Answer:
17 feets 3 inches
Step-by-step explanation:
Given :
Converting the parameters to inches only:
Recall:
1 feets = 12 inches
Man's height : 5 feets 9 inches = (12 *5) + 9 = 69 inches
Man's shadow : 3 feets 6 inches = (12 * 3) + 6 = 42 inches
Tree's shadow : 10 feets 6 inches = (12 * 10) + 6 = 126 inches
(Tree's height / tree's shadow) = (man's height / man's shadow)
Let tree's height = x
x / 126 = 69 / 42
Solve for x
42x = 126 * 69
42x = 8694
x = 8694 / 42
x = 207 inches
207 / 12 = 17 feets 3 inches
Answer:
17.25 ft
Step-by-step explanation:
The figure shows two triangles X Y Z and H R Q. Side X Y has a length of h units, side Y Z has a length of 10 feet 6 inches, angle Y is a right angle. Side H R has a length of 5 feet 9 inches, side R Q has a length of 3 feet 6 inches. Angle R is a right angle.
Let h be the height of the tree.
Convert all measurements to a single unit, inches, using the fact that 1 foot is equal to 12 inches.
ZY=(10⋅12) in.+6 in.
Simplify.
ZY=126 in.
QR=(3⋅12) in.+6 in.
Simplify.
QR=42 in.
HR=(5⋅12) in.+9 in.
Simplify.
HR=69 in.
ZX¯¯¯¯¯ and QH¯¯¯¯¯¯ are parallel because the rays of the Sun that form them are parallel. Therefore, the angles they form with the ground are congruent: ∠Z≅∠Q.
∠Y≅∠R by the Right Angle Congruence Theorem.
Therefore, by the Angle-Angle Similarity △ZXY~△QHR.
Find XY. Set up a proportion with the lengths of the known sides and the unknown length (height of the tree).
ZY/QR = XY/HR
Substitute the values.
126/42=h/69
Cross multiply.
42h=69(126)
Simplify.
42h=8694
Divide both sides by 42.
h=207 in.
Therefore, the height of the tree is 207 in., or 17.25 ft.
A rectangle has a perimeter of 22cm with a length of 10m. What is the width of one side?
Step-by-step explanation:
We know that
1m = 100cm
according to question
perimeter of rectangle = 2 (l+b)
22cm = 2 (100+b)cm
2×(100+b)cm = 22cm
100+b cm = 22/2cm
100+b cm = 11 cm
b = 100 -11 cm
hence, breadth = 89 cm .thanks for ask question.
Help me please! I'm stuck and I need the answer now! Thx so much!
Answer:
34Step-by-step explanation:
Given
z = -3 + 5iConjugate of z is:
z' = -3 - 5iProduct zz' is:
zz' = (-3 + 5i)(-3 - 5i) = (-3)² - (5i)² = 9 - 25(-1) = 9 + 25 = 34If ,
[tex]\bold{z=-3+5i }[/tex]
so,conjugate of z
[tex]\overline{ z }[/tex]=[tex]\bold{-3-5i }[/tex]
Because, in argand plane [tex]\overline{ z }[/tex] is the reflection of z in x-axis.
so,
According to the question,
z[tex]\overline{z}[/tex]=(-3+5i)(-3-5i)
[tex]\bold{(-3)^2-(5i)^2 }[/tex]
[tex]\bold{9-25(-1) }[/tex]
[tex]\bold{ 9+25 }[/tex]
[tex]\bold{ 34 }[/tex]
Can somebody help me with this please
Answer:
Domain: [ 0,∞), {x|x ≥ 0}
Range: (-∞,-4], {yly ≤ -4}
Step-by-step explanation:
I will give brainliest to the correct answer!
the lcm of 22 132 and 253 using prime factorization?
Answer:
3036
multiples of 12 are 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144 and so on,
multiples of 32 are 264, 396, 528, 660, 792, 924, 1056 and so on,
multiples of 253 are 253, 506, 759, 1012, and so on,
Its quite a time consuming process.
when all the numbers eventually meet together that is the answer.
In the figure, AC is perpendicular to DB.
Which of the following statements is TRUE?
