Answer: The height of the tree is 21 feet.
Step-by-step explanation:
Here we can assume that the angle at which the sun impacts the photographer and the tree to be the same angle.
Then we can think in both cases as triangles rectangles, where the height is a cathetus, and the shadow is the other cathetus.
Then we will have a relationship like:
Tg(angle) = shadow/height
height = shadow/Tg(angle)
Now, because for both triangles we have the same angle, then Tg(angle) will be the same number for both cases, and we can just think of it as constant K
Tg(angle) = K
Then we have the equation:
Height = Shadow/K
We know that the photographer is 6ft tall, and his shadow is 2 ft long, we can replace those two things in the above equation and find the value of k:
6ft = 2ft/K
K = 2ft/6ft = (1/3)
Now we know that the shadow of the tree is 7ft long, then the height will be:
height = 7ft/(1/3) = 7ft*3 = 21ft
The tree is 21 ft tall.
how do you do the area model of 431x12
Answer:Its not in area model but I tried my best and wrote it in standard algorithm hope this works for you.
Step-by-step explanation
431
x 12
8624310 = 5,172
In which of the following expressions is 5 a coefficient?
Answer:
5y+4z
Step-by-step explanation:
A coefficent is a numerical or constant quantity placed before and multiplying the variable in an algebraic expression
Nelson and 3 friends rent a bounce house. It cost $50 for setup and $30 per hour. If they all split the cost, how much will each pay if they rent the bounce house for 5 hours? ( HOW DID YOU GET THE ANSWER?)
A. 50
B. 3 25/5
C. 3
D. 22
Answer:
A: 50
Step-by-step explanation:
because its 50$ for setup and 30 each hour for 5 hours. so 30x5=150 +50 = 200÷ nelson and 3 friends =50$ each
Answer:
Step-by-step explanation:
I did it wrong rip
Javon is 15 years old. His sister is 6 years older than 1/3 his age how old is javons sister
Answer=
Jovan is 15 years old. His sister is 6 years older than 13 his age.
How old is Jovan’s sister?
Step-by-step explanation:
15-6/ 1/3=13 years old
WHAT IS "K"
310 minus (30 times 7) = 5 times k
Answer:
k = 20
Step-by-step explanation:
310-(30x7) = 5k
310-210=5k
100=5k
/5 /5
20=k
Using the segment addition postulate, find the value of x.
HI = 6x + 8
DJ = 2x - 4
HJ = 124
a. 15
b. 16
c. 9
d. 14
Answer:
A. 15
Step-by-step explanation:
The segment addition postulate states that the lengths of the pieces of a segment will add up to the length of the entire segment.
Using the segment addition postulate, The value of x is 15.
What is segment addition postulate?The segment addition postulate states that the lengths of the pieces of a segment will add up to the length of the entire segment.
WE have been given the following parameters;
HI = 6x + 8
DJ = 2x - 4
HJ = 124
Then by using the segment addition postulate,
HI + DJ + HJ
(6x + 8) +(2x - 4) = 124
8x + 4 = 124
8x = 120
x = 15
(6x + 8) = 6(15) + 8 = 78
(2x - 4) = 2(15) -4 = 20
Therefore, the value of x is 15.
Learn more about the segment addition postulate,
https://brainly.com/question/17259950
#SPJ2
Fine the equation of the line through (o, -3) perpendicular to y =4x+4
Answer:
The equation of the line is [tex]y = -\frac{x}{4} - 3[/tex]
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
[tex]y = mx + b[/tex]
In which m is the slope and b is the y-intercept(the value of y when x = 0).
Perpendicular lines:
If two lines are perpendicular, the multiplication of their slopes is -1.
Line perpendicular to y = 4x + 4.
This line has slope 4, so our line will have slope:
[tex]4m = -1[/tex]
[tex]m = -\frac{1}{4}[/tex]
So
[tex]y = -\frac{x}{4} + b[/tex]
Through (0, -3)
This means that [tex]b = -3[/tex]
So
[tex]y = -\frac{x}{4} - 3[/tex]
A keyboard that costs $475 is marked down 15% for a sale. What is the reduced price of the keyboard?
