All categories

3 years ago

What ratio is equivalent to 4 : 13? A. 8 : 17 B. 16 : 52 C. 12 : 33 D. 20 : 55

1 answer:

8 0

The answer would be b . i know this because if you multiply 4 and 13 by 4 you would get 16 and 52 , so the ration 16 : 52 is equivalent to the ration 4 : 13 .

You might be interested in

Suppose a triangle has two sides of length 33 amd 37, and that the angle between these two sides is 120°. What is the length of

jeka57 [31]

Answer:

c = 60.65 cm

Step-by-step explanation:

Given that,

The two sides of a triangle are 33 cm and 37 cm.

The angle between these two sides is 120°.

We need to find the length of the third side of the triangle. Let c is the third side. Using cosine rule,

$c^2=a^2+b^2-2ab\cos C$

a = 33 cm, b = 37 cm and C is 120°

So,

$c^2=(33)^2+(37)^2-2\times 33\times 37\cos (120)\\\\c=60.65\ cm$

So, the length of the third side of the triangle is 60.65 cm.

7 0

3 years ago

Write and solve the following expression:<br><br>The sum of 7 and twice a number is 15

Nastasia [14]

Answer:

It would be 7 + 2x = 15

8 0

3 years ago

Please help!! And btw the little mark by number 6 isn’t a negative, it’s an eraser shaving

____ [38]

For these u can use a caculator for all pretty much.

5 0

3 years ago

What is the value of y in the equation 4 + y = −3?

omeli [17]

4 + y = -3

subtract 4 from each side

y = -3-4

y = -7

4 0

3 years ago

5. Find the general solution to y'''-y''+4y'-4y = 0

CaHeK987 [17]

For any equation,

$a_ny^(n)+\dots+a_1y'+a_0y=0$

assume solution of a form, $e^{yt}$

Which leads to,

$(e^{yt})'''-(e^{yt})''+4(e^{yt})'-4e^{yt}=0$

Simplify to,

$e^{yt}(y^3-y^2+4y-4)=0$

Then find solutions,

$\underline{y_1=1}, \underline{y_2=2i}, \underline{y_3=-2i}$

For non repeated real root y, we have a form of,

$y_1=c_1e^t$

Following up,

For two non repeated complex roots $y_2\neq y_3$ where,

$y_2=a+bi$

and,

$y_3=a-bi$

the general solution has a form of,

$y=e^{at}(c_2\cos(bt)+c_3\sin(bt))$

Or in this case,

$y=e^0(c_2\cos(2t)+c_3\sin(2t))$

Now we just refine and get,

$\boxed{y=c_1e^t+c_2\cos(2t)+c_3\sin(2t)}$

Hope this helps.

r3t40

5 0

3 years ago