A hiker wants to determine the height of a tree. She measures the tree shadows to be 17.1 m long her own shadow at the same time is 1.8 m long the hiker is 1.7 m tall how tall is the tree
Answers
x/17.1 = 1.7/1.8
x = 17.1*1.7 /1.8
Height of tree = 16.15 m
Related Questions
plssssssssssssssssssssssssssssssssssssssssssssss
Answers
Answer:
34 hours
Step-by-step explanation:
Lets call M the number of hours that Maddie volunteered. Ryan volunteered 1 + 3×M hours, and altogether they volunteered 45 hours, so:
1 + 3×M + M = 45
1 + 4M = 45 Subtract 1 in both sides
4M = 44 Divide both sides by 4
M = 11 hours
So Maddie volunteered 11 hours, and Ryan volunteered
1 + 3×11 = 34 hours
X^5-2x^4-24x^3=0. solve by factoring
Answers
x^3(x^2 - 2x - 24) = 0
x^3(x - 6)(x + 4) = 0
x^3 = 0, x = 0
x - 6 = 0, x = 6
x + 4 = 0, x = -4
Solution: x = 0, -4, 6
Answer:
1. x=6
2. x = -4
3. x³ = 0
Step-by-step explanation:
Step 1: Equation at the end of step 1
((x⁵) - ( 2 · (x⁴)))-(2³· 3x³) = 0
Step 2:
Equation at the end of step 2:
((x⁵)-2x⁴)-(2³ · 3x³) = 0
Step 3: X
Step 4: Pulling out like terms
Pull out like factors :
x⁵ - 2x⁴ -24x³ = x³· (x² - 2x -24)
Trying to factor by splitting the middle term
Factoring x² -2x - 24
The first term is, x² ts coefficient is 1 .
The middle term is, -2x its coefficient is -2 .
The last term, "the constant", is -24
Step-1 : Multiply the coefficient of the first term by the constant 1 • -24 = -24
Step-2 : Find two factors of -24 whose sum equals the coefficient of the middle term, which is -2 .
-24 + 1 = -23
-12 + 2 = -10
-8 + 3 = -5
-6 + 4 = -2 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -6 and 4
x2 - 6x + 4x - 24
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-6)
Add up the last 2 terms, pulling out common factors :
4 • (x-6)
Step-5 : Add up the four terms of step 4 :
(x+4) • (x-6)
Which is the desired factorization
Equation at the end of step
4
:
x3 • (x + 4) • (x - 6) = 0
STEP
5
:
Theory - Roots of a product
5.1 A product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.
Solving a Single Variable Equation:
5.2 Solve : x3 = 0
Solution is x3 = 0
Solving a Single Variable Equation:
5.3 Solve : x+4 = 0
Subtract 4 from both sides of the equation :
x = -4
Solving a Single Variable Equation:
5.4 Solve : x-6 = 0
Add 6 to both sides of the equation :
x = 6
Supplement : Solving Quadratic Equation Directly
Solving x2-2x-24 = 0 directly
Earlier we factored this polynomial by splitting the middle term. let us now solve the equation by Completing The Square and by using the Quadratic Formula
Parabola, Finding the Vertex:
6.1 Find the Vertex of y = x2-2x-24
Parabolas have a highest or a lowest point called the Vertex . Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) . We know this even before plotting "y" because the coefficient of the first term, 1 , is positive (greater than zero).
Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.
Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.
For any parabola,Ax2+Bx+C,the x -coordinate of the vertex is given by -B/(2A) . In our case the x coordinate is 1.0000
Plugging into the parabola formula 1.0000 for x we can calculate the y -coordinate :
y = 1.0 * 1.00 * 1.00 - 2.0 * 1.00 - 24.0
or y = -25.000
Parabola, Graphing Vertex and X-Intercepts :
Root plot for : y = x2-2x-24
Axis of Symmetry (dashed) {x}={ 1.00}
Vertex at {x,y} = { 1.00,-25.00}
x -Intercepts (Roots) :
