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The measure of the angle of elevation from the ground to the top of the ladder is 68.73 degrees

From the question given, we have the following parameters

Base of the building = 7feet

Height of the building = 18 feet

Required

angle of elevation

Using the SOH CAH TOA identity

tanФ = opp/adj

tanФ = 18/7

Ф = 68.73 degrees

Hence the measure of the angle of elevation from the ground to the top of the ladder is 68.73 degrees

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Question:

A ladder leans against a building. The top of the ladder reaches a point on the building, which is 18 feet above the ground. The foot of the ladder is 7 feet from the building. Find the measure of the angle of elevation from the ground to the top of the ladder.

Using linear function concepts, it is found that a set of ordered pairs with a slope of [tex]-\frac{1}{2}[/tex] is perpendicular to the given set.

A linear function is modeled by:

y = mx + b

In which:

When two sets are perpendicular, the multiplication of their slopes is -1. The set (1,8) and (2,10) has slope given by:

m = (10 - 8)/(2-1) = 2.

Then, for the perpendicular set:

2m = -1

m = -1/2.

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Answer: B. 3.25 inches

Step-by-step explanation:

two months right next to each other

65.5 = final

62.25 = start

65.5 - 62.25 = 3.25 inches

Answer:

3.25

Step-by-step explanation:

65.5 - 62.25

Answer:

A.

Step-by-step explanation:

Only table A shows a direct proportion between time and distance, so the answer is A.

Answer: −x2+

5

x

=

7

Move

7

to the left side of the equation by subtracting it from both sides.

−

x

2

+

5

x

−

7

=

0

Once the quadratic is in standard form, the values of

a

,

b

, and

c

can be found.

a

x

2

+

b

x

+

c

Use the standard form of the equation to find

a

,

b

, and

c

for this quadratic.

a

=

−

1

,

b

=

5

,

c

=

−

7

Step-by-step explanation:

The characteristics of a nonisomorphic spanning tree are:

This refers to the quality of a group of things not having the same form and is popularly used in mathematics to show and make identifications of maths objects that are structurally well-defined.

Hence, we can see that your question is incomplete so I gave you a general overview of the topic for better understanding.

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Answer:

5. c = 8pi cm

6. c = 18pi ft

7. c = 8.6pi in

8. c = 11/2pi m

Step-by-step explanation:

The circumference of a circle can be easily found using the formula: c = [tex]\pi[/tex]d, where the diameter is d.

Now you just plug your numbers into the formula!

5. c = pi x d

   c = 8pi cm

6. This one gives you the radius instead of the diameter. All you need to do now is to double the radius to find the diameter.

     9 ft x 2 = 18 ft

   Now, it follows the formula.

   c = pi x d

   c = 18pi ft

7. c = pi x d

   c = 8.6pi in

8. c = pi x d

   c = pi x 2(2 3/4m) - Note that this is a mixed fraction. To be able to multiply it, you need to convert it to an improper fraction.

  c = pi x 2(11/4)

  c = pi x 11/2

  c = 11/2pi m

:)

Answer:

A = 8 ; B = 6 and C = 4

Step-by-step explanation:

(-2) + A = 6

A = 6 + 2

A = 8

0 + B = 6

B = 6

2 + C = 6

C = 6-2

C = 4

Answer:

the answer is (3,4) is the solution to line A but to not line B

Answer:

f(x)^-1=x^2-3

Step-by-step explanation:

So I'm assuming you meant to include the 3 in the radical as well which would make sense given the domain restriction. To find the inverse you simply swap the x and y since the inverse function is when the domain and range are swapped.

[tex]y=-\sqrt{x+3}\\x=-\sqrt{y+3}\\-x=\sqrt{y+3}\\(-x)^2=y+3\\x^2-3=y\\f(x)^{-1}=x^2-3[/tex]

The value of y if x is equal to 5 is 75 and the value of y when x = 7 is 8/7

Variations shows the relationship between variables.

4) If y varies directly as x², hence;

y = kx²

27 = 9k
k = 3

In order to determine y if x = 5

y = 3(5*5)
Y = 75

Hence the value of y if x is equal to 5 is 75

5) If y varies inversely as x, hence;

y = k/x
k = xy
k = 16(1/2)

k = 8

If x = 7, the value of y will be;

y = 8/7

Hence the value of y when x = 7 is 8/7

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Answer:

B. Arm circles

Hope you have a great day :)

Answer:

Human coastal development has also helped jellyfish thrive. The structures and construction that we have placed in the water, such as piers, marinas, oil platforms, artificial reefs, refuse, rubble, aquaculture pens and structures, etc. provide an abundance of habitats for polyps to settle on.

The benefit value of the widget on the books of abc is $8

The given parameters are:

Cost price = $5 cash

Selling price = $8 account

The benefit value of the widget is the same as their selling price on account

Hence, the benefit value of the widget is $8

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The things that are to be done before creating a research question for a presentation are: option C, D, and E.

A research question can be defined as an issue, event or subject of inquiry that a researcher is keenly and deeply interested to provide a response or an answer to, when conducting a research.