Answer:
71.25
Step-by-step explanation:
solve log4(x + 20) = 3
Answer:
Algebra Examples Rewrite log4(x+20)=3 log 4 ( x + 20 ) = 3 in exponential form using the definition of a logarithm. If x and b are positive real numbers and b ≠ 1 , then logb(x)=y log b ( x ) = y is equivalent to by=x b y = x .
Step-by-step explanation:
Amy, Rick, and Nisha are investing in three different types of stocks. What type of stock is each person Investing in?
Amy invests in shares that won't be affected
by exchange rate fluctuations.
As a part of Rick's full-time benefits package,
he can invest in compally stock.
Nisha needs to research the political situation in a
specific country before she purchases stock.
employer stock
international stock
Answer: Amy = domestic stock
Rick = Employer stock
Nisha = International stock
Step-by-step explanation:
Amy invests in shares that won't be affected by exchange rate fluctuations. This shows that the stock that Amy invested in is a domestic stock. These are the stocks that are usually sold by companies in the home country.
As a part of Rick's full-time benefits package, he can invest in compally stock. This shows that Rick invested in the employer stock.
Nisha needs to research the political situation in a specific country before she purchases stock. Nisha invested in an international stock.
Graph the line that passes through the points (- 7, 9) and (2, - 9) and determine the equation of the line.
plz help plz i dont know
Answer:is the secend one
Step-by-step explanation:this is easy you just have to find the points
Answer:
(2,5) (6,9) (7,2)
Step-by-step explanation:
the first number is the x and the second number is the y
The line segment shown is rotated 90° clockwise about the origin. What are the new coordinates of point B?
A) (3,-4)
B) (-3,4)
C) (-4,3)
D) (-4,-3)
This is due in 20 minutes I need a good grade
Answer:
increase by 25 percent
Step-by-step explanation:
(50-40)/40 × 100%=25%
Answer:
increase by 25%
Step-by-step explanation:
10/40 × 100 = 25
Combine the like terms To write an equivalent expression, and then substitute x=2 in both expressions to prove they are equivalent. 3x-6+4x+7-2x what is the value of each expression? Please help ASAP!!
Answer:
11
Step-by-step explanation:
3x-6+4x+7-2x
3x+4x-2x+7-6
7x-2x+1=5x+1
3x-6+4x+7-2x=5x+1 substitute all X's for two and get 3(2)-6+4(2)+7-2(2)=5(2)+1
6-6+8+7-4=10+1
11=11
Which value for □ will make the equation true? 12+(6×□)=72
Answer:
i think its 30.
Step-by-step explanation:
Brainliest?
Answer:
eiuofj9ersiopg8ju9iorsudfheutwisrhdfgtu8isrehdtjgf8u9ihserjdfc
Step-by-step explanation:
Fifteen more than three times a number is at most seven.
Answer: 3n + 15 ≤ 7
n = number
hope this helped! :D
A student has 30 homework questions to complete. Before basketball practice, the student completes 2/5 of the homework questions. How many questions did the student complete before basketball practice?
Answer:
12 home work
Step-by-step explanation:
Step one:
given data
A student has 30 homework questions to complete
the student completes 2/5 of the homework questions.
Required
The number of completed homework
Step two:
The number of completed homework= 30*2/5
The number of completed homework= 60/5
The number of completed homework= 12
If a student pours 19 1/4 cups of lemonade into containers that hold 3 1/2 cups each, how many containers can the student fill
Answer:
The student will be able to fill 5 1/2 cups of lemonade.
Step-by-step explanation:
can i get brainliest plz
Answer:
you could fill 5 1/2 cups.
Step-by-step explanation:
19 1/4 divided by 3 1/2 is 5 1/2
Pls will brainlest for the right answer
How many hundredths is equivalent to 6/10?
Answer:
60/100
Step-by-step explanation:
You need to have the denominator set to 100. So multiply the denominator by 10, but whatever you do the denominator, you have to do to the numerator. So multiply the numerator by 10 too.
