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3 years ago

5

A convex polyhedron is made of 12 congruent faces like the one shown below. What is the name of the solid? A) dodecahedron ANSWE

R: A B) icosahedron C) pentagonal pyramid D) pentagonal prism

1 answer:

Anvisha [2.4K]3 years ago

6 0

Answer: dodecahedron

Step-by-step explanation:

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9(5x + 1) ÷ 3y

Ivan

Some definitions:

Sum - the result of adding values together

Term - a single number or variable (includes variables multiplied by numbers)

Factor - a number or variable that divides another number or expression evenly

Quotient - the result of dividing values by one another

Coefficient - a numerical or constant value often in front of a variable

In your equation:

Sum - (5x + 1)

5x and 1 are being added together, although we do not know the sum exactly, we know that the sum is equal to the value of 5 times x plus 1.

Term - (5x, 1, 3y)

All terms given above are applicable.

Factor - (9)

9 has been taken out of the expression that it is now being multiplied, which shows that it was factored out of that expression

Quotient - (9(5x + 1) / 3y)

The value of 9(5x + 1) is being divided by 3y. Though we do not know the quotient exactly, we know that the quotient is equal to the values given.

Coefficient - (5, 3)

Both 5 and 3 are numbers in front of variables.

Hope this helps!! :)

3 0

3 years ago

PLEASE HELP!!! Find the equation , in the standard form of the line passing through the points (3,-4) and (5,1)

ExtremeBDS [4]

$\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&&(~ 3 &,& -4~) 
% (c,d)
&&(~ 5 &,& 1~)
\end{array}
\\\\\\
% slope = m
slope = m\implies 
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{1-(-4)}{5-3}\implies \cfrac{1+4}{5-3}\implies \cfrac{5}{2}
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-4)=\cfrac{5}{2}(x-3)\implies y+4=\cfrac{5}{2}x-\cfrac{15}{2}$

$\bf y=\cfrac{5}{2}x-\cfrac{15}{2}-4\implies y=\cfrac{5}{2}x-\cfrac{23}{2}\impliedby 
\begin{array}{llll}
\textit{now let's multiply both}\\
\textit{sides by }\stackrel{LCD}{2}
\end{array}
\\\\\\
2(y)=2\left( \cfrac{5}{2}x-\cfrac{23}{2} \right)\implies 2y=5x-23\implies \stackrel{standard~form}{-5x+2y=-23}
\\\\\\
\textit{and if we multiply both sides by -1}\qquad 5x-2y=23$

side note: multiplying by the LCD of both sides is just to get rid of the denominators

5 0

3 years ago

Zach wants to build a slanted skateboard ramp. He knows he wants the ramp to form a 15 degrees angle with the ground and be 4 fe

Fynjy0 [20]

Answer: The ramp would be 15.5 feet long.

Step-by-step explanation: Please refer to the attached diagram for details.

Angle C shows the angle to be formed by the ramp from the ground, which is 15 degrees. Also, from the ground, it’s going to be four feet tall, which is line AB. The top of the ramp is point A, which makes line AC the entire length of the ramp. Since we have a reference angle (angle C) and two sides, the opposite and the hypotenuse, we shall apply the trigonometric ratio.

SinC = opposite/hypotenuse

Sin 15 = 4/b

By cross multiplication we now have

b = 4/Sin15

b = 4/0.2588

b = 15.4599

Approximately b = 15.5

Therefore the length of the ramp would be 15.5 feet

6 0

3 years ago

How many characterizes are in the anime movies?<br>

Kamila [148]

I would say about 1100

8 0

3 years ago

Help please!!!!..............

Irina18 [472]

Answer:

hi so i think its a

Step-by-step explanation:

4 0

3 years ago

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