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trapecia [35]
3 years ago
14

How many degrees is the exterior angle of a triangle (w) if the non-adjacent angles (z and y) are 46 and 85?

Mathematics
1 answer:
Alchen [17]3 years ago
8 0

Answer:

46

Step-by-step explanation:

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a car generally depreciates 25% of its original value in the first year lonnoes car is worth $27300.00 after the first year. Wha
ivolga24 [154]
First, we convert the percentage to a decimal.
25% - 0.25

Next, we times this by the cars current value.
0.25 x $27,300
= $6,825

Lastly, we add this to our original cost to determine the starting value of the car.
$27,300 + $6,825
= $34,125
Cheers!

3 0
3 years ago
An arithmetic sequence has t1=5 and t2=8 find tn and sn
RoseWind [281]

Answer:

a_n=2+3n

\displaystyle S_n=\frac{7n+3n^2}{2}

Step-by-step explanation:

<u>Arithmetic Sequences </u>

The arithmetic sequences are identified because any term n is obtained by adding or subtracting a fixed number to the previous term. That number is called the common difference.

The equation to calculate the nth term of an arithmetic sequence is:

a_n=a_1+(n-1)r

Where

an = nth term

a1 = first term

r   = common difference

n  = number of the term

The sum of the n terms of an arithmetic sequence is given by:

\displaystyle S_n=\frac{a_1+a_n}{2}\cdot n

We are given the first two terms of the sequence:

a1=5, a2=8. The common difference is:

r = 8 - 5 = 3

Thus the general term of the sequence is:

a_n=5+(n-1)3=5+3n-3=2+3n

\boxed{a_n=2+3n}

The formula for the sum is:

\displaystyle S_n=\frac{5+2+3n}{2}\cdot n

\displaystyle S_n=\frac{7+3n}{2}\cdot n

Operating:

\boxed{\displaystyle S_n=\frac{7n+3n^2}{2}}

4 0
3 years ago
Please help thanks and show work
My name is Ann [436]

First find the area of the triangle at the end.

Area of a triangle is 1/2 x base x height.

The triangle is a right triangle with a base of 4 and height of 3


area = 1/2 x 4 x 3 = 6 square cm


Now to find the volume multiply the area of the triangle by the length of the prism.


volume = 6 square cm x 11 cm = 66 cubic cm.


answer: 66 cm^3

6 0
2 years ago
Which set shows an average of 8?<br> A) A<br> B) B<br> C) A and B<br> D) none of the above
nasty-shy [4]

Answer: D

Step-by-step explanation:

None of the above

8 0
2 years ago
Read 2 more answers
A shipping company is creating their own shipping boxes. They have created a box with a volume of 800in^3 , a height of 8 inches
Firdavs [7]

Answer:

Length = 10 inches

Width = 10 inches

Step-by-step explanation:

The perimeter of the base is 40 inches, so we can write the following equation:

2*Length + 2*Width = 40

Length + Width = 20 (eq1)

The volume of the box is 800 in3, so we have:

800 = Length*Width*8

Length*Width = 100 (eq2)

From the (eq1), we have:

Length = 20 - Width

Using this value of Length in (eq2), we have:

(20 - Width)*Width = 100

20*Width - Width^2 - 100 = 0

Using Bhaskara's formula, we have:

Delta = b^2 - 4ac = 400 - 400 = 0

Width = -b/2a = -20/(-2) = 10 inches

Length = 20 - Width = 20 - 10 = 10 inches

So the length is 10 inches and the width is 10 inches

3 0
3 years ago
Read 2 more answers
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