can a pentagon be a cross section of a triangular prism?

A.) [tex]\frac{24\pi }{5} < \frac{63}{4} < 15.758 < 956\sqrt{e}[/tex] is the set of numbers correctly ordered from least to greatest (ascending order).

Ascending order is a method of arranging numbers from smallest value to largest value. The order goes from left to right. Ascending order is also sometimes named as increasing order.

[tex]\frac{24\pi }{5} = 15.0796\\\\\frac{63}{4} = 15.75\\\\956\sqrt{e} = 1576.177[/tex]

15.079 < 15.75 < 15.758 < 1576.177

[tex]\frac{24\pi }{5} < \frac{63}{4} < 15.758 < 956\sqrt{e}[/tex]

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Answer:

7/4=5/3 is the answer

Answer:

x=7

Step-by-step explanation:

As seen from the higher two numbers, there is a distinct ratio between the shorter side and the longer side. To find the ratio we simply get the given two without the x and we get 8:12 which simplifies to 2:3 or 1: 1.5

This means in order to find 3x-6, we need to multiply 10 by 1.5 which means:

3x-6=15

3x=21

x=7

Hope this helped!

X= -5

-13.5 ÷ 2.7= -5

-5=x

Answer:

x=5

Step-by-step explanation:

Answer:

Exposure to the UV light is the dependable independent variable.

Step-by-step explanation:

An independent variable does not depend on another variable, but can rather have another variable depending on it. In this case, the chances of getting skin cancer depends on if a person is exposed to a high dose of UV light. The chances of getting skin cancer is the dependent variable, while the exposure to the UV light is the independent dependable variable.

Answer:

Dependable variable

Step-by-step explanation:

Answer:

y = 4x + 8

Step-by-step explanation:

Slope-intercept form:

m = 4

x-intercept = -2, it means x = -2, y = 0

Using this point we get the value of b

The form now is:

Answer:

Step-by-step explanation:

66 mile per hour .

Answer:

G.

Step-by-step explanation:

Length = Square root of Square area

= √8 (-√8 is rejected as length is positive)

We know that √4 < √8 < √9 because 4 < 8 < 9.

=> 2 < √8 < 3.

The only answer that is in this range is G.

Answer:

25[tex]x^{2}[/tex] - 30xy + 20xz + 9[tex]y^{2}[/tex]  - 12yz + 4[tex]z^{2}[/tex]

Step-by-step explanation:

We multiply it out.

(5x - 3y + 2z) * (5x - 3y + 2z)

5x*5x + 5x*-3y + 5x*2z - 3y*5x - 3y*-3y -3y*2z + 2z*5x +2z * -3y +2z *2z

25[tex]x^{2}[/tex] - 15xy + 10xz - 15xy + 9[tex]y^{2}[/tex] - 6yz + 10xz - 6yz + 4[tex]z^{2}[/tex]

Add like terms

25[tex]x^{2}[/tex] - 15xy - 15xy + 10xz + 10xz + 9[tex]y^{2}[/tex] - 6yz - 6yz + 4[tex]z^{2}[/tex]

25[tex]x^{2}[/tex] - 30xy + 20xz + 9[tex]y^{2}[/tex]  - 12yz + 4[tex]z^{2}[/tex]

Answer:

3.6/5, 4. 9, 5. 11/2

Step-by-step explanation:

3. 2/5/6

= 2× 6/5

= 12/5

4. 7/9/7

= 7× 7/9

= 9

5. 8/11/4

= 8×4/11

= 11/2

hope you understand this answer

sorry if the answer is wrong

Answer:

the first one

Step-by-step explanation: it worked for me i passed it

Answer:

8x + 1 + 6x + 5 = 90

14x +  6 = 90

14x = 84

x = 6

<DCB is 6x+5

6(6) + 5

36 + 5

41

Answer:

∠ DBC = 41°

Step-by-step explanation:

∠ DBC + ∠ DBA = 90° , substitute values

6x + 5 + 8x + 1 = 90, that is

14x + 6 = 90 ( subtract 6 from both sides )

14x = 84 ( divide both sides by 14 )

x = 6

Thus

∠ DBC = 6x + 5 = 6(6) + 5 = 36 + 5 = 41°

Answer:

A=30cm, B=39cm

Step-by-step explanation:

They are an enlargement. Therefore, the sides are larger by the same proportion, otherwise, it wouldn't be an enlargement. Therefore, the bottom side of the big one is 3 times that of the small one. Therefore, the other sides are also 3 times, making A = 30cm and B = 39cm.

Answer:

A

12cm to 36cm is mulitiply by 3, so that means that you mutiply each of the other sides by 3 to get your answer

Answer:

Y = 3/4X - 3/2

Step-by-step explanation:

3X - 4y =6

3X - 6 =4Y

Y = 3/4X - 3/2

The value of Y for the expression 3x - 4y = 6 will be Y = 3/4X - 3/2.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

The given expression is 3x - 4y = 6. The value for y will be calculated as,

3X - 4y =6

Rearrange the above equation and solve for Y,

3X - 6 =4Y

Y = 3/4X - 3/2

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Answer: x = -2

Step-by-step explanation:

3x+5 -13x =25     combine like terms on the left side

-10x + 5 = 25        Subtract 5 from both sides

        -5      -5

-10x = 20     Divide both sides -10

x = -2

Answer:

[tex]x = -2[/tex]

Step-by-step explanation:

If we have the equation [tex]3x+5-13x=25[/tex], we can isolate x on one side and find it's value.

