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Ulleksa [173]
4 years ago
13

A praying mantis is an interesting insect that can rotate its head 180 degrees.Suppose the praying mantis at the right is 10.5 c

entimeters long. What mixed number represents this length?
Mathematics
2 answers:
garri49 [273]4 years ago
4 0

Answer:

10\frac{1}{2} inches.

Step-by-step explanation:

We have been given that a praying mantis at the right is 10.5 centimeters long. We are asked to represent the given length as a mixed number.

We know that a mixed number consists an integer and a fraction. We can represent our given number as:

10.5\text{ cm}=10+0.5\text{ cm}

10.5\text{ cm}=10+0.5\times\frac{10}{10}\text{ cm}

10.5\text{ cm}=10+\frac{5}{10}\text{ cm}

10.5\text{ cm}=10+\frac{1}{2}\text{ cm}

10.5\text{ cm}=10\frac{1}{2}\text{ cm}

Therefore, the mixed number 10\frac{1}{2} represents the given length.

Charra [1.4K]4 years ago
3 0
10.5 = 10 1/2 explanation is 1÷2 =0.5
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Determine algebraically whether the given function is even, odd, or neither.
uranmaximum [27]
To check whether a function is odd or even, we simply substitute the argument by its negative version, namely "x" by "-x".

if the expression simplifies to resemble the original expression, that simply means the expression is even.  If it resembles the original negative expression, is odd.

\bf g(x)=-2x^3-9\\\\
-------------------------------\\\\
\stackrel{x=-x}{g(-x)}=-2(-x)^3-9\implies g(-x)=-2(-x)(-x)(-x)-9
\\\\\\
g(-x)=+2(x)(x)(x)-9\implies g(-x)=2x^3-9

 well, that doesn't look like the original - 2x³ - 9, so is not even.

and -f(x) would be 2x³ + 9, and that doesn't look like either, so is not odd.

thus is neither.
7 0
4 years ago
Let A= {a,b,c,d,e} and let B= {1,2,3,4,5} determine n(AxB)
777dan777 [17]

n(AxB) = 25

Step-by-step explanation:

AxB in sets is called Cartesian product. And is defined as a set of ordered pairs (a,b) where a belongs to A and b belongs to B.

Given

A = {a,b,c,d,e}

B = {1,2,3,4,5}

The number of elements for Cartesian product of two sets is determined by:

n(AxB) = n(A) * n(B)

Here

n(A) = 5\\n(B) = 5

So,

n(AxB) = 5*5 = 25

Hence,

n(AxB) = 25

Keywords: Sets, Cartesian Product

Learn more about sets at:

  • brainly.com/question/5102020
  • brainly.com/question/5147732

#LearnwithBrainly

7 0
3 years ago
Which plan to prove ∆ABD ≅ ∆CBD CANNOT be used based on the information in the diagram?
Kryger [21]

The plan that cannot be used to prove that the two triangles are congruent based in the given information is: b. ASA.

<h3>How to Prove Two Triangles are Congruent?</h3>

The following theorems can be used to prove that two triangles are congruent to each other:

  • SSS: This theorem proves that two triangles are congruent when there's enough information showing that they have three pairs of sides that are congruent to each other.
  • ASA: This theorem shows that of two corresponding angles of two triangles and a pair of included congruent sides are congruent to each other.
  • SAS: This theorem shows that if two triangles have two pairs of sides and a pair of included angle that are congruent, then both triangles are congruent to each other.

The two triangles only have a pair of corresponding congruent angles, while all three corresponding sides are shown to be congruent to each other.

This means that ASA which requires two pairs of congruent angles, cannot be used to prove that both triangles are congruent.

The answer is: b. ASA.

Learn more about congruent triangles on:

brainly.com/question/1675117

#SPJ1

5 0
1 year ago
mr. cuddy draws a triangle with a perimeter of 36cm. Principal Aranda says that the longest side measures 18 cm, How do you know
hichkok12 [17]

Answer:

See the procedure

Step-by-step explanation:

we know that

<u>The Triangle Inequality Theorem</u>, states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side

Let

a,b,c the lengths side of triangle

c is the greater side

The perimeter is equal to

P=a+b+c

P=36 cm

If c=18 cm

then

a+b=18

Applying the Triangle Inequality Theorem

a+b > c

18 > 18  ----> is not true

therefore

Principal Aranda is incorrect

The larger side cannot measure 18 cm

The largest side must be less than 18 cm

3 0
3 years ago
Can you help me please with this question
GREYUIT [131]

Answer:

132

Step-by-step explanation:

You can tell it is 132 from <ABC because the whole angle is a 180 degree angle now subtract 180-48 which is 132. please give me brainiest

6 0
3 years ago
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