The drawing at the right shows a person,
5 feet tall, casting a shadow 3 feet long.
The tree is casting a shadow 15 feet long.
How tall is the tree?
Answers
Answer:
I would say the tree is 18 feet tall
Answer: 25 feet tall
Step-by-step explanation:
First, let's take a look at the person. If they are 5 feet tall and cast a shadow of 3 feet, we can easily convert this into a proportion: 5 feet tall: 3 feet shadow.
Continuing with this method, we can convert the tree into a proportion: x feet tall: 15 feet shadow.
So, 5:3=x:15. Mathematically, think of it as 5/3=x/15.
To find x, you will need to multiply 15 to both sides, or perform cross multiplication. (5/3)(15)=(x/15)(15). This will equal 25. The tree is 25 feet tall.
Related Questions
a contracter charges 1,200 for 1,100 square feet installed? It costs$ to have 1,100 feet
Answers
Answer:
$1,200
Step-by-step explanation:
write in slope-intercept form 3x-9=7y+8
Answers
Answer:
y = 3 /7 x − 17 /7
Step-by-step explanation:
What is the value of the expression below?
Answers
Answer:
-19
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define Expression
3² + (9 - 16)(4)
Step 2: Evaluate
Exponents: 9 + (9 - 16)(4)(Parenthesis) Subtract: 9 + (-7)(4)Multiply: 9 - 28Subtract: -19Answer:
Step-by-step explanation:
BODMAS=bracket
O=of
D=division
M=multiplication
A=addition
S=subtraction
3*3=9
9+(9-16)(4)
9+(7)(4)
9-28
-19
Given that x² -x -2 is a factor of x³ +3 x² +ax +b, calculate the values of a and b and hence find the remaining factor.
Answers
Answer:
[tex]a = -6, b = - 8[/tex]
Remaining factor = [tex]x+4[/tex]
Step-by-step explanation:
Given that:
Two polynomials:
[tex]x^{2} -x-2[/tex] and [tex]x^3 +3 x^2 +ax +b[/tex]
[tex]x^{2} -x-2[/tex] is a factor of [tex]x^3 +3 x^2 +ax +b[/tex].
To find:
The values of [tex]a[/tex] and [tex]b[/tex] from the cubic equation and the remaining factor.
Solution:
Let us first of all, factorize [tex]x^{2} -x-2[/tex].
[tex]x^{2} -2x+x-2=0\\\Rightarrow x(x-2)+1(x-2)=0\\\Rightarrow (x+1)(x-2)=0\\\Rightarrow x = -1, 2[/tex]
There are two factors of the given quadratic equation.
These two factors must also be factors of the cubic equation as well.
Putting [tex]x = 2[/tex]:
[tex]2^3 +3 \times 2^2 +a\times 2 +b =0\\\Rightarrow 2a+b=-20 ..... (1)[/tex]
Putting [tex]x = -1[/tex]:
[tex](-1)^3 +3 \times (-1)^2 +a\times (-1) +b =0\\\Rightarrow -a+b=-2 ..... (2)[/tex]
Subtracting (2) from (1):
[tex]3a = -18\\\Rightarrow a = -6[/tex]
From equation (1):
[tex]2\times (-6) + b=-20\\\Rightarrow b = -8[/tex]
Putting the values of [tex]a[/tex] and [tex]b[/tex] in the cubic equation, we get:
[tex]x^3 +3 x^2 -6x -8[/tex]
Dividing the cubic equation with quadratic, we get:
[tex]\dfrac{x^3 +3 x^2 -6x -8}{x^{2} -x-2} = x+4[/tex]
A feather fell from a bird's nest in a tree from a height of 25 feet. The leaf fell at a speed of 3 feet per second. Choose all the equations below that correctly describes the relationship between t, the time in seconds, and h, the feathers height in feet?
A) h=25-3t
B) h=3t-25
C) h=-3t-25
D) h+3t=25
Answers
Answer:
A and C
Step-by-step explanation:
Find the unit rate
a. 5 movie tickets for $25.00
b. mowed 5 yards for $35.00
c. 6 calculators cost $240.00
d. 8 dollars for 2 cans of tuna
Answers
Answer:
A. $5
B. $7
C. $40
D. $4
Step-by-step explanation:
To find the unit rate, you need to divide the cost by the amount.
