Problem #3
Imagine you are building a triangular garden. Two sides of the garden measure 230 ft and
360 ft and the included angle between these two sides of the garden measures 38°. What is
the measure of the third side?
С
230ft
38
360ft

Answer:

The slopes are equal

Step-by-step explanation:

Calculate the slope m of f(x) using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 1, 5) and (x₂, y₂ ) = (0, 2) ← 2 points on the line

m = [tex]\frac{2-5}{0-(-1)}[/tex] = [tex]\frac{-3}{0+1}[/tex] = [tex]\frac{-3}{1}[/tex] = - 3

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

g(x) = - 3x - 6 ← is in slope- intercept form

with slope m = - 3

Then the slopes of f(x) and g(x) are equal, meaning the lines are parallel

Hope it helps.

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[tex]x+y =6 ~~~.....(i)\\\\x =3y -2~~.....(ii)\\\\\text{Substitute}~ x =3y-2~ \text{in equation (i):}\\\\\\3y -2 +y =6\\\\\implies 4y = 6+2\\\\\implies 4y = 8\\\\\\\implies y =\dfrac 84 =2\\\\\text{Substitute y =2 in equation (ii):}\\\\x = 3(2) -2\\\\\implies x = 6-2 =4\\\\\\\text{Hence,}~ (x,y) = \left(4, 2\right)[/tex]

The dimensions of the dilated image is 125 millimeters by 300 millimeters.

An image is dilated if the dimensions of the image is resized in a way that does not change the shape of the image. When an image is dilated, it is made larger.

The scale factor is 2.5. This means that the dimensions are 2.5 larger. Dimensions of the dilated image : 50 x 2.5 and 120 x 2.5 = 125 mm by 300 mm

To learn more about dilation, please check: https://brainly.com/question/3457976

Answer:

[tex]y=\frac{4}{3}x+2[/tex]

Step-by-step explanation:

using two points you can find the slope of the line using the formula [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

plugging in the x- and y- values into the equation above, you'll get:

[tex]m=\frac{-2-10}{-3-6}=\frac{-12}{-9}=\frac{4}{3}[/tex]

so far, you have [tex]y = \frac{4}{3}x+b[/tex]

using any of the two points, you can solve for b. in this case, the point (-3, -2) is used.

[tex]-2=\frac{4}{3}(-3)+b\\-2=-4+b\\-2+4=-4+b+4\\2=b[/tex]

the overall equation is [tex]y=\frac{4}{3}x+2[/tex]

Answer:

1. (-2, 3)

2. (-4, -6)

3. (3, -6)

4. (-5, 2)

5. (9, 1)

1. (-3, -2)

2. (6, -4)

3. (6, 3)

4. (-2, -5)

5. (-1, 9)

Answer:

33% of the marbles were red

Answer:

Lateral : 103.67 in²

Total : 864 in²

Step-by-step explanation: there you go

Answer:

12.55

Step-by-step explanation:

Answer:

The slope is -2

Step-by-step explanation:

y+6=24-2x

Subtract 6 from each side

y+6-6=24-6-2x

y = 18 -2x

Rewriting

y = -2x+18

This is in slope intercept form

y = mx+b  where m is the slope and b is the y intercept

The slope is -2 and the y intercept is 18

Answer: JGI

Step-by-step explanation:

An adjacent angle are angles that share a vertex and side. FGI and JGI share the vertex G and the segment GI

Have a good day!

Answer:

135°

Step-by-step explanation:

seg AB=seg OB

tan ∠AOB = 1

∠AOB = 45°

∠AOC = 135°

Answer:

5.4

5.465

5.48

5.51

5.529

5.596

Step-by-step explanation:

5.465 is 0.065 higher than 5.4

5.48 is 0.015 higher than 5.465

5.51 is 0.03 higher than 5.48

5.529 is 0.019 higher than 5.51

and 5.596 is 0.067 higher than 5.529

Round off to one decimal

Order

5.400<5.465<5.480<5.510<5.529<5.596

Answer:

5x−3=13−3x

x=2

positve 2

justin bieber is white

Answer:

Option C- $3.05

Step-by-step explanation:

50 - 46.95 = 3.05.

