Answer:
[tex]\boxed {\boxed {\sf 102.1 \ meters}}[/tex]
Step-by-step explanation:
Let's assume the tree forms a right angle with the ground.
The distance from the tree to the man is 18 meters. The angle of elevation, which is 80 degrees, is the angle from where the man is to the top of the tree. We want to find the height of the tree, which we can call x.
Let's draw a diagram. (not to scale)
We can use sine (opposite/hypotenuse), cosine (adjacent/hypotenuse) or tangent (opposite/adjacent). We base the sides off of the elevation angle.
x is opposite the elevation angle and 18 is adjacent to the angle. So, we must use tangent.
[tex]tan(\theta)=opposite/adjacent[/tex]
The angle (θ) is 80. The opposite is x. The adjacent is 18.
[tex]tan(80)=x/18[/tex]
Now, solve for x by isolating it.
x is being divided by 18. The inverse of division is multiplication. Multiply both sides of the equation by 18.
[tex]18*tan(80)=x/18*18[/tex]
[tex]18*tan(80)=x[/tex]
[tex]18*5.67128182=x[/tex]
[tex]102.0830728=x[/tex]
Round to the nearest tenth. The 8 in the hundredth place tells us to round up.
[tex]102.1\approx x[/tex]
The height of the tree is about 102.1 meters.
**diagram is not to scale
Given the table, explain how to find the slope of the linear function
Answer:
Slope is 3
Step-by-step explanation:
y2 - y1/x2 - x1 = m
6 - 12/0 - 2 = m
-6/-2 = m
3 = m
Pls brainliest
HELLLLPPPP MEEE PLZZZ!!!!
What number is 9% of 118?
Answer:
10.62 is the correct answer ☺
Find the area of a square with side length x when x is equal to the given value. Are the area of a square and the length of its side directly proportional? Justify your answer. b x=10 in. PLS HELP WILL MARK AS BRIANLIEST PLSS
Given:
Side length of square is x = 10 in.
To find:
Area of a square with side length x when x = 10 in.
Check whether the area of a square and the length of its side directly proportional.
Solution:
Area of square is
[tex]Area=(side)^2[/tex]
[tex]Area=x^2[/tex]
For x=10, we have
[tex]Area=(10)^2[/tex]
[tex]Area=100[/tex]
Therefore, the area of square is 100 sq. in. when x=10 in.
For x=1,
[tex]A_1=1^2=1[/tex]
[tex]\dfrac{A_1}{x_1}=\dfrac{1}{1}=1[/tex]
For x=2,
[tex]A_2=1^2=4[/tex]
[tex]\dfrac{A_2}{x_2}=\dfrac{4}{2}=2[/tex]
Here, [tex]\dfrac{A_1}{x_1}\neq \dfrac{A_2}{x_2}[/tex].
Since, [tex]Area=(side)^2[/tex] and ratio of area and sides are not always same, therefore the area of depends on the side but not directly proportional to its side.
:(((
Mrs. Roslin has 32 students in her class. Of these students, 14 are girls. She chooses one boy and one girl at random to help pass out papers. Determine the total number of outcomes.
(Basically how many different outcomes can be made... no explanation needed.)
Answer:
2 outcomes
Step-by-step explanation
The Roslin has 32 students in her class, of these students, 14 are girlsl number of outcomes are 252.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
The total number of outcomes can be found by multiplying the number of options for choosing a boy by the number of options for choosing a girl:
Number of outcomes = number of options for choosing a boy x number of options for choosing a girl
Since Mrs. Roslin has 32 students in her class, there are 32 - 14 = 18 boys in her class.
So the number of options for choosing a boy is 18, and the number of options for choosing a girl is 14.
Therefore, the total number of outcomes is:
18 x 14 = 252
Hence, the total number of outcomes is 252.
To learn more on probability click:
https://brainly.com/question/11234923
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What makes math word problems challenging for you? If word problems are not hard for you, explain what you do to solve them.
Well.
Step-by-step explanation:
For me, typically I dont read the question properly and do the math wrong. Other moments I cant even figure out what exactly the question is even asking.
Step-by-step explanation:
You can try to read the word problem once first (no need to be really through just need to get an idea of what's really happening), and then read again, now a little more through, where you need to understand what the question wants of you. Once you understood the question, relate it to the topic you have learnt and see if there's any formula in this topic that you have been taught. If there is, keep all of these formulas in mind. If there isn't then it's good just search for all the numbers given in the question and form and equation in it or just solve. If there may be formulas involved, try relate the question/info given to the formulas you have in your head and yeah
'Solve 4x- c= k for x.
Answer:The answer would be x=c+k/4
Step-by-step explanation:
The required solution for the equation ax -c = k for x is x = (k + c)/4.
Given that,
To determine the solution of the equation 4x- c= k for x.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
4x - c = k
Now, simplifying the above equation for x,
4x - c = k
4x = c + k
x = (c + k) / 4
Thus, the required solution for the equation ax -c = k for x is x = (k + c)/4.
