16.4
19.6
10.6
21.2
question 45

Answer:

x = 72 degrees

Step-by-step explanation:

If triangle LMN = triangle QPR, that means:

- angle L (x) equals angle Q

- angle M equals angle P

- angle N equals angle R

We know angle Q equals 72 degrees and we know angle Q equals angle L. Since angle L is the "x" we are looking for, we know that x = 72 degrees.

Answer:

10

Step-by-step explanation:

because tossed 10 times so it would be 1 out of 10

Answer:

The answer is B

Step-by-step explanation:

Answer:

Store #1 : 2x + 40

Store #2 : 3x + 36

he should buy his aquarium from store #1 because (2 * 5) + 40 = 50 and     (3 * 5) + 36 = 51, therefore it is cheaper at store #2 if he is buying 5 fish

To represent the cost of x fish and an aquarium at each store, we can set up a system of equations and solve them. By substituting the given information into the equations and simplifying, we can find the values of the variables. The solution represents the cost of an aquarium at each store. By comparing the total cost at each store, we can determine from which pet store Ronald should buy his aquarium if he wants 5 fish.

To write a system of equations to represent the cost of x fish and an aquarium at each store, let's assign variables to the cost of fish and the cost of an aquarium at each store.

Let:

x = number of fish

y = cost of an aquarium at the first store

z = cost of an aquarium at the second store

The first equation can be set up as: 2x + y = total cost at the first store

The second equation can be set up as: 3x + z = total cost at the second store

Solve this system to find the values of y and z.

Substitute the given information into the equations:

2x + y = 40 (equation 1)

3x + z = 36 (equation 2)

Multiply equation 1 by 3 and equation 2 by 2 to eliminate the y variable:

6x + 3y = 120

6x + 2z = 72

Subtract equation 2 from equation 1:

6x + 3y - (6x + 2z) = 120 - 72

6x - 6x + 3y - 2z = 48

y - 2z = 48

Now we have a system of equations:

y - 2z = 48

3x + z = 36

Solve this system using any method of your choice, such as substitution or elimination, to find the values of y and z.

Once you have the values of y and z, you can determine the cost of an aquarium at each store.

Compare the total cost at each store to decide from which pet store Ronald should buy his aquarium if he wants 5 fish.

Answer:

Option b.

y = 4 sin (3x)

Step-by-step explanation:

To quickly solve this problem, we can use a graphing tool or a calculator to plot the equation.

Please see the attached image below, to find more information about the graph

The period is  

T = 2π/3

This means the frequency in radians is

W = 2π/T = 3

The equation is either:

y = 4 cos(3x)

y = 4 sin (3x)

The correct answer is

Option b.

y = 4 sin (3x)

Answer:

B

Step-by-step explanation:

Triangle ABD and triangle ACE are similar.  So we can write a proportion:

AB / BD = AC / CE

5 / 4 = 12 / CE

CE = 9.6

The measure of side CE will be 9.6. Then the correct option is B.

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

The triangle ΔABD and triangle ΔACE are similar. Then we have

AB / AC = BD / CE

   5 / 12 = 4 / CE

       CE = 9.6

Then the measure of side CE will be 9.6.

Then the correct option is B.

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Answer:

{ x | x  ≥  8 }

Step-by-step explanation:

Set up an equation to model this situation and solve:

2x=56

*Divide both sides by 2*

x=38

Hope this helps!!

Answer:

10.5 in. ²

Step-by-step explanation:

a = (b × h) ÷ 2

a = (7 × 3) ÷ 2

a = 21 ÷ 2

a = 10.5

Answer:

A

Step-by-step explanation:

The solution to f(x) = g(x) occurs where the two graphs cross.  That's at the point (-2, -1).

Answer A.

To find where f(x) = g(x), set the two functions equal to each other and solve for 'x'. After some mathematical simplification and operations on both sides of the equation, we find that the solution is x = -1/9.

In mathematics, to find the solution for f(x) = g(x), you need to set the two equations equal to each other and solve for x. Here, we have f(x) = 2x and g(x) = 1/-3-x. Setting these two equations equal gives 2x = 1/-3-x.

To solve this equation, first, let's simplify the right hand side by multiplying both sides by -1 to make it easier to solve. Now the equation is -2x = 1/3+x.

Subtracting 'x' from both sides of the equation gives -3x = 1/3. Divide by -3 to solve for x so, x = -1/9. So, the solution for the equation f(x) = g(x) is x = -1/9.

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Answer:

[tex]\boxed{m\angle A = m\angle D}\\[/tex]

Step-by-step explanation:

When you use a congruence statement, you must line up the corresponding parts of the triangles.

BC = DE is wrong, because BC = EF.

[tex]\boxed{m \angle A = m \angle D}[/tex] is correct.

m∠B = m∠F is wrong, because m∠B = m∠E.

