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masya89 [10]
3 years ago
15

What is the value of x?

Mathematics
2 answers:
lara31 [8.8K]3 years ago
5 0

Hello from MrBillDoesMath!

Answer:

x = 12

Discussion:

From the diagram, the two triangles appear to be similiar. Then

28/7 =  (6x + 28)  /25

as the ratio of corresponding parts of similar triangle are  the same.

28/7 = (6x +28)/25           => simplify. 28/7 = 4

4 = (6x + 28)/25                => multiply both sides by 25

4*25 = 6x + 28                  => simplify, 4 * 25 = 100

100 = 6x + 28                    => subtract 28 from both sides

100 -28 = 6x                      => simplify. 100 - 28 - 72

72 = 6x                               => divide both sides by 6

72/6 = 12 = x

Thank you,

MrB

zzz [600]3 years ago
4 0
12 is the x value . To this problem
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The perimeter of a rectangular field is 372 yards. If the width of the field is 87 yards, what is its length?__yards
worty [1.4K]

ANSWER

The length of the rectangular field is 99 yards

EXPLANATION

Given information

The perimeter of a rectangle field is 372 yards

The width of the field is 87 yards

To find the length of the rectangular field, follow the steps below

Step 1: Write the formula for finding the perimeter of a rectangular field

\begin{gathered} \text{ The perimeter of a rectangular field = 2\lparen l + w\rparen} \\ \text{ where l =length, and w = width} \end{gathered}

Step 2: Substitute the given data into the formula in step 1

\begin{gathered} \text{ Perimeter = 2 \lparen l + w\rparen} \\ \text{ Perimeter = 372 yards} \\ \text{ width = 87 yards} \\ \text{  372 = 2\lparen l + 87\rparen} \\ \text{ Divide both sides by 2} \\ \text{ }\frac{372}{2}\text{ = }\frac{2}{2}(l\text{ + 87\rparen} \\ 186\text{ = l + 87} \\ \text{  subtract 87 from each sides of the equation} \\ \text{ 186 - 87 = l + 87 - 87} \\ \text{  99 = l} \\ l\text{ = 99 yards} \end{gathered}

Hence, the length of the rectangular field is 99 yards

7 0
1 year ago
Which scatter plot would have a trend line with a negative y-intercept
bazaltina [42]

Answer:

Only Graph D

Step-by-step explanation:

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Answer:

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7 0
3 years ago
Read 2 more answers
X<br> 8<br> 17<br> Find the exact value of x.<br> X=
Furkat [3]

Answer:

621

629

Step-by-step explanation:

We know that

sin

(

x

+

y

)

=

sin

x

cos

y

+

sin

y

cos

x

If

cos

x

=

8

17

and

sin

y

=

12

37

We can use,

cos

2

x

+

sin

2

x

=

1

and

cos

2

y

+

sin

2

y

=

1

To calculate

sin

x

and

cos

y

sin

2

x

=

1

−

cos

2

x

=

1

−

(

8

17

)

2

=

225

17

2

sin

x

=

15

17

cos

2

y

=

1

−

sin

2

y

=

1

−

(

12

37

)

2

=

1225

37

2

cos

y

=

35

37

so,

sin

(

x

+

y

)

=

15

17

⋅

35

37

+

12

37

⋅

8

17

=

621

629

Answer link

Shwetank Mauria

Nov 22, 2016

sin

(

x

+

y

)

=

621

629

or

−

429

629

depending on the quadrant in which sine and cosine lie.

Explanation:

Before we commence further, it may be mentioned that as

cos

x

=

8

17

,

x

is in

Q

1

or

Q

4

i.e.

sin

x

could be positive or negative and as

sin

y

=

12

37

,

y

is in

Q

1

or

Q

2

i.e.

cos

y

could be positive or negative.

Hence four combinations for

(

x

+

y

)

are there and for

sin

(

x

+

y

)

=

sin

x

cos

y

+

cos

x

sin

y

, there are four possibilities.

Now as

cos

x

=

8

17

,

sin

x

=

√

1

−

(

8

17

)

2

=

√

1

−

64

289

=

√

225

289

=

±

15

17

and

as

sin

y

=

12

37

,

cos

y

=

√

1

−

(

12

37

)

2

=

√

1

−

144

1369

=

√

1225

1369

=

±

35

37

Hence,

(1) when

x

and

y

are in

Q

1

sin

(

x

+

y

)

=

15

17

×

35

37

+

8

17

×

12

37

=

525

+

96

629

=

621

629

(2) when

x

is in

Q

1

and

y

is in

Q

2

sin

(

x

+

y

)

=

15

17

×

−

35

37

+

8

17

×

12

37

=

−

525

+

96

629

=

−

429

629

(3) when

x

is in

Q

4

and

y

is in

Q

2

sin

(

x

+

y

)

=

−

15

17

×

−

35

37

+

8

17

×

12

37

=

525

+

96

629

=

621

629

(4) when

x

is in

Q

4

and

y

is in

Q

1

sin

(

x

+

y

)

=

−

15

17

×

35

37

+

8

17

×

12

37

=

−

525

+

96

629

=

−

429

629

Hence,

sin

(

x

+

y

)

=

621

629

or

−

429

629

7 0
3 years ago
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