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soldier1979 [14.2K]
2 years ago
11

What is the length of BC? Round to the nearest tenth.

Mathematics
1 answer:
Kay [80]2 years ago
6 0

Answer:

BC ≈ 14.5 cm

Step-by-step explanation:

Using the sine ratio in the right triangle

sin65° = \frac{opposite}{hypotenuse} = \frac{BC}{AB} = \frac{BC}{16} ( multiply both sides by 16 )

16 × sin65° = BC , then

BC ≈ 14.5 cm ( to the nearest tenth )

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The amount​ (in megawatts) of energy generated in a country from wind power can be modeled by the function ​W(t)equalsw0​(1.90​)
Ad libitum [116K]

Answer with Step-by-step explanation:

We are given that

W(t)=W_0(1.90)^t

Where t corresponds to the year 2000=0

a.W(0)=2540MW

Substitute the values

2540\times 10^6=W_0(1.90)^0=W_0

W_0=2540MW

b.In  2004

t=4

W(4)=2540(1.90)^4

W(4)=33101.534 MW

c.In 2013

t=13

W(13)=2540(1.9)^{13}=10.68\times 10^6MW

6 0
3 years ago
What are the solutions of -x^2+4x=x-4
Stolb23 [73]

Answer:

x = -1 and x = 4

Step-by-step explanation:

Step 1:  Get everything to one side of the equation so it's set equal to zero..

-x² + 4x = x - 4  becomes...

  -x² + 3x + 4 = 0        (subtract x and add 4 to both sides)

    x² - 3x - 4 = 0  (divide both sides by -1, we want the x² term to be positive)

   (x - 4)(x + 1) = 0          (factor)

      so

x - 4 = 0,    then x = 4

and

x + 1 = 0,   then x = -1  

8 0
3 years ago
What is the rational number equivalent to 3.24 repeating?
Lesechka [4]
3   24/99 is the mixed number
321/99 is the fraction
4 0
3 years ago
Read 2 more answers
A linear model is used to determine the amount owed on a loan of $5,000 with simple interest of 4.25%. The model is A = 5000 + 5
Nadya [2.5K]

Answer:

9.4

Step-by-step explanation:

Hey there!

The question is asking us to use the model to find how long it would take for the loan amount to reach 7,000

In order to answer this, we need to make 7,000 equal to the equation:

7000=5000+5000(0.0425t)

Subtract 5000 from both sides

2000=5000(0.0425t)

Now we simplify the RHS

2000 = 212.5t

Now you divide both sides by 212.5 to get t by itself

t=9.41

So it would take 9.4 months for the loan amount to reach 7000

4 0
2 years ago
If ∠A and ∠B are vertical angles, and ∠A = 98°, find ∠B.
Arturiano [62]
Answer:  [D]:  98°<span> .
______________________________________
Explanation:
______________________________________
Since vertical angles are congruent; 
and since </span><span>∠A and ∠B are vertical angles; 
 then:  m</span>∡A = m∡B .
______________________________________
So given:  m∡A = 98° ;  then m∡B = 98° .
______________________________________
4 0
2 years ago
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