A flagpole casts a shadow that is 50 feet long At the same time, a woman standing nearby who is five and a half feet tall casts a shadow 4 feet long How tall is the flagpole? Draw a picture to help, if needed

Show your work please :’).

9514 1404 393

Answer:

  x = y = (√10)/2

Step-by-step explanation:

In an isosceles right triangle, the side lengths are equal, and they are equal to (√2)/2 times the hypotenuse length.

  x = y = (√5)(√2)/2

  x = y = (√10)/2

Answer:

x = y = [tex]\frac{1}{2}[/tex] [tex]\sqrt{10}[/tex]

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin45° = [tex]\frac{\sqrt{2} }{2}[/tex]

sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{\sqrt{5} }[/tex] = [tex]\frac{\sqrt{2} }{2}[/tex] ( cross- multiply )

2x = [tex]\sqrt{10}[/tex] ( divide both sides by 2 )

x = [tex]\frac{1}{2}[/tex] [tex]\sqrt{10}[/tex]

Since the base angles are 45° then the triangle is isosceles with both legs congruent , thus

x = y = [tex]\frac{1}{2}[/tex] [tex]\sqrt{10}[/tex]

Answer:

first one is 4.5 second one is 45

Step-by-step explanation:

Answer and step-by-step explanation:

I believe it is 287. I am not entirely sure, but I believe that is the answer.

Answer:

13.5

Step-by-step explanation:

I am not 100% sure but I really hope this helps you.

Answer:

If given enough information yes

Step-by-step explanation:

If you were given the weight and the distibution of the weight and the elasticity of the cup, as well as the trajectory of the cup and the force it was thrown at, and the proportions of the cup, its shape, where it's landing, etc. You could give a definitive probability. For example, If there is more weight at the bottom of the cup it might be less probable to land on it's side

Answer:

f(-5) = 25

f(0) = -2

f(5) = 16

Step-by-step explanation:

Given the functions;

To get f(-5), we will use the function of x where x is less than 0 since -5 is less than zero

at where x < 0, f(x) = x^2

f(-5) = (-5)^2

f(-5) = 25

b) For f(0), where the point where x = 0, f(x)= -2

Hence the value of f(o) = -2

c) For f(5), the function where x > 5 is f(x) = 2x+6

f(x) = 2x+6

f(5) = 2(5)+6

f(5) = 16

Answer:

The expected gain per warranty is $27.65, crazy stuff

Step-by-step explanation:

If the estimate is right, there is a 0.1% probability for each extended warranty that the company has to shell out $350 (we disregard the situation where the replacement fails too, because there is no info that lets us deal with that).

This brings us to cost for the company equal to 0.1%*$350 per warranty sold.

0.1%*$350 = 0.001*$350 = $0.35

And the company gets $28 for each warranty sold, hence they earn

$28 - $0.35 = $27.65

on average.

Answer:7ft

Step-by-step explanation:

i got it right

Step-by-step explanation:

sorry i am unable to understand what it is asking but if you inform me more i would love to help

.Answer:

The answer is .31

Step-by-step explanation:

When there is a “th” at the end of the number it signals that the number is to the right of the decimal.

Tenths are immediately to the right of the decimal, next is hundredths, then thousandths, and so on.

Answer:

94.2 ft of fencing

Step-by-step explanation:

To answer this, find the circumference, C, of the garden, using the circumference formula C = 2(pi)r.

Here, with r = 15 ft, we get C = 2(3.14)(15 ft) = 94.2 ft of fencing will enclose this garden.

Answer:

D). 10699

Step-by-step explanation:

D is right the math is hard to explain.

Answer:

150 degrees

Step-by-step explanation:

Answer:

You need 180 degrees for a triangle so, you subtract 150 from 180.

You get 30 degrees.

Then, you subtract 30 from 180 in order to find the degree of x.

The number for x is: 150 degrees

I hope this helps ! :)

Step-by-step explanation:

Answer:

25/256

Step-by-step explanation:

(5/16) / (3 1/5)

(5/16) / (16/5)

(5/16) * (5/16)

5*5 / 16*16

25/256

Answer:

V = 125 in^3

Step-by-step explanation:

A cube has 6 sides, and the area of each is equal to the side length squared:

A = 6x^2

A is given as 150 cm^2, and so is equal to 6x^2.  Thus, x = the side length = 5 cm.

