a mailbox is 55 inches tall and casts a shadow that is 70 inches long. a nearby flagpole casts a shadow that is 196 inches long. how tall is the flagpole?

Answers

Answer 1

Answer:

154 inches tall.

Step-by-step explanation:

In this scenario, the sun's angle is the same for both objects. Since we have three values and 1 variable (height of the pole) we can use the Rule of Three to solve this. In this, we simply multiply the diagonal values of the ratios and divide by the third value to get the value of the variable like so...

55 in.  <=====>  70 in.

x  <=========>  196 in.

(55 * 196) / 70 = x

10,780 / 70 = x

154 in. = x

Finally, we can see that the flagpole is 154 inches tall.


Related Questions

If 2.25 kg of tomatoes costs $6.98, how much will you pay for 8 kg

Answers

Answer:

I don't understand kbhuo

£6.98 / 2.25kg = £3.10 per kg
£3.10 X 8kg = £11.10

Bird A has the genotype ll for bill length, and Bird B is LL. The bills of their offspring would be

Answers

Answer:

false

Step-by-step explanation:

it is false bird a has the genotype ll for bill length and bird b is LL. A short bill describes bird a's genotype

Please help with these 2 problems, fill in the blank

Answers

Answer: a. -6x

b. 3a; -3a2 (square) ; - 6

Step-by-step explanation:

a 25% tip was paid on a 30$ meal what is the amount of the tip?

Answers

Answer:

$7.50

Step-by-step explanation:

25% of $30 is $7.50

Answer:

7.50

Step-by-step explanation:

100%-> 30

1%->0.30

25%-> 7.50

Question: Find the equation of the circle whose diameter is the segment between the intercepts of 3x + 4y = 24.

If you can answer this please explain the steps so I can understand, please and thank you so much!

Answers

Answer:

[tex](x-4)^2+(y-3)^2=25[/tex]

Step-by-step explanation:

We want to find the equation of a circle who diameter is the segment between the intercepts of the linear equation:

[tex]3x+4y=24[/tex]

Find the intercepts first. To find the x-intercept, let y = 0:

[tex]3x+4(0)=24\Rightarrow 3x=24\Rightarrow x=8[/tex]

The x-intercept is (8, 0).

To find the y-intercept, let x = 0:

[tex]3(0) +4y=24\Rightarrow 4y=24\Rightarrow y=6[/tex]

The y-intercept is (0, 6).

Since this segment is the diameter, its midpoint is our center.

Find the midpoint between (8, 0) and (0, 6). The midpoint formula is given by:

[tex]\displaystyle M=\left(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right)[/tex]

Hence, the center of the circle is:

[tex]\displaystyle M=\left(\frac{8+0}{2}, \frac{0+6}{2}\right)=(4, 3)[/tex]

To find the radius of our circle, we can find the diameter and divide it by two.

The diameter is the length of the segment or the distance from (0, 6) to (8, 0).

Find the distance using the distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]

So, the diameter of our circle is:

[tex]d=\sqrt{(8-0)^2+(6-0)^2}=\sqrt{64+36}=\sqrt{100}=10[/tex]

Therefore, the radius of our circle is 5.

The equation for a circle is given by:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Where (h, k) is the center and r is the radius.

Our center is (4, 3) and our radius is 5.

Therefore:

[tex](x-4)^2+(y-3)^2=25[/tex]


2w - 5 = 8

W =

Plllssssss helppoo

Answers

Answer:

w = 13/2 or 6.5

Step-by-step explanation:

2w - 5 = 8

Add 5 to each side

2w - 5+5 = 8+5

2w = 13

Divide by 2

2w/2 = 13/2

w = 13/2 or 6.5

Answer:

13/2

Step-by-step explanation:

the steps are in the screenshot attached.

Write each absolute value in a box to show the order from least to greatest.

Answers

Answer:

From least to greatest: -12 -8 -2 5 11

Step-by-step explanation:

Please mark brainliest have a good day and i hope i helped :)

Answer:

(11)=(3)-(1)+(6)=6

Step-by-step explanation:

Please help, giving Brainliest and 100 points!

