Determine Number of Solutions in System

Determine if the following system of equations has no solutions, infinitely many solutions or exactly one solution.

Answer:

first question = 57 degrees

second question = 27 degrees

Step-by-step explanation:

use trigonometry and SOH CAH TOA

then rearrange to find the value of x

using the power of -1

Answer:

R is reflexive and transitive but not symmetric.

Step-by-step explanation:

R = {(a, b); a ≤ b}

Clearly (a, a) ∈ R as a = a.

R is reflexive.

Now,

(2, 4) ∈ R (as 2 < 4)

But, (4, 2) ∉ R as 4 is greater than 2.

R is not symmetric.

Now, let (a, b), (b, c) ∈ R.

Then,

a ≤ b and b ≤ c

→ a ≤ c

→ (a, c) ∈ R

R is transitive.

Thus, R is reflexive and transitive but not symmetric.

Answer:

5184 sq ins.

Step-by-step explanation:

There are 16 squares  each of area 324,

so total area of the quilt = 324 * 16

= 5184 in^2.

Answer:

13w+4 or 4+13w

Step-by-step explanation:

w is the same as one then it will be 4+w(1)+12w =12w+w(1)=13w

4 over here does not have friend therefore it renains to be 4 =13w+ 4

The value of the given function is as follows sin a = 3/5, cos a =4/5 and sec a = 5/4.

By right-angled triangle, we can find the trigonometric function from the sides of the triangle.

sin x = perpendicular/ hypotenuse

cos x = base/ hypotenuse

sec x = hypotenuse /base

From a triangle ABC of base 4, perpendicular 3, and hypotenuse 5, we get

sin a = perpendicular/ hypotenuse

        = 3/5

cos a = base/ hypotenuse

         = 4/5

sec a = hypotenuse /base

        = 5/4

Hence, the value of the given function is as follows sin a = 3/5, cos a =4/5 and sec a = 5/4.

Learn more about trigonometry;

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Answer:

the answer is B.

Step-by-step explanation:

Answer:

Volume of a sphere is 4/3πr^3

Determine r for the radius and multiply by 2 for diameter

The cones volume is 207.24cm but the weird thing is when you try to convert the cubes. I got 69.08 cubes but I don't know if that is correct. Have a nice day!

Answer:

See below ↓↓

Step-by-step explanation:

(a) Most variability

(b) Highest scores on average

Answer:

25,645

________________________________________________________

First, find 4,695 × 10

[tex]4,695 * 10 = 46,950[/tex]

Next, do 2,132 × 10

[tex]2,132 * 10 = 21,320[/tex]

Now, subtract by 15.

[tex]21,320 - 15 = 21,305[/tex]

Lastly, subtract by the product you found earlier.

[tex]46,950 - 21,305 = 25,645[/tex]

________________________________________________________

Ask in comments box.

Answer:

a) Class D - lowest variability/range

b) Class C - highest average/mean

Hope this helps!

Answer :

[tex] \\ [/tex]

Step-by-step explanation :

Here, A right angled triangle is given with the measure of two sides and we are to find the measure of the third side.

We'll find the measure of third side with the help of the Pythagorean theorem,

[tex]\\ {\longrightarrow \pmb{\sf {\qquad (Hypotenuse {)}^{2}= (Base) {}^{2} + (Perpendicular {)}^{2} }}} \\ \\[/tex]

Here,

[tex] \\ [/tex]

So, substituting the values in the formula we get :

[tex]\\ {\longrightarrow \pmb{\sf {\qquad (c {)}^{2}= (4) {}^{2} + (5 {)}^{2} }}} \\ \\[/tex]

[tex] {\longrightarrow \pmb{\sf {\qquad (c {)}^{2}= 16 + 25 }}} \\ \\[/tex]

[tex] {\longrightarrow \pmb{\sf {\qquad (c {)}^{2}= 41 }}} \\ \\[/tex]

[tex] {\longrightarrow \pmb{\sf {\qquad c = \sqrt{41} }}} \\ \\[/tex]

[tex] {\longrightarrow \pmb{\frak {\qquad c \approx 6.40 }}} \\ \\[/tex]

Therefore,

Step-by-step explanation:

As it is a right angle triangle , So

We have to find the value of hypotenuse i.e C

By Pythagoras theorem

H² = P² + B²

putting the known values ,

C² = 5² + 4²

C² = 41 units

C = √41 units

C = 6.40 units

Answer:

x=−5

y=−2

Step-by-step explanation:

{3x+4y=-23}{x=3y+1}

x=−5

y=−2

Answer:

mode = 1

Step-by-step explanation:

the mode is the value that occurs most often in the data set.

1 occurs 3 times and is therefore the mode

90°-53°=37°

The whole angle is right angled

Answer:

the answer is (x-1)^2=4

Answer:

350 sum

Step-by-step explanation:

Answer: rational number

Step-by-step explanation: -2.33333 ...

Answer:

Classifications 1 & 2

Step-by-step explanation:

Real number: because It is located on the number line, belongs to negative numbers.

Rational number: because it is a fraction (quotient)

-7/3 it is not a integer number or whole number

Hope this helps

The surface area, the lateral area and the volume are, respectively:

The volume is a measure of the space occupied by the solid, the lateral area is the measure of the area occupied by lateral faces of the solid and the surface area is the area occupied by the cross section of the solid. Please notice that the volume of each prism is equal to the product of the surface area and the height of the solid and the lateral area is the sum of the areas of the lateral faces.