The volume of the same cube is given by V = x^3, which here is 5^3 in^3, or V = 125 in^3

Answer: 75%

Step-by-step explanation:

We convert 2 litres into 1000ml which leaves us with:

750/1000 x 100 = 75%

Answer:

37.5%

Step-by-step explanation:

as a percentage it is (750 * 100)/2000

= 750 / 20

= 75/2

= 37.5%.

Answer:

The answer is D. Green; The experimental probability is 22.7%, and the theoretical probability is 15%.

Answer: a school must transport 200 students

Step-by-step explanation:

Answer:

eleven r plus seven s

Step-by-step explanation:

thats the written form

Answer:

Area of shaded region = 13.07 unit² (Approx.)

Step-by-step explanation:

Given:

Given shaded region is a segment

Radius of circle = 12

Given angle = 60°

Find:

Area of shaded region

Computation:

Area of shaded region = Area of segment

Area of segment = (θ/360)(π)(r²) - (1/2)(sinθ)(r²)

Area of segment = (60/360)(22/7)(12²) - (1/2)(sin60)(12²)

Area of segment = (0.1667)(3.14)(144) - (0.5)(0.866)(144)

Area of segment = (75.42) - (62.35)

Area of segment = 13.07 unit²

Area of shaded region = 13.07 unit² (Approx.)

Answer:

x=-1

Step-by-step explanation:

use math a way

Answer:

a

Step-by-step explanation:

To prove congruence

1 ∠ A ≅ ∠ C → given

2 ∠ DEA ≅ ∠ BEC → vertically opposite angles

3. AE ≅ EC → given

We then have 2 angles and the included side ( side between the 2 angles )

congruent in both triangles, thus Δ AED ≅ Δ CEB ( ASA postulate )

Zoes' error was in assuming ∠ DEA ≅ ∠ BEC was given

Zoe used an invalid reason to justify the congruence of a pair of sides or angles.

Option a is correct.

From given diagram it is observed that,

Line segment AD and CB are parallel and AC is transversal line. So that alternate angles A and C are equal.

                            [tex]\angle A=\angle C[/tex]

When two lines intersect at any point then vertically opposite angles are equal.

So that,          [tex]\angle DEA=\angle BEC[/tex]

Given that ,   [tex]AE=EC[/tex]

The Angle-Side-Angle Postulate (ASA) states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

Hence, both triangles are congruent to each other.

Learn more:

https://brainly.com/question/25920974

Each shape is 1 whole. Estimate to divide each into equal parts (do not draw fourths). Divide each whole using a different fractional unit.

Images has been attached showing 3/4 of the shapes are squares.

Given that,
To draw a set of shapes where 3/4 of the shapes are squares.​

In congruent geometry, the shapes that are so identical. can be superimposed on themselves.

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

Here,
There are 3 squares and 1 nonregular quadrilateral, total = 4
the ratio of 3 squares to the total shapes = 3 / 4

Thus, Images has been attached showing 3/4 of the shapes are squares.

Learn more about congruent geometry here. https://brainly.com/question/12413243

#SPJ2

Answer: SA≈27.1.

The formula is SA=2πrh+2πr2.

The radius is 0.75 since 1.5 divided by 2=0.75.

Plug it in.

Answer:

0.54 or 54%

Step-by-step explanation:

P( 1st but not second) = P(1st) - P(1st and Second) = 0.4 - 0.28 = 0.12 = 12%

P( 2nd but not first) = P(2nd) - P(1st and Second) = 0.7 - 0.28 = 0.42 = 42%

Probability of 1 of them (exactly one) = P( 1st but not second) + P( 2nd but not first) = 0.12 (12%) + 0.42 (42%) = 0.54 or also 54%.

Hope this helps!

Answer:

0.6?

Step-by-step explanation:

confused by the question but thats the middle decimal..

Answer:

1 = 20°

2 = 90°

3 = 70°

4 = 55°