A flagpole casts a shadow that is 26 ft long. At the same time, a yardstick casts a shadow that is 4 ft long. How tall is the flagpole?

Answers

Answer 1

Answer:

Use a proportion:

Yardstick is 3 feet long $(x)/(26) = (3)/(4) \nx=((26)(3))/(4)\nx=19.5 ft$

Related Questions

What is 46/15written in mixed number
What is the LCM of 7 and 9
What plus what equals 800 in three different ways
Marco's goal is to eat 2000 calories each day one day for breakfast he consumed 310 calories for lunch he consumed 200 more calories than breakfast and for dinner he consumed 800 did he make his goal explain
You are walking for five minutes you walk a distance of 300 meters what is your rate of meters per minutes

Suppose Y varies directly as X, and y = 9 when x = 3/2. Find y when x = 1.

Answers

Answer: The required value of y is 6.

Step-by-step explanation: We are given that y varies directly as x and y = 9 when $x=(3)/(2).$

We are to find the value of y when x = 1.

According to the given information, we have

$y\propto x\n\n\Rightarrow y=k* x~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[\textup{where k is the constant of integration}]\n\n\Rightarrow y=kx~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

When y = 9 and $x=(3)/(2),$ we have from equation (i) that

$9=k*(3)/(2)\n\n\n\Rightarrow k=(18)/(3)\n\n\Rightarrow k=6.$

So, equation (i) becomes

$y=6x.$

Therefore, when x = 1, we get

$y=6*1=6.$

Thus, the required value of y is 6.

to vary directly is to be in proportion

y/x = y/x

9/(3/2) = y
9(2/3) = y
y = 6

An Internet company charges a one-time setup fee of $44.99 and a monthly fee of $29.99 for Internet service. The company is offering a 25% discount on the monthly fee for the first year. Part A Write an expression to determine the cost, after the discount and before tax, of m months of service during the first year.

Answers

12 months of service = $44.99 + 3/4 * 12 * $29.99

Total Cost: $314.90

Triangle M' is the image of triangle M under a dilation.What is the center of the dilation?
A
B
C
D

Answers

Since triangle M' is the image of triangle M under a dilation, the center of the dilation is: B. B.

What is dilation?

In Mathematics and Geometry, a dilation is a type of transformation that is used for altering the dimensions of a geometric figure, but not its shape.

Generally speaking, the coordinates of the pre-image can be dilated by using a scale factor that is centered at the point B by using this mathematical expression:

(x, y) → (k(x - a) + a, k(y - b) + b)

In conclusion, the center of the dilation would be at point B when the three vertex of both triangle M' and triangle M are connected.

Read more on dilation here: brainly.com/question/11812796

#SPJ3

Answer:

Step-by-step explanation:

trust me

What is the volume of the figure

Answers

$3^(3)+3^(3) + 3^(3) =>$

$\n \n 27+27+27 = \n \n =\framebox[1.1\width]{ 81 } \par \n \n \framebox[1.1\width]{ Good Luck } \par$

3³ + 3³ + 3³ = 27+27+27 = 81 cm³

There were 1200 boys at a school assembly. The ratio of boys to girls at the assembly was 20:23. How many girls were at the assembly?

Answers

The required number of girls in the school assembly is 1380.

Given,
There were 1200 boys at a school assembly. The ratio of boys to girls at the assembly was 20:23. Number of girls in the assembly line is to be determined

What is the Ratio?

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.
Representation of ratio of two values a and b, ratio = a:b.

Let the number of girls in the school assembly be x.
There were 1200 boys at a school assembly. The ratio of boys to girls at the assembly was 20:23. So the ratio can be written as,
1200 : x = 20 : 23
1200 / x = 20 / 23
x = 1200 * 23 / 20
x = 60 * 23
x = 1380
Here, the number of girls in the school assembly is 1380.

Thus the required number of girls in the school assembly is 1380.

Learn more about ratio here:

brainly.com/question/13419413

#SPJ2

I believe the answer is 1,600 girls

Which set of angles are vertical angles?A) 1 and 7
B) 1 and 4
C) 2 and 4
D) 3 and 5

Answers

b the the right answer hope this helps you :3

Other Questions

A 10 foot tree casts a 4.5 foot shadow.At the same time, what size shadow would a 25 foot flagpole cast?

Four people at Pia’s Pottery Shop each make 29 mugs and 18 pottery bowls. Three people at Jason’a Craft Shop each make the same number of mugs and twice as many bowls. How many objects did the seven people make in all?

~~~20 POINTS~~~Please help me with these two questions.

Jackson weighed 6 pounds 3 ounces when he was born. When he was 4 weeks old, he weighed 128 ounces. How much weight did jacskon gain in those 4 weeks?