Which statements are true? Select three options. The line x= 0 is perpendicular to the line y= 3.

Mathematics

1 answer:

torisob [31]3 years ago

7 0

Answer:

True

Step-by-step explanation:

x = 0 is a vertical line. It's the y-axis.

y = 3 is a horizontal line.

x = 0 and y = 3 are perpendicular lines.

Answer: True

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Ce no

xenn [34]

Answer:

The height of the seat at point B above the ground is approximately 218.5 feet

Step-by-step explanation:

The given parameters are;

The radius of the Ferris wheel, r = 125 feet

The angle between each seat, θ = 36°

The height of the Ferris wheel above the ground = 20 feet

Therefore, we have;

The height of the midline, D = The height of the Ferris wheel above the ground + The radius of the Ferris wheel

∴ The height of the midline = 20 feet + 125 feet = 145 feet

The height of the seat at point B above the ground, h = r × sin(θ) + D

By substitution, we have;

h = 125 × sin(36°) + 145 ≈ 218.5 (The answer is rounded to the nearest tenth)

The height of the seat at point B above the ground, h ≈ 218.5 feet.

8 0

2 years ago

Zero cannot be classified as which type of number ?

Sav [38]

Natural number
that is 1,2,3,4,5,6...

7 0

3 years ago

Read 2 more answers

Given: △ACM, m∠C=90°, CP ⊥ AM

larisa86 [58]

Answer: The answer is $3\dfrac{4}{7}.$

Step-by-step explanation: Given in the question that ΔAM is a right-angled triangle, where ∠C = 90°, CP ⊥ AM, AC : CM = 3 : 4 and MP - AP = 1. We are to find AM.

Let, AC = 3x and CM = 4x.

In the right-angled triangle ACM, we have

$AM^2=AC^2+CM^2=(3x)^2+(4x)^2=9x^2+16x^2=25x^2\\\\\Rightarrow AM=5x.$

Now,

$AM=AP+PM=AP+(AP+1)\\\\\Rightarrow 2AP=AM-1\\\\\Rightarrow 2AP=5x-1.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(A)$

Now, since CP ⊥ AM, so ΔACP and ΔMCP are both right-angled triangles.

So,

$CP^2=AC^2-AP^2=CM^2-MP^2\\\\\Rightarrow (3x)^2-AP^2=(4x)^2-(AP+1)^2\\\\\Rightarrow 9x^2-AP^2=16x^2-AP^2-2AP-1\\\\\Rightarrow 2AP=7x^2-1.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(B)$