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ruslelena [56]
3 years ago
8

What 5 numbers that has a median equal to 7?

Mathematics
1 answer:
Elza [17]3 years ago
4 0
Median is where if you put them in ascending order and cross them off, one from each side at a time, you get to the middle number.
56789 is your answer but so would any group of 5 numbers where two are bigger and two smaller than seven.
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Simon used 3 pears and 9 apples to make a fruit salad. What was the ratio of the number of pears to the number of apples in the
dlinn [17]

Answer:

Step-by-step explanation:

Ratio is an expression that shows the relationship between two items in terms of quantity. It shows how much of one item can be found in another.

Simon used 3 pears and 9 apples to make a fruit salad.

This is expressed in terms of quantity.

The ratio of the number of pears which simon used to the number of apples which simon used will be

Number of pears which simon used ÷ the number of apples which simon used.

The ratio is 3/9.

Simplifying further to its lowest term,

It becomes 1/3

This is done by dividing the numerator and denominator by 3

3 0
3 years ago
What is the slope of the line below?
RUDIKE [14]

Answer:

6/5

Step-by-step explanation:

I hope that it's a clear solution.

8 0
3 years ago
Read 2 more answers
How is this solved using trig identities (sum/difference)?
GenaCL600 [577]
FIRST PART
We need to find sin α, cos α, and cos β, tan β
α and β is located on third quadrant, sin α, cos α, and sin β, cos β are negative

Determine ratio of ∠α
Use the help of right triangle figure to find the ratio
tan α = 5/12
side in front of the angle/ side adjacent to the angle = 5/12
Draw the figure, see image attached

Using pythagorean theorem, we find the length of the hypotenuse is 13
sin α = side in front of the angle / hypotenuse
sin α = -12/13

cos α = side adjacent to the angle / hypotenuse
cos α = -5/13

Determine ratio of ∠β
sin β = -1/2
sin β = sin 210° (third quadrant)
β = 210°

cos \beta = -\frac{1}{2}  \sqrt{3}

tan \beta= \frac{1}{3}  \sqrt{3}

SECOND PART
Solve the questions
Find sin (α + β)
sin (α + β) = sin α cos β + cos α sin β
sin( \alpha + \beta )=(- \frac{12}{13} )( -\frac{1}{2}  \sqrt{3})+( -\frac{5}{13} )( -\frac{1}{2} )
sin( \alpha + \beta )=(\frac{12}{26}\sqrt{3})+( \frac{5}{26} )
sin( \alpha + \beta )=(\frac{5+12\sqrt{3}}{26})

Find cos (α - β)
cos (α - β) = cos α cos β + sin α sin β
cos( \alpha + \beta )=(- \frac{5}{13} )( -\frac{1}{2} \sqrt{3})+( -\frac{12}{13} )( -\frac{1}{2} )
cos( \alpha + \beta )=(\frac{5}{26} \sqrt{3})+( \frac{12}{26} )
cos( \alpha + \beta )=(\frac{5\sqrt{3}+12}{26} )

Find tan (α - β)
tan( \alpha - \beta )= \frac{ tan \alpha-tan \beta }{1+tan \alpha  tan \beta }
tan( \alpha - \beta )= \frac{ \frac{5}{12} - \frac{1}{2} \sqrt{3}   }{1+(\frac{5}{12}) ( \frac{1}{2} \sqrt{3})}

Simplify the denominator
tan( \alpha - \beta )= \frac{ \frac{5}{12} - \frac{1}{2} \sqrt{3}   }{1+(\frac{5\sqrt{3}}{24})}
tan( \alpha - \beta )= \frac{ \frac{5}{12} - \frac{1}{2} \sqrt{3} }{ \frac{24+5\sqrt{3}}{24} }

Simplify the numerator
tan( \alpha - \beta )= \frac{ \frac{5}{12} - \frac{6}{12} \sqrt{3} }{ \frac{24+5\sqrt{3}}{24} }
tan( \alpha - \beta )= \frac{ \frac{5-6\sqrt{3}}{12} }{ \frac{24+5\sqrt{3}}{24} }

Simplify the fraction
tan( \alpha - \beta )= (\frac{5-6\sqrt{3}}{12} })({ \frac{24}{24+5\sqrt{3}})
tan( \alpha - \beta )= \frac{10-12\sqrt{3} }{ 24+5\sqrt{3}}

7 0
3 years ago
Shelly and Steve buy prepaid phone
muminat

Answer:

Steve

Step-by-step explanation:

steve is buying 200 minutes which is more than 150 minutes

Hope i helped :) :) :)

5 0
3 years ago
Jackie cut a 2 yard spool into 5 equal lengths of ribbon what is the length of each ribbon in yards
ratelena [41]
2/5 yards 
i hope its right
5 0
3 years ago
Read 2 more answers
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