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SCORPION-xisa [38]
4 years ago
5

The moon forms a right triangle with the Earth and the Sun during one of its phases, as shown below:

Mathematics
1 answer:
earnstyle [38]4 years ago
7 0
He uses sin(x):

sinx = opposite side/hypotenuse = y/ (distance eath-sun)

Since x is known and y is known, then:

Distance earth-sun = y/sinx 
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What is the perimeter of triangle ABC round each step by the nearest 10th see image. Thanks so much
Greeley [361]

Perimeter of the triangle ABC is 18.7 units.

Coordinate of the point A is (4, -1), B is (-1, 4) and C is (0, -3).

Length of the side AB = \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}

AB = \sqrt{(-1-4)^{2}+(4+1)^{2}} =\sqrt{50}

AB = 7.07 units = 7.1 units ( rounded to the nearest 10th)

Length of the side BC = \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}

BC = \sqrt{(0+1)^{2}+(-3-4)^{2}}

BC = \sqrt{50}

BC = 7.07 units = 7.1 units ( rounded to the nearest 10th)

Length of the side CA =\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}

CA = \sqrt{(4-0)^{2}+(-1+3)^{2}}

CA = \sqrt{20}

CA = 4.47 units = 4.5 ( rounded to the nearest 10th)

Perimeter of the triangle ABC = sum of all three sides = (7.1 + 7.1 + 4.5) units = 18.7 units  

5 0
3 years ago
Gabi tried to solve an equation step by step.
Mkey [24]

Answer:

didn’t make a mistake

Step-by-step explanation:

8 0
4 years ago
A federal lobbyist wishes to survey residents of a certain congressional district to see what proportion of the electorate is aw
horrorfan [7]

Answer:

a. 385

b. 342

Step-by-step explanation:

To solve the problem we do the following:

The equation to calculate the sample size is:

n = (p)(q)(\frac{z}{E})^2

a)

We have the following data:

Since no estimate of proportion is given, we will assume: p = q = 0.5

We know that For 95% confidence, z = 1.96

Width = 0.10

Hence, the margin of error would be:

0.10 / 2 = 0.05

E = 0.05

And so we can calculate sample size:

n = (0.5)(0.5)(\frac{1.96}{0.05})^2

n = 385  

b)

We have the following data for this point:

p = 2/3

q = 1 - p

q = 1 - 2/3

q = 1/3

And so we can calculate sample size:

n = (2/3)(1/3)(\frac{1.96}{0.05})^2

n = 342

4 0
3 years ago
. a) Divide Rs 84 in 1:2 ratio.​
Margarita [4]

Answer:

total ratio 1+2 = 3

1/3 × 84

= 28

1/2× 84

= 42

5 0
3 years ago
Is this relationship proportional why or why not?
taurus [48]

Answer:

no

Step-by-step explanation:

to be proportional, every step of 1 in the upper row, must equal an equal step in the lower row.

from 1 to 2: +15

from 2 to 3: +18

not the same so not proportional

3 0
3 years ago
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