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finlep [7]
3 years ago
11

The sides of a triangle are in the ratio 12:17: 25 and its perimeter is 540cm. The area is:

Mathematics
1 answer:
Feliz [49]3 years ago
5 0

1000

Step-by-step explanation:

Find the height of the triangle using the Pythagoras theorem

Then, use it to calculate the area of the triangle

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The sum of first three terms of an arithmetic series is 21. If the sum of the first two terms is subtracted from the third term
Ronch [10]

Answer:

The terms are - 1, 7 and 15.

Step-by-step explanation:

Let the terms be a-d, a and a+d

ATQ, a-d+a+a+d=21, a=7. a+d-(a+(a-d))=9. d=8. The terms are - 1, 7 and 15.

5 0
3 years ago
James, Gilbert, Matthew, and Simon ran in a relay race.
alexandr1967 [171]
Answer


You make all the denominators to 12.

That makes Gilbert the fastest and Simon the slowest.
4 0
3 years ago
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Solve the following system of equations using the substitution method.
BartSMP [9]

Answer:

B

Step-by-step explanation:

First label the equations.

6x +3y= 18 -----(1)

y= -2x +5 -----(2)

subst. (2) into (1):

6x +3(-2x +5)= 18

6x +3(-2x) +3(5)= 18 (expand)

6x -6x +15= 18

15= 18 (simplify)

(reject)

There is no solution.

<u>Further explanation</u><u>:</u>

If I rewrite the first equation into the form of y=mx+c, I would get

6x +3y=18

3y= 18 -6x (bring y term to one side)

y= 6- 2x (÷3 throughout)

y= -2x +6

Notice that the gradients of both lines are equal ( -2). This implies that they are parallel to each other and will never meet. Hence there are no solutions.

3 0
3 years ago
Help me pls! this is due tonite . I'm doing a ged practice test and I just have a few questions I haven't answered
beks73 [17]

Answer:

Step-by-step explanation:

36x⁴ /12x⁴ + 12x⁸ / 12x⁴

3x+x²

3 0
3 years ago
By remainder theorem, find the remainder of p(x) when it is divided by g(x), where p(x)= x^3-2x^2-4x-1, g(x)= x+1
Anuta_ua [19.1K]

By the remainder theorem the remainder when dividing p(x) by x-a is p(a).

Dividing by x+1 means we want p(-1).

p(-1) = (-1)³ - 2(-1)² -4(-1) - 1 = -1 - 2 + 4 - 1 = 0

Answer: 0

They go in evenly so x+1 is a factor of p(x).

7 0
3 years ago
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