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2 years ago

OMG im so stressed today i cant think strait so...

Mathematics

1 answer:

MrRissso [65]2 years ago

4 0

Answer:

5/6

Step-by-step explanation:

1/2 times by 3 = 3/6

1/3 times by 2 = 2/6

then add these together to get 5/6

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Maci and I are making a small kite. Two sides are 10". Two sides are 5". The shorter diagonal is 6". Round all your answers to t

Art [367]

Answer:

A. 4".

B. Approximately 9.54".

C. Approximately 13.54".

Step-by-step explanation:

Please find the attachment.

Let x be the distance from the peak of the kite to the intersection of the diagonals and y be the distance from the peak of the kite to the intersection of the diagonals.

We have been given that two sides of a kite are 10 inches and two sides are 5 inches. The shorter diagonal is 6 inches.

A. Since we know that the diagonals of a kite are perpendicular and one diagonal (the main diagonal) is the perpendicular bisector of the shorter diagonal.

We can see from our attachment that point O is the intersection of both diagonals. In triangle AOD the side length AD will be hypotenuse and side length DO will be one leg.

We can find the value of x using Pythagorean theorem as:

$(AO)^2=(AD)^2-(DO)^2$

$x^{2}=5^2-3^2$

$x^{2}=25-9$

$x^{2}=16$

Upon taking square root of both sides of our equation we will get,

$x=\sqrt{16}$

$x=\pm 4$

Since distance can not be negative, therefore, the distance from the peak of the kite to the intersection of the diagonals is 4 inches.

B. We can see from our attachment that point O is the intersection of both diagonals. In triangle DOC the side length DC will be hypotenuse and side length DO will be one leg.

We can find the value of y using Pythagorean theorem as:

$(OC)^2=(DC)^2-(DO)^2$

Upon substituting our given values we will get,

$y^2=10^2-3^2$

$y^2=100-9$

$y^2=91$

Upon taking square root of both sides of our equation we will get,

$y=\sqrt{91}$

$y\pm 9.539392$

$y\pm\approx 9.54$

Since distance can not be negative, therefore, the distance from intersection of the diagonals to the top of the tail is approximately 9.54 inches.

C. We can see from our diagram that the length of longer diagram will be the sum of x and y.

$\text{The length of the longer diagonal}=x+y$

$\text{The length of the longer diagonal}=4+9.54$

$\text{The length of the longer diagonal}=13.54$

Therefore, the length of longer diagonal is approximately 13.54 inches.

3 0

3 years ago

Plz help! What is the surface area of the figure?

dexar [7]

Answer:

483 ft²

Step-by-step explanation:

2(7x7)= 98

3(5x12)=180

2(12x5)=120

2(5x5)= 50

1(7x5) = <u> 35 </u>

483

6 0

3 years ago

A fair dice is rolled 3 times in a row. The outcomes are shown below.

maks197457 [2]

Answer:

1/3

Step-by-step explanation:

I think this is 1/3 because it is a ratio of successful outcomes to total number of outcomes..

Ex. Rolling a 6 sided dice.. you roll a 5... it would be 1/6.

Hope that makes sense.

8 0

2 years ago

How to write an equation of a horizontal line through a point?

satela [25.4K]

Y= y1

replace the y1 with the ordinate ( the y-part) of the point you are going thru

example a horizontal line going through the point (7,12) would be y=12

3 0

3 years ago

Which of the following fractions have repeating decimal representations? Which have terminating decimal representations?

natali 33 [55]

Repeating decimal representation will be 3/13, 7/24. Terminating decimal representation will be 3/16, 4/125.

<h3>What is decimal?</h3>

The accepted method for representing both integer and non-integer numbers is the decimal numeral system. It is the expansion of the Hindu-Arabic numeral system to non-integer values. Decimal notation is the term used to describe the method of representing numbers in the decimal system. The base-10 number system, arguably the most widely used number system, is referred to as decimal. The decimal number system consists of ten single-digit numbers: 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9. The number following nine is 10.

Here,

Repeating decimal representation,

=3/13, 7/24

Terminating decimal representation,

=3/16, 4/125

3/13 and 7/24 will be repeated in decimal form. The final two decimal places are 3/16 and 4/125.

To know more about decimal,

brainly.com/question/25903211

#SPJ1

7 0

1 year ago