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3 years ago

A triangle was dilated by a scale factor of 2. If cos a° = three fifths and segment FD measures 6 units, how long is segment DE?

Mathematics

2 answers:

kiruha [24]3 years ago

6 0

Answer:

10 units

Step-by-step explanation:

Given that:

Cos a = 3 /5

From trigonometry ;

Cos θ = Adjacent / hypotenus

Side Adjacent angle a = 3 = FD

Hypotenus = 5 = DE

3 / 5 = FD / DE

FD = 6 units

3/5 = 6/DE

DE * 3/5 = 6

DE = 6 ÷ 3/5

DE = 6 * 5 /3

DE = 30 /3

DE = 10 units

Artist 52 [7]3 years ago

4 0

Answer:

Step-by-step explanation:

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Step2247 [10]

Answer: The answer is 10.5

Step-by-step explanation: for subtracting the answer is 1.5 and for multplying its 39.375 and last for division its 0.51428571428 *lol*

Have a wonderful day! ^-^

6 0

3 years ago

For which values of k does the system of linear equations have zero, one, or an infinite number of solutions? [Note: not all thr

viktelen [127]

Answer:

The system has an infinite solution at k = 6, otherwise for any value of k, it has zero solution.

Step-by-step explanation:

Consider the system of linear equations:

$3x_{1} -x_{2}=2\;\;\;\;\;\;(1)\\ 9x_{1} -3x_{2}=k\;\;\;\;\;(2)$

The system of linear equations can have zero, one, or an infinite number of solutions:

simplify equation (1):

$x_{2}=3x_{1} -2$

substitute in equation (2), we get

$9x_{1} -3(3x_{1}-2)=k\\9x_{1} -9x_{1}+6=k\\0+6=k$

we cannot find the value of $x_{1}$ and $x_{2}$ .

so, there is no solution.

Multiply the equation (1) with 3 and put k is 6,

$3(3x_{1} -x_{2})=3\times2\\9x_{1} -3x_{2})=6$

it means both equations are overlapped. Then, the solution has infinite solutions.

Hence, the system has an infinite solutions at k is 6 otherwise for any value of k it has no solution.

4 0

3 years ago

HELP PLEASE I WOULD APPRECIATE IF SOMEONE HELPS PLEASE AND THANKS

RideAnS [48]

It's the last one. 15/2 is 7.5.

Therefore you must do the same to the 9. Divide 9 by 7.5 To give you 1.2 and that's your answer.

8 0

3 years ago

Which number could be placed in the blank to make the equation true? 6×5/6= ×1/6

yaroslaw [1]

30 is the answer
6*5\6 is 5
And 30 is needed to be multiplied y one to get five

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3 years ago

Geometry math question no Guessing and Please show work

Step2247 [10]

Scale factor is 3/2.4
3/2.4 = 1.25
Prove : 3/1.25 = 2.4
2.4(1.25) = 3

6 0

3 years ago

Read 2 more answers