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2 years ago

I need help for this, thanks

Mathematics

1 answer:

gulaghasi [49]2 years ago

5 0

(a) Yes all six trig functions exist for this point in quadrant III. The only time you'll run into problems is when either x = 0 or y = 0, due to division by zero errors. For instance, if x = 0, then tan(t) = sin(t)/cos(t) will have cos(t) = 0, as x = cos(t). you cannot have zero in the denominator. Since neither coordinate is zero, we don't have such problems.

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(b) The following functions are positive in quadrant III:

tangent, cotangent

The following functions are negative in quadrant III

cosine, sine, secant, cosecant

A short explanation is that x = cos(t) and y = sin(t). The x and y coordinates are negative in quadrant III, so both sine and cosine are negative. Their reciprocal functions secant and cosecant are negative here as well. Combining sine and cosine to get tan = sin/cos, we see that the negatives cancel which is why tangent is positive here. Cotangent is also positive for similar reasons.

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Find pb, if pj=14 and jb= 28

anyanavicka [17]

Answer:

Step-by-step explanation:

Based on the information given, point j is the midpoint, as it is shared by both line segments. Set the equation:

pb = pj + jb

Note:

pj = 14

jb = 28

Plug in the corresponding numbers to the corresponding variables:

pb = pj + jb

pb = 14 + 28

pb = 42

pb = 42 is your answer.

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2 years ago

Read 2 more answers

suppose andrew slept for eight hours one night. Ten percent of his sleep hours were before mignight. What.time did andrew go to

m_a_m_a [10]

Answer: 11:12 PM.
explanation:
- 10% of 8 is 0.8. (10% is 0.1, and you multiply this by 8)
- multiply 0.8 by 60 so you can get the number of minutes before midnight (this is 48).
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2 years ago

What is the solution to<br><br> −(6m+8) =4(17−m)

Sedbober [7]

Answer:

$\boxed{m = -38}$

Step-by-step explanation:

$-(6m+8) =4(17-m)$

→ Expand brackets

$-6m-8=68-4m$

→ Add 8 to both sides to collect the whole numbers

$-6m = 76-4m$

→ Add -4m to both sides to collect the m terms

$-2m=76$

→ Divide both sides by -10 to isolate m

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2 years ago

Which type of triangle is formed with the points A(1, 7), B(-2, 2), and C(4, 2) as its vertices?

Dafna1 [17]

We will have to use the distance formula in order to determine the lengths of each side of the triangle.

Distance formula: $\sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2} }$

Let's calculate AB first:
A (1, 7) and B (-2, 2)
A: x1 = 1 and y1 = 7
B: x2 = -2 and y2 = 2

so
$\sqrt{(-2 - 1)^{2} + (2 - 7)^{2} }$
$\sqrt{(-3)^{2} + (-5)^{2} }$
$\sqrt{9 + 25 }$
AB = $\sqrt{34}$ or (rounded to the nearest tenth) ≈ 5.8

Now let's do BC:
B: x1 = -2 and y1 = 2
C: x2 = 4 and y2 = 2

So
$\sqrt{(4 - -2)^{2} + (2 - 2)^{2} }$
$\sqrt{(6)^{2} + (0)^{2} }$
BC = $\sqrt{36 }$ or 6

Now let's do CA
C: x1 = 4 and y1 = 2
A: x2 = 1 and y2 = 7

So
$\sqrt{(1 - 4)^{2} + (7 - 2)^{2} }$
$\sqrt{(-3)^{2} + (5)^{2} }$
$\sqrt{9 + 25}$
CA = $\sqrt{34}$ or (rounded to the nearest tenth) ≈ 5.8

So let's recap:

AB ≈ 5.8
BC = 6
CA ≈ 5.8

So AB and AC are the same length while BC is .2 units longer which means this is an isosceles triangle.

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2 years ago

Lines m, l, and n are cut by transversal t. At the intersection of lines m and t, the uppercase left angle is angle 1 and the up

KengaRu [80]

Answer:

Which lines, if any, are parallel?

✔ m and n

What justifies your answer?

✔ converse of same side interior angle theorem

Step-by-step explanation:

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2 years ago