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4 years ago

Find the original height of the tree, explain

Mathematics

1 answer:

Yuliya22 [10]4 years ago

7 0

Step-by-step explanation:

AC²=AB²+BC²

=(7)²+(13)²

=49+169= 218

AC=√218

= 14.7ft

therefore the original height of the tree

=7+14.7

=21.7ft

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Please help asap<br><br> solve x^4+5x^2+4=0

const2013 [10]

Answer:

$x=\pm i\text{ or }x=\pm2i$

Step-by-step explanation:

So we have the equation:

$x^4+5x^2+4=0$

Let's let u be equal to x². So:

$u^2+5u+4=0$

Factor:

$(u+1)(u+4)=0$

Zero Product Property:

$u+1=0\text{ or } u+4=0$

Subtract:

$u=-1\text{ or }u=-4$

Replace:

$x^2=-1\text{ or }x^2=-4$

Take square root:

$x=\pm\sqrt{-1}\text{ or }x=\pm\sqrt{-4$

Simplify:

$x=\pm i\text{ or }x=\pm2i$

7 0

3 years ago

Express the polynomial as a product of linear factors.

Bas_tet [7]

Answer:

D. 3(x - 1)(x+3)(x + 2).

Step-by-step explanation:

3(x - 1)(x + 3)(x + 2)

= 3(x - 1)(x^2 + 5x + 6)

= 3(x^3 + 5x^2 + 6x - x^2 - 5x - 6)

= 3(x^3 + 4x^2 + x - 6)

= 3x^3 + 12x^2 + 3x - 18.

5 0

4 years ago

Find x pls help me this is due soon

seraphim [82]

Answer:

x=35

hope it helps..........

8 0

3 years ago

Dale travels from city A to city B to city C and back to city A. Each city is exactly 120 miles from the other two. His average

Ivahew [28]

Answer:

$average\ speed = 36\ mi/hr$

Step-by-step explanation:

Given:

Each city is exactly 120 miles from the other two.

Average rate from city A to city B = 60 mi/hr

Average rate from city B to city C = 40 mi/hr

Average rate from city c to city A = 24 mi/hr

We need to find the Dale's average rate for the entire trip.

Solution:

First we find the total time and total distance by following way.

Time taken to travel from A to B = $\frac{Distance}{Speed} = \frac{120}{60}= 2\ hr$

Time taken to travel from B to C = $\frac{Distance}{Speed} = \frac{120}{40}= 3\ hr$

Time taken to travel from C to A = $\frac{Distance}{Speed} = \frac{120}{24}= 5\ hr$

So, total time taken = $2+3+5=10\ hr$

Total distance = 120 + 120 + 120 = 360 miles

Using average speed formula.

$average\ speed = \frac{Total\ distance}{Total\ time\ taken}$

$average\ speed = \frac{360}{10}$

$average\ speed = 36\ mi/hr$

Therefore, the average rate for the entire trip $average\ speed = 36\ mi/hr$

8 0

3 years ago

Assume the sample variances to be continuous measurements. Find the probability that a random sample of 36 observations, from a

frez [133]

Answer:

0.02566

0.972559

Step-by-step explanation:

Given that :

Sample size (n) = 36

σ² = 6

sample variance S^2

a) greater than 9.1;

b) between 3.5 and 10.5.

The degree do freedom (df) = n - 1

S² > 9.1

P(S² > 9.1) = X² > ((n - 1) * S²) / 6

P(S² > 9.1) = ((36 - 1) * 9.1) / 6

P(S² > 9.1) = (35 * 9.1) / 6

P(S² > 9.1) = 53.083

P(X² > 53.08) = 0.02566 ( chi square distribution calculator)

b) between 3.5 and 10.5.

((36 - 1) * 3.5) / 6 ≤ S² ≤ ((36 - 1) * 10.5) / 6

20.416666 ≤ S² ≤ 61.25

Using the Chisquare distribution calculator :

P(X² > 20.42) = 0.9765

P(X² > 61.25) = 0.003941

Hence,

0.9765 - 0.003941 = 0.972559

7 0

3 years ago