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torisob [31]
3 years ago
6

What is the area of this triangle?

Mathematics
1 answer:
amid [387]3 years ago
7 0
We can solve for the 3 triangle sides.
The left side is easy 6.
Second side² = 7² + 4²
Second side² = 49 + 16
Second side = square root (65)
Second side = <span> <span> <span> 8.0622577483 </span> </span> </span>
Third Side² = 7² + 2²
Third Side² = 53
Third Side = <span> <span> <span> 7.2801098893 </span> </span> </span>
When we know 3 sides, we use Heron's formula for calculating area:
Perimeter = <span> <span> <span> 21.3423676376 </span> </span> </span>
Semi-Perimeter = <span> <span> <span> 10.6711838188 </span> </span> </span>
Using Heron's Formula
area = square root (<span>10.6711838188 * </span><span>4.6711838188 * </span> <span> <span> <span> 2.6089260705 </span> </span> </span> * <span> <span> <span> 3.3910739295 </span> </span> </span> )
area = square root (441)
area = 21

Yes, it's just that "easy".  LOL

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4 0
2 years ago
The remainder obtained when 3x^3 - 6x^2 + ax -1 is divided by x+1 is equal to the remainder obtained when the same expression is
telo118 [61]

Answer:

5a

Step-by-step explanation:

Solution

verified

Verified by Toppr

We have x

3

−ax

2

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Apply remainder theorem

x−a=0

x=a

Put x=a in equation.

(a)

3

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=a

3

−a

3

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=6a−a

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Then reminder is 5a

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2 years ago
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2 years ago
Mary and Jane have $48 to share in the ratio 3:5. How much did each girl 2 points
zubka84 [21]

Answer:

Mary- $18

Jane- $30

Step-by-step explanation:

Add the numbers in the ratio together to get 8, and multiply 8 by the variable of x. Divide the total amount of money that both girls earned by 8. You will get x=6. Multiply 6 by 3 to get the amount of money Mary earned, which is 18, and multiply 6 by 5 to get the amount of money Jane earned, which is 30.

x(3+5) = $48

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8x/8 = $48/8

x = $6

3($6):5($6) = $18:$30

4 0
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