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2 years ago

Which values from the set {2, 4, 6, 8, 10} make the inequality n + 5 > 10 true?

Mathematics

2 answers:

nadezda [96]2 years ago

5 0

D. Plug the numbers in for n.

mr Goodwill [35]2 years ago

5 0

D, this question is basically asking which numbers in the set {2, 4, 6, 8, 10} is greater than 10 WHEN 5 is added. To solve this, just look at each number and add 5, if the result is greater than 10 then it is in the answer if not then it is not. Hope this helped!

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The length of a rectangle is 1 ft less than twice the width, the area of the rectangle is 21 ft squared. What’s the length

guapka [62]

Answer:

The length of the rectangle is 6 feet

Step-by-step explanation:

Given as :

The length of rectangle is 1 feet less than twice the width

So, let The width of rectangle = w feet

The length of rectangle = ( 2 w - 1 ) feet

The area of the rectangle = 21 feet²

Now,

∵ The area of the rectangle = length × width

Or, 21 feet² = ( 2 w - 1 ) feet × w feet

or, 21 = 2 w² - w

or, 2 w² - w - 21 = 0

or, 2 w² + 6 w - 7 w - 21 = 0

or , 2 w ( w + 3 ) - 7 ( w + 3 ) = 0

or, ( w + 3 ) ( 2 w - 7 ) = 0

So, w = - 3 feet , $\frac{7}{2}$ feet

here we consider only positive value of w i.e $\frac{7}{2}$ feet

∴ The length of rectangle = ( 2 w - 1 ) feet

or, The length of rectangle = 2 × $\frac{7}{2}$ - 1

Or, The length of rectangle = 7 - 1 = 6 feet

Hence The length of the rectangle is 6 feet , Answer

3 0

3 years ago

What is the standard form of the polynomial 4x+6y^3x-xy+xy^2

meriva

The required standard form is $6y^3x+xy^2-xy+4x$

<h3>Polynomial function</h3>

Given the polynomial function expressed as:

$4x+6y^3x-xy+xy^2$

We are to express this polynomial in standard form

To do that, we will write the degrees of the variables in descending order of magnitude as shown:

$4x+6y^3x-xy+xy^2\\6y^3x+xy^2-xy+4x$

Hence the required standard form is $6y^3x+xy^2-xy+4x$

Learn more on polynomial functions here: brainly.com/question/7693326

7 0

2 years ago

The mean of the heights of three buildings A,B and C is 14.2m. The mean of the heights of five buildings A,B,C, D and E is 14.8m

Jobisdone [24]

<h3>Answer: 15.7 meters</h3>

========================================================

Work Shown:

s = sum of the heights of buildings A,B,C

s/3 = mean of the heights of buildings A,B,C

s/3 = 14.2

s = 3*14.2

s = 42.6

The buildings A,B,C have their heights add up to 42.6

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

r = sum of the heights of buildings A,B,C,D,E

r/5 = mean of the heights of buildings A,B,C,D,E

r/5 = 14.8

r = 5*14.8

r = 74

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

r-s = (sum of heights of A,B,C,D,E)-(sum of heights of A,B,C)

r-s = sum of the heights of buildings D and E

r-s = 74-42.6

r-s = 31.4

(r-s)/2 = mean height of buildings D and E

(r-s)/2 = 31.4/2

(r-s)/2 = 15.7 meters is the average height of buildings D and E.

4 0

2 years ago

What is sin 45°? O A. 1/2 12 1 OB. NI O C. 1 O D. O E. 1 3 O F. 13 ap.ex

andrew-mc [135]

1/√2

Step-by-step explanation:

Imagine a right-angled triangle, for e.g. Triangle ABC,

Where

B = 90°

Remember your Toa Cah Soh.

sin 45° = opposite / hypotenuse

If theta = 45°

Angles A and C = 45° (Sum of angles in a triangle equal = 180°)

Since theta are the same, we can also deduce that the length AB and BC are the same.

Take for example AB = BC = 1 = opposite

By the Pythagorean theorem,

AB² + BC² = AC²

1² + 1² = AC²

2 = AC²

AC = √2 = hypotenuse

Therefore:

sin 45° = opposite / hypotenuse

sin 45° = 1/√2

6 0

2 years ago

f(x) = 3/4 * x - 7 . Find x if f(x) = - 1 . PLEASE tell how to solve it bc that what i dont know, i dont want just the answer

Eva8 [605]

Answer:

$x=-8$ if $f(x)=-1$

Step-by-step explanation:

Given --> $f(x)=-\frac{3}{4}x-7$

Substitute $f(x)=-1$ into the equation and solve for $x$ :

$-1=-\frac{3}{4}x-7$

$6=-\frac{3}{4}x$

$24=-3x$

$-8=x$

So, when $f(x)=-1,x=-8$

8 0

2 years ago