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True [87]
3 years ago
14

Directions- Find the indicated term of each arithmetic sequence.

Mathematics
1 answer:
____ [38]3 years ago
4 0

Answer:

1. 98.8 2. 194 3. 49 2/3

Step-by-step explanation:

I found the pattern of each of them

Here is the math I did for the 1st one: 1.3(1st number)+2.5*39(pattern times one less than the term number you want)=98.8

This is actually the first time I have done this, so I this should help both of us!!! Me with learning more math, and you with doing your own math.

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The length of one side of a triangle is 2 feet less than three times the length of its second side. The length of the third side
Zanzabum

Using a system of equations, it is found that the lengths of the sides of the triangle are given as follows:

0.91 feet, 0.73 feet, 1.23 feet.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are the lengths, given by x, y and z.

The length of one side of a triangle is 2 feet less than three times the length of its second side, hence:

y = 3x - 2.

The length of the third side is 3/4 of the sum of the lengths of the first two sides, hence:

z = \frac{3(x + y)}{4} = \frac{3(4x - 2)}{4}

The perimeter of the triangle is 17.5 feet, hence:

x + y + z = 17.5

x + 3x - 2 + \frac{3(4x - 2)}{4} = 17.5

4x + \frac{3(4x - 2)}{4} = 19.5

16x + 12x = 25.5

x = 25.5/28

x = 0.91.

Then the other sides are:

  • y = 3x - 2 = 3(0.91) - 2 = 0.73 feet.
  • z = \frac{3(4 x 0.91 - 2)}{4} = 1.23 feet

More can be learned about a system of equations at brainly.com/question/24342899

#SPJ1

4 0
2 years ago
Sandra throws an object straight up into the air with an initial velocity of 38 ft/s from a platform that is 30 ft above the gro
Makovka662 [10]

Answer:

The answer is C.

Step-by-step explanation:

Given formula h(t)=−16t2+v0t+h0 , where v0 is the initial velocity and h0 is the initial height.

In this case, the initial postion is a platform 30ft above ground so h0=+30

The initial velocity is 38 ft/s straight up into the air so v0=+38

h(t)=-16t2+38t+30

When the object hits the ground, h=0.

h=-16t2+38t+30=0

Simplifying 8t2-19t-15=0

(8t+5)(t-3)=0

t=-5/8 or 3

As time cannot be -ve, t=3s. The answer is C.

6 0
3 years ago
Read 2 more answers
In the interval 0° ≤x≤360°, find the values of x for which sin x=-0.8176. Give your answer to the nearest degree.
Alenkasestr [34]

Answer:

235, 305, 55

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Beth has 3/4 feet of ribbon to make bows it takes 1/12 a foot to make a bow how many bows can she make? create a visual fraction
Nesterboy [21]
She can make 9 bows.

6 0
4 years ago
Simplify the following expression:<br> 4x - (+3x)
Mashcka [7]

Answer:

Step-by-step explanation:

1x

Hope it helped you

7 0
3 years ago
Read 2 more answers
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