Which statement correctly describes the solution to this scenario?

Which Statement Correctly Describes The Solution To This Scenario?

Answers

Answer 1

Answer: Choice C

x represents time and x is positive; y value is 45 times more than the x value

==================================

Explanation:

The inequality y > 45x is the same as y > 45*x

We have y greater than 45*x meaning that y is 45 times more than the x value.

As an example, if x = 2, then 45*x = 45*2 = 90 meaning that y must be larger than 90 if you picked x = 2. In this scenario, x = 2 means that if you traveled for 2 hours then you must have gone more than 90 miles in total distance.


Related Questions

find sec theta if theta is in quadrant 4 and sin theta= -1/5

Answers

Answer:

[tex]\frac{5}{2\sqrt{6} }[/tex]

Step-by-step explanation:

Since Θ is in fourth quadrant then cosΘ > 0, as is secΘ

Given

sinΘ = - [tex]\frac{1}{5}[/tex], then

cosΘ = [tex]\sqrt{1-(-1/5)^2}[/tex]

         = [tex]\sqrt{1-\frac{1}{25} }[/tex] = [tex]\sqrt{\frac{24}{25} }[/tex] = [tex]\frac{2\sqrt{6} }{5}[/tex]

Hence

secΘ = [tex]\frac{1}{\frac{2\sqrt{6} }{5} }[/tex] = [tex]\frac{5}{2\sqrt{6} }[/tex]

Answer:

[tex]\sec(\theta)=\frac{5\sqrt{6}}{12}[/tex]

The answer is the last one.

Step-by-step explanation:

If we are in quadrant 4, then x (cosine) is positive and y (sine) is negative.

Since cosine is positive, secant is positive because secant is the reciprocal of cosine.

So we already know the answer is not the 1st one or the 3rd one.

I'm going to use a Pythagorean Identity to find cosine value of theta.

[tex]\cos^2(\theta)+\sin^2(\theta)=1[/tex]

Enter in -1/5 for [tex]\sin(\theta)[/tex]:

[tex]\cos^2(\theta)+(\frac{-1}{5})^2=1[/tex]

Simplify a bit:

[tex]\cos^2(\theta)+\frac{1}{25}=1[/tex]

Subtract 1/25 on both sides:

[tex]\cos^2(\theta)=1-\frac{1}{25}[/tex]

Write 1 as 25/25 so you have a common denominator on the right hand side:

[tex]\cos^2(\theta)=\frac{25}{25}-\frac{1}{25}[/tex]

[tex]\cos^2(\theta)=\frac{24}{25}[/tex]

Take the square root of both sides:

[tex]\cos(\theta)=\pm \sqrt{\frac{24}{25}}[/tex]

[tex]\cos(\theta)=\pm \frac{\sqrt{24}}{\sqrt{25}}[/tex]

I will worry about simplifying the square root part when finding secant.

We said that cosine was positive because we were in the fourth quadrant.

[tex]\cos(\theta)=\frac{\sqrt{24}}{\sqrt{25}}[/tex]

Now recall that cosine and secant are reciprocals of each other:

[tex]\sec(\theta)=\frac{\sqrt{25}}{\sqrt{24}}[/tex]

Let's simplify the square part not.

Usually people hate the square root on both and also if you look at your choices none of the choice have square root on bottom.

So we are going to multiply top and bottom by [tex]\sqrt{24}[/tex]. I'm going to also write 5 instead of [tex]\sqrt{25}[/tex].

[tex]\sec(\theta)=\frac{5}{\sqrt{24}} \cdot \frac{\sqrt{24}}{\sqrt{24}}[/tex]

[tex]\sec(\theta)=\frac{5\sqrt{24}}{24}[/tex]

Now let's simplify the square root of 24.

We know 24 is not a perfect square, but 24 does contain a factor that is a perfect square. That factor is 4.

[tex]\sec(\theta)=\frac{5\sqrt{4}\sqrt{6}}{24}[/tex].

