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STatiana [176]
3 years ago
12

Gcf using prime factorization of 52 and 65

Mathematics
1 answer:
Leto [7]3 years ago
3 0
<span>25: 2 × 2 × 13 65: 5 × 13</span>
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Need Help Please, This One Is A Bit Difficult.
emmainna [20.7K]

Answer: 432 units²

Step-by-step explanation:

The figure is composed by two trapezoids.

The formula for calculate the area of a trapezoid is:

A=\frac{h}{2}(B+b)

Where "B" is the larger base, "b" is the smaller base and "h" is the height.

Let be A_f the area of the figure, A_1 the area of the trapezoid on the left and A_2 the area of the trapezoid of the right. Then the area of the figure will be:

 A_f=A_1+A_2

A_f=\frac{h_1}{2}(B_1+b_1)+\frac{h_2}{2}(B_2+b_2)

Substituting values, you get:

A_f=\frac{16units}{2}(25units+4units)+\frac{10units}{2}(25units+15units)=432units^2

<h3> </h3>

8 0
3 years ago
Read 2 more answers
the ratio of 3 numbers is 2:3:4.the largest number is 10 more than the smallest. what is the middle number
MissTica
See, pls, the offered decision:
1. this ratio has another form: 2x/3x/4x;
2. the difference between the largest and the smallest is 4x-2x=10.
Then x=5, and the sequence of numbers is 10/15/20, where 15 is the middle number.
Answer: 15.
3 0
3 years ago
Write the equation of the trigonometric graph.
prisoha [69]

Answer:

f(x)= \sin(6x)+3

Step-by-step explanation:

The parent function of this graph is:  y = sin(x)

The sine function is periodic, meaning it repeats forever.

Standard form of a sine function:

f(x) = \sf A \sin (B(x + C)) + D

  • A = amplitude (height from the mid-line to the peak)
  • 2π/B = period (horizontal distance between consecutive peaks)
  • C = phase shift (horizontal shift - positive is to the left)
  • D = vertical shift

The parent function y = sin(x) has the following:

  • Amplitude (A) = 1
  • Period = 2π
  • Phase shift (C) = 0
  • Vertical shift (D) = 0
  • Mid-line:  y = 0

From inspection of the given graph:

  • Amplitude (A) = 1
  • \sf Period=\dfrac{\pi}{12}-\dfrac{-\pi}{4}=\dfrac{\pi}{3}
  • Phase shift (C) = 0
  • Vertical shift (D) = +3  (as mid-line is y = 3)

\sf If\:Period=\dfrac{\pi}{3} \implies \dfrac{2 \pi}{B}=\dfrac{\pi}{3}\implies B=6

Substituting the values into the standard form:

\implies f(x) =1 \sin (6(x + 0)) + 3

\implies f(x) = \sin (6x) + 3

Therefore, the equation of the given trigonometric graph is:

f(x)= \sin(6x)+3

6 0
2 years ago
What would the answers to these be?
amm1812

The first equation, 8x - 9y = - 23

Obtain the equation in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = ( \frac{1}{2}, 3) and (x₂, y₂ ) = (- 4, - 1 )

m = \frac{-1-3}{-4-1/2} = (- 4)/- \frac{9}{2} = \frac{8}{9}

partial equation is y = \frac{8}{9} x + c

to find c substitute either of the 2 points into the partial equation

using (- 4, - 1 ), then

- 1 = - \frac{32}{9} + c ⇒ c = \frac{23}{9}

y = \frac{8}{9} x +\frac{23}{9} ← in slope- intercept form

the equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

rearrange the slope- intercept equation into this form

multiply through by 9

9y =  8x + 23 ( subtract 9y and 23 from both sides )

8x - 9y = - 23 in standard form


4 0
3 years ago
In decimal form, to the nearest tenth, what is the probability that a randomly selected riverside high school student is in twel
Kitty [74]

Answer: 0.4 which is choice C

====================================

Work Shown

Focus on the "riverside high school" row only

A = number of twelfth graders = 200

B = number of students = 500

P = probability of picking a twelfth grader

P = A/B

P = 200/500

P = 2/5

P = 0.4

8 0
3 years ago
Read 2 more answers
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