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Yanka [14]
3 years ago
12

C. Tan k=31/24 D. Cos k= 31/24

Mathematics
1 answer:
lubasha [3.4K]3 years ago
7 0

Hello!

The sin of D would be the opposite side divided by the hypotenuse. As we have no hypotenuse length, neither A or D would work, as the cosine also involves the hypotenuse.

The tangent is the opposite divided by the adjacent. This would be, in terms of D, 24/31. This does not match our option.

In terms of K, the tangent is 31/24.

Therefore, our answer is C) tanK= 31/24

I hope this helps!

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Eunique scores 20 points during the game. This is eleven more than three-fifths of the points she scored in previous game. How m
Ket [755]

Answer:

Step-by-step explanation:

If we call the points she scored in the last game x, we can actually write out an equation to describe what is being said.  20=11+(3/5)x.  Hopefully that makes sense.  3/5 of the previous score plus 11 is 20.  Anyway, you can just solve this algebraic expression for x.

20=11+(3/5)x subtract 11 from both sides

9 = 3/5 x Multiply both sides by 5

45 = 3x then divide both sides by 3

15 = x And there you go.  

6 0
3 years ago
What is the area of this polygon?
STatiana [176]
You can divide the polygon into a triangle (VMR) and rectangle(VEDR)
VE=5
VR=6
The area for VEDR would be:
area= VE*VR= 5*6= 30

triangle height=3
VR=6
The area for VMR
area= 1/2 * 3 * 6= 9

Total area= 30 + 9 = 39
5 0
2 years ago
Find the payment necessary to amortize a 6.3% loan of 7500 compounded semiannually, with 6 semiannual payments. Find the payment
Lorico [155]

Answer:

Semiannual payment = $ 1391.37

Total payment = $ 8348.22

Interest paid =  $ 848.22

Step-by-step explanation:

Since, the semiannual payment formula of a loan,

P=\frac{PV(\frac{r}{2})}{1-(1+\frac{r}{2})^{-n}}

Where,

PV = present value of the loan,

n = number of semiannual payments,

r = annual rate,

Here, PV = 7500, r = 6.3% =0.063, n = 6,

By substituting the value,

The semiannual payment would be,

P=\frac{7500(\frac{0.063}{2})}{1-(1+\frac{0.063}{2})^{-6}}

\approx \$ 1391.37

Also, total payment = semiannual payment × total semiannual periods

= 1391.37 × 6

= $ 8348.22,

Also, the interest paid = total payment - present value

= 8348.22 - 7500

= $ 848.22

6 0
3 years ago
QUICK!!!
Svetlanka [38]

Answer:

Option B is the right choice.

Step-by-step explanation:

Given:

An are CE and an inscribed angle CBE.

Measure of inscribed angle CBE = 25 °

We have to find the measure of the arc CE.

Concept:

  • An inscribed angle is an angle with its vertex on the circle.
  • The measure of an inscribed angle is half the measure the intercepted arc.
  • Measure of inscribed angle = 1/2 × measure of intercepted arc .

To find the measure of arc CE.

⇒ \angle CBE = \frac{1}{2} \times m\ (arc\ CE)

⇒ 2\times \angle CBE = m\ (arc\ CE)

⇒ 2\times 25 = m\ (arc\ CE)

⇒ 50 = m\ (arc\ CE)

Measure of intercepted arc CE = 50 degrees.

The measure of arc CE = 50° so, option B is the right choice.

4 0
3 years ago
Solution of 4y - 2x &lt; 8<br><br>a. (0,2)<br>b. (-4,0)<br>c. (1,2)<br>d. (10,7)​
Nadusha1986 [10]

Answer:

A

Step-by-step explanation:

5 0
2 years ago
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