lighting if a 25-foot-tall house cast a 75-foot shadow at the same time that a streetlight casts a 60-foot shadow how tall is the streetlight

Answers

Answer 1

Answer:

The street light is 20 feet tall.

Step-by-step explanation:

This question depends on a proportion. Keep your height of the object in one ratio and the length of the shadow in the other.

25/x = 75/60      Notice the height of the structure is on the left. The length of the shadow is on the right. Cross multiply

75x =  60 * 25     Combine the right

75x = 1500          Divide by 75

x = 1500/75

x = 20

The street light is 20 feet tall.


Related Questions

A tub contains red, green and blue counters. There are 20 more red counters than blue counters and one-third of the counters are green. If there are 60 green counters what is the probability of picking a red counter?​

Answers

Answer:

7/18

Step-by-step explanation:

If 1/3 of the counters are green that means that 60 counters are 1/3 of the total number of counters. We can multiply 60 by 3 to find the total number (3/3) of counters: 60 × 3 = 180

Next, we can find out how many counters are blue and green by subtracting 60 from 180: 180 - 60 = 120

If there are 20 more red counters than blue counters, we can write this algebraically as x + (x + 20) = 120. x + 20 is the number of red counters and x is the number of blue counters

To find x, simplify the equation:

2x + 20 = 120

2x = 100

x = 50

There are fifty blue counters, therefore there are 70 red counters. The probability of picking a red counter is 70/180 or 7/18.

Hope this helps!

please solve the following, many thanks!!

Answers

ED: 6.5cm

ME: 4.5Cm


:D

Find the circumference of the circle. You must show all work to get full credit. Don't forget to label your answer. Round to the nearest hundredth.

Answers

Answer:

c ≈ 26.39 yd

Step-by-step explanation:

    The circumference of a circle can be found by multiplying the radius by 2 by pi or by multiplying the diameter by pi.

-> Since they give us the radius, I will use the more-known equation of 2πr

[Given]

c = 2πr

[Plug-in the value of r]

c = 2π(4.2 yd)

[Simplify]

c = 8.4yd * π

[Multiply]

c ≈ 26.39 yd

Which of the following numbers has the correct number of significant digits for the sum of 4.0125 and 5.72?

A. 9.7324
B. 9.732
C. 9.73
D. 9.7

Answers

Answer:

the answer to your question is 9.73

Answer:

A

Step-by-step explanation:

Because according to my calculations there are supposed to be 5 digits and for the answers for the question A is the only letter with an answer with 5 digits.

My answer was 9.7325(even though the answers is different they still have the same number of digits) and for A it is 9.7324 which is another 5 digits.

Here is why I got 5 digits.

4.0125

5.7200

_______

When we add these we have to add 0er's to 5.72 because it doesn't have enough digits to add so you add zero's to it.

So 5 +0=5  2 +0=2  1 +2=3  0 +7=7  and for our last number 4 + 5=9 and so our answer is ?

9.7325

and the 9 = 1 digit 7=2 digit 3= 3 digits 2= 4 digits and last 5 = 5 digits.

Hope this helps have a great day:)

Find the volume of the following cylinder. Use π=3.14
V=

Answers

Step-by-step explanation:

Height of cylinder = 15cm

Radius of cylinder = 8cm

Volume = πr²h

= 3.14×8×8×15

=3.14×960

=3014.4 cm²

Kay rented a table at the fair for $30 and set up her work station. Each ornament that she makes costs approximately $2.50 for materials. She sells each ornament for $6.00. How many ornaments does she have to sell to earn a $40 profit?

Answers

Answer:

20 Ornaments

Step-by-step explanation:

20 + 40 = 70

6.00 - 2.50 = 3.50

70 ÷ 3.50= 20

What is 18x + 6 equivalent expression

Answers

Answer:

A

Step-by-step explanation:

-3×6x=-18x -3×-2=6 -18x+6

4 Find the total surface area of the prism.
5 in.
11 in.
-
-
-
-
-
6 in.
1
1
1
-

Answers

Answer:

121

Step-by-step explanation:

=5+6=11

=11(11)

=121

What about this one?

Answers

Answer:

Answer:

= 1.044

Step-by-step explanation:

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

Answer:

0.36 x 2.9 = 1.044

Step-by-step explanation:

I have a d in her class pleaz help ​

Answers

Answer:

x = 180-(30+50)

=100°

Y = 30+50

=80°

...............................................

