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Law Incorporation [45]
3 years ago
15

A triangle has sides of length 2 cm and 12 cm. What can you say about the length of the third​ side?

Mathematics
1 answer:
pishuonlain [190]3 years ago
3 0

Answer:

  • The third side must be between 10cm and 14 cm

Step-by-step explanation:

Let the third side be x

<u>Triangle inequality theorem: sum of the length of any two sides must be greater than the third side length:</u>

  • 2 + 12 > x ⇒ x < 14
  • 2 + x > 12 ⇒ x > 10
  • x + 12 > 2 ⇒ x > -10, we change it to x > 0 as it should be a positive number

<u>Combined together we have:</u>

  • 10 < x < 14

The third side must be between 10cm and 14 cm

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A bag with 2 2/4 ounces of peanuts can make 2/3 of a jar of peanut butter. It can make one full jar with how many ounces of pean
lbvjy [14]
One whole jar= 3/3 or 1

Set up a ratio comparing the two sets of measurements.

2 2/4 ounces of peanuts is to 2/3 of a jar as x ounces of peanuts is to 3/3 of a jar.

x= ounces in 1 whole jar

2 2/4 / 2/3= x / 3/3
cross multiply

(2 2/4 * 3/3)= (2/3 * x)
convert to improper fractions

10/4 * 3/3= 2/3x
multiply numerators; multiply denominators

(10*3)/(4*3)= 2/3x

30/12= 2/3x
divide both sides by 2/3

30/12 ÷ 2/3= x
to divide fractions, multiply by the reciprocal/inverse of 2/3

30/12 * 3/2= x
multiply numerators; multiply denominators

(30*3)/(12*2)= x
90/24= x
simplify by 6

15/4 or 3 3/4 ounces= x


ANSWER: 3 3/4 ounces can make a full jar.

Hope this helps! :)
5 0
3 years ago
Work out the volume of a cuboid of edge 4cm by 4cm by 7cm
arsen [322]
U times all them number together so it would be 4x4x7=112
4 0
3 years ago
I need help pleasee..
siniylev [52]

Answer:

c, i and 3

Step-by-step explanation:

if you look at the congruence signs, then you will see that the 70 degree angle is in the same place.

7 0
3 years ago
Find the missing side of the right triangle. Side a = 10 and side b = 5
Levart [38]

Assuming that C is the hypotenuse...

The formula you want to use is:

a^2 + b^2 = c^2

We start by squaring 10, which is 100. 5^2 is 25. Now that we have the values, we can do the equation.

100+25=c^2                  100+25=\sqrt{125}

Now, square root \sqrt{125}

C= 11.180

3 0
2 years ago
Can help me complete this problem please :c
motikmotik

Answer:

A = \dfrac{7}{2}\pi~cm^2

Step-by-step explanation:

There is a formula for the area of a sector given the radius and the angle measure.

A = \dfrac{n}{360^\circ}\pi r

n = angle measure

r = radius

A = \dfrac{140^\circ}{360^\circ}\pi \times (3~cm)^2

A = \dfrac{14}{36}\pi \times 9~cm^2

A = \dfrac{7}{18}\pi \times 9~cm^2

A = \dfrac{7}{2}\pi~cm^2

3 0
3 years ago
Read 2 more answers
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