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Viefleur [7K]
2 years ago
8

Find the length of side b below using Law of Sines. Give the exact value as an expression and an approximation to the nearest te

nth.

Mathematics
1 answer:
denis-greek [22]2 years ago
4 0

Answer:

b ≈ 7.8

Step-by-step explanation:

using the law of sines

∠ A = 180° - 105° - 40° = 180° - 145° = 35° , then

\frac{b}{sin40} = \frac{7}{sin35} ( cross- multiply )

b × sin35° = 7 × sin40° ( divide both sides by sin35° )

b = \frac{7sin40}{sin35} ≈ 7.8 ( to the nearest tenth )

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Factor completely 4x5 − 20x4 − 36x3.
lakkis [162]

Answer:

the 2nd one is the answer :)

8 0
3 years ago
Donnell and Maria are both members of a populationand a simple random sample is being conducted. If the chance of Donnell being
harina [27]

Answer:

289/290

Step-by-step explanation:

Given that the chance of Donnell being selected is 1/290

then P( Donnell being selected )= 1/290

Since Donnell and Maria are both member of a population.

from probability theorem which gives the likely hood of an event to happen which cannot be more than 1, then the probability of Donnell and Maria to be selected is 1

P(Donnell and Maria)= 1

But the chance of Donnell being selected is 1/290

Then,

1/290 + P(Maria)= 1

P(Maria)= 1-(1/290)

= 289/290

the chance of Maria being selected is 289/290

4 0
3 years ago
-8+(-4)+(-2)+(-1)+(-1/2)+.... what is the sum of the first 7 terms of the geometric series
likoan [24]
Your answer is 15.875

-8+(-4)+(-2)+(-1)+(-1/2)+(-1/4)+(-1/8)
you half the previous vaule to find the next value

8 0
3 years ago
Consider a computer that uses 6 bits to represent integers: 1 bit for the sign and 5 bits for the actual number. What's the larg
ycow [4]

Answer:

31

Step-by-step explanation:

Therefore, range of 5 bit unsigned binary number is from 0 to (25-1) which is equal from minimum value 0 (i.e., 00000) to maximum value 31 (i.e., 11111).

5 0
3 years ago
One factor of the polynomial 2x^3 - 3x^2 - 3x + 2 is ( x - 2 ). Which expression represents the other factor, or factors, of the
Georgia [21]

Answer:

Option (D)

Step-by-step explanation:

Given polynomial is,

2x³ - 3x² - 3x + 2

If (x - 2) is the factor of the given polynomial,

By synthetic division we can get the other factor.

2 |  2     -3       -3       2    

 

    <u>         4         2      -2          </u>

     2      1         -1        0

Therefore, other factor of the given polynomial is (2x² + x - 1)

Now (2x² + x - 1) = 2x² + 2x - x - 1

                           = 2x(x + 1) -1(x + 1)

                           = (2x - 1)(x + 1)

Therefore, factors of the given polynomial other than (x - 2) are (2x - 1) and (x + 1)

Option (D) will be the answer.

4 0
3 years ago
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