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Zepler [3.9K]
3 years ago
5

Help me out please !?

Mathematics
1 answer:
Korolek [52]3 years ago
4 0
21in.
1/2*base*height=area of a triangle
Side^4=square area
Square+Triangle(4)=total
Square=9      Triangle=3
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Select the equivalent expression. <br><br> A, B or C?
Alina [70]

Answer:

  A

Step-by-step explanation:

The relevant rules of exponents are ...

  (a^b)^c = a^(bc)

  a^-b = 1/a^b

__

  \left(\dfrac{2^{-10}}{4^2}\right)^7=\dfrac{2^{(-10)(7)}}{4^{(2)(7)}}=\dfrac{2^{-70}}{4^{14}}\\\\=\boxed{\dfrac{1}{2^{70}\cdot 4^{14}}}

6 0
3 years ago
Help me plz<br> thank u!
viktelen [127]

Answer:

x = 41

y = 65

z = 107

Step-by-step explanation:

y and 65 are vertically opposite angles. Vertically opposite angles are equal.

y = 65

74 + y + x = 180

74 + 65 + x = 180

139 + x = 180

x = 180 - 139

x = 41

z is the exterior angle, whereas 66 and x are interior angles in a triangle.

Formula : -

Exterior angle = Sum of two interior angles

z = 66 + x

  = 66 + 41

z = 107

6 0
3 years ago
How many more unit tiles must be added to the function f(x)=x2−6x+1 in order to complete the square?
Valentin [98]
<h2>8 unit tiles should be added</h2>

Step-by-step explanation:

       Function given is f(x)=x^{2}-6x+1. We wish to add more unit tiles to the function so that it becomes a complete square.

       Since the given function is of order 2, the side of the square will be order 1. Let us assume a general order 1 expression ax+b to be the side of the square.

       As the function forms the square after adding some p unit tiles, f(x)+p=(\text{Side of square})^{2}

x^{2}-6x+1+p=(ax+b)^{2}=a^{2}x^{2} +2abx+b^{2}

From comparision, a^{2}=1; 2ab=-6; b^{2}=1+p\\a=1; b=-3\\(-3)^{2}=p+1\\p=8

∴ 8 more unit tiles are required to complete the square.

10 0
3 years ago
Read 2 more answers
A health fitness research group wishes to estimate the mean amount of time (in hours) that members of a fitness center spend eac
Arlecino [84]

Answer:

the smallest sample size is 163

Step-by-step explanation:

The computation of the smallest sample size that meets these criteria is shown below:

n = (Z a/2 ×  Standard deviation  ÷ Margin of error ) ^2

Zα/2 at 0.05% LOS is = 1.96 ( From Standard Normal Table )

Standard Deviation ( S.D) = 2.6

Margin of error i.e. ME =0.4

n = ( 1.96 × 2.6 ÷ 0.4) ^2

= 163

Hence, the smallest sample size is 163

6 0
2 years ago
Find the numerical value of one trigonometric function of x for csc x = sinxtan + cos x
jenyasd209 [6]

Answer:

cot x = 1

Step-by-step explanation:

7 0
3 years ago
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