NEED HELP WITH A MATH QUESTION WITH FINDING A SURFACE AREA OF A SQAURE PYRAMID

Answer:

[tex]\frac{3}{4}[/tex]

Step-by-step explanation:

The given expression is:

[tex]\frac{3m-6}{4m+12} \cdot \frac{m^2+5m+6}{m^2-4}[/tex]

We factor to get:

[tex]\frac{3(m-2)}{4(m+3)} \cdot \frac{(m+2)(m+3)}{(m-2)(m+2)}[/tex]

Cancel out the common factors to get:

[tex]\frac{3(m-2)}{4(m+3)} \cdot \frac{(m+3)}{(m-2)}[/tex]

We cancel further to get:

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

The correct chice is B.

Answer:

The coordinates of triangle A'B'C' are A' (-1 , 1) , B' (2 , 0) , C' (1 , 2)

Step-by-step explanation:

* Lets revise some transformation

- If point (x , y) reflected across the x-axis

 ∴ Its image is (x , -y)

- If point (x , y) reflected across the y-axis

 ∴ Its image is (-x , y)

- If point (x , y) reflected across the line y = x

 ∴ Its image is (y , x)

- If point (x , y) reflected across the line y = -x

 ∴ Its image is (-y , -x)

* Lets solve the problem

- ABC is a triangle, where A = (1 , -1) , B = (0 , 2) , C = (2 , 1)

- The Δ ABC reflected over the line y = x to form ΔA'B'C'

∵ The image of the point (x , y) after reflected across the line y = x

   is (y , x)

∴ We will switch the coordinates of each point in Δ ABC to find the

  coordinates of Δ A'B'C'

# Vertex A

∵ A = (1 , -1) ⇒ x = 1 , y = -1

∴ The x-coordinate of the image is -1

∴ The y-coordinate of the image is 1

∴ A' = (-1 , 1)

# Vertex B

∵ B = (0 , 2) ⇒ x = 0 , y = 2

∴ The x-coordinate of the image is 2

∴ The y-coordinate of the image is 0

∴ B' = (2 , 0)

# vertex C

∵ C = (2 , 1) ⇒ x = 2 , y = 1

∴ The x-coordinate of the image is 1

∴ The y-coordinate of the image is 2

∴ C' = (1 , 2)

* The coordinates of triangle A'B'C' are A' (-1 , 1) , B' (2 , 0) , C' (1 , 2)

Answer:

  B.  49:9

Step-by-step explanation:

The ratio of surface areas is the square of the ratio of edge lengths:

  7² : 3² = 49 : 9

Answer:

  b.  10

Step-by-step explanation:

For the most part, these are problems in addition. The measures of the different angles add up according to the relationships given in the problem statement.

From the picture, you can tell that ∠JKN is the sum of ∠1 and ∠2, which are said to be equal (congruent). That is, ∠1 has a measure that is half of that of ∠JKN.

Since ∠JKN is a right angle, 90°, and the measure of ∠1 is half that, m∠1 is 45°.

So, to find t, we equate the given expression for m∠1 to 45 and solve.

  4t +5 = 45

  4t = 40 . . . . . subtract 5

  t = 10 . . . . . . . divide by 4 . . . . . matches answer choice B

Answer:

Given in the problem , as ΔBEC is an equilateral triangle , ∠GCD=90°,m∠ECD=30°

Step-by-step explanation:

Step1:

Statement 2:

as ΔBEC is an equilateral triangle

statement 3:

BG ≅ GC as FG  is perpendicular bisector given in the problem.

Statement 4.

∠CFG =60° as as ΔBEC is an equilateral triangle

Staement 5 : Reason : All the angles of an equilateral triangle are 60°

step 2 :-

Statement 1.

as ΔBEC is an equilateral triangle is given in the fourth statement of the problem.

Statement 2.

m∠GCE = 60° as it is contained in ΔBEC which is an equilateral triangle. All the angles of an equilateral triangle are 60°.

Statement 3:

∠GCD =90° as ABCD is a square

Statement 4:

m∠ECD=∠GCD-m∠GCE

            =90°-60°

            =30°

Hence Proved

Answer:

Step-by-step explanation:

Let c represent the number of liters of champagne Lauren uses. Then (15-c) will be the number of liters of orange juice. The total cost of the mix will be ...

  12c +1.50(15-c) = 5.00(15)

  10.5c = 52.50 . . . . . subtract 22.50, simplify

  52.50/10.5 = c = 5 . . . . divide by the coefficient of c

Then the amount of orange juice is ...

  15 -c = 15 -5 = 10 . . . . liters

Lauren should use 5 liters of champagne and 10 liters of orange juice.

