At a particular time, a tree casts a shadow 17 m long on horizontal ground. At the same time, a vertical pole 3 m high casts a shadow 4 m long. Calculate the height of the tree to the nearest tenth of a meter.

Answers

Answer 1

Using a system of equations, the height of the tree would be 12.80 meters.

Equating the height and shadows of the tree and pole :

Height of pole / shadow of pole = height of tree / shadow of tree

Representing the equation thus :

Let the height of the tree = h

3/4 = h/17

Cross multiply

4h = 17 × 3

4h = 51

Divide both sides by 4

h = 51/4

h = 12.75.

Hence, the height of the tree to the nearest tenth of a meter is 12.80 meters.

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Related Questions

7. Fill in the columns in the following table. What quantity should
a profit-maximizing firm produce? Verify your answer with
marginal reasoning.

Answers

Answer:

The rule for a profit-maximizing perfectly competitive firm is to produce the level of output where Price= MR = MC, so the raspberry farmer will produce a quantity of 90, which is labeled as e in Figure 4 (a). Remember that the area of a rectangle is equal to its base multiplied by its height.

The price of a scarf is reduced by $2.19. The price is now $8.40. What was the original price of the scarf? Enter your answer in the box. $WHOEVER ANSWER GETS BRAINLESS NEED HELP​

Answers

If the price was reduced by $2.19, the original price of the scarf would be $2.19 + $8.40 which is $10.59

Answer:

The original price of the scarf was $10.59.

Step-by-step explanation:

"The price of a scarf is reduced by 2.19. The price is now 8.40."

Let X be the original price of the scarf.

That can be written as an equation like this:

x - 2.19 = 8.40

Now, just solve for x. Add 2.19 to both sides:

x = 10.59

The original price of the scarf was $10.59.

How do you evaluate (-12)3

Answers

Step-by-step explanation:

-1728 y'all i do by using calculator and it is correct

Answer:

its -1728

Step-by-step explanation:

i worked it out right.

3
Which number line shows a number equivalent to
1 Sume
Choose 1 answer:
ctions
++
wat tract
>
2
0
1
A
U
HHH
iz 1
X 8 min
>
2
0
1
N
ctions
FE
4HHHH
0
>
2
1
iz 2
6 3 mor

Answers

Answer: B

Step-by-step explanation:

2/3 means 1.5

I need a help.... thankyouu to those who can ans. this:))

A. BSA Method
B. Clark's Rule

(20 points)​

Answers

A

Step-by-step explanation:

just trust me that is the correct answer

PLEASE HELP WITH THIS ONE QUESTION

Answers

Answer:

Step-by-step explanation:

(2ab^2 + 3c^2) (2ab^2 + 3c^2) = 4a^2b^4 + 6ab^2c^2 + 6ab^2c^2 + 9c^4

= 4a^2b^4 + 12ab^2c^2 + 9c^4

Estimate each product 11.9×21=

Answers

Answer:

249.9

uhm.. correct me if im wrong

Please help me Asp please really fast

Answers

X = 20 is the correct answer

Solve the system of equations using the substitution method.

5x−4y=−15
x−3y=−3

(3, 0)

(0, -4)

(-3, 0)

(0, -3)

Answers

Answer:

(-3,0)

Step by step explanation:

make x the subject of the formula in equation 2

x-3y=-3

x = 3+3y

substitute x in equation 1

5(3+3y)-3y = -15

open the brackets

15+15y-3y = -15

15+12y=-15

12y = 15-15

12y = 0

divide both sides by 12

y = 0

substitute y in equation 2

x - 3(0) = -3

x - 0 = -3

x = -3+0

x = -3

therefore x = -3

y = 0

Look at attached photo. Will give brainiest to correct answer. Trigonometry.

Answers

Answer:

Step-by-step explanation:

Please any math experts help thanks you

Answers

Answer:

[tex]\frac{p^2-25}{p^2-10p+25}[/tex]

We can factorise the numerator with the difference of squares formula:[tex]x^2-y^2=(x+y)(x-y)[/tex]

-----------------------------

[tex]\frac{p^2-5^2}{p^2-10p+25} =\frac{(p+5)(p-5)}{p^2-10p+25}[/tex]

Now we can factorise the denominator:

[tex]\frac{(p+5)(p-5)}{p^2-10p+25} =\frac{(p+5)(p-5)}{(p-5)^2}[/tex]

[tex]\frac{(p+5)(p-5)}{(p-5)^2} =\frac{(p+5)(p-5)}{(p-5)(p-5)}[/tex]

Cancel out the common factor of (p-5):

[tex]\frac{(p+5)(p-5)}{(p-5)(p-5)} =\frac{(p+5)}{(p-5)}[/tex]

The area between z = -1.25
And z = 0.32

Answers

Answer:

there a answer I'm not good in math

how do you simplify 18x⁶/27x⁴ ​

Answers

Answer:

2x^2/3

Step-by-step explanation:

In pic

(Credits: Symbolab)

(Hope this helps can I pls have brainlist (crown)☺️)

In parallelogram HJKL if JM=19 find ML.

