What is the measure of Angle

You launch an object off a 55-foot cliff. If the object was launched at 85 feet/second,  64.23 feet/second long it will take for the object to hit the ground below. This can be solved using the concept of law of conservation of energy.

Three fundamental quantities all maintain their original values. Energy, momentum, and angular momentum are these. Energy is a conserved quantity, which could surprise you if you've read instances in previous pages, such the kinetic energy of charging elephants. The first law of thermodynamics, generally known as the law of conservation of energy, stipulates that the energy of a closed system must remain constant and cannot rise or fall on its own without external intervention.

Given that,

Height of the cliff, h= 55 Foot

Initial speed of the projectile, u = 85 m/s

Let, the projectile hit the ground with velocity "v"

Applying the law of conservation of energy,

mgh + 1/2 mu² = 1/2 mv²

or, m (gh + 1/2 u²) = 1/2 mv²

or, (gh + 1/2 u²) = 1/2 v²

or, 10 × 55 + (1/2 × (55)²) = 1/2 v²

or, 550 + 1512.5 = 1/2 v²

or, 2062.5 = 1/2 v²

or, 4125 = v²

or, v = 64.23 feet/second

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Answer:

E. C= 80+ 12n

Step-by-step explanation:

____________

Answer:

4

Step-by-step explanation:

1+1+1+1 or 2 + 2

Apple exist in the world. This particular tree only have 4 perfect apples total. Because you only have one friend, they help you pick 2 out of the 4 apples. Then you pick 2 of the other apple. Without dropping or eating them, he gave both of his apple to you . How many apple do you have without dropping or eating them?

Answer:

4

Step-by-step explanation:

Answer:

y = 4x - 11

Step-by-step explanation:

The general equation of the slope-intercept form of a line is given by:

y = mx + b, where

We can find b, the y-intercept of the line, by plugging in 4 for m and (3, 1) for (x, y) in the slope-intercept form:

1 = 4(3) + b

1 = 12 + b

-11 = b

Thus, the y-intercept is -11.

Thus, the equation of the line with a slope of 4 passing through the point (3, 1) in slope-intercept form is y = 4x - 11

The answer is:

Work/explanation:

First, we will write the equation in point slope:

\(\sf{y-y_1=m(x-x_1)}\)

where m = slope;

(x₁,y₁) is a point on the line.

Plug in the data:

\(\sf{y-1=4(x-3)}\)

Simplify

\(\sf{y-1=4x-12}\)

Add 1 on each side

\(\sf{y=4x-12+1}\)

\(\sf{y=4x-11}\)

Answer:

67.25

Step-by-step explanation:

Since they can each get 1/2 the jelly beans but need to eat it over 4 days they will be eating 1/2*1/4 jelly beans per day. This is equal to 1/8x where x is the total jelly beans. We know the total so we can plug 538 in for x and divide 538 by 8 to get 67.25

Step-by-step explanation:

f(x) = 0

-2x + 2x is always 0.

so, g(x) + f(x) = g(x) + 0 = g(x) = 2x.

long proof :

g(x) + f(x) = 2x + -2x + 2x = 2x

Step-by-step explanation:

I guess, the silent request here is that there will be no wire left after the 10th square.

and I guess, the following square does not reuse one side of the previous square. all squares are "standalone".

T stands for area ? well, ok.

when the side length doubles, the area quadruples (the area is side×side, and factor 2 × factor 2 = factor 4). but the perimeter still only doubles.

T1 = x × x = x²

T2 = x×2 × x×2 = x² × 4 = T1 × 4

Tn = Tn-1 × 4 = T1 × 4^(n-1) = x² × 4^(n-1)

so, Tn/Tn-1 = 4

but the geometric series for the perimeter is

p1 = 4x

pn = pn-1 × 2 = x × 2^(n+1)

and pn/pn-1 = 2

the sum of a finite geometric series with n elements is

s = p1 × (1 - r^(n))/(1 - r)

r is the common factor. in our case it is 2.

and we have 10 elements.

so, we know

8184 = 4x × (1 - 2^(10))/(1 ‐ 2) = 4x × (1-2¹⁰)/-1 =

= 4x × -1023 / - 1 = 4x × 1023

2046 = x × 1023

x = 2046/1023 = 2 cm

so, now finally for iii)

T10 (the last, biggest square) = x² × 4⁹ = 4×4⁹ = 4¹⁰ =

= 1,048,576 cm²

Answer:

x = 232

Step-by-step explanation:

Answer:

the answer would be 50 rounded to the nearest ten

Step-by-step explanation:

so sorry if this is not correct °3°

okay thanks for reading :P

The measure οf the supplementary angle οf x = 61.33° is fοund tο be 118.67°.

