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Answer:x

=4

permiter=6

area=24

Step-by-step explanation:

Answer:

x = 8, area = 364 km^2, perimeter = 80 km

Step-by-step explanation:

to start, we have to recognize that opposite sides of a rectangle are congruent.

therefore ➪

2x + 10 = 4x - 6

2x + 16 = 4x

16 = 2x

x = 8

now just plug that in and you'll find ➪

length = 26km

width = 14km

area = l * w

area = 26 * 14

area = 364 km^2

perimeter = 2(l + w)

perimeter = 2(14+26)

perimeter = 80 km

Answer:

The volume of the cylinder is about 1256.6 cubic meters.

Step-by-step explanation:

The volume of a cylinder is given by the formula:

[tex]\displaystyle V=\pi r^2h[/tex]

Where r is the radius and h is the height.

Our radius is 10 meters and our height is four meters. Substitute:

[tex]\displaystyle V=\pi(10)^2(4)[/tex]

Evaluate:

[tex]V=400\pi \text{ m}^3\approx 1256.6\text{ m}^3[/tex]

Thus, the volume of the cylinder is about 1256.6 cubic meters.

Answer:

196608

Step-by-step explanation:

Answer:

9/35

Step-by-step explanation:

There are a total of 15 bulbs to choose from randomly. First a new bulb is chosen. Chance is 9/15 because 9 out of 15 are new.

Then there are only 14 bulbs left. Then a used bulb is chosen. Chance is 6/14 since 6 out of remaining 14 are used.

Total chance for this to happen is 9/15 * 6/14 = 54/210 = 9/35.

Answer:

AB, BC and AC.

Step-by-step explanation:

The length of a side of a triangle is proportional to the angle across it.

Here the order of angles are, from smallest to largest, C, A and B.

The corresponding order of lengths (of the opposite sides) are therefore:

AB, BC and AC.

Part (a)

The angles would stay the same. This is because similar figures keep the same shape, but the size will shrink or grow.

A real world application is to simply move your head closer to the page and the figure will appear to get larger. The angles themselves stay the same but the side lengths will get larger.

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

Part (b)

While the angles stay the same under a dilation operation, the side lengths do not. As the instructions state: "The side lengths are 3 times longer" (paraphrased).

So we multiply each side length in the diagram by 3

Refer to the diagram below. I've used the resize feature to enlarge the image to make figure DEFG

Answer:

-12^3

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

(-12)^1+1+1

-12^3

In multiplication if base are same we can add their exponent(power).

Answer:

1. spends $80

2. Each garlic bread costs the same

3. Orders a pizza for 25.50 and two garlic breads

Step-by-step explanation:

Answer:

p = 6x + 10

Step-by-step explanation:

p = 2(l + w)

p = 2(6 + (3x - 1))

Simplify terms inside parenthesis

p = 2(3x + 5)

Distribute

p = 6x + 10

Answer:

50°

Step-by-step explanation:

The sum of the internal angles of a triangle is always 180°. The PQR triangle have 70° + 60° = 130°, so it need to have more 50° to complete 180°, and the angle x have the same size that this "missing angle" from the PQR triangle because the angle x is formed by the same segments, so it have 50°

Answer:

x = 10

Step-by-step explanation:

The secant- secant angle 3x is half the difference of the intercepted arcs, that is

3x = [tex]\frac{1}{2}[/tex] (4x + 50 - 30 )

3x = [tex]\frac{1}{2}[/tex] (4x + 20) = 2x + 10 ( subtract 2x from both sides )

x = 10

Answer:

The probability that it isn't orange is 5/6

Step-by-step explanation:

There are twelve crayons and two are orange so there is ten that aren't orange. Probability being 10/12. We can now simplify to 5/6. There you go easy as.

Many regards, Abdelmumen Nakoa.

Answer:

42 units

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given

[tex] {7}^{4} \div 7[/tex]

Since,

[tex] {a}^{x} \div {a}^{y} = {a}^{x - y} [/tex]

Hence,

[tex] = {7}^{4 - 3} [/tex]

[tex] = {7}^{3} (ans)(as \: a \: single \: power \: of \: 7)[/tex]

a= -3

b= 1

k = 2

h= 0

refer to the attachment

The logarithmic equation f(x) = log(100) in the form g(x) = k + a log b(r – h) is f(x) = 0 + 2log(10 - 0)

In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a number x to the base b is the exponent to which b must be raised, to produce x. For example, since 1000 = 10³, the logarithm base 10 of 1000 is 3, or log₁₀ = 3.