[tex]\sec(\theta)=\frac{5(2)\sqrt{6}}{24}[/tex]

[tex]\sec(\theta)=\frac{10\sqrt{6}}{24}[/tex]

Now both 10 and 24 share a common factor of 2 so let's divide top and bottom by 2:

[tex]\sec(\theta)=\frac{5\sqrt{6}}{12}[/tex]

The answer is the last one.

Which shows x^2 + 2x = 3 as a perfect square equation? What are the solution(s)?
a. x^2+2x-3=0; -3 and 1
b. x^2+2x+1=0; -1
c. (x+1)^2=4; -3 and 1
d. (x+1)^2=0; -1

Answers

First we can rewrite the equation to,

[tex]x^2+2x-3=0[/tex]

Which factors to,

[tex](x+3)(x-1)=0[/tex]

And this leads towards two solutions,

[tex]x_1\Longleftrightarrow x+3=0\Longrightarrow x_1=-3[/tex]

and,

[tex]x_2\Longleftrightarrow x-1=0\Longrightarrow x_2=1[/tex]

The answer is A.

Hope this helps.

r3t40

Answer:

c

Step-by-step explanation:

Given

x² + 2x = 3

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(1)x + 1 = 3 + 1

(x + 1)² = 4 ( take the square root of both sides )

x + 1 = ± [tex]\sqrt{4}[/tex] = ± 2 ( subtract 1 from both sides )

x = - 1 ± 2, hence

x = - 1 - 2 = - 3 and x = - 1 + 2 = 1

Solve the inequality: –3(x + 2) > 4x + 5(x – 7)

Answers

Answer:

29/12 > x

Step-by-step explanation:

–3(x + 2) > 4x + 5(x – 7)

Distribute

-3x -6 > 4x +5x-35

Combine like terms

-3x-6 > 9x -35

Add 3x to each side

-3x+3x-6 > 9x+3x -35

-6 > 12x-35

Add 35 to each side

-6+35 > 12x -35+35

29 > 12x

Divide each side by 12

29/12 > 12x/12

29/12 > x

What is the solution to the system of equations graphed below?
y = --3/2x+2
y = 5x + 28

Answers

Answer:

(-4, 8) → x = -4 and y = 8

Step-by-step explanation:

We only need two points to plot the graph of each equation.

[tex]y=-\dfrac{3}{2}x+2\\\\for\ x=0\to y=-\dfrac{3}{2}(0)+2=0+2=2\to(0,\ 2)\\\\for\ x=2\to y=-\dfrac{3}{2}(2)+2=-3+2=-1\to(2,\ -1)\\\\y=5x+28\\\\for\ x=-4\to y=5(-4)+28=-20+28=8\to(-4,\ 8)\\\\for\ x=-6\to y=5(-6)+28=-30+28=-2\to(-6,\ -2)[/tex]

Look at the picture.

Read the coordinates of the intersection of the line (solution).

Answer:

(-4,8)

Step-by-step explanation:

Given system of equations,

[tex]y=-\frac{3}{2}x+2-----(1)[/tex]

[tex]y=5x+28------(2)[/tex]

In equation (1), If x = 0, y = 2,

If y = 0,

[tex]-\frac{3}{2}x+2=0\implies -\frac{3}{2}x=-2\implies -3x=-4\implies x=\frac{4}{3}[/tex]

Join the points (0,2) and (4/3,0) in the graph we get the line (1),

In equation (2), if x = 0, y = 28,

If y = 0,

[tex]5x+28=0\implies 5x=-28\implies x=-5.6[/tex]

Join the points (0, 28) and (-5.6,0) in the graph we get the line (2),

Hence, by graph,

The intersection point of line (1) and (2) is (-4,8)

Which is the required solution.

Plz help me! Find the perimeter of the shape

Answers and the shape are in the picture

Answers

I believe the answer would be 12.4 the first choice.