Learn more about simplification here: https://brainly.com/question/12501526
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please everyone mark me as brainlest
Answer:
for brainliest you have to give answers not to ask questions
Step-by-step explanation:
then the people choose you brainliest if you give good answers
A landscaper installs 12 sections of the trellis. Each section of the trellis is 0.75 yards long. How many yards of the trellis are installed altogether?
Answer:
9
Step-by-step explanation:
you would do .75*12 because there are 12 stories and each one is .75 yards long, so to get all together, you do 0.75*12
Sorry im in a hurry
2 ¿Cuál es la relación entre el área del dibujo a escala y el área de la cancha de baloncesto real? escala 4.2 pulgadas A. Muestra cómo puedes hallar el área de 1 pulgada : 20 pies D. ¿La razón entre el área real y el área del dibujo es la misma que la razón entre la cancha en el dibujo a escala B. Muestra cómo puedes hallar la longitud y el ancho de la cancha real. C. ¿Cuál es el área de la cancha de baloncesto real? Muestra tu trabajo. las longitudes reales y las longitudes del dibujo? Explica tu respuesta,
Answer:
i don't have the answer but this is the translation guys
Step-by-step explanation:
What is the relationship between the area of the scale drawing and the area of the actual basketball court? 4.2 inch scale A. Show how you can find the area of 1 inch: 20 feet D. Is the ratio of the actual area to the area in the drawing the same as the ratio of the court in the scale drawing B. Show how you can Find the length and width of the actual court. C. What is the area of the actual basketball court? Show your work. the actual lengths and the lengths of the drawing? Explain your answer,
What is the measure of angle SUT?
A) 35
B) 70
C) 110
D) 290
Answer:
C
Step-by-step explanation:
35+35+x=180
x=180-70
x=110
can some one help me with this please and show me how to do this?
Answer:
1.8
Step-by-step explanation:
Calculate the absolute values - the -1 turns into 1. Than the 0.8 stays the same.After that you just add them togetherA ladder is leaning against a tall wall with the foot of the ladder placed at 7 feet from the base of the wall and the angle of elevation is 73' 30' 40"
Complete question is;
A 21 ft ladder is leaning against a tall wall with the foot of the ladder placed at 7 feet from the base of the wall and the angle of elevation is?
Answer:
θ = 70.5°
Step-by-step explanation:
The angle of elevation simply means the angle that the ladder makes with the ground. Let's call this angle θ.
I've attached a diagram showing the triangle made by this ladder and the wall.
From the attached diagram, we can see the triangle formed by the ladder and the wall.
We can find the angle of elevation θ from trigonometric ratios.
Thus;
7/21 = cos θ
cos θ = 0.3333
θ = cos^(-1) 0.3333
θ = 70.5°
the table shows conversions of common units of length.
Unit of Length
Customary System Units
Metric System Units
1 inch
2.54 centimeters
1 foot
0.3048 meters
1 mile
1.61 kilometers
1 yard = 3 feet
1 yard = 36 inches
Which shows the best path to find the number of centimeters in 1 yard?
yards Right-arrow inches Right-arrow centimeters
yards Right-arrow feet Right-arrow centimeters
centimeters Right-arrow feet Right-arrow inches
centimeters Right-arrow feet Right-arrow yards
Answer:
the first option
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
i got it right
What is the image point of (-5,3) after a translation left 3 units and down 1 unit?
Answer:
(- 8, 2 )
Step-by-step explanation:
A shift of 3 left means subtract 3 from the x- coordinate
A shift of 1 down means subtract 1 from the y- coordinate
Translation rule is
(x, y ) → (x - 3, y - 1 ), thus
(- 5, 3 ) → (- 5 - 3, 3 - 1 ) → (- 8, 2 )
Please hurry I need this fast
Answer:
c
Step-by-step explanation:
A rectangular lot is 20 yards longer than it is wide and its area is 2400 square yards. Find the dimensions of the lot
Answer:
120
Step-by-step explanation:
Divide 2400 by 20 to get your answer! It may be wrong
Answer:
W = 40
L = 60
Step-by-step explanation:
L = 20 + W
L*W = 2400
(20 + W)*W = 2400
W^2 + 20*W - 2400 = 0
(W + 60)*(W - 40) = 0
W = 40 (yards)
L = 20 + W
= 20 + 40 = 60
W = 40
Daikwon and Chris are about to record a new CD. They have a choice between two back up bands. One band charges $50 plus $20 for each take. The second band charges S20 plus $25 for each take.
Answer:
The second band
Step-by-step explanation:
50+20=70
20+25=45
Nolan uses 3 yards of string. He cuts the string into pieces that are 1/6 yard long. How many pieces does Nolan have?
Answer:
18
Step-by-step explanation:
6×3=18
Answer:
18
Step-by-step explanation:
Matt wants to play in the sand pit, and then try the swings, the slide, and the seesaw, in that order. If the units on the coordinate plane are in yards, how many yards will Matt cover between the sandpit and the seesaw?
