Write this expression in simplest form.

Answer:

B

Step-by-step explanation:

1) find the base area

base area = side^2 = 30^2 = 900 m^2

2) find the Volume

V = (base area x height)/3 = (900 x 21)/3 = 6300 m^3

Answer:

B) 6,300 m³

Step-by-step explanation:

The volume of approximate = L×W×H/3

30×30×21/3=

answer: 6,300

[tex]**************[/tex]

hope it helps...

have a great day!!

Answer: 12 fourths

Step-by-step explanation: I cant drawa picture but i would suggest drawing 3 squares and drw a cross across each to make 12 squares all together

Answer:

can you show more?

Step-by-step explanation:

Answer:

(-6, 4)

Step-by-step explanation:

Given the coordinate points (-3,1). If The point (-3,1) is moved 3 places in the negative y direction and 2 places in the positive x direction the required coordinate will be expressed ss;

X' = (-3-3, 1+3)

X = (-6, 4)

Hence the resulting coordinate will be at:(-6, 4)

Answer:

Step-by-step explanation:

Parallel lines have same slope.

Use the given point and point-slope form:

Correct choice is D

Answer:

x = -1.434, x = -0.232

Step-by-step explanation:

Answer:

y = 4

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Its B I think Here go your answer.

Answer:

a) [tex]P(x > 2) = \frac{1}{6}[/tex]

b) [tex]P(x < 5) = \frac{1}{3}[/tex]

c) 50 times

Step-by-step explanation:

Given

[tex]S = \{1,2,3,4,5,6,7,8,9,10,11,12\}[/tex]

Solving (a): P(x > 10)

First, list all outcomes of x

[tex]x = \{11,12\}[/tex] --- 2 outcomes

So, the probability is:

[tex]P(x > 2) = \frac{2}{12}[/tex]

Simplify

[tex]P(x > 2) = \frac{1}{6}[/tex]

Solving (b): P(x < 5)

First, list all outcomes of x

[tex]x = \{1,2,3,4\}[/tex] --- 4 outcomes

So, the probability is:

[tex]P(x < 5) = \frac{4}{12}[/tex]

Simplify

[tex]P(x < 5) = \frac{1}{3}[/tex]

Solving (c): Expected outcome of 4, 6 or 9 in a roll of 200

We have:

[tex]n = 200[/tex]

First, list all outcomes of x

[tex]x = \{4,6,9\}[/tex] --- 3 outcomes

So, the probability is:

[tex]P(x ) = \frac{3}{12}[/tex]

Simplify

[tex]P(x ) = \frac{1}{4}[/tex]

The expected number of rolls (E(x)) is calculated as:

[tex]E(x) = P(x) * n[/tex]

[tex]E(x) = \frac{1}{4} * 200[/tex]

[tex]E(x) = 50[/tex]

Answer:

2

Answer:

A

Step-by-step explanation:

13 + 4 = 17

so A

Step-by-step explanation:

Side AB is Adj

Side BC is OPP

Side AC is HYP

Apply sine function.

[tex] \sin(x) = \frac{4}{13} [/tex]

Take the inverse of sine.

[tex] \sin {}^{ - 1} ( \frac{4}{13} ) = 17[/tex]

Answer:

D. X=6.08, x=-0.58

Step-by-step explanation:

Given the rational expression

[tex]\frac{2x}{x-4}-\frac{2x-5}{x^2-10x+24} = \frac{-3}{x-6}\\\frac{2x}{x-4}-\frac{2x-5}{x^2-4x-6x+24} = \frac{-3}{x-6}\\\frac{2x}{x-4}-\frac{2x-5}{x(x-4)-6(x-4)} = \frac{-3}{x-6}\\ \\\frac{2x}{x-4}-\frac{2x-5}{(x-4)(x-6)} = \frac{-3}{x-6}\\Rerrange;\\\frac{2x-5}{(x-4)(x-6)} = \frac{2x}{x-4}+ \frac{3}{x-6}\\\frac{2x-5}{(x-4)(x-6)} = \frac{2x(x-6)+3(x-4))}{(x-4)(x-6)}\\[/tex]

Cancel out the denominator on both sides

[tex]2x-5 = 2x(x-6)+3(x-4)\\Expand\\2x-5 =2x^2-12x+3x-12\\2x-5 = 2x^2-9x-12\\Equate \ to \ zero\\2x^2-9x-12-2x+5 = 0\\2x^2-11x - 7 = 0\\[/tex]

