In sunlight, a vertical stick 7 ft tall casts a shadow 3 ft long. At the same time a nearby tree casts a shadow 11 ft long. How tall is the tree? Round to the nearest tenth.

Answers

Answer 1

Answer:

Answer:

25.7 feet.

Step-by-step explanation:

Let x be the actual length of tree.

We have been given that in sunlight, a vertical stick 7 ft tall casts a shadow 3 ft long. We are asked to find the actual length of tree casting a 11 ft long shadow.

We will use proportions to solve our given problem.

$(x)/(11)=(7)/(3)$

Upon multiplying both sides of our equation by 11, we will get:

$(x)/(11)*11=(7)/(3)*11$

$x=(77)/(3)$

$x=25.6666666\approx 25.7$

Therefore, the tree is 25.7 feet tall.

Answer 2

Answer: $look\ at\ the\ picture\n\n\Delta ABC\sim\Delta D EF\n\n(|ED|)/(|EF|)=(|AB|)/(|BC|)\n\n(|ED|)/(11)=(7)/(3)\ \ \ \ /\cdot11\n\n|ED|=(77)/(3)\n\n|ED|\approx25.7\ (ft)\leftarrow Answer$

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a meter is one thousandth of a kilometer . write an equation to show the relationship between 962 meters and 0.962 kilometers

Answers

1,000m=1k
therefore, 962m=.962k
idk what you needed but
962/1,000=.962

Twice the difference of a number and ten is fifty-four. Find the number,

Answers

Answer:

Step-by-step explanation:

2(x-10)=54

2x-20=54

2x=74

x=37

The figure above represents a circle that has been dilated by a scale factor of 2.What is the measurement of the radius of the original circle?
Answer choices are below

A. 2 units

B. 2.75 units

C. 5.5 units

D. 11 units

Answers

if you look at the graph closely it has the y axis (top circle limit) on 5 and bottom -6
Same on the x axis to the left -5 to the right circle 6
total amount from onside to another is 11 which make the diameter 11.
Radius? divide the diameter which is 11/2 = 5.5
it says it has been dilated. If it has been re-sized smaller then it B. 2.75
5.5 divided by 2 = 2.75

Final answer:

The original circle's radius cannot be definitively determined from the question as is, because the dilated circle's radius is not specified. However, if the dilated circle's radius is known, the original radius can be found by dividing the dilated radius by the scale factor, which is 2 in this case.

Explanation:

The question represents a geometric concept in Mathematics, specifically dealing with dilation of a circle. In dilation, a figure is altered in size without changing its shape. If a circle is dilated by a scale factor of 2, meaning it has been made twice as large, the radius of the dilated circle will be two times the radius of the original circle. If the scale factor is 2, the radius's length will be halved to get the measurement of the original circle's radius. Therefore, without the specific measurement of the dilated circle's radius, we can't definitively give the original circle's radius from the options given (A. 2 units, B. 2.75 units, C. 5.5 units, D. 11 units).

Learn more about Dilation here:

brainly.com/question/29811168

#SPJ3

7 Solve (x² - 11x +29)(6x²+x-2) = 1.

Answers

Answer: The answer is x=0.670

Step-by-step explanation:

ab=1⇒a=1 or b=0 or a=−1 if b is even

So we can just solve three different cases.

Case 1: a=1.
x2−11x+29x2−11x+28(x−4)(x−7)x1x2=1=0=0=4=7

Case 2: b=0.
6x2+x−2(3x+2)(2x−1)x3x4=0=0=−23=12

Case 3: a=−1 and b is even.
x2−11x+29x2−11x+30(x−5)(x−6)x5x6=−1=0=0=5=6(inadmissible)

The possible answers are therefore x= -2/3, 1/2, 4, 6, 7

a movie theater charges $6 for a ticket to a matinee and $10 for a ticket to an evening show. last week on tuesday a total of 130 tickets were sold, with the total income amounting to $1120. how many tickets to a matinee were sold?

Answers

Answer:

45 tickets for the matinee were sold

Step-by-step explanation:

let m represent the number of matinee tickets sold and

let e represent the number of evening tickets sold.

Create a system of equations and solve for m

m + e = 130 → (1) ( total ticket sales )

6m + 10e = 1120 → (2) ( income from tickets sold )

multiplying (1) by - 10 and adding the result to (2) will eliminate e

- 10m - 10e = - 1300 → (3)

add (2) and (3) term by term to eliminate e

(6m - 10m) + (10e - 10e) = 1120 - 1300

- 4m + 0 = - 180

- 4m = - 180 ( divide both sides by - 4 )

m = 45

the number of matinee tickets sold was 45

You recieve your pay stub and your gross pay is $1,200.00 and your net income is $836.00. how much FICA is withheld at 7.65%?A. $364.00
B. $27.85
C. $91.80
D. $63.95

Answers

C. $91.80. hope this helps

The answer is:

C. $91.80

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