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Shtirlitz [24]
3 years ago
8

A blackboard has an area of 28ft and a perimeter of 22 ft. What are the dimensions of the board?

Mathematics
2 answers:
DanielleElmas [232]3 years ago
7 0
Width and height their is no depth
Lunna [17]3 years ago
6 0
Hey there!

Area is multiplying the width and the length, so check what two numbers equal 28 . . .

4 x 7 =  28 (area)


4 + 4 = 8

7 + 7 = 14

8 + 14 = 22 (perimeter)

The dimensions are 4 by 7 ft.

Hope this helps you.
Have a great day!

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What is the slope of the line on the graph?
TiliK225 [7]

Answer:The slope is defined as the ratio of the vertical change between two points, the rise, to the horizontal change between the same two points, the run. The slope of a line is usually represented by the letter m. (x1, y1) represents the first point whereas (x2, y2) represents the second point.

3 0
3 years ago
What is the truth value for the following conditional statement?
Studentka2010 [4]

Answer:

TT→T

Step-by-step explanation:

If p is false, then ~p is true.

If q is false, then ~q is true.

Now note that

  • If a and b are both true, then a→b is true.
  • If a is true, b is false, then a→b is false.
  • If a is false, b is true, then a→b is true.
  • If a and b are both false, then a→b is true.

In your case, both~p and ~q are true, then ~p→~q is true too (or TT→T)

3 0
3 years ago
Find the value of x in the isosceles triangle​
Ne4ueva [31]

Answer:

10

Step-by-step explanation:

Seeing the 5 12 13 triple you get 1/2x=5 so

x=10

4 0
3 years ago
A ball is thrown up in the air, and it's height (in feet) as a function of time (in seconds) can be written as h(t) = -16t2 + 32
olga2289 [7]

Answer:

1) Using properties of the quadratic equation:

Here the height equation is:

h(t) = -16t^2 + 32t + 6

We can see that the leading coefficient is negative, this means that the arms of the graph will open downwards.

Then, the vertex of the quadratic equation will be the maximum.

Remember that for a general quadratic equation:

a*x^2 + b*x + c = y

the x-value of the vertex is:

x = -b/2a

Then in our case, the vertex is at:

t = -32/(2*-16) = 1

The maximum height will be the height equation evaluated in this time:

h(1) = -16*1^2 + 32*1 + 6 = 22

The maximum height is 22ft

2) Second method, using physics.

We know that an object reaches its maximum height when the velocity is equal to zero (the velocity equal to zero means that, at this point, the object stops going upwards).

If the height equation is:

h(t) = -16*t^2 + 32*t + 6

the velocity equation is the first derivation of h(t)

Remember that for a function f(x) = a*x^n

we have that:

df(x)/dx = n*a*x^(n-1)

Then:

v(t) = dh(t)/dt = 2*(-16)*t + 32 + 0

v(t) = -32*t + 32

Now we need to find the value of t such that the velocity is equal to zero:

v(t) = 0 = -32*t + 32

       32*t = 32

            t = 32/32 = 1

So the maximum height is at t = 1

(same as before)

Now we just need to evaluate the height equation in t = 1:

h(1) = -16*1^2 + 32*1 + 6 = 22

The maximum height is 22ft

4 0
3 years ago
32 3/4−12 1/2=
makkiz [27]

Ans: 20.25

can convert the mixed numbers fractions to improper fractions before making the denominators the same and coming up with the answer in decimals

hope this helps:))

7 0
3 years ago
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