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irina [24]
3 years ago
6

Elsa saving money to buy a game so far she had saved $36 which is 3/4 of the total cost of the game how much does the game cost

Mathematics
2 answers:
Troyanec [42]3 years ago
8 0

Answer:

$48

Step-by-step explanation:

Let x represent the cost of the game

$36 = 3/4 x

Divide both sides by 3/4

$36/3/4 = x

$36 *4 / 3 = x

$48 = x

Therefore, the game costs $48

natita [175]3 years ago
5 0

Answer:

$48

Step-by-step explanation:

To figure out how much the game costs in total, we first need to divide $36 by 3 (3 is the numerator).

36 / 3 = 12

The number 12 is how much each quarter is worth as shown below.

1/4 = 12

2/4 = 24

3/4 = 36

4/4 = ?

To find the answer, all we do is add 12 to 36.

12 + 36 = $48

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Luba_88 [7]

The value of sin A is equal to \frac{5}{13}.

<h3>RIGHT TRIANGLE</h3>

A triangle is classified as a right triangle when it presents one of your angles equal to 90º.  In this triangle from the trigonometric ratios or the Pythagoras Theorem (hypotenuse^2=(side_1)^2+(side_2)^2), it is possible finding angles or sides.

<h3>Trigonometric Ratios</h3>

The main trigonometric ratios for a right triangle are presented below.

sin\alpha =\frac{opposite \; side}{hypotenuse}

cos\alpha =sin\alpha =\frac{adjacent\; side}{hypotenuse}

tan\alpha  =\frac{opposite \; side}{adjacent\; side}

The question asks the sin A. First, you should find the hypotenuse from Pythagoras Theorem.

hypotenuse^2=(10)^2+(24)^2\\ \\ hypotenuse^2=100+576\\\\ hypotenuse^2=676\\ \\ hypotenuse=26

Now you can find sin A.

sin\A=\frac{10}{26}=\frac{5}{13}

Learn more about trigonometric ratios here:

brainly.com/question/11967894

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3 0
2 years ago
The area of the right triangle shown is 30 ft squared. The segment XY has a length of 5 ft. Find the length of the hypotenuse.
alexgriva [62]

Answer:

Hypotenuse is 13 ft.

Step-by-step explanation:

A=(1/2)bh

30=(1/2)(5)(h)

30=2.5h

h=12  so ZY = 12ft

Then

a^{2} +b^{2} =c^{2} \\5^{2} +12^{2} =c^{2} \\25+144=c^{2} \\169=c^{2}\\13=c

8 0
3 years ago
Triangle XYZ was dilated by a scale factor of 2 to create triangle ACB and sin ∠X = 5 over 5 and 59 hundredths.
Vikentia [17]

The relationship between Traingle XYZ and ACB is that they are similar triangles. tanX = tanA = 5 over 2 and 5 tenths, where

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  • CB = 2 x  YZ

<h3>What is the dilation about?</h3>

Triangle XYZ was dilated by a scale factor of 2 to create triangle ACB, hence XYZ and ACB are similar triangles.

Angles Y and C are said to measure 90 degrees, and angles A and X are known to be congruent. Thus:

tanX = tanA = 5 over 2 and 5 tenths

AC = 2 x  XY

CB = 2 x  YZ

Another way to solve for it is by:

Note that Dilation of the triangle ΔXYZ was by a factor of "2".

Since m∠Y = m∠C = 90º   - given

ΔXYZ and ΔACB are said to be right triangles.

Since ∠X ≅ ∠A   - given

Then ∠X and ∠Z are  said to becomplementary angles

Since m∠Z = 90° - m∠X   -- given

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Since m∠B = 90° - m∠A  --- given

Then, ∠Z ≅ ∠B

Therefore ΔXYZ ∼ ΔACB are  similar triangles because it has its corresponding sides to be proportional and its corresponding angles to be congruent.

Note:

sin ∠X = 5/5.59

sin ∠X = YZ/XY

YZ = 5  seen in ΔXYZ

XZ = 5.59 seen in hypotenuse of ΔXYZ

Then one need to Calculate the length of one aspect of XY:

XY = √((5.59)2 - 52)

= 2.4996

Note CB/YZ = 2

CD = 2*YZ = 2 x 5

= 10

AC/XY = 2

AC = 2* XY

= 2 x 2.4996

= 4.999

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Answer:

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Step-by-step explanation:

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