Solve the system of equation and explain geometrically how you know that your answers are solutions to the system. x^2+y^2 =100 and 3x - y = 30 how you know

Answer:

depends on context, 95% of what number? But in general it would be 95% because 0.9= 90%

Step-by-step explanation:

The statement that shows the correct measure of ∠A'B'C' is
m∠ABC = m∠A'B'C'.

What type of transformation does rotation do?
Each point in a figure is transformed into a rotation by rotating it a specific amount of degrees around another point. A rotation produces a new figure known as the image. The picture matches the original figure exactly.
The rotation will typically be at a similar angle, even if a figure can be rotated by any number of degrees. Positive degrees will cause the figure to revolve counterclockwise. The graphic will turn clockwise if the degree value is negative. Any point on the figure can be rotated.

Given, ΔABC with co-ordinates (3, 4), (5, 3) and (3, 2); also ∠ABC = 53.13°
Again, ΔABC is rotated counter-clockwise by 90° to make the  ΔA'B'C'.
Thus, new triangle having co-ordinates (-4, 3), (-3, 5) and (-2, 3) is obtained.
Rotation retains congruence since it is a transformation that does not alter side length or angle measure.
Thus, we have ∠A'B'C' = 53.13°
Therefore, ∠ABC = ∠A'B'C' = 53.13° i.e. m∠ABC = m∠A'B'C'.

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Answer: 1.8 L/h

Step-by-step explanation:

To convert the rate of water dripping from a tap from millilitres per second (ml/sec) to litres per hour (L/h), we need to use conversion factors.

Step 1:

First, let's convert the rate from millilitres per second to litres per second.

There are 1000 millilitres in a litre, so we can divide the rate in millilitres per second by 1000 to get the rate in litres per second:

\(\LARGE \boxed{\textsf{0.5 ml/sec $\div$ 1000 = 0.0005 L/sec}}\)

Step 2:

We can convert the rate from litres per second to litres per hour. There are 3600 seconds in an hour, so we can multiply the rate in litres per second by 3600 to get the rate in litres per hour:

\(\LARGE \boxed{\textsf{0.0005 L/sec $\times$ 3600 = 1.8 L/h}}\)

Therefore, the rate of water dripping from the tap is 1.8 L/h.

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The statement \(\cos 35^\circ \cos 35^\circ + \sin 35^\circ \sin 35^\circ = 1\) is true.

The statement \(\cos 35^\circ \cos 35^\circ + \sin 35^\circ \sin 35^\circ = 1\) is true, and we can demonstrate this by using the Pythagorean identity.

The Pythagorean identity states that for any angle \(\theta\), the sum of the squares of the cosine and sine of that angle is equal to 1: \(\cos^2 \theta + \sin^2 \theta = 1\).

In this case, we have \(\theta = 35^\circ\). Substituting this into the Pythagorean identity, we get:

\(\cos^2 35^\circ + \sin^2 35^\circ = 1\).

Now, we can simplify the left-hand side of the equation using the properties of trigonometric functions. Since \(\cos\) and \(\sin\) are both functions of the same angle, 35 degrees, we can express them as \(\cos 35^\circ\) and \(\sin 35^\circ\) respectively.

So, the original expression \(\cos 35^\circ \cos 35^\circ + \sin 35^\circ \sin 35^\circ\) can be rewritten as \(\cos^2 35^\circ + \sin^2 35^\circ\).

Since the left-hand side and the right-hand side of the equation are now identical, we can conclude that the statement is true: \(\cos 35^\circ \cos 35^\circ + \sin 35^\circ \sin 35^\circ = 1\).

This verifies that the given trigonometric expression satisfies the Pythagorean identity, which is a fundamental relationship in trigonometry.

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Answer:

please see photo attached for detailed analysis.

Answer:

0.5 Inches

Step-by-step explanation:

1/16=.0625 which is about .1 for estimating purposes

.1 on Saturday + .4 on Sunday = .5 inches of rain over the two days

Answer: 1.5 inches

Step-by-step explanation:

"The amount of rain that fell over two days" means the sum of the two amounts of rain that fell on Saturday and Sunday.

\(1\frac{1}{16} +0.4=1\frac{10}{160} + \frac{4}{10} = 1\frac{10}{160} + \frac{64}{160} = 1\frac{74}{160}\)

This number is close to \(1\frac{80}{160}\), which is 1.5 inches.

Answer:

By cords do you mean like what each line represents?

