) plotted correctly?
On a coordinate plane, a point is 0.5 units to the right and 1.5 units up. Another point is 0.5 units to the left and 1.5 units down.
On a coordinate plane, a point is 1.5 units to the left and 0.5 units up. Another point is 1.5 units to the right and 0.5 units down.
On a coordinate plane, a point is 0.5 units to the left and 1.5 units up. Another point is 0.5 units to the right and 1.5 units down.
On a coordinate plane, a point is 1.5 units to the left and 0.5 units down. Another point is 1.5 units to the right and 0.5 units up.
Answer:
b
Step-by-step explanation: got it right on edge
Answer:
B
Step-by-step explanation:
got it right on edge
fill in the table of values so that this is a proportional relationship with k=3/2
Step-by-step explanation:
the table is non-existent
A tape diagram. There are 35 6th graders with an older sibling out of 100 6th graders. There are question mark 6th graders with an older sibling out of 300 6th graders. StartFraction part Over whole EndFraction = StartFraction 35 times 3 Over 100 times 3 EndFraction = StartFraction question mark Over 300 EndFraction Graph If 35% of the 300 students in 6th grade have an older brother or sister, how many 6th graders have an older sibling? To solve this problem, we can write an equivalent ratio as the percent and then create the percent . 6th graders have an older brother or sister.
Answer:
35 a
Step-by-step explanation:
ada
Answer:
1. Percent 2. Ratio 3. Ratio 4. 105
Step-by-step explanation:
I just did it
5/8 ÷ 3/8 help plz thanks
Answer:
1.66666666667
Step-by-step explanation:
The volume V in liters of air in the lungs during a five- second respiratory cycle is approximated by the model V= 0.1724t+0.1523t^2-0.0377t^3 where t is the time in seconds. Approximate the average volume of air in the lungs during one cycle. Round your answer to four decimal places.
Answer:
[tex]\frac{\int\limits^5_0 {0.1724t+0.1523t^2-0.0377t^3} \, dt }{5-0} = 0.522[/tex]
Step-by-step explanation:
as with all functions f(t), the average value on [a,b] is
[tex]\frac{\int\limits^b_a {f(t)} \, dt }{b-a}[/tex]
- 3x - 10 = 32
X = 14
X = -14
X = -10
x =10
Answer: -14
Step-by-step explanation:
-3x-10=32
Since the 10 is negative you have to add 10 on the right side of the equal sign. you add 10 to the negative 10 and it cancels out and becomes zero. Then you have to add 10 to the 32 and it becomes 42. Divide the 42 by negative 3 and you get -14.
Hi can u plzz help me with these thank you!!!
1. If the diameter of a circular object is 10 feet. Find the radius and the circumference. Use 3.14 for π.
2. Find the perimeter of the window. R = 4ft
Answer:
1.
[tex]Radius = 5ft[/tex]
[tex]Circumference = 31.4\ ft[/tex]
2.
[tex]Perimeter = 25.12\ ft[/tex]
Step-by-step explanation:
Solving (1):
Given
[tex]Diameter = 10ft[/tex]
Required
Determine the radius and circumference
Radius is calculated as follows:
[tex]Radius = \frac{1}{2} * Diameter[/tex]
[tex]Radius = \frac{1}{2} * 10ft[/tex]
[tex]Radius = 5ft[/tex]
The circumference is calculated using:
[tex]Circumference = 2 * \pi * Radius[/tex]
[tex]Circumference = 2 * 3.14 * 5ft[/tex]
[tex]Circumference = 31.4\ ft[/tex]
Solving (2):
Given
[tex]R = 4ft[/tex]
Assume that the window is circular, the perimeter is calculated as follows:
[tex]Perimeter = 2 * \pi * R[/tex]
[tex]Perimeter = 2 * 3.14 * 4ft[/tex]
[tex]Perimeter = 25.12\ ft[/tex]
The slope of a line is 1/2 and it passes through the point (4,−7)
. Which of the following is the equation of the line?
Select one:
A) y=1/2x+9
B) y=1/2x+4
C) y=1/2x−7
D) y=1/2x−9
Answer:
Step-by-step explanation:
its the last one heres a graph of it
i hope it helps :)
Eve is organizing a race to raise money for a local children's hospital. She makes $20 for each 5K participant and $45 for each 10K participant. Her goal is to raise $9,500.If x represents the number of participants in the 5K race and y represents the number of participants in the 10K race, the linear equation for the given scenario is
Answer:
20x + 45y = 9500 is the linear equation for given scenario
Step-by-step explanation:
Given that Eve makes $20 for each 5K participant and $45 for each 10K participant
Cost of each 5k participant = $ 20
Cost of each 10k participant = $ 45
Her goal is to raise $9,500
Let "x" represents the number of participants in the 5K race
Let "y" represents the number of participants in the 10K race
To find: linear equation for given scenario
The standard form for linear equations in two variables is Ax + By = C
Eve makes $20 for each 5K participant and $45 for each 10K participant and goal is to raise $ 9500
From the above statement, we can frame a equation as:
number of participants in the 5K race x Cost of each 5k participant + number of participants in the 10K race x Cost of each 10k participant = $ 9500
20x + 45y = 9500
Therefore, the linear equation for given scenario is found
Answer:
20x + 45y = 9500
yes/no: no
Solution:
Given that Eve makes $20 for each 5K participant and $45 for each 10K participant
Cost of each 5k participant = $ 20
Cost of each 10k participant = $ 45
Her goal is to raise $9,500
Let "x" represents the number of participants in the 5K race
Let "y" represents the number of participants in the 10K race
To find: linear equation for given scenario
The standard form for linear equations in two variables is Ax + By = C
Eve makes $20 for each 5K participant and $45 for each 10K participant and goal is to raise $ 9500
From the above statement, we can frame a equation as:
number of participants in the 5K race x Cost of each 5k participant + number of participants in the 10K race x Cost of each 10k participant = $ 9500
20x + 45y = 9500
If eve raises exactly $9,500, it is NOT possible for there to be 220 participants in the 5K race.