A. $25/5 = $5 for a movie ticket
B. $35/5 = $7 for one yard
C. $240/6 = $40 for a calculator
D. $8/2 = $4 for a can of tuna
write-2.16 as a fraction asap!!!!1m
Answers
Answer:
-2 wholes 4/25
Step-by-step explanation:
I used calculator. btw its -2 4/25
hope this helps! mark as brainliest!
Answer:
-2 4/25
Step-by-step explanation:
Simplify the Expression(20 points)-
-m - 7m
Answers
Answer:
-8m
Step-by-step explanation:
Combine like terms
−
−
7
{\color{#c92786}{-m}}{\color{#c92786}{-7m}}
−m−7m
−
8
{\color{#c92786}{-8m}}
−8m
Which number is a solution of the inequality? 8
Answers
Answer:
i need more info or i cannot help
Answer: -1
Step-by-step explanation:Solve: 8(7−x)<64.Divide both sides by 8.7−x<6487−x<8Subtract 7 from both sides.−x<8−7−x<1Multiply both sides by −1. This will reverse the inequality.x>−1
Which ordered pair does NOT represent a point located in IV Quadrant ?
A (0.001, -0.001)
B (0, -5)
C (0.5, -8.75)
D (9, 999, -9, 999)
Answers
Answer:
B
Step-by-step explanation:
If a point is on the line of origin it doesn't count as being in any quadrant.
A jar contains 42 red marbles numbered 1 to 42 and 36 blue marbles numbered 1 to 36. A marble is drawn at random from the jar. Find the probability of the given event. Please enter reduced fractions. (a) The marble is red. P(red)= Correct (b) The marble is odd-numbered. P(odd)= Correct (c) The marble is red or odd-numbered. P(red or odd) = Incorrect (d) The marble is blue or even-numbered. P(blue or even) =
Answers
Answer: See explanation
Step-by-step explanation:
Number of red marbles = 42
Number of blue marbles = 36
Total number of marbles = 42 + 36 = 78
There are 21 odd numbers between 1 - 42.
There are 18 odd numbers between 1 - 36.
(a) Probability that the marble is red will be:
P(red)= 42 / 78 = 7 / 13
(b) Probability that the marble is odd-numbered will be:
= 39 / 78 = 1/2
(c) Probability that the marble is red or odd-numbered will be:
P(red or odd) = P(red) + p(odd) - P(odd and red)
= (42/78) + (39/78) - (21/78)
= 60/78
= 10/13
(d) Probability that the marble is blue or even-numbered.
= P(blue) + P(even) - P(blue and even)
= 36/78 + 39/78 - 18/78
= 57/78
= 19/26
Please help me with this homework
Answers
Answer:
your x's will be -2, -1 , 0 , 1, 2
and your y's will be -5, -2, 1, 4, 7
Please help and give details :)
Answers
7x+4y-28=0 is the answer
(29-(-7):
= =a
Look at picture
Answers
Answer:
Four
Step-by-step explanation:
29 plus 7 = 36 divided by 4= 9
1. Sherrys age is nine less than six times Fred's age. Write an equation and find Sherrys age if Fred is ten years old.
2. A bicycle was originally priced at $102 and is on sale for 30% off. What is the discounted price?
Answers
Answer:
1. x= 10x6-9 Sherry is 51 apparently
2. $71.40
Step-by-step explanation:
I need help answering that I’m lost and it’s a 3 step problem
Answers
Does anyone know this? Please and ty! This is worth 15 points but please don’t take advantage :(
Answers
Answer:
A
Step-by-step explanation:
If you were to dilate a point by a scale factor of 2, then if you have the point (-4,0), both the x value and the y value would be multiplied by 2, giving a coordinate of (-8,0). If you do this to the other point, you get (0,4).
