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3 years ago

The shadow of a flagpole at 10 a.m. is 4 feet. The shadow of a 7 foot person is 1.4 feet. How tall is the flagpole?

2 answers:

8 0

Flagpole height is 50 ft.

Explanation:
This is a ratio problem

height of object
—————————-
length of shadow

Let the height of the flagpole be x

—> 6 x
— = —-
3 25

x = 6 x 25
———- = 50 ft
3

diamong [38]3 years ago

3 0

Answer:

20 feet

Step-by-step explanation:

7/1.4=5

5*4=20

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This soda can is going to be made from aluminum. How many square centimeters of aluminum are needed if the radius r = 3.5 cm and

kari74 [83]

208.81 square centimeters of aluminium are needed

Solution:

Given that,

Radius = 3.5 cm

Height = 6 cm

We have to find the square centimeters of aluminum needed

So we have to find the surface area of cylinder

The surface area of cylinder is given by formula:

$A = 2 \pi r(h+r)$

Where "r" is the radius and "h" is the height of cylinder

Substituting the values we get,

$A = 2 \times 3.14 \times 3.5 \times (6+3.5)\\\\A = 21.98 \times 9.5\\\\A = 208.81$

Thus 208.81 square centimeters of aluminium are needed

8 0

3 years ago

Write the equation of the line in slope-intercept form passing through the points (-4,2) and (1,12)

alexira [117]

Answer:

y = 2x + 10

Step-by-step explanation:

Find the slope:

12 - 2 / 1 - (-4)

10 / 5 = 2

Write in point-slope form:

y - 12 = 2(x - 1)

rearrange:

y - 12 = 2x - 2

y = 2x + 10

6 0

3 years ago

The ratio of the geometric mean and arithmetic mean of two numbers is 3:5, find the ratio of the smaller number to the larger nu

IgorC [24]

Answer:

$\frac{1}{9}$

Step-by-step explanation:

Let the numbers be x,y, where x>y

The geometric mean is

$\sqrt{xy}$

The Arithmetic mean is

$\frac{x + y}{2}$

The ratio of the geometric mean and arithmetic mean of two numbers is 3:5.

$\frac{ \sqrt{xy} }{ \frac{x + y}{2} } = \frac{3}{5}$

We can write the equation;

$\sqrt{xy} = 3$

$xy = 9 - - - (2)$

and

$\frac{x + y}{2} = 5$

$x + y = 10 - - - (2)$

Make y the subject in equation 2

$y = 10 - x - - - (3)$

Put equation 3 in 1

$x(10 - x) = 9$

$10x - {x}^{2} = 9$

${x}^{2} - 10x + 9 = 0$

$(x - 9)(x - 1) = 0$

$x =1 \: or \: 9$

When x=1, y=10-1=9

When x=9, y=10-9=1

Therefore x=9, and y=1

The ratio of the smaller number to the larger number is

$\frac{1}{9}$

3 0

3 years ago

Haeden observed that 65% of her coworkers prefer the local talk news radio station. If 28 of her coworkers do not prefer talk ne

vekshin1

Part A

Let x represent the number of coworkers who prefer the talk news radio.

$65$ % prefer the talk news radio,

$100-65=35$ % will be the percentage that corresponds to coworkers who do not prefer the talk news radio.

Part B

We apply ratio to find x.

$65:x$

$35:28$

Hence number that corresponds to 65% will be greater than 28.

If more, less will divide.

This implies that,

$x=\frac{65\times 28}{35}=52$

Hence 52 of her coworkers prefer the local news talk station.

5 0

3 years ago

Jimmy loaded three bags of sand into his wheelbarrow. The bags weighed 24

Rudik [331]

The whole numbers add up to 100. So now we are left with 1/2 or 0.5, 3/5 or .60, and 1/8 or .125. Those add up to 1.225 so the amount of sand in pounds in the wheelbarrow is 101.225. Hope I helped! If you have any questions just leave a comment.

3 0

3 years ago