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yawa3891 [41]
3 years ago
9

Find the additive inverse of 9/10 need help

Mathematics
2 answers:
frosja888 [35]3 years ago
7 0

The Additive inverse only works when you add a to its oppositie leaving a sum of 0

For example, says 5 represents a.

5 + b = 0

B, is 5's additive inverse: -5

The reciprocal of 9/10, however, is 10/9

stira [4]3 years ago
4 0

Answer:

The additive inverse of -9/10 is 9/10.

Step-by-step explanation:

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3 years ago
Circle 1 has a diameter of 18 and circle 2 has a diameter of 20.
borishaifa [10]

Answer:

D. 59.66

Step-by-step explanation:

The formula is <em>A = \pi r^{2}[/tex\ Also the radius is half of the diameter. and [tex]\pi = 3.14</em>

so we need to find the area's

9 x 9 = 81

81 x 3.14 = 254.34

Next circle.

10 x 10 = 100

100 x 3.14 = 314

Now to find the difference.

314 - 254.34 = 59.66

59.66

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5 0
3 years ago
Whats the are of a parralelagram thats 9,3,20 23 5
vampirchik [111]

Answer:

Step-by-step explanation:

That is not a parallelogram. It has more than four sides.

Area of the white part of the figure is 4×20 = 80 m²

If you expand the figure to include the white part, its area is 9×23 = 207 m².

Green area = 207-80 = 127 m²

8 0
2 years ago
The outer and inner triangles are both equilateral and the circle touches all three sides of the outer triangle. If the area of
Brrunno [24]

Answer:

The area of outer Δ = 40 cm²

Step-by-step explanation:

∵ Area of the small triangle = 10 cm²

If we join the center of the circle with the 3 vertices of the inner Δ

These 3 segments are the radii of the circle

Now the inner triangle has 3 isosceles Δ their sides are r , r and s1 with vertex angle 120° ⇒ (360° ÷ 3 = 120°)

Where r is the radius of the circle and s1 is the side of the inner triangle

<em>By using cosine rule</em>

(s1)² = r² + r² - 2r²cos120 = r² + r² - 2r² (-0.5) = r² + r² + r² = 3r²

∴ s1 = r√3

∵ The radius of the circle ⊥ to the side of the outer Δ because the side of the outer Δ is a tangent to the circle

If we join a vertex of the outer Δ with the center of the circle

We will have a right angle triangle of two legs r and half s2 with angle 60° (120° ÷ 2 )between them ⇒ s2 is the side of outer Δ

∴ tan 60° = 1/2 (s2) ÷ r ⇒ √3 = 1/2 (s2) ÷ r = (s2)/2r

∴ s2 = 2r√3

∴ s2 : s1 = 2r√3 ÷ r√3 = 2 : 1

∴ The side of the outer Δ is double the side of the inner Δ

<em>By using similarity ratio</em>

A2/A1 = (s2/s1)² ⇒ A2 and A1 are the areas of outer and inner triangles

∴ A2 : A1 = (2/1)² = 4/1  

∴ A2 = 4 A1

∴ A2 = 4 × 10 = 40 cm²

5 0
3 years ago
Suppose that public opinion in a large city is 55% in favor of increasing taxes to support renewable energy and 45% against such
Harman [31]

Answer:

The approximate probability that more than 360 of these people will be against increasing taxes is P(Z> <u>0.6-0.45)</u>

                                              √0.45*0.55/600

The right answer is B.

Step-by-step explanation:

According to the given data we have the following:

sample size, h=600

probability against increase tax p=0.45

The probability that in a sample of 600 people, more that 360 people will be against increasing taxes.

We find that P(P>360/600)=P(P>0.6)

The sample proposition of p is approximately normally distributed mith mean p=0.45

standard deviation σ=√P(1-P)/n=√0.45(1-0.45)/600

If x≅N(u,σ∧∧-2), then z=(x-u)/σ≅N(0,1)

Now, P(P>0.6)=P(<u>P-P</u>   >     <u>0.6-0.45)</u>

                             σ          √0.45*0.55/600

=P(Z> <u>0.6-0.45)</u>

       √0.45*0.55/600

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