The quotient of a number, divided by 3, equals-8

The special right triangle is the right triangle that have acute angle values

that simplify the process of finding its dimensions.

The correct values are;

1. The angle the ladder makes with the ground, is approximately 66.93°

2. The length of YZ is approximately 19.18 ft.

3. CB = 7 ft. and AB = 7·√3 ft.

Reasons:

1. The length of the ladder = 15 ft.

Height of the ladder above the ground, h = 13.8 ft.

Required:

The angle the ladder makes with the ground.

Solution:

The angle the ladder makes with the ground is given by the equation;

[tex]sin(\theta) = \dfrac{Length \ of \ the \ ladder}{Height\ of \ the \ ladder \ above the \ ground} = \dfrac{13.8}{15} = 0.92[/tex]

[tex]\theta = arcsin\left(0.92 \right) \approx 66.93^{\circ}[/tex]

2. The given parameters are;

XY = 11

∠Z = 35°

YZ = Required

In a right triangle, the side facing the acute angle is a leg of the triangle.

Therefore;

XY is the opposite side to ∠Z

[tex]sin(\angle Z) = \dfrac{XY}{YZ}[/tex]

Which gives;

[tex]sin(35^{\circ}) = \dfrac{11}{YZ}[/tex]

[tex]YZ= \dfrac{11}{sin(35^{\circ}) } \approx 19.18[/tex]

YZ ≈ 19.18 ft.

3. AC = 14 ft.

∠A = 30

Required:

The length of the other two sides

Solution:

Where by AC is the hypotenuse side, we have;

CB = AC × sin(∠A)

Therefore;

CB = 14 × sin(30°) = 7

CB = 7 ft.

AB =  AC × cos(∠A) = 14 × cos(30°) = 7·√3

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1. The angle the ladder makes with the ground, is approximately 66.93°

2. The length of YZ is approximately 19.18 ft.

3. CB = 7 ft. and AB = 7·√3 ft.

[tex]y =\dfrac 12 \cdot x -4\\\\\implies y = \dfrac{x-8}2\\\\\implies 2y = x-8\\\\\implies x -2y=8[/tex]

Answer:

45*x-10

Step-by-step explanation:

10 less than a number would give you

x - 10

and the product of a number means your multiplying and your multiplying 45 so you would get

45*x

add them together and you get

45*x-10

Answer:

27.8

Step-by-step explanation:

You need to do brackets first

3.6-1.8 = 1.8

Then substitute

4.5 x 8- (0.4 + 9.6- 1.8)

0.4+9.6-1.8=8.2

4.5 x 8 - 8.2 =27.8

Answer:

I believe that its C, but don't get mad at me if I get it wrong

Answer:

da_mn the struggle is real

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

The arithmetic mean of the numbers - 16, - 9 and 4 is,

⇒ - 7

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Given that;

Numbers are,

⇒ - 16, - 9 and 4

Now, We can formulate;

The arithmetic mean of the numbers - 16, - 9 and 4 is,

⇒ (- 16 + (- 9) + 4 ) / 3

⇒ (- 16 - 9 + 4) / 3

⇒ - 21 / 3

⇒ - 7

Thus, The arithmetic mean of the numbers - 16, - 9 and 4 is,

⇒ - 7

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Answer: fraction:47/200 desimal:0.235

Step-by-step explanation:

Answer:

1.5 each friend

Step-by-step explanation:

6 divided by 4 = 1.5

Answer:

They are same side interior angles. Angle A measures 55°.

Step-by-step explanation:

Answer: 2,435

Step-by-step explanation:

trust

9514 1404 393

Answer:

Step-by-step explanation:

You always find the intercepts by setting the known coordinate to its known value and solving for the value of the unknown coordinate.

An x-intercept is always found on the line y=0. Setting y=0 and solving for x, we find ...

  0 = 2 -3x -2x^2

  x^2 +3/2x -1 = 0 . . . . . . . . . . . . . . . . divide by -2

  (x2^2 +3/2x +(3/4)^2) -1 -(3/4)^2 = 0 . . . . . complete the square

  (x +3/4)^2 = 25/16 . . . . . add 25/16 and write as a square

  x +3/4 = ±5/4 . . . . . . . take the square root

  x = -3/4 ±5/4 = -8/4, +2/4

The x-intercepts are -2 and +1/2.

