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aev [14]
3 years ago
6

Find the value of w and then x. Round lengths to the nearest tenth and angle measures to the nearest degree.

Mathematics
2 answers:
VARVARA [1.3K]3 years ago
4 0

Answer

w=7.6

x=43.7

Step-by-step explanation:

To solve for w you can use Sin(x)=\frac{Opposite}{Hypotenuse}  which would basically be Sin(50)=\frac{w}{10} then solve. Multiply the ten on both sides so you have 10*Sin(50)=w and your final answer is 7.6

To solve for x you can also use Sin(x)=\frac{7.6}{11} then just use Inverse of Sin^-1

The answer is x=43.7

valentina_108 [34]3 years ago
4 0

Answer:

Step-by-step explanation:

The diagram contains 2 right angle triangles.

To determine w, we would apply the the Sine trigonometric ratio. It is expressed as

Sin θ = opposite side/hypotenuse.

Hypotenuse = 10

Opposite side = w

Therefore

Sin 50 = w/10

w = 10Sin50 = 10 × 0.7660

w = 7.66

To determine angle x, we would also apply the sine trigonometric ratio. Therefore

Hypotenuse = 11

Opposite side = 7.66

Sin x = 7.66/11 = 0.6964

x = Sin^-1 (0.6964)

x = 41.1 degrees to the nearest tenth.

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inysia [295]

To find the answer of this question, you have to multiply 25.60*0.35, since 35% equals 0.35 and the original price of the sweater was 25.60. After you do this, you should get $8.96 as the amount of the discount.

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3 years ago
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Twice a number is equal to fourteen
Luba_88 [7]
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The distance d, in meters, that a rhinoceros runs in s seconds is represented by the equation d=16s. What is the constant of pro
castortr0y [4]
Time          Distance                Distance / Time
2hrs          90 miles                  90 miles / 2 hrs =  45 miles / hr
3hrs          135 miles                135 miles / 3 hrs =  45 miles / hr
5hrs          225 miles                 225 miles / 5 hrs =  45 miles / hr
6hrs          270 miles                  270 miles / 6 hrs =  45 miles / hr

Constant of proportionality is 45 miles / hr. This is the same for the four values. The unit rate is also 45 miles / hr.

Let us assume the Distance , d is directly proportional to Time, t
d α t
d = kt 
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3 0
3 years ago
Find m∠MON<br> I have a hard time with theses
fredd [130]

Answer:

m∠MON = 15°

Step-by-step explanation:

The given parameters are;

m∠LON = 77°

m∠LOM = 9·x + 44°

m∠MON = 6·x + 3°

By angle addition postulate, we have;

m∠LON = m∠LOM + m∠MON

Therefore, by substituting the known values, we have;

∴ 77° = 9·x + 44° + 6·x + 3°

77° = 9·x + 44° + 6·x + 3° = 15·x + 47°

77° = 15·x + 47°

77° - 47° = 15·x

15·x = 77° - 47° = 30°

15·x = 30°

x = 30°/15 = 2°

x = 2°

Given that m∠MON = 6·x + 3° and x = 2°, we have;

m∠MON = 6 × 2° + 3° = 12° + 3° = 15°

m∠MON = 15°.

3 0
3 years ago
What is the value of 3x^2 + 5x + 25 when x = 3
pshichka [43]

Answer:

Step-by-step explanation:

3x^2 + 5x + 25 when x = 3

= 3(3)^2 + 5(3) + 25

= 3(9) + 15 + 25

= 27 +15 + 25

= 67

6 0
3 years ago
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