The sum of the interior angle measures of a convex polygon is 540° . How many sides does it have?

Answer:

A

Step-by-step explanation:

perimeter of the base...

In the surface area formula for prisms, the letter "P" stands for "Perimeter of the base."

The surface area of a prism is calculated by adding the areas of all its faces. For a prism, the bases are typically parallel polygons, and the other faces are parallelograms connecting the corresponding vertices of the bases.

To find the area of the base, we need to consider its shape and dimensions. The perimeter of the base is the total length of all its sides. Therefore, when calculating the surface area of a prism, we need to determine the perimeter of the base and multiply it by the height of the prism.

By multiplying the perimeter of the base by the height, we obtain the lateral area of the prism. Adding the areas of the two bases to the lateral area gives us the total surface area of the prism.

So, in the surface area formula for prisms, the "P" represents the "Perimeter of the base."

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Answer:

proved

Step-by-step explanation:

hope this helps!!

Answer:

-375 + 500d - 125c

Step-by-step explanation:

Multiply everything by -25. Also keep in mind that 2 negatives make a positive. You can't simplify any further since each numbers have different variables.

Answer:

Step-by-step explanation:

-375 + 500d - 125c

Hope that helps! :)

Answer:

0.0750 I took the test

The experimental probability of pulling a blue marble and then a yellow marble is 0.075 or 7.5%, which is closest to answer option B.

Probability is a statistical term that describes the possibility that something will occur.

Since there is only one blue marble in the bag, the likelihood of getting a blue marble on the first draw is 1/6.

After the blue marble is replaced, the probability of drawing a yellow marble on the second draw is 2/6, since there are now 2 yellow marbles out of a total of 6 marbles in the bag.

The probability of sketching a blue marble and subsequently a yellow marble in the same attempt is:

P(blue then yellow) = P(blue) x P(yellow | blue)

P(blue then yellow) = (1/6) x (2/6)

P(blue then yellow) = 1/18

Since the marbles are replaced after each draw, the probability of drawing a blue marble and then a yellow marble is independent of one attempt to the next.

The experimental probability of pulling a blue marble and then a yellow marble in 40 attempts can be calculated by dividing the number of times it occurred by the total number of attempts:

Experimental probability = number of times blue then yellow was pulled / total number of attempts

Experimental probability = 3 / 40

Experimental probability = 0.075

Therefore, the experimental probability of pulling a blue marble and then a yellow marble is 0.075 or 7.5%.

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Answer: Square root (52), No

Step-by-step explanation:

Answer:

Step-by-step explanation:

4^2 + 6^2 = x^2

sqrt 52 = x

x= 7.211

No, it is not a pythagorean triple because x is not a whole number.

Answer:

X= 15.6

Step-by-step explanation:

Hope it was helpful ;)

Answer:

[tex]x = \frac{78}{5} [/tex]

Step-by-step explanation:

[tex]2.5x - 11 + 11= 50 - 11 \\ 2.5x = 39 \\ \frac{2.5x}{2.5} = \frac{39}{2.5} \\ x = \frac{78}{5} [/tex]

Answer:

3x^2 + 7y^2

Step-by-step explanation:

3x^2 + y + 2y^2 + 4y^2 = 3x^2 + 7y^2

Answer:

u = 5

Step-by-step explanation:

[tex]\frac{u + 7}{15} = \frac{4}{5}[/tex]

We want to solve for u. This means we need to isolate u on one side of the equation.

To do this, first multiply both sides by 15. This will cancel out the denominator on the left side.

[tex]u + 7 = (\frac{4}{5})(\frac{15}{1})[/tex]

Multiply the numerators and denominators separately.

4 • 15 = 60

5 • 1 = 5

[tex]u + 7 = \frac{60}{5}[/tex]

Simplify the fraction.

60 ÷ 5 = 12

u + 7 = 12

Subtract 7 from both sides.

u = 5

Check your work by plugging u = 5 back into the original equation.

[tex]\frac{5 + 7}{15} = \frac{4}{5}[/tex]

[tex]\frac{12}{15} = \frac{4}{5}[/tex]

[tex]0.8 = 0.8[/tex]

Your answer is correct.

