The height of the triangle is 8root3 meters.
We have given that,
A tree breaks due to a storm and the broken part bends,
So that the top of the tree touches the ground making an angle of 60 degrees with the ground.
The distance between the feet of the tree to the point where the top touches the ground is 16m.
Let the Height of the Tree =AB+AD
and given that BD=8 m
Now, when it breaks a part of it will remain perpendicular to the ground (AB) and the remaining part (AD) will make an angle of 30 degrees.
Now, in △ABD
cos(30)=BD/AD=BD=root3AD/2
AD=2(8)/root3
also in the same triangle
[tex]tan(30)=AB/BD\implies 8/\sqrt{3}[/tex]
What is the height of the triangle?Height of the tree=AB+AD
[tex]=\frac{16}{\sqrt{3} }+\frac{8}{\sqrt{3} } }[/tex]
[tex]=\frac{24}{\sqrt{3} } \\=8\sqrt{3}m[/tex]
Therefore the height of the triangle is 8root3.
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How many solutions does the equation 3x 6 = − 1 − 3 4x have? two zero one infinitely many
The nature of solutions to equations can be finite, infinite or no solution. The solution to the system of equation 3x + 6 = -1-3 + 4x is 10
Solution to system of equationsThe nature of solutions to equations can be finite, infinite or no solution.
Given the linear solution as shown:
3x + 6 = -1-3 + 4x
Collect the like terms
3x - 4x = -1 -3 -6
-x = -10
Multiply both sides by -1
-(-x) = -(-10)
x = 10
Hence the solution to the system of equation 3x + 6 = -1-3 + 4x is 10
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help please and thank you
Answer:
120 cars
Step-by-step explanation:
The given function is
[tex]C(x)=0.5x^2-120x+21,481[/tex]
and its parent function would be
[tex]f(x)=ax^2+bx+c[/tex]
So,
[tex]a=0.5[/tex]
[tex]b = -120[/tex]
and
[tex]c = 21,481[/tex]
The minimum cost would be found using:
[tex]x = -\frac{b}{2a}[/tex]
So just input a and b into the function:
[tex]x= -\frac{-120}{2(0.5)}[/tex]
[tex]x=-\frac{-120}{1}[/tex]
[tex]x = 120[/tex]
Therefore there must be 120 cars made to minimize the cost.
Solve the following:
a) 4x-3 = 2x + 7
b)
2x+6=7x14
[tex]\huge \qquad \qquad \sf \underline{Answer}[/tex]
[tex] \textbf {Let's Solve :}[/tex]
Question 1 :
[tex]\textsf{4x - 3 = 2x +7}[/tex][tex]\textsf{4x -2x = 3 +7}[/tex][tex]\textsf{2x = 10}[/tex][tex]\textsf{x=5}[/tex]Question 2 :[tex]\sf{2x + 6 = 7 \times 14}[/tex][tex]\sf{2x + 6 = 98}[/tex][tex]\sf{2x = 98-6}[/tex][tex]\sf{2x = 92}[/tex][tex]\sf{x=46}[/tex]
Ann weighs 259 pounds but is only 5 feet 3 inches tall. Betty is 6 feet tall. How much would you expect Betty to weigh if they have the same height/weight ratio?
Find x if ∠m1 = 2x + 10 and m∠2 = 3x - 6
Answer: 16
Step-by-step explanation:
What values of a and b would make the equation shown below have infinitely many solutions?
ax+6=-3x+b
Answer:
a=-3
b=6
Step-by-step explanation:
equation 1: ax+6
equation 2: -3x+b
get the -3 from equation 2 and plug it into equation 1
get the 6 from equation 1 and plug it into equation 2
Given three consecutive odd integers, what is the greatest number if triple of the sum of thrice the third one and twice the first one is equal to 291? ( grid-in )
Let n be the smallest of these integers. The other two are then n + 2 and n + 4.
"triple of the sum of thrice the third one and twice the first one is equal to 291" is a long-winded way of saying
3 (3 (n + 4) + 2n) = 291
Solve for n :
3 (3n + 12 + 2n) + 291
3 (5n + 12) = 291
15n + 36 = 291
15n = 255
n = 17
Then the greatest of the three integers is n + 4 = 21.
A net has a square at the center and 4 triangles on the sides. The square has side lengths of 2 yards. The triangles have a base of 2 yards and a height of 3 yards. What is the surface area of the square pyramid?
Answer:
16 yd^2.
Step-by-step explanation:
Surface area = area of square + 4 * area of 1 triangle
= 2*2 + 4 * 1/2 * 2 * 3
= 4 + 4*3
= 16 yd^2.
i need help 9th grade math
Kim has a piece of fabric that is 1/6 of a meter long. She wants to cut the fabric into 7 equal pieces. How long,in meter, will each piece of fabric be?
Answer:
0.0238 meter per pieces
Step-by-step explanation:
(1/6)/7=0.0238
For confirmation:-
0.0238*7=0.1666=1/6
Answer:
0.02381m
Step-by-step explanation:
1/6 of a meter is 16.667 cm.
16.667 divided by 7 = 2.381cm
To check: 2.381 x 7 = 16.667 (correct)
2.381 cm in meters is 0.02381 m.
The answer is 0.02381m.
please help me I will give BRAINLY , 5 STARS and a THANKS
Answer:
Step-by-step explanation:
There is only one answer. If you choose an additional one, you will get it wrong.
5m = 2m + 3m
Prove that (1-cos^2 60)(1+cos^2 300)= 2sin^2 120- sin^4 60
PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS!