Answer:

125

Step-by-step explanation: first you do 350 dvide by 1.04 and you will get your answer

Answer:16

Step-by-step explanation:

first place the m =5 and n= 3 into the equation that you’re given like so:

5^3x3+3^2 OVER 8x3

then workout the top first

5^3 = 5x5x5= 125

125x3=375

3x3=9

375+9=384

Then do the bottom

8x3=24

384 divided by 24 = 16

Answer:

(x-8)^2+(y+8)^2=7

Step-by-step explanation:

The equation of a circle is (x-h)^2+(y-k)^2=r^2

Substitute h, k, and r for 8, -8, and √7, respectively.

(x-(8))^2+(y-(-8))^2=(√7)^2

The two negatives in y - (-8) causes it to be a +8.  Squaring √7 will make it 7.

The value of y when x is 9 and the constant of proportionality(k) is 4 is 36.

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given, x and y vary directly and y is 44 when x is 11.

Let, y ∝ x.

y = kx.

44 = 11k.

k = 44/11.

k = 4.

Now x = 9.

y = 4×9.

y = 36.

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Answer:

20 + 16 = 36

Step-by-step explanation:

The conjecture: "The sum of two positive even integers is always an odd integer" can be easily be proven false with a counterexample.

Pick A=20 and B=16, both are positive even integers.

The sum of both A + B = 36 is an even integer. This is a counterexample because being even is the contrary of being odd.

Counterexample: 20 + 16 = 36

In fact, the conjecture is always false, since there cannot be found any pair of positive integers whose sum is odd.

Other possible counterexamples are:

10 + 8, 700 + 40, 12 + 14, etc.

A source of money that allows individuals to pay for goods and services later is called consumer credit and an advantage of this source of money is that there are no interest charges.

Consumer credit, also known as consumer debt, enables the consumers to incur debt or borrow money and to defer repayment of that money over time. It allows consumers to buy goods without having to pay for them in cash at the time of purchase. Examples of consumer credit include credit cards, student loans, etc. Among the advantages of using consumer credit is that there is no interest charge to borrow the money for a certain period of time until the due date.

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The left-null-space of A has dimension 2, while the right-null-space has dimension 0. Therefore, the left- and right-null-spaces have different dimensions.

Let's construct a non-zero matrix A for which the left- and right-null-spaces have different dimensions.

Consider the following 3x2 matrix A:

A = [1 0; 0 1; 0 0]

The left-null-space of A is the set of all vectors x such that xA = 0. That is,

x [1 0; 0 1; 0 0] = [0 0]

This equation can be written as a system of linear equations:

x1 = 0

x2 = 0

Since there are two free variables (x1 and x2 are free), the left-null-space has dimension 2.

The right-null-space of A is the set of all vectors x such that Ax = 0. That is,

[1 0; 0 1; 0 0] x = [0 0 0]T

This equation can be written as a system of linear equations:

x1 = 0

x2 = 0

This system has only two equations and two unknowns, so there are no free variables. Therefore, the right-null-space has dimension 0.

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Rewrite 5 1/4 as an improper fraction:

Multiply the whole number by the denominator of the fraction then add the numerator of the fraction and put over the denominator:

5 x 4 = 20 + 1 = 21

5 1/4 = 21/4

Ow divide the total amount (21/4) by the amount in each bag (5/8)

21/4 / 5/8

When dividing by a fraction flip the second fraction over and then multiply straight across:

21/4 / 5/8 = 21/4 x 8/5 = (21 x 8) / (4 x5) = 168/20 = 8 8/20 = 8 2/5 bags

He can fill 8 full bags and 2/5 of a other bag

Answer: Yes, 59 is a prime number

Step-by-step explanation: 59 is a prime number, it has only two factors, such as one and the number itself. Hence, the factors of 59 are 1 and 59.

Yes, 59 is a prime number.

What is a prime number?

Any natural number greater than 1 that is not the sum of two smaller natural numbers is referred to as a prime number. A composite number is a natural number greater than one that is not prime.

In other terms, prime numbers are positive integers greater than one that only has the number itself and 1 as factors. 2, 3, 5, 7, 11, 13, and other prime numbers are just a few examples. Never forget that 1 is neither a prime number nor a composite. Apart from 1, the other numbers can all be categorised as prime and composite numbers. Except for 2, which is the smallest prime number and the only even prime number, all prime numbers are odd.

The number in question, which is 59,  has only two factors: 1 and 59.

Therefore 59 is a prime number.

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Power is the probability that a test correctly rejects a false null hypothesis​.

What is probability?

Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes—how likely they are—whenever we're uncertain of how an event will turn out.

Power is inversely related to the probability of making a type 2 error (β) which is rejecting the alternative hypothesis when it is true.

