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Yuliya22 [10]
1 year ago
5

1/2 to the 2nd power in fraction form

Mathematics
1 answer:
Rzqust [24]1 year ago
5 0

Answer:  \frac{1}{4}

Work Shown:

\left(\frac{1}{2}\right)^2 = \left(\frac{1}{2}\right)*\left(\frac{1}{2}\right) = \frac{1*1}{2*2} = \frac{1}{4}

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Find the equation of the sphere passing through P(negative 4 comma 7 comma 6 )and Q(8 comma negative 3 comma 5 )with its center
Juli2301 [7.4K]

Answer: The equation of the sphere is:

(x-2)^2 + (y-2)^2 + (z-5/2)^2 = sqrt(245)/2

Step-by-step explanation:

The centre of the sphere is the midpoint of the diameter, which is

1/2

[(-4,7,6) + (8,-3,5)] =(2,2,5/2)

The length of the diameter is

=sqrt |(8,-3,5) - (-4,7,6)|^2

=sqrt (12^2 + (-10)^2 + (-1)^2)

=sqrt (144+100+1)

=sqrt(245)

so the radius of

the sphere is:

1/2(sqrt(245)) = sqrt(245)/2.

The equation of the sphere is:

(x-2)^2 + (y-2)^2 + (z-5/2)^2 = sqrt(245)/2

4 0
3 years ago
PLEASE HELP ASAP (8th grade question)
Ahat [919]

Answer:

m∠2=35°, m∠1=35°

Step-by-step explanation:

∠2 and ∠4 equal 180° when added, so 180-145=35

all angles of a triangle equal 180°, so 180-∠3-∠2=∠1

180-110-35= 35

6 0
3 years ago
Which equation relates the number of triangles in the figure (n) to the perimeter of the figure (p)
WITCHER [35]

Answer:

Option d is correct.

Equation : P=7n+20.

Explanation;

Given the perimeter of each figure is;

Perimeter of triangle is equal to the sum of all the sides of a triangle.

Perimeter of 1 triangle is 21

Perimeter of 2 triangle is 34 and

Perimeter of 3 triangle is 41

Let n be the number of figure and P be the perimeter of the figure;

the only equation which satisfy the given perimeter is;

P=7n+20

Check:

for n =1 which means 1 triangle then;

P =7n+20 = 7 \cdot 1 +20 = 7+20 = 27

for n = 2 , [ i.e 2 triangle]

P =7n+20 = 7 \cdot 2 +20 = 14+20 = 34

and for n =3 [i.e, 3 triangles]

P =7n+20 = 7 \cdot 3 +20 = 21+20 = 41

Therefore, the equation P =7n+20 relates the number of triangles in the figure(n) to the perimeter of the figure(P).


3 0
3 years ago
1.Are AC^line and BE^line congruent? Explain.
Ksivusya [100]
Line AC has 7 spaces and line BE has 8

to know this you count from letter A to C which is 7.  and then B to E which is 8

They ARE NOT CONGRUENT 
3 0
3 years ago
ANSWER QUESTION A. ANSWER QUESTION B
RUDIKE [14]

Answer:

a. There is a causation relationship and positive trend between number of hours on homework and higher test scores.

b. 76

Step-by-step explanation:

a. Since the dots all follow a linear progression and increase closely together this is a positive trend and likely a causation relationship.

b. y=7x+41 can predict a test score. x is the number of hours, so if 5 if the number of hours then y=7(5)+41 = 35+41=76

6 0
3 years ago
Read 2 more answers
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