Answer:

=12.4 units

Step-by-step explanation:

We can use the Pythagoras theorem to find the lengths of EF, FG, and HE

(GF)²=(ΔX)²+(Δy)²

(GF)²=(2--1)²+(4-3)²

=3²+1²

=10

GF=√10=3.16 units

(EF)²=(Δx)²+(Δy)²

=(2--1)²+(6-4)²

=3²+2²

=9+4

=13

EF=√13=3.61 units

(HE)²=(Δx)²+(Δy)²

=(-1--3)²+(6-3)²

=2²+3²

=4+9

=13

HE=√13=3.61 units

GH=(-1--3)=2 units

Perimeter =GF+EF+EH+HG

=3.16+3.61+3.61+2

=12.38 units

=12.4 units to 1 decimal place.

Given that (X+3) is a factor of the expression x^3 + 4x^2 + px + 3 , find the value of p. Hence, solve the equation x^3 + 4x^2 + px + 3=0, expressing the complex number in the form a + bi​

Answers

Answer:

[tex]p=4[/tex]

[tex]x=\frac{-1}{2} \pm \frac{\sqrt{3}}{2}i[/tex]

Step-by-step explanation:

We are given (x+3) is a factor of [tex]x^3+4x^2+px+3[/tex], which means if were to plug in -3, the result is 0.

Let's write that down:

[tex](-3)^3+4(-3)^2+p(-3)+3=0[/tex]

[tex]-27+36-3p+3=0[/tex]

[tex]9-3p+3=0[/tex]

[tex]9+3-3p=0[/tex]

[tex]12-3p=0[/tex]

[tex]12=3p[/tex]

[tex]p=4[/tex]

So the cubic equation is actually [tex]x^3+4x^2+4x+3=0[/tex] that they wish we solve for [tex]x[/tex].

To find another factor of the given cubic expression on the left, I'm going to use synthetic division with that polynomial and (x+3) where (x+3) is divisor.  Since (x+3) is the divisor, -3 will be on the outside like so:

-3 |  1    4    4     3

   |       -3   -3    -3

     ---------------------

      1      1     1      0

So the other factor of [tex]x^3+4x^2+4x+3[/tex] is [tex](x^2+x+1)[/tex].

We must solve [tex]x^2+x+1=0[/tex].

Compare this to [tex]ax^2+bx+c=0[/tex].

We have [tex]a=1,b=1, \text{ and } c=1[/tex].

The quadratic formula is

[tex]x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}[/tex].

Plug in the numbers we have for [tex]a,b, \text{ and } c[/tex].

[tex]x=\frac{-1 \pm \sqrt{1^2-4(1)(1)}}{2(1)}[/tex].

Simplify inside the square root while also performing the one operation on bottom:

[tex]x=\frac{-1 \pm \sqrt{1-4}}{2}[/tex]

[tex]x=\frac{-1 \pm \sqrt{-3}}{2}[/tex]

Now our answer will include an imaginary part because of that sqrt(negative number).

The imaginary unit is [tex]i=\sqrt{-1}[/tex].

So our final answer is:

[tex]x=\frac{-1}{2} \pm \frac{\sqrt{3}}{2}i[/tex]

Final answer:

To find the value of p, substitute -3 into the polynomial since (X+3) is a factor, thus yielding p=3. With p known, the polynomial becomes [tex]x^3 + 4x^2 + 3x + 3[/tex] = 0, and can now be solved for x.

Explanation:

Finding the Value of p

Given the polynomial [tex]x^3 + 4x^2 + px + 3[/tex] and the fact that (X+3) is a factor, we can use polynomial division or synthetic division to find the value of p. Since (X+3) is a factor, when we substitute -3 for x in the polynomial, the result should be zero.

Substituting -3 into the polynomial yields:
[tex](-3)^3 + 4(-3)^2 + p(-3) + 3[/tex] = 0
-27 + 36 - 3p + 3 = 0
9 - 3p = 0.

Solving for p gives us:
3p = 9
p = 3.

Solving the Equation

Now that we know p, we rewrite the polynomial as [tex]x^3 + 4x^2 + 3x + 3 = 0[/tex] and use the fact that (X+3) is a factor to perform the division. The remainder of the division gives us a quadratic polynomial which we can solve using the quadratic formula or factoring.

