A traffic yield sign is in the shape of an equilateral triangle. If each side is 36 inches,
what is the height of the sign to the nearest tenth of an inch?

the answer is 9 because

3x9=27

and 27-18=9

mark brainliest plz

Answer: I and III

Step-by-step explanation:

The graphs of f and g have the same axis of symmetry. The graph of f has a maximum point, and the graph of g has a minimum point. The graph is a result of a reflection of the graph pf g across the x-axis. The correct options are 1, 3, and 4.

A quadratic polynomial in mathematics is a polynomial of degree two in one or more variables. The polynomial function defined by a quadratic polynomial is known as a quadratic function.

We can use the fact that the points (3,2) and (7,2) are on the graphs of both functions to find out which of the given statements are true.

Let's start by using the fact that the graphs of the functions f and g pass through the points (3,2) and (7,2).

Since the y-coordinate is the same for both points, we can set the equations of the functions equal to 2 and solve for the unknown coefficients.

For the downward-opening quadratic function f, the equation is of the form:

[tex]f(x) = a(x - h)^2 + k[/tex]

Where (h,k) is the vertex of the parabola. Since f opens downward, the coefficient a is negative.

Using the point (3,2), we get:

[tex]2 = a(3 - h)^2 + k[/tex]

Using the point (7,2), we get:

[tex]2 = a(7 - h)^2 + k[/tex]

Subtracting the second equation from the first, we get:

[tex]0 = a[(3 - h)^2 - (7 - h)^2][/tex]

Simplifying this expression, we get:

0 = a[(3 - h + 7 - h)(3 - h - (7 - h))]

0 = a[-4(h - 5)]

Since a is non-zero (otherwise the parabola is not quadratic), we get:

h = 5

Plugging in h = 5 and using one of the equations above, we can solve for k:

[tex]2 = a(3 - 5)^2 + k[/tex]

2 = 4a + k

k = 2 - 4a

Therefore, the equation of the quadratic function f is:

[tex]f(x) = a(x - 5)^2 + (2 - 4a)[/tex]

Using the same method for the upward-opening quadratic function g, we get:

[tex]g(x) = b(x - 5)^2 + (2 + 4b)[/tex]

Where b is positive.

Now, let's check which of the given statements are true:

The graphs of f and g have the same axis of symmetry.

Since the vertex of f is (5, 2 - 4a) and the vertex of g is (5, 2 + 4b), the x-coordinate of the axis of symmetry for both functions is 5. Therefore, statement 1 is true.

The graphs of f and g have the same x-intercepts.

The x-intercepts of f are given by:

[tex]0 = a(x - 5)^2 + (2 - 4a)\\4a = a(x - 5)^2[/tex]

x - 5 = ±√(4/a)

x = 5 ± 2√(a)

The x-intercepts of g are given by:

[tex]0 = b(x - 5)^2 + (2 + 4b)[/tex]

-4b = [tex]b(x - 5)^2[/tex]

x - 5 = ±√(-4/b)

x = 5 ± 2i√(b)

Thus, since a and b have opposite signs, the x-intercepts of f and g are different. Therefore, statement 2 is false.

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Step-by-step explanation:

In cuboid .

Volume

= Length * breadth * height

= 12 m * 6 m * 5 m

= 360 m³

Hope it will help :)❤

Answer:

Step-by-step explanation:

To find volume we need to do length × width × height

We know the length is 12, the width is 6 and the height is 5

[tex]12*6=72[/tex]

[tex]72*5=360[/tex]

Once you have multiplied the numbers, you add the form of measurement which in this case is meters/m. So we will add m to the end.

Also since it is volume, we need to add ^3

360 m^3

Answer:

6) yes

7) no

Step-by-step explanation:

Answer:

4.23

Step-by-step explanation:

3.68 + 0.21 + 0.25 + 0.01 + 0.08 = 4.23

Step-by-step explanation: it 6

Answer: 252m^2 (squared)

Step-by-step explanation: 2×(6×3 + 6×12 + 3×12) = 252m^2

240 is the answer you're looking for!

Step-by-step explanation:

To find the area, spilt the trapezoid into 3 shapes.

