What is the pythagorean thereom? And how is it used to solve triangles

The location of the coin next to the convex side of a thin spherical glass shell is 3.68 cm.

According to the question,

Radius of curvature : 19 cm

Size of image formed : 1.5cm

Distance of coin from glass shell : 6.5cm

The position of the coin placed next to the convex side of a thin spherical glass shell is calculated as follows;

1/d = 1/f - 1/d'

where;

d' is the position of the coin's image

d position of the coin

f is focal length

Focal length = r/2 =19/ 2 = 9.5 cm

=> 1/d = 1/9.5 - (-1/6.5)

=> 1/d = 1/9.5 + 1/6.5

=> 1/d = 0.1052 + 0.1538

=> 1/d = 0.259

=>d = 1/0.259

d = 3.86 cm

Thus, the position of the coin placed next to the convex side of a thin spherical glass shell is 3.86 cm.

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Answer:

The answer is 9.45

Step-by-step explanation:

2.7*3.5=9.45

Answer:

A), C), E)

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

The length of the hypotenuse is approximately 50.16.

As we can see in the given right angle triangle that is made in the given model,

the base is 50 and the height is 4, so  for hypotenuse,

Let's label the hypotenuse as 'c.'

We have:

\(y^2 = 50^2 + 4^2\\\\y^2 = 2500 + 16\\\\y^2 = 2516\)

To find the value of 'y,' we take the square root of both sides:

y ≈ √(2516)

y ≈ 50.16

For the slope of the given triangle,

In general slope = Δy(horizontal)/Δx(verticle)

The slope = 4/50 = 1/12.5

This slope is under state regulation since it falls between the standard ratio.

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Answer:

Step-by-step explanation:

True.

An enumerator is a special data type in some programming languages that allows us to give names to integer values, making the code more readable and easier to maintain.

However, an enumerator cannot be directly assigned to an int variable because they are not compatible data types. An int variable can only store integer values, while an enumerator is a named constant that represents an integer value.

To assign an enumerator to an int variable, we need to explicitly cast the enumerator to an int using type conversion.

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Answer:

3.5 grams of peanuts per 1 gram of raisins

Step-by-step explanation:

You have the table with the following information

14 grams of peanuts = 4 grams of raisins

21 grams of peanuts = 6 grams of raisins

35 grams of peanuts = 10 grams of raisins

you need to find:

? grams of peanuts = 1 gram of raisins

So, we need to find the constant of proportionality.

14/4 = 7/2 = 3.5/1

Therefore, 3.5 grams of peanuts = 1 gram of raisins

Answer:

7

Step-by-step explanation:

the x-coordinates are -1 and 6. there's a distance of 7 between those two.

the y-coordinates are -5 and -5. there's a distance of 0 between those two.

(distance between points)² = 7² + 0² = 49 + 0 = 49.

take the square root of both sides:

distance between points = √49 = 7.

this would also have worked if the y-coordinates were different.

Answer:

slope m = - 8

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

y + 3 = - 8(x - 4) ← is in point- slope form

with slope m = - 8

The slope is :

Solution:

Given: \(\bf{y+3=-8(x-4)}\)

To determine the slope, it's important to know the form of the equation first.

There are 3 forms that you should be familiar with.

The three forms of equations of a straight line are:

This equation matches point slope perfectly.

The question becomes, how do you work with point slope to find slope?

In point slope, m is the slope and (x₁, y₁) is a point on the line.

Similarly, the slope of \(\bf{y+3=-8(x-4)}\) is -8.

The statement that is false with respect to the diagram given where angle FEA is stated to be supplementary to angle HGD, is:

A. measure of angle FEB + measure of angle HGD = 180°

By definition, supplementary angles are two angles that have a sum of 180 degrees when added together, that is, one is a supplement of the other.

Given the image below, we know the following:

Since angle FEA is supplementary to angle FEA would be congruent to angle HGC, and angle HGD is congruent to angle FEB. This is because, the supplement of angle

angle FEA + angle FEB - angle FEA + angle HGD = 180° - 180°. Therefore,

angle FEB = angle HGD.

In summary, from the options given, the statement that is false with respect to the diagram given where angle FEA is stated to be supplementary to angle HGD, is:

A. measure of angle FEB + measure of angle HGD = 180°

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The coordinates after dilation are A (-0.5 , 1) , B(1,0.5) , C(0.5,-0.5) and D(0,0).

What is dilation?

Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. Yet, there is a variation in the shape's size.

Here , we need to find coordinates before using dilation. Then the coordinates are,

A=(-1,2) , B=(2,1) , C=(1,-1) and D=(0,0).