How many multiples of three are between 10 and 787 and show work pls

Answers

787-10=777
777/3=259

259 multiples of 3

As per the concept of arithmetic sequence, there are 259 multiples of three between 10 and 787

To solve this problem, we need to find the first and last multiples of three within the given range and then count how many integers are there in between

Step 1: Find the first multiple of three greater than or equal to 10.

The first multiple of three greater than or equal to 10 is 12.

Step 2: Find the last multiple of three that is less than or equal to 787.

The largest multiple of three less than or equal to 787 can be calculated as follows:

Divide 787 by 3:

787 ÷ 3 ≈ 262.33

The largest multiple of three less than or equal to 787 is:

262 × 3 = 786

Step 3: Count the multiples of three within the range.

Now that we have found the first and last multiples of three within the range, we need to count the number of multiples of three between them, including the endpoints.

The multiples of three between 12 and 786 are:

12, 15, 18, ..., 783, 786.

Step 4: Calculate the total count of multiples.

To calculate the total count, we can use the formula for finding the number of terms in an arithmetic sequence:

Number of terms = (last term - first term) / common difference + 1.

In this case, the first term is 12, the last term is 786, and the common difference (the difference between consecutive terms) is 3.

Number of terms = (786 - 12) / 3 + 1

Number of terms = 774 / 3 + 1

Number of terms = 258 + 1

Number of terms = 259.

To know more about multiples here

https://brainly.com/question/24327271

#SPJ2

The function f(x) 32(1.5) represents the chipmunk population of a forest x years after it was first studied. What was the original population of chipmunks?


A) 32

B) 21

C) 48

D) 72

Answers

Answer:

A) 32

Step-by-step explanation:

I will assume the function is

f(x) = 32 (1.5)^x

This is in the form

y =a b^x

in which a is the initial value, b is the growth rate, x is the time

a =32, which is the initial population

b= 1.5, which means 1.5-1 = .5. which means it grows at a 50% increase

x = number of  years

Determine whether the relation represents y as a function of x.

1.) x^2+y^2=9


2.) 2xy=1

Answers

Answer:

1 is not a function

2 is a function because you can write it (AS) f(x)=1/(2x).

Step-by-step explanation:

1) x^2+y^2=9 is a circle with center (0,0) and radius 3.

To get this all I did was compare to (x-h)^2+(y-k)^2=r^2 where (h,k) is the center and r is the radius.

A circle is not a function.

You can solve solve for and see that you will get two values for y which is no go for a function.

Let's do that:

[tex]x^2+y^2=9[/tex]

Subtract x^2 on both sides:

[tex]y^2=9-x^2[/tex]

Square root both sides:

[tex]y=\pm \sqrt{9-x^2}[/tex].

2) 2xy=1

Divide both sides by 2x:

y=1/(2x).

This is a function only one y there.

which of the following is a factor of x^6 + 1000?​

Answers

Well,

[tex]x^6+1000=(x^2)^3+10^3[/tex]

From here we use [tex]a^3+b^3=(a+b)(a^2-ab+b^2)[/tex],

[tex](x^2+10)\boxed{(x^4-10x^2+100)}[/tex]

And the found our factor.

Hope this helps.

r3t40

Answer:

Option B

Step-by-step explanation:

An item is regularly priced at $39. Ashley bought it at a discount of 55% off the regular price.

Answers

55% off the regular price means she paid 45% of the regular price. ( 100% - 55% = 45%

Multiply the original price by 45%:

39 x 0.45 = 17.55

She paid $17.55

(If you need to know how much she saved:  39 - 17.55 = $21.45)

Answer:

Ashley bought the item for $17.55

A study of the amount of time it takes a mechanic to rebuild the transmission for a 2005 Chevrolet Cavalier shows that the mean is 8.4 hours and the standard deviation is 1.8 hours. If 40 mechanics are randomly selected, find the probability that their mean rebuild time exceeds 8.7 hours.