Explanation:

There is nothing to "solve." This equation is a trig identity.

Often, it works well to express all trig functions in terms of sine and cosine. When you're trying to prove an identity, you usually pick one side to rearrange, and leave the other side alone. Here, we will rearrange the right side.

[tex]\csc\theta=\dfrac{\cot\theta+1}{\cos\theta+\sin\theta}\\\\\csc\theta=\dfrac{\dfrac{\cos\theta}{\sin\theta}+1}{\cos\theta+\sin\theta}=\dfrac{\left(\dfrac{\cos\theta+\sin\theta}{\sin\theta}\right)}{\cos\theta+\sin\theta}=\dfrac{1}{\sin\theta}\\\\\csc\theta=\csc\theta[/tex]

Answer:

(- 1, 4)

Step-by-step explanation:

The line x = 1 is a vertical line.

The point P(3, 4) is 2 units to the right of x = 1 ( 3 - 1 = 2 )

Hence the reflection will be 2 units to the left of x = 1, that is  (1 - 2)

P'(- 1, 4)

The reflection of point P(3, 4) about the vertical line x = 1 is P'(-2, 4).

Reflection is a transformation that flips a figure over a line or a plane. It is a type of symmetry transformation that maintains the same shape and size of the object but changes its orientation with respect to the line or plane of reflection.

Given: Point P(3, 4).

The line x = 1 is a vertical line.

Now, let's find the reflection of point P(3, 4) about the vertical line x = 1:

To reflect a point about a vertical line, we reverse the sign of the x-coordinate while keeping the y-coordinate the same.

So, the reflection of P(3, 4) will be (-2, 4).

Hence, the reflection of point P(3, 4) is P'(-2, 4).

Learn more about Reflection here:

https://brainly.com/question/15487308

#SPJ4

Answer: second option.

Step-by-step explanation:

Given the transformation [tex]T:(x,y)[/tex]→[tex](x-5,y+3)[/tex]

 You must substitute the x-coordinate of the point A (which is [tex]x=2[/tex]) and the y-coordinate of the point A (which is [tex]y=-1[/tex]) into [tex](x-5,y+3)[/tex] to find the x-coordinate and the y-coordinate of the image of the point A.

Therefore, you get that the image of A(2,-1) is the following:

[tex](x-5,y+3)=(2-5,-1+3)=(-3,2)[/tex]

You can observe that this matches with the second option.

Answer:

  B)  36x^13*y^7

Step-by-step explanation:

The two rules of exponents that apply are ...

Expanding the second factor gives ...

  (4x^3*y^5)(3^2*x^(5*2)*y^2)

  = 36*x^(3+10)*y^(5+2)

  = 36x^13*y^7 . . . . . . matches selection B

Answer:

219.9  feet to the nearest tenth.

Step-by-step explanation:

Use trigonometry:

tan 35 = opposite / adjacent side

= 154/x

x =  154 / tan35

= 219.93

Answer:

219.9 ft

Step-by-step explanation:

After looking at pic, cross multiply to get x tan(35)=154

then divide both sides by tan(35) giving x=154/tan(35)

x is approximately 219.9 ft

The answer is in the attachment below!

Mark as Brainliest please!

I don’t understand. Explain mate

Answer:

  C.  population; students

Step-by-step explanation:

Since every member of the population is asked, the survey is not a sample. If opinions are given equal weight, there are more students than staff, so we expect students to have more influence on results.

Answer:

C population, students

Step-by-step explanation:

Since everyone is asked the question, a population is used  (sample only uses part).  There are more students than staff, so students will have a bigger influence on the results

Answer:

3:5

Step-by-step explanation:

The areas of two similar octagons are 9m² and 25m²

The scale factor of their areas is [tex]\frac{25}{9}[/tex] or 9:25

The scale factor of their side lengths is [tex]\sqrt{25/9}[/tex] or 3:5

ANSWER

3:5

EXPLANATION

The given similar octagons have areas 9 m² and 25m² .

Let the scale factor of their side lengths be in the ratio:

m:n

[tex] {( \frac{m}{n}) }^{2} = \frac{9}{25} [/tex]

We take square root of both sides to get;

[tex] \frac{m}{n} = \sqrt{ \frac{9}{25} } [/tex]

We simplify the square root to get

[tex] \frac{m}{n} = \frac{3}{5} [/tex]

Therefore the scale factor of their side lengths is 3:5

Answer:

The correct answer option is c. the net deposit amount.

Step-by-step explanation:

We know that Michael is making a deposit with a check and wants some cash back.

According to The Federal Reserve System and The Federal Deposit Insurance Corporation, the deposit slip must have the name his name, his account number, date, amount of the check, amount of cash that he want, his signature and the net deposit amount.

