which expression is equivalent to 1/2b-15

Using similar triangles formed by the fence, and the house, the top of which the property line passes, the height of the house can be determined.

Reasons:

The given parameters are;

Height of the fence = 12 foot

Length of the shadow cast by the fence = 25 foot

Distance of the house from the property line = 60 feet

The maximum allowable height for the house.

Solution:

Using similar triangles, we have;

[tex]\displaystyle \frac{Height \ of \, fence}{Length \ of \ fence \ shadow} = \mathbf{\frac{Height \ of \, house}{Distance \ of \ house\ from \ property \ line}}[/tex]

Which gives;

[tex]\displaystyle \frac{12}{25} = \mathbf{\frac{Height \ of \, house}{60}}[/tex]

[tex]\displaystyle Height \ of \ house = \frac{12}{25} \times 60 = 28.8[/tex]

The height of the house = 28.8 feet

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Please find attached the drawing of the question created with MS Visio, obtained from a similar question online.

Answer:

w/11+10=10w/11=0•w=10

Answer:

(1, -7)

Step-by-step explanation:

P(3,4)

3 up ---> y = 4 + 3 = 7

2 left ----> x = 3 - 2 = 1

new point (1, 7)

after 180 rotation around origin

point is (-1, -7)

now reflection over y-axis

(1, -7)

Answer:

[tex](1,-7)[/tex]

Step-by-step explanation:

Refer to the image below

90

Step-by-step explanation:

because it has a parallel line

Answer:

Diagram number 3 is not a function.

Step-by-step explanation:

It isn't a function because C goes to 2 different numbers.

Explanation:

For choice (3), the input C maps to more than one output (The values 1 and 3 at the same time). A function must have each input map to one and only one output. So this is why relation (3) is not a function.

The other answer choices (1), (2) and (4) have each input point to exactly one output. So these are functions that can be ruled out.

Answer:

Hello is this math i can help you with your answer

Answer:

Just multiply over here

1/2 *20

1/2 * 20/1

20/2

10

answer is 10

Answer:

10

Step-by-step explanation:

multiply (1/2) by 20

10

[tex] \: \: \: \: \: \: \: \: [/tex]

[tex]m = 2[/tex]

Step-by-step explanation:

[tex]0 = 12 + 2(m - 8)[/tex]

[tex]0 = 12 + 2m - 16[/tex]

[tex]0 = - 4 + 2m[/tex]

[tex] - 2m = - 4[/tex]

[tex] = m = 2[/tex]

[tex] \: \: \: [/tex]

Answer:

m = 2

Step-by-step explanation:

0 = 12 + 2 ( m - 8 )

→ Expand the brackets

0 = 12 + 2m - 16

→ Add 16 to both sides

16 = 12 + 2m

→ Minus 12 from both sides

4 = 2m

→ Divide both sides by 2

2 = m

Answer:

750 meters

Step-by-step explanation:

120 meters/4 seconds = 30 meters per second

30 meters per second * 25 seconds = 750 meters

(you could calculate 3 * 25 first to get 75 and then add the zero at the end. It's the faster way.)

Answer:

x = 750 m

Step-by-step explanation:

Write and solve a equation of ratios:  

  120 m          4 sec

-------------  =  -------------

       x              25 sec

Inverting this equation yields

      x             25 sec

-------------- = -------------

  120 m          4 sec

Cross-multiplication yields (4 sec)x = (120 m)(25 sec).  This yields:

      3000 m-sec

x = --------------------  = 750 meters

           4 sec

Note that the same result can be obtained by multiplying (120 m) by (25/4).

Answer:

Could you please show me the question?

Step-by-step explanation:

Answer:

five-eighths of a dollar is more than four-ninths of a dollar

Step-by-step explanation:

If you convert the fractions into decimals:

5/8 = 0.625

4/9 = 0.44444444444...

0.625 is closer to 1 than 0.44444444444...

Hope that helped!

5 - 6 = -1

-1 - 9  = -10

-10 - 8 = -18

-18 - 5 = -23

-23 - 4  = -27

-27 + 5  = -22

-22 - 5 = -27

-27 -5 = -32

-32 -5  = -37

-37 - 32 = -69

Answer = -69

Answer:

12/15

Step-by-step explanation:

times 4 by 3 because 5 is timesed by 3

Answer:

88 sides

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides, then

180° (n - 2) = 15480° ( divide both sides by 180° )

n - 2 = 86 ( add 2 to both sides )

n = 88

Answer:

Step-by-step explanation:

correct.

Answer:

  see attached

Step-by-step explanation:

The requested plot is only for that portion of the line that exists between the two points shown.