An angle is a figure in plane geοmetry that is created by twο rays οr lines that have a shared endpοint. The twο rays are termed the sides οf an angle, and the cοmmοn terminatiοn is called the vertex. Angles are typically expressed as degrees. A "prοtractοr" is a crucial geοmetrical instrument that aids in measuring angles in degrees. Twο sets οf numbers οn a prοtractοr are οriented in οppοsitiοn tο οne anοther. On the οutside rim, οne set gοes frοm 0 tο 180 degrees, while οn the inner rim, the οther set gοes frοm 180 tο 0 degrees.

Let the angle be x.

Twο angles are cοmplementary when their sum is 90°.

Tοw angles are supplementary when their sum is 180°

If x is οne angle, then its cοmplementary angle is (90-x)°

Given x is 4 mοre than twice its cοmplement.

We can write the equatiοn as:

x = 4 + 2*(90-x)

Sοlving,

x = 4 + 180 - 2x

3x = 184

x = 61.33°

Nοw we are asked tο find the supplementary angle οf x.

Supplementary angle = 180 - x = 180 - 61.33 = 118.67°

Therefοre the measure οf the supplementary angle οf x = 61.33° is fοund tο be 118.67°.

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Answer: No solution. 27=9

6 tables are required. Each prime number attender should serve 3 customers each.

The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

All the numbers other than prime numbers are composite numbers.

The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.

Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.

Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables

Therefore, 6 tables are required.

Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.

Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.

Thus, each prime number attender should serve 3 customers each.

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The smallest angle of the equilateral triangle is 60 degrees

If the sides of a triangle are in the ratio 4:4:3, it implies that the lengths of the sides are proportional.

To determine the type of triangle, we examine the side lengths. Since all three sides are equal in length, we have an equilateral triangle.

For an equilateral triangle, all angles are equal. To calculate the smallest angle, we divide the total sum of angles in a triangle (180 degrees) by the number of angles, which is 3:

Smallest angle \(= \frac{180}{3} = 60\)\) degrees.

Therefore, the smallest angle of the equilateral triangle is 60 degrees (to the nearest degree).

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The value of such that = k * 180, where k is an integer, is the value at which cotangent is undefinable.

Cotangent, or cot, is one of the six standard trigonometric functions. Cotangent of an angle is defined as the ratio of the adjacent side to the opposite side of a right-angled triangle.

The value of cotangent is undefined when the denominator is zero. This implies that cotangent is undefined at angles where the value of sine is zero.

Since the sine function is periodic and has a period of 360 degrees, the values of sine repeat themselves after every 360 degrees.

For this reason, cotangent is undefined at angles such that θ = k * 180, where k is an integer.

That is, cotangent is undefined at 0°, 180°, 360°, and so on. It is also important to note that cotangent is a periodic function, and its values repeat every 180 degrees.

Therefore, cotangent is undefined at 0° + k * 180°, where k is an integer.

To summarize, the value of Θ at which cotangent is undefined is such that θ = k * 180, where k is an integer.

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So, here we need to differentiate tan³\((\theta)\), wr.t.\(\theta\), but let's recall some identities which will be very useful in this question :

Coming back on the question, consider :

\({:\implies \quad \sf \dfrac{d}{d\theta}\{\tan^{3}(\theta)\}}\)

\({:\implies \quad \sf 3\tan^{3-1}(\theta)\dfrac{d}{d\theta}\{\tan (\theta)\}}\)

\({:\implies \quad \sf 3\tan^{2}(\theta)\sec^{2}(\theta)}\)

Using the identity ;

\({:\implies \quad \sf 3\tan^{2}(\theta)\{1+\tan^{2}(\theta)\}}\)

\({:\implies \quad \sf 3\tan^{2}(\theta)+3tan^{4}(\theta)}\)

\({:\implies \quad \sf 3\tan^{4}(\theta)+3\{\sec^{2}(\theta)-1\}}\)

\({:\implies \quad \boxed{\bf 3\tan^{4}(\theta)+3\sec^{2}(\theta)-3}}\)

Hence, Proved

Because the graph only intercepts the x-axis only once, the equation has only one solution. The correct option is the second one.

