Emma was given a system of equations to solve by graphing. Which statement correctly identifies Emma’s error?

Answer:

x ≈ 28.7 ft

Step-by-step explanation:

Step 1: Define variables

Height (vertical leg of triangle) = 2 ft

∅ = 4°

We are trying to find the length of the hypotenuse x

Step 2: Use trig

sin∅ = opposite over hypotenuse

sin4° = 2/x

Step 3: Solve for x

xsin4° = 2

x = 2/sin4°

x = 28.6712

x ≈ 28.7 ft

Answer:

the Length of ramp is 28.7 feet.

Step-by-step explanation:

see attached image for clarity

give:

height (h) of clinic = 2 feet

angle of ramp = 4°

find:

Length (L) of ramp

using the formula : sin(Ф) =                height (h)                    

                                              Length of ramp (hypothenuse)

plugin values into the formula:

sin (4) =    2    

               L

L   =    2    

      sin(4)

L = 28.7 feet

therefore,

the Length of ramp is 28.7 feet.

Answer:

5(5(-1)-7)

-25-35

-60

Step-by-step explanation:

Answer: -60

Step-by-step explanation:

Image!!

(5 - 2i)^2

Simplify.

25 - 20i + 4i^2

Remember that i^2 = -1.

25 - 20i - 4

Combine like terms

21 - 20i

5445,568

Step-by-step explanation:

Answer:

$11,357 is withheld for taxes

Step-by-step explanation:

The prize is equally likely to have been placed behind doors 1, 2, and 3, so the probabilities of D₁, D₂, and D₃ are equal.

P(D₁) = P(D₂) = P(D₃) = 1/3

The contestant initially chooses door 1, so the host will not open it.

P(H₁|D₁) = P(H₁|D₂) = P(H₁|D₃) = 0

The host will not open the door with the prize.

P(H₂|D₂) = P(H₃|D₃) = 0

The remaining probabilities for each door are equal.

P(H₂|D₁) = P(H₃|D₁) = 1/2

P(H₃|D₂) = 1

P(H₂|D₃) = 1

Answer:

[tex]\large\boxed{j = -12}[/tex]

Step-by-step explanation:

-12 + 6j = 7j

Subtract 6j from both sides of the equation

[tex]\large\boxed{j = -12}[/tex]

This kind of equation can usually be solved by moving the numbers to the opposite side of the equation as the variables.

Hope this helps :)

Answer:

Hi there!

An inequality to demonstrate this is:

105.5 + 7.5x >= 250

Hope this helps

Answer:

2

Step-by-step explanation:

Use the property of equality :)

Step-by-step explanation:

Answer:

Question What is 8,541 rounded to the nearest thousand? Answer D)9000

Your Welcome =)=}[tex]\sqrt{x} 8\\[/tex]

Answer:

D: Each point (or pair) in a proportional relationship must share the same difference.

Answer: It's D

Step-by-step explanation:

C=πd

r=21

d=42

C=132 ft, and D is your final answer. Hope it help!

Answer:

132

Step-by-step explanation:

D

Answer:

36 x 2 + 21 x + 3

Step-by-step explanation:

Simplify the expression.

Add and subtract the second term to the expression and factor by grouping. You get 3 ( 4 x + 1 ) ( 3 x + 1 )

the answer is c

i already done it

Answer:

1/3 would be your answer

Step-by-step explanation:

anyway have a great day

Answer:

percentage flim rated very good = 54/80*100%

                                                      = 67.5%

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

The principal square root of most numbers is an irrational number with an infinite decimal expansion.

Not every square root is irrational but the statement says EVERY so false.

Hope I helped!

Please label mine as brainliest!

Answer:

False

There can be irrational numbers too. Complex, even. Also, Imaginary.

Answer:

[tex]x=-2[/tex]

Step-by-step explanation:

[tex]8x^3=-64[/tex]

Divide both sides by 8:

[tex]\frac{8x^3}{8}=\frac{-64}{8}[/tex]

[tex]x^3=-8[/tex]

Cube root both sides:

[tex]\sqrt[3]{x^3} =\sqrt[3]{-8}[/tex]

[tex]x=-2[/tex]

Answer:

A

Step-by-step explanation:

These triangles are first off congruent, because the only value that is changing, is the negative sign in front.

This negative sign means that the triangle is being rotated to a different quadrant of the graph, so the answer is A.