The scale factor = 0.5

For dilation coordinates we need to multiply coordinates by using scale factor. Then,

A = (-1,2) => (-1×0.5, 2×0.5) => (-0.5 , 1)

B = (2,1) => (2×0.5 , 1×0.5) => (1,0.5)

C = (1 , -1) => (1×0.5 , -1×0.5) => (0.5, -0.5)

D = (0 , 0) => (0×0.5 , 0×0.5) => (0,0)

Hence the coordinates after dilation are A (-0.5 , 1) , B(1,0.5) , C(0.5,-0.5) and D(0,0).

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Answer: is D

Step-by-step explanation:

Answer:

(B)

Step-by-step explanation:

According to exponent rules, a^(x+y) = a^x * a^y:

1.03^(2 + x) = 1.03^2 * 1.03^x

Solution: (B)

The missing sides in the special triangles are 1) 8 and 8√2,  (2) 5√2 and 5  (3)  2√2 and (4) 7/8 and 7√2/8

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry

In special triangles, The ratio of 45⁰ are

1  to find the value of y, we use

Opposite/adjacent = Tan

Tan 45 y/8

1/1 = y/8

therefore y = 8 units

To find x we use opposite /hypo. = Sin

Sin45 = 8/x

1/√2 = 8/x√√Therefore x = 8√2

2)  To find u we use sin= opp/hypo

Sin45 = 5/u

Cross and multiply we have

1/√2 = 5/u

u = 5√2

To find v we use Tan= opp/adj

Tan45 = 5/v

1/1 = 5/v

v= 5

3)   to find u we use Cos = Adj/hypo

Cos45 = 2/u

1/√2 = 2/u

Cross multiply to have u = 2√2

4)  To find x we use Sin= oppo/hypo

Sin45 = 7√2/2 ÷x

1/√2 = 7√2/4

7√2/4 = 1/√2

7√2/4√2

Rationalize to have

= 28/32 = 4/8 = 7/8

To find y we use cos= adj/hypo

Cos45 = y /7/8

1/√2 = y/7/8

Simplify to have

y = 7/8÷√2

y = (7√2)/8

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Therefore, You can add approximately 0.228 gallons of water to the mix and still remain within the specified W/C ratio of 0.45.

The total weight of the mix is 22 + 41 + 57 + 8 = 128 lbs. To calculate the current W/C ratio, we need to convert the weight of water to gallons. One gallon of water weighs approximately 8.34 lbs. Therefore, the current weight of water is 8/8.34 = 0.96 gallons. The current W/C ratio is 0.96/128 = 0.0075. To remain within spec with a W/C ratio of 0.45, we can use the formula: (water weight + x)/(total weight) = 0.45, where x is the additional weight of water needed. Solving for x, we get x = (0.45 x 128) - 8 = 50.4 lbs. Converting to gallons, this is 50.4/8.34 = 6.05 gallons. Therefore, 6.05 gallons of water can be added to the mix and still remain within spec.
To determine how many gallons of water can be added to the mix and still remain within the specified W/C ratio of 0.45, follow these steps:
1. Calculate the required amount of water for the specified W/C ratio: Cement weight x W/C ratio = 22 lbs. x 0.45 = 9.9 lbs. of water.
2. Subtract the initial water content from the required amount: 9.9 lbs. - 8 lbs. = 1.9 lbs. of additional water needed.
3. Convert the additional water weight to gallons: 1.9 lbs. / 8.34 lbs./gallon (water density) ≈ 0.228 gallons.

Therefore, You can add approximately 0.228 gallons of water to the mix and still remain within the specified W/C ratio of 0.45.

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The minimum number of sets of knives Rashaad should buy is 73 the inequality is represented as N > 73.

When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relation between variables and the numbers.

Given that the restaurant needs at least 631 knives. There are currently 195 knives. If each set on sale contains 6 knives. The minimum number of knives will be:-

N > ( 631 - 195 ) / 6

N > ( 431 / 6 )

N > 73

Therefore, the minimum number of sets of knives Rashaad should buy is 73 the inequality is represented as N > 73.

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Answer:

Oscar is. dividing the cost by the amount you will find that all answers equal 3.99

Answer:

Oscar is right because if you divided the cost by the amount in lbs for each row in the table to find the unit rate, it would equal to 3.99.

Answer:

You are 11.5  feet off the floor are you in 5 minutes

You are 23  feet off the floor are you in 10 minutes

it will take 13.91 minutes to reach the ground

Step-by-step explanation:

If   you are top , height will keep decreasing as you move downward.

Given

top height 32 feet

Descending speed = -2.3 feet /minute

Here negative sign implies that height is decreasing.

concept used

distance = speed * time

How many feet off the floor are you in 5 minutes?

time = 5 minutes

distance descended = -2.3 feet /minute*5 minutes = - 11.5 feet

Hence ,

I would have moved 11.5 feet from the top.

