A rectangular one story house covers an area of 2,700 square feet. The ceilings are 9 feet high. What is the volume of the interior of the house

Answer:

B. 5070π in³

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Volume of a Cylinder Formula: V = πr²h

Step-by-step explanation:

Step 1: Define

Identify variables

r = 13 in

h = 30 in

Step 2: Find Volume

Answer:

[tex]\large\fbox{B. 5070 π inches³}[/tex]

Step-by-step explanation:

The Volume of cylinder

Volume of cylinder = π × r ² × h

Where,

Using Formula

➛Volume of cylinder = π × r ² × h

substitute the values into the formula

➛ Volume of cylinder = π × ( 13 inches)² × 30 inches.

Evaluate exponent

➛ Volume of cylinder = π × 169 inches ² × 30 inches.

multiply, we get

➛ Volume of cylinder = 5070 π inches ³.

Therefore, option B which is 5070 π inches³ is the correct ☑ answer.

Answer:

x = 4

Step-by-step explanation:

6(6 + x) = 5(5 + x + 3) => secant secant theorem

36 + 6x = 5(8 + x)

36 + 6x = 40 + 5x

Subtract 36 from each side

36 + 6x - 36 = 40 + 5x - 36

6x = 4 + 5x

Subtract 5x from each side

6x - 5x = 4 + 5x - 5x

x = 4

Answer:

13

Step-by-step explanation:

Answer: 105

Step-by-step explanation:

Given

The ratio of men to women working for a company is 4:7

There are total of 165 employees

Suppose, there is  4x men and 7x women such that the ratio remains constant

[tex]\therefore 4x+7x=165\\\Rightarrow 11x=165\\\Rightarrow x=15[/tex]

[tex]\text{Men= }4\times 15=60\\\text{Women= }7\times 15=105[/tex]

Answer:

x = 2, y = - 1

Step-by-step explanation:

Given the 2 equations

y = - 7x + 13 → (1)

y = - 1 → (2)

Substitute y = - 7x + 13 into (2)

- 7x + 13 = - 1 ( subtract 13 from both sides )

- 7x = - 14 ( divide both sides by - 7 )

x = 2

y = - 1 is already given in (2)

Then x = 2, y = - 1

Answer:

Step-by-step explanation:

Polynomials are factored after they are set equal to 0. This i because the factors of the polynomial are also known as the x-intercepts, and x-intercepts exist where y = 0. Therefore, if the factors of the polynomial are

(x + 8)(x + 4) = 0, then by the Zero Product Property,

x + 8 = 0 so x = -8 or

x + 4 = 0 so x = -4. Choice A.

Answer:

It would be a negative linear association if not then nonlinear association.

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

This I because the area of a square is =

(length of on side)² = l²

The options there are not perfect squarss except A

which is 64 in²

And we know that 8² will give you 64

so then it means one side is 8 in

So the area =

8² = 8 in × 8 in = 64 in²

Answer:

x = 106º

Step-by-step explanation:

There are 180º in every triangle

x = 180 - 32 - 42

x = 106º

Answer:

x= 106 degree

Step-by-step explanation:

x + 42 + 32=180 degree (sum of interior angles of a triagle is 180 degree)

x + 74 = 180

x = 180 - 74

x = 106 degree

Given:

A figure and an incomplete equation [tex]m\angle GEM+m\angle MEO+m\angle \_\_[/tex].

To find:

The missing value for the given equation by using the angle addition postulate.

Solution:

A ray EM divides the angle GEO into two parts. The first part is [tex]\angle GEM[/tex] and the second part is [tex]\angle MEO[/tex].

Using the angle addition postulate [tex]\angle GEO[/tex] is the sum of [tex]\angle GEM[/tex] and [tex]\angle MEO[/tex].

[tex]m\angle GEM+m\angle MEO+m\angle GEO[/tex]

Therefore, the missing value is GEO and the complete equation is [tex]m\angle GEM+m\angle MEO+m\angle GEO[/tex].