0.1346

0.1285

0.1946

0.1469

Answers

Answer:

0.1469

Step-by-step explanation:

Given from the question;

Mean=8.4 hrs=μ

Standard deviation=1.8 hrs=δ

Sample size, n=40

Let  x=8.7

z=(x-μ)÷(δ÷√n)  

Find z(8.7)

z=(8.7-8.4)÷(1.8÷√40)

z={0.3×√40}÷1.8=1.05409

z=1.0541

Read from the  standard normal probabilities table

P(z>1.0541)

=0.1459

Final answer:

Using the Central Limit Theorem and standard error calculation, the probability that the mean rebuild time by 40 mechanics exceeds 8.7 hours is found to be approximately 0.1469.

Explanation:

To find the probability that the mean rebuild time for a 2005 Chevrolet Cavalier transmission by 40 mechanics exceeds 8.7 hours, given that the mean is 8.4 hours and the standard deviation is 1.8 hours, we will use the concept of the sampling distribution of the sample mean. Since the standard deviation of the population is known, we apply the Central Limit Theorem, which states that the distribution of the sample means will be approximately normal if the sample size is large enough (n>30 in this case).

First, calculate the standard error of the mean (SEM) using the formula: SEM = σ/√n, where σ is the standard deviation of the population and n is the sample size. Therefore, SEM = 1.8/√40 = 0.285.

Next, find the z-score that corresponds to a mean rebuild time of 8.7 hours using the formula: z = (X - μ)/SEM, where X is the value of interest (8.7 hours), and μ is the population mean (8.4 hours). Thus, z = (8.7 - 8.4)/0.285 = 1.05.

Finally, look up the z-score in a z-table or use a statistical calculator to find the probability that Z is greater than 1.05, which is approximately 0.1469.

Therefore, the probability that their mean rebuild time exceeds 8.7 hours is 0.1469.

In each family of functions, the _____function is the most basic function in
the family.​

Answers

Answer:

parent funtion is most basic

Step-by-step explanation:i just took the test

if A= (-1,3) and B=(11,-8) what is the length of ab

Answers

Answer:

16.3 units ( to 1 dec. place )

Step-by-step explanation:

Using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = A(- 1, 3) and (x₂, y₂ ) = B(11, - 8)

AB = [tex]\sqrt{(11+1)^2+(-8-3)^2}[/tex]

     = [tex]\sqrt{12^2+(-11)^2}[/tex]

     = [tex]\sqrt{144+121}[/tex]

     = [tex]\sqrt{265}[/tex] ≈ 16.3 ( to 1 dec. place )

What is the solution to the equation -4(2x+3) = 2x+6-(8x+2)?
0
x=-10
0
L
0
|
0

Answers

Answer:

x = -8

Step-by-step explanation:

-4(2x+3) = 2x+6-(8x+2)

Distribute

-8x-12= 2x+6-8x-2

Combine like terms

-8x-12 = -6x+4

Add 8x to each side

-8x-12 +8x = -6x+4+8x

-12 = 2x+4

Subtract 4 from each side

-12-4 = 2x+4-4

-16 = 2x

Divide each side by 2

-16/2 = 2x/2

-8 =x

40 POINTS

The sides of an isosceles triangle are 5, 5, and 7. Find the measure of the vertex angle to the nearest degree.

Answers

Answer:

Answer:

89

°

to the nearest degree.

Explanation:

The base of the triangle 7 can be divided in half by a line of symmetry of the isosceles triangle, which will bisect the vertex angle. This creates two right triangles:

Each with a base of 3.5 and a hypotenuse of 5.

The side opposite the half of the vertex angle is 3.5, the hypotenuse is 5.  

The sine function can be used to find the angle.

sin

θ

=

o

p

p

h

y

p

sin

θ

=

3.5

5

=

0.7

Use the inverse sin function or a table of trig functions to find the corresponding angle . (Arcsin)

arcsin  

0.7

=

44.4

°

Remember that this is the value of half of the vertex angle so double the value to find the vertex angle.