Answer:
B. Angle 5 and Angle 6 are complementary
Step-by-step explanation:
Definition of complementary- either of two angles who sum is 90°
As, Line AC and Line DB are perpendicular, Angle DO(the middle point)C is equal to 90°.
Angle DOC = 90°
Angle DOC = Angle 6 + Angle 5
Therefore, Angle 6 + Angle 5 are equal to 90°, so they are complementary.
Good luck!
Find the 35th term in the arithmetic sequence: -10, -14, -18, -22,...
Step-by-step explanation:
-10, -14, -18, -22,...
[tex]a1 = - 10 \\ a2 = - 14 \\ d = a2 - a1 \\ d = - 14 - - 10 \\ d = - 14 + 10 = - 4 \\ an = a1 + (n - 1)d \\ a35 = - 10 + (35 - 1) \times ( - 4) \\ a35 = - 10 + 136 \\ a35 = 126[/tex]
Answer:
[tex]here \: a1 = - 10 \\ d = - 14 - - 10 = - 14 + 10 = 4 \\ a35 = a1 + 34d \\ a35 = - 10 + 34 \times 4 \\ = - 10 + 136 \\ = 126 \\ thank \: you[/tex]
How long does it take for an investment to quadruple in value if it is invested at 11% compounded
continuously? Type the exact answer as your answer (no decimal approximations).
Let's assume we have $100 and an interest rate of 7%. For the $100 to quadruple it means that the future value would be $400. Thus, because we are talking about compounding daily we will set us the equation as follows:
100 * (1+1.07)x = 400
Then we will take 400 and divide it by 100 getting:
1.07X = 4
Now we have encountered a problem where we do not know exponent, so we will use logarithm to calculate such and transform our equation to: Log1.07(4)=X
Using our calculator we will find that it takes about 20.4895 days to quadruple the money invested under 7% interest rate compounded daily.
2nd: Using the same $100 but with the rate of 5.5% compounded continuously we will be using A=PERT formula
where:
P (principal) is equal to hypothetical $100
E (e) is a mathematical constant, which is approximately 2.718
R (rate) is the interest rate, in our case it is 5.5%
T (time) is the time required for money to grow
A (amount) is the final amount desired, which is 4 times larger of $100, thus $400
We have the following:
400 = 100 * e0.055t
400/100 = e0.055t
4 = e0.055t
Then we will apply natural log to both sides of the equations and get the following:
ln(4) = ln(e0.055t)
Since e is the base of ln(x) the equation simplifies to:
ln(4) = 0.055t
Using the calculator to find ln(4) we are getting:
1.38629 = 0.055t
Lastly find t
t = 1.38629/0.055
t = 25.20535202
Plug the answers back to the original equation to verify the answers.
1st part of the question answer: t = 20.4895
2nd part of the question answer: t = 25.20535202
A store is having a 25% off sale on all shirts. Select all of the possible ways to calculate the sale price for a shirt that normally costs $24.
A. 24 - (0.25 x 24)
B. (0.75) x 24
C. (0.25 x 24) x 3
D. (0.25 x 24)
E. (24 + 0.25)
Answer:
A,B, and C
Step-by-step explanation:
25%of 24 is 6, 24-6=18(new price)
A.24-(0.25×24)=24-6=18
B.(0.75)×24=18
C.(0.25×24)×3= 6×3=18
can y’all help me on this?
Answer:
Step-by-step explanation:
V=l*w*h
V=4* 2 1/2 * 3 1/2=4*5/2*7/2=35
Answer:
V=35
Step-by-step explanation:
V=Bh
v=volume
b=base(length & width)
h=height
V=(4)(2 1/2)(3 1/2)
V=(10)(3 1/2)
V=35
rearrange y=4-3x/x-5 to make x the subject
Answer:
x = [tex]\frac{4+5y}{y+3}[/tex]
Step-by-step explanation:
Given
y = [tex]\frac{4-3x}{x-5}[/tex] ( multiply both sides by x - 5
y(x - 5) = 4 - 3x ( distribute left side )
xy - 5y = 4 - 3x ( add 3x to both sides )
xy + 3x - 5y = 4 ( add 5y to both sides )
xy + 3x = 4 + 5y ← factor out x from each term on the left side
x(y + 3) = 4 + 5y ← divide both sides by y + 3
x = [tex]\frac{4+5y}{y+3}[/tex]
A rational number, by definition, is any number that can be written as a
or two integers.
