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Sonbull [250]
3 years ago
14

How did Bill spend longer

Mathematics
1 answer:
JulsSmile [24]3 years ago
7 0
How did bill spend longer .. days ... ? what
You might be interested in
What is the area of the object above?
valina [46]
Your answer is 104 square inches because you have to find the area of the top rectangle by multiplying 12 x 7, then find the area of the bottom square by multiplying 5 x 4, and then add both answers together which equals 104 square centimeters ;)
7 0
3 years ago
The leaning tower of Pisa currently "leans" at a 4 degree angle and has a vertical height of 55.86 meters. How tall was the lean
Marizza181 [45]

Answer:

56 meters.

Step-by-step explanation:

Please find the attachment.

Let the leaning tower's be h meters tall, when it was originally built.

We can see from our attachment that the side with length 55.86 meters is hypotenuse and h is adjacent side for 4 degree angle.

Since we know that cosine relates the adjacent and hypotenuse of a right triangle.

\text{Cos}=\frac{\text{Adjacent}}{\text{Hypotenuse}}

Upon substituting our given values we will get,

\text{Cos (4)}=\frac{55.86}{h}

h=\frac{55.86}{\text{Cos (4)}}

h=\frac{55.86}{0.99756405026}

h=55.996\approx 56                      

Therefore, the leaning tower was approximately 56 meters, when it was originally built.

6 0
3 years ago
Describe how both the Rational Root Theorem and Descartes’ Rules of Signs help you to find the zeros of a polynomial? Give me an
MrRa [10]

Answer:

Step-by-step explanation:

Rational Root Theorem: If the polynomial

P(x) = a n x n + a n – 1 x n – 1 + ... + a 2 x 2 + a 1 x + a 0

has any rational roots, then they must be of the form of (factors of a0/factors of an).

Example: F(x) = 4x² + 5x +2

If this polynomial has any rational roots, then they must be (factors of 2)/(factors of 4), so (±1, ±2)/(±1, ±2, ±4). So if this polynomial has any rational roots, they must be either: ±1, ±1/2, ±1/4, or ±2. Notice that this polynomial doesn't have to have any rational roots, but if it does, then the roots must fit the Rational Root Theorem.

Descartes' Rules of Signs:

a). In a polynomial, how many time the sign changes is how many positive roots the polynomial will have.

Example: 5x³ + 6x² - 2x - 1

In this expression, the sign only changed once, between 6x² and 2x, so it will only have one positive root.

Example 2: 6x³ - 4x² + x - 6

In this expression, the sign changed 3 times (remember there is a invisible "+" sign before the 6x³), so it will have 3 positive roots.

b). In a polynomial, if you plug in "-x" for all "x", then how many times the new polynomial changes sign is how many negative roots the old polynomial have.

Example: 5x³ + 6x² - 2x - 1.

If we plug in "-x" for all "x", then we get 5(-x)³ + 6(-x)² - 2(-x) -1, which simplifies to -5x³ + 6x² + 2x -1. In this new expression, the sign changed twice, so we have two negative roots for the expression. Notice how we got one positive root the first time and two negative roots the second time, and 1 + 2 = 3. The Fundamental Theorem of Algebra states that for a nth degree polynomial, it will have n complex roots. The polynomial we worked with was a 3rd degree polynomial, and we got 1 + 2 = 3 roots in the end.

4 0
3 years ago
Please help. I know it’s not the hardest, but I think I did something wrong when I solved it. Please include your work. Tysm! Pl
Alex73 [517]

1 Multiply both sides by

n

−

3.2

n−3.2.

n

+

0.3

=

9

2

(

n

−

3.2

)

n+0.3=

2

9

​

(n−3.2)

2 Simplify

9

2

(

n

−

3.2

)

2

9

​

(n−3.2) to

9

(

n

−

3.2

)

2

2

9(n−3.2)

​

.

n

+

0.3

=

9

(

n

−

3.2

)

2

n+0.3=

2

9(n−3.2)

​

3 Multiply both sides by

2

2.

2

n

+

0.6

=

9

(

n

−

3.2

)

2n+0.6=9(n−3.2)

4 Expand.

2

n

+

0.6

=

9

n

−

28.8

2n+0.6=9n−28.8

5 Subtract

2

n

2n from both sides.

0.6

=

9

n

−

28.8

−

2

n

0.6=9n−28.8−2n

6 Simplify

9

n

−

28.8

−

2

n

9n−28.8−2n to

7

n

−

28.8

7n−28.8.

0.6

=

7

n

−

28.8

0.6=7n−28.8

7 Add

28.8

28.8 to both sides.

0.6

+

28.8

=

7

n

0.6+28.8=7n

8 Simplify

0.6

+

28.8

0.6+28.8 to

29.4

29.4.

29.4

=

7

n

29.4=7n

9 Divide both sides by

7

7.

29.4

7

=

n

7

29.4

​

=n

10 Simplify

29.4

7

7

29.4

​

to

4.2

4.2.

4.2

=

n

4.2=n

11 Switch sides.

n

=

4.2

n=4.2

4 0
2 years ago
Read 2 more answers
Please answer correctly !!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!
bija089 [108]

Answer:

14

Step-by-step explanation:

(9x + 10)° = 136°

9x + 10 = 136

9x = 126

x = 14

5 0
2 years ago
Read 2 more answers
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