Find the area of the polygon. A = __ft squared

Mathematics

1 answer:

Nataliya [291]2 years ago

8 0

Answer:

28.5^2

Step-by-step explanation:

The formula is, b(base)+c(height)= b+c over 2. b+c/2.

B=19ft in this problem.

C=38ft

Knowing this, we can further simplify.

19+38/2

Now, we add 19 and 38.

(57)

57/2= 28.5

So, the anwser is 28.5^2

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Find parametric equations for the line through point P(-4,5,2) in the direction of the vector (-6,6,-5)

tigry1 [53]

The vector v (-6, 6, -5) points in the direction of itself, so we start there.

We can capture all points on the line through the origin and the point (-6, 6, -5) by scaling v by an arbitrary real number t.

The line through point P and pointing in the same direction as v is parallel to the other line that passes through the origin. Then the line we want can be obtained by translating the line through the origin by a vector p that points to (-4, 5, 2), so the vector equation for this line is

r (t ) = p + t v

r (t ) = (-4, 5, 2) + t (-6, 6, -5)

r (t ) = (-4 - 6t, 5 + 6t, 2 - 5t )

To get the parametric equations, simply take out the components:

x (t ) = -4 - 6t

y (t ) = 5 + 6t

z (t ) = 2 - 5t

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3 years ago

Evaluate the expression. 38 +16 - 12 - 2 - (302) Enter your answer in the box.

masha68 [24]

Answer:

-262

Step-by-step explanation:

Evaluate Subtraction & Addition from right to left [or left to right, as long as you know what you are doing]:

38 + 16 - 12 - 2 - 302

|_______||____________|

$44 - 316 = -262$

I am joyous to assist you anytime.

5 0

3 years ago

A researcher wants to estimate the percentage of all adults that have used the Internet to seek pre-purchase information in the

Lubov Fominskaja [6]

Answer:

The required sample size for the new study is 801.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.