I’m guessing it’s D! Hope this helps

Select all the pairs of x and y that are solutions to the system of inequalities:
y <-22 +6
I-y<6
x = 0, y = 0
x=-5. y = -15
x = 4, y = -2
x= 3, y = 0
x = 10, y = 0

Answers

Answer:

y=-15, y=-2, x=10,x=-5

Step-by-step explanation:

Look at the picture below. On the left is a rectangular prism. It is unfolded on the right. What is the term to describe a 3D object that has been “unfolded”?

A. A net
B. A drawing
C. A shell
D. A picture

Answers

Answer:

A. a net

Step-by-step explanation:

I did the test

what is a polygon with 3 sides called?

Answers

Triangle

Hope you ace it

Answer:

A triangle.

Step-by-step explanation:

A polygon with three sides is called a triangle.

If all the lengths and angles of the polygon are equal, it is said to be regular polygon.

A regular polygon having three equal sides is an equilateral triangle.

help with mh geometry please

Answers

show more details

Step-by-step explanation:

This figure represents a design being added to a quilt square. Malcolm wants to add this design in a striped fabric to 12 quilt squares.

What is the area of the quilt that will be striped fabric?


35 cm²

45 cm²

420 cm²

540 cm²

Answers

Step-by-step explanation:

here is the answer. I just took th test

The area of the quilt that will be striped fabric is,

⇒ 420 cm²

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

This figure represents a design being added to a quilt square.

And, Malcolm wants to add this design in a striped fabric to 12 quilt squares.

Now, The figure contain a triangle and a square shape.

Hence, We get;

Area of triangle = 1/2 (Base x Height)

                         = 1/2 (5 x 4)

And, Area of square = side²

                               = 5²

Hence, Total area of figure is,

⇒ 5 × 5 + 1/2 (5 × 4)

⇒ 25 + 10

⇒ 35 square units

Hence, The area of the quilt that will be striped fabric is,

⇒ 35 × 12

⇒ 420 cm²

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Complete question is shown in figure.

Tim has read ​10% of a book. He has 45 more pages to finish. How many pages are there in the​ book?

Answers

if Tim has read 10% of the book, that means he still hasn't read 90% of it yet, and we know that that 90% is 45 pages, so say the book has a total amount of pages of "x", which is 100%.

[tex]\begin{array}{ccll} pages&\%\\ \cline{1-2} 45&90\\ x&100 \end{array}\implies \cfrac{45}{x}=\cfrac{90}{100}\implies \cfrac{45}{x}=\cfrac{9}{10} \\\\\\ 450=9x\implies \cfrac{450}{9}=x\implies 50=x[/tex]

Which number equals (34)−2?


9169 over 16, , ,

−916 negative 9 over 16, , ,

16916 ninths, , ,

−169

Answers

Answer:

916 negative 9 over 16, , ,

Anotha one, irrelevant answers will be deleted! Thank you so much!!​

Answers

Answer:

k = 2; y = 2·x·zx = 10; k = 2y = 192; y = 4·x·zz = 2; k = 3x = 48/9; k = 3/4

Step-by-step explanation:

When we say "y varies jointly as x and z", we mean that y is proportional to x with some constant of proportionality, and also y is proportional to z with some constant of proportionality. The joint variation means that each "constant" of proportionality will depend on the other variable:

  y = k·x·z

This can be solved for the different variables:

  k = y/(x·z)

  x = y/(k·z)

  z = y/(k·x)

__

a)

  k = y/(x·z) = 30/(3·5) = 2; the equation is y = 2·x·z

b)

  k = 2 (read from the equation); x = y/(k·z) = 80/(2·4) = 10

c)

  y = k·x·z = 4·6·8 = 192; the equation is y = 4·x·z

d)

  k = 3 (read from the equation); z = y/(k·x) = 60/(3·10) = 2

e)

  k = 3/4 (read from the equation); x = y/(k·z) = 48/(3/4·12) = 48/9

A pyramid and a prism share the same base. The prism has 99 edges. How many faces does the pyramid have

Answers

A pyramid is a three-dimensional object have one common point at the top. The pyramid will have 34 faces.

A pyramid's base form determines how many faces it has. Since the bases of the prism and the pyramid in this problem are identical, we may utilise the knowledge of the prism to ascertain the number of faces on the pyramid.

Three faces of a prism meet at each vertex. Since there are 99 edges on the prism in this instance, we can divide that number by 3 to get how many vertices there are.

99 ÷ 3 = 33

The pyramid has the same number of edges as the prism since its base is identical to that of the latter. The pyramid does, however, have a second face, which is the base itself.

Therefore, the pyramid has 33 + 1 = 34 faces.

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A student took a test with 32 prob- lems. If he got of the problems cor- rect, how many problems did he get correct?​

Answers

Answer:

He got all 32 correct

Step-by-step explanation:

I got this because it doesn't say about how many he got wrong so it would be 32

Answer:

Likely 32.

