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2 years ago

A rectangle has a height of 5 and a width of 4x2– 2x - 6.

Mathematics

1 answer:

joja [24]2 years ago

5 0

Answer:

area = 20x^2 - 10x - 30

Step-by-step explanation:

5(4x2 - 2x - 6)

area = 20x^2 - 10x - 30

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a rectangular room is twice as long as its breadth and its peimeter is 540 m. find the number of bricks of size 20 cm ×12cm to p

balu736 [363]

Answer:

Step-by-step explanation:

breadth = x

length = 2x

Perimeter = 540m

2*( length + breadth ) = 540

2 *(2x + x) = 540

3x = 540/2

3x = 270

x = 270/3

x = 90 m

Breadth = 90m = 90 *100 = 9000 cm

Length = 2*90 = 180 m = 180 * 100 = 18000 cm

No.of bricks = Area of room/ area of one brick

= 9000 * 18000 / 20 * 12

= 675000 bricks

6 0

2 years ago

the point of M ( a, 4 ) is the midpoint of the line segment with endpoint at A(1,3) and B(5,b). Find the value of a and b

vazorg [7]

The value of a and b from the coordinates are 3 and 5 respectively

<h3>Midpoint of coordinates</h3>

The formula for finding the midpoint of two coordinates is expressed as;

M(x, y) = {x1+x2/2, y1+y1/2}

Given the following coordinates

M(a, 4)

A(1,3)

B(5,b)

Using the formula

a = 1+5/2

a = 6/2

a = 3

Similarly

4 = 3+b/2

8 = 3+b

b = 8-3

b = 5

Hence the value of a and b from the coordinates are 3 and 5 respectively

Learn more on midpoint here: brainly.com/question/18315903

#SPJ1

6 0

1 year ago

Read 2 more answers

The wildflowers at a national park have been decreasing in numbers. There were 300 wildflowers in the first year that the park s

Scorpion4ik [409]

Although the number of new wildflowers is decreasing, the total number of flowers is increasing every year (assuming flowers aren't dying or otherwise being removed). Every year, 25% of the number of new flowers from the previous year are added.
The sigma notation would be:
∑ (from n=1 to ∞) 4800 * (1/4)ⁿ , where n is the year.
Remember that this notation should give us the sum of all new flowers from year 1 to infinite, and the values of new flowers for each year should match those given in the table for years 1, 2, and 3
This means the total number of flowers equals:
Year 1: 4800 * 1/4 = 1200 ]
+
Year 2: 4800 * (1/4)² = 300
+
Year 3: 4800 * (1/4)³ = 75
+
Year 4: 4800 * (1/4)⁴ = 18.75 = ~19 (we can't have a part of a flower)
+
Year 5: 4800 * (1/4)⁵ = 4.68 = ~ 5
+
Year 6: 4800 * (1/4)⁶ = 1.17 = ~1
And so on. As you can see, it in the years that follow the number of flowers added approaches zero. Thus, we can approximate the infinite sum of new flowers using just Years 1-6:
1200 + 300 + 75 + 19 + 5 + 1 = 1,600

8 0

2 years ago

Pls pls help I’m really confused could someone explain to me pls

kenny6666 [7]

Answer: 11.6

--------------------------------------

Explanation:

See the attached image for a visual reference

The distance from point D to E is 21 units. Point C is the midpoint, so CD is 10.5 units long (21/2 = 10.5)

We have a right triangle ACD. The legs are
AC = 5
CD = 10.5
The hypotenuse is
AD = x
Because AD is another radius of the same circle

Use the pythagorean theorem to find x
a^2 + b^2 = c^2
5^2 + 10.5^2 = x^2
25 + 110.25 = x^2
135.25 = x^2
x^2 = 135.25
x = sqrt(135.25)
x = 11.629703349613
which rounds to 11.6 when rounding to the nearest tenth (one decimal place)

3 0

2 years ago

Look at the table on texts assigned to students. A 4-column table with 3 rows titled texts assigned to students. The first colum

wel

Answer is C) 0.1 on edge.

3 0

2 years ago

Read 2 more answers