Find the volume of the rectangular prism.

Answer:

19.2

Step-by-step explanation:

(cos^-1)(17/18)

Answer:

84cm^2

Step-by-step explanation:

Answer:

50.24 square feet

Step-by-step explanation:

Area of a circle = πr2

= π × 4^2

= 50.26 square feet

Answer:

B) 5.8

Step-by-step explanation:

Answer:

9.2

Step-by-step explanation:

Using the pythagoras therorem

hyp^2 = opp^2 + adj^2

10^2 = 4^2 _+ x^2

100 = 16 + x^2

x^2 = 100 - 16

x^2  = 84

x = √84

x = 9.2

Hence the value of x is 9.2

Answer:

4 sqrt(7)

Step-by-step explanation:

sqrt(112)

We know sqrt(a*b) = sqrt(a) sqrt(b)

Look for perfect squares

sqrt(16*7)

sqrt(16)sqrt(7)

4 sqrt(7)

Answer:

4√7

Step-by-step explanation:

√112

we know that ( a × b) = √a √ b

[tex] \small \sf \: \sqrt{16 \times 7} [/tex]

√16 × √7

4√7

Answer:

Reflection about the y-axis is according to the rule

(x,y)->(-x,y)

Therefore F(x,y) -> F'(-x,y)

The distance between F' and F is (-x,y)-(x,y)=-2x, or the positive distance is 2x.

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Answer:

[tex]y = \frac{1}{3} x + \frac{5}{3}[/tex]

Step-by-step explanation:

r = 5/(3sinθ-cosθ)

multiply both sides by (3sinθ-cosθ):

r(3sinθ-cosθ) = 5

expand:

3rsinθ-rcosθ = 5

replace rsinθ with y and rcosθ with x:

3y-x = 5

add x to both sides:

3y = x + 5

divide both sides by 3:

y = 1/3x + 5/3

: )

Answer:

x = [tex](-\frac{13}{2} ,0)[/tex] y = (0,26)

Step-by-step explanation:

First find the x intercept

To find the x intercept, substitute 0 for y and solve for x.

[tex](0)-6=4(x+5)[/tex]

Rewrite the equation as [tex]4(x+5)=(0)-6[/tex]

[tex]4(x+5)=(0)-6[/tex]

Subtract 6 from 0.

[tex]4(x+5)=-6[/tex]

Divide each term in [tex]4(x+5)=-6[/tex] by 4.

[tex]\frac{4(x+5)}{4} =\frac{-6}{4}[/tex]

Cancel the common factor of 4.

[tex]x+5=\frac{-6}{4}[/tex]

Simplify [tex]\frac{-6}{4}[/tex]

[tex]x+5=-\frac{3}{2}[/tex]

Subtract 5 from both sides of the equation.

[tex]x=-\frac{3}{2} -5[/tex]

To write [tex]-5[/tex] as a fraction with a common denominator, multiply by [tex]\frac{2}{2}[/tex]

[tex]x=-\frac{3}{2}-5[/tex] · [tex]\frac{2}{2}[/tex]

Combine [tex]-5[/tex] and [tex]\frac{2}{2}[/tex].

[tex]x=-\frac{3}{2} +\frac{-5*2}{2}[/tex]

Combine the numerators over the common denominator.

[tex]x=\frac{-3-5*2}{2}[/tex]

Simplify the numerator.

[tex]x=\frac{-13}{2}[/tex]

Move the negative in front of the fraction.

[tex]x=-\frac{13}{2}[/tex]

x = [tex](-\frac{13}{2} ,0)[/tex]

-----------------------------------------------------------------------------------------------------

Find the y-intercepts.

To find the y-intercept(s), substitute in 0 for x and solve for y.

[tex]y-6=4((0)+5)[/tex]

Add 0 and 5.

[tex]y-6=4 *5[/tex]

Multiply 4 by 5.

[tex]y-6=20[/tex]

Add 6 to both sides of the equation.

[tex]y=20+6[/tex]

Add 20 and 6.

[tex]y=26[/tex]

y = (0, 26)

Answer:

[tex]x=4; \ y=\frac{8}{\sqrt{3}}.[/tex]

Step-by-step explanation:

1) in the triangle with the angles 45; 90 and 45°: x=4√2/√2=4;

2) in the triangle with the angles 60; 90 and 30°: y=x/sin60°= 4/(√3/2)=8/√3

Answer:

x = 32 y=[tex]\frac{8}{\sqrt{3} }[/tex]

Step-by-step explanation:

solving for x

take 45 degree as reference angle

using sin rule

sin 45 = opposite / hypotenuse

[tex]\frac{1}{\sqrt{2} } = \frac{x}{4\sqrt{2} }[/tex]

do cross multiplication

[tex]4\sqrt{2} * 1 = x * \sqrt{2}[/tex]

[tex]\frac{4\sqrt{2} }{\sqrt{2} } = x[/tex]

root 2 and root 2 gets cancel.Then ,

x = 4

solving for y

take 60 degree as reference angle

using sin rule

sin 60 = opposite / hypotenuse

[tex]\frac{\sqrt{3} }{2} = \frac{x}{y}[/tex]

just now we found the value of x i.e 4 now substitute the value of x here.

