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2 years ago

Regina writes the expression y + 9 · ¼. Which expression is equivalent to the one Regina writes?

Mathematics

1 answer:

Alika [10]2 years ago

5 0

Answer:

Regina writes the expression y +9.3/4

Using The commutative property

a + b = b + a

= 9.3/4 + y

= (9.3/4) + y

Step-by-step explanation:

Regina writes the expression y +9.3/4

Using The commutative property

a + b = b + a

= 9.1/4 + y

= (9.1/4) + y

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What is the center or a circle represented by the equation (x+9)2 + (y-6)2 = 10 to the power of 2

m_a_m_a [10]

Answer:

(-9,6)

Step-by-step explanation:

The general equation of a circle is given as:

x²+y²+2gx+2fy+c = 0

The centre of the circle is (-g,-f)

Given the equation of the circle

(x+9)² + (y-6)² = 10²

First we need to expand and write it in the general form. On expansion:

x²+18x+81+y²-12y+36 = 100

Collecting like terms

x²+y²+18x-12y+81+36-100 = 0

x²+y²+18x-12y+17 = 0

Comparing to the general equation

2gx = 18x

g = 9

2fy = -12

f = -6

The center of the circle = (-g, -f)

= (-9,-(-6))

= (-9, 6)

4 0

3 years ago

What is the length of BC¯¯¯¯¯ ?

svlad2 [7]

Hello!

The length of side BC can be found by using the Law of Sines. This law states,

a / sin A = b / sin B = c / sin C.

Given:

Angle A = 51.2 degrees

Angle B = 60.3 degrees

Side AC (or B) = 21 cm

Side BC (or A) = ? cm

Let's plug in these values into the formula to find the missing side length.

a / sin (51.2) = 21 / sin (60.3)

a / sin (51.2) = 24.1759... (multiply both sides by sin(51.2)

a = 24.1759 · sin (51.2)

a = 18.841...

18.841 can be rounded to 19.

Therefore, the length of side BC is equal to 19 centimeters.

5 0

2 years ago

Use the figure to identify each pair of angles as complementary angles, supplementary angles, vertical angles, or none of these.

zhenek [66]

Answer:

a is true and becomes complimentary as they both add up to 90 degree.

b. is true it is the only vertical angle group. As points AE, and BD cross and create these angles.

c is supplementary as both 3,4 together add up to 180

but each of these do not fit other description, as 5,1 would be also supplementary if 2 was in that group.

Step-by-step explanation:

Points 3, 4 as a group and 3,2,1 as a group and 2,1,5 as a group are each supplementary as each group add up to 180 degree. 1,5 on its own is not supplementary

Points 2 is complimentary on its own and also 1,5 combined are complimentary so this is true and 1,5 on its own as a group is complimentary.

Points 3,5 become vertical angles as a group.

Angles A:B + D:E are also vertical angles this shows points 1,2 and 4 as a group of vertical angles.

Vertical Angles are the angles opposite each other when two lines cross. "Vertical" in this case means they share the same Vertex (corner point), not the usual meaning of up-down

8 0

3 years ago

All sides of quadrilateral ABCD ABCD A, B, C, D are tangent to circle PPP. What is the perimeter of the quadrilateral below?

noname [10]

Answer:

The answer is below

Step-by-step explanation:

A tangent is a line which touches a circle at one point. The angle between a tangent and a circle is 90°.

The two tangent theorem states that tangent that meet at the same point are equal in length.

Therefore:

CD = c + d

but c = 5.1, hence:

CD = 5.1 + d

12.1 = 5.1 + d

d = 7

AD = a + d; but AD = 12.2, d = 7

12.2 = a + 7

a = 5.2

AB = a + b; but b = 3.3

AB = 5.2 + 3.3 = 8.5

BC = b + c = 3.3 + 5.1 = 8.4

Perimeter of ABCD = AB + BC + CD + AD = 8.5 + 8.4 + 12.1 + 12.2 = 41.2

4 0

2 years ago

All of the following should be included in the results section of a t test except:

Nikolay [14]

Answer:

Levene confidence intervals ( b )

Step-by-step explanation:

T- test should include all of the following in the results section except the Levene confidence intervals.The confidence intervals may be constructed for various power values using the binomial distribution.

The dependent measure , the size and the Homogeneity of variance test are all included in the results section of a t-test

5 0

3 years ago