At the beginning of the school year, 396 students attended the first football game. Attendance at the next game was 505 students. Estimate the percent of increase.

Answers

percent of increase in students is 27.525%

Answer:

Solution given:

first total no of students [FD]=396

next total no of students [ND]=505

increase %=?

we have

increase %=[tex]\frac{ND-FD}{FD}×100=\frac{505-396}{396}×100=27.525%[/tex]%

Increase in students

505-396109

Percentage increase

109/396×10027.5%

Factor the expression 9x^2 - 30x + 25 I need help

Answers

Answer:

(3x - 5)²

Step-by-step explanation:

When we expand (3x - 5)², we get:

(3x - 5) (3x - 5)

When we multiply, we get:

9x² - 30x + 25

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

Have a great summer :)

Answer:(3x-5)(3x-5)

Step-by-step explanation: it's the answer for

What type of graph uses intervals to show the frequency of data?
+
A. Bar graph
B. Line graph
C. Histogram
O D. Circle graph
SUB

Answers

Histogram is the answer
the answer is c

c.histogram

Which graph shows the solution to the system of linear inequalities?
x+5y>5
Y<2x+4
PLEASE HELP!!!

Answers

Answer:

x+5y >5 => red

y< 2x+4 => blue

Step-by-step explanation:

you can substitute x and y in each inequality to determine

what is the smallest number
5/3, 6/5, .9, 1, 1.3, 7/5
A. 5/3
B. 1.3
C. 7/5
D. .9
E. 6/5
F. 1
offering all my points this is needed!!!

Answers

The answer is D .9
All the other answers are larger

I will give u brainliest and 5 star and thanks if its correct

Answers

Answer:

It's B and E

Step-by-step explanation:

PLZ HELP ASAP
If the surface area of the rectangular prism is 224 cm 2 , what is the height?



8 cm
10 cm
6 cm
12 cm

Answers

the height of the prism is 12 centimeters

Which pair of angles is complementary?
V
31°
56°
699
340
o

Answers

Answer: C

Complementary angles have a sum of 90 degrees. So to solve you would add each angle to the other to see if they add up to 90 degrees.

A. 31 + 69 = 100 (does not equal 90, so no)

B. 90 + 90 = 180 (they equal 180, which would be supplementary)

C. 56 + 34 = 90 (they equal 90, therefore they would be the complimentary angles)

Need help on number 3 please!!

Answers

Answer:

f(x) - g(x) = x - 3

Step-by-step explanation:

f(x) - g(x)    starting with the basic equation

2x - (x + 3)    implementing the values into equation

x - 3       subtracting x and 3 from 2x making 2x into 1x (or just x) and making a       negative 3

Find the distance between the points (6, –3) and (4,3).

Answers

Please mark brainliest

Answer is

Exact Form: 2√10

Decimal Form: 6.32455532

Explanation:

See the image fir details steps


The cost of Cynthia's dinner is $15.20. She pays an additional tip that is 20% of the cost of the dinner. What is the best estimate for the amount of the tip?

Answers

Answer:

$3 (not exact, this is an estimate)

Step-by-step explanation:

Since it is estimate, it is not the exact amount. 20% is 1/5 and 15/5 = 3 so 1/5 or 20% is 3.  the best estimate for the amount of tip is $3.

1. Find the value of x to the nearest tenth

A. 8.1
B. 7.5
C. 8.9
D. 7.9

Answers

Answer:

C.

[tex]x = 2( \sqrt{ {6}^{2} - {4}^{2} } ) \\ x = 2( \sqrt{20} ) \\ x = 8.9[/tex]

1.en cada unos de los siguientes monomios identificó el coeficiente y la parte literal , halló el grado y el valor numérico para los valores . ×=3,Z =5. (a) 3ײ (b) 4ײ y (c) - 5ײy²z². ​
porfa me ayudan

Answers

I wish I could understand your language I DONT KNOW THOUGH SORRY

Find the coordinates of the
x
-intercepts for the equation of the graph below.
y
=
x
2
+
9
x

Answers

Answer:

Step-by-step explanation:

