Angle of elevation from a point 64 meters from the base of a building to the top of the building is 35o . Find the height of the building.

Answer: i took a screen shot hope it helps

Step-by-step explanation:

Answer:

Area = 154 m²

Step-by-step explanation:

i pressume base = 14 m

height = 22 m

Area of a triangle = 1/2 * base * height

Area = 1/2 * 14 * 22

Area = 154 m²

The area of the triangle is given by the equation A = 154 m²

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

Given data ,

Let the area of the triangle be represented as A

Now , the value of A is

Let the height of the triangle be h

The value of h = 22 m

Let the base of the triangle be b

The value of b = 14 m

Now , area of the triangle = ( 1/2 ) x Length x Base

Substituting the values in the equation , we get

Area of the triangle A = ( 1/2 ) x 22 x 14

Area of the triangle A = 154 m²

Therefore , the value of A is  154 m²

Hence , the area of the triangle is  154 m²

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Answer:

70%

Step-by-step explanation:

21/30=0.7

Answer:

The equation is already written in standard form.

:)

To calculate the z-score for a person who received a score of 81 on the recent quiz, we use the formula z = (x - μ) / σ, where x is the individual's score, μ is the mean of the class, and σ is the standard deviation of the class. Plugging in the values, we get z = (81 - 70) / 3.6, which simplifies to z ≈ 3.06. The z-score indicates how many standard deviations away from the mean the individual's score is. A z-score of 3.06 suggests that the person's score is quite high relative to the class mean.

To calculate the z-score, we first subtract the mean of the class from the individual's score (81 - 70) to sure the distance between the two values. Then, we divide this difference by the standard deviation of the class (3.6) to standardize the score. The resulting z-score of approximately 3.06 indicates that the individual's score is around 3 standard deviations above the mean. In a normal distribution, z-scores beyond ±2 are generally considered unusual or uncommon. Therefore, a z-score of 3.06 suggests that the person's score is quite exceptional and falls into the category of unusual performance in comparison to the class.

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Histogram of monthly payments for apartments in a particular neighborhood is flat and has no peaks, we can infer that the characteristic of Olivia's graph is that the data in the histogram is distributed uniformly. option A

Option a.) The data in the histogram is distributed uniformly: This option aligns with the description of a flat histogram with no peaks. In a uniform distribution, the data is evenly spread across the range of values, resulting in a flat histogram with no prominent peaks or clusters.

Option b.) Olivia's graph is positively skewed: This option suggests that the histogram would have a longer tail on the right side, indicating a concentration of data towards the lower end of the payment range. However, the given information states that the histogram is flat and lacks peaks, which is contrary to a positively skewed distribution.

Option c.) The histogram features multimodal distribution: A multimodal distribution implies the presence of multiple peaks in the histogram, indicating different modes or clusters within the data. However, the given information explicitly states that the histogram is flat and lacks peaks, making a multimodal distribution unlikely.

Option d.) Olivia's graph is negatively skewed: This option suggests that the histogram would have a longer tail on the left side, indicating a concentration of data towards the higher end of the payment range. However, the given information states that the histogram is flat and lacks peaks, which is contrary to a negatively skewed distribution.

In conclusion, the most appropriate characteristic of Olivia's graph based on the given information is that the data in the histogram is distributed uniformly (option a).

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Answer:

Step-by-step explanation:

See the steps as below

well, the difference is 39.14 - 38 = 1.14, so that's the tax.

if we take 38 to be the 100%, just the listed price alone, what is 1.14 off of it in percentage?

\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 38 & 100\\ 1.14& x \end{array} \implies \cfrac{38}{1.14}~~=~~\cfrac{100}{x} \implies 38x=114\implies x=\cfrac{114}{38}\implies x=3\)

Answer:

Measure of each angle is 108 and 72 degrees.

Step-by-step explanation:

Let's the angle  be "n"

Supplementary angle = 180 °

n- (180-x) = 36

n - 180 + n = 36

Combine like terms

n - 180 + n = 36

2n - 180 = 36

Add 180 to both sides of the equation

2n - 180+180 = 36+180

Simplify

2n = 216

Divide both sides of the equation by the same term

2n/2 = 216/2

Simplify

n = 108

2n = 216  

Measure of each angle

1st = 108

2nd = 180-108 = 72

[RevyBreeze]

Answer:

An angle measures 36° more than the measure of its supplementary angle. What is the measure of each angle?