Step-by-step explanation:

I think you mean that 10 cm³ of air are escaping every second.

and we start with a volume of 500 cm³.

V = 500 - 10t 0 <= t <= 50

because negative t (seconds) don't make any sense, and neither does a negative volume (for t > 50).

Answer:

29+8x

Step-by-step explanation:

5+8(3+x)

Expand 8(3+x)

= 5+24+8x (add the numbers)

= 29+8x

The grocery store's sales from selling cereal if the grocery store buys 100 boxes and sells all of them are $247

From the given function, we can see that the equivalent function for a number of 100 boxes is given as;

c(n) = 1.9n

If n = 100

c(100) = 1.9(100)

c(100) = 190

Hence the cost of 100 boxes will be $190

Given the sales function s(c) = 1. 3c, the grocery store's sales from selling cereal if the grocery store buys 100 boxes will be expressed as:

[tex]s(c) = 1. 3c\\s(190)=1.3(190)\\s(190)=$247[/tex]

Hence the grocery store's sales from selling cereal if the grocery store buys 100 boxes and sells all of them are $247

Learn more on functions here: https://brainly.com/question/17043948

I had gotten 52.48

thats what I used to figure out the answer

Answer:

Step-by-step explanation:

Let the number of dimes be x and quarters be y.

We have equations:

Multiply the first equation by 10 and subtract from the second one:

Find the value of x:

Answer:

D. 4+2 = 2+4

Step-by-step explanation:

Commutative property of addition states that the answer does not change when you change the order of the equation.

Example:

a+b = b+a

Hope this helps! Have a great day!

Answer: 4+2=2+4

Step-by-step explanation:

Commutative property of addition states that the answer does not change when you change the order of the equation.

Example:

a+b = b+a

100% correct

Answer:

20% of 25 is greater

Step-by-step explanation:

25% of 16 = 4

20% of 25 = 5

Answer:

20% of 25

Step-by-step explanation:

To find 25% of 16, we have to consider how much 25% is out of 100%

25/100 can be simplified to 1/4

So 1/4 of 16 (or 16/4) = 4

To find 20% of 25, we have to consider how much 20% is out of 100%

20/100 can be simplified to 1/5

So 1/5 of 25 (or 25/5) = 5

4 < 5

Therefore, 20% of 25 is greater than 25% of 16

The equation of a line so that it is perpendicular to a given point will be

y-y0=[tex]\frac{-1}{m}[/tex] (x - xo)

The equation of a line so that it is perpendicular to a given point will be

y-y0=m (x - xo)

The standard equation of the line is better written in point-slope form expressed as:

y-y0=m(x - xo)

where: m is the slope of the given line (x0, y0) is any point of the giuven line.

m is the slope of the given line

(x0, y0) is any point on the given line

If the given slope of the  line is m, the slope of the line perpendicular will be expressed as -1/m

The equation of a line so that it is perpendicular to a given point will be

y-y0=[tex]\frac{-1}{m}[/tex] (x - xo)

Answer:

x^3-x^2-10x-8

Multiply each term in the first expression by each term in the second expression and combine like terms.

The correlation coefficients off both the scatter plots are mentioned above.

        [tex]${\displaystyle {\begin{aligned}r_{xy}&={\frac {\sum x_{i}y_{i}-n{\bar {x}}{\bar {y}}}{ns'_{x}s'_{y}}}\\[5pt]&={\frac {n\sum x_{i}y_{i}-\sum x_{i}\sum y_{i}}{{\sqrt {n\sum x_{i}^{2}-(\sum x_{i})^{2}}}~{\sqrt {n\sum y_{i}^{2}-(\sum y_{i})^{2}}}}}.\end{aligned}}}[/tex]

       where [tex]{\displaystyle s'_{x}}[/tex] and [tex]{\displaystyle s'_{y}}[/tex] are the uncorrected sample standard deviations of        

       X and Y.

Given are the scatter plot graphs as shown.

For the graph {1}, the correlation coefficient is positive and is in range of between 0.7 to 0.8

For the graph {2}, the correlation coefficient is negative and is in range of between -0.4 to 0.45

Therefore, the correlation coefficients off both the scatter plots are mentioned above.

To solve more questions on correlation, visit the link below -

https://brainly.com/question/28898177

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