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3 years ago

Bored anyone wanna talk? or do a zo om?

Mathematics

2 answers:

Delicious77 [7]3 years ago

6 0

Answer:

ill talk

Step-by-step explanation:

sdas [7]3 years ago

6 0

Answer:

ill zoom again

Step-by-step explanation:

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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

3 years ago

3/4x < 33 Solve the inequality

slava [35]

answer:

x < 44

step-by-step explanation:

solve this like an equation

3/4x < 33

in order to solve this we can multiply this with the denominator first to cross out the fraction and be left with a whole number

3/4x < 33

3/4x(4) < 33(4)

3x < 132

x < 44

4 0

3 years ago

The angle of depression from the basketball hoop to Clairs eyes is 9.2degrees. The vertical distance from the ground to Claires

Norma-Jean [14]

X - difference between the height of the basketball hoop and the vertical distance from the ground to Clair´s eyes.
Using T O A:
tan (9.2°) = x / 22 ft
x = tan (9.2°) · 22 ft
x = 0.162 · 22 ft
x = 3.564 ft
The height of the basketball hoop is:
h = 5.6 + 3.564 = 9.164 feet

8 0

3 years ago

Read 2 more answers

Need help asap giving 20 points for right answer!!

andrey2020 [161]

Answer:

I think it's 600 I think it might be wrong

4 0

2 years ago

A person has to walk 100 m to go from position X in the north of east direction to the position B and then to the west of Y to r

aleksandrvk [35]

Answer:

The distance between X and Y is 68m

Step-by-step explanation:

Consider the diagram attached:

A person starts from X, goes to Y, and then finally goes to Z, covering a total of 100m, where Z is located 60m in north of X.

We have to find distance XY.

Let the distance XY be x

Total distance covered by the person = XY + YZ

We know that total distance covered is 100m, so

100m = x + YZ

YZ = (100 - x)m

See the diagram, XZY forms a right angled triangle such that:

Hypotenuse = XY = x

Base = XZ = 60m

Perpendicular = YZ = (100-x)m

Using Pythagoras theorem

Hypotenuse² = Base² + Perpendicular²

x² = (60)² + (100-x)²

Solve the equation for x, we get:

x = 68m

6 0

3 years ago

Bored anyone wanna talk? or do a zo om?​

Bored anyone wanna talk? or do a zo om?