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Mekhanik [1.2K]
3 years ago
11

If y varies directly with x and y = 16 when x = 4, find x when y = 8.

Mathematics
2 answers:
VladimirAG [237]3 years ago
7 0

Answer: X = 2

Step-by-step explanation:

Y & X

Y = KX

K = Y/X = 16/4 = 4

Y= 8

K =4

X=?

X = Y/K

X = 8/4 = 2

Luba_88 [7]3 years ago
5 0

Step-by-step explanation:

Given:  \\ y \:  \alpha  \: x \\  \therefore \: y = kx..(k = constant)..(1) \\  \\ let \: us \: substitute \: x = 4 \: and \: y = 16 \:  \\  in \: equation \: (1)\\  \\ 16 = 4k \:  \\  \implies \: k =  \frac{16}{4}   \\  \implies \: k =  4 \\ substituting \: k = 4 \: in \: equation \:  \\ (1) \: we \: find :  \\ y = 4x....(2) \\ now \: we \: need \: to \: find \: x \: when \: y = 8 \\   \therefore \: 8 = 4x \\  \implies \: x =  \frac{8}{4}  \\   \huge \orange{ \boxed{\implies \: x =  2}}

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mezya [45]

Answer:

A = 36.8°

B = 23.2°

a = 7.6

Step-by-step explanation:

Given:

C = 120°

b = 5

c = 11

Required:

Find A, B, and a.

Solution:

✔️To find B, apply the Law of Sines

\frac{sin(B)}{b} = \frac{sin(C)}{c}

Plug in the values

\frac{sin(B)}{5} = \frac{sin(120)}{11}

Cross multiply

Sin(B)*11 = sin(120)*5

Divide both sides by 11

sin(B) = \frac{sin(120)*5}{11}

sin(B) = \frac{sin(120)*5}{11}

Sin(B) = 0.3936

B = sin^{-1}(0.3936)

B = 23.1786882° ≈ 23.2° (nearest tenth)

✔️Find A:

A = 180° - (B + C) (sum of triangle)

A = 180° - (23.2° + 120°)

A = 36.8°

✔️To find a, apply the Law of sines:

\frac{sin(A)}{a} = \frac{sin(B)}{b}

Plug in the values

\frac{sin(36.8)}{a} = \frac{sin(23.2)}{5}

Cross multiply

a*sin(23.2) = 5*sin(36.8)

Divide both sides by sin(23.2)

a = \frac{5*sin(36.8)}{sin(23.2)

a = 7.60294329 ≈ 7.6 (nearest tenth)

5 0
3 years ago
Please helllllllllllllllllp meeeee.
Contact [7]

Answer:

d ≈ 5.7

Step-by-step explanation:

[Given] d² = 33

[Square root both sides] \sqrt{d^{2} } = \sqrt{33}

[Solve for \sqrt{33} and cancel out the square root + square] d ≈ 5.74456

[Round to nearest tenth] d ≈ 5.7

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

5 0
3 years ago
5+[30-(8-1)² ÷ 11-2²
Xelga [282]

Answer:

26.5454545455

Step-by-step explanation:

6 0
3 years ago
Triangle EFG has vertices E(-3,1), F(1,1), and G(4,5). Find the coordinates of the image of point of E after a translation of 3
torisob [31]

Answer:

E(-1,3) F(3,-2) G(6,2)

Step-by-step explanation:

It's just simple addition and subtraction. The x-coordinate would add 2 since it is going to the right, which is positive. The y-coordinate would subtract 3 since going down be negative.

7 0
3 years ago
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Tamiku [17]

Answer:

OPTION B: 80

SEE THE IMAGE FOR SOLUTION

8 0
3 years ago
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