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viktelen [127]
2 years ago
13

the length of two sides of a triangle are 7 and 10. The length of the third side may be any number __________

Mathematics
2 answers:
pychu [463]2 years ago
8 0

Answer: Greater than 3 but less than 17

Step-by-step explanation: To find the smallest possible side, subtract the largest of the given sides by the smallest. To find the largest possibly side, you add both given sides. In this case, you would subtract 7 from 10 to find the smallest side, which would be 3, and add both sides to find the largest possible side of 17.

AlladinOne [14]2 years ago
7 0

Answer:

Step-by-step explanation:

sum of two sides > third side

difference of two sides< third side

third side <10+7

also third side>10-7

D

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A group of friends wants to go to the amusement park. They have no more than $65 to spend on parking and admission. Parking is $
Aloiza [94]

Considering the definition of an inequality, the number of people who can go to the amusement park is 3.

<h3>Definition of inequality</h3>

An inequality is the existing inequality between two algebraic expressions, connected through the signs:

  • greater than >.
  • less than <.
  • less than or equal to ≤.
  • greater than or equal to ≥.

An inequality contains one or more unknown values ​​called unknowns, in addition to certain known data.

Solving an inequality consists of finding all the values ​​of the unknown for which the inequality relation holds.

<h3>Number of people who can go to the amusement park</h3>

In this case, you know that:

  • A group of friends has no more than $65 to spend on parking and admission.
  • Parking is $9.75, and tickets cost $16.25 per person, including tax.

Being "p" the number of people who can go to the amusement park, the inequality that expresses the previous relationship is

$9.75 + $16.25×p ≤$65

Solving:

$16.25×p ≤$65 - $9.75

$16.25×p ≤$55.25

p ≤$55.25÷ $16.25

<u><em>p≤ 3.4</em></u>

Finally, the number of people who can go to the amusement park is 3.

Learn more about inequality:

brainly.com/question/17578702

brainly.com/question/25275758

brainly.com/question/14361489

brainly.com/question/1462764

#SPJ1

4 0
2 years ago
Ln60-ln4 = ln(x^2 + 2x )
Sliva [168]
The answer you're looking for is, x = 3,-5
3 0
3 years ago
The points (2,r) and (5,-1) lie on a line with slope 4. what is r
Andrews [41]

Answer:

R=-13

Step-by-step explanation:

S=-1-r/5-2

4=-1-r/3

Cross multiply

4*3=-1-r

12=-1-r

Collect like terms

12+1=-r

-r=13

Divide both sides by -

r=-13

7 0
4 years ago
There are 850 Douglas fir and Ponderosa pine trees in a section of forest bought by Karamazov Logging Co. The company paid an av
ki77a [65]

Answer:

350 Douglas fir, 500 Ponderosa pine

Step-by-step explanation:

 Let f = the number of fir trees

and p = the number of pine trees.

Then, we have two conditions:

(1)                                f + p = 850

(2)                  300f + 225p = 217 500

(3)                                    p = 850 -f         Subtracted f from each side of (1)

(4)       300f + 225(850 - f) = 217 500     Substituted (3) into (3)

      300f + 191 250 - 225f = 217 500     Distributed 225

                    75f + 191 250 = 217 500     Distributed the 7

                                    75f = 26 250      Subtracted 191 250 each side

(5)                                     f = 350

                             350 + p = 850           Substituted (5) into (1)

                                        p = 500          Subtracted 350 from each side

The company bought 350 fir trees and 500 pine trees.

Check:

(1) 350 + 500 = 850     (2) 300 × 350 + 225 × 500 = 217 500  

              850 = 850                  105 000 + 112 500 = 217 500

                                                                   217 500 = 217 500

OK.

8 0
3 years ago
A 540-acre piece of land is being divided into 6-acre parcels. how many parcels will there be?
ryzh [129]
Basically, what you will do is 540 divided by 6

When you divide that, you should get, 90 parcels.

Hope this helps! Have a good rest of your day! c:
4 0
3 years ago
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