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Simora [160]
3 years ago
10

PLS HALP I'm stuck on number 31

Mathematics
1 answer:
Marta_Voda [28]3 years ago
8 0
There are 2 possibilities for where A can be: one where C is 30° (and A is 60°) and another where C is 60° (and A is 30°). Since it's not specified, we can find both.

30°:
drawing the triangle on a graph, you can see that point C is 4 units above point B, so we know that one side of the triangle is 4. Once we find the other "leg" of the triangle (the one that's parallel to the x-axis), we can just add that value to B to find the x coordinate of A.
If angle C is 30°, using the side ratios of a 30-60-90 triangle, that side is "a√3", and the side we're looking for is a. So, to find a, we just divide 4 by √3. In that case, point A is 4/(√3) units to the right of -2√3. We can rationalize 4/(√3) like this:

(4√3)/3

and then add that to 2√3:

(4√3)/3 + -2√3

(4√3)/3 + (-6√3)/3 = (-2√3)/3

We know that the x-coordinate of A is (-2√3)/3, and the y-coordinate is -1 because B is a right angle and we're just moving horizontally. So, if C is 30° and A is 60°, point A is at ((-2√3)/3, -1).

60°:
in this case, the leg we know is "a" and the leg we're looking for is "a√3". So, we can multiply 4 by √3 to get the distance from B:

4 x √3 = 4√3

4√3 + -2√3 = 2√3

So the x-coordinate of A here is 2√3, and the y-coordinate is still -1: (2√3, -1).

hope that helps! if you liked this answer please rate it as brainliest!! thank you!!!

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Answer:

Step-by-step explanation:

1 km= 1000 m

1 dam= 10 m

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700 dam = 7000m

so Plane A

plane A is higher by 700m!

hope it helped!

3 0
3 years ago
Find the sum of the first 8 terms of the sequence: -5. 15, -45, 135, .......
MakcuM [25]
Sum of geometric sequence

for the sum where the initial value is a₁ and the common ratio is r and the term is n

S_n= \frac{a_1(1-r^n)}{1-r}

common ratio is -3
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first term is -5
and we want the 8th term

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S_8= \frac{-5(1-6561)}{1+3}
S_8= \frac{-5(-6560)}{4}
S_8= \frac{32800}{4}
S_8= 8200


the sum is 8200
7 0
3 years ago
You work for a city department which is hosting a 5 kilometer run. Your coworker measured the course and doing that it is only 4
MAVERICK [17]

Answer:

820 feet

Step-by-step explanation:

We can use the rule of three in this scenario since this is a ratio problem with one unknown. To do this we simply multiply the diagonal values and divide by the final value. We know that there are a total of 3280.84 ft in a single kilometer, therefore...

1 km  ==  3280.84 ft

0.25 == x

(0.25 * 3280.84) / 1 = 820.21

Now we can see that there are 820.21 ft in the 0.25 kilometers. If we round this to the nearest foot we would round down to a total of 820 feet.

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