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Brut [27]
3 years ago
15

Linear Law Additional Mathematics F4​

Mathematics
1 answer:
dolphi86 [110]3 years ago
3 0

Answer:

h = 3, k = 64

Step-by-step explanation:

Given

log_{2} y = - \frac{1}{2} log_{2} x + 3

In the form

y = mx + c ( m is the slope and c the y- intercept )

Then

h = 3

On the log_{2} axis log_{2} y = 0 then

0 = - \frac{1}{2} log_{2} k + 3 ( subtract 3 from both sides )

- 3 = - \frac{1}{2} log_{2} k ( divide both sides by - \frac{1}{2} )

6 = log_{2} k , then

k = 2^{6} = 64

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Agata [3.3K]

The solution of cos θ = −0.3 is θ = 107.45760312 degrees

<em><u>Solution:</u></em>

Given that we have to find the primary solution of cos \theta = -0.3

To solve this equation, you must find the unknown (theta)

cos \theta = -0.3

Use the inverse of cosine (Arccos) to find the angle measurement (in degrees) of theta

\theta = arccos (-0.3)

We know that arccos (-0.3) = 107.45760312 degrees

[ If you reference a unit circle or use a calculator ]

\theta = 107.45760312^{\circ}

Therefore solution of cos θ = −0.3 is θ = 107.45760312 degrees

4 0
3 years ago
I drove to my parents' house at 60 miles per hour. if i had driven 50 miles an hour instead, then i would have gotten there 40 m
Fittoniya [83]
Use distance = rate x time

Let "t" be the time it took for you to drive to your parent's house at 60mph.

So 60t would be the distance.

And "t+40" would be the time it took for you to get to your parent's house at 50 mph.  And that total distance would be 50(t+40).

Since both the distances are the same, this gives us the equation:

60t = 50(t+40)

Simplify:  60t = 50t + 2000
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t = 200 minutes

Driving at 60 mph for 200 minutes equates to a total distance of 200 miles.
5 0
3 years ago
The figure is made up of a cylinder, a cone, and a half sphere. The radius of the half sphere is 3 inches. What is the volume of
guajiro [1.7K]

Given.

Radius of the Half sphere is 3 inches.

From the figure;

Radius of half sphere= Radius of cylinder= Radius of cone=3inches

Height of cone= 4inches.

Height of cylinder=6inches.

Volume of cone=(πr²h)/3

=(π3²×4)/3

=(12π) inch³

volume of cylinder= πr²h=π3²6=54π inch³

Volume of half sphere= (4/3) π r³=π(4×3³)/3 (1/2)=π×4×9/2=18π inch³

Total area of Composite figure=(12π +54π +18π) inch³

=84π inch³

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=12×22 inch³

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Hope it helps...

Regards;

Leukonov/Olegion.

6 0
3 years ago
Read 2 more answers
(0, 2), (1,7) create a equation that passes through each pair of points
uranmaximum [27]

Answer:

y = 5x + 2

Step-by-step explanation:

Given the equation 5x + 2

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Plug in 1

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8 0
2 years ago
Please help needed and thank you
Lelechka [254]
Easy subtract divide than multiply
3 0
2 years ago
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