Root 1 at {x,y} = {-4.00, 0.00}
Root 2 at {x,y} = { 6.00, 0.00}
Solve Quadratic Equation by Completing The Square
6.2 Solving x2-2x-24 = 0 by Completing The Square .
Add 24 to both side of the equation :
x2-2x = 24
Now the clever bit: Take the coefficient of x , which is 2 , divide by two, giving 1 , and finally square it giving 1
Add 1 to both sides of the equation :
On the right hand side we have :
24 + 1 or, (24/1)+(1/1)
The common denominator of the two fractions is 1 Adding (24/1)+(1/1) gives 25/1
So adding to both sides we finally get :
x2-2x+1 = 25
Adding 1 has completed the left hand side into a perfect square :
x2-2x+1 =
(x-1) • (x-1) =
(x-1)2
Things which are equal to the same thing are also equal to one another. Since
x2-2x+1 = 25 and
x2-2x+1 = (x-1)2
then, according to the law of transitivity,
(x-1)2 = 25
We'll refer to this Equation as Eq. #6.2.1
The Square Root Principle says that When two things are equal, their square roots are equal.
Note that the square root of
(x-1)2 is
(x-1)2/2 =
(x-1)1 =
x-1
Now, applying the Square Root Principle to Eq. #6.2.1 we get:
x-1 = √ 25
Add 1 to both sides to obtain:
x = 1 + √ 25
Three solutions were found :
x = 6
x = -4
x3 = 0
suppose that a and b are rational numbers. which expression is equivalent to a - b?
A. a+b
B. -a + b
C. a + (-b)
D. -a + (-b)
please help! due today
Answers
Answer: Its a
Step-by-step explanation:
The inequality 2x+1>15 will be true when
1. x=7
2. x=0
3. x=10
4. x=5
Answers
Answer:
3.) x = 10
Step-by-step explanation:
Let’s plug it into our equation
2(10) + 1 = 21
21 is greater than 15
Simplify 14 to the fifteenth power over 14 to the fifth power.
Answers
Answer:
4^10
subtract 15-5 and leave the 14 be
Answer:
14 to the tenth power
Step-by-step explanation:
fifteen - fifth = ten. When you are working on exponential problems like this, remember to add or subtract the powers.
Which of the following is a polynomial?
A.
(x - 2)
(x4 +3)
B. X2 - 1
C. A + x 4 + 16
D. 1/x +2
Answers
Answer:
A, B, C
Step-by-step explanation:
Assuming the choices are:
A. [tex](x-2)(x^{4}+3)[/tex]
B. [tex]x^{2} -1[/tex]
C. A+[tex]x^{4} +16[/tex]
D. [tex]\frac{1}{x} +2[/tex]
Put simply, a polynomial in this case will be a function that has at least one variable raised to a power greater than 1.
Choice A already has a variable raised to a power greater than 1 ([tex]x^{4}[/tex]), so no additional manipulation is needed.
Choice B also has a term that is already raised to a power greater than 1 ([tex]x^{2}[/tex]). It is the same for choice C ([tex]x^{4}[/tex]).
Choice D does not have an obvious variable raised to a power greater than 1. When the equation is manipulated it becomes [tex]x^{-1} +2[/tex]. Since -1 is less than 1, choice D is not a polynomial.
Answer:
Option D
Step-by-step explanation:
[tex]\\ \sf\longmapsto \dfrac{1}{x}+2[/tex]
Simplify
[tex]\\ \sf\longmapsto x^{-1}+2[/tex]
Degree is less than 1 .It's not a polynomial
Plz help ASAP will mark branliest
Answers
Step-by-step explanation:
Consider that:
[tex](f/g)(x) = f(x) / g(x)\\(f - g)(x) = f(x) - g(x)[/tex]Fill in the blanks
Row 1 ⇒ 2 and -5
(-1)*(-2) = 2Solve using two values:
f(x) - g(x) = - 10 and f(x)/g(x) = - 1 ⇒ f(x) = -g(x), substitute into first-2g(x) = - 10 ⇒ g(x) = 5 and f(x) = - 5Row 2 ⇒ -5 and 5
- 2 - 3 = - 5g(x) = 5 (see above solution)Row 3 ⇒ - 6 and 4
-10 - (-4) = - 62 - (-2) = 4Row 4 ⇒ -6/7 and 2/5
-6/7-2/-5 = 2/5A farmer rotates wheat, corn, and soybean crops on her farm the farmer produces 293 bushels of produce and sells them for a total of $1,557
Answers
The average amount earned based on the information given is $5.31 per product.
