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dangina [55]
3 years ago
7

Can someone help me with this equation?

Mathematics
1 answer:
Tems11 [23]3 years ago
7 0
PEMDAS
P-arenthses
E-xponits
M-ulitply
D-ivide
A-ddition
S-ubtraction

12×13(67÷11)-14+9
12×13(6.09)-14+9
156(6.09)-14+9
900.04-14+9
900.04-5
=895.04
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Please help me with this
Len [333]

Answer:

60 degrees

Step-by-step explanation:

To first solve this problem, we need to figure out the size of an interior angle for a regular hexagon.

This can be done with the formula :

angle = \frac{(n-2)*180}{n} , with n being the number of sides

A hexagon has 6 sides so here is how we would solve for the interior angle:

\frac{(6-2)*180}{6}=120 , with n= 6 sides

Now that we know that each interior angle in the hexagon is 120 degrees, we can now turn our attention to the rhombus.

The opposite angles of the rhombus are congruent, so the two larger obtuse angles are congruent, and so are the two smaller acute angles.

It is also important to note that a rhombus is a quadrilateral, so all of its interior angles add up to 360 degrees.

Looking at the rhombus, we already know one of the angles because it is shared by the interior angle of the hexagon, so the two larger angles in the rhombus are both 120 degrees.

But what about the smaller angles? All we need to do is subtract the two larger angles form 360 and divide by 2 to find the angle.

\frac{360-2(120)}{2} = 60 , so the smaller angle in the rhombus is 60 degrees.

Now that we know both the interior angle and smaller angle of the rhombus, we can find x.

Together, angle x and the angle adjacent to it makes up an interior angle of the hexagon, so x plus that angle is going to equal to 120 degrees.

All we need to do is solve for x:

x+60=120

x=120-60

x = 60 degrees

3 0
2 years ago
What is the sum of two consecutive even integers divided by four is 189.5?
mixas84 [53]
Let us denote the smaller even integer by N.
Then, the next even integer must be N+2.

To verify, set N as any even number, say 174.
Then, the next even integer must be 2 more than this number, i.e. 174+2=176.

The sum of these two consecutive even integers can be expressed as:
                                    N+(N+2)=2N+2

We are told that this sum divided by four is 189.5, i.e.
                                     (2N+2)\div4=189.5

Multiplying both sides by 4 will reverse the division:
     (2N+2)\div4\times4=189.5\times4
     (2N+2)\times1=758

Subtracting 2 from each side will reverse the addition:
     2N+2-2=758-2
     2N=756

Dividing both sides by 2 will reverse the multiplication:
     2N\div2=756\div2
     N=378

Therefore, the two consecutive integers must be 378 and 380.

Check this:
     (378+380)\div4=758\div4=189.5
3 0
3 years ago
EXERCISE 1.2
natta225 [31]

sorry di pa namin yan napapag aralan..

4 0
3 years ago
Read 2 more answers
HELP!
Contact [7]

This is about changing subject of formula.

<u><em>1) Option D</em></u>

<u><em>2) Option B</em></u>

<u><em>3) Option C</em></u>

<u><em>4) Option C</em></u>

<u><em>5) Option B</em></u>

  • 1) \frac{2}{3}x = 10

To solve for x, we need to first multiply both sides by the inverse of the coefficient of x since it is a fraction.

This means we multiply both sides by \frac{3}{2}.

Option D is correct

  • 2) We are given the equation;

d = 27.2 - 9.8t

where;

d represents the number of miles she is from home

t represents the number of hours she rides

We are told that she is now 27.2 miles from home.

Since she rides at an average of 9.8 mph, then formula for time is;

t = distance/speed = 27.2/9.8

t = 2.7755

To the nearest hundredth gives;

t = 2.78 hours

Option B is correct

  • 3)  S = 145t + 85.

t represents months you have saved

This means that the coefficient of t is the amount you saved monthly = $145

And 85 is the amount you started with.

Option C is correct

  • 4) From question 3 above, S represents the total amount saved after t months.

Thus, if you have saved  $810 after t months, then;

145t + 85 = 810

145t = 810 - 85

145t = 725

t = 725/145

t = 5 months

Option C is correct

  • 5) first shirt costs $35 and subsequent ones cost $11.

If the number you can buy is x and max amount to spend is $250, then;

35 + 11x \leq 250

11x \leq 250 - 35

11x \leq 215

x \leq 215/11

x \leq 19.55

There is no decimal shirt and so we pick 19 shirts which is option B

Read more here; brainly.com/question/24657829

3 0
2 years ago
What is 1 1/2 into a whole number
drek231 [11]
It can't be a whole number. It can be 1.5, or 1 1/2.
4 0
2 years ago
Read 2 more answers
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