Express (x−4)^2 as a trinomial in standard form.

Which could be the area of one face of the rectangular prism? Select three options.

antiseptic1488 [7]

Answer:

44cm^2

Step-by-step explanation:

We work with area for rectangles using the face of the longer length first as this is the awkward length the perpendicular side to the easy calculation of the square and sits perpendicular to the square.

We choose the longer length and plug in and choose one of the two calculation answers.

11 x 4 = 44

11 x 6 = 66

We see the answer is 44cm^2, so we choose this one.

8 0

3 years ago

A pilot flies on a bearing of 160° for 30 miles. The pilot then executes a quick turn and flies another 15 miles at a bearing of

vivado [14]

Answer: 34.65 miles at an angle of 325.39°

Step-by-step explanation:

Ok, the initial position is (0,0)

Then she flies 30 miles at an angle of 160°, if we count the angle counterclokwise from the x-axis, the new position will be:

p = (30*cos(120°), 30*sin(120°))

Then she travels another 15 miles at an angle of 205°, the new position is:

p = (30*cos(120°) + 15*cos(205°), 30*sin(120°) + 15*sin(205°))

p = (-28.59 , 19.64)

If she now travles X miles at an angle Y, we must have that the final position is the point (0,0)

this means that:

X*cos(Y) = -(-28.59) = 28.59

X*sin(Y) = -19.64

Now, we can find the quotient between those two equations and use that tan(x) = sin(x)/cos(x)

X*(sin(Y))/(X*cos(Y)) = -19.64/28.59

Tg(Y) = -0.69

Y = ATg(-0.69) = -34.61°

If we use only positive angles, this angle is equivalent to:

360° - 34.61° = 325.39°

now lets find the distance:

Xcos(325.39°) = 28.59

X = 28.59/cos(325.39°) = 34.65 miles.

4 0

3 years ago

A survey is taken among customers of a fast-food restaurant to determine preference for hamburger or chicken. Of 200 respondents

kicyunya [14]

Answer:

Hamburger Chicken

Adults 65 60 125

children 55 20 75

120 80 200

a)What is the probability that a randomly selected individual is an adult?

Total no. of adults = 125

Total no. of people 200

The probability that a randomly selected individual is an adult = $\frac{125}{200}=0.625$

b) What is the probability that a randomly selected individual is a child and prefers chicken?

No. of child prefers chicken = 20

The probability that a randomly selected individual is a child and prefers chicken= $\frac{20}{200}=0.1$

c)Given the person is a child, what is the probability that this child prefers a hamburger?

No. of children prefer hamburger = 55

No. of child = 75

The probability that this child prefers a hamburger= $\frac{35}{75}=0.46$

d) Assume we know that a person has ordered chicken, what is the probability that this individual is an adult?

No. of adults prefer chicken = 60

No. of total people like chicken = 80

A person has ordered chicken, the probability that this individual is an adult= $\frac{60}{80}=0.75$

3 0

3 years ago

HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Tatiana [17]

First you are going to look at the smallest box and figure out what the area is once you do that you will need to find the area of the bigger box once you figure out both of the areas you will then find out what they are you will then add up the amounts to get the area of both squares together

6 0

3 years ago

How many kilograms are in 30 pounds

Ghella [55]

30 pound in kilograms are 13.61 kilograms

6 0

3 years ago

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