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bija089 [108]
3 years ago
9

Consider rectangle PQRS (not shown) with PQ=12 and PS=16. If A and B are the midpoints of sides PQ?????? and QR?????? respective

ly, find AB.

Mathematics
1 answer:
Vesnalui [34]3 years ago
7 0

Answer: The answer is AB =10


Step-by-step explanation:

In the given figure there is a rectangle PQRS

Given :PQ=12

PS=16

Since it is a rectangle

∵ PQ=RS

and PS=QR

i.e. QR=16

A is mid point of PQ

⇒QA =\frac{12}{2}

=6

B is mid point of QR

⇒ QB=\frac{16}{2}

=8

So In Δ AQB

Applying pythagoras theorem

AQ² +BQ² =AB²

∵ AB²=6²+8²

=36 +64

=100

i.e. AB=√100

=10

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Help please! This has to do with the Pythagorean theorem.
Alex Ar [27]
The answer is 14.87.
a^2+b^2=c^2

10^2+11^2=c^2

100+121=c^2

221=c^2

Square root both sides

14.87=c
Hope this helps!!
7 0
3 years ago
Ben and Josh went to the roof of their 40-foot tall high school to throw their math books off the edge.
krok68 [10]

Answer:

  • Josh's book lands first
  • Ben's lands about 0.648 seconds later

Step-by-step explanation:

Using the given equation for v=60 and s=40, the height of Ben's book is ...

  h(t) = -16t² +60t +40

We want to find t when h(t) = 0, so we're looking for the solution to ....

  0 = -16t² +60t +40

Using the quadratic formula, we find the positive value of t to be ...

  t = (-60 -√(60² -4(-16)(40)))/(2(-16)) = (15 +√385)/8 ≈ 4.3277

__

Similarly, the height of Josh's book is ...

  0 = -16t² +48t +40

  t = (-48 -√(48² -4(-16)(40)))/(2(-16)) = (12 +√304)/8 ≈ 3.6794

__

The time before Josh's book lands is shorter by ...

  4.3277 -3.6794 ≈ 0.6482 . . . . . seconds

Josh's book reaches the ground first, by about 0.648 seconds.

3 0
3 years ago
Explain why an elevation less than -5 feet represents a distance from sea level greater than 5 feet. ​
Morgarella [4.7K]

The elevation represents a distance from the sea level greater than 5 feet,

because the original description specifies a distance greater than 5 feet

below sea level.

Reasons:

The elevation given as a distance is the height or distance above sea level.

In the above description, elevation is a vector, given that it has both

magnitude (distance) and direction (above sea level).

Distance is a scalar quantity, that has only a magnitude that specifies the

space covered during motion.

An elevation of less than -5 feet indicates that distance of the location

above sea level is less than -5 feet, which is the same as; the distance of

the location  below sea level is greater than 5 feet.

  • Less than -5 feet above sea level = Greater than 5 feet below sea level

Therefore;

  • An elevation of less than -5 feet represents a distance from (below) sea level greater than 5 feet

Learn more about vector and scalar quantities here:

brainly.com/question/11968679

6 0
2 years ago
a father is twice as old as his son. 20 yrs ago the father was four times as old as his son. find their present ages
Roman55 [17]

Answer:

son's present age = 30

father's present age=60

Step-by-step explanation:

his son's present age = x years

his father's present age = 2x years

before 20 years his son's age=(x-20) years

before 20 years father's age=(2x-20) years4(x-20)=(2x-20)

4x-80=2x-20

4x-2x=80-20

2x=60

x=30

5 0
2 years ago
Reynaldo is making a model of his school building. The actual building is 28
tankabanditka [31]

Answer:

It's 22.5 inches because the breadth is grater than the length

7 0
3 years ago
Read 2 more answers
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