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zhenek [66]
3 years 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:
SpyIntel [72]3 years ago
8 0

Answer:

The original goal is $25019.154 .

Step by step Explanation:

Let us assume that the origianl goal be x .

As given

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

1253% is written in the decimal form .

= \frac{1253}{100}

= 12.53

Than the equation becomes

12.53 × x = 313490

12.53x = 313490

x = \frac{313490}{12.53}

x = $ 25019.154

Therefore the original goal is $25019.154 .

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sasho [114]

The answer is A it is correct.

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3 years ago
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1. To the nearest degree, find the measure of angle A.
Assoli18 [71]

Answer:

(1) Option A is correct , The measure of angle A = 26°

(2) Option D is correct, The measure of angle B  =70°

Step-by-step explanation:

(1)

In a right angle triangle figure-1 ,

* Hypotenuse(H) is always opposite the right angle and it is always the longest side of the triangle.

* Adjacent side (B) is the non-hypotenuse side that is next to a given angle A.

* Opposite side(P) is across from a given angle A.

To find the Angle A we use the Cosine ratio:

Cosine ratio states that the ratio of the adjacent side of a right triangle to the hypotenuse.

By definition of cosine ratio we have;

\cos A = \frac{B}{H}                      ....[1]

In the figure - 1 we have B = 18 in and H = 20 in

substitute these in [1] to find angle A

\cos A =\frac{18}{20} =\frac{9}{10} = 0.9

or

A = cos^{-1} (0.9)

⇒ A \approx 26^{\circ}

therefore, the measure of angle A is,  26^{\circ}

(2)P

In figure -2

Find the measure of angle B.

First find the side BC, using Pythagoras theorem;

Pythagoras theorem states that in the right angle triangle the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Apply Pythagoras theorem in rt. angle ABC;

AB^2 = AC^2+BC^2

Substitute the values of AB = 5.1 cm and AC =4.8 cm to solve for BC

(5.1)^2=(4.8)^2 +BC^2

26.01 = 23.04+BC^2

Simplify:

BC^2 = 2.97 or

BC = \sqrt{2.97} =1.723 cm

Now, find the angle B, using tangent ratio;

Tangent ratio states that the ratio of the Opposite side of a right triangle to the adjacent side.

\tan B = \frac{AC}{BC} =\frac{4.8}{1.732} =2.772

B = \tan^{-1} (2.772) \approx 70^{\circ}

Therefore, the measure of angle B is; 70^{\circ}.

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g(x) =  - 5x
This is probably the right answer
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Which sign makes the statement true? (3 × 7) 21 = 1
Aleksandr-060686 [28]

The sign that would make the statement true is the division sign which would then make the full expression, (3 × 7) ÷ 21 = 1.

<h3>How to find the sign?</h3>

The statement given is (3 × 7) 21 = 1. There is therefore a need to find the sign that would be between the brackets and "21" which would lead to the answer being 1.

The brackets have to be solved first according to the PEMDAS rule which calls for parenthesis being solved first.

Solving the expression in the brackets gives:

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The only sign that can relate 21 to 21 such that the answer would be 1, is division:
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In conclusion, the sign that would make the statement true is a division sign.

Find out more on mathematical signs at brainly.com/question/24034494

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