Let's combine like terms.

[tex]-10x + 5 = 25[/tex]

Subtract 5 from both sides:

[tex]-10x + 5 - 5 = 25 - 5\\\\-10x = 20[/tex]

Divide both sides by -10:

[tex]-10x\div-10 = 20\div-10\\\\x = -2[/tex]

So [tex]x = -2[/tex].

Hope this helped!

Answer:

Step-by-step explanation:

Terms           Coefficient

7p                    7

-6z                    -6

-80                  constant term

Use the angle sum identities to expand [tex]\sin(3A)[/tex] and [tex]\cos(3A)[/tex]:

[tex]\sin(3A)=\sin(A+2A)=\sin A\cos(2A)+\cos A\sin(2A)[/tex]

[tex]\cos(3A)=\cos(A+2A)=\cos A\cos(2A)-\sin A\sin(2A)[/tex]

Use the double angle identity to expand [tex]\sin(2A)[/tex]:

[tex]\sin(2A)=2\sin A\cos A[/tex]

So we have

[tex]\sin(3A)=\sin A\cos(2A)+2\cos^2A\sin A[/tex]

[tex]\cos(3A)=\cos A\cos(2A)-2\sin^2A\cos A[/tex]

Then divide the first expression by [tex]\sin A[/tex] and the second by [tex]\cos A[/tex]:

[tex]\dfrac{\sin(3A)}{\sin A}=\cos(2A)+2\cos^2A[/tex]

[tex]\dfrac{\cos(3A)}{\cos A}=\cos(2A)-2\sin^2A[/tex]

Squaring these gives

[tex]\dfrac{\sin^2(3A)}{\sin^2A}=(\cos(2A)+2\cos^2A)^2=\cos^2(2A)+4\cos(2A)\cos^2A+4\cos^4A[/tex]

[tex]\dfrac{\cos^2(3A)}{\cos^2A}=(\cos(2A)-2\sin^2A)^2=\cos^2(2A)-4\cos(2A)\sin^2A+4\sin^4A[/tex]

Subtract the second expression from the first to get the original equation. The [tex]\cos^2(2A)[/tex] terms cancel, leaving us with

[tex]4\cos(2A)\cos^2A+4\cos^4A+4\cos(2A)\sin^2A-4\sin^4A=2[/tex]

Now, notice that

[tex]4\cos(2A)\cos^2A+4\cos(2A)\sin^2A=4\cos(2A)(\cos^2A+\sin^2A)=4\cos(2A)[/tex]

and

[tex]4\cos^4A-4\sin^4A=4(\cos^2A-\sin^2A)(\cos^2A+\sin^2A)=4\cos(2A)[/tex]

because [tex]\cos^2A+\sin^2A=1[/tex] and [tex]\cos^2A-\sin^2A=\cos(2A)[/tex].

So we're left with

[tex]4\cos(2A)+4\cos(2A)=8\cos(2A)=2\implies\boxed{\cos(2A)=\dfrac14}[/tex]

Answer:

$60

Step-by-step explanation:

10x6=60. 6+6+6+6+6+6+6+6+6+6= 60

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

Explanation:

Angle PQT = 35 degrees is given. This inscribed angle subtends or cuts off minor arc PT. This is the shortest distance along the circle from P to T. Any other inscribed angle that cuts off this same arc will also be the same measure. Note how angle PRT is such an inscribed angle, so,

angle PRT = 35 degrees

which we'll use later.

----------------

Focus on triangle ROS. Interior angle O is 180-82 = 98 degrees due to it being supplementary to the 82 degree angle shown.

Triangle ROS is isosceles with OR = OS being the two equal radii. The opposite base angles R and S are congruent angles. Call them x for now

(angle O) + (angle R) + (angle S) = 180

98+x+x = 180

2x+98 = 180

2x = 180-98

2x = 82

x = 82/2

x = 41

For triangle ROS, interior angle R is 41 degrees. Put another way,

angle ORS = 41 degrees

we'll use it below along with angle PRT

------------------------

angle PRS = (angle PRT) + (angle ORS)

angle PRS = (35) + (41)

angle PRS = 76 degrees

Answer:

Step-by-step explanation:

To find the value of x when y = 24, we must first find the relationship between them

where k is the constant of proportionality

when

x = 16

y = 2

Substitute the values into the above formula and solve for k

That's

Cross multiply we have the answer as

k = 8

So the formula for the variation is

Now when y = 24

We have

Square both sides

We have the final answer as

Hope this helps you

Answer:

60

Step-by-step explanation:

Answer:

9+11x

Step-by-step explanation:

Answer:

-2.5(z+2)

Step-by-step explanation:

Answer for the blank is: 10

The exponents are -2, 3 and 9. Note how the bases are all the same at 4x. When we multiply exponential expressions like this, we add the exponents. So we'll get -2+3+9 = 1+9 = 10 as the final exponent over the base 4x

In short,

[tex](4x)^{-2}*(4x)^3*(4x)^9 =(4x)^{-2+3+9} = (4x)^{10}[/tex]

please help meeee!!!!!! complete the equation below. (4x)^-2(4x)^3(4x)^9 =(4x)=10