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What would you multiply by to find 120% of a number?

Darina [25.2K]

You would multiply by 1.2 for example if you wanted to find 120% of 100 you would multiply by 1.2 and get 120

3 0

3 years ago

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

Can you help me? Please

sasho [114]

Answer:

Option d

Step-by-step explanation:

⁴√(9x⁴)•⁴√(16x⁴)

= x√3•2x

= 2√3x² ≠ 12x⁴

4 0

3 years ago

What is the most plausible value for the correlation between spending on tobacco and spending on alcohol? 0.99 − 0.50 −0.50 0.80

Fofino [41]

Answer:

Option c) 0.80

Step-by-step explanation:

We have to approximate the most possible correlation between spending on tobacco and spending on alcohol.

Correlation is a technique that help us to find or define a relationship between two variables.
A positive correlation means that an increase in one quantity leads to an increase in another quantity
A negative correlation means with increase in one quantity the other quantity decreases.
Values between 0 and 0.3 tells about a weak positive linear relationship, values between 0.3 and 0.7 shows a moderate positive correlation and a correlation of 0.7 and 1.0 states a strong positive linear relationship.
Values between 0 and -0.3 tells about a weak negative linear relationship, values between -0.3 and -0.7 shows a moderate negative correlation and a correlation value of of -0.7 and -1.0 states a strong negative linear relationship.

a) 0.99

This shows almost a perfect straight line relationship between spending on tobacco and spending on alcohol. Thus, this cannot be the right correlation as the relationship between spending on tobacco and spending on alcohol is not so strong.

b)-0.50

This shows a negative relation between spending on tobacco and spending on alcohol which cannot be true as they share a positive relation.

c) 0.80

This correlation shows a strong positive correlation between spending on tobacco and spending on alcohol which is correct because the relationship between spending on tobacco and spending on alcohol is positive

d)0.08

This correlation shows a very weak positive correlation between spending on tobacco and spending on alcohol which cannot be true.

4 0

3 years ago

What is the scale factor of a cube with a volume of 343 m³ to a cube with a volume of 5832 m³

UkoKoshka [18]

The correct answer is D 7.18

4 0

3 years ago

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