A light post is 4 ft tall and cast a shadow of 5 ft. Find the distance between
the top of the post and the end of the shadow.

O 9 ft
O 6.4 ft
O 3 ft
O 4 ft

Answers

Answer 1

Answer:

6.4 ft

Step-by-step explanation:

Let “a” be the light post height

Let “b” be the length of the shadow

Let “c” be the distance from the top of the light post to the end of the light post’s  shadow.

Then:

(a X a) + (b X b) = c X c

The Pythagorean Theorem will work pretty well here:

(4 X 4) + (5 X 5) = 16 + 25 = 41

The square root of 41 is: 6.4023

So, about 6.4 ft from the top of the post to the end of the shadow

Answer 2

Answer:

6.4ft

Step-by-step explanation:


Related Questions

Craig filled 1/3 of a bag with black beans and 2/6 of the same bag with red beans. What fraction of the bag did Craig fill with beans?

A.1/3
B.3/9
C.1/2
D.2/3

Answers

Answer:

D. 2/3

If 2/6 equals 1/3, then 1/3 + 1/3 = 2/3.

Answer:

4/6

Step-by-step explanation:

Make 1/3 into 6 as its denominator.

1 x 2 = 2

3 x 2 = 6

Black beans fill up 2/6 of the bag.

Red beans fill up 2/6 of the bag.

Find out what is the fraction both bags fill up altogether.

2/6 + 2/6 = 4/6

Carl has $25.00 to spend o six packs of soda for the dance. If the cost of one-six pack is $2.50, which inequality could be used to represent this relationship?

Answers

Answer:

25 ≤ 2.5n

Step-by-step explanation:

Total budgeted amount = $25

Cost per pack of = $2.50

To represent the relationship using inequality :

Let the Total number of packs purchased = n

Hence,

Total budgeted amount ≤ (cost per pack * number of packs)

25 ≤ 2.5n

This means the total actual purchase made should be less than or equal to the budgeted amount.

Claim shape a is a rectangle please help

Answers

Answer:

ummkmmmm

Step-by-step explanation:

Answer:

No, the shape is not a rectangle.

Step-by-step explanation:

A rectangle is a 2-dimensional shape with two sets of parallel sides and four right angles. Shape a has both sets of parallel sides, but the corners of the figure are not right angles. It is a rhombus. So, the answer is no, the shape is not a rectangle.

Good luck ^^

Um vendedor de frutas saiu com 372 bananas se eu voltar para casa trazer 129 bananas quantas bananas ele vendeu operação e resposta?

Answers

Responder:

243

Explicação passo a passo:

Dado que :

Número inicial de bananas = 272

Número de bananas devolvidas com = 129

Para obter o número de bananas vendidas, usamos a operação de subtração do número de bananas com que ela saiu de casa e do número de bananas com que voltou.

Portanto, número de bananas vendidas:

372 - 129 = 243

Mr. Ramirez burns 236 calories riding his bike each hour. He wants to burn more than 590 calories riding her bike at the same rate. Which inequality represents all possible values for t, the number of hours Mr. Ramirez must ride his bike to burn more than 590 calories?

Answers

Answer:

t > 2.5

Step-by-step explanation:

590/236 = 2.5

t > 2.5

Annabelle's password is a 3-digit code that uses the numbers 0, 1, and 2. How many possible outcomes are there for Annabelle's password if the digits can repeat itself.

Group of answer choices

21

27

9

3

Answers

Answer:

9

Step-by-step explanation:

0,1,2

0,2,1

1,2,0

1,0,2

2,0,1

2,1,0

2,2,2

1,1,1

0,0,0

Please help me with this one

Answers

Answer:

2/36

Step-by-step explanation:

The only outcomes that lead to a sum of 3 are (2,1) and (1,2) therefore there is only a 2 in 36 chance of rolling a sum of 3

Do the side lengths 9,12, and 17 form a right triangle?