__

A y-intercept is always found on the line x=0. Setting x=0 and solving for y, we find ...

  y^2 = 2 -0 -0

  y = ±√2

The y-intercepts are -√2 and +√2.

_____

A graphing calculator can give you a good idea of what the intercepts are.

Answer:

OMG️️

Step-by-step explanation:

What is this❓

what have you wrote✍️

Answer:

hye nice what have written tell then I will answer you.

Answer:

b.

This may be the complete question:

Wanda is a nurse at a busy city hospital. What qualities might help Wanda in her career?

a. Wanda is task oriented and likes to be alone.

b.  Wanda has a lot of energy and is a good multitasker.

c. Wanda has remarkable typing skills and does well with computers.

d. Wanda has very good concentration skills and likes to create things with her hands.

Answer: b.

The solution is: the surface area of the cylinder is 301.44 km².

Here, we have,

from the given diagram, we get,

For surface area of a cylinder:

A = 2(π) × (radius) × (height) + 2(π)×(radius squared)

For the first half of that equation:

2(π) × (radius) × (height)

2 × (3.14) × (4) × (8)

= 200.96 km²

Now the second half of that equation, the area of the circle ends:

2(π)×(radius squared)

= 2 × (3.14) × (4) × (4)

= 100.48 km²

Add them up:

200.96 km² + 100.48 km² = 301.44 km²

Hence, The solution is: the surface area of the cylinder is 301.44 km².

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Answer:

Yes it is an isosceles triangle

Step-by-step explanation:

We just need to see if the distance between two points is the same as the distance with two others

Distance between AB = (4 -(-1))² + (7 - 2)² = c²

                                        5² + 5² = c²

                                        25 + 25 = c²

                                        c = √50

Distance between AC = (11-(-1))² + (8 - 2)² = c²

                                        12² + 6² = c²

                                        144 + 36 = c²

                                        180 = c²

                                        c = √180

Distance between CB = (11-4)² + (8 - 7)² = c²

                                        7² + 1² = c²

                                        49 + 1 = c²

                                        50 = c²

                                        c = √50

Hence, this is an isosceles triangle because AB and CB are congruent in length.

-Chetan K

We need to verify if any of two sides are equal then it is an isosceles triangle.

Refer to the attachment now

Answer:

Roopa: 10

Amita: 14

Step-by-step explanation:

5x+7x=24

12x=24

x=2

5x=10

7x=14

Answer:

Step-by-step explanation:

5/7*24

=5/7*24

=17.14 apples

Answer:

the answer is 5,746 = c

Step-by-step explanation:

Answer:

total shipping cost

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

If the plane goes 250 per HOUR, then it will take that one hour to get to 250

Answer: 8:05

Step-by-step explanation:

Answer: 8:05

Step-by-step explanation:

Answer:

x - 2y = 0

Step-by-step explanation:

The two lines have the same slope because they are parallel, and their equations have the same form as x-2y+3=0​, with only the constant (3) being different.  Solving this equation for y to find the slope, we get:

x + 3 = 2y, or y = (1/2)x + 3/2.  The line passing through (0, 0) with the same slope must then be y = (1/2)x; this line represents a proportional relationship because y is a constant multiple of x with the constant of proportionality 1/2.  This result may be rewritten as 2y = x or x - 2y = 0.

Answer:

12 R20

Step-by-step explanation:

changed 41 to 40 and 533 to 500. work is in file above.

Answer:

1

Step-by-step explanation:

From -3 to -7 the distance is 4 (-3--7=4). Midpoint means that point -3 bisects the segment into two equal parts. So, the other endpoint is 4 units away from -3. Since -3+4=1, 1 is answer.

Answer:

2.5 s. d.

Step-by-step explanation:

Use the formula for calculating z scores:

      26 - 16

z = ------------- = 10/4 = 2.5

           4

Here the value 26 is 2.5 standard deviations above the mean (16).

ATQ

[tex]\\ \sf\longmapsto m+m+4+m+6=37[/tex]

[tex]\\ \sf\longmapsto 3m+10=37[/tex]

[tex]\\ \sf\longmapsto 3m=27[/tex]

[tex]\\ \sf\longmapsto m=9[/tex]

Answer:

x= 90 degrees

y=43 degrees

Step-by-step explanation:

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The equivalent value is ~

[tex] \boxed{17}[/tex]

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]