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weeeeeb [17]
1 year ago
13

Use the Law of Sines to find each missing side or angle. Round to the nearest tenth.

Mathematics
1 answer:
Gre4nikov [31]1 year ago
5 0
(22 x sin(65))/sin(53) =24.96604654 rounded of to nearest tenth = 25
So X = 25
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alpha and beta are the zeros of the polynomial x^2 -(k +6)x +2(2k -1). Find the value of k if alpha + beta = 1/2 alpha beta(ITS
serious [3.7K]

Answer:

k=\frac{-11}{2}.

Step-by-step explanation:

We are given \alpha and \beta are zeros of the polynomial x^2-(k+6)x+2(2k-1).

We want to find the value of k if \alpha+\beta=\frac{1}{2}.

Lets use veita's formula.

By that formula we have the following equations:

\alpha+\beta=\frac{-(-(k+6))}{1}  (-b/a where the quadratic is ax^2+bx+c)

\alpha \cdot \beta=\frac{2(2k-1)}{1} (c/a)

Let's simplify those equations:

\alpha+\beta=k+6

\alpha \cdot \beta=4k-2

If \alpha+\beta=k+6 and \alpha+\beta=\frac{1}{2}, then k+6=\frac{1}{2}.

Let's solve this for k:

Subtract 6 on both sides:

k=\frac{1}{2}-6

Find a common denominator:

k=\frac{1}{2}-\frac{12}{2}

Simplify:

k=\frac{-11}{2}.

7 0
3 years ago
A text font fits 12 characters per inch. Using the same font, how many characters can be expected per yard of text?
Shkiper50 [21]
I<span>f an inch would fit 12 characters and 1 yard has 36 inches. then, a yard would fit 432 characters.

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7 0
4 years ago
What is the area of a triangle with a height of 14 feet and a base of 10 feet​
timama [110]

Answer:

Area is 70ft

Step-by-step explanation:

Area of a triangle is A=b × h/ 2 or A=1/2×bh

Let height equal h & base equal b

So,

h=14

b=10

Solve,

A=1/2×14×10

A=1/2×140

A=70

Therefore, the area is 70 feet

7 0
3 years ago
Read 2 more answers
What is the product of 3x+4 and 6x^{2} −5x+7?
LUCKY_DIMON [66]

(3x + 4)(6 {x}^{2}  - 5x + 7) \\  = 18 {x}^{3}  - 15 {x}^{2}  + 21x + 24 {x}^{2}  - 20x + 28 \\  = 18 {x}^{3}  + 9 {x}^{2}  + x + 28

I hope I helped you^_^

8 0
3 years ago
Multiplicative inverse of fraction 4/12
docker41 [41]

Answer:

12/4

hope it helps!

Step-by-step explanation:

A multiplicative inverse is a reciprocal... A reciprocal is one of a pair of numbers that when multiplied with another number equals the number 1.

So the inverse of 4/12 is 12/4

Because 4/12*12/4= 1

5 0
3 years ago
Read 2 more answers
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