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Murrr4er [49]
3 years ago
11

Using the side lengths, determine whether the triangle is acute, obtuse or right 9 5 10

Mathematics
1 answer:
Fed [463]3 years ago
5 0

An acute triangle

Step-by-step explanation:

Using a calculator, these measurements fit an acute scalene triangle.

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A path 1 m wide is build around a garden that is a 30-meter square. What is the area taken by the path?
maria [59]

Length of outer boundary =30m

So area of outer boundary =30×30

= 900m²

Length of inner boundary of path=30-1= 29m

Inner area =29×29 =841m²

So area of path is= outer area - inner area

=900- 841

= 59m²

6 0
2 years ago
Angie divides the polynomial function f(x)=x3+3x2−7x−21 by (x + 3). What can she conclude from the fact that the remainder is eq
iren [92.7K]

Answer:

See below

Step-by-step explanation:

<u>Given function</u>

  • f(x)=x³ + 3x²- 7x - 21

<u>We can find its factors:</u>

  • x³ + 3x² - 7x - 21 =
  • x²(x + 3) - 7(x + 3) =
  • (x² - 7)(x + 3)

We can conclude that the given polynomial function is fully divisible by (x + 3) and the quotient is (x² - 7)

Also one of zeros of the function is -3

8 0
3 years ago
Compute: 245 * 1,493. Show your work.
sesenic [268]
0 + 0 + 5 = 5

0 + 2 + 6 = 8

6 + 7 + 4 = 17
Put the 7 in the appropriate column and carry the 1.

<span>8 + 9 + 7 + </span><span>1(carried)</span><span> = 25</span>
Put the 5 in the appropriate column and carry the 2.

<span>9 + 5 + </span><span>2(carried)</span><span> = 16</span>
Put the 6 in the appropriate column and carry the 1.

<span>2 + </span><span>1(carried)</span><span> = 3</span>

<span>So: 1493 × 245 = 365785</span>
4 0
3 years ago
Twelve percent of yesterday’s customers purchased premium-grade gasoline from GasCo. If 24 customers bought premium-grade gasoli
Oduvanchick [21]

Answer:

196

Step-by-step explanation:

100 divided by 12 is 8 r 4 24 x 8 = 192, 192 + 4 is 196

7 0
3 years ago
Carmen is simplifying the expression (6. 21 0. 93) 0. 7. She recognizes that 0. 93 and 0. 07 will combine to equal 1, so she wou
Stells [14]

To solve the problem w must know about the Associative property.

<h2>Associative property</h2>

The associative property states that the addition of the sum of two numbers (a,b) and a third number(c) is equal to the addition of the sun of the last two numbers(b, c) and the first number(a).

  • A+(B+C) = (A+B)+C

The property that will allow Carmen to do this without changing the value of the expression is the Associative property.

<h2>Explanation</h2>

Given to us

  • (6.21 + 0.93 ) + 0.07

<h3>Associative property.</h3>

Now, using Associative property,

(6.21 + 0.93 ) + 0.07

= 6.21 + (0.93 + 0.07)

=6.21 + (0.93 + 0.07)

Hence, the property that will allow Carmen to do this without changing the value of the expression is the Associative property.

Learn more about Associative property:

brainly.com/question/1680548

3 0
2 years ago
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