Jimmy needs to know how tall one of his trees is before he calls the tree removal company. He knows the height of a flag pole in his yard is 35 ft. At the same time the flagpole casts a shadow of 7 ft, the tree casts a shadow of 6.7 ft. How tall is the tree (round to the nearest foot)?
Answers
Solution:
Given:
The sketch of the scenarios;
By similar triangles,
\(\begin{gathered} \frac{35}{7}=\frac{h}{6.7} \\ Cross\text{ multiplying;} \\ 7h=35\times6.7 \\ 7h=234.5 \\ h=\frac{234.5}{7} \\ h=33.5ft \\ \\ To\text{ the nearest foot,} \\ h=34ft \end{gathered}\)Therefore, to the nearest foot, the tree is 34 feet tall.
Related Questions
A triangle has vertices X(2, 1), Y(5, 4), and Z(5, 1). What is the area of the triangle?
Answers
Answer:
Step-by-step explanation:
They gave you an easy triangle. You can tell by the coordinates that X and Z are horizontally aligned, and Y and Z are vertically aligned, so Z is a right angle.
Area = 0.5(XZ)(YZ) = 0.5(3)(3) = 4.5 square units.
Plz helplpppppppppppppppppppp
Answers
Answer:
Part A: x+y=75 is the 1st linear equation
y=25+x
Part B:
x+y=75
x+(25+x)=75
2x=50
x=25
she spends 25 mins running
part c : no because if she spends 45 mins
then x+y=70
but x+y=75
she spends 50 mins dancing
a tax accountant requires 2 1/2 hours to prepare a personal tax return and 4 7/8 hours to prepare a small business tax return. how much longer does it take the accountant to prepare the small business tax return
Answers
Answer:
2 3/8 hours longer
Step-by-step explanation:
Please mark Brainliest when able.
Translate the following sentence into a mathematical equation. Use A to represent the area, and C to represent the circumference. The area of a circle is the product of the number 1/4(pi) and the square of the circumference 
Answers
The expression is A = (1/4 pi) * (C^2) when The area of a circle is the product of the number 1/4(pi) and the square of the circumference.
What is Area of circle?
Area of circle can be defined as the product of pi and square of radius of a circle.
Given ,
we have transform the sentence into a mathematical equation
so A is used to represent the area
and C is used to represent the circumference
And condition is
The area of a circle is the product of the number 1/4(pi) and the square of the circumference
SO,
A = (1/4 pi) * (C^2)
Hence, The expression is A = (1/4 pi) * (C^2) when The area of a circle is the product of the number 1/4(pi) and the square of the circumference.
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the null hypothesis for the sign test always states that the mean difference between the matched or paired samples is zero T/F
Answers
True. The null hypothesis for the sign test always states that the mean difference between the matched or paired samples is zero.
Therefore, the null hypothesis always states that the mean difference between the matched or paired samples is zero.Sign Test for Comparing Two Matched SamplesThe sign test is used to compare two related or matched samples to determine if they are significantly different from one another. It is based on the idea that the difference between two related samples should be zero. The null hypothesis of the sign test states that the mean difference between the two matched or paired samples is zero, meaning that there is no difference between the two samples.
The alternative hypothesis is that the mean difference between the two samples is not zero, indicating that there is a significant difference between the two samples. The sign test is used to determine if the two samples are significantly different from one another.
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Solve -9.4 ≥ 1.7x + 4.2
Answers
Answer:
The answer to your question is x<-8, hope this helps :)
Answer:
A: x < -8
Step-by-step explanation:
I got it right in edge
Date
Page
12 workers were employed to complete the
construction of a building in 60 days
How many additional numbers op workers
should be employed to complete constrichon in
45 days?
Answers
Answer:
16 workers are required to complete the work in 45 days...
Step-by-step explanation:
12 workers are required to complete the work in 60 days
so... 60*12=720 workers are required to complete the work in 1 day
Hence,
720/45 = 16 workers are required to complete the work in 45 days.
Betty has a checking account and a non-interest-bearing savings account. Function C represents her checking account balance, where x is the number of months. Function S represents her saving account balance which function represents Betty's total account balance,
Answers
Answer: t(x) or total amount
Step-by-step explanation:
Answer:
Step-by-step explanation:
d
This year, the number of raffle tickets sold for a school's extracurricular activities fundraiser is 848. It is estimated that the number of raffle tickets sold will increase by 5% each year. Find the total number of raffle tickets sold at the end of 9 years.
