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hichkok12 [17]
3 years ago
8

The line has been partitioned into three angles. Is there a triangle with these three angle measures?​

Mathematics
1 answer:
nexus9112 [7]3 years ago
3 0
La curva de 120 grados
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A small plane and a large plane are 6.8km from each other, at the same altitude (height). From an observation tower, the two air
Lemur [1.5K]

Answer:

7.9km

Step-by-step explanation:

(a)See attached for the diagram representing this situation.

(b)

In Triangle ABC

\text{Using Law of Sines}\\\dfrac{\sin A}{a}=\dfrac{\sin C}{c} \\\dfrac{\sin A}{5.2}=\dfrac{\sin 58^\circ}{6.8} \\\sin A=5.2 \times \dfrac{\sin 58^\circ}{6.8}\\A=\arcsin (5.2 \times \dfrac{\sin 58^\circ}{6.8})\\A=40.43^\circ

Next, we determine the value of Angle B.

\angle A+\angle B+\angle C=180^\circ\\40.43+58+\angle B=180^\circ\\\angle B=180^\circ-(40.43+58)\\\angle B=81.57^\circ

Finally, we find b.

\text{Using Law of SInes}\\\dfrac{b}{\sin B}=\dfrac{c}{\sin C} \\\dfrac{b}{\sin 81.57^\circ}=\dfrac{6.8}{\sin 58^\circ} \\b=\dfrac{6.8}{\sin 58^\circ} \times \sin 81.57^\circ\\b=7.9km $ (to the nearest tenth of a kilometer)

The distance between the small plane and the observation tower is 7.9km.

8 0
4 years ago
Maria has a cell phone and she gets charged for data each month. She is
aliina [53]
If it costs $12.5 for every GB and we use 8 then 12.5*8=$100. So if our flat rate now is $70 we would loose 100-70=$30

So Maria would loose $30 a month if she pays per GB
7 0
3 years ago
Criminal investigators use biometric matching for fingerprint recognition, facial recognition, and iris recognition. When matchi
Art [367]

Answer:

It is not a Type I error neither a Type II error.

Step-by-step explanation:

Let \mu be the true mean match score. The null hypothesis is H_{0}: \mu = 80 and the alternative hypothesis is H_{1}: \mu > 80 (upper-tail alternative). When the test shows that the mean match score is more than 80 when actually is equal to 80 a Type I error is made. On the other hand, when the test shows that the mean match score is equal to 80 when actually is more than 80 a type II error is made. Therefore, when the test shows that the mean match score is more than 80 when the person does not actually have a fingerprint match, does not correspond to a Type I error neither to a Type II error.

6 0
3 years ago
HELP ME PLZZZ!!! Solve for x. Show each step of the solution. 4.5(4 − x) + 36 = 202 − 2.5(3 + 28)
Veronika [31]
4.5{4_x}+36=202-2.5{3+28}
you first multiply 4.5 and the numbers in the bracket.
4.5*4=18
4.5*x=4.5x
you will obtain 18-4.5x=202_2.5{3+28}
2.5*3=7.5 2.5*28=70
18_4.5x=202_7.5_70
18_4.5x=124.5_18
-4.5x=106.5
x=23.67
5 0
3 years ago
Figure will be rotated 90° clockwise around the point (2, -2), then reflected over the -axis in order to create Figure .Will the
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Answer:

used ckmgtdctstrrerwy45ykehrakut

7 0
3 years ago
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