Number of farm products = 293
Total amount earned = $1557
Therefore, the average amount will be gotten by dividing the total amount by the number of farm products and this will be:
= $1557/293
= $5.31
In conclusion, the average will be $5.31.
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here does the line y = 2x + 7 cross the y-axis?
at x = 7
at y = 2
at x = 2
at y = 7
Answers
Answer:
at y = 7
Step-by-step explanation:
When the line cross at the y-axis, x = 0
y = 2*0 + 7
y = 0 +7
y = 7
i cant tell what the question is supposed to mean but if you looking for the y-intercept its 7
5 litres into grams.
Answers
Step-by-step explanation:
Do like this only with no. mark me as brainliest answer
Answer:
Weight in Grams of:
Water Cooking Oil
5,000 g 4,400 g
Step-by-step explanation:
Hope this helps
-6+6y^2 FACTORIZE AND EXPLAIN THROUGHLY
Answers
Answer:
like 6 is the factor in both monomials then you can factor like this
6(y^2-1)
Answer:
-6(1-y)(1+y)
Step-by-step explanation:
-6+6y² Factor out -6 from the expression
-6(1-y²) Use a²-b²=(a-b)(a+b) to factor the expression
-6(1-y)(1+y)
What is 30 divided by 4? Show your work and explain.
Answers
Answer:
7.5
30
÷
4
__
7.5
4×6=24
4×7= 28
4×8= 32
4×8= X
4×7.5= 30
Match the pairs of equivalent expressions.
Answers
i would say y + 2/5y is the equivalent expression of 7/5y and y - 2/5y is the quivalent expression of 3/5y but im not sure
Marci and Levi add 113.5 + 22.41
If the whole numbers are added, the sum would be
Answers
Answer:
113 + 22 = 135
113.5 + 22.41 = 135.91
The answer would be 135.91
Step-by-step explanation:
NEED SOME HELP HERE answer
Answers
Answer:
C, move (translate) 5 units left
Step-by-step explanation:
Sliding or moving is called translating, and MATH is to the right of M'A'T'H' (prime), so translate 5 units left.
please help me fast with explanation
Answers
Answer:
1. Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10. The sign of the exponent will depend on the direction you are moving the decimal. 4.8×10−23
2. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
3.888×10^10
3.The sign of the exponent will depend on the direction you are moving the decimal.4.2×10−3
Just use the same explanation in number 1 to get the right answer.
A bowling ball and a balloon might have the same _____ , but a different _____ .
Mass, volume
Weight, density
Volume, mass
Density, weight
Answers
Answer:
Volume, Mass
Step-by-step explanation:
Mass is how much stuff something is made of. Volume is how much space an object takes up. 1.
Anyone know this?I need helppp
Answers
Answer:
nope sorry
Step-by-step explanation:
Can someone help me plz!!
Answers
Answer:
C
Step-by-step explanation:
Somebody please help !
Answers
Answer:
Translation
Step-by-step explanation:
Answer:
7 for your x axis and -3 for Y
So your are going from G to H, thats important.
You go to the right seven times and down (hence -3) three times
Evaluate the algebraic expression x + 2y when w = 12, x = 10, y = 5 and z = 9.
A:12
B:17
C:20
D:27
Answers
Answer:
20
Step-by-step explanation:
Plugin x = 10 and y = 5 in the expression.
x + 2y = 10 + 2*5
= 10 + 10
= 20
10+2(5)= 10+10
=20 the answer is C
Evaluate the function when x= -3,0 and 1. Show work H(x) = 2.5x + 7
Answers
Answer:
H(-3)= -0.5
H(0)= 7
H(1)= 9.5
Step-by-step explanation:
For H(-3)
Substitute all of the x into -3
H(-3)=2.5(-3)+7
2.5 times -3 is -7.5
-7.5+7 is -0.5
So the answer for H(-3) is -0.3
For H(0)
Substitute all of the x into 0
H(0)=2.5(0)+7
2.5 times 0 is 0
0+7 is 7
So the answer for H(0) is 7
For H(1)
Substitute all of the x into 1
2.5(1)+7
2.5 times 1 is 2.5
2.5+7 is 9.5
So the answer for H(1) is 9.5
Hope this helps!
there are 4, 6, and 7 points on three lines. How many triangles is it possible to create with given points as vertices?
