Simplify the expression: z2 – z(z + 3) + 3z a. 2z2 + 6z b. z + 3 c. 6z d. 0

The measures of 13 of the 14 angles of a 14−gon add up to 2,016°. What must the fourteenth angle measure be?

Ainat [17]

Answer:

$x = 155 \frac{1}{13}$ or 155 1/3 degrees. If you want a decimal, 155.076923 degrees.

Step-by-step explanation:

2,016 is the sum of 13 identical numbers. Let's say the unknown number is $x$ . We'll now write an equation to solve it.

$13x = 2016$

Divide both sides by 13.

$x = \frac{2016}{13}$

Now, I went ahead and solved this and ended up with a repeating decimal. But for your sake we'll just make it a nice mixed number.

13 goes into 2016 155 times.

Here, I'll check for you.

$13 * 155 = 2015$

So, if we were to turn this into a mixed number, we'd get something like this.

$x = 155 \frac{1}{13}$

That should be your fourteenth angle measure.

7 0

3 years ago

I need to find 5.29 divided by 6<br> Then 3.59 devided by 6<br> The. 4.79 divided by 6 thx

Naddika [18.5K]

5.29/6 is 0.8816666666666666666666
3.59/6 is 0.5983333333333333333333
4.79/6 is 0.7983333333333333333333

7 0

3 years ago

PLEASE HELP ASAP!!! I NEED CORRECT ANSWERS ONLY PLEASE!!!

Elenna [48]

Answer:

$cos(V)=\frac{39}{89}=.44$

∠ $V=64.01$ °

Step-by-step explanation:

$sin(angle)=\frac{opposite}{hypotenuse}$

$cos(angle)=\frac{adjacent}{hypotenuse}$

$tan(angle)=\frac{opposite}{adjacent}$

The cosine of an angle is equal to the side adjacent to the angle over the hypotenuse, the longest side.

With this in mind:

$cos(V)=\frac{39}{hypotenuse}$

We need to find the hypotenuse of this triangle. This is relativly easy to do with a right triangle; we can just use the Pythagorean Theorem.
Pythagorean Theorem: $a^2+b^2=c^2$ where $a$ , $b$ , and $c$ are the 3 different sides of a right triangle.

$a^2+b^2=c^2\\(39)^2+(80)^2=c^2\\1521+6400=c^2\\c=\sqrt{7921} \\c=89$

Our hypotenuse is $89$ . Now we can finish solving for ∠ $V$ .

$cos(V)=\frac{39}{89}\\V=cos^-^1(\frac{39}{89})\\$

∠ $V=64.01$ °

3 0

4 years ago

Dwight is making accessories for the soccer team. He uses 648.62 inches of fabric on headbands for 39 players and 2 coaches. He

krek1111 [17]

Answer:

24.33 inches

Step-by-step explanation:

inches of fabric on headbands = 648.62 inches

39 players and 2 couches = 41 people

Inches of fabrics per person = Total headbands inches / number of people

= 648.62 inches / 41

= 15.82 inches per person

Inches of fabrics used for headbands per person = 15.82 inches

inches of fabric on wristbands = 331.89 inches

Used for players alone

Inches of fabrics for wristband pee person = Total inches of fabrics for wristband / number of people

= 331.89 inches / 39 players

= 8.51 inches

Inches of fabrics used for wristband per person = 15.82 inches

How much fabric was used on a headband and wristband for each player?

= Inches of fabrics used for headbands per person + Inches of fabrics used for wristband per person

= 15.82 inches + 8.51 inches

= 24.33 inches

Inches of fabrics used on headband and wristband for each player is 24.33 inches

3 0

3 years ago

What is a net in a mathematical equation

kodGreya [7K]

Answer:

Net is a two-dimensional pattern of a three-dimensional figure that can be folded to form the figure. In other words, net is a flattened three-dimensional figure which can be turned into the solid by folding it.

5 0

4 years ago