What is the value of X

Answer:

Its C i just took the test and got this right!!!

Step-by-step explanation:

The side 3 cm, 4 cm, and 5 cm will satisfy the Pythagoras equation. Then the correct option is C.

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as

H² = P² + B²

The converse of the Pythagorean theorem using side lengths chosen from 2 cm, 3 cm, 4 cm, and 5 cm.

The side 3 cm, 4 cm, and 5 cm will satisfy the Pythagoras equation.

5² = 4² + 3²

25 = 16 + 9

25 = 25

The side 3 cm and 4 cm is normal to each other.

Then the correct option is C.

More about the Pythagoras theorem link is given below.

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Answer:

One: Median = 2

Two: Mean = 3.25

Step-by-step explanation:

One

Put the dots in order

1 1 1 2 2 3 3

There are seven groups altogether.

The middle one is a 2.

The median is 2.

Two

The mean is the average.

The average of the 4 groups is

1 3 6 3 = 13

The average is the sum of the dots.

13/4 = 3.25

Step-by-step explanation:

find 3x + 12y = 1 in terms of y

so y = -3/12 z + 1/3

y = -1/4 x + 1/3

gradient of the line(m) = -1/4

gradient of the line perpendicular to the line 3x + 12y = 1 is -1/m = -1 ÷ -1/4 = -1 x -4 = 4

(OR change the sign to its opposite(- to + and + to -) then put the denominator in place of the nominator and the nominator in place of the denominator)

for this line x1=-2 and y1=6 and m=4

so using the equation

(y-y1) = m(x-x1)

y-6 = 4(x-(-2)

y-6 = 4(x+2)

y-6 = 4x + 8

y = 4x + 14

y = 4x + 14 is the equation of the line that contains the coordinates (-2, 6) and is perpendicular to the line 3x + 12y = 1.

When you know the slope of the line to be investigated and the given point is also the y-intercept, you can utilize the slope-intercept formula, y = mx + b. (0, b). The y value of the y-intercept point is denoted by the symbol b in the formula.

Given an equation of line  3x + 12y = 1

so y = -3/12 z + 1/3

y = -1/4 x + 1/3

gradient of the line(m) = -1/4

gradient of the line perpendicular to the line 3x + 12y = 1 is -1/m = -1 ÷ -1/4 = -1 x -4 = 4

(OR change the sign to its opposite(- to + and + to -) then put the denominator in place of the nominator and the nominator in place of the denominator)

for this line x₁=-2 and y₁=6 and m=4

so using the equation

(y-y₁) = m(x-x₁)

y-6 = 4(x-(-2)

y-6 = 4(x+2)

y-6 = 4x + 8

y = 4x + 14

Therefore, the equation of the line that is perpendicular to the line 3x + 12y = 1 and contains the point (-2, 6) is y = 4x + 14

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Answer:

= 1 : 4

Step-by-step explanation:

14 : 56 in it's simplest form

= 14 / 56

= 1/4

= 1 : 4

14 : 56 = 1 : 4

Therefore, 14 : 56 in it's simplest form is 1 : 4

Answer: It took 13 hours by her to ride 164.45 miles.

Step-by-step explanation:

Total distance =  164.45 miles

Average distance traveled = 12.65 miles per hour  (speed)

[tex]Time = \dfrac{Distance}{Speed}[/tex]

[tex]Time = \dfrac{164.45}{12.65}=\dfrac{16445}{1265}\\\\=13\text{ hours}[/tex]

Hence, it took 13 hours by her to ride 164.45 miles.

Answer:

C = 23.5 in

Step-by-step explanation:

θ = 43°

The length of the side opposite to θ = 16 in.

