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Trava [24]
4 years ago
15

Brad has a stack of 7 books on his desk. Each book is 1 and 7/8 inches thick.How tall is the stack?

Mathematics
1 answer:
lora16 [44]4 years ago
7 0
1 7/8 times 7 equals  13 1/8
Hope this helps :D

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What is the sum of the first 37 terms of the arithmetic sequence?
lidiya [134]

Answer:

The sum of the first 37 terms of the arithmetic sequence is 2997.

Step-by-step explanation:

Arithmetic sequence concepts:

The general rule of an arithmetic sequence is the following:

a_{n+1} = a_{n} + d

In which d is the common diference between each term.

We can expand the general equation to find the nth term from the first, by the following equation:

a_{n} = a_{1} + (n-1)*d

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

S_{n} = \frac{n(a_{1} + a_{n})}{2}

In this question:

a_{1} = -27, d = -21 - (-27) = -15 - (-21) = ... = 6

We want the sum of the first 37 terms, so we have to find a_{37}

a_{n} = a_{1} + (n-1)*d

a_{37} = a_{1} + (36)*d

a_{37} = -27 + 36*6

a_{37} = 189

Then

S_{37} = \frac{37(-27 + 189)}{2} = 2997

The sum of the first 37 terms of the arithmetic sequence is 2997.

6 0
3 years ago
I got these wrong help needed plz !!
Lyrx [107]

tiene que sacar la raiz nena

4 0
4 years ago
Read 2 more answers
A rectangular field will be fenced on all four sides. There will also be a line of fence across the field, parallel to the short
Dimas [21]

Answer:

150m by 300 m

Step-by-step explanation:

150×300=45000

all sides add up to 900m

150+150+300+300

3 0
3 years ago
A letter is drawn at random from the word MATHEMATICS .Find the probability that the letter is vowel given that it appears only
Lapatulllka [165]
It should be 1 over 2 or 1 over 11 but im pretty sure its the first one I picked

5 0
3 years ago
Find the measure of the smaller angle formed by hands of a clock at the following time.
goldfiish [28.3K]
A clock is a circle which is 360 degrees.

There are 12 hours -----> 360/12 = 30 degrees.

Going clockwise, add 30 degrees for every hour the hour hand is at.

There are 60 minutes -----> 360/60 = 6 degrees.

Add 6 degrees for every minute the minute hand is at.

Find position of both hour hand and minute hand, then take the difference.

Time is 5:15.
Hour hand is at 5 plus 15/60 or 5.25.
Multiply by 30. 30*5.25 = 157.5

Minute hand is at 15.
Multiply by 6. 15*6 = 90

157.5 - 90 = 67.5 degrees.


5 0
4 years ago
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