Answers

Answer:

no

Step-by-step explanation:

Using the converse of Pythagoras' identity

If the square of the longest side is equal to the sum of the squares of the other 2 sides then the triangle is right.

longest side = 17 and 17² = 289

9² + 12² = 81 + 144 = 225 ≠ 289

Then the triangle is not right

In how many ways can 3 red balls , 4 blue balls and
5 white balls be selected from 5 red balls, 5 blue
balls and 7 white balls ?​

Answers

Answer:

1050 ways

Step-by-step explanation:

Total Number of red balls = 5

Total Number of blue balls = 5

Total Number of white balls = 7

Number of red balls selected = 3

Number of blue balls selected = 4

Number of red balls selected = 5

Using the multiplication and combination relation :

nCr * nCr * nCr

Red balls = 5C3

Blue balls = 5C4

White balls = 7C5

Using calculator:

5C3 * 5C4 * 7C5 = 10 * 5 * 21

(10 * 5 * 21) = 1050 ways

Light travels at a rate of about 9,460,528,400,000,000 m per year. approximately how many meters does light travel per second? choose one answer
(A) 3x10^8 meters per second
(B)3X10^9 meters per second
(C) 3x10^10 meters per second

Answers

Answer:

A

Step-by-step explanation:

Carlos has 4.5 pounds of flour she needs three out of 4 pound of flour to make pizza what is the greatest number of pizzas Carlos can make.

Answers

Answer:

6 pizzas

Step-by-step explanation:

divide 4.5 by 3/4

x-11/(1/7)= -1 bjkgipbgiukffgk

Answers

Answer:

sorry but I think your question is not correct

1. Invert and multiply.
x − 11 • 7 = −1
x − 11 • 7 = −1

2. Simplify 11×7 to 77.
x − 77 = −1

3. Add 77 to both sides.
x = −1 + 77

4. Simplify −1 + 77 to 76.
x=76

In a cookie jar, ¼ of the cookies are chocolate chip, and ½ of the rest are peanut butter. What fraction of all the cookies is peanut butter?

Answers

1/8 of the cookies are peanut butter

imagine you divide the jar into 4 parts and one of those parts is filled with chocolate chip. then, you divide all those four parts in half and end up with eight parts. one of those parts is filled with peanut butter cookies.

Dionte needs to make at least $140 over winter break to pay back his parents. If he makes $15 per sidewalk that he shovels for, how many sidewalks must he shovel to meet his goal?

Answers

15 dollars from 1 sidewalk

140 dollars from ? sidewalks

140/15 =9.333(bar)

Dionte needs to shovel 10 sidewalks

5. The circle graph below shows 500 tickets
sold at a school concert.
17%
Adults
24%
Students
Children Under 12
Seniors
55%
How many tickets were sold to students?
A 55 tickets
B 120 tickets
C 225 tickets
D 275 tickets

Answers

D. Because 500 x 0.55= 275

Can anyone solve for x? Please.

Answers

Answer:

[tex] \frac{20}{24} = \frac{22}{x + 22} \\ 24 \times 22 = 20x + 20 \times 22 \\ 20x = 4 \times 22 \\ x = 88 \div 20 = 4.4[/tex]

Find the area. Round to the nearest tenth.

Answers

Answer:

YOU DONT KNOW HOW TO ROUND SMH

Step-by-step explanation:

LEARN KID LEARN CMON ITS EASY

Representar las rectas a, b y c y determinar si son paralelas (o perpendiculares) dos a dos. A: y=−3x+5 | b: y =x/3+2 | c: y=−3x+1

Answers

Answer:

A y C: paralelas

B y A: perpendiculares

B y C: perpendiculares.

Step-by-step explanation:

Sea una recta:

f(x) = a*x + b

Donde a es la pendiente y b es la ordenada al origen.

Otra recta va a ser paralela a esta si tiene la misma pendiente, pero una diferente ordenada al origen, por ejemplo:

g(x) = a*x + c

Y una recta perpendicular a f(x) tendría una pendiente p = -(1/a)

Entonces podemos escribir la línea perpendicular a f(x) como:

h(x) = -(1/a)*x + c

Ahora veamos nuestras líneas:

A(x) =  y = −3*x+5

B(x) = y = x/3+2 = (1/3)*x + 2

C(x) = y = -3*x + 1

Primero veamos cuáles son paralelas:

A(x) y C(x) tienen la misma pendiente (-3) y diferente ordenada al origen, entonces  A y C son paralelas.

Sabiendo que la pendiente de A y C es -3, una línea perpendicular a esta tendría una pendiente:

-(1/-3) = 1/3

Que es justamente la pendiente que tiene la línea B, entonces podemos concluir que B es perpendicular a las líneas A y C.

A y C: paralelas

B y A: perpendiculares

B y C: perpendiculares.

2/7 done! If it’s right I will put brainliest!