Hope this helps!

Answer:

5 is your answer for u.

Step-by-step explanation:

Note the equal sign, what you do to one side of the equation, you do to the other.

First, multiply 15 and 5 to both sides of the equation (to get rid of the denominators):

[tex]15 * 5 * (\frac{u + 7}{15}) = (\frac{4}{5}) * 5 * 15\\5 * (u + 7) = 4 * 15[/tex]

First, distribute the 5 to all terms within the parenthesis. Also, simplify the right side by multiplying:

[tex]5 * (u + 7) = 4 * 15\\(5 * u) + (5 * 7) = (4 * 15)\\5u + 35 = 60[/tex]

Next, isolate the variable, u. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

~

First, subtract 35 from both sides, and then divide by 5 to isolate the variable, u:

[tex]5u + 35 = 60\\5u + 35 (-35) = 60 (-35)\\5u = 60 - 35\\5u = 25\\\\\\\frac{5u}{5} = \frac{25}{5} \\u = \frac{25}{5} = 5\\u = 5[/tex]

Answer:

x=70°

Step-by-step explanation:

x+110=180 linear pair

x=180-110=70

Answer:

a=52

b=128

r=s=100

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

In the attached, we have graphed the inequalities and the objective function line. As we might surmise by looking at the constraints,* the maximum occurs at the intersection of y=9 and 7x-y = 16, where (x, y) = (25/7, 9).

The maximum value of z is 7(25/7) +2(9) = 25 +18 = 43.

__

The graph shows all inequalities reversed. This has the effect of making the solution space white, rather than buried under 4 levels of shading. As we expect with most "maximize" problems, the feasible region vertex farthest from the origin is the one of interest.

_____

* The only upper bound on y is y ≤ 9. The only upper bound on x is 7x-y≤16. When we're maximizing some objective function with positive coefficients on the variables, these will be the boundaries of interest.

Answer:

DONT CLICK THE LINK ITS A VIRUS

Step-by-step explanation:

Answer:

m<2=60

Step-by-step explanation:

52+68=120+60=180

Answer:

( a) Find the lateral area (in square meters) of the prism.

answer:

the lateral area=perimeter of triangle ×height=

(4+5+6)×8=120m²

(b) Find the total area (in square meters) of the prism. (Round your answer to three decimal places.)

answer:

total surface area=lateral surface area +2crossed section area=120+2×(1/2×4×5) =120+20=140m²

(c) Find the volume (in cubic meters) of the prism. answer:

volume of prism=area of base×height=1/2×4×5×8=80m³

Answer:

x^2+4x

Step-by-step explanation:

(3x^2+10x+20)-(6x+11) = 3x^2+4x+9

(3x^2+4x+9)-(2x^2+9) = x^2+4x

The polynomial that represents the measure of the third side of the plot of land is x² + 4x.

Perimeter of a straight sided figures or objects is the total length of it's boundary.

Given two sides of a triangular plot of land.

6x + 11

2x² + 9

Perimeter = 3x² + 10x + 20

Perimeter of a triangle = Sum of the three sides

Let A represents the third side.

6x + 11 + 2x² + 9 + A = 3x² + 10x + 20

2x² + 6x + 20 + A = 3x² + 10x + 20

A = 3x² + 10x + 20 - (2x² + 6x + 20)

A = x² + 4x

Hence the measure of the third side is x² + 4x.

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Answer:

Combine multiplied terms into a single fraction

13(−6+4)=−112(4+4)

13(−6q+4)=−112(4q+4)\frac{1}{3}(-6q+4)=\frac{-1}{12}(4q+4)31​(−6q+4)=12−1​(4q+4)

1(−6+4)3=−112(4+4)

1(−6q+4)3=−112(4q+4)\frac{1(-6q+4)}{3}=\frac{-1}{12}(4q+4)31(−6q+4)​=12−1​(4q+4)

2

Multiply by 1

3

Combine multiplied terms into a single fraction

4

Distribute

5

Multiply all terms by the same value to eliminate fraction denominators

6

Cancel multiplied terms that are in the denominator

7

Distribute

8

Subtract

16

161616

from both sides of the equation

9

Simplify

10

Add

4

4q4q4q

to both sides of the equation

11

Simplify

12

Divide both sides of the equation by the same term

13

Simplify

Show less

Solution

=1

Step-by-step explanation:

Answer:

q=1

Step 1: Simplify both sides of the equation.

