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Rom4ik [11]
4 years ago
8

8775 find the prime factorization of the number

Mathematics
1 answer:
OLEGan [10]4 years ago
5 0

8775

/     \

3     2925

/       \

3      975

/       \

3      325

/       \

5      65

/       \

5      13

/       \

13      1


Prime Factors: 3, 3, 3, 5, 5, 13

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In the diagram below, AB = BD = BC, and mZA = 24°. Find<br> mZC.
snow_tiger [21]

Answer:

m∠C = 66°

Step-by-step explanation:

Since AB = BD, it means this triangle is an Isosceles triangle and as such;

∠BAD = ∠BDA = 24°

Thus, since sum of angles in a triangle is 180,then;

∠ABD = 180 - (24 + 24)

∠ABD = 180 - 48

∠ABD = 132°

We are told that BC = BD.

Thus, ∆BDC is an Isosceles triangle whereby ∠BCD = ∠BDC

Now, in triangles, we know that an exterior angle is equal to the sum of two opposite interior angles.

Thus;

132 = ∠BCD + ∠BDC

Since ∠BCD = ∠BDC, then

∠BCD = ∠BDC = 132/2

∠BCD = ∠BDC = 66°

3 0
3 years ago
A. Does the relationship of weeks passed and total number of followers represent a linear function? (0.5 points) B. What is the
vodomira [7]

The terms "linear function" in mathematics apply to two different but related ideas: A polynomial function of degree zero or one that has a straight line as its graph is referred to as a linear function in calculus and related fields.

a) Yes it does, because the graph of their relationship is a Straight line

b) Independent variables are variables whose variation does not depend on another. Number of works does not depend on followers. Therefore, it is independent

C)number of followers depend on the number of locks passing. It is dependent.

D) Slope = (Y₂- Y₁)/(x₂-x₁) = (100-82)/ (3-0) =  18/3 = 6

It represents the increase in number of followers per week,

E) y-intercept is value of y when x=0

y-intercept = 82. It means his initial number of followers

F) Slope-intercept form → y = mx + c m = slope горе C = y-intercept y = no of followers x= weeks.

Y=6x+82

Learn more about linear function here:

brainly.com/question/4025726

#SPJ10

7 0
2 years ago
Hannah sells real estate. She is paid 4% of the sale price of every house she sells. What is Hannah paid for selling a house at
Mariulka [41]

Answer:

$11,000

Step-by-step explanation:

275,000×4% = 11,000

8 0
3 years ago
What is the equation of a line, in general form, that passes through point (1, -2) and has a slope of 1/3. 1.x - 3 y - 7 = 2.x -
Nutka1998 [239]

Answer:

x- 3y - 7=0

Step-by-step explanation:

the line in the slope-intercept form:

  • y= mx+b

m= 1/3 and point given (1, -2) by using which we find y-intercept:

  • b= y-1/3x
  • b= -2- 1/3*1= - 7/3
  • y= 1/3x- 7/3

General form of a line is: ax+by+c= 0

converting:

  • y= 1/3x- 7/3  ⇒  3y= x- 7  ⇒  x- 3y - 7=0
5 0
3 years ago
Which equation models the problem below if c represents the number of babies whose eyes are closed? There are 12 babies in a pho
Pavel [41]

The correct answer is: 9 + c = 12

Further explanation:

Given

c = number of babies whose eyes are closed

So,

If the total number of babies are 12 then the sum of babies with eyes closed and eyes opened should be equal to 12.

As c is the number of babies with eyes closed and 9 is the number of babies with eyes opened then,

9+c = 12

The equation can be used to find the number of babies whose eyes are open

9+c-9 = 12 -9\\c = 3

Three babies have their eyes closed in the photograph.

Keywords: Linear equations, Word problems

Learn more about linear equations at:

  • brainly.com/question/537998
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#LearnwithBrainly

5 0
3 years ago
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