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3 years ago

What is the area of the parallelogram represented by the vertices A(-6, -1), B(-2, -1), C(-1,-4) and D(-5, -4)?

Mathematics

2 answers:

posledela3 years ago

6 0

$\huge\underline\blue{✏ANSWER}$

(no answer found.)

(maybe can found on other apps?)

#BrainliestBunch

Vera_Pavlovna [14]3 years ago

6 0

Answer:

Step-by-step explanation:

1) Vector AB (-2-(-6); -1-(-1))= (4; 0). Vector module is module AB=sqrt (4*4+0*0)= 4

2) The module of Vector BC is sqrt((-1-(-2))*(-1 - (-2))+ (-4-(-1))* (-4-(-1))= sqrt (9+1)= sqrt 10.

3) The module of AC is sqrt ((-1-(-6))*(-1-(-6))+ (-4-(-1))*(-4-(-1))= sqrt (25+9)= sqrt 34.

4) Having the triangle with the sides AB, BC, AC use the theorem of cos:

sqrt34*sqrt34= sqrt 10*sqrt 10 + 4*4- 2*sqrt10*4*cosB

34-10-16= -8 sqrt 10*cosB

c0sB= (-1)/ sqrt10

5) Find out sinB that is equal to Sqrt (1- ((-1)/sqrt 10)* ((-1)/sqrt10))= sqrt (9/10)= 3/sqrt10.

6)S= 4*sqrt10*3/sqrt10= 4*3=12. The area is equal to 12.

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3 years ago

Suppose a researcher is interested in determining if there is a relationship between low birth weight and pediatric pneumonia. I

MissTica

Answer:

He will need 4 newborns in the sample to be 95% confident.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.9}{2} = 0.05$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.05 = 0.95$ , so $z = 1.645$

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He will need 4 newborns in the sample to be 95% confident.

7 0

3 years ago

Dont know where to start any help please solve for u 8=u/12.8

kherson [118]

8 × 12,8 = u
102,4 = u

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4 years ago

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-22 = 6x + 4 Hehehhe I need help agaaaaiiin

UkoKoshka [18]

Hey there!

$Answer:\boxed{x=\frac{-13}{3}}$

$Explanation:$

$-22=6x+4$

Let's start off with flipping the equation.

$6x+4=-22$

Now we need to subtract 4 from both sides of the equation.

$6x+4-4=-22-4\\6x=-26$

Now in our third/last step, we will divide both sides by 6.

$\frac{6x}{6}=\frac{-26}{6}$

$x=\frac{-13}{3}$

$\boxed{x=\frac{-13}{3}}\text{ is the answer.}$

Hope this helps!

$\text{-TestedHyperr}$

3 0

3 years ago