Select the correct answer below:
9,158
9,351
9,818
10,666
Answers
This year, the number of raffle tickets sold for a school's extracurricular activities fundraiser is 848. It is estimated that the number of raffle tickets sold will increase by 5% each year.
The total number of raffle tickets sold at the end of 9 years is approximately 9,818.
To find the total number of raffle tickets sold at the end of 9 years, we need to calculate the number of tickets sold each year and sum them up.
Starting with the initial number of tickets sold, which is 848, we will increase this number by 5% each year for a total of 9 years.
Year 1: 848 + (5% of 848) = 848 + 42.4 = 890.4
Year 2: 890.4 + (5% of 890.4) = 890.4 + 44.52 = 934.92
Year 3: 934.92 + (5% of 934.92) = 934.92 + 46.746 = 981.666
Year 9: Ticket sales at the end of 9 years = Number of tickets sold in Year 8 + (5% of Year 8 sales)
Year 9: Total = 1,399.585 + 69.97925 = 1,469.56425 ≈ 1,469.56
The total number of raffle tickets sold at the end of 9 years is approximately 1,469.56.
The correct option is 9,818.
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A television show aired once a week for 4.5 years. How many weeks did the show last?
234 weeks
208 weeks
182 weeks
26 weeks
Answers
there are 52 in one year so multiply 52 by 4.5
The answer is 234 weeks. The correct option is A.
What is an expression?
Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication, and division.
To find the number of weeks the television show aired for, we need to multiply the number of years by the number of weeks in a year.
Number of weeks in a year = 52 (approximately)
Number of years the show aired for = 4.5
Therefore, the total number of weeks the show aired for is:
Total weeks = 4.5 x 52 = 234 weeks
Therefore, the answer is 234 weeks.
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-8/3(-11/3p+1)=-184/3
Answers
Answer:
p= -6 I hope this helps............
Find the reciprocal of 4
Answers
Answer:
reciprocal of 4 = 1/4
Step-by-step explanation:
By definition, a reciprocal of a/b = b/a.
Since 4 is the same as 4/1, then it's reciprocal must be 1/4.
Answer:
1/4
Step-by-step explanation:
because 4 = 4/1
reciprocal means to flip it upside down 4/1 = 1/4
9x – 2c = k solve for x
Answers
Answer:
x = 1/9x + 2/9c
Step-by-step explanation:
9x – 2c = k
9x = k + 2c
x = 1/9x + 2/9c
Best of Luck!
(6 + 3) ÷ (4 – 5) = for edgienuity
Answers
Answer:
-9
Step-by-step explanation:
(6+3) divided by (4-5)
9/-1
-9
Find the height of the tower using the information given in the illustration.
Answers
using SOH CAH TOA
Tan 85.144 =h/130
h=tan 85.144*130
h=1530.19 fr
What is the value of b?
25-15
3b +25
Answers
Answer:
B=34
Step-by-step explanation:
2b-15+3b+25=180
5b+10=180
5b=170
b=34
Estimate the solution to the following system of equations by graphing.
9x + 8y=26
3x + 2y=9
Answers
Solution of 9x+8y=26 and 3x+2y=9 are given by (C) \(\mathbf{x=\frac{10}{3},y=-\frac{1}{2}}\).
We have to plot the graphs of the given two lines or curves, then we have to find the intersection point(s) of the curves or lines. That point is the solution for the system of the equations.
Given equations are,
9x+8y=26 .................(1)
3x+2y=9 ...................(2)
Now multiplying 3 with (2) and then subtracting (1) from that we get,
3(3x+2y)-(9x+8y)=3(9)-26
9x+6y-9x-8y=27-26
-2y=1
y=-1/2, on dividing both sides by -2
Substituting the value of y in (1) we get,
9x+8(-1/2)=26
9x-4=26
9x=26+4
9x=30
x=30/9=10/3
Also if we draw the graphs of the given equations by using graphing calculator we get,
Here in the graph we can see that the lines represented by the given equations intersects each other at point \(\left(\frac{10}{3},-\frac{1}{2}\right)\).
Hence the solution is \(x=\frac{10}{3},y=-\frac{1}{2}\).
Thus the correct option is (C).
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Find the total area of the two figure. Round to the nearest whole number. PLEASE HELP WILL MARK BRAINLIST! THANK YOU!
