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2 years ago

The perimeter of a rectangular carpet is 32 ft. Its length of the carpet is 6 ft. What is its width, w?

Mathematics

1 answer:

lakkis [162]2 years ago

7 0

Answer:

5.3

Step-by-step explanation: dived 32 by 6

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Millie designed a rectangular label to put on the front of her scrapbook. The label was 512 foot wide and 56 foot long. What was

cluponka [151]

28,672 feet squared. The area of a rectangle is it's length multiplied by its width, so you would multiple 512 with 56 to get your answer of 28,672. hope this helps :)

4 0

3 years ago

Find the point(s) of intersection (if any) of the plane and the line. Also, determine whether the line lies in the plane. 2x - 2

s2008m [1.1K]

Answer:

the intersection is the point P=(x,y,z)=(8,9,14) and the line does not lie in the plane

Step-by-step explanation:

from the equation of the line

x - 1/2 = y + (3/2)/-1 = (z + 1) / 2 = t (parameter)

then the parametric equation of the line is

x= 1/2 +t

y = (3/2) + t

z = (-1) + 2*t

therefore from the equation of the plane

2x - 2y + z = 12

2*(1/2 +t) - 2[(3/2) + t] + [(-1) + 2*t] = 12

1+2*t - 3 -2*t -1 + 2*t = 12

-3 + 2*t = 12

t= 15/2

therefore there is only one intersection of the line with the plane ( then the line does not lie in the plane , since there would be infinite intersection points). The intersection is

x= 1/2 +t = 1/2 +15/2 = 8

y = (3/2) + t = (3/2) + 15/2 = 9

z = (-1) + 2*t = (-1) + 2*15/2 = 14

thus the intersection point P=(x,y,z)=(8,9,14)

7 0

2 years ago

The grades of a science test are normally distributed. Thanh finds that his grade on the test has a z-score of –2.5. Which state

liraira [26]

From all those aforementioned, the true statement is: Thanh’s grade is 2.5 standard deviations below the mean of the test grades.

7 0

2 years ago

Read 2 more answers

Factor completely. If a polynomial is prime, state this<br> -9+18x²+21x

grin007 [14]

Factoring completely you get: 3(3x-1)(2x+3)

3 0

3 years ago

10 points! I will thanks, rate, and give best answer!!

vfiekz [6]

Answer: The fourth term is -102

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Explanation:

The term after the nth term is generated by this rule $a_{n+1} = -4(a_n) + 2$ which means that we first
Step 1) multiply the nth term ( $a_n$ ) by -4
Step 2) Add the result of step 1 to the value 2 to get the next term in the sequence

Let's follow those steps above to generate the first four terms

The first term is $a_1 = 2$ . In short, the first term is 2

The second term is...
$a_{n+1} = -4(a_n) + 2$
$a_{1+1} = -4(a_1) + 2$
$a_{2} = -4(2) + 2$
$a_{2} = -8 + 2$
$a_{2} = -6$
So the second term is -6

The third term is...
$a_{n+1} = -4(a_n) + 2$
$a_{2+1} = -4(a_2) + 2$
$a_{3} = -4(-6) + 2$
$a_{3} = 24 + 2$
$a_{3} = 26$
The third term is 26

Finally, the fourth term is...
$a_{n+1} = -4(a_n) + 2$
$a_{3+1} = -4(a_3) + 2$
$a_{4} = -4(26) + 2$
$a_{4} = -104 + 2$
$a_{4} = -102$
The fourth term is -102.

4 0

3 years ago