He most likely got 32 right if the number is not specified.

Please let me know if you need anything else!

Name the marked angle in 2 different ways.

Answers

The answer is NML and LMN

Evaluate this!!
(Step by step-Explanation needed)​

Answers

Answer:

this is the step thank you

Simplify 4^1 and explain which rule you used.

Answers

Answer:

[tex] {4}^{1} = 4 \\ because \: {a}^{1} = a \\ \: a \: is \: any \: \: real \: number[/tex]

The value of the expression 4¹ will be equal to 4.

What is an exponential expression?

Powers can simply be expressed in concise form using exponential expressions. The exponent shows how many times the base has been multiplied. Since 2 is the "base" and 5 is the "exponent,"

It can be represented as 2x2x2x2=25 for the number 32. This phrase should be understood as "two to the fifth power."

Given that the exponential number is 4¹. The value of the exponent will be calculated as,

E = 4¹

E = 4

From the law of exponents, the value of 4¹ will be 4.

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A large bag contains
14 pounds of pretzels. A small bag contains 30% of the pretzels that
the large bag contains.
How many pounds of pretzels does the small bag contain? Write your answer as a fraction.

Answers

Large bag contains 14

30% of 14 is 3 / 10 times 14 which is 42 / 10 = 21 / 5 pounds of pretzels, in improper form, 4 and 1 / 5th of a pound or 4.2 pounds

please help me!!!!!!!!!!!!!!

Answers

Answer:

D, 4x^2+x+2

Step-by-step explanation:

Substitute for f(x) and g(x)

2(x^2+3)+1/3*(6x^2+3x-12)

2x^2+6+2x^2+x-4

Therefore, 4x^2+x+2

3. A function is defined by the set of ordered pairs {(2,4),(6,2).(3,1)(7,5)}. Which of the
following values is not in the domain of the function?
(1) 7
(3) 3
(2) 6
(4) 4

Answers

The domain includes all values of x.

The ordered pairs show values of both y and x, with x being first (x,y)

All the values of x shown (aka the domain) are: 2,6,3,7

Therefore, 4 is not in the domain

Simplify the expression. -2x + -5 + 8x + -4

Answers

Answer:

6x - 9

Step-by-step explanation:

Simplify by combining the like terms in steps

-2x + -5 + 8x + -4 =(8x - 2x) - (5 + 4) = 6x - 9

Let's see

-2x+(-5)+8x+(-4)-2x-5+8x-4-2x+8x-5-46x-9

slope intercept form: y= -10/7x - 8/7
what is the standard form?

Answers

Answer:

 10x+7y = -8

Step-by-step explanation:

Standard form is Ax + By + C = 0 or Ax + By = C.

The first step is everything is multipled by 7, witch gives you 7y=-10x-8.

To solve that, 10x to both sides must be added, to get 10x+7y-8

Answer:    10x+7y = -8

Explanation:

First we multiply everything by 7 to clear out the denominators.

We get to 7y = -10x - 8

Then add 10x to both sides to arrive at 10x+7y = -8

Standard form is Ax+By = C where A,B,C are integers

In this case we have: A = 10, B = 7, C = -8

Some math textbooks insist that A > 0.

What is the slope of the line that passes through the points (-7, -8) and (-5, -6) ? Write your answer in the simplest form.

Answers

Answer:

[tex]m=1[/tex]

Step-by-step explanation:

Given the following question:

Point A = (-7, -8) = (x1, y1)
Point B = (-5, -6) = (x2, y2)

To find the answer we are going to have to use the formula for slope or rise over run.

[tex]m=\frac{y2-y1}{x2-x1}[/tex]
[tex]m=\frac{-6--8}{-5--7} =\frac{2}{2}[/tex]
[tex]\frac{2}{2} =1[/tex]
[tex]m=1[/tex]

Which means the slope of the line that passes through the points (-7, -8), (-5, -6) is "1."

Hope this helps.

HELP!!!! *30 PONITS*
Translate this to a formula.
five more than the product of a number and 9 equals 4

Answers

Answer:

-1/ 9 i think?

sooo my original answer was this, but i thought of the "five more" wrong

its actually different

check the person below please ignore my answer!

Step-by-step explanation:

5 + 9x = 4 i think

then to solve you subtract 5 on both sides

9x = -1

x = -1/9

Answer:

5 > x+9= 4

OR

5(x + 9) = 4

Step-by-step explanation:

I did the first one for if you are doing inequalities

The second one is if it is a normal equation, in which would be that answer.

Please mark as Brainliest!!

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