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Lina20 [59]
2 years ago
6

1. Find the missing lengths of the sides.

Mathematics
1 answer:
Lostsunrise [7]2 years ago
3 0

Answer: B

Step-by-step explanation:

Since this is a 30-60-90 triangle, b=8(sqrt3) = 8sqrt3.

By the same logic, c=8(2)=16.

You might be interested in
A share of ABC stock was worth $70 in 2011 and only
Bezzdna [24]

Answer:

5v + 32y = 350

Step-by-step explanation:

Let, the year counting starts in 2011 and represented by y.

So, the share of ABC stock value was $70 at y = 0. And in the year 2016 i.e. y = (2016 - 2011) = 5, the share worth $38.

If there is a linear relationship between the number of years since 2011 i.e. y and the value of the share of ABC stock i.e. v, then we can write the equation of this situation as

\frac{v - 70}{70 - 38} = \frac{y - 0}{0 - 5}

⇒ 5v - 350 = - 32y

⇒ 5v + 32y = 350 (Answer)

6 0
3 years ago
What is the factorization of the polynomial below?<br><br> x^3-4x^2+45x
Mashutka [201]
The method of factorization is used to find the roots of a given polynomial. Roots are the solutions of the function. Graphically, these roots are where the curve passes the x-axis. The first step to do is to find the common factor of the equation. That would be x. So you place it outside of the parenthesis.

x³-4x²+45x = x(x² - 4x + 45)

If you solve the quadratic equation inside the parenthesis using the quadratic formula, the roots are imaginary. Therefore, the quadratic equation is already a prime polynomial. 

The final answer is x(x² - 4x + 45).
3 0
4 years ago
Read 2 more answers
Combine like terms and simplify the expression. 2 (x+ 2Y - 6)
Sloan [31]

Answer:

2x+4y-12

Step-by-step explanation:

2x+4y-12

6 0
3 years ago
Read 2 more answers
1. In how many ways can a committee of eight people to be formed from a group of 6 male, 5 female and 4 students if there are no
NeX [460]

Answer:

The number of ways is 6435

Step-by-step explanation:

Given

Male = 6

Female = 5

Students = 4

Required

Number of ways a group of 8 can be formed

Here, I'll assume each category of people are distinct:

Hence;

Total = Male + Female + Students

Total = 6 + 5 + 4

Total = 15

Number of ways is then calculated as follows:

^nC_r = \frac{n!}{(n - r)!r!}

Where

n = 15\ and\ r = 8

So, we have:

^{15}C_8 = \frac{15!}{(15 - 8)!8!}

^{15}C_8 = \frac{15!}{7! * 8!}

^{15}C_8 = \frac{15 * 14 * 13 * 12 * 11 * 10 * 9 * 8!}{7!8!}

^{15}C_8 = \frac{15 * 14 * 13 * 12 * 11 * 10 * 9}{7!}

^{15}C_8 = \frac{15 * 14 * 13 * 12 * 11 * 10 * 9}{7 * 6 *5 * 4 * 3 * 2 * 1}

^{15}C_8 = \frac{32432400}{5040}

^{15}C_8 = 6435

<em>Hence, the number of ways is 6435</em>

7 0
3 years ago
A model house is 12 cm wide. If it was built with a scale of 3 cm: 4m then how wide is the real house
Paladinen [302]
Then it would be 16 meters wide.. 12 divided by 3 is 4, so 4x4 is 16 which would be the width of the real house.
4 0
4 years ago
Read 2 more answers
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