Distance from ground will be = Top height - distance descended

Distance from ground will be = 32 - 11.5 = 20.5 feet

____________________________________________

How many feet off the floor are you in 10 minutes

distance descended = -2.3 feet /minute*10 minutes = - 23 feet

Hence ,

I would have moved 23 feet from the top.

Distance from ground will be = Top height - distance descended

Distance from ground will be = 32 - 23= 9 feet

______________________________________________

When you reach the ground distance descended will be 32 feet.

Since its a descend distance off the floor has to be taken as negative value

Thus, distance descend in this case will be -32 feet

-32 feet= -2.3 feet /minute*Time

Time = -32/-2.3 = 13. 91 minutes.

Thus, it will take 13.91 minutes to reach the ground.

Answer:

x = - 4, x = 0

Step-by-step explanation:

The roots are the values of x on the x- axis where the graph crosses the x- axis.

The graph crosses the x- axis at x = - 4, x = 0 ← roots

The correct answer is: 0, -3, and 3. At  0, -3, and 3 of x does fx) x4-18x2 have a critical point where the graph changes from decreasing to increasing.

To find the critical points where the graph of the function f(x) = x^4 - 18x^2 changes from decreasing to increasing, we need to find the values of x where the derivative of the function is equal to zero or does not exist.

Let's find the derivative of f(x) with respect to x:

f'(x) = 4x^3 - 36x

To find the critical points, we set the derivative equal to zero and solve for x:

4x^3 - 36x = 0

Factor out 4x:

4x(x^2 - 9) = 0

Now we have two factors:

1) 4x = 0, which gives x = 0

2) x^2 - 9 = 0, which gives x = ±3

So, the critical points where the graph changes from decreasing to increasing are x = 0, x = -3, and x = 3.

Therefore, the correct answer is: 0, -3, and 3.

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Answer:

Step-by-step explanation:

Answer:

70° and 110° .

Step-by-step explanation:

Answer:

y=-2x+8

Step-by-step explanation:

y intercept is at 8, and there is a decrease in 2x per 1y

Answer:

the answer is the second one do nitrotype. com

Step-by-step explanation:

get rid of the space in .com

The height of Jeremy is 159 cm.

To find the height of Jeremy:

So,

Then, Jeremy = 135 + 24 = 159 cm.

Therefore, the height of Jeremy is 159 cm.

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When the process of observing or measuring yields results that consistently deviate in some way from the true value, this is known as observer/measurement bias. Because of the systematic mistake this adds into the data, the conclusions are incorrect or unreliable.

Observer/measurement bias is a sort of systematic error that happens when the technique used for observation or measurement yields results that consistently deviate in some way from the true value. The observer's own preconceived ideas or expectations, the measurement equipment, and the environment in which the observation or measurement is being conducted can all contribute to this form of bias.An observer's bias, for instance, could cause them to see or measure something in a way that favours one particular result or outcome over another. Similar to how external influences like noise, light, or temperature can skew results, the environment in which the observation or measurement is taking place may add a bias. If feasible, results that are inaccurate or unreliable because of observer/measurement bias should be avoided because they can lead to incorrect inferences about the data.

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Answer:

25% decrease

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

I'm Pretty Sure The Answer Is x=2

Hope This Help's

Answer:

2

Step-by-step explanation:

When subtract the 2 from the right side and subtract it from the right side, then divide three from the left side and then divided it from the right side, then you should end up with x=2

Answer:

50

Step-by-step explanation:

i am sure for that.it is so easy

Answer:

50 times greater than 7.8×10^-6

Step-by-step explanation:

\(\frac{3.9•10^{- 4}}{7.8•10^{- 6} \\\\\\ \frac{3.9}{7.8}•10^{- 4 -(- 6)} \\\\\\\ \frac{1}{2}•10^{- 4 + 6} \\\\\\ \frac{1}{2}•10^2 \\\\\\ \frac{1}{2}•100 \\\\\\ \frac{100}{2} \\\\\\ 50\)

I hope I've helped you.

Answer:

She made 12 mugs.

Step-by-step explanation:

Answer:

(8, 0)

(-2, 0)

(-3, 0)

Step-by-step explanation:

x - 8 = 0

x = 8

x + 2 = 0

x = -2

x + 3 = 0

x = -3

\((x-8)(x+2)(x+3) =0\\\\\implies x -8 =0~~~ \text{or}~~~x+2 =0 ~~~ \text{or}~~~x+3 = 0\\\\\implies x = 8 ~~~~~~~~ \text{or}~~~~~~x = -2 ~~~ \text{or}~~~ x = -3\\\\\\\text{Hence the roots are}~ 8, -2 ~\text{and} ~-3\)