An entry level civil engineer's annual pay is $63,648 based on 52 weeks per year. Due to the economy, his company is having to cut back on the number of weeks that it
employs its civil engineers. If the firm cuts the work year to 50 weeks but keeps the same rate of pay, how much should the civil engineer expect his annual pay to
decrease? Round your answer to the nearest dollar.
Answer:
$2448 in a year
Step-by-step explanation:
$63,648 ÷ 52 = $1224 a week (this would be how much he earns per week)
Since he is not getting paid for two week we do 52 - 2 = 50 week of work.
Since per week salary is $1224 we multiply by 2 for two weeks = $2448
Before $63,648 - $2448 = $61200 per year (Now he's making $61200/year)
Hope this helps,
if so please mark Brainlist,
Thanks!
A bag contains counters that are red, black , or green . 1/3 of the counters are red 1/6 of the counters are black There are 15 green counters in the bag. How many black counters are in the bag ?
Answer:
There are 5 black counters in the bag.
Step-by-step explanation:
15 green counters in the bag
The proportion of green counters is given by:
[tex]p = 1 - (\frac{1}{3} + \frac{1}{6}) = 1 - (\frac{2}{6}+\frac{1}{6}) = 1 - \frac{3}{6} = 1 - \frac{1}{2} = \frac{2}{2} - \frac{1}{2} = \frac{1}{2}[/tex]
So, we have that, the total is x. So
[tex]\frac{x}{2} = 15[/tex]
[tex]x = 30[/tex]
There are 30 total counters.
How many black counters are in the bag ?
A sixth of the counters are black. So
[tex]\frac{1}{6} \times 30 = \frac{30}{6} = 5[/tex]
There are 5 black counters in the bag.
PLEASE HELP QUICK!!!!
Answer:
I think it's d, but it could also be b. I'm sorry if I'm wrong!
Step-by-step explanation:
State YOUR thoughts/reactions
WRITE AT LEAST 4 COMPLETE SENTENCES IN PARAGRAPH FORMAT.
When Saul died, David was crowned king. David united the tribes and continued the fight against the Philistines and other enemies. He captured Jerusalem and made it his capital, starting its transformation into one of history’s most important cities.
David’s son Solomon inherited a peaceful kingdom. He built a great stone temple in Jerusalem. Solomon’sTemple became the focus of religious life. Solomon used trade and taxes to fund other huge building projects. However, most of the tax burden fell on the northern tribes, who came to resent Solomon’s
Answer:
All you have to do is write how you feel about this it's simple :|
Step-by-step explanation:
Which region represents the solution to the given system of inequalities?
A
B
C
D
which of the following is not used as a depth cue by the virtual system?
-size
-priming
-interposition
-distance
Answer:
-priming is not used..... is answer
Step-by-step explanation:
I hope it's helpful!
how many hours is 4,480 minutes.
Answer:74.67
Step-by-step explanation:There ya go :>
Simplify;
l
81
-5/4
!
256
Answer:
It's simple
Step-by-step explanation:
See what I did there? Simple?
A rectangular turf of size 20 feet by 30 feet is surrounded by a flower bed of uniform width
all around. The total area of the turf and the flower bed is 1200 sq.ft. What is the width of the
flower bed? Show your work algebraically.(4 points)
2) You are running a concession stand at a basketball game. You are selling hot dogs and
Answer:
5 ft
Step-by-step explanation:
Total area of turf and flower bed is [tex]1200\ \text{ft}^2[/tex]
Turf dimensions is 20 feet by 30 ft
Area of turf = [tex]20\times 30=600\ \text{ft}^2[/tex]
Area of flower bed = [tex]1200-600=600\ \text{ft}^2[/tex]
Let [tex]x[/tex] be the width of the flower bed so area of flower bed is
[tex]2\times 30x+2(20+2x)x=600\\\Rightarrow 30x+20x+2x^2=300\\\Rightarrow 2x^2+50x-300=0\\\Rightarrow x^2+25x-150=0\\\Rightarrow x=\dfrac{-25\pm \sqrt{25^2-4\times \:1\times \left(-150\right)}}{2\times \:1}\\\Rightarrow x=5,-30[/tex]
So, width of the flower bed is 5 ft.
