The angle of elevation from a pothole to the top of a lamp post is 33°
33°. The horizontal distance from the pothole to the base of the lamp post is 44 feet. How tall is the lamp post?

a) 28.6 ft
b) 23.9 ft
c) 67.8 ft
d) 55 ft

Answer:

Option b is the correct answer as both the equations are true for given solution.

Step-by-step explanation:

Given equations are:

-0.1x-0.3y=1.2

0.2x-0.5y=2

We can observe each graph and find the point that is the solution and put the point in the equations to know if that point is the solution

For option A:

(0,4)

Putting x=0 and y = 4 in both equations

[tex]-0.1(0)-0.3(4)=1.2\\0-1.2 =1.2\\-1.2 \neq 1.2\\0.2(0)-0.5(4)=2\\0-2 = 2\\-2 \neq 2[/tex]

This is not the correct answer as both equations are not true with this solution

For Option B:

(0,-4)

Putting x = 0 and y = -4 in both equations

[tex]-0.1(0)-0.3(-4)=1.2\\0+1.2 = 1.2\\1.2 = 1.2\\0.2x-0.5y=2\\0.2(0)-0.5(-4) = 2\\2 = 2[/tex]

Both equations are true for (0,-4) hence it is the solution of the system.

For Option C:

(4,0)

[tex]-0.1(4)-0.3(0)=1.2\\-0.4-0 = 1.2\\-0.4 \neq 1.2\\0.2x-0.5y=2\\0.2(4)-0.5(0) = 2\\0.8 \neq 2[/tex]

Not true for both equations

Hence,

Option b is the correct answer.

Answer:

pls write the question clearly

Step-by-step explanation:

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The statements that is true: B. The percent error of the prediction was about 55%.

D. Difference between the predicted and actual rainfall was 1.2 inches.

Percentage error can be calculated  using this formula;

Percentage error = Actual value observed - Expected value /Expected value

The Percentage error is;

= 2.2 - 1.0 / 2.2

Percentage error = 1.2 /2.2

Percentage error = 0.545 × 100

Percentage error = 55% (Approximately)

Since Difference between the predicted and actual rainfall;

Difference = Actual rainfall - Predicted rainfall

Difference = 2.2 -1.2

Difference = 1.2 inches.

Hence the correct statement is option B and D.

Learn more about percentage error;

brainly.com/question/28746643

#SPJ2

Answer:

cb

Step-by-step explanation:

Answer:

Y = 40

Step-by-step explanation:

Change 1/2 to 2/4

2/4 y + 6 = 3/4y - 4

subtract 2/4y

6 = 1/4y -4

add 4

10 = 1/4y

multiply by 4 to get fraction to 1y or y

y = 40

Answer:

the ratio is 1:3 for brown sugar to sugar

Answer:

a = b = c = 45°

Step-by-step explanation:

[tex]In\: \triangle BDC, \\\\

BD = CD.... (given) \\\\

\therefore m\angle DBC =m\angle DCB\\(By\: isosceles \:\triangle\: property) \\

\therefore a\degree = b\degree.... (1)\\\\

m\angle BDC= 90\degree \\\\

\because m\angle BDC + a\degree + b\degree=180\degree \\\\

90\degree+ a\degree + a\degree=180\degree\\ [from \: equation \: (1)]\\\\

2a\degree=180\degree -90\degree\\

2a\degree= 90\degree\\\\

\therefore a\degree=\frac{ 90\degree}{2} \\\\

\huge\purple {\boxed {\therefore a\degree=45\degree}} \\\\

\implies \huge\red {\boxed { b\degree=45\degree}} \\\\

In\: \triangle ABC, \\\\

AB = BC.... (given) \\\\

\therefore m\angle BAC =m\angle BCA\\(By\: isosceles \:\triangle\: property) \\

\therefore c\degree = b\degree\\\\

\because b\degree=45\degree \\\\

\implies \huge\orange {\boxed { b\degree=45\degree}} [[/tex]

Answer: y=8-6x

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

search up this website for the steps:

symbolab is the website

Answer:

That is a false equation

Step-by-step explanation:

The negative can't coninspire with the final result. There is no answer It is invalid. Your in collage. Lay off the parties and learn the basic functions of math

Answer:

A. 354.20 + 50.60w ≥ 1,099.51

Step-by-step explanation:

$354.20 (her savings)

$50.60 (what she can save every week)

she need to get to a total of (at least) $1,099.51

354.20 (she already have) + 50.60 per week it need to be equal or more than 1,099.51

354.20 + 50.60w ≥ 1,099.51

Answer:

a. han did not divide -10x by 4

b. y intercept:5, x intercept:2

Step-by-step explanation:x

reason for b: you can graph y=-[tex]\frac{5}{2}[/tex]x+5 to get the y and x intercept

Answer:

D. 29

Step-by-step explanation:

180 - 151 = 29

x = -2, y = -1

Substitution method:

2x + 3y = -7

y = 8x + 15

2x + 3(8x + 15) = -7

2x + 24x + 45 = -7

26x = -52

x = -2

Substituting x value back into 1st equation for y:

2(-2) + 3y = -7

3y = -3

y = -1

Answer:

£365 is cheaper than  €425.

Step-by-step explanation:

We want to convert both prices to the same currency. It is easier to convert pounds to euros, as the exchange rate uses £1.

€425 or £365

£365 = €(365 * 1.14)

£365 = €416.10

€425 > €416.10

£365 is cheaper than  €425.

Answer:

2.25 or 2 1/4 pounds

Step-by-step explanation:

if you add them all up (I converted them to decimals when adding) you get 13.5 or 13 1/2 if your using fractions, then you divide that by 6 because thats how many jars there are and you get 2.25 or 2 1/4

Answer:

divide both sides of the equation by 10

Answer:

x=1

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

I hope this helps. In this case -4+-4x is -8 so then u know it's 1 because 2 negatives equals a negative and 4+4 is 8 all I did was change change the subtraction to addition if that make sense khan academy has some good video on integers.

in this you would mainly look at the tenths place, and put 0's at the end till you get to the thousandth's place.

7.990, 7.800, 7.200, 7.141.

Answer:

X = 41  

y = 7.22

Step-by-step explanation:

Answer:

Step-by-step explanation:

according to the midsegment theorem, a midsegment of a triangle is parallel to a side of a triangle and its length is 1/2 length of the side.

1/2FG= 15, SO FG=30,

1/2 GH=36 SO GH=72

AREA = 1/2(72*30)=1080 CM^2

Answer:

1/2(72*30)=1080 CM^2

Step-by-step explanation:

don't rember how i got it, just remeber having this question on my work.

Answer:

ANSWER

Let one number  = x

other number      = 2x-3  

(x+2x−3)+7=37

3x = 33

x = 11

∴ The two number are 11 and 19

Answer:

3/4, 4/5, 3, 3, 3.5

Answer:

3.5,3 3/4,3 4/5

Step-by-step explanation:

Answer:

Each person would get 1/6 of the pizza

Step-by-step explanation:

1/3 divided by 2 is 1/6. Do that again and you will get four of 1/6.