Answers
Answer:
b•h/2
12.8•9/2=57.6
area of the triangle is 57.6
12.8•18.5=236.8
area or rectangle is 236.8
the total area is 57.6+236.8=294.4
I hope this right
3^x = 27^a+b and a^2-b^2/(a-b)=5 What is x?
Answers
2a + 3x + a + 5x = what
Answers
Answer:
3 a + 8 x
Step-by-step explanation:
Answer:
3a + 8x
Step-by-step explanation:
2a + 3x + a + 5x
add 2a and a
3a + 3x + 5x
add 3x plus 5x
3a + 8x
hope this helped..
plz mark as BRAINLIEST
Can someone help me, please?
Answers
Answer:
16
Step-by-step explanation:
7x+20+2x-5=159
9x+15=159
9x=159-15
9x=144
x=16
Smallest successive composites with gap
17, 73, 2, 19
Answers
Answer:
Well, the smallest successive composites with gap 17, 73, 2, and 19 would have to be:
1. $341 = 11 \times 31$
2. $458 = 2 \times 299$
3. $460 = 2^2 \times 5 \times 23$
4. $479 = 13 \times 37$
A charity is considering the possibility of having a benefit night at two different restaurants. The owner of the local Italian restaurant has offered to make a donation of $462 and $1 per diner that night. On the other hand, the owner of the Mexican restaurant has said he could contribute $235 plus $2 per diner. Based on the number of diners who have promised to participate in the event, it appears that each restaurant would donate the same total amount. How many diners promised to participate? How much would each restaurant donate?
Answers
Let's assume that the number of diners at the Italian restaurant is "x" and the number of diners at the Mexican restaurant is "y". Then, we can write the following equations based on the given information:
Italian restaurant:
Donation = $462 + $1 per diner
Donation = $462 + $1x
Mexican restaurant:
Donation = $235 + $2 per diner
Donation = $235 + $2y
Since both restaurants will donate the same total amount, we can set their donations equal to each other:
$462 + $1x = $235 + $2y
Simplifying this equation, we get:
$2y - $1x = $227
We know that the number of diners has to be a whole number, so we can try different values of x and see which one gives us a whole number for y.
For example, if we try x = 200, then we can solve for y:
$2y - $1(200) = $227
$2y = $427
y = 213.5
Since y is not a whole number, we need to try a different value of x. If we try x = 250, then we get:
$2y - $1(250) = $227
$2y = $477
y = 238.5
Again, y is not a whole number, so we try another value of x. If we try x = 300, then we get:
$2y - $1(300) = $227
$2y = $527
y = 263.5
Still not a whole number, so we try x = 350:
$2y - $1(350) = $227
$2y = $577
y = 288.5
Finally, we get a whole number for y, so we have our solution:
Italian restaurant: x = 350 diners, donation = $812
Mexican restaurant: y = 289 diners, donation = $812
Therefore, 350 diners promised to participate and each restaurant would donate $812.
BONUS 1) You take the Math Time Machine into the past to save Julius Caesar and fix the calendar,
but you miss your timestamp and end up in Alexandria a few years early. You wander around before
ending up in front of the Great Library of Alexandria, which is guarded by a sphinx - known in
mythology for their tricky riddles. When you ask the sphinx what year it is, it refuses to answer
unless you solve a math problem. The sphinx shows you a right triangle with a base of 8 and a height
of 6, which you know has an area of 24. Then it tells you that if you that you can remove some
length x off of the 8 side, but if you do that you must add a rectangle under the 8 side with a height
equal to x, thus creating a trapezoid. How much length must you remove from the 8 side so the
trapezoid has the same area as the original triangle? X = 0 doesn't count.
a) X = 2
b) X = 3
c) X = 4
d) X = 5
Answers
Answer:
Gracias por los puntos :D
Solve the equation 4+4|2x−1|=12.
Answers
4+8x=16
8x=12
X=1.5
Liam will spin the pointer one time. What is the probability that the pointer will land on red?
Answers
Answer:
Step-by-step explanation:
What are the other colors?
if there are two colors ( red and another color ) then the probability of the pointer landing on red will be 1/2
similarly if there are 3 colors ( red and two other colors) then the probability of the pointer landing on red will be 1/3 ....
depends on how many colors are there
Which of the following best explains whether or 1 is the better estimate of
36
?