Answer:

[tex]d = 10[/tex]

Step-by-step explanation:

Distance Formula: [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Simply plug in your 2 coordinates into the formula to find distance d:

[tex]d=\sqrt{(-3-5)^2+(-4-2)^2}[/tex]

[tex]d=\sqrt{(-8)^2+(-6)^2}[/tex]

[tex]d=\sqrt{64+36}[/tex]

[tex]d=\sqrt{100}[/tex]

[tex]d = 10[/tex]

Answer:

y=12

Step-by-step explanation:

First we should rewrite the left side to look like

4y/3=16

Then multiply 3 to both sides

4y=48

Now divide by 4

y=12

The equivalent value of the expression is y = 12

Given data ,

Let the equation be represented as A

Now , the value of A is

( 4/3 )y = 16

On simplifying the equation , we get

( 4/3 )y = 16

So , the left hand side of the equation is equated to the right hand side by the value of ( 16 )

Divide by 4 on both sides , we get

( 1/3 )y = 16/4

( 1/3 )y = 4

Multiply by 3 on both sides , we get

y = 4 x 3

On simplifying , we get

y = 12

Therefore , the value of y = 12

Hence , the expression is y = 12

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ6

scatterplot relating to the question is attached below.

Answer: Negative ; Strong

Step-by-step explanation:

From the picture of the scatter plot Given, it could be observed that the trend of the scatter points exhibits a negative gradient as the points on the graph slopes downward depicting that an inverse relationship exists between the two variables. With weight decreasing as miles per gallon increases. The relationship between the two variables depicted by the scatter plot is strong as the slope of the point is looks moderately steep.

Answer:

the square root of 16 is 4

Answer:

9d

53

2z-97

Step-by-step explanation:

Its basically just simplification btw.

pingu!

Answer:

  denominators are zero for x=1

  there is no solution

Step-by-step explanation:

We suspect your equation is supposed to be ...

  10/(5x -5) +1/5 = 2/(x -1) . . . . . parentheses are required on denominators

The denominators will be zero for x=1.

This version of the equation has no solution. It simplifies to ...

  2/(x-1) + 1/5 = 2/(x -1)

  1/5 = 0 . . . . . subtract 2/(x-1) from both sides

There is no value of x that will make this equation true.

_____

Alternative interpretation

The way your equation is written, it must be interpreted according to the order of operations to be ...

  (10/5)x -5 +1/5 = (2/x) -1 . . . . x=0 makes the denominator zero

  2x -3.8 = 2/x

  2x^2 -3.8x = 2 . . . . multiply by x

  2(x^2 -1.9x +.95^2) = 2 +2(0.95^2)

  (x -0.95)^2 = 1.9025

  x = 0.95 ± √1.9025 ≈ {-0.4293, 2.3293}

Answer:

Solve for x

x ≤ −4 or x ≥ 4

Answer:I tnink its 21 sorry if wrong

Step-by-step explanation:

Answer:

  see below

Step-by-step explanation:

When the functions are inverses of each other, it will be true that ...

  m(n(x)) = n(m(x)) = x

The expanded form of this equation is shown below.

Answer:

i think id say it is 10.5 i might be wrong though

Step-by-step explanation:

Answer:

14 lemonade serving

Step-by-step explanation:

1½+3=4½

In 4 liters we get 12 ⅓serving of lemonade

In ½ we get 1 serving of lemonade from the ½ we remain with to ⅙liters so we still add that as a serving

Total =12+1+1=14

Answer: 2 meters.

Step-by-step explanation:

Let w = width of the cement path.

Dimensions of pool : Length = 15 meters , width = 9 meters

Area of pool = length x width = 15 x 9 = 135 square meters

Along width cement path, the length of region = [tex]2w+15[/tex]

width = [tex]2w+9[/tex]

Area of road with pool =  [tex](2w+15) (2w+9)[/tex]

[tex]= 4w^2+30w+18w+135\\\\=4w^2+48w+135[/tex]

Area of road = (Area of road with pool ) -(area of pool)

[tex]\Rightarrow\ 112 =4w^2+48w+135- 135\\\\\Rightarrow\ 112= 4w^2+48w\\\\\Rightarrow\ 4 w^2+48w-112=0\\\\\Rightarrow\ w^2+12w-28=0\ \ \ [\text{Divide both sides by 4}]\\\\\Rightarrow\ w^2+14w-2w-28=0\\\\\Rightarrow\ w(w+14)-2(w+14)=0\\\\\Rightarrow\ (w+14)(w-2)=0\\\\\Rightarrow\ w=-14\ or \ w=2[/tex]

width cannot be negative, so w=2 meters

Hence, the width of the road = 2 meters.