2 triangles (at the ends) and 1 rectangle (the center).

Let's start with the rectangle, the formula for rectangle area is:

[tex]l*w=A[/tex]

The length of the rectangle is 12, the width is 20. Add the numbers in:

[tex]12*20=A[/tex]

Solve:

[tex]12*20=240[/tex]

The area of the rectangle is 240. Now solve for the Triangles.

The formula for finding the area of triangles are is:

[tex](L*W)/2[/tex]

The length of the triangle is 12. To find the width subtract 20 from 30.

L = 12, W = 10. Add in the numbers.

[tex](12*10)/2 = A[/tex]

Use order of operations to solve, start with parenthesis:

[tex]120/2=A[/tex]

Rember to divide it by 2 because a triangle is half of a rectangle.

[tex]60 =A[/tex]

Since there are two identical triangles, you don't need to solve for the other

Now, add the areas together:

[tex]60 + 120+60=A[/tex]

Then solve:

[tex]180+60=A[/tex]

[tex]240=A[/tex]

The correct answer is 240.

Answer:

Step-by-step explanation:

very sorry if I'm wrong

Answer:

It's called proportion.

Step-by-step explanation:

The equality of ratios are proportional because like for example 2:3 and 4:9 these two ratios are the same. If you break down 4:9 you will get 2:3. So That's how the term proportional is applied. If we apply these ratio on a triangle they would look the same but just one is small and one is large and we can get it bigger by increasing the ratios. But the difference bwtween the ratios would be same so they are all proportional

Answer:

A (I think because i cant tell what the answers are saying)

Step-by-step explanation:

1.5/5= 0.3

3/10=0.3

4.5/15=0.3

6/20=0.3

Next time take a screenshot because i can not really see what the answers are supposed to be. But A is the only one that should be correct

Answer:

The vertex is located on the x-axis between the second and third quadrants

Step-by-step explanation:

Whereby the function is f(x) = (x + 3)², we have;

f(x) = (x + 3)² = x² + 6·x + 9

The vertex, (h, k), of the quadratic function given in general form, a·x² + b·x + c is found as follows;

h = -b/(2·a) and k = f(h)

Therefore by comparison of the given quadratic function and the general form of a quadratic function, we have;

a = 1, b = 6, c = 9

h = -6/(2 × 1) = -3

k = f(-3) = (-3)² + 6 × (-3) + 9 = 0

The vertex (h, k) = (-3, 0)

Therefore, the location of the vertex is on the x-axis axis between the second and the third quadrant.

Answer:

They most of the time used the ability to row ships to get to places

Step-by-step explanation:

They were more reliable to row ships to trade with other people because the Mediterranean Sea was critical to how they were able to trade.

Answer:

Volume of left side cylinder will be less than the volume of right side cylinder.

Step-by-step explanation:

Volume of a cylinder is given by the formula,

Volume = πr²h

Here, r = radius of the circular base

h = Height of the cylinder

Volume of the left hand cylinder = π(b)²a

Volume of the right hand cylinder = π(a)²b

It's given in the question that a > b

Let the value of a = 3 and b = 2

Then the volume of left hand cylinder = π(2)²(3)

                                                               = 12π

Similarly, volume of right hand cylinder = π(3)²(2)

                                                                 = 18π

Therefore, volume of left side cylinder will be less than the volume of right side cylinder.  

Answer:

The volume is 196 cubic yards

Step-by-step explanation:

Given

[tex]Base\ Area = 7yd * 2yd[/tex]

[tex]Height = 14yd[/tex]

Required

The volume

The volume is given as:

[tex]Volume = Base\ Area * Height[/tex]

Where:

[tex]Base\ Area = 7yd * 2yd[/tex]

[tex]Height = 14yd[/tex]

So, the equation becomes

[tex]Volume = 7yd * 2yd * 14yd[/tex]

[tex]Volume = 196yd^3[/tex]

Answer:

No because one side would have to be 54 in order for it to work

Step-by-step explanation:

the area is 634 and the perimeter is 128 so that would mean that one side would need to be 54

Answer:

C) SSS

Step-by-step explanation:

SSS stands for "side, side, side" and means that we have two triangles with all three sides equal.  