[tex]\frac{\sqrt{3} }{2} = \frac{4}{y}[/tex]

do cross multiplication

[tex]2*4 = y * \sqrt{3}[/tex]

[tex]\frac{8}{\sqrt{3} } = y[/tex]

Step-by-step explanation:

- square root of 10 is irrational because it is less than zero. - square root of 10 is irrational because it is not a whole number.

Upon prime factorizing 10 i.e. 21 × 51, 2 is in odd power. Therefore, the square root of 10 is irrational.

Answer:

well it would reflect over the y axis and make the x cords all negative making D(-2,-3) so A is the answer

Given that 1-5(3+2.3)

follow BODMAS

1-15-11.5

-14-11.5

-25.5

Answer:

D.  -0.07 to nearest hundredth.

Step-by-step explanation:

Applying the Cosine Rule:

11^2 = 7^2 + 8^2 - 2*7*8 cos O

cos O = (11^2 - 7^2 - 8^2) / (-2*7*8)

= 8/-112

= -0.07143.

Answer:

x=50

Step-by-step explanation:

Since it's a straight line, 3x-20+x=180. 4x=200, x=50

Answer:

a)

10 markers : 7 USD

24 markers : 14 USD

42 markers : 21 USD

b)

64 markers : 28 USD

Step-by-step explanation:

10 markers : 7 USD

24 markers : 14 USD

For 10 markers, the price is 7 USD;

For 14 additional markers, the price increased by 7 USD;

Following the pattern, an additional 18 markers would see the price further increase by 7 USD;

So:

24 + 18 = 42

42 markers : 21 USD

Then, an additional 22 markers would cost 7 USD more than this;

42 + 22 = 64

64 markers : 28 USD

Answer:

the answerto this is 18.02.

Answer:

23

Step-by-step explanation:

you subtract 50 the max number from 27 the Lowest number

Answer:

x = 18

Step-by-step explanation:

(whole secant) x (external part) =  (whole secant) x (external part)

(6+x)6 = (8+10)* 8

6*(6+x) = 8(18)

Divide each side by 6

6+x = 8(18)/6

6+x = 8*3

6+x = 24

Subtract 6 from each side

6+x-6 =24-6

x = 18

Answer:

Starting on a platform 2 feet above sea level, dive down to a location that is 18 feet below sea level, and then rise 8 feet.

Step-by-step explanation:

Using the 2 + (-20) + 8 to describe movement relative to sea level ;

2 can be taken as the starting point, positive values represents elevation above sea level ;

2 can be taken as 2 feet platform above sea level ;

- 20 represents distance dived from platform, negative signifies elevation below sea level ; the distance dived relative to sea level is (-20 + platform height)

(-20 + 2) = - 18

8 feets means a final elevation of 8 above sea level (positive value).

Answer: 192

Step-by-step explanation:

3 x 8 = 24

24 x 8 = 192

Answer:

the set of possible solutions is the empty set {}.

or, whatever the equations describe is impossible.

or,... there can be many answers, depending on whatever the context of this question is.

Answer:

x= 2

Step-by-step explanation:

Answer:

3x + 4 = 2x + 6

3x +4 - 2x - 6 =0

x - 2 = 0

x = 2

3(2) +4 = 2(2) + 6

6 + 4 = 4 + 6

10 = 10

3x+2=2x+6

subtracting 2 from both sides

3x+2-2=2x+6-2

3x=2x+4

subtracting 2x from both sides

3x-2x=2x-2x+4

x=4

The answer is -15.

Because others are rational numbers but not integers.

-15 is the only rational number and integer.

Answer: Population Parameter

The characteristic or value of a population that is under consideration is called a parameter, which represents a numerical summary of the population's attributes or features.

The characteristic or value of a population that is under consideration is called a parameter.

In statistics, a parameter refers to a numerical value that describes a specific characteristic of a population.

It is often used to make inferences or draw conclusions about the entire population based on a sample.

Parameters can include measures such as the population mean, population standard deviation, population proportion, or any other characteristic that helps describe the population of interest.

It is important to distinguish parameters from statistics, which are the corresponding values calculated from a sample and used to estimate or infer the population parameters.

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Answer:

B. 3x - 7

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 4x - 3

g(x) = x + 4

(f - g)(x) is f(x) - g(x)

Step 2: Find

Answer:

(x+3)² + (y-2)² = 16

Step-by-step explanation:

the equation of a circle is

(x-a)² + (y-b)² = r²

with (a,b) being the center, and r the radius.