Answers

Answer:

The name of the marked angle is (angle BAD)

Step-by-step explanation:

The lengths of two sides of a triangle are 24 inches and 43 inches. What is the range of the possible lengths, in inches, for the third side, x, of this triangle?

Answers

Answer:

19 < x < 67

Step-by-step explanation:

triangle inequality theorem:

x + 24 > 43

43 + 24 > x

The range of the possible lengths, in inches, for the third side, x, of this triangle with two sides of a triangle are 24 inches and 43 inches is,

⇒ 19 < x < 67

What is mean by Triangle?

Any triangle which is a three sided polygon, and, has three vertices and three angles which has the sum 180 degrees.

We have to given that;

The lengths of two sides of a triangle are,

⇒ 24 inches

And,  43 inches.

Hence, The range of the possible lengths, in inches, for the third side, x, of this triangle is find as;

⇒ 43 - 24 < x < 43 + 24

⇒ 19 < x < 67

Therefore, The range of the possible lengths, in inches, for the third side, x, of this triangle with two sides of a triangle are 24 inches and 43 inches is,

⇒ 19 < x < 67

Learn more about the triangle visit;

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How do you find this answer?

Answers

Answer:

if we use Pythagorean method, we  could know that A^2+B^2=C^2, so 5^2+12^2 equals 169, and 169 is 13^2

Step-by-step explanation:

Use the tables to complete the statements,
Single Taxpayers: Income Brackets
Tax Rate Income Bracket
10%
O to 9,525
12% 9,526 to 38,700
22% 38,701 to 82,500
24% 82,501 to 157,500
32% 157,501 to 200,000
35% 200,001 to 500,000
37%
> 500,000
Single Taxpayers: Qualified
Dividends and Long-Term
Capital Gains
Tax Rate
Income Bracket
0%
O to 38,600
15% 38,601 to 425,800
20%
> 425,800
If she earned
Rita has a taxable income of $85,000. She sold stock after owning it for six months, resulting in a
$5,000 on the sale of the stock, Rita must pay $ In taxes on the gain,

Answers

Answer:

Short term Capital gain and $1200

Step-by-step explanation:

Any investment held under a year falls under short term capital gain

5,000 X 0.24 = 1,200

Answer:

Short term Capital gain and $1200.

Step-by-step explanation:

short term capital

Gains earned by selling assets you’ve held for a year or less are called short-term capital gains, and they generally are taxed at the same rate as your ordinary income, anywhere from 10% to 37%.

Since Rita has a taxable income of $85,000.

So , she fall 24% 82,501 to 157,500 Tax rate bracket.

Therefore     5,000 X 0.24 = 1,200

Thus Rita must pay $1200 in taxes on the Short term Capital gain made by her.

click here to know more about the short-term capital gains.

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(45 points)


(1) It takes 4 eggs for 5 waffles. How many more waffles can 6 eggs make?

(2) A 1-lb. mix will make 32 biscuits. How many ounces of mix are needed for 24 biscuits?

I NEED THIS ASAP!

Answers

Answer:

1). 6 eggs = 7.5 waffles 2). 8 ounces for 24 biscuits

Step-by-step explanation:

Points (3, 2) and (7, 2) are on the graphs of both quadratic functions f and g. The graph of f opens downward, and the graph of g opens upward. Which of these statements are true?

1. The graphs of f and g have the same axis of symmetry.
2. The graphs of f and g have the same x-intercepts.
3. The graph of f has a maximum point, and the graph of g has a minimum point.
4. The graph is a result of a reflection of the graph pf g across the x-axis.

Answers

Answer: I and III

Step-by-step explanation:

The graphs of f and g have the same axis of symmetry. The graph of f has a maximum point, and the graph of g has a minimum point. The graph is a result of a reflection of the graph pf g across the x-axis. The correct options are 1, 3, and 4.

What is quadratic function?

A quadratic polynomial in mathematics is a polynomial of degree two in one or more variables. The polynomial function defined by a quadratic polynomial is known as a quadratic function.

We can use the fact that the points (3,2) and (7,2) are on the graphs of both functions to find out which of the given statements are true.

Let's start by using the fact that the graphs of the functions f and g pass through the points (3,2) and (7,2).

Since the y-coordinate is the same for both points, we can set the equations of the functions equal to 2 and solve for the unknown coefficients.