In this exercise we must follow these steps to obtain the required results:

Lastly, we proceed to make the corresponding calculations:

S = (10 mi)² = 100 mi²

L = 4 · (10 mi) · (5 mi) = 200 mi²

V = S · h = (100 mi²) · (5 mi) = 500 mi³

S = 0.25 π · (16 cm)² ≈ 201.062 cm²

L = π · (18 cm) · (9 cm) ≈ 508.938 cm²

V = S · h = (201.062 cm²) · (9 cm) ≈ 1809.558 cm³

S = 0.5 · (5) · (9 km) · (6.2 km) = 139.5 km²

L = (5) · (4 km) · (9 km) = 180 km²

V = S · h = (139.5 km²) · (4 km) = 558 km³

S = 0.5 · (3 km) · (4 km) = 6 km²

L = (9 km) · (3 km) + (9 km) · (4 km) + (9 km) · (5 km) = 108 km²

V = S · h = (6 km²) · (9 km) = 54 km³

To learn more on volumes, we kindly invite to check this verified question: https://brainly.com/question/1578538

Answer:

a) c = 11.2
b) c = 2

Step-by-step explanation:
[tex]c^{2} = a^{2} + b^{2}[/tex]

c = line across from the right angle

Answer:

9.628 cm²

Step-by-step explanation:

Let A be the area of the sector OAB

Let a be the area of the sector OCD

The shaded area = A − a

[tex]\begin{aligned}A &=\frac{1}{12} (\pi \times 7^{2}) \\&=12.828 \ldots\end{aligned}[/tex]

[tex]\begin{aligned}a & = \frac{1}{12}\left(\pi \times 3.5^{2}\right) \\&=3.2 \ldots\end{aligned}[/tex]

The shaded area ≈ 12.828 - 3.2 ≈ 9.628 cm²

Check the picture below.

Answer:

Step-by-step explanation:

FV = PV ( 1 + i)^n       i = decimal interest per period(year)   n = periods(years)

                   FV = future value   PV = present value (deposit or loan amount)

FV = 4500 ( 1 + .05)^2

FV = 4500(1.05)^2 = 4961.25    subtract the orginal deposit  which means 461.25 interest paid at 2 yrs

Answer:

  2.37×10^-11 milliliters

Step-by-step explanation:

The exponential model for decay is ...

  y = a·b^x

where 'a' is the initial value, 'b' is the decay factor, and x is the number of intervals over which the decay is taking place.

__

Here, you're given an initial value of a=500 mL.

The decay factor is 1 more than the decay rate, so is ...

  b = 1 -12% = 0.88

We are asked for the remaining amount after 240 intervals (breaths), so that will be ...

  y = 500·0.88^x

  y = 500·0.88^240 ≈ 2.37×10^-11 . . . . milliliters

__

Additional comment

That's about 640 million molecules of air--not very much. After 400 breaths, there is about 1 molecule of the original air remaining.

Answer if im not misstaken its no

Step-by-step explanation:

because ur working with fractions they dont = the same thing. lmk if im wrong

Answer:

No, these functions fail to be inverses of each other.

Step-by-step explanation:

We have two functions :

Let's take the function f(x) and take x = 1.

Let's try the same with g(x).

Clearly, they are not inverse functions of each other.

Step-by-step explanation:

as per the rules of intersecting lines, the angles between the lines must be the same on both sides of the lines. the just "mirror" (so, left becomes right, and right becomes left).

and since the basic grid is created with perpendicular lines (standing at 90° at each other), we are dealing in the top right and bottom left quarters with 2 angles that together add up to 90°.

these are called complementary angles.

so, in the top right quarter we have a 52° angle, and the other one must be

90 - 52 = 38°

as mentioned, the angles in the bottom left quarter must be the same but are mirrored, so,

y = 38°

The measure of angle ∠y = 38°

Two straight lines that intersect at the same location are said to be intersecting lines. The junction point is the place where two intersecting lines meet. Four angles are created when two lines cross. The four angles added together always equal 360 degrees.

Perpendicular lines are two straight lines that intersect and form right angles. When two perpendicular lines intersect, they form four right angles.

When lines intersect, two angle relationships are formed:

Opposite angles are congruent

Adjacent angles are supplementary

Given data ,

Let the first line be A

Let the second line be B

Now , the lines A and B intersect at the point O perpendicular to each other

And , The angles formed are = 90°

Let the measure of m∠A = 52°

Now , the measure of m∠y = 90° - 52°

The measure of angle m∠y = 38°

Hence , the measure of angle m∠y = 38°

To learn more about angles formed by intersecting lines click :

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Answer:

1.25w

Step-by-step explanation:

w+0.25 is really 1w+0.25, therefore adding the two would equal 1.25w, here  is how to solve it:

[tex]w+0.25w\\1*w+0.25w\\1w+0.25w\\1.25w[/tex]

P.S: I anwsered it here:

https://brainly.com/question/27350649

Answer:

1.25

Step-by-step explanation:

There is an invisible 1 whenever you add x, y, w, whatever. So when you add w + .25w you are really adding 1w + .25w. Because these are like terms, they go together and combined 1+.25 is 1.25. I hope this helps.