Now graph it out, and you get a parallel line that is not right on top, eliminating answer B. It's not C because it is parallel, not intersecting. And it's not D because they are related, they're parallel.
Hope this helps!
What is 2x2 plus 3 times y and it equals b?
Answers
Answer: The answer is 7-b=-y
Step-by-step explanation: You subtract b from one side to the other, and then do the same with y
Who can answer my question in square LMNO find the length of LM
Answers
Answer:
10 units
Step-by-step explanation:
LMNO is a square.
All sides of square are equal
MN = LM
3x + 1 = x + 7
3x - x = 7 - 1
2x = 6
x = 6/2
x = 3
LM = x + 7 = 3 + 7 = 10
LM = 10 units
13. A quadratic function passes through the points (0,5), (2,3), and (3,5). Which
function represents the same relationship?
A h(I) = x2 + 3x + 5
B h(x) = x2 – 3x + 5
C h(c) = -3x2++5
D h(c) = x2
= 2 + 5x - 3
Answers
Answer:
B
Step-by-step explanation:
HELP!! (20-30 points) and brainlist
Answers
Answer:
82.8
Step-by-step explanation:
Formula
multiply the length value by 36
Estimate by rounding the divisor to the nearest tens place and the dividend to the nearest
compatible number. Then find the quotient.
Enter the remainder, if any, as a fraction in simplest form.
59 ) 5,613
The estimate is?
The quotient is?
Answers
Answer:
lil mosey
Step-by-step explanation:
Write the expanded form of the expression
r(−3−5t)
Answers
Help please true or false?
Answers
Samantha created part of a table to show her savings. She saved at the same rate each week. Which graph shows this relationship?
Answers
Answer:
The answer is B
Step-by-step explanation:
because it is going up by 6 so graph B is the only graph going up by 6.
The correct graph is with $6, $12, $18, $24.
What is Graph?The graph is simply a structured representation of the data. It aids in our comprehension of the data. The numerical information gathered through observation is referred to as data.
In a line graph, the information or data is represented as a series of markers, or dots, and is then connected to one another by a straight line.
Usually, data that varies over time is represented with a line graph.
Given:
As, from the given graph
The saving increases each week at the same rate therefore saving increases from 3rd to 4th week is 6$. this means that saving increases $6 each week.
Hence, option to is correct with $6, $12, $18, $24.
Learn more about graph here:
https://brainly.com/question/17267403
#SPJ6
What is 5[cos(Pi/4) + I sin (pi/4)] raised to the 3rd power?
Answers
Answer: The answer is C on edge
Step-by-step explanation:
An athlete runs 8 miles in 50 minutes on a treadmill at this rate how long will it take the athlete to run 9 miles
Answers
Answer:
56.25 minutes
Step-by-step explanation:
1 mile is 6.25 minutes
9 miles is _____?
6.25 minutes x 9 miles =
56.25 minutes
Find Unit Rate to help solve
Hope this helps :)
Solve the equation.
–2x – 18 = 6
A. -12
B. -3
C. -2
D. 6
Answers
Answer:
-12
Step-by-step explanation:
Step 1: Add 18 to both sides.
−2x−18+18=6+18
−2x=24
Step 2: Divide both sides by -2.
−2x
−2
=
24
−2
x=-12
Answer:
-2x -18=6
+18. +18
-2x=24
÷-2. ÷-2
×= -12
what is 7/10 divided by 6 to the second power?
Answers
Answer:0.01944444444 if it is like that then there is going to be a line above 4 for repeating.
Step-by-step explanation:
please let me know if this helps I had questions like this but I don't know if that what they are asking for you to do too! have a great day and I dont mean to be greedy but may i please have BRAINLIEST?
z=32+41.9i
What are the real and imaginary parts of z?
--------------------------------------------------------------
A. Re(z) = 32 and Im(z) = 41.9
B. Re(z) = 32 and Im(z) = 41.9i
C. Re(z) = 41.9i and Im(z) = 32
D. Re(z) = 41.9 and Im(z) = 32
Answers
The real part of a complex number z=a+bi is ‘a’, and the imaginary part is ‘b’