How to add a great answer

ADD YOUR ANSWER

Question

Find the coordinates of the

x

-intercepts for the equation of the graph below.

y

=

x

2

+

9

x

John gets paid $76 a day at his new job printing t-shirts. He also earns $2.50 for every t-shirt sold. Create
and equation to describe how much money John makes in a day. Write the equation for this problem in
function notation. Then interpret how much money John would makes in one day after selling 32 t-shirts.
Make sure to define your variables and show all of your work.I swear who ever answers this I will Give them brainlist please help

Answers

Answer:

y=76+2.5x where y is the amount he earns in a day and x is the number of tshirts sold

y=76+2.5(32)

y=76+80

y=156

he earns 156 dollars if he sold 32 tshirts

Step-by-step explanation:

A computer store bought a program at a cost of ​$40 and sold it at a selling price of ​$32.5. Find the percent markdown (Rounded to a whole number) .

Answers

Answer:

answer is 18.76 percent.

Step-by-step explanation:

CP= $40

SP= $32.5

Markdown percent=?

now,

markdown %= CP-Sp/CP×100%

=7.5/40×100%

=750/40

=18.75%

The amount to be reduced is:  $40 -  $32.5 =  $7.5

The percentage decrease is: (7.5 : 40) * 100 = 18.25%

A rancher planned to fence 6 1/2 acres of land to grow some experimental grasses. After he had finished fencing 4 3/4
acres of the land, it started snowing. How many acres of the land remained to be fenced?

Answers

Answer:

1 3/4 acres

Step-by-step explanation:

6 1/2 - 4 3/4 = the remaining acres to be fenced.

we can bring all numbers to "quarters" (1/4th) to be able to make that subtraction.

6 1/2 = 13/2 = 26/4

4 3/4 = 19/4

so, 26/4 - 19/4 = 7/4 = 1 3/4 acres still to be fenced.

does this graph represent a function ? why or why not

Answers

Yes because it passes the vertical line test (meaning that every x-value has exactly one y-value)

Answer:

yes

Step-by-step explanation:

it passes the verticle line test which states that if you put a verticle line anywhere on the graph it will only have one point in where the two lines intersect


Alexandra worked 5 hours, 4.5 hours, and 2.5 hours. The mean number of hours worked was 4. What is the mean absolute deviation?

Answers

Answer:

1

Step-by-step explanation:

5-4 = 1

4.5-4 = 0.5

2.5-4 = -1.5 but use absolute value which is +1.5

add all three values together:

1 + 0.5 + 1.5 = 3

3÷3 = 1

Lily weighs 57.7 kg while her sister weighs 59.02 kg, how much more does Lily's sister weigh then her? Please provide the calculation!

Answers


The answer is 1.32

For this calculation, assuming that no conversions are required, the calcitonin goes as follows:


All that is needed is to subtract 57.7 from 59.02.

59.02 - 57.7 = ?

59.02 - 57.7 = 1.32

Hope this helps! Have a great day.

tamara find the sum of two number cubes rolled at the same time. The chart below shows all possible sums from the 36 possible combinations when rolling two number cubes. How many times should tamara expect the sum of the two cubes be equal to 5 if she rolls the two number cubes 144 times?

Answers

Answer:

the answer would be 20 :)

Step-by-step explanation:

Raj is travelling to another country.
He flies for 5 hours at an average speed of 950 km/h on one plane.
He then flies for 6 hours 30 minutes at an average speed of 830 km/h on a second plane.
What is the total distance, in km, he travelled by plane?

Answers

Answer:

9,315 km

Step-by-step explanation:

Recall that distance = rate times time.

The distance flown at 950 km/h is (950)(5) km = 4,740 km

and:

The distance flown at 830 km/h is (830)(5.5) km = 4,565 km

Then the total distane Raj traveled is (4,740 km + 4,565 km) = 9,315 km

Find the 7th term in the
sequence
-4,-8, -16,...
P
Hint: Write a formula to help you.
1st term . Common Ratio desired term - 1)

Answers

Answer:

-1,024

Step-by-step explanation:

4×2=8

8×2=16

and so on repeating 7 times

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