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zalisa [80]
2 years ago
10

Use the diagram to answer each of the following questions.

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

The value of w given that k is 15 is 30

<h3>Sum of vectors</h3>

From the given diagram, the sum of the two vectors moving in the same direction is equal to the vector moving in the opposite direction.

  • The sum of vectors in similar directions = -k% - k%
  • The sum of vectors in similar directions = -2k%

Equating this to -w%

-2k% = -w%

-2k = -w

w = 2k

If  k = `5

w = 2(15)

w = 30

Hence the value of w given that k is 15 is 30

Learn more on sum of vectors here: brainly.com/question/2927458

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SinA=√1-x÷√1+X<br> Find the value of cosA
Irina-Kira [14]

The value of cos A is √(1 + x²)/ (1 - x²) /√1 + x

<h3>Trigonometric ratios</h3>

It is important to note that

sin A = opposite/ hypotenuse

cos A = adjacent/ hypotenuse

Then,

opposite = \sqrt{1} - x

Hypotenuse = \sqrt{1} + x

Let's find the adjacent side using the Pythagorean theroem

(\sqrt{1} + x)^2 = (\sqrt{1 -x } )^2 + x^2

1 + x^2 = 1 - x^2 + x^2

x = \sqrt{\frac{1 + x^2}{1 -x^2} }

cos A = x/hypotenuse

cos A = \frac{\sqrt{\frac{1+x^2}{1 -x^2} } }{\sqrt{1} +x}

cos A = √(1 + x²)/ (1 - x²) /√1 + x

Thus, the value of cos A is √(1 + x²)/ (1 - x²) /√1 + x

Learn more about trigonometric identities here:

brainly.com/question/7331447

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6 0
1 year ago
a parallelogram has a base of 9 units and an area of 12 square units. what is the corresponding height for the base
Triss [41]

Answer:

1 1/3

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Three added to 4 times a number is equal to 5 less than 6 times the number. What is the number?
kifflom [539]
4x+3=6x-5
3=2x-5
8=2x
4=x
5 0
2 years ago
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Kellan’s lemonade recipe uses 4 scoops of lemonade powder for every 2.5 cups of water. Kellan uses 10 scoops of lemonade powder
Rina8888 [55]

Answer:

6.25 cups of water

Step-by-step explanation:

So I first write out the rates: 4:2.5 and also 10:?

So let's find out how the scoops changed, as in how did you get 4 to become 10 so you can do the same thing to 2.5 and get ?.

To go from 4 to 10 you MULTIPLY/DIVIDE. DON'T ADD OR SUBTRACT. 10 divided by 4 (to see what you multiplied by) is 2.5.

So we multiplied 4 by 2.5 to get 10. So if we multiply 2.5 by 2.5 we get 6.25.

So 4:2.5  =  10:6.25  

?=6.25

Hope this helps!

3 0
2 years ago
Tyrel And Diego are playing basketball. Together they scored 45 points.Tyrel scored two times as many points as Diego. How many
pshichka [43]

Answer:

Tyrel scored 30 and Diego scored 15

Step-by-step explanation:

This is because the ratio of the score is 2:1  (Tyrel : Diego)

and if you add that together you get 3

which means you have to divide 45 by 3 which gives you 15

and this means I part = 15

so with the ratio 2:1 you have to multiply 15 by each ratio

so 15 x 2 = 30 and 15 x 1 = 15

which gives you 30 and 15

3 0
3 years ago
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