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worty [1.4K]
2 years ago
13

Find the missing side length of the triangle.

Mathematics
2 answers:
rosijanka [135]2 years ago
7 0

Answer:

a = 1.5 in.

Explanation:

Using Pythagoras theorem:

a² + b² = c²

insert values

a² + 0.8² = 1.7²

a² = 1.7² - 0.8²

a² = 2.89 - 0.64

a² = 2.25

a = √2.25

a = 1.5

pentagon [3]2 years ago
5 0

Answer:

a  =   1.5 in.

Step-by-step explanation:

Use the Pythagoras Theorem:

1.7^2 = a^2 + 0.8^2

a^2 = 1.7^2 - 0.8^2

      = 2.25

a  =   1.5 in.

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The sum of series of 4+ 15 + 26 + ….. + 213
Gnom [1K]

Decompose the terms in the sum as

4 + 15 + 26 + \cdots + 213 = 4 + (4 + 11) + (4 + 2\times11) + \cdots + (4 + 19\times11)

so there are 20 terms in the sum. Then our sum simplifies to

4 + 15 + 26 + \cdots + 213 = 4\times20 + (0+1+2+\cdots+19)\times11

Now, if

S = 1 + 2 + 3 + \cdots + 17 + 18 + 19

we can reverse the order of terms to get the same sum,

S = 19 + 18 + 17 + \cdots + 3 + 2 + 1

so that doubling up the sum gives

2S = (1 + 19) + (2 + 18) + \cdots + (18 + 2) + (19 + 1) = 19\times20 \implies S=19\times10=190

So, our sum evaluates to

4 + 15 + 26 + \cdots + 213 = 4\times20 + 190\times11 = \boxed{2170}

5 0
2 years ago
A flower shop sells vases of mixed flowers. Each vase includes 3 roses. If the shop uses 882 roses, how many vases of mixed flow
Blababa [14]
Divide how many roses they use by how many is in each: 882/3=294. They sell 294 vases :)
4 0
4 years ago
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If f(x) = 4x – 11, what is the value of f(5)
polet [3.4K]

Answer: f(x) = 9

Step-by-step explanation:

Plug in wherever you see x the value of f(5)

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7 0
4 years ago
Find the area of each parallelogram
slega [8]

9514 1404 393

Answer:

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Step-by-step explanation:

The area is given by the formula you show. The height is measured perpendicular to the base.

1. A = bh = (10 m)(12 m) = 120 m²

2. A = bh = (6.5 ft)(4 ft) = 26 ft²

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3 years ago
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katen-ka-za [31]

Answer:

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Step-by-step explanation:

damon = 5 pancakes in 20 seconds

we do 20 x 3 and 5 x 3 to find how many pancakes he can flip in a minute

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