Step-by-step explanation:

Let's the angle  be "n"

Supplementary angle = 180 °

n- (180-x) = 36

n - 180 + n = 36

Combine like terms

n - 180 + n = 36

2n - 180 = 36

Add 180 to both sides of the equation

2n - 180+180 = 36+180

Simplify

2n = 216

Divide both sides of the equation by the same term

2n/2 = 216/2

Simplify

n = 108

2n = 216  

Measure of each angle

1st = 108

2nd = 180-108 = 72

Based on the given steps the triangle ABC will be Congruent to triangle FGH because of the AAS Congruence .

What is AAS Congruence ?

the two triangle are said to be congruent based on the AAS Congruence when 2 angles and 1 non included side in one triangle are congruent to corresponding 2 angles and 1 non included side in another triangle.

So , in the question , based on the given steps we can say that ,
the two angles that are congruent is angle G and B , and angle A and angle F .

and the side that is congruent is BC = GH .

So  the triangle ABC and triangle FGH are congruent by AAS congruence .

Therefore , the correct option is (b) AAS Congruence Theorem .

The given question is incomplete , the complete question is

Step 1: we know that angle a b c is-congruent-to angle f g h because all right angles are congruent.

Step 2: we know that angle b a c is-congruent-to angle g f h because corresponding angles of parallel lines are congruent.

Step 3: we know that line segment b c is-congruent-to line segment g h because it is given.

Step 4: triangle a b c is-congruent-to triangle f g h because of the

(a) ASA congruence theorem.

(b) AAS congruence theorem.

(c) Third angle theorem.

(d) Reflexive property.

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The value of x in the circle and the tangent lines is 129.6 degrees

From the question, we have the following parameters that can be used in our computation:

The circle and the tangent lines

Using the relationship between arcs and tangent lines, we have the following equation

Major arc - Minor arc = 2 * angle between tangents

Substitute the known values in the above equation, so, we have the following representation

230.4 - x = 2 * 50.4

So, we have

230.4 - x = 100.8

This gives

x = 230.4 - 100.8

So, we have

x = 129.6

Hence, the value of x is 129.6

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The missing angles and side of the triangle are;

m∠FXD = 44°

EG = 14

m∠FZG = 32°

We are told that the angle bisectors of ΔXYZ are XG, YG and ZG

The parameters are;

∠DYE = 94°

∠FXG = 22°

Thus;

m∠FXD = 2* 22°

m∠FXD = 44°

The sum of angles in a triangle is 180 degrees. Thus;

m∠FZE + 94 + 22 = 180

m∠FZE = 180 - (94 + 22)

m∠FZE = 64°

Thus;

m∠FZG = 64°/2

m∠FZG = 32°

The incenter of a triangle lies at equal distances from the three line segments forming the sides of the triangle, and also from the three lines containing those segments. Thus;

DG = EG = FG = 14

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Answer:

she spent 11/35 hours

Step-by-step explanation:

first we change the denominator to its lcm, which is 35.

second, change its numerator so, 3/5 become 21/35 and 2/7 become 10/35.

then subtract, 21-10=11

so the answer is 11/35

The results of the mathematical multiplications contained in the annex to the question are:

It corresponds to the steps used to solve a mathematical problem, it is usually a method taught in elementary school, and is useful for solving problems with the mathematical operations of addition, subtraction, multiplication and division.

Therefore, to solve multiplication problems through the standard algorithm, the student must solve the problem by multiplying the problem in parts, that is, by multiplying one digit at a time from right to left, to arrive at the final solution.

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False. The derivative of the function f(x) = 5sin(x) + cos(x) is not equal to -5cos(x) - sin(x). The correct derivative of f(x) can be obtained by applying the rules of differentiation.

To find the derivative, we differentiate each term separately. The derivative of 5sin(x) is obtained using the chain rule, which states that the derivative of sin(u) is cos(u) multiplied by the derivative of u. In this case, u = x, so the derivative of 5sin(x) is 5cos(x).

Similarly, the derivative of cos(x) is obtained as -sin(x) using the chain rule.

Therefore, the derivative of f(x) = 5sin(x) + cos(x) is:

f'(x) = 5cos(x) - sin(x).

