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2 years ago

Point D is 1/2 of the distance between which two points?

Mathematics

1 answer:

USPshnik [31]2 years ago

5 0

Answer:

B and E

Step-by-step explanation:

B = - 6, D = - 2, E = 2

d(B, D) = - 2-(-6)= - 2 + 6 = 4 units

d(D, E) 2 - (-2) = 2 + 2 = 4

Since, d( B, D) = d( D, E)

Therefore, Point D is 1/2 of the distance between B and E.

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35 POINTS AVAILABLE

aliina [53]

Answer:

Part 1) The length of each side of square AQUA is $3.54\ cm$

Part 2) The area of the shaded region is $(486\pi-648)\ units^{2}$

Step-by-step explanation:

Part 1)

step 1

Find the radius of the circle S

The area of the circle is equal to

$A=\pi r^{2}$

we have

$A=25\pi\ cm^{2}$

substitute in the formula and solve for r

$25\pi=\pi r^{2}$

simplify

$25=r^{2}$

$r=5\ cm$

step 2

Find the length of each side of square SQUA

In the square SQUA

we have that

SQ=QU=UA=AS

$SU=r=5\ cm$

Let

x------> the length side of the square

Applying the Pythagoras Theorem

$5^{2}=x^{2} +x^{2}$

$5^{2}=2x^{2}$

$x^{2}=\frac{25}{2}\\ \\x=\sqrt{\frac{25}{2}}\ cm\\ \\ x=3.54\ cm$

Part 2) we know that

The area of the shaded region is equal to the area of the larger circle minus the area of the square plus the area of the smaller circle

Find the area of the larger circle

The area of the circle is equal to

$A=\pi r^{2}$

we have

$r=AB=18\ units$

substitute in the formula

$A=\pi (18)^{2}=324\pi\ units^{2}$

step 2

Find the length of each side of square BCDE

we have that

$AB=18\ units$

The diagonal DB is equal to

$DB=(2)18=36\ units$

Let

x------> the length side of the square BCDE

Applying the Pythagoras Theorem

$36^{2}=x^{2} +x^{2}$

$1,296=2x^{2}$

$648=x^{2}$

$x=\sqrt{648}\ units$

step 3

Find the area of the square BCDE

The area of the square is

$A=(\sqrt{648})^{2}=648\ units^{2}$

step 4

Find the area of the smaller circle

The area of the circle is equal to

$A=\pi r^{2}$

we have

$r=(\sqrt{648})/2\ units$

substitute in the formula

$A=\pi ((\sqrt{648})/2)^{2}=162\pi\ units^{2}$

step 5

Find the area of the shaded region

$324\pi\ units^{2}-648\ units^{2}+162\pi\ units^{2}=(486\pi-648)\ units^{2}$

7 0

2 years ago

5/8+1/12 in the lowest terms

VladimirAG [237]

Answer:

17/24 i believe

Step-by-step explanation:

because 8 and 12 both have 24 as the lowest common multiple and 8x3 gets 24 and 12 times 2 gets 24

so the equation would be

15/24+2/24=17/24 which cant be simplified

3 0

2 years ago

What is 7 × 0.057 equal

Daniel [21]

Answer:

0.399

Step-by-step explanation:

3 4

0.057

x 7

_________

0.399

3 0

2 years ago

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Question 6: Simplify the expression 48-5+7X3 О А 16 O B 64 O C 150 O D 22

Verdich [7]

Answer: B. 150
48-5=43
43+7=50
50•3=150

7 0

2 years ago

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PLEASE HELPPPP!!! The number of songs Oliver has downloaded this year, divided by 12, is equal to 24. What is an equation that r

vlada-n [284]

Answer:

Step-by-step explanation:

8 0

2 years ago