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Paul [167]
3 years ago
5

Fifteen more than twice a number 9 is

Mathematics
2 answers:
Leokris [45]3 years ago
6 0
The question is asking 15+2*9=? so to do this first multiply 2*9 which = 18 and then add 15, 18+15= 33
tatiyna3 years ago
5 0


The first variable is 15

More than means Addition

15+2*9

2*9= 18

15+18

33

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A rectangular enclosure is to be created using 82m rope.
atroni [7]
Let
x-----> the length of rectangle
y-----> the width of rectangle

we know that 
perimeter of rectangle=2*[x+y]
perimeter of rectangle=82 m
82=2*[x+y]---> divide by 2 both sides---> 41=x+y--> y=41-x---> equation 1

Area of rectangle=x*y
substitute equation 1 in the area formula
Area=x*[41-x]----> 41x-x²

using a graph tool
see the attached figure

the vertex is the point (20.5,420.25)
that means
 for x=20.5 m ( length of rectangle)
the area is 420.25 m²

y=420.25/20.5----> 20.5 m

the dimensions are
20.5 m x 20.5 m------> is a square

the answer part 1) 
<span>the dimensions of the rectangular with Maximum area is a square with length side 20.5 meters
</span>
Part 2)<span>b) Suppose 41 barriers each 2m long, are used instead. Can the same area be enclosed?
</span>divide the length side of the square by 2
so
20.5/2=10.25--------> 10 barriers
the dimensions are 10 barriers x 10 barriers
10 barriers=10*2---> 20 m

the area enclosed with barriers is =20*20----> 400 m²

400 m² < 420.25 m²
so

the answer Part 2) is 
<span>the area enclosed by the barriers is less than the area enclosed by the rope
</span>
Part 3)<span>How much more area can be enclosed if the rope is used instead of the barriers
</span>
area using the rope=420.25 m²
area using the barriers=400 m²

420.25-400=20.25 m²

the answer part 3) is
20.25 m²

6 0
3 years ago
Given: ∆ABC –iso. ∆, m∠BAC = 120°
lidiya [134]

Answer: P\triangle ADH = (a+b+\sqrt{a^2+b^2} ) unit

Step-by-step explanation:

Since Here Δ ABC is a isosceles triangle.

Also, AH\perp BC and HD\perp AC

Thus, ∠ ADH = 90°

That is, Δ ADH is the right angle triangle.

In which, AD = a unit and HD = b unit

And, By the definition of Pythagoras theorem,

AH^2 = HD^2 + AD^2

⇒ AH^2 = a^2 +b^2

⇒ AH = \sqrt{a^2+b^2}

Since, the perimeter of a triangle = sum of the all sides of the triangle.

Therefore, perimeter of ΔADH = AD + DH + AH

= a + b + \sqrt{a^2+b^2} unit

4 0
3 years ago
The exchange rate is: £1 = $1.54 How many £ would I get for $77<br><br> Please help now
tiny-mole [99]

Answer:

£50

Step-by-step explanation:

£1 = $1.54

£x = $77

Cross multiply.

1.54x = 77

x = 77/1.54

x = 50

You would get £50 for $77.

4 0
3 years ago
Read 2 more answers
ABC is isosceles.<br> m X = [?]<br> please help!!
Rashid [163]

Answer:

  x = 4

Step-by-step explanation:

The base angles of an isosceles triangle are congruent, as shown in the figure.

Equating their measures, we have ...

  ∠A = ∠C

  8x -7 = 25 . . . . substitute the given expressions

  8x = 32 . . . . . add 7

  x = 4 . . . . . . divide by 8

6 0
2 years ago
What would the answer be to the expression 22 + (30 - 4) ÷2
Alex

Answer:

24

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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