Hypotenuse = DK

Apply trigonometric ratio, thus:

sin(θ) = opp/hyp

Plug in the values

sin 43 = 16/DK

Multiply both sides by DK

DK*sin 43 = 16

Divide both sides by sin 43

DK = 16/sin 43

DK = 23.5 (nearest tenth of an inch)

Answer: 12 almond pieces and 16 cranberry pieces

Step-by-step explanation:

Answer: 73%

Step-by-step explanation:

The plant is capable of producing 10 tons of product in one day.

Currently however, it is only able to produce 7.3 tons per day.

Utilization is therefore:

= Actual production/ Potential production * 100

= 7.3/10 * 100

= 73%

Step-by-step explanation:

Size of Exterior angle = 360°/n, where n is the number of sides of the regular polygon.

Hence we have 360°/13 = 27.7° (1d.p.)

The measure of an exterior angle of a regular 13-gon is 27.69°.

A regular 13-gon is a polygon that has 13 equal sides, 13 equal interior angles, and 13 vertices.

The given polygon is a regular 13-gon.

Therefore, all the exterior angles of this polygon are equal.

We know, each exterior angle of a regular polygon with 'n' sides is

= (360 / n)°

Here, n = 13.

Therefore, the value of each exterior angle

= (360 / 13)°

= 27.69°

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Answer:

6:15 6 to 15 it's the same o

Answer:  0.75 hours which is the same as 45 minutes

===========================================================

Explanation:

We're told that the plane flies 375 miles and the speed is 500 miles per hour (mph).

This must mean that d = 375 and r = 500. Let's find t

d = r*t

d/r = t .... divide both sides by r

t = d/r

t = 375/500

t = 0.75

It takes 0.75 hours, which is the same as 45 minutes because

0.75*60 = 45

If the plane flew 500 miles and its speed was 500 mph, then it would take 1 hour, so it makes sense that the plane's time was under an hour if it only traveled 375 miles.

Answer and Step-by-step explanation:(MAKE ME BRAINLIEST)

Answer:yes

Step-by-step explanation:

Answer:

1/18.

Step-by-step explanation:

2x^-2 y^-2

x= 3 and y = –2?

Answer is 2(3)^-2 * (-2)^-2

= 2/(3)^2 * 1/(-2)^2

= 2/9 *  1/4

= 2/36

= 1/18.

Answer:

140 miles

Step-by-step explanation:

Answer:

Convert to a decimal by dividing the numerator by the denominator.

2.75  hours

Answer: f(x) = 3x + 10

Step-by-step explanation: Function notation uses the terms "f(x)." It's the same thing as y.

This is is the correct function notation:

g(x)=3x+10

Hope that helps!!!

Answer:

the second one

Step-by-step explanation:

Answer:

Two negatives

Step-by-step explanation:

I'm assuming by 'factors of c' you mean factors of the last term. For the entire trinomial, we know that there are two negative signs. To be able to get a negative 11x and then a positive 10, we would need two negatives, since two negatives equal a positive. Hope that helps!

Answer:

Area of trapezoid is: [tex]\mathbf{11x^3y^2}[/tex]

Area of triangle is: [tex]\mathbf{6a^3b^2}[/tex]

Perimeter of triangle is: [tex]\mathbf{3ab+14a^2b}[/tex]

Step-by-step explanation:

Image 1:

We need to Find area of trapezoid.

The formula used is: [tex]Area=\frac{1}{2}h(b_1+b_2)[/tex]

where h is height and b₁ and b₂ are parallel sides.

Looking at the figure we get:

h = 2xy

b₁ = 4x²y

b₂ = 7x²y

Putting values and finding area:

[tex]Area=\frac{1}{2}h(b_1+b_2)\\Area=\frac{1}{2}\times 2xy(7x^2y+4x^2y)\\Area=\frac{1}{2}\times 2xy(11x^2y)\\Area=\frac{1}{2}\times 22x^3y^2\\Area=11x^3y^2[/tex]

So, Area of trapezoid is: [tex]\mathbf{11x^3y^2}[/tex]

Image 2:

We need to find area and perimeter of triangle.

