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Zielflug [23.3K]
3 years ago
12

88.5 x = 8,850 It’s a decimal

Mathematics
1 answer:
dmitriy555 [2]3 years ago
3 0

Answer:

100

Step-by-step explanation:

let the unknown number be y

y= 8850/88.5

y=100

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The rectangle below has an area of 81- x^2 square meters and a width of 9 - x meters
sveta [45]

Answer:

The width would be 9 + x

Step-by-step explanation:

In order to find this, we must first factor the area. This will give us two things that are being multiplied together.

81 - x^2 = (9 - x)(9 + x)

Since the area is the length times the width and the width is x - 9, we know the length must be x + 9

6 0
4 years ago
If there is a ratio of 3 to 2 what is the ratio of 3if the total is 30
xxMikexx [17]
45 will be the answer of 3 because 30 divide in 2 is 15. and 15x3 is 45.
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7 0
4 years ago
Prove the segments joining the midpoint of consecutive sides of an isosceles trapezoid form a rhombus. use the distance formula
riadik2000 [5.3K]
In order to prove this, we have to put the trapezoid to the coordinate system. In the attached photo you can see how it has to be put. The coordinates for the vertices of trapezoid written according to the midpoint principle. By using the distance between two points formula, we can find the coordinates for the vertices of the rhombus. 
D_{x} = \frac{-2b-2a}{2}=-b-a and D_{y}= \frac{2c+0}{2}=c. The coordinates of D is (-b-a, c)
E_{x} = \frac{-2b+2b}{2}=0 and E_{y}= \frac{2c+2c}{2}=2c. The coordinates of E is (0,2c)
Since we have the reflection in this graph, the coordinates of F is (b+a, c)
And the coordinates of G is (0,0).

Using the distance formula, we can find that 
DE= \sqrt{(-b-a)^{2}+ c^{2}}=\sqrt{(b+a)^{2} + c^{2}}
EF= \sqrt{(b+a)^{2} + c^{2} }
GF= \sqrt{(b+a )^{2} + c^{2} }
DG= \sqrt{(b+a)^{2}+ c^{2} 

Since all the sides are equal this completes our proof. Additionally, we can find the distances of EG and DF in order to show that the diagonals of this rhombus are not equal. So that it is not a square, but rhombus. 

6 0
3 years ago
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jasenka [17]

Answer:

a

Step-by-step explanation:

8 0
3 years ago
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Write an equation (a) in slope intercept form and (b) in standard form for the line passing through (-2,6) and perpendicular to
Rudik [331]

Answer:

a) y = 3x+12

b) y-6 = 3(x+2)

Step-by-step explanation:

The equation of a line in slope-intercept form is expressed as y = mx+c

m is the slope or gradient

c is the intercept

We need to calculate the value of slope and intercept.

We will get the slope from the equation of line x+3y = 7

Rewriting the equation

3y = 7-x

y = 7/3 -x/3

M = -1/3

Since the equation if the unknown line is perpendicular to this line then Mm = -1 where m is the slope of the unknown line

m = -1/M

m = -1/(-1/3)

m = 3

To get c, we will substite the point given (-2,6) and the slope into the equation y = mx+c

6 = 3(-2)+c

6 = -6+c

c = 12

Substituting m= 3 and c = 12 into the standard form of the equation we have;

y = 3x+12 (This gives the required equation in its slope intercept form)

b) The standard form of a line is expressed as y-y1 = m(x-x1) where (x1,y1) are the points and m is the slope. On substituting the point {-2,6) and slope of 3 into this equation we will have:

y - 6 = 3(x-(-2))

y-6 = 3(x+2)

This gives the equation of the line in its standard form

8 0
4 years ago
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