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QveST [7]
3 years ago
8

Solve the following triangle completely.

Mathematics
1 answer:
RUDIKE [14]3 years ago
4 0

Answer:

The answers is below in bold.

Step-by-step explanation:

(a) A = 180 - 25.6 - 124.4 = 30 degrees.

Next use the Sine Rule:

b / sin B = c / sin C

b / sin 25.6 = 39.2/sin 124.4

b = (39.2 * sin 25.6) / sin 124.4

b = 20.53 m.

Also

a / sin A = c / sin C

a / sin 30 = 39.2 / sin 124.4

a =  (39.2 * sin 30 / sin 124.4

a = 23.75 m.

b). This is solved in a similar way to (a).

First find angle C  using the sine rule.

Then you will know angle A  from the 180 degree Rule.

Then you can find the length of  a using the Sine Rule.

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Researchers have found that after 25 years of age the average size of the pupil in a
laila [671]

Answer:

At 25 = 6.8612mm

At 50 years = 5.422mm

Step-by-step explanation:

Equation,

d = 2.115Logₑa + 13.669

d = diameter of the pupil

a = number of years

Note : Logₑa = In a (check logarithmic rule)

d = 2.115Ina + 13.669

1. At 25 years,

d = -2.115In25 + 13.669

d = -2.115 × 3.2188 + 13.669

d = -6.807762 + 13.669

d = 6.8612mm

At 25 years, the pupil shrinks by 6.86mm

2. At 50 years,

d = -2.1158In50 + 13.669

d = -2.1158 * 3.912 + 13.669

d = -8.2770 + 13.699

d = 5.422mm

At 50 years, the pupil shirks by 5.422mm

To save this question, I had to plug in the values into the equation.

Solving for Logₑa might be difficult, so instead I used Inx which is the same thing. Afterwards, i substituted in the values and solve the equation for each years.

8 0
3 years ago
Identify the pair of figures in which the second figure is a translation of the first figure​
Nadya [2.5K]

Answer:

The first pair of figures would be a translation.

Step-by-step explanation:

A translation is a transformation that involves the shift or slide of a figure in the coordinate plane.  This movement will only be either horizontal, vertical or a combination of both.  The second and third set of figures given include not only a shift, but a reflection and rotation as well.  The only set of figures that has been moved horizontally and/or vertically is the first set.

8 0
3 years ago
Sorry if its blurry im on my laptop
Kamila [148]

Answer:

Step-by-step explanation:

1 in=2 ft

Bedroom 1

scale

17.5 in ×12.5in

actual

(17.5×2)×(12.5×2)

or

35 ft×25 ft

Living Room

scale

17.5 in×17.5 in

actual

35 ft×35 ft

Bathroom 1

scale

12.5 in×12.5 in

actual

25 ft×25 ft

Kitchen

scale

17.5 in ×12.5 in

actual

35 ft×35 ft

Bedroom2

scale

12.5 in ×12.5 in

actual

25 ft×25 ft

Entryway

scale

12.5 in×12.5 in

actual

25 ft×25 ft

Bathroom 2

scale

12.5 in×5 in

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25 ft×10 ft

6 0
3 years ago
Find the value of x. Give your answer in simplest radical form.
VARVARA [1.3K]
X²+7²=(x+1)²
x²+49=x²+2x+1
49=2x+1
48=2x
x=24
Hope this helps!
3 0
3 years ago
Can someone answer this for me :)
Darya [45]

Answer:

y = -2x + 3

Step-by-step explanation:

y = mx + b

slope = m

m = y2 - y1/x2 - x1

-3 - 3/3 - 0 = -6/3

m = -2

y = -2x + b

b = y-intercept

b = 3

y = -2x + 3

3 0
3 years ago
Read 2 more answers
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