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Oksanka [162]
2 years ago
11

The 12th term of an arithmetic sequence is 29 and the 32nd term is 169. What is the the 25th term?

Mathematics
1 answer:
eduard2 years ago
6 0

Answer:

This is an arithmetic sequence since there is a common difference between each term. In this case, adding 5 5 to the previous term in the sequence gives the next term. In other words, an = a1 +d(n−1) a n = a 1 + d ( n - 1). This is the formula of an arithmetic sequence. Substitute in the values of a1 = 7 a 1 = 7 and d = 5 d = 5.

Step-by-step explanation:

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I need the answer plz
lakkis [162]

Answer:

GH = 7\sqrt{2}

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin45° = \frac{1}{\sqrt{2} }

sin45° = \frac{opposite}{hypotenuse} = \frac{HI}{GH} = \frac{7}{GH} = \frac{1}{\sqrt{2} } ( cross- multiply )

GH = 7\sqrt{2}

5 0
4 years ago
I need help with this problem
Elis [28]
-32/1. Is the answer you just divide too and bottom by the bottom number which 3 is an common factor in both #,s
6 0
3 years ago
According to the Rational Root Theorem, which is not a possible solution of the
trapecia [35]

Answer:

  5/2

Step-by-step explanation:

Possible rational roots are ...

  ±(divisor of 9)/(divisor of 2)

So, the possibilities are ...

  ±1/2, ±1, ±3/2, ±3, ±9/2, ±9

The one on your list that is not among these is 5/2.

5/2 is not a possible rational root.

8 0
3 years ago
Donna sent her grandson a birthday present. The box weighed 0.875 kilograms and the present itself weighed 6,800 grams. a. What
Nana76 [90]
A) We know that the box weighed 0.875 kg, and the present weighed 6,800 g. However we need the gross weight of the package in kg, so we have to convert the present's weight to kg. There are 1000 grams in 1 kg, so we can divide the present's weight by 100 to find the weight in kg:

\frac{6,800}{1000} =6.8 kg

Now that we have converted to grams, let's add the weight to get the total gross weight:

0.875+6.8=7.675 kg

So the gross weight of the package is 7.675 kg.

b) Shipping costs 74 cents per kg, so in order to find the total cost of shipping for the package, let's multiply the weight of the package by the cost of shipping:

\frac{7.675kg}{1}* \frac{74 cents}{kg}=567.95 cents

However the cost of shipping has to be in dollars. There are 100 cents in one dollar, so we need to divide the amount of cents that shipping costs by 100 to get the total in dollars:

\frac{567.95cents}{100} =5.68dollars

Now we know that the total cost of shipping, in dollars, is equal to $5.68.
7 0
4 years ago
Enter the equivalent distance in km in the box.
Delvig [45]
It is .6 of a kilometer 
4 0
3 years ago
Read 2 more answers
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