Answers

Answer:

19

Step-by-step explanation:

in any parallelogram the diagonals bisect each other evenly. that means if JM = 19, ML is also 19. hope this helps

Solve the given equations. PLEASE show your work. Answer if it has No solution or Infinite many solutions.




-17 + 2(1 + 3x) = x - 5(3 - x)

Answers

Answer:

Infinite.

Step-by-step explanation:

[tex]-17+2(1+3x)=x-5(3-x)[/tex]

Expand:

[tex]-17+2+6x=x-15+5x[/tex]

[tex]6x+15=6x+15[/tex]

[tex]6x=6x[/tex]

[tex]0=0[/tex]

Since 0=0 is true, then there are infinite solutions as no matter what value you put in for x, it will never affect the outcome of 0=0 which is true.

What is the solution of this inequality?

r−10>−7

Drag and drop the choices to correctly complete the inequality.

r Response area Response area

Answers

Answer:

=r-10+10>-7+10

=r>3

first add +10 to the both sides so as to balance the inequality then do a simple calculation which results you to the final answer.

For r > 3, the inequality r - 10 > -7 is satisfied.

What is a expression? What is a mathematical equation? What is Equation Modelling? What is inequality?

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. An inequality is a relation comparing two expressions. For example -

3x + 4 > 5

ax + b < c

We have the following inequality -

r - 10 > -7

We can write -

r - 10 > -7

r - 10 + 10 > - 7 + 10

r > 3

Therefore, for r > 3, the inequality r - 10 > -7 is satisfied.

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

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#SPJ2

Is (2, 1) a solution to the equation y = 2x - 1?

Answers

Answer:

No

Step-by-step explanation:

Substitute the values for their respective variable and evaluate.

[tex]1=2(2)-1\\1=4-1\\1\neq 3[/tex]

Therefore, (2, 1) is not a solution to the equation y = 2x - 1.

(2, 1) is in the form of (x, y).

Then,

☆ x = 2

☆ y = 1

Equation =》y = 2x - 1

Now, substitute the values.....

=》y = 2x - 1

=》(1) = 2(2) - 1

=》1 = 4 - 1

=》 1 ≠ 3

So, (2, 1) is NOT a solution to the equation y = 2x - 1.

______

Hope it helps ⚜

Fireworks are fired from the roof of a 100-foot building and travel 84 feet per second. The equation h = -16t 2 + 84t + 100 models the height h of the fireworks at any given time t seconds.

Answers

The firework reaches the ground after 6.25 seconds.

A projectile is the curved motion of an object thrown into space under the influence of gravity.

Given that the firework experiences a projectile motion given by the equation:

h = -16t² + 84t + 100

where h is the height after t seconds.

The firework reaches the ground when h = 0, hence:

0 = -16t² + 84t + 100

t = 6.25 seconds.

Therefore the firework reaches the ground after 6.25 seconds.

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Find the average of the following numbers: 55.1, 67.9, 59.2, 64.1, 61.8, 62.7. Round
your answer to one decimal place *
Your answer

Answers

Answer:

61.8

Step-by-step explanation:

[tex] \frac{55.1 + 67.9 + 59.2 + 64.1 + 61.8 + 62.7}{6} [/tex]

61.8 is the answer to 55.5 576

This is due today please helpppp meeee I really need help



Carla and Diane Bought identical suit cases at a different stores. Carla’s suitcase originally cost $85 and was on sale for 20% off the original price which suitcase was a the better deal? What do we know ? List important facts ? What do we want to find out ?? Solve ??? Show ur work? Explain starts ur Asnwer and give details ? And justify your steps ? Someone please help!!!

Answers

Answer:

Carla's suitcase was a better purchase.

Step-by-step explanation:

The complete question is:

Carla and Daniel bought identical suitcases at different stores. Carla's suitcase originally cost $75 and was discounted 19% Daniel's suitcase original cost $85 and was on sale for 20% off the original price. Which suitcase was the cheaper?