Answers
4 triangles can be created with 3 points on a line.
20 triangles can be created with 6 points on a line.
30 triangles can be created with 7 points on a line.
Combination has to do with selection.
Note that a triangle has 3 vertices. If there are 4 points on a line, the number of triangles it is possible to create is derived using the combination formula shown as:
[tex]nC_r=\frac{n!}{(n-r)!r!}[/tex]
[tex]4C_3 = \frac{4!}{(4-3)!3!}\\4C_3 =\frac{4\times3!}{3!}\\4C_3=4triangles[/tex]
This means that 4 triangles can be created with 3 points on a line.
For a line with 6 points:
[tex]6C_3 = \frac{6\times 5\times 4\times 3!}{(6-3)!3!}\\6C_3 =\frac{6\times5\times 4\times3!}{3!3!}\\4C_3=20triangles[/tex]
This shows that 20 triangles can be created with 6 points on a line.
For a line with 7 points:
[tex]7C_3 = \frac{7\times 6\times 5\times 4!}{(7-3)!3!}\\4C_3 =\frac{7\times6\times 5\times4!}{4!3!}\\4C_3=30triangles[/tex]
This shows that 30 triangles can be created with 7 points on a line.
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During basketball practice, Rashed made 36 free throws in 3 minutes. How many
free throws will he make in 5 minutes?
Answers
Answer:
60
Step-by-step explanation:
So 36 divided by 3 is 12, and which then, we know that Rashed made 12 free throws in 1 minute, and then when we multiply by 5, we can know the free throws he will make in 5 minutes.
I will give you brainliest if you solve the math question
Answers
Answer:
x=60
y=30
Step-by-step explanation:
Answer:
y=30
x=60
Step-by-step explanation:
An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 23 feet up. The ladder makes an angle of 75^{\circ}
∘
with the ground. Find the length of the ladder. Round your answer to the nearest hundredth of a foot if necessary.
Answers
The length of the ladder that makes an angle of 75 degrees and lies against the wall of a house that's 23 feet tall is approximately 25.88 feet.
The ladder forms a right triangle as it lies against the wall as shown in the image below.
Thus:
x = length of the ladder (hypothenuse)
Reference angle [tex](\theta) = 75^{\circ}[/tex]
25 ft = Opposite
Apply SOH:
Thus,
[tex]sin(\theta) = \frac{Opposite}{Hypotenuse}[/tex]
Plug in the values[tex]sin(75) = \frac{25}{x}\\\\x = \frac{25}{sin(75)} \\\\\mathbf{x = 25.88}[/tex]
Therefore, the length of the ladder that makes an angle of 75 degrees and lies against the wall of a house that's 23 feet tall is approximately 25.88 feet.
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Answer:
x=32.09 feet long
Step-by-step explanation:
How to solve this problem?
Answers
Answer:
x° = 35°
Step-by-step explanation:
at 125° to get the opposite angle
180° - 125° = 55°
then,
x° + 90° + 55° = 180°
x° = 180° - 145°
x° = 35°
Pls help I have 10 minutes
Answers
Answer:
-5p (11p-8p+7p-15p = 4 terms)
100 - 100m 5 terms
-4.1n^3 + 3.6 a^2 + 1.4a. 4 terms
26 x^2y - 22 x y^2. 2 terms (can’t be combine)
Step-by-step explanation:
m_ABC=M_ABD
what is the reason?
Answers
Answer:
M=m and cis equivalent to d
long divison divide 664 and 1600
Answers
Answer:
272, remainder 2
Step-by-step explanation:
Answer:
Step-by-step explanation:
2.41
I got a very long number but then I rounded to the nearest hundreth