Please help i’m struggling

PLEASE HELP

mihalych1998 [28]

Answer: The height is 4.472

Step-by-step explanation: That formula is Heron's formula.

Where "s" is calculated like this:

s = (a + b + c) / 2

In this case:

a = 14

b = 12

c = 6

replacing:

s = (14 + 12 + 6) / 2

s = 16

Now we calculate the area:

A ^ 2 = 16 * (16−14) * (16−12) * (16−6)

A ^ 2 = 1280

A = 35.777

The area of the triangle is:

A = b * h / 2

In this case we will take the base as the longest side of the triangle, that is to say = 14

Thus:

h = A * 2 / b

h = 35.777 * 2/16

h = 4.472

So the height is 4.472

8 0

2 years ago

Lines I and m are parallel. If angle a

aliina [53]

C. 145°

Explanation:

angles A and D are opposite adjacent.

6 0

3 years ago

Jamison graphs the function ƒ(x) = x4 − x3 − 19x2 − x − 20 and sees two zeros: −4 and 5. Since this is a polynomial of degree 4

Art [367]

We are given polynomial function f(x)= $x^4-x^3-19x^2-x-20$

We are given two zeros -4 and 5.

Therefore, x=-4 and x=5 is given.

So, the two factors of the polynomial will be (x+4)(x-5).

Let us write some steps to factor the given polynomial.

Let us take above factor (x+4) first.

On factoring (x+4) we get factors

$x^4-x^3-19x^2-x-20=\left(x+4\right)\left(x^3-5x^2+x-5\right)$

$\mathrm{:Let \ us \ factor}\:x^3-5x^2+x-5 \ now.$

Grouping

$=\left(x^3-5x^2\right)+\left(x-5\right)$

Factoring out gcf from each group, we get

$=x^2\left(x-5\right)+\left(x-5\right)$

$=\left(x-5\right)\left(x^2+1\right)$

So, the final factored form of given polynomial will be

$x^4-x^3-19x^2-x-20=\left(x+4\right)\left(x-5\right)\left(x^2+1\right)$

For first to factors (x+4) and (x-5) we have given roots: -4 and 5.

Let us find the root of third factor we got.

$x^2+1=0$

Subtracting both sides by 1.

x^2 = - 1.

On taking square root on both sides, we get a square root(-1)

$x=\sqrt{-1}=$ + i and -i.

Those are imaginary solutions.

Therefore, correct option is B) No, there are two imaginary solutions.

5 0

4 years ago

2a. According to a Pew Research survey, about 25% of American adults are pessimistic about the future of marriage and the family

drek231 [11]

Answer: 0.4181807

Step-by-step explanation:

Probability that American adults are pessimistic about the future of marriage and the family: p= 0.25

Sample size n= 20

Let $\hat{p}$ be the sample proportion of American adults that are pessimistic about the future of marriage and the family.

$P(\hat{p}\leq0.23)=P(\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}$

Hence, the required probability = 0.4181807

8 0

3 years ago

2x - 4 - 6(x + 1) = 5x + 6 a) 8 b) -8/9 c) 4 d) -16/9

andriy [413]

Step-by-step explanation:

2x - 4 - 6(x + 1) = 5x + 6

2x - 4 - 6x - 6 = 5x + 6

2x - 6x - 5x = 4 + 6 + 6

-9x =16

x= -16/9

Hope this helps.. Good luck!

3 0

3 years ago