Here, we have,

to rewrite the logarithmic equation:

The equation is given as:

f(x) = log(100)

Express 100 as 10^2

f(x) = log(10^2)

Apply the law of logarithm

f(x) = 2log(10)

Subtract 0 from 10

f(x) = 2log(10 - 0)

Add 0 to the equation

f(x) = 0 + 2log(10 - 0)

Hence, the logarithmic equation f(x) = log(100) in the form g(x) = k + a log b(r – h) is f(x) = 0 + 2log(10 - 0)

Read more about logarithmic equation at:

brainly.com/question/13473114

#SPJ3

complete question:

Express f(x) = log(100) in the general form of a logarithmic function, g(x) = k + a log b(r – h).

Answer:

Area = 21.7777 m²

Step-by-step explanation:

Side of the square = 14 / 3.

Area of the square = side²

→ (14/3)²

→ 196/9

→ 21.7777 m²

Answer:

all real values

Step-by-step explanation:

there is no value for x, where the operations in f(x) would run into an undefined or outright invalid situation. whatever x we can think of, f(x) will calculate a valid y.

Answer:

4/3

Step-by-step explanation:

-(16/9) = (p/q) (-4/3)

(-16/9)*(-3/4) = (p/q)

4/3 = p/q

Answer:

Step-by-step explanation:

Let the number be x

[tex]x *\frac{-4}{3}=\frac{-16}{9}\\\\x=\frac{-16}{9}*\frac{3}{-4}\\\\x=\frac{4}{3}[/tex]

Answer:

D

Step-by-step explanation:

Frizzy cola is 4.1 through 4.3 inclusive

This means that the pH Range of frizzy cola is between 4.1 to 4.3(including 4.3)

If the pH value is represented as h :

The the lower bound will be 4. 1

Upper bound will be 4.3

This means :

4.1 less than or equal to h and h is less than or equal to 4.3

4.1 ≤ h ≤ 4.3

Since, 7 is neutral, values below 7 are acidic while above 7 are alkaline ;

The range is below 7, hence, frizzy cola is acidic.

4.1 ≤ h ≤ 4.3 ; acidic

Answer:3.14

Step-by-step explanation:because pie

Answer:

Step-by-step explanation:

angle 4 is congruent to angle 4 because they are alternate interior angles.

angle 5 is congruent to angle 3 because they are alternate interior angles.

angle 1+angle 2+angle 3 is equal to (=) angle 1+angle 2+angle 3

angle 1+angle 2+angle 3=180 degree(being sum of interior angles of a trianngle)

Answer:

The plane figure has a symmetry about an axis

Answer:

plane symmetry and symmetry about an axis

Step-by-step explanation:

A three-dimensional figure has plane symmetry if a plane can divide the figure into two congruent reflected halves.So, the given figure has seven plane symmetries.

A three-dimensional figure has symmetry about an axis if there is a line about which the figure can be rotated by an angle greater than 0∘ and less than 360∘ so that the image coincides with the preimage.So, the given figure has symmetry about seven axes.

Therefore, the figure has plane symmetry and symmetry about an axis.

Refer to the attachment...

Since the line is parallel to the given equation , slope of required line = slope of the given equation of line

slope = -1/2

Answer:

ratio

Step-by-step explanation:

i just know

Answer:

A Ratio

Step-by-step explanation:

its a ratio

your welcome ☺

Answer:

[tex]r^{3}=4050[/tex]

r = ∛4050

Step-by-step explanation:

[tex]V=\frac{4}{3} \pi r^{3}[/tex]

[tex]5400=\frac{4}{3} \pi r^{3}[/tex]

[tex]r^{3}=3(\frac{5400}{4} )[/tex]

[tex]r^{3}=3(1350 )[/tex]

[tex]r^{3}=4050[/tex]

The probability Cynthia's porridge is just right is 15%.

A probability describes how likely is for an event to occur. Probabilities can be expressed using different but one of the most common ways to express probability is to use percentages or 0% to 100%.

Moreover, in some cases, the probability of an event occurring is directly related to the probability of another event. For example, if Cynthia porridge is hot, it means it is neither right nor cold.

Based on this, we can calculate the probability of one event by adding the probabilities of other events and subtracting the result to 100% (total events).

Learn more about probabilities in: https://brainly.com/question/8069952

Answer:

15%

Step-by-step explanation:

Answer:

(6x + 5)(x + 2)

Step-by-step explanation:

x coefficients must multiply to 6

so 6 * 1 or 2*3

10 must be 5*2 or 1* 10

(6x + 5)(x + 2) = (6x² + 12x + 5x + 10) = 6x² + 17x + 10