AC = EF is wrong, because AC = DF

Triangle ABC is congruent to triangle DEF.m∠A=m∠D must be true about the triangles. Option B is correct.

A triangle is a three-sided polygon. It is one of the most fundamental geometric forms.

Triangle DEF and triangle ABC are congruent. The following assertion concerning triangles must be true:

m∠A=m∠D

Hence, statement B is correct.

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Answer:

The first choice.

Step-by-step explanation:

The area is multiplied by (1/2)^2 = 1/4.

This is because lengths are one dimensional and areas are 2 dimensional.

Answer:

First option is correct i.e: The surface area is multiplied by 1/4

Step-by-step explanation:

Need to compare the surface area of right rectangular prism when the length, width and height are halved as compared to original length, width and height.

length =4,width =2,height =7

Area of right rectangular prism = 2(wl+hl+hw)

=2(2*4 + 7*4 + 7*2)

=2(8+28+14)

=2(50)

= 100 cm³

Now, if the length, width and height are halved, the surface area will be:

length= 2, width=1, height= 3.5

Area of right rectangular prism= 2(1*2 + 3.5*2 + 3.5*1)

= 2(2+7+3.5)

=2(12.5)

=25 cm³

if the length, width and height are halved the surface area is 25 cm³ while if original length, width and height are used the surface area is 100 cm³.

So, first option is correct i.e: The surface area is multiplied by 1/4.

Answer:

136.015 yd

Step-by-step explanation:

Length of diagonal is:

√( (80 yd)² + (110 yd)² ) = √( 18500 yd² ) = 136.015 yd

so you first at the two numbers then you at the number to go out with a second then you keep doing that until you get into you don't have no more to answer so thank you

Answer:

  x = 1 and x = 4

Step-by-step explanation:

A graph of the given equation, after rewriting to make the solutions be zeros of the function, shows the solutions to be x = 1 and x = 4.

You can take the antilog and solve the quadratic:

  log3((6x)^2/(4x)) = log3((x+2)^2) . . . . consolidate the logs

  9x = (x +2)^2 . . . . simplify and take the antilog

  0 = x^2 -5x +4 . . . subtract 9x

  0 = (x -4)(x -1) . . . . factor

Solutions are x = 1 and x = 4. (These values make the factors zero.)

Answer:

c on edge

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

The maximum value is the amplitude. Looking at graph, it would be the highest point in the graph.

Each unit of the graph is 2 units, hence the maximum value, clearly looking at the graph, would be y = 2. Also the minimum value is y = -2.

So, the maximum value is 2

Answer:

the answer 43.5 units²

Step-by-step explanation:

i took this in school and remember it hope it helped

1. The area of the figure is 42 units².

2. The area of the figure is 38 units²

The area of a figure is the extent of its 2D space, quantifying the region it occupies.

It's calculated using specific formulas based on the figure's geometric properties, such as length, width, and shape.

1. The figure can be splitted into 3

Area1 = 1/2bh

= 1/2 × 7 × 2

= 7units²

Area 2 = l × w

= 7 × 4 = 28 units²

Area 3 = 1/2bh

= 1/2 × 7 × 2

= 7 units²

Area of figure = 28+7+7

= 42 units²

2. The shape can be divided into a trapezoid and two equal triangles

area of Trapezoid = 1/2(a+b)h

= 1/2 ( 3+5)8

= 8 × 4

= 32 units²

area of triangle = 1/2bh

= 1/2 × 3 × 4

= 6 units²

area of the figure = 32 + 6

= 38 units²

Remember to be mindful of the signs when adding and subtracting. The answer is:11w^4-5w^2z^2-4z^4

It is.

The function is just another way of saying to transfer something from domain A to domain B.

[tex]f(x)=y:A\longrightarrow B; x\in A, y\in B[/tex]

Now your function states:

[tex]D=\{x\} \\

f(x)=y: D\longrightarrow E; x\in D, y\in E[/tex]

Answer:

B. 9.76 u²

Step-by-step explanation:

First calculate the area of the 60° wedge of the circle by calculating the area of the full circle and multiplying it by a fraction of 60°/360°:

[tex]A_{ABC}=\frac{60}{360}*\pi *r^{2}\\A_{ABC}=\frac{60}{360}*\pi *(6\sqrt{3})^{2}\\A_{ABC}=56.54[/tex]

Now calculate the the area of the white triangle in the wedge, by using a base length of [tex]3\sqrt{2}[/tex], and height:

[tex]h=\sqrt{(6\sqrt{3})^{2}-(3\sqrt{3})^{2}} \\h=9[/tex]

[tex]A_{TRI}=\frac{1}{2}*9*6\sqrt{3} \\A_{TRI}=27\sqrt{3} \\A_{TRI}=46.78[/tex]

Find the area of the red segment:

[tex]A_{ABC} -A_{TRI}\\=56.54-46.78\\=9.76[/tex]

You would multiply 50x16 being 16 ounces= 1 pound and than divide that by 10

Answer:

  B)  BD

Step-by-step explanation:

The number of columns of the first matrix (2nd dimension) must match the number of rows of the second matrix (1st dimension). When you write the dimensions together, the two middle numbers must be the same.

