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marshall27 [118]
3 years ago
7

50 points and brainist help!

Mathematics
2 answers:
Vedmedyk [2.9K]3 years ago
6 0

Answer:

x=20 and y=100

Step-by-step explanation:

Using vertical angles, angle 1 and 3 equal each other. Therefore, x=80/4. Then, by using the sum of angle 1 and 3, 160, and using vertical angles again, we can find angle 2, which is (360-160)/2.

PSYCHO15rus [73]3 years ago
6 0

Answer:

what he said ^-^

Step-by-step explanation:

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I only did the first part but maybe later I will solve the rest too. If there are any errors but tell me so I can update the pic.

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3 years ago
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Solve the following quadratic function<br> by utilizing the square root method.<br> y = 16 – x2
xxMikexx [17]

Answer:

The solutions are x = -4 and x = 4.

Step-by-step explanation:

Solving a quadratic equation:

We have to find x for which y = 0.

In this question:

y = 16 - x^2

So

16 - x^2 = 0

x^2 = 16

x = \pm \sqrt{16}

x = \pm 4

The solutions are x = -4 and x = 4.

3 0
3 years ago
Find the function r that satisfies the given condition. r'(t) = (e^t, sin t, sec^2 t): r(0) = (2, 2, 2) r(t) = ()
lesantik [10]

Answer:

r(t) = (e^t +1, -cos(t) + 3, tan(t) + 2)

Step-by-step explanation:

A primitive of e^t is e^t+c, since r(0) has 2 in its first cooridnate, then

e^0+c = 2

1+c = 2

c = 1

Thus, the first coordinate of r(t) is e^t + 1.

A primitive of sin(t) is -cos(t) + c (remember that the derivate of cos(t) is -sin(t)). SInce r(0) in its second coordinate is 2, then

-cos(0)+c = 2

-1+c = 2

c = 3

Therefore, in the second coordinate r(t) is equal to -cos(t)+3.

Now, lets see the last coordinate.

A primitive of sec²(t) is tan(t)+c (you can check this by derivating tan(t) = sin(t)/cos(t) using the divition rule and the property that cos²(t)+sin²(t) = 1 for all t). Since in its third coordinate r(0) is also 2, then we have that

2 = tan(0)+c = sin(0)/cos(0) + c = 0/1 + c = 0

Thus, c = 2

As a consecuence, the third coordinate of r(t) is tan(t) + 2.

As a result, r(t) = (e^t +1, -cos(t) + 3, tan(t) + 2).

6 0
3 years ago
A car is traveling at a speed of 79 feet per second. (a) what is its speed in kilometers per hour?
AysviL [449]
79 ft/s = 0.0240792 km/s

0.0240792 x 60 = 1.444752 km/minute
<span>1.444752 x 60 = </span><span>86.68512 km/hour
</span>
Ans: 86.69 km/h
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3 years ago
Roster Method.........
Natalija [7]

Answer:

The roster method is defined as a way to show the elements of a set by listing the elements inside of brackets. An example of the roster method is to write the set of numbers from 1 to 10 as {1,2,3,4,5,6,7,8,9 and 10}. An example of the roster method is to write the seasons as {summer, fall, winter and spring}.Step-by-step explanation:

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