O quotient
O difference
sum
product
Answer:
Two Integers
Step-by-step explanation:
What is the 10th term of 300, 150, 75
Answer:
So the pattern is dividing in half
So 300, 150, 75
We have the first 3 terms
The 4th term: 37.5, 18.75,
So we get the 10th term: 0.58
A party planner wants 220 balloons in each of the 3 rooms. If balloons come in packages of 50 balloons, how many packages must be bought to fill the 3 rooms?
Answer:
14 packages.
Step-by-step explanation:
The total number of balloons needed is 3 * 220 = 660 balloons
To find the number of packages
660 / 50 = 13 with a remainder of 10.
Normally, you would round down, but not with this question. You need to buy a whole package to get the 10 left over balloons.
The answer is 14 packages.
write a subtraction
which crosses 100 and
has an answer of 18.
Explain your thinking.
20 POINTS!!!
Write the algebraic expression or equation that represents the following word problem. **DO NOT EVALUATE OR SOLVE
Rene has a $50 gift card from a local coffee shop. Each day, he buys the same latte which costs $4.25. When will he have $11.75 left on his card?
Answer:
50-4.25x=11.75
Step-by-step explanation:
So first rene has 50 dollars and has 11.75 left eventually, so that indicates this is a subtraction problem. Also Rene buys a latte cost 4.25 dollars for a certain amount of days so let x represent amount of days and your equation should be 50-4.25x=11.75
Guys I really need help on this please
Answer:
The answer is 26.2.
Step-by-step explanation:
To get the answer we take the miles done in the race, in this case 18.34 and he is 70% done the race. To find out how much total miles are in the race, we convert 70% into a decimal which is 0.70. then we have 18.34 and 0.70 to multiply. 18.34 x 0.70=26.2 Which is your answer.
Hope this helps!
What is the slope of the line that passes through the points (-7. 10) and (-5,5)?
BRAINLIEST! URGENT! Please help, I'm not quite good with functions. If you know that answer, please provide an explanation. Thank you.
Answer:
D
Step-by-step explanation:
It must be D because first of all you need the 1.01 because its a 1 percent increase and because when you write out what it would be for lets say 3 years it would be (310*1.01)*1.01)*1.01 so if we drop the parentheses because this is all multiplication you would have 310*1.01^3 which would be 3=t
Answer:
the pollen grain deposited were initially estimated at 310 with a annual increase rate of 1%
thus, there is an increase by 1.01 every year
for the first year after the year the grains were deposited there will be an increase of 310 (1.01)
similarly the following year will have an increase of 310(1.01)
(1.01) or 310(1.01)2-this 2 is a square
also the third, fourth, fifth....year will have an increase of 310(1.01)3-this 3 is a square, 310(1.01)4-this four is a square, 310(1.01)5-also this five is a square
respectively and thus, t years, there will be an increase of 310(1.01)t
ans:D
Note I did not did this I received help
[36 + (3 x 2)] ÷ 6
can any one tell me the ans
Answer:
6+x
Step-by-step explanation:
hope this helps
HURRY PLZ!!!!!!BY 10:30
One inch is around 2 11/20 centimeters.What fraction of an inch is 1 centimeter?
A) 13/20
B) 17/20
C) 20/51
D) 20/11
Plz get this right!! for some reason it is worth 25 points on this test!! And it is a MIDTERM
Answer: C
Step-by-step explanation: Trust me on this ok?
Benjamin is going to drive from his house to City A without stopping. An equation that determines Benjamin's distance from City A tt hours after leaving his house is D=260-65t.D=260−65t. What is the slope of the equation and what is its interpretation in the context of the problem?
Given:
The Benjamin's distance from City A, t hours after leaving his house is
[tex]D=260-65t[/tex]
To find:
The slope of the equation and what is its interpretation in the context of the problem?
