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3 years ago

The graph of y=-3x+4 is

Mathematics

1 answer:

cluponka [151]3 years ago

3 0

Answer:

Answer below

Step-by-step explanation:

Not really sure what you want but here you go

Hope that helps

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What is the product of 2.7 and 1.5

Zina [86]

The product of 2.7 and 1.5 is 4.05.

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3 years ago

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Find the longer leg of the triangle.

Paha777 [63]

Answer:

Choice A. 3.

Step-by-step explanation:

The triangle in question is a right triangle.

The length of the hypotenuse (the side opposite to the right angle) is given.
The measure of one of the acute angle is also given.

As a result, the length of both legs can be found directly using the sine function and the cosine function.

Let $\text{Opposite}$ denotes the length of the side opposite to the $30^{\circ}$ acute angle, and $\text{Adjacent}$ be the length of the side next to this $30^{\circ}$ acute angle.

$\displaystyle \begin{aligned}\text{Opposite} &= \text{Hypotenuse} \times \sin{30^{\circ}}\\ &=2\sqrt{3}\times \frac{1}{2} \\&= \sqrt{3}\end{aligned}$ .

Similarly,

$\displaystyle \begin{aligned}\text{Adjacent} &= \text{Hypotenuse} \times \cos{30^{\circ}}\\ &=2\sqrt{3}\times \frac{\sqrt{3}}{2} \\&= 3\end{aligned}$ .

The longer leg in this case is the one adjacent to the $30^{\circ}$ acute angle. The answer will be $3$ .

There's a shortcut to the answer. Notice that $\sin{30^{\circ}} < \cos{30^{\circ}}$ . The cosine of an acute angle is directly related to the adjacent leg. In other words, the leg adjacent to the $30^{\circ}$ angle will be the longer leg. There will be no need to find the length of the opposite leg.

Does this relationship $\sin{\theta} < \cos{\theta}$ holds for all acute angles? (That is, $0^{\circ} < \theta$ ?) It turns out that:

$\sin{\theta} < \cos{\theta}$ if $0^{\circ} < \theta$ ;
$\sin{\theta} > \cos{\theta}$ if $45^{\circ} < \theta$ ;
$\sin{\theta} = \cos{\theta}$ if $\theta = 45^{\circ}$ .

4 0

3 years ago

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What function has the greater maximum volume

madam [21]

the maximum volume is 2000 cubic inches

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3 years ago

The monthly profit of an artist co-op store if she were equally on the 13 orders if the profit one month is 3849 which is the be

monitta

Answer:

The best estimate of each owner share is 296

Step-by-step explanation:

Now, we know that that the profit was shared equally and we have 13 recipients of the share

The best estimate for each owner’s share is to divide the amount shared in the month by the number of the recipients

That would be 3,849/13 = 296.08

This is best estimated as 296

8 0

3 years ago

(This question is related to the picture question)

UNO [17]

Answer:

5. $f(x) = 10,000 (1.5)^x$

Step-by-step explanation:

==>>We would have to multiply the original amount by 1.50^x because the initial amount would be 1, and 50% increase would be .5 so 1.5 and you raise it to the number of years to show the total increase.

Let's test it

Initial: 10,000

After 1 year

10,000 + (.5*10000)

10,000 + 5000 = 15,000

After 2 years

15,000 + (.5*15000)

15,000 + 7500 = 22,500

Let's try our equation.

$f(x) = 10,000 (1.5)^x$

$x=2$

$10,000(1.5)^2$

$10,000(2.25) = 22,500$

*Edit: I just seen that the question is related to the picture question

6 0

3 years ago