Answer:
x ≥ 8
(x = 8, 9, or 10)
Step-by-step explanation:
mean = [sum of terms]/[number of terms]
7.5 ≤ (8 + 7 + 5 + 9 + 10 + 7 + 6 + x)/8
7.5 ≤ (52 + x)/8
60 ≤ (52 + x)
8 ≤ x OR
x ≥ 8 OR
x = 8, 9, or 10
In which situation is it BETTER to use a debit card instead of a credit card?A) Jackson does not balance his checking account daily.B) Jena is buying art supplies online for her drawing class.C) Charlie is on a tight budget; so, he can only buy necessary items.D) Jane needs to build up her credit score so that she can purchase a car.Eliminate
PLS answer and explain
Write the expression for the cubic function
A cubic function is one in the form f(x) = ax3 + bx2 + cx + d.
What is the least common multiple of 42 and 32?
Answer:
672
Step-by-step explanation:
Answer:
672
Step-by-step explanation:
Multiples of 32
32, 64, 96, 128, 160, 192, 224, 256, 288, 320, 352, 384, 416, 448, 480, 512, 544, 576, 608, 640, 672, 704, 736, 768
Multiples of 42
42, 84, 126, 168, 210, 252, 294, 336, 378, 420, 462, 504, 546, 588, 630, 672, 714, 756, 798
What value of k makes the following equation true?
k/3= 36
Answer:
k=108
Step-by-step explanation:
Your equation is k divided by three equals thirty six, since youre dividing in youre equation you would just multiply to undo the divison. So, 36 time 3 equals 108, and if youre not sure about youre answer you can plug in 108 to your equation, so 108/3=36 this is true so you know your answer is true. hope this helped:)
Need help ASAP for math
Answer:
1 and 3 are corresponding angles
Answer:
It is Vertical Angles
Step-by-step explanation:
Because they just are because I know what I'm doing
A class consists of 30 students: 12 of them study French, 8 study German, 3 students study both languages, and the remainder of the students do not study a langage. If a student is chosen at random, find the probability that the student studies French given that he or she studies a language. (Can steps be provided too as well pls)
Answer:
The answer and explains are in images
Step-by-step explanation:
If Sandra charges $4.00 for a cup of ice cream and $0.37 for each ice cream, What
function would represent the situation?
Remember it should look like y=mx+b.
The slope of the linear equation is 0.37, then the linear equation will be represented as y = 0.37x + 4.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
If Sandra charges $4.00 for a cup of ice cream and $0.37 for each ice cream. Then the linear equation is given as
[tex]\rm y=mx+c[/tex]
We have
m = $0.37
c = $4
Then the linear equation will be
y = 0.37x + 4
More about the linear system link is given below.
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Please help, I will give brawny, I need to know how to do this
If 5 boxes cost $10, what is the cost for 3 boxes?
A. $2
B. $15
C. $6
D. $30
Answer:
C. $6
Step-by-step explanation:
$ 10 / 5 box * 3 box = $6
Answer:
D $6
Step-by-step explanation:
hope this helps pls mark as brainliest
one way to arrange the data in a set of columns and rows is called
Answer: one way to arrange the data in a set of columns and rows is called a table
Step-by-step explanation:
The rows go across and columns go down
i need help with what is x 4x=20
Answer:
5
Step-by-step explanation:
You are looking for x so what you are really looking for is what times 4 =20 and that is 5.
5x4=20
Answer:
Divide each term in 4x = 20 by 4 and simplify.
X=5
Evaluate
(
3.5
×
10
−
4
)
−
(
7.63
×
10
−
6
)
Give your answer in standard form to 2SF
Answer:
=0.000342
Standard form is 3.4237×10[tex] {}^{-4} [/tex]
Step-by-step explanation:
------------------
328+5784-56+586-6432+86
Answer:
296
Step-by-step explanation:
328+57843=6112
56 + 586=642
6432+86=6518
BUT ADD THEM ALL UP YOU GET 296
IM NOT SURE I UNDERSTAND HELP
Answer:
Mixed Numbers
Step-by-step explanation:
It would be this because they contain decimals.
Answer: Irrational numbers
Step-by-step explanation: Not integer or whole numbers. They have e the symbols of irrational numbers, they are not simple fraction either
The center of a hyperbola is located at the origin. one focus is located at (0, 20), and its associated directrix is represented by the line y = . what is the equation of the hyperbola? = 1 = 1 = 1 = 1
The equation of the hyperbola is D. [tex]y^2/16^2-x^2/12^2=1[/tex]
Calculations and Parameters:Given that the focus is at (0, 20)
Directrix is y= -256/20
What is the relation between a, b, and c?
[tex]a^2 +b^2 = c^2\\b^2 + (16)^2= (20)^2\\b^2= 400 -256\\b^2= 144[/tex]
b= 12
Making use of the vertices, foci, asymptotes, directrices, and standard equation, we find the equation of the hyperbola is [tex]y^2/16^2-x^2/12^2=1[/tex]
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Answer:
D
Step-by-step explanation:
Mr silva bought five watermelons for a school party. Each watermelon weighs 9 kilograms. How many grams do all 5 watermelons weigh?
Answer: 45000g
Step-by-step explanation:
Total no of watermelons - 5
Weight of each - 9 Kg
Therefore quantity of 5 such watermelons -5x9 =45 kg
1 kg=1000 g
45x1000
45000 grams
Which graph best represents a system of equations that has no solution?
Answer:
um i think no.C but don't know how to explain
Answer:
C
Step-by-step explanation:
C, because there ain't no lines intercepting on graph c