There are 5,375 pencils in 25 cases. Find the unit rate. pls
Answer:
5,375/25= 215 pencils per case
Step-by-step explanation:
Answer: 215 Pencils are in each case
Step-by-step explanation:
5,375/25 equals the unit rate
what the missing value of -4x-y=24
Answer:
6
Step-by-step explanation:
24/-4
Answer:
its is 6
Step-by-step explanation:
HELP NEEDED ASAP FOR 10 POINTS
Answer:
Option D
Step-by-step explanation:
(10x + 13) + (12 + 9x) + ( 13x + 12) + 55 + 44 = 360
32x + 136 = 360
Subtract 136 from both sides;
32x = 224
Divide both sides by 32;
x = 7
James makes $15 per hour. He works 40
hours per week. He gets paid every week. If
he has to pay 10% for FICA, 7.5% for Social
Security, and 2.9% for Medicare, what is his
take home pay or his Net Income?
Answer:
i got 485!
Step-by-step explanation:
multiply 40 by $15 = 600 then subtract 10% = 540 then subtract 7.5% = 499.5 lastly subtract 2.9% = 485 and that's his take home money :)
The cordinate of point A on a grid are (-3,-2). Point A is reflected across the y-axis to obtain part B. The coordinates of point B are (__,-2)
Step-by-step explanation:
When you reflect a point across the y-axis, the x-coordinate gets multiplied by -1 and the y-coordinate remains the same.
A(-3, -2) => B(3, -2).
The number that is filled in the blank is 3.
find the slope and y-intercept of the line in the graph. Express the answers as simplified fractions, if necessary.
Answer:
y=1 3/5x+-5
Step-by-step explanation:
So the y intercept is where your slope meets the middle, basically the y. So it hit the y on -5. And the rise and run 8/5 rise is 8 and run is 5. 8/5= 1 3/5. in equation it is y=1 3/5x+-5.
PLEASE HELP ASAP!!
A
B
C
D
Answer:
I think its B
Step-by-step explanation:
I'm not if you mean y = 3 or y = 3 times x -w-"
At the beginning of last year,there were 368 students at the elementary school.By the beginning of this year,72 of those students have moved to other school districts and 64 new students arrived. about how many students started the school year this year
Answer:
360 students
Step-by-step explanation:
We start off with 368.
Then 72 leave the school, so subtract 72 from our total.
368 - 72 = 296
But, then 64 new students join, so add this to our new total.
296 + 64 = 360.
Ask any questions you have in the comments, and if this helps, maybe consider giving a Brainliest :P
If x is greater than 0, what is the difference of 6x√14x - 5√56x^3 in simplest radical form?
Answer:
6x√14x - 5√56x^3 = -4√14x√x
I hope this helps at least. :)
Simply put, expressing a radical in its lowest extreme form implies simplifying it and that there are no more squared roots, cube roots, 4th roots, and so on to find. This also entails eliminating any radical from a fraction's base, and further calculation can be defined as follows:
Given:
[tex]\to \bold{6x\sqrt{14x} - 5\sqrt{56x^3}}[/tex]
To find:
simplest radical form=?
Solution:
[tex]\to \bold{6x\sqrt{14x} - 5\sqrt{56x^3}}[/tex]
[tex]\to \bold{6x\sqrt{14x} - 5 \sqrt{4 \times 14 \times x \times x \times x}}\\\\\to \bold{6x\sqrt{14x} - 5 \times 2x \sqrt{ 14 x}}\\\\\to \bold{6x\sqrt{14x} -10x \sqrt{ 14 x}}\\\\\to \bold{\sqrt{14x} (6x-10x)}\\\\\to \bold{\sqrt{14x} (-4x)}\\\\\to \bold{-4x\sqrt{14x} }\\\\[/tex]
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What is the explicit rule for this geometric sequence?
2/9,2/3,2,6,...
an=3(29)n−1
an=3(29)n
an=29⋅3n−1
an=29⋅3n
Answer:
Tn = 2/3^(n-1)
Step-by-step explanation:
The nth term of a geometric progression is expressed as
Tn = ar^{n-1}
a is the first term
n is the number of terms
r is t common ratio
From the sequence
a = 2/9
r = (2/3)/(2/9) = 2/(2/3) =3
Substitute
Tn = 2/9(3)^(n-1)
Tn = 2/3^(n-1)
Hence the required equation is Tn = 2/3^(n-1)
Answer:
the actual answer is [tex]a_{n}[/tex][tex]=(\frac{2}{9} )3^{n-1}[/tex]
test taken, I know the real numbers for the question, and the real answer, and this is it
between two points
context
(Application 4)
An archaeological dig is marked with a rectangular grid where each square is 4 feet on a side. An important artifact is discovered
at the point corresponding to (-45, 20) on the grid. How far is this from the control tent, which is at the point (5, 40)? Round to
the nearest tenth of a foot.
The distance between the artifact and the control tent, to the nearest tenth of a foot, is
approximately feet.