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denis-greek [22]
2 years ago
15

Kindly solve these questions for me.

Mathematics
1 answer:
OleMash [197]2 years ago
4 0

The perimeter of the rectangle based on the factors given is 46.

<h3>How to calculate the perimeter?</h3>

The area of the rectangle is given as (x² + 13x - 90). This will be:

= (x² + 13x - 90)

= x² + 18x - 5x - 90

= x(x + 18) - 5(x + 18)

= (x - 5)(x + 18)

The sides of the rectangle are 5 and 18. The perimeter will be:

= 2(l + w)

= 2(5 + 18)

= 46

The area of the rectangle is given as (x² + 24x - 81.

= (x² + 24x - 81)

= x² + 27x - 3x - 81

= x(x + 27) - 3(x + 27)

= (x - 3)(x + 27)

The sides are 3 and 27. The perimeter will be:

= 2(l + w)

= 2(27 + 3)

= 60

= (x + 1)² + 3(x + 1) + 2

= (x + 1)(x + 1) + 3x + 3 + 2

= x² + x + x + 1 + 3x + 5

= x² + 5x + 6

Learn more about factors on:

brainly.com/question/219464

#SPJ1

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padilas [110]
(10x 5 - 3x 6)
(50x - 18x)
(f-g) = 32x
7 0
3 years ago
Which equation is correct regarding the measure of ∠MNP?
Evgen [1.6K]

Answer:

The measure of anle MNP is

  • m ∠ MNP =  (x - y)/2

Explanation:

The image attached shows the figure corresponding to this question.

The <em>angle MNP</em>, wich is also the angle LNP, is formed by the intersection of a secant and a tanget to a circle.

Then, you can use the theorem:

  • the angle formed by a secant and a tangent to a circle that intersect outside the circle is half the difference of the major arc minus the minor arc.

The major arc formed is identified with the letter x and the minor arc is identified witht he letter y. Thus, the measure of the angle MNP is half the differenc x - y:

  • m ∠ MNP = (x - y)/2

6 0
3 years ago
Read 2 more answers
Timed quiz help please! <br> 2 2/5 kilometers in 3 3/4 minuets.
shepuryov [24]

Answer: 16/25 (sorry I'm not really sure bc I'm just  a middle schooler)

Step-by-Step explanation:

2 2/5 km=2.4 kilometers

3 3/4 minutes=3.75 minutes

2.4/3.75=240/375

240/375=48/75=16/25=64/100=0.64

0.64 km/minute (0.64 km per minute)

you can solve the problem using the fractions...

2 2/5=12/5

3 3/4=15/4

(12/5)/(15/4)=(12/5)*(4/15)=48/75=16/25=0.64 again, or you can simplify before multiplying...

(12/5)/(15/4)=(12/5)*(4/15)=(4/5)*(4/5)=16/25...

4 0
3 years ago
Simplify 2(10−x)+3(12−x)
GarryVolchara [31]

Answer:

-5x + 56

Step-by-step explanation:

Use distributive property to refine.

20 - 2x + 36 - 3x

Combine Like Terms

-5x + 56

3 0
3 years ago
Read 2 more answers
There are 527 pencils,646 erasers,748 sharpeners . these are to be put in separate packets containing the same no. of items. fin
Ksju [112]

To \; find \; the \; maximum \; number \; of \; items \; possible \; in each \; packet,\\we \; need \; to \; find \; the \; Greatest \; Common \; Factor\\ \; of \; 527 \; Pencils, \; 646 \; erasers \; and \; 748 \; sharpeners.\\\\We \; need \; to \; list \; the \; Factors \; of \; each \; number \; as \; given \; below\\ \; and \; identify \; the \; greatest \; common \; factor.

The \; factors \; of \; 527 \; are:\\1, \; 17, \; 31, \; 527\\\\The \; factors \; of \; 646 \; are:\\1, \; 2, \; 17, \; 19, \; 34, \; 38, \; 323, \; 646\\\\The \; factors \; of \; 748 \; are:\\1, \; 2, \; 4, \; 11, \; 17, \; 22, \; 34, \; 44, \; 68, \; 187, \; 374, \; 748\\\\Then \; the \; greatest \; common \; factor \; is \; 17.

Conclusion: \\There \; will \; 31 \; Pencils, \; 38 \; Erasers,\\ \; and \; 44 \; Sharpeners \; in \; each \; of \; SEVENTEEN \; packet.

4 0
3 years ago
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