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Contact [7]
3 years ago
14

The length of the sides of a triangle are three consecutive integers. If the perimeter is 87, find the dimensions of the triangl

e. Show all work.
Mathematics
2 answers:
nadezda [96]3 years ago
8 0
You can divide 87 by 3 which is 29, so each angle will be 29 degrees.
Since they are consecutive, that means they will all measure the same.

Hope this helps! :)
sashaice [31]3 years ago
5 0
X = smallest side length
x+1 = midsized side length
x+2 = largest side length

Add up the three sides. Set the sum equal to 87 and then solve for x
(x)+(x+1)+(x+2) = 87
(x+x+x) + (1+2) = 87
3x+3 = 87
3x = 87-3
3x = 84
x = 84/3
x = 28

If x = 28, then
x+1 = 28+1 = 29
x+2 = 28+2 = 30

So the triangle has the three sides: 28, 29, 30
Check: 28+29+30 = 87

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A dog uses 30 lbs of dog food per day. How many pounds are used in a year?
Ludmilka [50]
To solve this we would do 30×365

We would do this because each day the dog 30lbs

So we have the equation y=30x
Where y= total amount of dog food
And x= number of days

In a year there are 365 days typically, so we do 30×365

30×365=10,950

In one year 10,950 lbs of dog food are used
6 0
4 years ago
Brianna evaluated the expressions 42+4 (6-2). Which number shows the correct solution.
TEA [102]

Answer:

58

Step-by-step explanation:

42+4(6-2) =

42+4(4) =

42+16 = <u>58</u>

3 0
3 years ago
Read 2 more answers
a farmer has 10 acres to plant in wheat and rye. He has to plant at least 7 acres. However, he has only $1200 to spend and each
Jobisdone [24]

Answer:

4 acres of wheat and 4 acres of rye.

Step-by-step explanation:

Given: Farmer has only 7 acre, he has plant at least 7 acres.

          Farmer has only $1200 to spend.

          Each acre of wheat will cost $200 and rye will cost $100.

          Planting time is only 12 hours

          Wheat planting take 1 hour per hour and rye take 2 hours per acre.

          Profit on wheat is $500 per acre and rye $300 per acre.

As to find out maximum profit, we need to plant maximum wheat.

While dividing number of acres of land for wheat and rye for plantation, we need to keep two constraint in the mind; Constraint of cost and time as given.

Lets assume few number considering these constraint to get maximum profit.

First assumption, 5 acres of wheat and 2 acres of rye

Time taken= 5\times 1= 5 h\\2\times 2= 2 h

Total time taken 7 hours

Amount spent= 5\times 200= \$ 1000\\2\times 100= \$ 200

Total cost is $ 1200.

Profit= 5\times 500= \$ 2500\\2\times 300= \$ 600

Maximum profit= $3100.

Second assumption, 4 acres of wheat and 4 acres of rye.

Times taken= 4\times 1= 4 h\\4\times 2= 8 h

Total time taken is 12 hours

Amount spent= 4\times 200= \$ 800\\4\times 100= \$ 400

Total cost is $1200.

Profit= 4\times 500= \$ 2000\\4\times 300= \$ 1200

Maximum profit= $3200.

∴ By using hit and trail method, we can see that we are getting maximum profit when farmer is planting 4 acres of wheat and 4 acres of rye.                

8 0
3 years ago
The Ericsson method is one of several methods claimed to increase the likelihood of a baby girl. In a clinical trial, results co
Travka [436]

Answer:

0.001

Step-by-step explanation:

Ericsson is claimed to increase the likelihood of a baby girl ;

Given the alternative hypothesis to buttress this claim :

HA : p>0.5

In other to establish the success of Ericsson's claim, then there must be significant evidence to reject the Null hypothesis ; hence adopt the alternative.

To Do this, we need a very small Pvalue ; such that it will be lesser than the α - value in other to reject the Null and adopt the alternative.

Recall ;

Pvalue < α ; We reject the Null

Therefore, from the options, we choose the smallest Pvalue as we want the Pvalue to be as small as possible.

4 0
3 years ago
Sin 2x=
loris [4]

Answer:

A,C

Step-by-step explanation:

sin 2x=sin (x+x)=sinx cos x+cos x sin x=2 sin x cos x

or =2 cos x sin x

[sinx cox=cos x sin x ]

6 0
3 years ago
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