Factorize

[tex]x = -(-11)\pm\frac{\sqrt{(-11)^2-4(2)(-7)} }{2(2)}\\x = 11\pm\frac{\sqrt{121+56} }{4}\\x = 11\pm\frac{\sqrt{177} }{4}\\x = 11\pm\frac{13.3 }{4}\\x = \frac{11+13.3}{4} \ and \ x = \frac{11-13.3}{4} \\x = 6.08 \ and \ - 0.58[/tex]

Hence the required solution is X=6.08 and -0.58

Answer:

(1, -1)

Step-by-step explanation:

Given the expression

x+y = 0 .....1

y = x²+2xy ....2

From equation 1, x = -y

Substitute into 3

y = x²+2xy

y = (-y)²+2(-y)y

y = y²-2y²

y = -y²

1 = -y

y = -1

Since x = -y

x = -(-1)

x = 1

Hence the required solution is (1, -1)

Answer:

17) m = 35; n = 110

18) b = 90; c = 80; d = 100

Step-by-step explanation:

17)

2m = 70

m = 35

n + 70 + 70 + n = 360

2n + 140 = 360

2n = 220

n = 110

18)

b - 10 + b + 10 = 180

2b = 180

b = 90

b - 10 = c

90 - 10 = c

c = 80

b + 10 = d

90 + 10 = d

d = 100

Answer:

a

Step-by-step explanation:

its a because 12cm×10cm×9cm = 1,080cm

Answer

x+5

Step-by-step explanation:

2x+10 = 2(x+5)

Answer:

The answer would be C The high the number of miles a car has driven, the less gasoline is left in the tank

Answer:

True

Step-by-step explanation:

J(9 , 0) ;   K(-3 , -4)

Midpoint = [tex](\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})[/tex]

               [tex]= (\frac{9+(-3)}{2},\frac{0+(-4)}{2}\\\\\\= (\frac{6}{2},\frac{-4}{2})\\\\=(3 , -2)[/tex]

(3 , -2) lies in quadrant IV

Answer:

The answer is yes to both!

Hope that helps - we're studying the Pythagorean theorem right now! :)

Step-by-step explanation:

Answer:

please give the picture so only I can able to answer

The main question isn't supplied.

Answer:

Kindly check explanation

Step-by-step explanation:

A right - angled triangle is one which has one of its angles being 90°. Once we have a right angled triangle, the rule of Pythagoras can be applied in other to solve problems relating to obtaining sides of the triangle while trigonometric relations including :

Sinθ = opposite / hypotenus

Tanθ = opposite / Adjacent

Cosθ = Adjacent / Hypotenus

To obtain the angle θ; depending on which of the sides are given.

From Pythagoras :

c² = a² + b²

Where, c = hypotenus and the longest side if the triangle.

Answer:

its 30

Step-by-step explanation:

Answer:

the number represent the opposite of E is 3

Answer:

5

Step-by-step explanation:

d = 5

For:

(X1, Y1) = (3, 7)

(X2, Y2) = (8, 7)

Distance Equation Solution:

d=(8−3)2+(7−7)2−−−−−−−−−−−−−−−√d=(8−3)2+(7−7)2

d=(5)2+(0)2−−−−−−−−−√d=(5)2+(0)2

d=25+0−−−−−√d=25+0

d=2–√5d=25

d=5

Answer:

5 units

Step-by-step explanation:

It is 5 units because when you plot (3,7) you have to move 5 units to the right.

Answer:

Hope it helps you!!!

Please mark as brainliest!!!!

Step-by-step explanation:

The formula for finding the circumference of a circle is pi x diameter. So it would be 3.14 x 2. And when you calculate it you get 6.28.

Answer:

6.28

Step-by-step explanation:

Answer:

the length of x must be 10

Step-by-step explanation:

Answer:

278 inches squared

Answer:

um, I checked the questions you asked and we have the same questions, I think we might be in the same school lol

There are 4.9 x 10³ times greater is the mass of a gold atom than the mass of a helium-4 atom.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

We have to given that;

The mass of a gold atom is 3.29 x 10⁻²² grams.

And, The mass of a helium-4 atom is, 6.65 x 10⁻²⁴ grams.

Hence, The amount of greater is the mass of a gold atom than the mass of a helium-4 atom is,

⇒ 3.29 x 10⁻²² /  6.65 x 10⁻²⁴

⇒ 0.49 x 10²

⇒ 4.9 x 10³

Thus, There are 4.9 x 10³ times greater is the mass of a gold atom than the mass of a helium-4 atom.

Learn more about the divide visit:

https://brainly.com/question/28119824

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Answer:

The is asking to choose among the following choices that cannot describe a system of linear equations and base on the choices, I would say that the correct answer among them is in letter B. exactly two solution, I hope you are satisfied with my answer and feel free to ask for more.