Solution:
The slope intercept form of a line is
[tex]y=mx+b[/tex]
where, m (coefficient of variable x) is slope and b is y-intercept.
We have, the equation
[tex]D=260-65t[/tex]
It is a linear equation and the coefficient of variable t is -65. So, the slope of the equation -65.
It means, the Benjamin's distance from City A is decreases at the rate of 65 units per hour or we can say the speed of Benjamin is 65 units per hour.
Therefore, slope of the equation -65. It means, Benjamin's distance from City A is decreases at the rate of 65 units per hour.
Answer:
The slope of the function is -65 which reveals the average speed that Benjamin travels, in miles per hour.
Step-by-step explanation:
The slope shows how much the distance to City A decreases each hour, implying that Benjamin is driving an average speed of 65 miles per hour.
Have a good day :)
*URGENT* I NEED HELP WITH THIS QUICK
Answer:
A. Choice 2
B. Choice 1
C. Choice 2
D. Choice 1
Step-by-step explanation:
So basically if it's being multiplied by something each time, then it's choice 2 and if it's being add by something each time, then it's choice 1.
A. You can see in the diagram that each time you multiply the y-value by 2, so it's choice 2
B. In the equation you can tell that every time you will be adding 16, so choice 1
C. Since it's being multiplied by 0.75 each time, it's choice 2
D. Every time y grows by 12, so it's choice 1.
What is (29-7) x 7^2+6
Answer:
used bedmas
Step-by-step explanation:
=(22)x49+6
= 1070+6
=1076
When sebatian weight his balikbayan box, its weight was 34 kg. When he got to the airport, he found out that the airline charge $5 for each lb in excess of the free baggage allowance of 50 lb. How much will sebatian pay for the excess weight?
Answer:
1 kg = 2.205 lb
34 X 2.205 = 74.97lbs
74.97 - 50 = 24.97
25 x 5 = $125
What is the slope of the line?
Answer:
-8/3
Step-by-step explanation:
-8/3
you count up from when the line intercepts a secure point that would be 8
then 3 over
its negative because it points down on the right
Natalia paid $38.95 for three medium-sized pizzas and a salad. Solve an equation to find the cost of one pizza, p, if Natalia paid $11.98 for the salad. Enter your answer in the box.
Answer:
38.95= 3 p+11.98
38.95-11.98=3p
26.97/3.=p
$8.99= p
Step-by-step explanation:
hope this helps
Answer:
$8.99 per pizza so p = $8.99
Step-by-step explanation:
$38.95 - $11.98 = $26.97
$26.97/3 = $8.99 = p
-11 + x = 7x - 5. PLEASE HELPP WHAT DISE X EQUAL
Answer:
x= -1
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Brainly plss?
Answer:
x=-1
use math papa calculator it helps :)
Katherine went to dinner with her mother that same day of shopping. their total bill was $34.80. the sales tax is 6%. if they left a 25% tip, how much was their total bill?
Tax- ?
Tip- ?
How much was their total bill with tax and tip added(hundredths place)
Answer:
45.58
Step-by-step explanation:
Tax is 2.08
Tip is 8.7
Hope this helped
Which expression represents the volume of the pyramid? One-thirdn(n − 1) units3 One-thirdn(n − 1)2 units3 One-thirdn2(n − 1) units3 One-thirdn3(n − 1) units3
Answer:
The answer is "[tex]\bold{\frac{1}{3} \ n^2 (n - 1) \ units^3}[/tex]"
Step-by-step explanation:
Please find the complete question in the attachment file.
The volume of a pyramid: [tex]V=\frac{1}{3} (\text{base area}) \times (\text{height})[/tex]
In the question if:
[tex]Area= n^2 \ units^2 \\\\height= (n-1) \ units\\[/tex]
apply the value in the volume formula:
[tex]V=\frac{1}{3}\ n^2 \ units \times (n-1) \ units^2\\\\[/tex]
[tex]= \frac{1}{3}\ n^2 \times (n-1) \ units^3\\\\ = \frac{1}{3}\ n^2 (n-1) \ units^3\\\\[/tex]
Answer:
option C). 1/3^2(n − 1) units3
Step-by-step explanation:
just took test