If three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Answer:

D

Step-by-step explanation:

-7 cubed = -343

-3 squared = -9

-343 - (-9) = -334

Answer:

720 possible orders

Step-by-step explanation:

To order 6 people in a line, let's imagine them as 6 possible spaces:

( )( )( )( )( )( )

Going from left to right, let's start with space 1.

There are 6 possibilities for space 1 as any of the 6 people could occupy that space in the line.

(6)( )( )( )( )( )

Next, since one person will have already occupied space 1, there are only 5 people left who can occupy space 2, so there are 5 possibilities for space 2:

(6)(5)( )( )( )( )

Continuing in this fashion, there are now only 4 people left so 4 possibilities for space 3 and etc.

(6)(5)(4)(3)(2)(1)

This means we have 6,5,4,3,2 and 1 possibilities for each space respectively.

Multiply them together and we have:

6x5x4x3x2x1 = 720 possible orders.

Hope this helped!

Answer:

We have to arrange 6 people in line

. Now, the number of ways to arrange n items = n!.

Hence, the answer is 6!=

=6×5×4×3×2×1= 720 orders

Answer:

B

Step-by-step explanation:

we are given a equation of a line

we want to figure out the equation of the perpendicular line passes through the (6,5) points

in order to do so

recall that,

[tex] \displaystyle m_{ \text{perpendicular}} = - \frac{1}{m} [/tex]

we got from our given equation that m=2

because equation of a line is y=mx+b

thus

[tex] \displaystyle m_{ \text{perpendicular}} = - \frac{1}{2} [/tex]

remember that, when we want to figure out perpendicular line or parallel line we should the formula given by

[tex] \displaystyle y - y_{1} = m(x - x_{1})[/tex]

since we got our perpendicular m is -½, [tex]x_1=6[/tex] and [tex]y_1=5[/tex], substitute

[tex] \displaystyle y - 5 = - \frac{1}{2} (x - 6)[/tex]

to get the perpendicular equation you should simplify the above equation to y=mx+b form

distribute -½:

[tex] \displaystyle y - 5 = - \frac{1}{2} x + 3[/tex]

add 5 to both sides:

[tex] \displaystyle y = - \frac{1}{2} x + 8[/tex]

hence,

our answer choice is B

Answer:

good luck

Step-by-step explanation:

i have no clue but plz r8 5

Answer:

The answer should be 2520

Answer:

23 yards

Step-by-step explanation:

Answer:

x = 0 -> use the second

2(0)²-3(0)+10

h(0)= 10

x= 4 -> use the 3rd

h(4)=2⁴ = 16

The value of h(0) is 10, and h(4) is 16 because the function is a piecewise function.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a piecewise function shown in the graph:

When x = 0

h(x) = 2x² -3x + 10,  0 ≤ x , 4

h(0) = 2(0)² -3(0) + 10

h(0) = 10

When x = 4

h(x) = 2ˣ

h(4) = 2⁴ = 16

Thus, the value of h(0) is 10, and h(4) is 16 because the function is a piecewise function.

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pretty sure its y=2^x aka B

Answer:

Step-by-step explanation:

something like this  Gigi,

y = -5([tex]x^{2}[/tex])

Answer:

A

Step-by-step explanation:

X is 6 or less so we can start there  x≤6. X is also more than -5 so we can do that. -5<x. If we put those two together we get -5<x≤ 6.

The expression for the statement is option (A) [tex]-5 < x\leq 6[/tex] is the correct answer.

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is the condition of being unequal.

For the given situation,

The statement of inequality is x is 6 or less and more than – 5

The inequality for x is 6 or less ,

⇒ [tex]x\leq 6[/tex]

The inequality for x is more than – 5

⇒ [tex]x > -5[/tex]

Thus x is 6 or less and more than – 5 can be written as inequality,

⇒ [tex]-5 < x\leq 6[/tex]

Hence we can conclude that the expression for the statement is option (A) [tex]-5 < x\leq 6[/tex] is the correct answer.

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Answer:

x = 9

z = 71

Hope this helps!