2

×

44.4

=

88.8

°

rounded off to the nearest whole degree =  

89

°

solve the system by graphing.
y=x+2
y=-2x+2

A.(0,2)
B.(2,0)
C.(0,-2)​

Answers

No it is not B, the real answer is A . I have prove. My work is shown in pic

Your company is introducing a fruit drink packaged in an aluminum box with a square
base. Find the surface area of this box as a function of its dimension of its base, S, given
that volume of the box is 36 in. Graph this function and determine the dimensions that
produce a minimum surface area for this aluminum box.​

Answers

Answer:

See explanation

Step-by-step explanation:

Let x in be the base side length and y in be the height of the box. Since the base is a square, we have

[tex]S=x^2\Rightarrow x=\sqrt{S}[/tex]

The volume of the box is

[tex]V=S\cdot y\\ \\36=Sy\Rightarrow y=\dfrac{36}{S}[/tex]

The surface area of the box is

[tex]SA=2x^2+4xy\\ \\SA(S)=2S+4\cdot \sqrt{S}\cdot \dfrac{36}{S}=2S+\dfrac{144}{\sqrt{S}}[/tex]

The graph of the function SA(S) is shown in attached diagram.

Find the derivative of this function:

[tex]SA'(S)=(2S+144S^{-\frac{1}{2}})'=2-\dfrac{1}{2}\cdot 144\cdot S^{-\frac{1}{2}-1}=2-\dfrac{72}{S\sqrt{S}}[/tex]

Equate this derivative to 0:

[tex]2-\dfrac{72}{S\sqrt{S}}=0\\ \\2S\sqrt{S}=72\\ \\S\sqrt{S}=36\\ \\S^{\frac{3}{2}}=6^2\\ \\S=6^{\frac{4}{3}}[/tex]

So, the dimensions that produce a minimum surface area for this aluminum box are:

[tex]x=\sqrt{6^{\frac{4}{3}}}=6^{\frac{2}{3}} \ in\\ \\y=\dfrac{6^2}{6^{\frac{4}{3}}}=6^{\frac{2}{3}}\ in.[/tex]

Solve the system of linear equations by graphing.

y = –x – 7

x + 2y = 4

What is the solution to the system of linear equations?

(–4.5, 4.25)
(–1.7, –2.8)
(0, –7)
(3, 0.5)

Answers

The solution to the system of linear equations is (3, 0.5).

To solve the system of linear equations by graphing, we'll plot the two equations on the same set of axes and find the point of intersection, which represents the solution.

Start with the first equation, y = -x - 7. Choose a few x-values, calculate the corresponding y-values, and plot the points on the graph.For the second equation, x + 2y = 4, rewrite it in slope-intercept form (y = mx + b) by solving for y: 2y = -x + 4 → y = -0.5x + 2. Plot points using this equation.The point where the two graphs intersect is the solution. Confirm that the coordinates of this point satisfy both equations.

The solution is (3, 0.5). Confirming for the first equation: y = -3 - 7 = -10 and for the second equation: 3 + 2(0.5) = 4. The coordinates match both equations.

you can calculate the probabilityof a random event, such as the rolling of dice or dealing of cards, by _____

Answers

Answer:

Making a fraction.

Step-by-step explanation:

Put the favored outcome as the numerator. Then, put the total number of outcomes as the denominator and boom, you have calculated probability. *Thumbs Up*

There are 22 animals in the barn. Some are geese and some are goats. There are 82 legs in all. How many of each animal are there? Please answer

Answers

Let the number of geese be x.

Then number of goats is 22-x.

A goose has 2 legs, and a goat has 4.

There are a total of 82 legs.

So,

2x + 4(22-x) = 82

2x + 88 - 4x = 82

-2x = -6

x = 3

There are 3 geese and (22-3=) 19 goats.

Please mark Brainliest if this helps and feel free to ask doubts!