40
o A. 20
40
11 / 2 and
1. Since 36 is less than 40,
36
is closer to than it is
40
40
to 1.
0 В.
20
40
to
į and
40
40
1. Since 36 is closer to 20 than it is to 40,
36
40
is closer
2 than it is to 1.
s
OC.
20
40
and
1. Since 36 is exactly halfway between 20 and 40,
40
40
is as close to as it is to 1.
36
40
O D.
20
40
40
40
to 1 than it is to
į and
1. Since 36 is closer to 40 than it is to 20,
36
40
is closer
of 3 Answered
Answers
Answer:
D 36 is closer to 40 than to 20
Step-by-step explanation:
The correct explanation is the one that is true. All except D are false statements.
_____
Additional comment
One of the "test-taking skills" that you need to learn is that multiple-choice answers that make false statements can be immediately rejected. (You don't even need to check to see if they answer the question.)
Of course, there are occasional questions that ask you to find the false statement on the list. In those cases, you reject the true ones.
Charlie the trainer has two solo workout plans that he offers his clients: Plan A and plan B. Each client does either one or the other (not both). On Wednesday there were 5 clients who did plan A and 6 who did plan B. On Thursday there were 3 clients who did plan A and 2 who did plan B. Charlie trained his Wednesday clients for a total of 7 hours and his Thursday clients for a total of 3 hours. How long does each of the workout plans last?
Answers
Plan A lasts for 0.5 hours, and Plan B lasts for 0.75 hours based on the given information and the solution to the System of equations.
To determine the duration of each workout plan, let's assume that both Plan A and Plan B have a fixed duration. Let's denote the duration of Plan A as "x" hours and the duration of Plan B as "y" hours.
From the given information, we can form the following equations:
On Wednesday:
5 clients did Plan A, so the total duration for Plan A is 5x hours.
6 clients did Plan B, so the total duration for Plan B is 6y hours.
The total training duration on Wednesday is 7 hours, so we have the equation: 5x + 6y = 7 ... Equation (1)
On Thursday:
3 clients did Plan A, so the total duration for Plan A is 3x hours.
2 clients did Plan B, so the total duration for Plan B is 2y hours.
The total training duration on Thursday is 3 hours, so we have the equation: 3x + 2y = 3 ... Equation (2)
We now have a system of equations (Equation 1 and Equation 2) that we can solve to find the values of x and y.
Multiplying Equation (1) by 2 and Equation (2) by 5 to eliminate the y variable, we get:
10x + 12y = 14 ... Equation (3)
15x + 10y = 15 ... Equation (4)
Multiplying Equation (3) by 3 and Equation (4) by 2 to create a new system of equations:
30x + 36y = 42 ... Equation (5)
30x + 20y = 30 ... Equation (6)
Subtracting Equation (6) from Equation (5), we can eliminate the x variable:
(30x + 36y) - (30x + 20y) = 42 - 30
16y = 12
y = 12/16
y = 0.75
Substituting the value of y into Equation (2), we can solve for x:
3x + 2(0.75) = 3
3x + 1.5 = 3
3x = 3 - 1.5
3x = 1.5
x = 1.5/3
x = 0.5
Therefore, the duration of Plan A is 0.5 hours, and the duration of Plan B is 0.75 hours.
Plan A lasts for 0.5 hours, and Plan B lasts for 0.75 hours based on the given information and the solution to the system of equations.
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What’s the area and hurry:)
Answers
The triangle part of the shape is just the area of a square with the same base but halved. And you can simply count the squares to see the rectangle portion of the shape has has a length of ten and a height of 4 so the equation would be (10•4)+(1/2•4•4)
Find the value of x in the figure below
Answers
88°
Step-by-step explanation:
sum of angle=720
95+120+120+172+125+x=720
632+x=720
×=720-632
x=88
Answer:
\( \boxed{x \degree = 88 \degree} \)
Step-by-step explanation:
Sum of the interior angles of a hexagon is 720°
\( = > x \degree + 172 \degree + 120 \degree + 95 \degree + 120 \degree + 125 \degree = 720 \degree \\ \\ = > x \degree + 172 \degree + 240 \degree + 220 \degree = 720 \degree \\ \\ = > x \degree + 172 \degree + 460 \degree = 720 \degree \\ \\ = > x \degree + 632 \degree = 720 \degree \\ \\ = > x \degree = 720 \degree - 632 \degree \\ \\ = > x \degree = 88 \degree\)