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katen-ka-za
18 hours ago
6

Another project on Kickstarter for an iPad stylus raised 1,253% of their goal, raising a total of $313,490 from 7,511 supporters

. What was their original goal?
Mathematics
1 answer:
Svet_ta [4.3K]18 hours ago
8 0

Answer:

The initial goal was $25019.154.

Step by step Explanation:

Assuming the original goal is denoted as x.

As stated

Another Kickstarter initiative for an iPad stylus secured 1,253% of its target, accumulating a total of $313,490.

1253% can be expressed as a decimal.

= \frac{1253}{100}

= 12.53

Thus, the equation is rearranged to

12.53 × x = 313490

12.53x = 313490

x = \frac{313490}{12.53}

x = $ 25019.154

This means the initial goal stands at $25019.154.

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As approximately 10% of users fail to close Windows properly, we determine:

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Explain how to use a graph of the function f(x) to find f(3).
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Given: △ABC, m∠A=60° m∠C=45°, AB=8 Find: Perimeter of △ABC, Area of △ABC
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We are given the triangle

△ABC, with m∠A=60° and m∠C=45°, and AB=8.

To start, we will calculate all angles and sides.

Finding angle B:

The total of all angles in a triangle equals 180.

m∠A + m∠B + m∠C = 180.

Substituting the known values,

60° + m∠B + 45° = 180.

This gives us m∠B = 75°.

Calculating BC:

Using the law of sines,

\frac{AB}{sin(C)}=\frac{BC}{sin(A)}

We can substitute in the values.

\frac{8}{sin(45)}=\frac{BC}{sin(60)}

BC=\frac{8}{sin(45)} \times sin(60)

BC=9.798

Finding AC:

\frac{AB}{sin(C)}=\frac{AC}{sin(B)}

Now we'll input the values.

\frac{8}{sin(45)}=\frac{AC}{sin(75)}

AC=\frac{8}{sin(45)} \times sin(75)

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We substitute values here as well.

p=10.928+8+9.798

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Using the area formula,

A=\frac{1}{2}AB \times AC \times sin(A)

we can then insert values.

A=\frac{1}{2}8 \times 10.928 \times sin(60)

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