What is the solution of the system of equations?

Answer:

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Step-by-step explanation:

Answer:

the answer is c

Step-by-step explanation:

u welcome

The value of r in terms of other variables in the given right triangle using the Pythagoras theorem can be shown as r = √(t² - s²).

According to the Pythagoras Theorem, in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the legs.

In the question, we are shown a right triangle with the hypotenuse as t, and the legs as r and s.

We are asked to solve for r in terms of other variables.

By Pythagoras theorem in the given right triangle, we can say that:

r² + s² = t², which is the required equation.

To solve for r in terms of other variables, we do as follows:

r² + s² = t²,

or, r² + s² - s² = t² - s² {Subtracting s² from both sides of the equation},

or, r² = t² - s² {Simplifying},

or, r = √(t² - s²) {Square rooting both sides of the equation}.

Thus, the value of r in terms of other variables in the given right triangle using the Pythagoras theorem can be shown as r = √(t² - s²).

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The quotient is the result obtained by dividing one quantity by another.

This means that b/-6 = 18

b = 18*-6

b = -108

Answer:

b = -108

Step-by-step explanation:

Given the mathematical expression, "The quotient of b and -6 is 18":

We could represent the given mathematical expression as follows:

b ÷ -6 = 18  or   [tex]\frac{b}{-6} = 18[/tex] .

In the fraction form, [tex]\frac{b}{-6} = 18[/tex] , multiply both sides by -6 to eliminate the denominator on the left-hand side. It will also isolate b:

[tex]\frac{b}{-6} = 18[/tex]

[tex](-6)(\frac{b}{-6}) = 18(-6)[/tex]

b = -108

In order to double-check whether we have the correct value for b, simply substitute its vlaue into the equation:

[tex]\frac{-108}{-6} = 18[/tex]

18 = 18 (True statement).  

The value of b = -108, hence, the quotient of -108 and -6 is 18.  

Answer:

10 percent of 51 is 5.1

Answer:

51=10

510=100

Step-by-step explanation:

51=10/100

x10

510

Answer:

a) single replacement

b)decomposition

Step-by-step explanation:

a) im not so sure but pretty sure its tight

b) decomposition requires energy so therefore can only be this

Answer:

Step-by-step explanation:

11)  $175(1 - 0.30)(1 + 0.06) = $129.85

12) slope is 2, so basic equation is

y = 2x + b

plug in your desired point

-5 = 2(-4) + b

b = 3

y = 2x + 3

Answer:

26

Step-by-step explanation:

in a deck of 52 cards there are 52/2 = 26 black cards

so there are 26 ways you can select a black card

Answer:

14

Step-by-step explanation:

(4+(16-1)/5)*2

(4+15/5)*2

(4+3)*2

7*2

14

[tex]16^x=13\implies (2^4)^x=13\implies ((2^2)^2)^x=13\implies ((4)^2)^x=13 \\\\\\ 4^{2\cdot x}=13\implies 4^{x\cdot 2}=13\implies \left[4^x \right]^2=13\implies \boxed{4^x}=\sqrt{13} \\\\[-0.35em] ~\dotfill\\\\ 2^{2x+1}\implies 2^{2x}\cdot 2^1\implies (2^2)^x\cdot 2\implies 4^x\cdot 2\implies \boxed{\sqrt{13}}\cdot 2\implies 2\sqrt{13}[/tex]

Answer:

D

Step-by-step explanation:

Answer:

systematic sampling

Step-by-step explanation:

This is when you start at a person (using a number that is randomly generated) and go up in intervals to select a sample.

Hope this helps!

Answer:

x=6y3

Step-by-step explanation:

we first find the constant of proportionality where by we say; x= ky3

we're given x = 54

and y = 3

so

54=k(3cubed)

therefore

54= 9k

divide be 9 both sides to get k which is the constant

k=6

now rewrite the equation replacing k with 6

it will be...

X=6Y3

Answer:

with what 0-0 are youy okay?

Step-by-step explanation:

Answer:

(1) How many equilateral triangles are there? ___6__

(2) What is the measure of each of the three angles in the equilateral triangle? __60°_

(3) If we cut an equilateral triangle down the middle (green line), what special right triangle do you create? _30-60-90_

(4) What is the vocabulary word for the green line? _Perpendicular bisector_

(5) What is the length of the short side of one 30-60-90 triangle? __4_cm_

(6) What is the length of the hypotenuse of one 30-60-90 triangle? __8 cm

(7) Using the properties of 30-60-90 triangles, calculate the length of the long leg. _4√3_cm

(8) What is the height of the equilateral triangle?  _4√3_cm

(9) Apply the formula for the area of a triangle to find the area of one equilateral triangle. ½(8)(4√3) = 16√3 cm²

(10) Calculate the area of the complete hexagon by multiplying the area of one equilateral triangle by the number of triangles. _8(16√3) = 128√3 cm²_

Step-by-step explanation:

In geometry, a hexagon can be defined as a polygon with six sides. The two-dimensional shape has 6 sides, 6 vertices and 6 angles

In geometry, a hexagon can be defined as a polygon with six sides. The two-dimensional shape has 6 sides, 6 vertices and 6 angles

The answers of all the fill in the blanks are given below:

(1) How many equilateral triangles are there ___6__

(2) What is the measure of each of the three angles in the equilateral triangle __60°_

(3) If we cut an equilateral triangle down the middle (green line), what special right triangle do you create? _30-60-90_

(4) What is the vocabulary word for the green line? _Perpendicular bisector_

(5) What is the length of the short side of one 30-60-90 triangle? __4_cm_

(6) What is the length of the hypotenuse of one 30-60-90 triangle? __8 cm

(7) Using the properties of 30-60-90 triangles, calculate the length of the long leg. _4√3_cm

(8) What is the height of the equilateral triangle?  _4√3_cm

(9) Apply the formula for the area of a triangle to find the area of one equilateral triangle. ½(8)(4√3) = 16√3 cm²

(10) Calculate the area of the complete hexagon by multiplying the area of one equilateral triangle by the number of triangles. _8(16√3) = 128√3 cm²

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Answer:

(3*5)+(19*3)

Step-by-step explanation:

both numbers GCF is 3.