Here we want to see, based on a graph, how many solutions does the cubic equation:

x³ + 6x² + 12x +8 = 0

The graph of the function:

g(x) = x³ + 6x² + 12x +8

Can be seen below, the number of real solutions that the equation:

x³ + 6x² + 12x +8 = 0

has, will depend on how many times the graph intercepts the x-axis.

We can see that there is only one intercept, so there is one real solution.

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Answer:

6pi meters

Step-by-step explanation:

The formula for area of a circle is

A = pi r^2

9 pi  = pi r^2

Divide each side by pi

9 = r^2

Take the square root of each side

sqrt(9) = sqrt(r^2)

3 =r

Now we can find the circumference

C = 2 * pi *r

C = 2 * pi *3

C = 6pi meters

Answer:

6pi meters

Step-by-step explanation:

give the person above brainliest

have a good one!

Answer:

36

Step-by-step explanation:

-9*-4=36

Answer: Are you even still there?

Step-by-step explanation: You asked this question about an hour ago. You probably don't need help anymore. Thankyou!

Answer:

A' = (4, 4)

B' = (12, 4)

C' = (4, 10)

Step-by-step explanation:

Ok so you are given that the scale factor is 2. You will multiply 2 with the values given of point A, B, and C in order to find the value of point A', B', and C'.

A = (2, 2) ---> 2 × 2 = 4 and 2 × 2 = 4

A' = (4, 4)

B = (6, 2) ---> 6 × 2 = 12 and 2 × 2 = 4

B' = (12, 4)

C = (2, 5) ---> 2 × 2 = 4 and 5 × 2 = 10

C' = (4, 10)

Hope this helps and stay safe, happy, and healthy, thank you :) !!

In a hexagonal-close-pack (HCP) unit cell, the ratio of lattice points to octahedral holes to tetrahedral holes =  1 : 1 : 2 is AB3

let the :

Number of lattice point = 1x.

Number of octahedral points = 1x

Number of tetrahedral  points = 2x

If anions occupy the HCP lattice points and cations occupy half of the octahedral holes.

Number of anions occupying the HCP lattice points, A= 1x

Number of cations occupying the octahedral points, B =  1x

The formula of the compound will be =

If anions occupy the HCP lattice points and cations occupy all of  the octahedral and the tetrahedral holes.

Number of anions occupying the HCP lattice points, A= 1x

Number of cations occupying the octahedral points, B =  x

Number of cations occupying the tetrahedral points, B =  2x

total number of cations = x + 2x = 3x

The formula of the compound will be = AB3

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Answer:

angle QRT and angle POM

Step-by-step explanation:

Answer:

$2250.00

Step-by-step explanation:

the way I went about solving this is by taking the total before discount (2500.00) dividing it by ten which gives the discount which is 1/10 of the total (250.00) and subtract that from the total 2500.00-250.00=2250.00

$2250.00 is your total after discount

Answer: $6.45

Step-by-step explanation: Since 1 pound is $2.58, and we need to find out how much is 2.5 pounds, we can just multiply 2.58 by 2.5. Should be simple for you. Hope this helps. :)

The approximate x-values for the local maximum and the local minimum are given as follows:

D) max ≈ -0.3 , min ≈ 2.3.

Hence the critical points of the graphed function are given as follows:

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Answer:

17 67899887753 o

haggis to get a chance to get a chance

up to you and I don't know how I turned

him to be read by signs or something like that but

Step-by-step explanation:

join us for a while ago and I don't know

Let's use the variable x to represent the second number. The first number is two fifths of x, so the first number is 2x/5.

If the sum of the numbers is 49, we can write the following equation:

Now, solving the equation for x, we have:

Let's calculate the first number:

Therefore the numbers are 14 and 35.

Answer:

75.96°

Step-by-step explanation: