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3 years ago

What is 318.25 meters in word form

Mathematics

1 answer:

katrin [286]3 years ago

5 0

Three hundred and eightteen and twentyfive meters

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The area of a rectangular wall of a barn is 85 square feet. Its length is 12 feet longer than the width. Find the length and wid

MaRussiya [10]

Answer:

Length = 17 feet, Width = 5 feet

Step-by-step explanation:

Given:

The area of a rectangular wall of a barn is 85 square feet.

Its length is 12 feet longer than the width.

Question asked:

Find the length and width of the wall of the barn.

Solution:

Let width of a rectangular wall of a barn = $x$

<u>As length is 12 feet longer than the width.</u>

Length of a rectangular wall of a barn = $12+x$

As we know:

$Area\ of\ rectangle=length\times breadth$

$85=(12+x)x\\\\85=12x+x^{2} \\$

Subtracting both sides by 85

$x^{2} +12x-85=0\\x^{2} +17x-5x-85=0\\Taking\ common\\x+(x+17)-5x(x+17)=0\\(x+17)(x-5)=0\\x+17=0, x-5=0\\x=-17,x=5$

As width can never be in negative, hence width of a rectangular wall of a barn = $x$ = 5 feet

Length of a rectangular wall of a barn = $12+x=12+5=17\ feet$

Therefore, length and width of the wall of the barn is 17 feet and 5 feet respectively.

4 0

3 years ago

find the coordinates of the vertex of the following parabola algebraically. write your answer as an (x,y) point..y=x²+9

Alexandra [31]

Explanation:

using the parabola formula:

y = a(x-h)² + k²

vertex = (h, k)

We are given a parebola equation of: y = x²+9

comparing both equations to get the vertex:

y = y

a = 1

(x-h)² = x²

x² = (x + 0)²

(x-h)² = (x + 0)²

h = 0

+k = +9

k = 9

The vertex of the parabola as (x, y): (0, 9)

3 0

1 year ago

Solve the inequality

Lana71 [14]

3x-12>15
3x>15+12
3x÷3>27÷3
x>9

7 0

3 years ago

Assume that the random variable X is normally distributed, with mean ? = 50 and standard deviation ? = 7. Compute the following

sineoko [7]

Answer:

Step-by-step explanation:

Given that the random variable X is normally distributed, with

mean = 50 and standard deviation = 7.

Then we have z= $\frac{x-50}{7} is N(0,1)$

Using this and normal table we find that

a) $P(56$

b) When z=0.02

we get

$x=50+0.02(7)=50.14$

c) 90th percentile z value =1.645

90th percentile of X $=50+7(1.645)\\= 50+11.515\\=61.515$

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3 years ago

A harris poll found that 35% of people said that they drink a caffeinated beverage to combat midday drowsiness. a recent survey

AysviL [449]

No it's not believable.

8 0

3 years ago