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damaskus [11]
3 years ago
11

What is the area of the kite?

Mathematics
1 answer:
finlep [7]3 years ago
3 0

Answer:

Step-by-step explanation:

area of kite=product of diagonals ÷2=(30×4)÷2=120/2=60 ft²

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the mean of "n" numbers is "x" . if one more is added the mean is "y" . write an algebraic expression for the value of the numbe
vaieri [72.5K]

Answer:

yn +y -xn

Step-by-step explanation:

Mean= sum of numbers ÷number of numbers

x= sum of n numbers ÷n

<em>Multiply</em><em> </em><em>both</em><em> </em><em>sides</em><em> </em><em>by</em><em> </em><em>n</em><em>:</em>

xn= sum of n numbers

sum of n numbers= xn -----(1)

Let the number added be a.

After a has been added,

y= (sum of n numbers +a) ÷(n+1)

<em>Multiply</em><em> </em><em>both</em><em> </em><em>sides</em><em> </em><em>by</em><em> </em><em>(</em><em>n</em><em> </em><em>+</em><em>1</em><em>)</em><em>:</em>

y(n +1)= sum of n numbers +a

sum of n numbers= y(n +1) -a -----(2)

Substitute (1) into (2):

xn= y(n +1) -a

<em>Expand</em><em>:</em>

xn= yn +y -a

a= yn +y -xn

<u>Let's check!</u>

Let the numbers be 1, 2, 3 and 4.

mean, x= 10 ÷4= 2.5

n= 4

Let the new number added, a, be 7.

a= 7

mean, y= 17 ÷5= 3.4

a= yn +y -xn

a= 3.4(4) +3.4 -2.5(4)

a= 7

Thus, the expression is true.

3 0
3 years ago
jasmine buys 21 cans of dog food. She gives 1/3 of the cans to her neighbor and she keeps the rest of the cans for her puppy. Ja
Llana [10]
21 cans of dog food.

She gives 21/3, or 7 cans to her neighbor.

She now has 21 - 7, or 14 cans for her puppy.

Her puppy eats 4/7 cans a day.

14 \times \frac{4}{7} =2\times 4= \boxed{\bf{8}}

Jasmine has 8 days supply of dog food for her puppy.
4 0
3 years ago
Two kids are roller skating. Amy, with a mass of 55 kg, is traveling forward at 3 m/s. Jenny, who
alekssr [168]

Answer:

They traveling at 0.37\ m/s in backward direction.

Step-by-step explanation:

Given mass of Ammy m_1=55kg

and velocity is forward at v_1=3m/s

Also, mass of Jenny m_2=40kg

Who is travelling in opposite direction v_2=-5m/s

Let velocity in forward direction is positive and velocity in backward direction is negative.

Also, velocity after crash is v

As they crashed into each other and they moved as one mass. We can apply principle of conservation of momentum.

Conservation of momentum says momentum before collision should equal to momentum after collision.

m_1v_1+m_2v_2=(m_1+m_2)v

(55\times3)+(40\times(-5))=(55+40)v\\\\165-200=95v\\\\-35=95v\\\\v=\frac{-35}{95}=-0.368m/s

So, velocity after collision v≅-0.37m/s is in opposite direction. That is the direction of Jenny.

6 0
3 years ago
Can someone help me plz!!! Questin 7
MaRussiya [10]

Answer:

17

Step-by-step explanation:The rule is that x is increased by one then added to x

So 5 + 6 = 1

So 8 +9= 17

8 0
3 years ago
Read 2 more answers
The Singapore Flyer is a giant observation
Law Incorporation [45]

Answer:

28

Step-by-step explanation:

Let x be the number of capsules on the Singapore Flyer.

Each capsule can carry x passengers.

Therefore x^2 = 784.

x = 28

8 0
3 years ago
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