I need help solving

Answers

[tex]3D-2E=3\left[\begin{array}{cc}5&5\\-3&7\\1&3\end{array}\right] -2\left[\begin{array}{cc}6&7\\2&-7\\0&5\end{array}\right] \\\\3D-2E=\left[\begin{array}{cc}15&15\\-9&21\\3&9\end{array}\right] -\left[\begin{array}{cc}12&14\\4&-14\\0&10\end{array}\right] \\\\3D-2E=\left[\begin{array}{cc}3&1\\-13&35\\3&-1\end{array}\right][/tex]

The point (-3,-2) is rotated 180 degrees about the origin. The coordinates of its image are:

Answers

Answer:

(3,2)

Explanation:

The rotation of a point 180 degrees about the origin follows the rule:

(x,y) → (-x, -y)

That means that both the x-coordinate and the y-coordinate transform into their negative values.

So, - 3 transforms into - (-3) = 3, and - 2 transforms into - (-2) = 2.

The result is (-3, -2) → (3,2).

Given that h=10, b=5, and r=3.8, find the area of the unshaded region. Use 3.14 for π as necessary. All answers are expressed in square units.
A. 70.34
B. 36.93
C. 25
D. 20.34

Answers

The area of the circle is found using the formula Area = PI x r^2

The area of a triangle is found using the formula Area = 1/2 x base x height.

Using the given dimensions:

Area of the circle = 3.14 x 3.8^2 = 45.3416 square units.

The area of the triangle is 1/2 x 5 x 10 = 25 square units.

To find the area of the unshaded part, subtract the area of the shaded triangle from the circle:

Area = 45.3416 - 25 = 20.3416

Round to two decimal places = 20.34

The answer is D. 20.34

D. 20.34

In this case, we must calculate first the Areas of the Triangle ([tex]A_{t}[/tex]), in square units, and the Circle ([tex]A_{c}[/tex]), in square units, later we subtract the Area of the former from the Area of the latter to determine the Area of unshaded region ([tex]A_{u}[/tex]), in square units. The Area formulas for each figure are, respectively:

Triangle

[tex]A_{t} = \frac{1}{2}\cdot b\cdot h[/tex] (1)

Circle

[tex]A_{c} = \pi\cdot r^{2}[/tex] (2)

Unshaded Area

[tex]A_{u} = A_{c} - A_{t}[/tex] (3)

Where:

[tex]h[/tex] - Height of the triangle.

[tex]b[/tex] - Base of the triangle.

[tex]r[/tex] - Radius of the circle.

If we know that [tex]h = 10[/tex], [tex]b = 5[/tex] and [tex]r = 3.8[/tex], then the area of the unshaded region is:

[tex]A_{t} = \frac{1}{2}\cdot (5)\cdot (10)[/tex]

[tex]A_{t} = 25[/tex]

[tex]A_{c} = \pi\cdot 3.8^{2}[/tex]

[tex]A_{c} \approx 45.365[/tex]

[tex]A_{u} = 45.365-25[/tex]

[tex]A_{u} = 20.365[/tex]

The correct answer is D.

Please see this question related to Area problems: https://brainly.com/question/16151549

What is the sqaure root of 40?​

Answers

Answer:

6.32455532034 or just 6

Step-by-step explanation:

Answer:

2√10

Step-by-step explanation:

Find two numbers that multiply to forty, where one of them is a NON-PERFECT square. Those numbers would be 10 and 4. Take the square root of both and you will see that 2 comes from the 4, so that moves to the outside, and √10 stays the way it is because there is no perfect square to factor from this. With that being said, you have your answer.

I am joyous to assist you anytime.

Drag steps in the given order to evaluate this expression. -3(-3+2)-6

Answers

Answer:

The value of the expression is -3.

Step-by-step explanation:

Consider the provided expression.

[tex]-3(-3+2)-6[/tex]

Step 1: Solve the parentheses.

[tex]-3(-1)-6[/tex]

Step 2: Open the parentheses.

[tex]3-6[/tex]

Step 3: Subtract the like terms.