AB ⇒ (3x2) × (3x5) . . . . 2 ≠ 3, so cannot be multiplied

BD ⇒ (3x5) × (5x7) . . . . 5 = 5, so can be multiplied

CD ⇒ (2x3) × (5x7) . . . . 3 ≠ 5, so cannot be multiplied

DD ⇒ (3x5) × (3x5) . . . . 3 ≠ 5, so cannot be multiplied

ANSWER

Left

EXPLANATION

The given function is

g(x)=f(x+1)

This means that the base function is:

f(x).

The translation f(x+k) will shift the graph to left by k units while f(x-k) will shift the graph to right by k units

Therefore if g(x)=f(x+1) translates the function f(x) 1 unit left.

Answer: left

Answer:

g(x) translates the function f(x) 1 unit left.

Step-by-step explanation:

Consider the provided function.

g(x)=f(x+1)

Transformation:

Rule 1:  The graph of parent function f(x) move up b unit for f(x)+b.

Rule 2: The graph of parent function f(x) move down b unit for f(x)-b.

Rule 3: The graph of parent function f(x) move left b unit for f(x+b).

Rule 4: The graph of parent function f(x) move right b unit for f(x-b).

From the rule 3  we can say that the graph of parent function move left 1 unit for g(x)=f(x+1)

g(x) translates the function f(x) 1 unit left.

You add/subtract complex numbers simply by adding/subtracting real parts and imaginary parts.

So, the real part of this sum is the sum of the real parts:

[tex]-3+6=3[/tex]

And the imaginary part of this sum is the sum of the imaginary parts:

[tex]5i+2i=7i[/tex]

So, you have

[tex](-3+5i)+(6+2i) = 3+7i[/tex]

Answer:

z = -0.4.

Step-by-step explanation:

Here's the formula for finding the z-score (a.k.a. standardized normal variable) of one measurement [tex]x[/tex] of a normal random variable [tex]X \sim N(\mu,\; \sigma^{2})[/tex]:

[tex]\displaystyle z = \frac{x-\mu}{\sigma}[/tex],

where

Let the length of a trout in this lake be [tex]X[/tex] inches.

[tex]X \sim N(30, \; 4.5^{2})[/tex].

For this measurement, [tex]x = 28.2[/tex]. Apply the formula to get the z-score:

[tex]\displaystyle z = \frac{x - \mu}{\sigma} = \frac{28.2 - 30}{4.5} = -0.4[/tex].

Answer:

I think the answer is A sorry if I'm wrong

Answer:

19,262.5

Step-by-step explanation:

If the car decreases by 4.5% eah year for 5 years-

4.5 x 5 = 22.5%

So after 5 years, the car would be 22.5% cheaper.

22.5% of 25,000 is multiplication-

.225 x 25,000 = 19,262.5

hope this helps!

Since the diameter and height of both shapes are the same, we know that the equation to solve for the semi circle is:

πr = 3.1*8 = 24.8

16 + 20 = 36

36 + 24.8 = 60.8

The perimeter of the shape is 60.8 ft

Answer:

$550

Step-by-step explanation:

You need the equation E(s) = 350 + 0.15s, where E(s) represent his total weekly earnings.

If he earned $432.50 this means E(s) = 432.50 and you can write it as:

350 + 0.15s = 432.50 and this is the equation we need to solve

You need to substract 350 on both sides of the equation

350 - 350 +0.15 s = 432.50 - 350

And we get

0.15s = 82.5

Then we divide both sides of the equation by 0.15

0.15s/0.15 = 82.5/0.15

And we get s = 550.

Answer:

(10, 4)

Step-by-step explanation:

The horizontal distance from (-4, -2) to the midpoint (3, 1) is 7, and the vertical distance is 3.  To find the other end point of this line segment, add 7 to the x-coordinate of the midpoint:  3+7 = 10, and add 3 to the y-coordinate of the midpoint:  1 + 3 = 4.  The coordinates of the other end of this segment are thus (10, 4) (the fourth possible answer choice).

The intersection of a cone and a plane parallel to its base is a circle. This is due to the concept of 'conic sections' that determine the shape based on the angle and position of the plane's intersection with the cone.

The cross section formed by the intersection of a cone and a plane parallel to the base of the cone is a circle. This shape is one of the conic sections, which also include the ellipse, parabola, and hyperbola. These shapes are formed depending on the angle and position at which a plane intersects with a cone.

A circle is formed when the cutting plane is parallel to the base of the cone. If the plane was at an angle, other shapes like an ellipse, parabola or hyperbola would be obtained. The word 'conic sections' comes from this geometric principle of intersecting a cone with a plane.

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