The equation of power is:

Power=1-β

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Step-by-step explanation:

C. is the right answer

It is a function only.

Answer:

C

Step-by-step explanation:

PLATO

Answer:

100 yes there are trust me

To find the arc length, we use the formula L = rθ, where r is the radius of the circle, θ is the central angle of the arc in radians, and L is the arc length.

Arc length refers to the distance covered along the curved portion of a circle or any other curved shape. It is an important concept in geometry and trigonometry and is used to measure the size of circular arcs, the size of angles, and in many other mathematical applications.

To find the arc length, we need to use the formula for the circumference of a circle and the central angle of the arc.

The circumference of a circle is given by the formula 2πr, where r is the radius of the circle.

The central angle of the arc is given in radians and is defined as the angle between two radii that meet at the endpoints of the arc.

To find the arc length, we use the formula

=> L = rθ,

where L is the arc length, r is the radius of the circle, and θ is the central angle of the arc in radians.

To convert the central angle from degrees to radians, we use the formula θ = (π/180) x degrees, where degrees are the central angle in degrees.

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the Pearson product moment correlation measures the linear relationship between two interval- and/or ratio-scaled variables (scale variables) such as those depicted conceptually by scatter diagrams: True.

A measure of the degree and direction of relationship between two variables assessed on at least an interval scale is the Pearson product-moment correlation coefficient, or Pearson's correlation.

If you want to determine whether there is a linear relationship between two quantitative variables, you may use Pearson's correlation. The expectation of a linear relationship between those variables is the sole part of the study hypothesis.

This approach finds the precise amount or degree of correlation between any two variables and tells if there is or is not any correlation between them.

Thus, the given statement is true.

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Answer:The nucleus / large central vacuole contains

genetic material of a eukaryotic cell.

Step-by-step explanation:The nucleus / large central vacuole contains

Answer:

Step-by-step explanation:

Perimeter values will be ...

rectangles . . . perimeter

  1 . . . 14

  2 . . . 16

  3 . . . 18

__

The perimeter of a figure is twice the sum of the length and width. Here, the length is a constant 6. The width is n, the number of rectangles. So, the perimeter is ...

  P = 2(6 +n) = 12 +2n

Your equation is ...

  P = 2n +12 . . . . . . . . perimeter P of figure with n rectangles.

_____

Additional comment

You may be expected to write the equation using y and x for the perimeter and the number of rectangles. That would be ...

  y = 2x +12 . . . . . . . . . perimeter y of figure with x rectangles

-1x+5=2

_5. -5

-1x=7

-1. -1

x=-7

Answer:

n = 1

Step-by-step explanation:

1/2 (-3/2n + 1) = 3/4 - n

-3/4n + 1/2 = 3/4 - n

n - 3/4n = 3/4 - 1/2

1/4n = 1/4

n = 1

1/2 (-3/2(1) + 1) = 3/4 - (1)

1/2 ( -3/2 + 1) = -1/4

1/2 ( -1/2) = - 1/4

-1/4 = -1/4

The answer is N=1

combine multiplied turns into a single faction find a common denominator combined fraction with common denominator combined multiplied times into a single fraction multiplied by 1 multiplied the numbers I rearrange terms add into both side of the equation simplify X Old Times by the same valuable to eliminate fractions denominators cancel multiple items are in the denominator multiply the numbers subtract 2 from each side of the equation and simplified.

apologies for the words spelt, i used the microphone.

Answer:

Step 3

Step-by-step explanation:

Leonardo is solving the equation 4 (x minus one-fifth) = 2 and two-thirds. His work is shown. Where is his error?

Given :

4(x - 1/5) = 2 2/3

Open the bracket

4x - 4/5 = 2 2/3

Add 4/5 to both sides

4x - 4/5 + 4/5 = 8/3 + 4/5

Lcm of 3 and 5 = 15

4x = (40 + 12) / 15

4x = 40/15 + 12/15

4x = 52/15

Multiply by 1/4

4x * 1/4 = 52/15 * 1/4

x = 52 / 60

x = 13 / 15

Hence, the error is in step 3

15/5 * 3 = 12

Rather ; Leonardo wrote 16

Answer:

117/16

Step-by-step explanation:

4 1/3=13/4 2 1/4=9/4 multiply and that gives 117/16

Answer:

See below

Step-by-step explanation:

g (h(6))   :

   h (6) =  3 ( 6^2) + 2 = 110

   then g (110) =   sqrt (110)

h (g(5))

    g(5) = sqrt 5

        then h( sqrt5) = 3 ( sqrt5)^2 + 2 = 17