This result shows that the derivative of f(x) is not equal to -5cos(x) - sin(x).

In summary, the statement that f'(x) = -5cos(x) - sin(x) is false. The correct derivative of f(x) = 5sin(x) + cos(x) is f'(x) = 5cos(x) - sin(x).

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Answer: 1. D.0.5, 2.5

2. B 10,-1

3. B.-6,-6

4. C 7,5

5. D. Infinite number of solutions

6. A. -1,3

7. C. -1,-0.5

8. B. Seven $1....eight $5...

9. D. 200 muffins

10. A. 2y=1.5x-2 D.-4y+3x=-2

Step-by-step explanation:

i did the quiz, Gl, and thx!

Answer:

9mm

Step-by-step explanation:

34-16=18

18/2=9

Answer:

the answer is a but I have to make that extra long cuz it has to be more than 20 words

Answer:

a i just finished the test

The constant of proportionality from the proportional relationship is 3/2

A proportional relationship is a mathematical relationship between two variables in which their ratio is always equal. In other words, if x and y are in a proportional relationship, then y/x is always equal to a constant value, called the constant of proportionality. This can be expressed mathematically as y = kx, where k is the constant of proportionality and x and y are the variables in the relationship.

To determine the constant of proportionality, we need to use the proportional relationship given.

y = kx

k = constant of proportionality

3/8 = k(1/4)

Solve for k

k = [(3/8) / (1/4)]

k = 3/2

k = 1.5

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Celsius and Fahrenheit are units of measurement used to describe temperature. To convert degrees Celsius to Fahrenheit, we can use a simple formula that involves multiplying the Celsius temperature by 9/5 and then adding 32.

Using this formula, we can convert 46 degrees Celsius to Fahrenheit by first multiplying 46 by 9/5 to get 82.8. Then, we add 32 to get 114.8, which means that 46 degrees Celsius is equivalent to 114.8 degrees Fahrenheit. Understanding the relationship between these units can be useful in a variety of situations, such as cooking, determining the weather, and more.

It is important to note that this conversion is not exact and there may be some slight variations depending on the precision of the measurement. However, this formula provides a good approximation for converting temperatures between degrees Celsius and Fahrenheit.

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Answer: i think its zero

Step-by-step explanation:

or u can just look it up on an sigma math calculator and that should give u the answer

Answer:

your perimeter will be 40cm

The 4 sides of a square are the same length. Find the length of a side by taking the square root of the area.

Side = sqrt(100) = 10 cm

Perimeter = side length x 4

Perimeter = 10 x 4 = 40 cm

The rate of change for the height of the ice cream is [10 - (2π / 3) · (1 / 14) · h] / [(π / 3) · r²] units per second.

The volume of an ice cream cone (V), in cubic units, is described by the following formula:

V = (1 / 3) · (π · r²) · h                                     (1)

Where:

The rate of change for the height of the cone is derived from differentiating (1) with respect to time:

V' = (1 / 3) · (2π · r) · h · r' + (1 / 3) · (π · r²) · h'

V' = (2π / 3) · h · r' + (π / 3) · r² · h'

h' = [V' - (2π / 3) · h · r'] / [(π / 3) · r²]

Where:

If we know that V' = 10 and r' = 1 / 14, then the rate of change for the height of the cone is:

h' = [10 - (2π / 3) · (1 / 14) · h] / [(π / 3) · r²]

The height of the ice cream cone changes at a rate of [10 - (2π / 3) · (1 / 14) · h] / [(π / 3) · r²] units per second.

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Answer:

21 cubic inches (or cu. in)

Step-by-step explanation: Multiply 7 by three

Answer:

ijsdbf

dsad

Stepdvds-by-step explanation:

d

Answer:

15) A

Step-by-step explanation:

4x-2 + 7x + 17 = 180

11x + 15 = 180

11x = 165

x = 15

Because the two angles (4x-2 and 7x+17) are linear, we can say that they add up to 180 degrees.

4x-2+7x+17 = 180   Now, simplify like terms

11x + 15 = 180

11x = 165

x = 15

Thus, the value of x would be 15 (choice 1)

Answer:

5.2 or 5.2O

Step-by-step explanation:

add 2.6m + 2.60 which means add 2.60 + 2.60

2.60

+2.60

______

5.2 (the zero is optional)