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AfilCa [17]
2 years ago
9

Please help I don't undestand

Mathematics
1 answer:
Alla [95]2 years ago
3 0

By applying the law of sines and some algebraic handling, the length of the side LJ is approximately equal to 3.517 units. (Right choice: D)

<h3>What is the missing side of the triangle according to the law of sines?</h3>

The law of sines presents a relationship between sides and <em>opposite</em> angles, which is described below:

9/sin 89° = LJ/sin 23°     (1)

LJ = 9 × sin 23°/sin 89°

LJ ≈ 3.517

By applying the law of sines and some algebraic handling, the length of the side LJ is approximately equal to 3.517 units. (Right choice: D)

To learn more on law of sines: brainly.com/question/21634338

#SPJ1

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a park is 9/10 mile long and 4/5 mile wide. What is the area of the park? ENTER ANSWER AS A FRACTION FOR EXAMPLE: 4/10.​
ASHA 777 [7]

The park formed like a rectangle so :

Area = length × width

Area = ( 9/10 ) × ( 4/5 )

Area = 9 × 4 / 10 × 5

Area = 9 × 2 × 2 / 5 × 5 × 2

Area = 18 / 25

3 0
2 years ago
Find the x- and y- intercepts if the line that passes through the given points (-6,-6),(4,-2).
Paul [167]

Answer:

The x-intercept would be 9 and the y-intercept would be -18/5

Step-by-step explanation:

In order to find this we need to first find the slope. To do that we use the two points and the slope equation.

m (slope) = (y2 - y1)/(x2 - x1)

m = (-2 - -6)/(4 - -6)

m = 4/10

m = 2/5

Now that we have the slope, we can use that and either point to find the equation of the line in standard form.

y - y1 = m(x - x1)

y + 6 = 2/5(x + 6)

y + 6 = 2/5x + 12/5

-2/5x + y + 6 = 12/5

-2/5x + y = -18/5

-2x + 5y = -18

Now that we have this, we can find the intercepts through using 0s. First, we put a zero in for y to find the x intercept.

-2x + 5y = -18

-2x + 5(0) = -18

-2x = -18

x = 9

Therefore the x intercept is 9.

We find the y-intercept by doing the opposite. We put a 0 in for x.

-2x + 5y = -18

-2(0) + 5y = -18

5y = -18

y = -18/5

5 0
3 years ago
Read 2 more answers
write the equation of a line that passes through the points (5, -7) and is perpendicular to the line -2x + 6y = -4
VashaNatasha [74]

Answer:

y= -3x + 8

Step-by-step explanation:

Put -2x + 6y = -4 into slope-interceltp form

Take the negative reciprocal of the slope.

Use this reciprocal in point-slope form

and you have,

= y= -3x + 8

<em>(EDITED)</em> Steps:

2x+6y = -4

6y=2x - 4

y= 1/3x + 2/3

if two lines are perpendicular,

m1 * m2 + -1

1/3 * m2 = -1

m2 = -3

the line perpendicular to this line is

y = -3x + k ; k ∈ R

the line passes through the point (5,-7)

so,

-7 = -3. (5) +k

-7 = -15 + k

k = 8

∴the equation of a line that passes through the point (5,-7) and is perpendicular to the line -2x+6y=-4 is

y= -3x + 8

Hope this helps, have a nice day/night! :D

6 0
2 years ago
Hello could someone answer this? Thank you!
Fittoniya [83]

Step-by-step explanation:

m arc AD = (2×108) - 142 = 216-142= 74°

m<A = 180-108= 72°

7 0
3 years ago
In a rectangle KLMN, KM = 6x + 16 and LN = 49. find the value of x
RoseWind [281]

Answer:

5.5

Step-by-step explanation:

in a rectangle, opp. sides are equal,

∴, KM=LN

∴, 6x+16=49

6x = 33

x = 5.5


5 0
3 years ago
Read 2 more answers
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