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n200080 [17]
3 years ago
15

Find the length of the base of a triangle when one side is 2cm shorter than the base and the other side is 3cm longer than the b

ase. The perimeter is greater than 19cm
Mathematics
1 answer:
dem82 [27]3 years ago
8 0

Answer:

  > 6 cm

Step-by-step explanation:

Let b represent the length of the base in cm. Then the perimeter is ...

  b + (b -2) + (b +3) > 19

  3b +1 > 19 . . . . . . collect terms

  3b > 18 . . . . . . . . subtract 1

  b > 6  . . . . . . . . . divide by 3

The length of the base is greater than 6 cm.

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Write each sum using summation notation.<br> 1+ 3 + 5 + 7 + ⋯ + 99
PIT_PIT [208]

Answer:

\Sigma(2n-1) \left \{ {{n=50} \atop {n=1}} \right. \hspace{5} n\in N

Step-by-step explanation:

First, we need to find the sequence associated to the summation. As you can see the sum only takes odd numbers into account. Hence the sequence it is defined by:

2n-1

Where:

n\in N

Now, we only need to find the limits of the summation:

Evaluating n=1

2(1)-1=2-1=1

Evaluating n=50

2(50)-1=100-1=99

Therefore the summation can be written as:

\Sigma(2n-1) \left \{ {{n=50} \atop {n=1}} \right.

4 0
3 years ago
Pablo spit 3/4 pounds of candy amping 4 people what is the unit rate in pounds per person
Sunny_sXe [5.5K]

The unit rate is \frac{3}{16} pounds per person.

Step-by-step explanation:

Given,

Quantity of candy Pablo have = \frac{3}{4} pounds

Number of people = 4

We will divide the Quantity of candy by number of people.

Quantity of candy per person = \frac{3}{4}*\frac{1}{4}

Quantity of candy per person = \frac{3}{16} pounds of candy

The unit rate is \frac{3}{16} pounds per person.

Keywords: fraction, unit rate

Learn more about fractions at:

  • brainly.com/question/9998060
  • brainly.com/question/99841

#LearnwithBrainly

8 0
3 years ago
A lot is in the shape of a triangle. One side is 100 ft longer than the shortest side, while the third side is 700 ft longer tha
vaieri [72.5K]

We have the next information

x= the shortest side measure

y= the second side measure

y=x+100

z= the third side measures

z=x+700

We know also that the perimeter is 2900 ft

Therefore the equation for the perimeter of the triangle will be

P=x+y+z2900=x+x+100+x+700

we sum like terms

2900=3x+800

then we isolate the x

3x=2900-8003x=2100x=\frac{2100}{3}=700

therefore

x=700ft

y=700+100=800ft

z=700+700=1400ft

The lengths of the sides of the lote are 700 ,800, and 1400 ft,

8 0
1 year ago
Jenny drove 303 miles using 15 gallons of gas. At this rate, how many miles would she drive using 16 gallons of gas?
Alecsey [184]

Answer:

303/15 is 20.2

20.2*16 is 323.2

so 323.2 miles

8 0
3 years ago
Read 2 more answers
How do I figure out a mixed percentage number of a whole
seraphim [82]
Sorry not in high school
7 0
3 years ago
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