Basically, the things that are to be done before creating a research question for a presentation are:

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Answer:

C, D, E

Step-by-step explanation:

Answer:

45 degree=√2/2

√2/2=12√2

we use criss-cross method

√2x/√ 2=12√2/√ 2

×=24

Step-by-step explanation:

if it confused you this is (/)is dividing

hope I helped

please mark me as brainlyst

Answer:

19

Step-by-step explanation:

tan35=x/20

20tan35=x

x=14.0041507641942

x+5=19.0041507641942

Nearest foot is 19

Answer:

Correct expression:

[tex]2x + 3y + 25[/tex]

Answer: None of the above

Step-by-step explanation:

Complementary Angles add up to 90

Supplementary Angles add up to 180

Parallel Angles are Supp., Comp., or Congruent

Answer:

58 cm

Step-by-step explanation:

if both shapes are squares, then the perimeter must be divide by all 4 equal sides

36 / 4 = 9, so each side of the first shape is 9 cm

40 / 4 =10 , so each side of the second shape is 10 cm

by putting the shapes together two of the side seal 1 side of each shape but 10-9 is 1 so add all three sides of the rest of the shape,

so 9+ 9+ 9= 27, then the three side of the second shape,

so 10+ 10+ 10= 30, then that extra 1 cm of difference from the size difference when put together,

so 27+ 30+ 1= 58 cm

[tex]\text{First I'd recommend replacing the number with just n.}\\\text{Now, multiply this number by 2:: 2n}\\\text{Multiply 10 by it:: 2n*10}[/tex]

[tex]\rule{300}{1.7}[/tex]

[tex]\text{6 is subtracted from (2n*10):: (2n*10)-6}[/tex]

[tex]\text{This gives a total of 20}[/tex]

[tex]\rule{300}{1.7}[/tex]

[tex]\text{(2n*10)-6=20}[/tex]

Answer: The perimeter of this triangle is 13.47.

Step-by-step explanation:

First you should choose your first two points on the triangle that are on the same line. In this case I'll start with C = (3,3) and B = (8,6)[tex]d = \sqrt{(3 - 8)^2 + (3-6)^2}[/tex]

*Note: Keep X and Y consistent in the distance equation.

The distance for CB = 5.831

After finding this distance continue onto a new set of points to find a new length of the triangle, my second set of points will be A = (5,7) and B = (8,6) to find the length of AB.

[tex]d = \sqrt{(5 - 8)^2 + (7-6)^2}[/tex]

The distance for AB = 3.162

Now you're going to need to use your final to points, in this case for me A and C, and find the length of your final segment. So, I'll use point A = (5,7) and point C = (3,3).

[tex]d = \sqrt{(5 - 3)^2 + (7-3)^2}[/tex]

The distance for AC =4.472

Then find the perimeter by adding up the three side lengths.

AB + CB + AC = P

[tex]5.831 +3.162+4.472=13.465[/tex]

Finally, round 13.465 to the nearest hundredth, 13.47.

*Note: Make sure not to round your answer until the end of the problem to avoid less accurate or even wrong answers.

Answer:

x = -2, -2

Step-by-step explanation:

3x² + 14x + 16 = 0

(3x+8) (x+2)

x = -8/3

x = -2

The solutions of the quadratic equation 3x² + 14x + 16 = 0 are x = -2 and x = -8/3.

To find the solutions of the quadratic equation 3x² + 14x + 16 = 0, we can use the quadratic formula.

The quadratic formula states that for an equation of the form ax² + bx + c = 0

The solutions for x can be found using the formula:

x = (-b ± √(b² - 4ac)) / (2a)

For the given equation 3x² + 14x + 16 = 0,

a = 3, b = 14, and c = 16.

Substituting these values into the quadratic formula, we get:

x = (-14 ± √(14² - 4.3.16)) / (2 × 3)

x = (-14 ± √(196 - 192)) / 6

x = (-14 ± √4) / 6

Now we have two possibilities for x:

x₁ = (-14 + √4) / 6

x₂ = (-14 - √4) / 6

Simplifying each expression:

x₁ = (-14 + 2) / 6

x₁ = -12 / 6

x₁ = -2

x₂ = (-14 - 2) / 6

x₂ = -16 / 6

x₂ = -8 / 3

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Using translation concepts, the graph of a translated function of [tex]y = \sqrt{x}[/tex] is given by:

On a coordinate plane, a curve starts in quadrant 3 and then increases into quadrant 1. It crosses the y-axis at (0, negative 2) and crosses the x-axis at (1.5, 0).

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

[tex]y = \sqrt{x}[/tex] starts at (0,0) and in it's entirety, is in quadrant 1. When it is shifted down and left, it will start on quadrant 3 and increase into quadrant 1, hence the correct option is given by:

On a coordinate plane, a curve starts in quadrant 3 and then increases into quadrant 1. It crosses the y-axis at (0, negative 2) and crosses the x-axis at (1.5, 0).

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Answer:

A

Step-by-step explanation:

I took it

Answer:

2.3p – 10.1 = 6.49p – 4  [tex]\huge \checkmark[/tex]

230p – 1010 = 650p – 400 – p  [tex]\huge \checkmark[/tex]

Step-by-step explanation:

……………………………………………

2.3p – 10.1 = 6.5p – 4 – 0.01p

⇔ 2.3p – 10.1 = (6.5p – 0.01p) – 4

⇔ 2.3p – 10.1 = (6.5 – 0.01)p – 4

⇔ 2.3p – 10.1 = (6.49)p – 4

⇔ 2.3p – 10.1 = 6.49p – 4

_______________________

_______________________

2.3p – 10.1 = 6.5p – 4 – 0.01p

⇔ 100 × (2.3p – 10.1) = 100 × (6.5p – 4 – 0.01p)  multiply both sides by 100

⇔ 100 × (2.3p – 10.1) = 100 × (6.5p – 4 – 0.01p)

⇔ 230p – 1010 = 650p – 400 – p

……………………………………………………

Answer:

a) Angle X = 108°

as AD is parallel to EH both the angles are equal

Answer:

108 degrees, vertical angles

Step-by-step explanation:

Angle x is 108 degrees because angle x and angle EFB are vertical angles, meaning that they are equal since opposite angles have the same measures.

Brainliest, please :)

Answer:

x = 3

Step-by-step explanation:

6x + 7 = 9x - 2

-3x = -9

x = 3