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3 years ago

Need help quick please

Mathematics

2 answers:

Mrrafil [7]3 years ago

7 0

Answer:

Disagree

Step-by-step explanation:

It is actuzlly 2, -1. Just turn your screen on its side to the right and look at the point.

valina [46]3 years ago

3 0

Answer:

Disagree

Step-by-step explanation:

Remember rotating 90 degrees means (y,-x)

A= (1,2)

A'= (2,-1)

So it is disagreed.

Hope this help :)

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What is the equation of the line that passes through the point (1,0) and is perpendicular to the line x+5y=30

Andre45 [30]

Answer:

The equation of line passing through points (1 , 0) is x - 5 y - 1 = 0

Step-by-step explanation:

Given equation of line as

x + 5 y = 30

Now, equation of line in standard form is y = m x + c

where m is the slope

So, x + 5 y = 30

Or, 5 y = - x + 30

Or, y = - $\frac{1}{5}$ x + 6

So, Slope of this line m = - $\frac{1}{5}$

Again , let the slope of other line passing through point (1 , 0) is M

And Both lines are perpendicular , So , products of line = - 1

i.e m × M = - 1

Or, M = - $\frac{1}{m}$

Or, M = - 1 × - $\frac{1}{\frac{1}{5}}$ = $\frac{1}{5}$

So, equation of line with slope M and points (1, 0) is

y - $y_1$ = M × (x - $x_1$ )

Or, y - ( 0 ) = $\frac{1}{5}$ × ( x - 1 )

Or, y = $\frac{1}{5}$ x - $\frac{1}{5}$ × 1

Or, y = $\frac{1}{5}$ x - $\frac{1}{5}$

or, y + $\frac{1}{5}$ = $\frac{1}{5}$ x

Or, 5×y + 1 = x

∴ 5 y + 1 = x

I.e x - 5 y - 1 = 0

Hence The equation of line passing through points (1 , 0) is x - 5 y - 1 = 0 Answer

7 0

3 years ago

Please show all work! Thank you so much

kolbaska11 [484]

The sum of the external angles of every polygon = 360 degrees
So the n-gon must have its interior angle sum = 360 degrees also.

So what polygon has interior angle sum = 360?

3 0

3 years ago

Please help ASAP Thank you

Degger [83]

Answer:

comparison

Step-by-step explanation:

comparison

7 0

3 years ago

Equilateral triangle ABC has an area of \sqrt{3}√ 3 . If the shaded region has an area of \piπK − \sqrt{3}√ 3 , what

Liono4ka [1.6K]

Answer:

The value of k = 4/3

Step-by-step explanation:

* Lets explain how to solve the problem

- An equilateral triangle ABC is inscribed in a circle N

- The area of the triangle is √3

- The shaded area is the difference between the area of the circle

and the area of the equilateral triangle ABC

- The shaded are = k π - √3

- We need to find the value of k

* At first lets find the length of the side of the Δ ABC

∵ Δ ABC is an equilateral triangle

∴ Its area = √3/4 s² , where s is the length of its sides

∵ The area of the triangle = √3

∴ √3/4 s² = √3

- divide both sides by √3

∴ 1/4 s² = 1

- Multiply both sides by 4

∴ s² = 4 ⇒ take √ for both sides

∴ s = 2

∴ The length of the side of the equilateral triangle is 2

* Now lets find the radius of the circle

- In the triangle whose vertices are A , B and N the center of the circle

∵ AN and BN are radii

∴ AN = BN = r , where r is the radius of the circle

∵ The sides of the equilateral angles divides the circle into 3 equal

arcs in measure where each arc has measure 360°/3 = 120°

∵ The measure of the central angle in a circle equal the measure

of the its subtended arc arc

∵ ∠ANB is an central angle subtended by arc AB

∵ The measure of arc AB is 120°

∴ m∠ANB = 120°

- By using the cosine rule in Δ ANB

∵ AB = 2 , AN = BN = r , m∠ANB = 120°

∴ $(2)^{2}=r^{2}+r^{2}-2(r)(r)cos(120)$

∴ $4=r^{2}+r^{2}-2(r)(r)(-0.5)$

∴ $4=r^{2}+r^{2}-(-r^{2})$

∴ $4=r^{2}+r^{2}+r^{2}$

∴ $4=3r^{2}$

- Divide both sides by 3

∴ $r^{2}=\frac{4}{3}$

- Take square root for both sides

∴ r = 2/√3

* Lets find the value of k

∵ Area circle = πr²

∵ r = 2/√3

∴ Area circle = π(2/√3)² = (4/3)π

∵ Area shaded = area circle - area triangle

∵ Area triangle = √3

∴ Area shaded = (4/3) π - √3

∵ Area of the shaded part is π k - √3

- Equate the two expressions

∴ π k - √3 = (4/3) π - √3

∴ k = 4/3

* The value of k = 4/3

7 0

3 years ago

The diagonal of a square is 27 cm long. The diagonal of a smaller square is 12 cm long. What is the difference between the lengt

kykrilka [37]

length of big square

$\sqrt{27} = 5.2$

length of small square

$\sqrt{12 } = 3.5$

difference between length of two square

=5.2-3.5

=1.7

7 0

3 years ago