Answer:

C

Step-by-step explanation:

Answer:

The answer is 420 lunch specials

Step-by-step explanation:

10×7=70 70×6=420

Answer:

the total different lunches is 420

Step-by-step explanation:

Given that:

As we know that, a customer can choose 3 of the above items in their lunch and it is a combination problem.

So we have:

So the total different lunches is:

P(A) *P(E)*P(D)

= 7*10*6

= 420

Hope it will find you well.

Answer:

r = 15.2

Step-by-step explanation:

Where AB meets the circle creates a right angle.  This is a right triangle problem involving missing sides.  This means that we will use Pythagorean's theorem to find the length of the radius.  Pythagorean's theorem applies this way:

[tex]10^2+r^2=(r+3)^2[/tex]

Foiling the right side gives us the equation:

[tex]100 + r^2=r^2+6r+9[/tex]

When we combine like terms, we find the squared terms cancel each other out, leaving us with

100 = 6r + 9 and

91 = 6r so

r = 15.2

Answer:

  [tex]\dfrac{r_s}{r_r}\approx 6.3346[/tex]

Step-by-step explanation:

The ratio of the radii is the square root of the ratio of the areas:

  [tex]\dfrac{r_s}{r_r}=\sqrt{\dfrac{22680}{565.2}}\approx 6.3346[/tex]

The radius of sphere s is about 6.3346 times as large as the radius of sphere r.

To determine the ratio of the sizes of the radii of the two spheres based on their surface areas, you can use the ratios of the square roots of the surface areas. Using this method, the radius of Sphere S is found to be roughly 8 times larger than Sphere R

The subject topic of this question is related to geometry, specifically looking at the relationship between the surface areas of two spheres and their respective radii. Given that the surface area (SA) of a sphere is given by the formula SA=4πr², you can set up a ratio for the radii.

The square roots of the ratios of the surface areas of the spheres will give us the ratio of the radii. In other words, sqrt(SA of sphere S/ SA of sphere R) = ratio of the radii. Substituting the given values, we get sqrt(22680/565.2) which approximately equals to 8.

Therefore, the radius of Sphere S is approximately 8 times larger than Sphere R.

https://brainly.com/question/31756500

#SPJ11

Answer:

  x = 2

Step-by-step explanation:

The vertex form tells you the vertex is (x, y) = (2, 3). The vertical line through the vertex, x=2, is the axis of symmetry.

Answer:

x = 2

Step-by-step explanation:

took the test on edge

Answer:

$9 per hour

Step-by-step explanation:

given that falicity babysat for 2 hours each night for 10 nights

Total hours spent babysitting = 10 nights x 2 hours = 20 hours

hourly rate = total amount earned / total time spent babysitting

= $180 / 20 hrs = $9 per hour

Answer:

  y = 45,121,040×1.027^t

Step-by-step explanation:

An exponential growth equation is generally of the form ...

  value at time t = (initial value)(growth factor)^t

where the growth factor is the multiplier for a period equal to one time unit.

Here, the initial value (in 2014) is 45,121,040. The growth factor is given as 1.027 (2.7% added per year), and we can define t as the number of years after 2014. Then our equation is ...

  y = 45,121,040×1.027^t . . . . where t = years after 2014

XV is 1/2 a circle , which is equal to 180 degrees ( a full circle is 360).

ZW = WY, so ZV = VY = 43.

XY = XV-43 = 180 - 43 = 137

The answer is B. 137

If you translate circle 1 with the vector (6,-4), the center will become

[tex](-4,5)+(6,-4) = (-4+6,5-4)=(2,1)[/tex]

So, circles 1 and 2 are now concentric. The radii are, respectively, 2 and 6. This means that, if we dilate circle 1 with a scale factor of 3, its radius will become 6 as well.

After this two transformations, both circles will have center (2,1) and radius 6.

The transformation rule is (x+6, y-4).

We dilate by a factor of 3.

A circle is a perfectly round shape meaning any point around its curve is the same distance from its central point called the center

Firstly we need to shift the center.

Again we need to dilate the circle.

Find more about "Circles" here: https://brainly.com/question/17326298

#SPJ2

Answer:

x=6.5 cm

Step-by-step explanation:

The tangent meets the circle at right angles.

Therefore the triangle formed is a right triangle.

From the Pythagorean Theorem;

[tex]x^{2} +20.2^2=(x+14.7)^2[/tex]

We expand to obtain:

[tex]x^{2} +408.4=x^2+29.4x+216.04[/tex]

We group like terms to get:

[tex]x^{2} -x^2+408.4-216.04=29.4x[/tex]

We simplify now to get:

[tex]192.36=29.4x[/tex]

We divide both sides by 29.4 to get:

x=6.5 to the nearest tenth.

