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4 years ago

?>?>?>>??>Find the area of the kite.

Mathematics

1 answer:

sineoko [7]4 years ago

8 0

Check the picture below.

$\bf \stackrel{\textit{area of triangles on the left}}{2\left[\cfrac{1}{2}(2)(3) \right]}+\stackrel{\textit{area of triangles on the right}}{2\left[\cfrac{1}{2}(4)(3) \right]}\implies 6+12\implies 18$

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Your credit card has a balance of $3300 and an annual interest rate of 14%. You decided to pay off the balance over two years. I

NARA [144]

9514 1404 393

Answer:

$137.90 more each month
$246.00 less total interest

Step-by-step explanation:

The amortization formula is ...

A = P(r/12)/(1 -(1 +r/12)^(-12t))

for the monthly payment on principal P at annual rate r for t years. Here, we have P=3300, r = 0.14, and t=1, so the monthly payment is ...

A = $3300(0.14/12)/(1 -(1 +0.14/12)^-12) ≈ $296.30

The payment of $296.30 is ...

$295.30 -158.40 = $137.90 . . . more each month

The total amount paid is 12×$296.30 = $3555.60, so 255.60 in interest. This amount is ...

$501.60 -255.60 = $246.00 . . . less total interest

3 0

3 years ago

Determine if the graph is symmetric about the x-axis, the y-axis, or the origin.<br> r = 9 sin 7θ

boyakko [2]

Answer:

The given function symmetric about the y-axis.

Step-by-step explanation:

The given function is

$r=9\sin 7\theta$ .... (1)

1. Symmetry about the x-axis: If the point (r, θ ) lies on the graph, then the point (r,-θ ) or (-r, π - θ ) also lies on the graph.

2. Symmetry about the y-axis: If the point (r, θ ) lies on the graph, then the point (r,π - θ ) or (-r, -θ ) also lies on the graph.

3. Symmetry about the origin: If the point (r, θ ) lies on the graph, then the point (-r, θ ) or (r, π + θ ) also lies on the graph.

Put (r, -θ ) in the given function.

$r=9\sin 7(-\theta)=-9\sin 7\theta=-r\neq r$

Therefore it is not symmetric about x-axis.

Put (-r, -θ ) in the given function.

$-r=9\sin 7(-\theta)=-9\sin 7\theta=-r$

Therefore it is symmetric about y-axis.

Put (-r,θ ) in the given function.

$-r=9\sin 7(\theta)=r\neq -r$

Therefore it is not symmetric about the origin.

3 0

3 years ago

hannah made 18 ounces of applesauce. She evenly portions the applesauce among 4 containers. how many ounces of applesauce are in

Fittoniya [83]

4.5 ounces of applesauce in 1 container.

5 0

3 years ago

The length of a rectangle exceeds the breadth by 8 cm. Find the area of the rectangle, if its perimeter is 180 cm

sergiy2304 [10]

Answer:

2009cm^2

Step-by-step explanation:

Given data

let the length be L

and the width be w

w= x

L=x+8

P= 180cm

P= 2L+2W

180= 2(x+8)+2(x)

180= 2x+16+2x

collect like terms

180= 4x+16

180-16= 4x

164= 4x

x= 164/4

x=41

W= 41cm

L= 41+8

L= 49cm

A= L*W

A=49*41

A=2009cm^2

Hence the area is 2009cm^2

3 0

3 years ago

For the following exercises, solve each inequality and write the solution in interval notation.

WARRIOR [948]

Answer:

The solution to the inequality |x-2|>10 in interval notation is given by -8<x<12

Step-by-step explanation:

An absolute value inequality |x-2|>10 is given.

It is required to solve the inequality and write the solution in interval form.

To write the solution, first solve the given absolute value inequality algebraically and then write it in interval notation.

Step 1 of 2

The given absolute value inequality is $|x-2|>10$.

The inequality can be written as

x-2<10 and x-2>-10

First solve the inequality, x-2<10.

Add 2 on both sides,

x-2<10

x-2+2<10+2

x<12

Step 2 of 2

Solve the inequality x-2>-10.

Add 2 on both sides,

x-2>-10

x-2+2>-10+2

x>-8

The solution of the inequality in interval notation is given by -8<x<12.

7 0

2 years ago