(3*5)=15

(19*3)=57

15+57=72

Hope that helps

Answer:

If Mia wants to use 6 cups of rice, she would need to multiply the amount of each ingredient by 3, because the original 2 cups times 3 is the 6 cups she wants to use. So the new amount for the recipe would be this:

6 cups of rice

12 cups of milk  

1 cup of sugar  

3 handful of raisins

3 cinnamon sticks

When asking how many this will serve, we also multiply by 3 the original amount of people which is 4 to get 12 servings of Arroz con leche

Answer:

126 degrees

Step-by-step explanation:

first we should find the measurements of these angles

so (I know these are the names of lines but there's no name for these angles, that's why I'm addressing them with the name of each one's nearest line name)

C= 90 degree

B= 65 degree

A= 79 (coz 180- 101= 79)

therefore D= ?

the total interior angle of a quadrilateral is 360

so 360- (90+ 65+ 79)

360- 234 = 126 degrees

Answer:

Step-by-step explanation:

14 out of 70 given as percentage:

Lets see

Answer:

x = -7

Step-by-step explanation:

Eleven more than five times a number is equal to the difference between −38 and twice the number.

let x represent the number.

11 + 5x = -38 - 2x

7x +11 = -38.............add 2x to both sides

7x = -49................... subtract 11 from both sides

x = -7........................divide both sides by 7

Here, we have been asked to find the order of rotational symmetry of a symmetry of a regular pentagon. First let us learn about rotational symmetry and some basic terms related to it.

1. Rotational Symmetry: -

It is the property a shape has when it looks the same after some rotation by a partial turn. For example: - an equilateral triangle will look the same after a partial rotation of 120∘

2. Centre of rotation: -

The fixed point around which the rotation occurs is called the centre of rotation. For example: - the centre of rotation of a fan is the centre of the fan from which its blade originates.

3. Angle of Rotational Symmetry: -

The angle of rotational symmetry is the smallest angle for which the figure can be rotated to coincide with itself. For example: - the angle of rotation of an equilateral triangle is 120∘

4. Order of Rotational Symmetry: -

The order of rotational symmetry of a shape is the number of times it can be rotated around a full circle and still look the same. For example: - an equilateral triangle can be rotated 3 times around a full circle, each time at the angle of 120∘

, so its order of rotation will be 3.

In general, a regular polygon having n – sides have ‘n’ lines of symmetry and their order of rotational symmetry is ‘n’.

Now, let us come to the question. We have to find the order of rotational symmetry of a regular pentagon.

We know that a regular pentagon has 5 sides.

Step-by-step explanation:

The Real Answer Is 63

Maybe Positive Or Negative

Answer: 2.50$

Step-by-step explanation:

Answer:

11.7 miles

Step-by-step explanation:

I hope this helped!

Energy is a fascinating concept. It can neither be created nor destroyed, but it can be altered. Whenever you use or store energy, you deal wit potential or kenetic energy. Read on as we discuss these two energy forms in greater detail and explore the relationship between them

Answer:

Yes.

Step-by-step explanation:

Atoms have potential energy in covalent bonds which hold them together and kinetic energy when in motion. For instance, when there is an increase in temperature, particles gain in kinetic energy and move faster.

Answer:

B. Alternate interior angles

Step-by-step explanation:

The two roots are

[tex]\alpha = -8+3i,~~~ \beta = -8-3i\\\\\\x^2 - (\alpha + \beta)x + \alpha \beta = 0\\\\\implies x^2 - (-8+3i-8-3i)x + (-8+3i)(-8-3i)=0\\\\\implies x^2 +16x + (-8)^2+3^2 =0\\\\\implies x^2 +16x +64+9=0\\\\\implies x^2 +16x +73[/tex]

Hence the answer is D.

Answer:

72

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Step-by-step explanation:

Answer:

72

Step-by-step explanation:

7x9=63

63-22=41

41+31= 72

Hope this helps

Answer:

4x-6

Step-by-step explanation:

4x-6

4 is for number of doughnuts in each package, 6 is for the taken doughnuts

The equivalent of 1 mile to kilometres is  approximately 1.6 km.

2.54 cm = 1 inch

5280 ft = 1 mile

100 cm = 1 m

1000 m = 1 km

Using the information let's convert 1 mile to kilometre.

1000 m = 1 km

Therefore,

1 m = 0.000621371 miles

1000 m(1 km) = ?

cross multiply

length = 1000 × 0.000621371 = 0.621371 miles

Therefore,

0.621371  miles = 1 km(1000 m)

1 miles = ?

length in km = 1.60934449789 km

Therefore,

1 miles = 1.6 km

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