[tex]-3[/tex]

Hence, the value of the expression is -3. The required steps is shown above.

the graph shows a system of equations

What is the solution to the system of equations?
A.(-1,3)
B.(1, -3)
C.(1,3)
D.(-1,-3)​

Answers

Answer:

B. (1, -3)

Step-by-step explanation:

The solution of the system of equations is the coordinates of the intersection of the lines.

(1, -3)

Answer:

B.(1, -3)

Wherever the lines intersect is the solution. Hope this helps!

Step-by-step explanation:

The coordinates of △ABC are A(−11,7), B(−5,−3), C(−2,3). After a dilation, the coordinates are A'(22,−14), B'(10,6), C'(4,−6). Find the scale factor.

Answers

Answer:

-2

Step-by-step explanation:

Before a dilation you have the point (x,y).

After a dilation of a scale factor of r you have (r*x,r*y).

Let's look at one pair of corresponding points.

A(-11,7)  and A'(22,-14)

We need to figure out what we can multiply to -11 to get 22.

We need to figure out what we can multiply to 7 to get -14.

Hopefully it is the same number or this isn't a dilation.

So to get from pre-image to image you need to multiply by -2 because -11*-2=22 and 7*-2=-14.

The scale factor is -2.

The dilation is this: (x,y)->(-2x,-2y)

The required scale factor is -2

What is scale factor?

The scale factor is a measure for similar figures, who look the same but have different scales or measures.

How to find the scale factor? We know that if  we have the point (x, y) before a   dilation     and  (ax, ay) after a dilation, then a is the scale factor

Let's consider one pair of corresponding points.

A(-11,7)  and A'(22,-14)To get the scale factor we need to find out what we can multiply to -11 and 7 to get 22 and -14

Clearly we need to multiply by -2.

This is applicable for all the points

So, the scale factor is -2.

Find more about "Scale factor" here: https://brainly.com/question/10253650

#SPJ2

Why is this the graph of the function f(x)=4x^2-8x+7?

Answers

Answer:

I'll be referring to this form: ax^2-bx+c

The 4x^2 is the rate that it goes up. If a is greater than 1, then that means the graph gets narrower from the parent function x^2. You can clearly see that in that graph.

The c is always the y-intercept. In this case, you can see that it's 7. The graph clearly shows 7 as it's y-intercept as well, so that matches well.

Sadly, I do not know how to compare the 8x into this situation without a calculator, but that information should be quite enough to see how that function is in that graph.

Situation 1: In Lakeville, Melinda’s television cable bill is a flat rate of $50 per month, plus $1.50 for every movie she rents. After one month of service, her bill is $66.25.

Situation 2: In Oceanside, Kimberly’s television cable bill is a flat rate of $60 dollars per month, plus $1.25 for every movie she rents.

If you were to model these two situations with equations to solve for all the unknowns, what similarities and differences would the equations have? Can you solve for all the unknowns in both situations?

Answers

Answer:

situation 1 : flat rate of 50....1.50 per movie.....after 1 month her bill is 66.25

66.25 = 1.50x + 50

situation 2 : flat rate of 60....1.25 for every movie...

y = 1.25x + 60

both situations have a flat rate fee plus a charge for every movie. In situation 1, u can solve for x (the number of movies rented) because u know how much she was charged. However, in situation 2, without more information, u cannot solve this equation...what u would need to solve it would either be the number of movies rented or the total bill showing what she was charged. So basically, in situation 1, u are given more information then in situation 2.....enough information to be able to solve for the variable x...whereas, in situation 2, u are not given enough info to solve for a variable and get a numerical answer

BRAINLIEST PLEASE!!!!!

Answer: Situation 1 involves one independent variable that stands for the number of movies Melinda rented. Situation 1 gives a total for the monthly bill, but situation 2 does not give a total for the monthly bill. Because situation 2 leaves the total value out, it needs an additional variable. Therefore, situation 2 involves two variables—the number of movies Kimberly rented (the independent variable) and the monthly cable bill (the dependent variable). In this situation, we can’t solve for one variable without knowing the other.

Step-by-step explanation: ed.men.tum answer. DO NOT copy and paste!

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