We must use the simple interest formula which is: A = P(1+rt) where

A = output amount , P = initial amount, r = rate as a decimal, and t = time.

so in this case we would write:

A(30) = P(1+rt) = 3000(1 + 0.013(30)) = 4170

We then see that A(30) is equal to $4170 at 30 years.

Answer:

6x+12c+7

Step-by-step explanation:

3(2x+5)+4(3c-2)

3*2x+3*5+4*3c-4*2

6x+15+12c-8

6x+12c+7

Answer:

[tex]12c+6x+7[/tex]

Step-by-step explanation:

Use the distributive property to simplify the expression accordingly:

[tex](6x+15)+(12c-8)[/tex]

[tex]12c+6x+7[/tex]

Answer:

(x-7)(x^2-5)

Step-by-step explanation:

Answer:

gradient

Step-by-step explanation:

gradient is the same as steepness and slopes r steep so its gradient

Answer:

7

Step-by-step explanation:

21=3x

x=7

Answer:

x = 7

Step-by-step explanation:

3 x 7 = x 3

21 = 3x

x = 21/3 = 7

Answer:

(0,16)

Step-by-step explanation:

Hi there!

The y intercept is the value in which the parabola passes through the y axis

Therefore, the value of x at the y intercept is 0

So to find the value of the y intercept, substitute x as 0 in the equation.

y=(2x-3)^2 + 7

If x=0, then:

y=(2(0)-3)^2 + 7

Multiply

y=(0-3)^2 + 7

Subtract 3 from 0

y=(-3)^2 + 7

Raise -3 to the second power

y= 9 + 7

Add 9 and 7 together

y = 16

So the y intercept is the point (0,16)

Hope this helps!

Answer:

Uh, 16.

Step-by-step explanation:

We need to choose three different toppings. So here we need to find the number of ways in which we can choose three different toppings out off. 16. So a number of ways are takes three at a time, from a total of 16. That is civilians combination. Here are formula for combination is 16 factorial over three factorial into 16 minus three. Factorial this candidate and a 16 factorial over three factorial into 16 minus trees. 13. Authority in factorial, now 16. Factory converted on a 16 in 2 15 into 14 into 13. Factorial over three factorial into 30. In fact, a real as we can see that 13 factorial is common toward denominator and numerator so we can get through this. Now I remaining times are 16 into 15 into 14. Over three in Toto into one has three factories, three in tow, one So calculating this ticket. Find 60 Soviet 56 TVs to select three different topics. Talked to select three different toppings out off 16 on a bizarre

Answer:  81ײ=27×     x = 6

Answer: B

Solution: Because the line is a dotted line. so print (-3, -1) and (3, 3) , (0, 0) are not the solution, so , answer is (0, 5) choice B.

Answer:

C

Step-by-step explanation:

first way: (easier way)

Plot the points out, points in the blue region are solutions. points on the dotted line are not solutions since it is a dashed line.

(0,5 is in the blue region)

second way:

find the equation of the in-equality:

the line that divides solutions and non-solutions passes through 3,3 and -3,-1

y=mx+b

m=change in y/change in x = (-1-3)/(-3-3) = 2/3

y=2/3x+b

plug x=3, y=3 (from the point "3,3")

3=2/3*3+b

3=2+b

b=1

y=2/3x+1 is the solution of the line.

the in-equality is

y(?)2/3x+1

plug in -5,5, which is a solution (looking at the graph)

5>-7/3

so use >, and not <

y>2/3x+1 is the equation of the in-equality, now just plug the answer choices in to see that

x=0,y=5 is a solution

Answer:

-175.26

Step-by-step explanation:

[tex]log_2\frac{z^8x^{10}}{r^{12}}=8log_2(z)+10log_2(x)-12log_2(r)=8*4.42+22.9-12*19.46=58.26-233.52=-175.26.[/tex]

Answer:

(x+2/3) (x^2 - 2)

Step-by-step explanation:

First we can seperate the problem

(x^3 + 2/3x^2) + (-2x - 4/3)

We factor x^2 out of the first parenthesis

x^2(x + 2/3) + (-2x - 4/3)

and factor -2 out of the second

x^2 (x+2/3) +-2 (x +2/3)

then we rewrite it as

(x+2/3) (x^2 -2)

-- Gage Millar, alg1/2 tutor

Answer:

$11.16 - $0.68 = $10.48 - price of four cards without tax

$10.48 : 4 = $2.62 - price of one card without tax

Cheers!

Answer:

the cost of each card including sales tax is 2.79

the cost of each card without sales tax is

11.16-0.68=10.48

10.48÷4=2.62

Step-by-step explanation: