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2 years ago

Rotational symmetries for a trapezoid

Mathematics

1 answer:

dezoksy [38]2 years ago

8 0

Answer:

A trapezoid has no axes of reflectional symmetry. A trapezoid has no rotational symmetry (Order 1). Note: Having no rotational symmetry means that the figure must be rotated a full 360º to again appear in it original position.

Step-by-step explanation:

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What is the quotient of 5 7 ÷ 5 14 ?

KatRina [158]

Answer:

<h2>= 57 / 514 (Decimal: 0.110895)</h2>

Step-by-step explanation:

57 / 514

= 57 / 514

(Decimal: 0.110895)

<h2>And if that is not what you are looking for here: </h2><h2></h2>

Rewrite the equation as

x /14 = 5/ 7 . x/ 14 = 5/ 7

Multiply both sides of the equation by

14.14 ⋅ x /14 = 14 ⋅ 5 /7

Simplify both sides of the equation.

Tap for fewer steps...

Cancel the common factor of 14 .

Cancel the common factor.

14 ⋅ x /14 = 14 ⋅ 5 /7

Rewrite the expression.

x = 14 ⋅ 5 /7

Simplify 14 ⋅ 5/ 7 .

Cancel the common factor of 7 .

Factor 7 out of 14 .

x = 7 ( 2 ) ⋅ 5/ 7

Cancel the common factor.

x = 7 ⋅ 2 ⋅ 5/ 7

Rewrite the expression.

x = 2 ⋅ 5

Multiply 2 by 5 .

x = 10

3 0

2 years ago

One-third of a number is 1 more than one-fourth of the same number. What is the number?

konstantin123 [22]

Answer:

Step-by-step explanation:

1/3 of 12 = 4

1/4 of 12 = 3

4 is 1 more than 3.

The number is 12.

_____

If this does not immediately come to mind, you can solve for the number, x:

x/3 -x/4 = 1 . . . . the difference between 1/3 of x and 1/4 of x is 1

x/12 = 1 . . . . . . . collect terms: (1/3 -1/4 = 4/12 -3/12 = 1/12)

x = 12 . . . . . . . . multiply by 12

7 0

3 years ago

What is 30,000 expressed in scientific notation?

OlgaM077 [116]

The answer is b. It is the only choice that equals the right answer. You could also write this as 3 * 10^4, which is equivalent to b.

6 0

3 years ago

Read 2 more answers

Kyle works at a donut factory, where a 10-oz cup of coffee costs 95¢, a 14-oz cup costs $1.15, and a 20-oz cup costs $1.5

Fynjy0 [20]

Answer:

Kyle filled 4 10-oz cups, 6 14-oz cups, and 4 20-oz cups.

Step-by-step explanation:

Let 10-oz, 14-oz, and 20-oz coffees be represented by the variables a, b, and c, respectively.

Since a total of 14 cups of coffee was served:

$a+b+c=14$

A total of 204 ounces of coffee was served. Therefore:

$10a+14b+20c=204$

A total of $16.70 was collected. Hence:

$0.95a+1.15b+1.5c=16.7$

This yields a triple system of equations. In order to solve a triple system, we should isolate the system to only two variables first.

From the first equation, let's subtract a and b from both sides:

$c=14-a-b$

Substitute this into both the second and third equations:

$10a+14b+20(14-a-b)=204$

And:

$0.95a+1.15b+1.5(14-a-b)=16.7$

In this way, we've successfully created a system of two equations, which can be more easily solved. Distribute:

For the Second Equation:

$\displaystyle \begin{aligned} 10a+14b+280-20a-20b&=204\\ -10a-6b&=-76\\5a+3b&=38\end{aligned}$

And for the Third:

$\displaystyle \begin{aligned} 0.95a+1.15b+21-1.5a-1.5b&=16.7\\ -0.55a-0.35b&=-4.3\end{aligned}$

We can solve this using substitution. From the second equation, isolate a:

$\displaystyle a=\frac{1}{5}(38-3b)=7.6-0.6b$

Substitute into the third:

$-0.55(7.6-0.6b)-0.35b=-4.3$

Distribute and simplify:

$-4.18+0.33b-0.35b=-4.3$

Therefore:

$-0.02b=-0.12\Rightarrow b=6$

Using the equation for a:

$a=7.6-0.6(6)=4$

And using the equation for c:

$c=14-(4)-(6)=14-10=4$

Therefore, Kyle filled 4 10-oz cups, 6 14-oz cups, and 4 20-oz cups.

7 0

2 years ago

Somebody please assist me in answering this math question.

Sphinxa [80]

Firstly look at the options carefully and we will get to know that two answer options are incorrect because 2 of them are representing AT MOST SIGN which we don't need. So in that way Options B and D are eliminated.

So Now we are left with 2 options A and C. Lets figure it out.
We know that Carlos has 5 complete set with 4 individual figures and josh has 3 complete sets with 14 individual figures.
So lets write in the numerical language:-
let us assume that complete sets are X.
ATQ,
5x + 4 ≥ 3x + 14
subtracting 3x from both sides.
5x -3x + 4 ≥ 14
2x + 4 ≥ 14
subtracting 4 from both sides
2x ≥ 14 - 4
2x ≥ 10
dividing both sides by 2
x ≥ 5 Answer
So correct answer option is C

7 0

3 years ago