First we will find area of triangle.

The formula used is: [tex]Area=\frac{1}{2}\times b \times h[/tex]

where b is base and h is height

Looking at the figure,

b = 3ab

h = 4a²b

Finding area:

[tex]Area=\frac{1}{2}\times b \times h\\Area=\frac{1}{2}\times 3ab \times 4a^2b\\Area=\frac{1}{2}\times 12a^3b^2\\Area=6a^3b^2[/tex]

So, Area of triangle is: [tex]\mathbf{6a^3b^2}[/tex]

Now, finding Perimeter of triangle

The formula used is: [tex]Perimeter = Sum\:of\:lengths\:of\:all\:sides\:of\:triangle[/tex]

Looking at figure:

Length of side 1 = 3ab

Length of side 2 = 4a²b

Length of side 3 = 10a²b

Finding Perimeter

[tex]Perimeter = Sum\:of\:lengths\:of\:all\:sides\:of\:triangle\\Perimeter = 3ab+10a^2b+4a^2b\\Perimeter=3ab+14a^2b[/tex]

So, Perimeter of triangle is: [tex]\mathbf{3ab+14a^2b}[/tex]

Answer:

3, 1, 2, 4, 5, 6

Step-by-step explanation:

i gave it to you in order from top to bottom

Step-by-step explanation:

l^2=15^2+6^2

l^2=225+36

l^2=261

l=√261

Answer:

m=5

Step-by-step explanation:

1. Convert the logarithm into exponential form using the fact that [tex]log_{a}[/tex](x)=b is equal to x=[tex]a^{b}[/tex] so ... 4m-10=[tex]10^{1}[/tex]

2. Any expression raised to the power of 1 equals itself so ... 4m-10=10

3. Move the constant to the right-hand side and change its sign so ... 4m=10+10

4. Add the numbers so ... 4m=20

5. Divide both sides of the equation by 4 so ... m=5, m>[tex]\frac{5}{2}[/tex]

6. Check if the solution is in the defined range so ... m=5

Answer:

g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12?

Step-by-step explanation:

Answer:

minimum value is -21;  ordered pair of min value is (3, -21)

Step-by-step explanation:

graph the function and find the lowest point on the curve

Answer:

20 20202020020200220020200

Step-by-step explanation:

Answer:

6.5, 6.49

Step-by-step explanation:

The numbers that are less than 6.58 is 6.58, 5.98, 6.538 and 6.49.

A group of numbers between integers on a number line are known as decimals. They are merely an additional mathematical representation of fractions.

Decimals allow us to express measurable quantities like length, weight, distance, money, etc. with greater accuracy. Integers, also known as whole numbers, are represented to the left of the decimal point, while decimal fractions are represented to the right of the decimal point. The next place, which is (1/10)th or tenth place value, is (1/10) times smaller if we move immediately from the first place.

Given number: 6.58

Now, we have to find the number less than 6.58

6.58 < 6.583

6.58 > 6.5

6.58 = 6.58

6.58 >5.98

6.58 > 6.538

6.58 > 6.49.

Hence, the numbers that are less than 6.58 is 6.58, 5.98, 6.538 and 6.49.

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Answer:

Make sure you are using a perfect circle.

Measure the circumference of a circle as accurately as you can.

Measure the diameter of the circle.

Use the formula.

For more accurate results, repeat this process with several different circles, and then average the results.

Step-by-step explanation:

Answer:

3.14

Step-by-step explanation:

You calculate anything times 3.14

Answer:

Answer:

18.135

Step-by-step explanation:

30*9.75=292.5

6.2%*292.5=18.135

Answer:

the fourth option: cannot be determined

Step-by-step explanation:

So the first option is the same as 21 times 9 which is more than 9, so it is incorrect.

The second option is the same as 2.3 times 21 and again its incorrect.

the third option  

the fourth option has the same outcome because the fractions are equal.

therefore it cannot be determined