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3 years ago

A) Work out the value of x and give

Mathematics

1 answer:

user100 [1]3 years ago

4 0

Answer:

x = 106°

y = 127°

Step-by-step explanation:

x = 2* 53° = 106°

(Measure of the angle subtended on the center of the circle is twice the measure of inscribed angle)

y = 1/2 ( 360° - 106°)

(By inscribed angle theorem)

y = 1/2 *254°

y = 127°

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A messenger earns 2640 per year and pays tax at the rate of 10k On a naira how much tax does he pay in the year

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Answer:

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Step-by-step explanation:

Given that:

Amount earned per year = 2460

Rate of interest paid : 10k per naira earned

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10k = (100/10) = 0.1 naira

Hence 0.1 naira is paid as tax on every naira earned

Total amount paid on 2640 Naira :

Amount paid per naira * total amount earned

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3 years ago

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Step-by-step explanation:

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3 years ago

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Barrett works at an ice cream shop. The function f(x) represents the amount of money Barrett earns per gallon of ice cream, wher

Sliva [168]

The value of $f(g(x))$ is $6x^{3} +4$

Explanation:

The function $f(x)$ is given by

$f(x)=2x^{2} +4$

The function $g(x)$ is given by

$g(x)=\sqrt{3x^{3} }$

To determine the value of $f(g(x))$ , let us first substitute the value of $g(x)$ .

Thus, we get,

$f(g(x))=f(\sqrt{3x^{3} } )$

Now, substituting for $x=\sqrt{3x^{3} }$ in the function $f(x)$ , we get,

$f(g(x))=2(\sqrt{3x^{3} } )^2+4$

Simplifying, the expression, we get,

$f(g(x))=2({3x^{3} } )+4$

Multiplying the term within the bracket, we have,

$f(g(x))=6x^{3} +4$

Thus, the value of $f(g(x))$ is $6x^{3} +4$

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3 years ago

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Nuetrik [128]

Answer:

2) 162°, 72°, 108°

3) 144°, 54°, 126°

Step-by-step explanation:

1) Multiply the equation by 2sin(θ) to get an equation that looks like ...

sin(θ) = <some numerical expression>

Use your knowledge of the sines of special angles to find two angles that have this sine value. (The attached table along with the relations discussed below will get you there.)

____

2, 3) You need to review the meaning of "supplement".

It is true that ...

sin(θ) = sin(θ+360°),

but it is also true that ...

sin(θ) = sin(180°-θ) . . . . the supplement of the angle

This latter relation is the one applicable to this question.

Similarly, it is true that ...

cos(θ) = -cos(θ+180°),

but it is also true that ...

cos(θ) = -cos(180°-θ) . . . . the supplement of the angle

As above, it is this latter relation that applies to problems 2 and 3.

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3 years ago

The probability that a new advertising campaign will increase sales is assessed as being 0.80. The probability that the cost of

tatuchka [14]

Answer:

The probability that the cost is kept within budget or the campaign will increase sales is 0.88

Step-by-step explanation:

The probability that the cost is kept within budget (event A) <u>or</u> the campaign will increase sales (event B) is the <u>union</u> of the probability of those two events. By basic properties of probability, this is:

P(A ∪ B) = P(A) + P (B) - P(A ∩ B)

and for independent events:

P(A ∩ B) = P(A) * P(B)

So:

P(A ∪ B) = 0.80 + 0.40 - (0.80*0.40) = 1.20 - 0.32 = 0.88

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3 years ago