Step 2: Add 1/3q to both sides.

Step 3: Subtract 4/3 from both sides.

Step 4: Multiply both sides by 3/(-5).

9514 1404 393

Answer:

Step-by-step explanation:

Frank's monthly payment will be $690.25.

The total of all payments will be $690.25 × 360 = $248,490.00.

The interest Frank will pay is $248,490 -125,000 = $123,490.00.

The difference between Frank's rent and his loan payment is ...

   $700 -690.25 = $9.75

9514 1404 393

Answer:

  C  10x = 150

Step-by-step explanation:

The marked angles are vertical angles, so are congruent. The appropriate equation is the one that shows they are equal to each other:

  10x = 150

Answer:

9

Step-by-step explanation:

We're using the Pythagorean theorem here since it's a right triangle.

a^2 (side) + b^2 (side) = c^2 (hypotenuse)

12 = a

x = b

15 = c

12^2 + b^2 = 15^2

144 + b^2 = 225

- 144             - 144 (subtracting 144 from both sides to isolate b)

b^2 = 81

[tex]\sqrt{b^2} = \sqrt{81}[/tex] (getting rid of the exponent by squaring both sides)

b = 9

x = 9

Answer:

4 1/12

Step-by-step explanation:

make all the denominators 12 so u can add them easier

2 1/12 + 2 4/12 + 3 2/12 = 7 7/12

nn subtract from the 11 2/3

11 8/12 - 7 7/12 = 4 1/12

Answer:

14+p= sister's current age

Step-by-step explanation:

If you are 14 years younger, then you add 14 to your current age to find her current age.

Answer:

26.99

Step-by-step explanation:

Answer:

x=48

Step-by-step explanation:

They are vertical angles.

Answer:

x = (a-4)/c

Step-by-step explanation:

1) Multiply 6 for a and -cx

6a - 6cx = 24

2) Add -6a at the two members

-6cx + 6a -6a = 24-6a

-6cx = 24 -6a

3) Multiply the two members by -1

6cx = 6a - 24

4) divide the two members by 6c (assuming that its values is not 0)

x = (6a-24)/6c

5) simplify the second member

x = [6(a-4)]/6c

x = (a-4)/c

Answer:

65

Step-by-step explanation:

the sum of interior angles in a triangle equal to 180°

so 45+70=115

180-115=65

Answer:

6.8

Step-by-step explanation:

4.3+2.5=6.8

6.8-4.3=2.5

Answer:

6.8 is x value to be put

Answer:

[tex]V=20.52\ in^3[/tex]

Step-by-step explanation:

Given that,

The radius and the height of the cylindrical soup can are 1.1 inch and 5.4 inch.

We need to find the volume of the can.

The formula for the volume of the can is given by :

[tex]V=\pi r^2 h\\\\V=\pi \times (1.1)^2 \times 5.4\\\\V=20.52\ in^3[/tex]

So, the volume of the can is equal to [tex]20.52\ in^3[/tex].

An equation is formed of two equal expressions. The constant of proportionality between the number of cups of coffee and the total bill amount is 2.50.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given that a cup of coffee cost $2.50. Now, if the total cost of coffees is $22.50, then the number of cups of coffee that was purchased is,

Number of cups of coffee = Total bill amount / Cost of a coffee

Number of cups of coffee = $22.50 / $2..50

Number of cups of coffee = 9

A.) An equation for the total bill amount, y and total number of cups of coffee, x can be written as,

Total bill amount = Cost of a coffee × Number of cups of coffee

y = 2.50 × x

y = 2.50x

B.) The constant of proportionality between the number of cups of coffee and the total bill amount is 2.50.

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