Solution:

Cost Price of Carla's suitcase = $75

       Discount% for Carla = 19%

       The amount paid by Carla is,

       

       So, the amount paid by Carla was, $60.75.

Cost Price of Jeana's suitcase = $85

       Discount% for Jeana = 20%

       The amount paid by Jeana is,

       

       So, the amount paid by Jeana was, $68.

Carla's suitcase was a better purchase.

Please Help! I don't understand how the Alabama paradox works. I will give you a lot of points!

--PLEASE show all work

The table shows the populations, in thousands, of the three states in a country with a population of 3760 thousand. Use Hamilton's method to show that the Alabama paradox occurs if the number of seats in congress is increased from 24 to 25

Answers

Answer:

  State A loses a seat to State B when the total is increased

Step-by-step explanation:

The "work" is most easily done by a spreadsheet, as the calculations are easily defined and very repetitive.

The "fair share" of seats is the fraction the population is of the total, multiplied by the total number of seats. It will generally be a mixed number (integer plus fraction).

If the whole number is 1 or greater, the number of seats allocated at least that whole number.

If not all seats are allocated, the fractions are sorted in decreasing order, and 1 additional seat is added to the allocation for each state, working down the list, until all of the seats are allocated.

__

The attachment shows State A has the highest fraction when the number of seats is 24. Only one additional seat needs to be allocated in that case. State A gets that extra seat.

When the number of seats is 25, States B and C have the highest fractions. Each of them gets one additional seat, and State A gets no additional seats. This results in the appearance of State A giving up a seat to State B.

_____

Additional comment

Hamilton's apportionment method was used for a number of years in the US. The method now in use is substantially different. The current method would divide the 24 seats so that A=3, B=6, C=15. The 25th seat would be given to State A.

Simplify the liner expression
−2/3a+1/8−1/6a−3/4

Answers

This is how far you can simplify it

Two bike messengers, Jerry and Susan, ride in opposite directions. If Jerry rides at the rate of 20 km/h, at what rate must Susan ride if they are 150 kilometres apart in 5 hours? With chart

Answers

Answer:

10km/h

Step-by-step explanation:

speed = distance/time

s = 150/5

s = 30km/h

the total must be 30km/hr

less the 20km/hr that Jerry is going

is the speed Susan must go in the opposite direction

30 - 20 = 10

10km/h

The mean of the following numbers 78, 88, 89, 90, and 95 is 88.

Answers

Answer:

that's definitely true

Yes
Mean= sum of all the numbers/the total numbers

100÷5+25×3=



AYUDAA ES PARA HOYYY​

Answers

Answer:

95

Step-by-step explanation:

100 divided by 5 plus 25 times 3 is 95 :)

100/5=20

25x3=75

75+20=95

95

720 is what percent of $800?

Answers

the answer is 90 hope this help.

Gretchen bought her 3 daughters a 27-page sticker book. She split the pages equally among the girls. If each page had 24 stickers, how many sticker did each girl get?

Answers

Answer: the daughters got 216 stickers each

Step-by-step explanation:

27 times 24 is 648

648 devided by 3 is 216

so therefore your answer would be 216

hope this helps

7 inches 6 inches and 6 inches make a triangle?

Answers

Answer:

^

Step-by-step explanation:

The left and right sides of the triangle must be 6 and the bottom must be 7. This creates an equilateral triangle where 2 sides are equal.

Write the equation of the line in fully simplified slope-intercept form.

Answers

[tex]y = -\frac{1}{2}x - 1[/tex]

Step-by-step explanation:

Let's pick two points on the line: [tex]P_1(-4, 1)[/tex] and [tex]P_2(2, -2).[/tex] Let's calculate the slope of this line using these points:

[tex]m = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{-2 - 1}{2 - (-4)} = -\dfrac{1}{2}[/tex]

With this value of the slope, we can write the general slope-intercept form of the equation as

[tex]y = -\frac{1}{2}x + b[/tex]

To solve for the y-intercept b, let's use either P1 or P2. I'm going to use P2:

[tex]-2 = -\frac{1}{2}(2) + b \Rightarrow b = -1[/tex]

Therefore, the slope-intercept form of the equation is

[tex]y = -\frac{1}{2}x - 1[/tex]

THE SIDES OF A TRIANGLE ARE IN THE RATIO 4:4:3. A.WHAT KIND OF TRIANGLE IS IT? B. CALCULATE THE SMALLEST ANGLE OF THE TRIANGLE TO THE NEAREST DEGREE.

Answers

Answer:

1

Step-by-step explanation:

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