A.
12 yards
B.
15 yards
C.
18 yards
D.
25 yards
E.
29 yards
Answer:
it should be 12
i think :)
i hope im correct
Step-by-step explanation:
a shipping crate is a perfect cube with volume of 2,197 cubic feet. the ceiling of the warehouse is 14 feet high. will the crate fit in the warehouse explain why
Answer:
As the height of warehouse is greater than the height of crate, the crate will fit in the warehouse.
Step-by-step explanation:
Given that
Volume of cube = V = 2197 cubic feet
Side of cube = a =?
Height of ware house = h = 14 feet
In order for the crate to fit in the warehouse the height of crate has to be less than the height of warehouse i.e. a<h
In order to check this we have to find the side/height of crate
So,
[tex]V = a^3\\2197 = a^3[/tex]
Taking cube root on both sides
[tex]\sqrt[3]{a^3} = \sqrt[3]{2197}\\\sqrt[3]{a^3} = \sqrt[3]{13^3}\\ a = 13\ feet[/tex]
So the height of cube is 13 feet.
Comparing the height of c and height of ware house we can conclude that
Height of Warehouse > Height of crate
h>a
14>13
As the height of warehouse is greater than the height of crate, the crate will fit in the warehouse.
What is 4/6 + 5/7
Please add the fractions
[tex]\frac{4}{6}[/tex] simplified is [tex]\frac{2}{3}[/tex] this plus [tex]\frac{5}{7}[/tex] equals 1[tex]\frac{8}{21}[/tex]
it's asking me to order them from least to greatest how do I do that with tables
Hi there! Hope this helps.
Answer:
Look below.
Step-by-step explanation:
I didn't know if you wanted the answer or just an explanation, so I'll give you an explanation for now.
Look at all of the tables and find the one with the smallest, 2nd smallest, and 3rd smallest numbers and keep going up until you get to the biggest number.
Bamboo Plant A is 1.2 meters tall and growing at a rate of 0.45 meter per day. Bamboo Plant B is 0.85 meter tall and growing 0.5 meter per day. After how many days will Plant B be taller than Plant A?
Answer:
7 days
Step-by-step explanation:
Bamboo plant A = 1.2 + 0.45d
Bamboo plant B = 0.85 + 0.5d
Where,
d = number of days
Equate the two growth
Bamboo plant A = Bamboo plant B
1.2 + 0.45d = 0.85 + 0.5d
Collect like terms
1.2 - 0.85 = 0.5d - 0.45d
0.35 = 0.05d
Divide both sides by 0.05
d = 0.35 / 0.05
d = 7 days
Plant B be taller than Plant A after 7 days
what is the equation of a line in slope intercept form that is perpendicular to y=2x+2 and passes through the point (8,-4)
Answer:
The equation of the line that is perpendicular to y = 2x + 2 is
y = -1/2x
Step-by-step explanation:
The original equation is y = 2x + 2; it's slope is 2
Any line perpendicular to this equation would have to have a slope that is the negative reciprocal of the original slope.
Example:
y = 2x + 2 so,
the perpendicular line's slope must be -1/2
Write a new equation with the new slope:
y = -1/2x + b
We know that this line passes through (8, -4)
Plug these coordinates in the equation to find b, the y-intercept
-4 = -1/2 (8) + b
-4 = -4 + b
0 = b
b = 0
We do not have to write y = -1/2x + 0
So, our final answer is "y = -1/2x is perpendicular to y = 2x+2"
£100 will buy lunches for 80 school children for 5 days
work out the cost of buying lunch for one school child for one day
I will only mark brainest and rate a 5 star if you show working out pls and the correct answer and working out
80 children x 5 days = 400 total lunches.
£100 / 400 lunches = £0.25 per lunch
The cost for one lunch for one student is £0.25
I would really appreciate it if sombody helped me please i suck at me math :(
Spectrum word problems Grade 8 HELP
Answer:
add all the numbers up in 1 2 3 4 and 5
Step-by-step explanation:
Answer:3 4 5 7
Step-by-step explanation:
26=6k+8-6+2k
Need ASAP
Answer: k = 3
Step-by-step explanation:
Answer:
k=3
Step-by-step explanation:
26=6k+8-6+2k
combine all common integers from the same side, (8-6) and (6k+2k).
8-6=2
6k+2k=8
Which now translates the equation to 26=8k+2.
26=8k+2
continue by moving the (2) to the other side, do so by subtracting 26-2.
26-2=24
24=8k
Lastly, move the 8 to the other side of the equation by dividing 24/8.
24/8=3
Therefore, k=3
32 lbs of apples cost $160. How much would 25 lbs cost? *
Answer:
$125
Step-by-step explanation:
If you divide 160 by 32 you will get 5 then you will multipy 5 by 25 to get $125
Answer
125$
Step-by-step explanation:
5x32=160
5x25=125
Each pound of apples is equivalent to 5$