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Paha777 [63]
3 years ago
12

Here are two rectangles.

Mathematics
1 answer:
Sophie [7]3 years ago
6 0

Answer:

AB=9.5\ cm

Step-by-step explanation:

step 1

Find the length side PQ

we know that

The area of rectangle PQRS is given by

A=(PQ)(QR)

A=66\ cm^2

so

66=(PQ)(QR)

substitute the value of QR

66=(PQ)(12)

solve for PQ

PQ=66/12\\PQ=5.5\ cm

step 2

Find the length side AB

we know that

The perimeter of rectangle ABCD is given by

P=2(AB+BC)

we have

P=30\ cm\\BC=PQ=5.5\ cm

substitute

30=2(AB+5.5)

solve for AB

15=AB+5.5\\AB=15-5.5\\AB=9.5\ cm

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A plane averaged 500 mph on a trip going east, but only 200 mph on the return trip. The total flying time in both directions was
adoni [48]

Let's assume time taken by plane on one way distance as 't'

The total flying time in both directions was 10.5 hr

so, time taken in other direction =10.5-t

now, we are given

A plane averaged 500 mph on a trip going east

so, total distance of one way is

=500t

total distance of other way is

=200(10.5-t)

now, we can that distance is same from both sides

so, we get

500t=200(10.5-t)

now, we can solve for t

500t=2100-200t

700t=2100

t=3

now, we can find one way distance

=500\times 3

=1500miles..............Answer

6 0
2 years ago
If f(x) = 2x + 3 for all values of x, what is the value of f(-3)?​
IrinaK [193]

Answer:

f(-3)= -3

Step-by-step explanation:

We are given the function:

f(x) = 2x+3

and asked to find f(-3). Essentially, we want to find f(x) when x is equal to -3.

Therefore, we can substitute -3 for each x in the function.

f(x)= 2x+3 at x= -3

f(-3)= 2(-3) +3

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition and Subtraction

Multiply 2 and -3.

f(-3) = (2*-3) +3

f(-3)= (-6)+3

Add -6 and 3.

f(-3)= (-6+3)

f(-3)= -3

If f(x)= 2x+3, then<em> f(-3)= -3</em>

7 0
3 years ago
M3L3
eduard

The area of the David's pantry = 10 square feet.

The length of the pantry = 5 feet.

<h3>Define the term area of the rectangle?</h3>
  • The territory inhabited by a rectangle inside its 4 sides or limits is known as its area.
  • The area of such a rectangle is determined by its sides. Essentially, the formula calculating area is equivalent to the product of the rectangle's length and breadth.

For the given question.

  • David's kitchen is 60 square feet in size.
  • The kitchen is six times the size of the living room.

Thus,

Area of kitchen  = 6 x area of the pantry

60 = 6 x area of the pantry

area of the pantry = 60 / 6 = 10 square feet.

Area of the pantry = length x breadth

10 = length x 2

length = 10/2 = 5 feet.

Thus, the length of the pantry is found as the 5 feet.

To know more about the area of the rectangle, here

brainly.com/question/16239445

#SPJ4

6 0
1 year ago
15 - (-3) - 4<br><br> -16<br><br> 22<br><br> -8<br><br> 14
uranmaximum [27]
In this equation, you have to treat the number in the bracket first on the basis of BODMAS
15 - [-3]- 4
Note that when two minuses come together the product is a plus sign.
15 +3 - 4
You have to add before you subract
18 - 4 =14
Therefore, 15- [-3] - 4 = 14.
8 0
3 years ago
A cyclist travels 5.8 km in 30 minutes. <br> What is his average speed in km/h?
Sauron [17]

Answer:

11.6km/h

Step-by-step explanation:

multiply 30 min by 2 to get to an hour

multiply 5.8 by 2 to get to km per hour

4 0
3 years ago
Read 2 more answers
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