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3 years ago

If x = 8 units, y = 4 units, and h = 3 units, then what is the area of the parallelogram shown above?

Mathematics

1 answer:

Stella [2.4K]3 years ago

6 0

The answer would just be 24 cause it’s just base • height so it would be x•h= 24

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X + 2y = 8<br> X + 3y = 12

Readme [11.4K]

Answer:

(0,4)

Step-by-step explanation:

Subtract the first equation from the second, obtaining y = 4. Then substitute 4 for y in the first equation, obtaining x + 2(4) = 8; it follows that x = 0.

The solution is (0,4).

7 0

3 years ago

Algebra find each unknown 6/12=x/2

bearhunter [10]

Answer:

x=1

Step-by-step explanation:

6/12 = x/2

Simplify the left side by dividing the top and bottom by 6

1/2 = x/2

Using cross products

2x =2

Divide by 2

2x/2 =2/2

x=1

5 0

3 years ago

The edge length of a cube is 17 cm. Identify the length of its diagonal. Round to the nearest tenth, if necessary. HELP PLEASE!!

lara31 [8.8K]

Answer:

29.4 cm

Step-by-step explanation:

The length of the space diagonal can be found to be the root of the squares of the three orthogonal edge lengths. For a cube, those edge lengths are all the same, so the diagonal length is ...

d = √(17^2 + 17^2 +17^2) = 17√3 ≈ 29.4 . . . . cm

_____

Consider a rectangular prism with edge lengths a, b, c. Then the face diagonal of the face perpendicular to edge "a" has length ...

(face diagonal)^2 = (b^2 +c^2)

and the space diagonal has length ...

(space diagonal)^2 = a^2 + (face diagonal)^2 = a^2 +b^2 +c^2

So, the length of the space diagonal is ...

space diagonal = √(a^2 +b^2 +c^2)

when the prism is a cube, these are all the same (a=b=c). This is the formula we used above.

3 0

3 years ago

The lines below are parallel. If the slope of the green line is -2, what is the slope of the red line?

IgorLugansk [536]

Parallel lines have equal slopes, so if green line has slope = -2 then, red line's slope would be equal to -2

In short, Your Answer would be Option A

Hope this helps!

5 0

3 years ago

Read 2 more answers

The sutton police department must write, on average, 6 tickets a day to keep department revenues at budgeted levels. suppose the

lakkis [162]

The Poisson distribution defines the probability of k discrete and independent events occurring in a given time interval.
If λ = the average number of event occurring within the given interval, then
$P(k \, events) = e^{-\lambda } ( \frac{\lambda ^{k}}{k!} )$

For the given problem,
λ = 6.5, average number of tickets per day.
k = 6, the required number of tickets per day
The Poisson distribution is
$P(k \, tickets/day)=e^{-6.5} ( \frac{6.5 ^{k}}{k!} )$
The distribution is graphed as shown below.

Answer:
The mean is λ = 6.5 tickets per day, and it represents the expected number of tickets written per day.
The required value of k = 6 is less than the expected value, therefore the department's revenue target is met on an average basis.

8 0

3 years ago