For the downward-opening quadratic function f, the equation is of the form:

[tex]f(x) = a(x - h)^2 + k[/tex]

Where (h,k) is the vertex of the parabola. Since f opens downward, the coefficient a is negative.

Using the point (3,2), we get:

[tex]2 = a(3 - h)^2 + k[/tex]

Using the point (7,2), we get:

[tex]2 = a(7 - h)^2 + k[/tex]

Subtracting the second equation from the first, we get:

[tex]0 = a[(3 - h)^2 - (7 - h)^2][/tex]

Simplifying this expression, we get:

0 = a[(3 - h + 7 - h)(3 - h - (7 - h))]

0 = a[-4(h - 5)]

Since a is non-zero (otherwise the parabola is not quadratic), we get:

h = 5

Plugging in h = 5 and using one of the equations above, we can solve for k:

[tex]2 = a(3 - 5)^2 + k[/tex]

2 = 4a + k

k = 2 - 4a

Therefore, the equation of the quadratic function f is:

[tex]f(x) = a(x - 5)^2 + (2 - 4a)[/tex]

Using the same method for the upward-opening quadratic function g, we get:

[tex]g(x) = b(x - 5)^2 + (2 + 4b)[/tex]

Where b is positive.

Now, let's check which of the given statements are true:

The graphs of f and g have the same axis of symmetry.

Since the vertex of f is (5, 2 - 4a) and the vertex of g is (5, 2 + 4b), the x-coordinate of the axis of symmetry for both functions is 5. Therefore, statement 1 is true.

The graphs of f and g have the same x-intercepts.

The x-intercepts of f are given by:

[tex]0 = a(x - 5)^2 + (2 - 4a)\\4a = a(x - 5)^2[/tex]

x - 5 = ±√(4/a)

x = 5 ± 2√(a)

The x-intercepts of g are given by:

[tex]0 = b(x - 5)^2 + (2 + 4b)[/tex]

-4b = [tex]b(x - 5)^2[/tex]

x - 5 = ±√(-4/b)

x = 5 ± 2i√(b)

Thus, since a and b have opposite signs, the x-intercepts of f and g are different. Therefore, statement 2 is false.

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NEED HELP ASAP !!

A. x=14; angle measure is 30°
B. x=14; angle measure is 42°
C. x=14; angle measure is 30°
D. x=10; angle measure is 42°​

Answers

Answer:

C

Step-by-step explanation:

i dont really know anything about angles but it looks like the 3x is the exact same angle as 30 degrees on the other side of it

3x=30

x=10

c i believe if you need an explanation lmk

Una muestra de 800 gramos de avellana con cáscara tiene 500 gramos de grano. ¿cuántosgramos de grano habrá en 2,4 kg de avellana con cáscara?

Answers

Answer:

1500 grams of grain

Step-by-step explanation:

How many grams of grain will there be in 2.4 kg of shelled hazelnuts?

Step 1

Convert kg to g

1 kg = 1000g

2.4 g = x

Cross Multiply

x = 2.4 × 1000g = 2400g

Step 2

An 800 gram sample of shelled hazelnuts has 500 grams of grain.

Hence,

800g hazelnuts = 500 gram of grain

2400g hazelnuts = x

Cross Multiply

800x = 2400g × 500g

x = 2400g × 500g/800

x = 1500 grams of grain

PLSS HELP IMMEDIATELY!!!! ILL MARK BRAINIEST IF U DONT LEAVE A LINK OR GUESS!!!!!

Answers

Answer:

the volume will be 56 m³

because it is made of 56 cubes of 1m ³ volume

I hope it helps

Answer:

1/3 cubic unit

Step-by-step explanation:

Can u please help me with this answer ??

Answers

It will take him 10 hours since 200(4)=800 and thus, 2.5(4)=10

Answer:

C) 10 hours

Step-by-step explanation:

(2.5/200)(800) = 10

What is the volume of the triangular prism shown below?
8 cm
3 cm
13 cm
A 143 cm
B 312 cm
C 156 cm
D
Not here

Answers

Answer:

156 cm

Step-by-step explanation:

Help please! No links!

For the following box plot, determine whether the given numbers would be considered outliers.
(Use the "IQR X 1.5" method.)

A. A height of 61 in.

B. A height of 69 in.

C. A height of 74 in.

D. None of these would be considered outliers.​

Answers

Answer:

D option is your answer bro

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