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yarga [219]
3 years ago
15

What is the sum of the interior angles of the pentagon

Mathematics
1 answer:
musickatia [10]3 years ago
8 0
<h3>The sum of the interior angles of a pentagon are always equal to 540 degrees.</h3><h3 />
You might be interested in
ANSWER ASAP ILL MARK BRAINLIEST!!!!
Korolek [52]

Answer:

2 {x}^{2}  - 6x - 1 = 0 \\ a = 2 \:  \:  \:  b =  - 6 \:  \:  \: c =  - 1 \\  \\ x =  \frac{6\binom{ + }{ - } \ \sqrt{  {6}^{2} - 4(2)( - 1)}   }{2 \times 2}  \\  \\ x =  \frac{6 \binom{ + }{ - } \sqrt{44}  }{4}  \\  x =  \frac{6 +  \sqrt{44} }{4} \\  \\  or x =  \frac{6 -  \sqrt{44} }{4}

I hope that is useful for you :)

8 0
3 years ago
Mel opened a savings account in April with an initial deposit of $250. Each month after April, Mel deposited an additional $60.
White raven [17]

Answer:

(y - 310) = 60(x - 1)

$670

Step-by-step explanation:

Mel opened a savings account in April with an initial deposit of $250. Each month after April, Mel deposited an additional $60.

If we express Mel's total deposit (y, in dollars) after x months since the month of April, then the slope of the linear function m will be 60 and (1, 250 + 60) = (1,310) is a point on the line graph.

Now, in point-slope form of a straight line equation gives if the slope of a straight line is m and (h,k) is a point on the line, then its equation can be written as (y - k) = m(x - h).

Now, in our case, the equation of the expression for Mel's total deposit will be given by

(y - 310) = 60(x - 1) ......... (1) (Answer)

Now, at the month of November, the x value will be 7, then from equation (1), Mel's total deposits through the month of November will be  

y - 310 = 60(7 - 1)

⇒ y = 310 + 360 = $670 (Answer)

8 0
3 years ago
Mary has 96 muffins which she needs to box up, 5 of which are blueberry, into dozens. How many boxes dose he need
lesya692 [45]

Answer:

8

Step-by-step explanation:

Mary needs 8 boxes to put 96 muffins in dozens so 96÷12 gives you 8

8 0
3 years ago
Read 2 more answers
Paco needs at least 3/8 yard of twine to build a model ship. how much twine could he buy.
kolezko [41]

Answer:

Option: c is correct.

Step-by-step explanation:

We are given that paco needs at least 3/8 yard of twine to build a model ship.

that is we require twine of amount greater than 3/8 yards.

<em>now we need to check among the given options which quantity is greater than 3/8 yards.</em>

a)

3/10 yard.

As we know that for two rational numbers with the same numerator but with different denominator the number whose denominator is smaller is a greater quantity.

Hence 3/10 < 3/8

Hence option a is incorrect.

b)

1/4 yard

As to compare to rational numbers we have to either make the numerator equal or their denominator equal. Hence here we multiply and divide 1/4 by 2 to get 8 in the denominator.

\dfrac{1}{4}\times\dfrac{2}{2}=\dfrac{2}{8}

as 2/8 < 3/8

since the denominator is same and the number with the same denominator but with different numerator are compared as whose numerator is greater is a greater quantity.

Hence option b is incorrect.

c)

3/4 yard

Clearly both the numbers have the same numerator but different denominator and we know that for two rational numbers with the same numerator but with different denominator the number whose denominator is smaller is a greater quantity.

Hence 3/8 < 3/4

Hence, option c is correct.

d)

1/8 yard

clearly both the numbers have the same denominator and we know that for two rational numbers withe same denominator but with different numerator the number whose numerator is smaller is a smaller quantity.

Hence, 1/8 < 3/8

Hence, option d is incorrect.



7 0
4 years ago
Read 2 more answers
What is the value of the remainder if 10x^4 – 6x^3 + 5x^2 – x + 1 is divided by x – 3?
ludmilkaskok [199]

Answer: 691

<u>Step-by-step explanation:</u>

There are 3 different ways to find the remainder.  I am not sure which method you are supposed to use, so I will solve using all 3 methods.

Long Division:

       <u>  10x³ + 24x² + 77x + 230 </u>

x - 3 ) 10x⁴ -  6x³  + 5x²   - x  +  1

      - <u>(10x⁴ - 30x³) </u>   ↓       ↓      ↓

                   24x³ + 5x²     ↓      ↓

               - <u>(24x³ - 72x²) </u>   ↓      ↓

                              77x²  - x       ↓

                         -  <u>(77x² - 231x) </u>  ↓

                                        230x + 1

                                     - <u>(230x - 690)</u>

                                                    691 ← remainder

Synthetic Division:

x - 3 = 0   ⇒  x = 3

3  |  10     -6        5       -1        1

   |<u>   ↓      30     72    231    690</u>

      10      24     77    230   691 ← remainder

Remainder Theorem:

f(x) = 10x⁴ - 6x³ + 5x²  - x  +  1

f(3) = 10(3)⁴ - 6(3)³ + 5(3)² - (3)  +  1

     =  810   - 162    + 45    -  3  +  1

     = 691

7 0
4 years ago
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