Looks like [tex]f(x,y)=x^2+y^2-x^2y+7[/tex].

[tex]f_x=2x-2xy=0\implies2x(1-y)=0\implies x=0\text{ or }y=1[/tex]

[tex]f_y=2y-x^2=0\implies2y=x^2[/tex]

The latter two critical points occur outside of [tex]D[/tex] since [tex]|\pm\sqrt2|>1[/tex] so we ignore those points.

The Hessian matrix for this function is

[tex]H(x,y)=\begin{bmatrix}f_{xx}&f_{xy}\\f_{yx}&f_{yy}\end{bmatrix}=\begin{bmatrix}2-2y&-2x\\-2x&2\end{bmatrix}[/tex]

The value of its determinant at (0, 0) is [tex]\det H(0,0)=4>0[/tex], which means a minimum occurs at the point, and we have [tex]f(0,0)=7[/tex].

Now consider each boundary:

[tex]f(1,y)=8-y+y^2=\left(y-\dfrac12\right)^2+\dfrac{31}4[/tex]

which has 3 extreme values over the interval [tex]-1\le y\le1[/tex] of 31/4 = 7.75 at the point (1, 1/2); 8 at (1, 1); and 10 at (1, -1).

[tex]f(-1,y)=8-y+y^2[/tex]

and we get the same extrema as in the previous case: 8 at (-1, 1), and 10 at (-1, -1).

[tex]f(x,1)=8[/tex]

which doesn't tell us about anything we don't already know (namely that 8 is an extreme value).

[tex]f(x,-1)=2x^2+8[/tex]

which has 3 extreme values, but the previous cases already include them.

Hence [tex]f(x,y)[/tex] has absolute maxima of 10 at the points (1, -1) and (-1, -1) and an absolute minimum of 0 at (0, 0).

The function must first have its partial derivatives set to zero to find its critical points. Also, considering the given domain's boundaries with Lagrange multipliers can establish the function's maximum and minimum points.

This function is a multivariable function and to find its extreme values within a specified domain you would use multivariable calculus methods. For the given function f(x, y) = x2 + y2 − x2y + 7, we first find its critical points by setting its partial derivatives equal to zero and then solve for x and y. Additionally, we need to consider the boundaries of the set {|x| ≤ 1, |y| ≤ 1} by using the method of Lagrange multipliers. The extreme values are obtained at the critical points within the domain, including the boundary.

https://brainly.com/question/33436896

#SPJ11

Answer:

  see below

Step-by-step explanation:

A regular tessellation is created by repeating a regular polygon. The first and third diagrams show multiple regular polygons of different sizes and shapes. The second diagram has no regular polygons in it.

The last diagram shows a regular tessellation.

Answer:

No;  the angle of elevation of the front bottom of the dump truck body will be only 31°, much smaller an angle than the required 50°

Step-by-step explanation:

Let the body of the truck rest upon the x-axis with the rear body at (0, 0).  The front of that body is located at (15, 0).  The dump body is elevated to 9 ft.

We thus have a right triangle with base 15 ft and height 9 ft, and want to know what the angle is.  The angle is at (0, 0).  The front of the body is at (0, 15), and when elevated that point will be located at (15, 9).

The tangent function relates the angle to the opposite side (length 9 ft) and the adjacent side (length 15 ft):

tan Ф = opp / hyp = 9 / 15 = 31 degrees.

NO:  the elevation of the front of the dump truck body is only 31° approx.  The clay will not easily dump from the body.

Answer:

Step-by-step explanation:

Your equation comes out to x + 3 = x/3.  Multiplying all three terms by 3 results in 3x + 9 = x, which simplifies to 2x = -9, so that x = -9/2.

Unsure of what you're asking for by "model."

Answer:

  20 dimes

Step-by-step explanation:

We can group the coins into groups that are ...

  4 quarters + 2 dimes + 1 nickel

Then each group satisfies the ratio requirements, and the total value of a group is $1.25.

Since the total value in the register is $12.50, there must be 10 such groups, hence 20 dimes.

i dont quite get the question but...

i guess this is how it is.

Take the mirror image of∆ABC Through the a line through the point y=3.

The new ∆ABC would have point C=(4,2)

B=(3,-6) A=(1,-3)

Now shifting the ∆ABC one unit (i.e. 2 acc. to the graph as scale is 1 unit =2) towards right ( or adding 2 to the x coordinates of ∆ABC)

We get the Coordinates of triangle ABC as A=(3,-3) B=(5,-6) C=(6,2).

This coordinate is the same coordinates of ∆A"B"C".

Hope it helps...

Regards;

Leukonov/Olegion.