What is the fraction of -0.45

Answers

Answer 1
Answer: move the - sign away

0.45
that is 45 hundereths
45/100
-0.45=-45/100=-7/20

it is -45/100 or simplified to -7/20

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What is 1/14 x 28 in simplest form

Answers

7 goes into 14 twice.  7 goes into 28 4 times.  So 28/14 = 4(7)/2(7) [the sevens cancel] = 4/2 = 2

14 times 24=336 and that means that 1/14 is14 in whole numbers

Last year 3684 people went to a music festival. The number of people who went to the festival
this year was 2/3of last year’s figure.
How many people went to the festival this year?
A 1228
B 2442
C. 2456
D. 5526

Answers

2/3 of 3,684 people = 2,456 souls

That number appears to be the same as
the one that appears in Choice-'C'.

Petra is asked to color 6/6 of her grid. she must use 3 colors; blue read and pink. there must be more blue sections than red sections or pink sections. What are the different way Petra can color the sections of her grid and follow the rules

Answers

Answer;

1. 3 blues, 2 red, 1 pink.

2.3 blues, 2 pink, 1 red.

3. 4 blues, 1 red, 1 pink

The different ways in which Petra can color the sections of her grid and follow the rules are;

1. 3 blues, 2 red, 1 pink.

2.3 blues, 2 pink, 1 red.

3. 4 blues, 1 red, 1 pink

All these three ways follows the rules that; there must be three colors an also Blue sections are more than red sections or pink sections.

3 blue 2 red and 1 pink
4 blue 1 red 1 pink

Circle X is shown. Line segment X Y is a radius. Line segment Y Z is a tangent that intersects the circle at point Y. A line is drawn from point Z to point X and goes through a point on the circle. The length of the line segment from point X to the point on the circle is 8, and the length of the line segment from the point on the circle to point Z is 9.What must be the length of ZY in order for ZY to be tangent to circle X at point Y?

14 units
15 units
16 units
17 units

Answers

By applying Pythagorean' theorem, the length of ZY to be tangent to circle X is equal to: B. 15 units.

How to determine the length of ZY?

Since line ZY is tangent at point Y and the radius of a circle is always perpendicular to tangents, we can deduce the following points:

  • Line segment XY is perpendicular line segment ZY.
  • Triangle XYZ is a right-angled triangle.

Thus, the length of XZ is given by:

XZ = 8 + 9

XZ = 17 units.

Next, we would apply Pythagorean' theorem to find the required length of ZY:

XZ² = ZY² + XX²

17² = ZY² + 8²

ZY² = 289 - 64

ZY = √225

ZY = 15 units.

Read more on Pythagorean theorem here: brainly.com/question/23200848

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Answer:

i believe it is 15

Step-by-step explanation:

Circle X is shown. Line segment X Y is a radius. Line segment Y Z is a tangent that intersects the circle at point Y. A line is drawn from point Z to point X and goes through a point on the circle. The length of the line segment from point X to the point on the circle is 8, and the length of the line segment from the point on the circle to point Z is 9.

What must be the length of ZY in order for ZY to be tangent to circle X at point Y?

14 units

15 units    should be 15 units

16 units      NOT

17 units

Find the coordinate of the vertex of the following parabola algebraically. y=2x^2-28x+80

Answers

Answer:

vertex = (7, - 18)

Step-by-step explanation:

given a parabola in standard form : ax² + bx + c : a ≠ 0

Then the x- coordinate of the vertex is

x_(vertex) = - (b)/(2a)

y = 2x² - 28x + 80 is in standard form

with a = 2, b = -28 and c = 80, hence

x_(vertex) = - (-28)/(4) = 7

substitute x = 7 into the equation for corresponding value of y

y = 2(7)² - 28(7) + 80 = 98 - 196 + 80 = - 18

vertex = (7, - 18)


Is it true yes or no

Answers

Answer:

No it's false 2.1 > 2.09

Step-by-step explanation:


2.2 is greater than 2.09 .