Answer:

10

Step-by-step explanation:

Answer:

86 sq units

Step-by-step explanation:

it is the because:

18*4=72

3.5*4/2=7

7+7+72=86 sq units

Answer:

25 red marbles

Answer:

creo que es 96%

Step-by-step explanation: sume todo los chiles excepto los chiles rojos y luego con la suma de todos los chiles los reste con los chiles rojos.

Answer:

A) $24

Step-by-step explanation:

Looking at the graph, each gallon of gasoline is $3. Therefore, the equation would be y = 3x. To solve for 8 gallons, substitute the value into the equation.

y = 3(8) = 24

Therefore, the cost of 8 gallons of gasoline would be $24.

Answer:

10

Step-by-step explanation:

3x + 5y

Let x= -5 and y =5

3(-5) + 5(5)

Multiply first

-15 +25

Then add

10

Answer:

65 seats

Step-by-step explanation:

1. Approach

To answer this question, one has to find the rate at which seats are added to each row. Then one must find the number of seats in the first row. Using this information, one can form an equation to find out how many seats are in any given row when given the row number. Finally, one can substitute (20) into the equation to find out how many seats are in the row (20).

2.Find the rate at which seats are added

One is given the row number and the corresponding number of seats in the row. This information is presented in the formate ([tex]x,y[/tex]), as the following is,

(3, 31), (6, 37)

Where (x) is the row number and (y) is the number of seats.

To find the rate at which seats are added, one must solve for the rate of change. This can be done using the following formula,

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Substitute in the given information and solve for the rate of change,

[tex]\frac{37-31}{6-3}[/tex]

Simplify,

[tex]\frac{37-31}{6-3}\\=\frac{6}{3}\\=2[/tex]

Seats are added at a rate of (2) seats per row.

3. Find the equation

The easiest way to write the equation of this situation is to use the equation of a line is in the slope-intercept form. This form is as follows,

[tex]y=mx+b[/tex]

Where (m) is the slope of the line and (b) is the (y-intercept). As one found in (step (2)) the slope of the line is (2). Substitute this into the equation,

[tex]y=2x+b[/tex]

One is given that (3, 31) is a part of this scenario, substitute this point into the equation and solve for the unknown,

[tex](31)=2(3)+b[/tex]

Simplify,

[tex]31 = 6+b[/tex]

Inverse operations,

[tex]31=6+b\\25=b[/tex]

Substitute this into the equation to complete the equation,

[tex]y=2x+25[/tex]

4.Find how many seats are in the row (20)

Now that one has the equation to find the number of seats where (x) represents the row number and (y) represents the number of seats. Substitute in the row number (20) to solve to find the number of seats in the row.

[tex]y=2x+25[/tex]

[tex]y=2(20)+25[/tex]

Simplify,

[tex]y=2(20)+25\\y=40+25\\y=65[/tex]

Answer:

b and c

Step-by-step explanation:

Answer:

Hands down c and b

Step-by-step explanation:

Answer:

173*3*j3

Step-by-step explanation:

naksbvajahagcgaja

Answer:

HIHHIHIHIHIHIHIHIH

Step-by-step explanation:

IHIHIHIHIHIHIHIHIH

Answer:

A. csc 0 = -5/4 or B. cos 0 = 3/5

Answer:

B or A

Step-by-step explanation:

sec(theta) = 1/cos(theta)

cos(theta) = adjacent side / hypotenuse.

The csc(theta), the sin(theta) and the tan(theta) in quad 4 are all minus

Since the cos(theta) is positive in quad 4, B is going to be the answer.

The value for sin(theta) should be sin(theta) = - 4/5 not 2/5

Tan(theta) = - 4/3

Note: 4 is found by using the Pythagorean Theorem because the trigonometric functions are all defined by the sides of a right triangle.

a^2 + b^2 = c^2

a = the adjacent side = 3

b = the opposite side = b

c = the hypotenuse = 5

3^2 + b^2 = 5^2

9 + b^2 = 25

b^2 = 16

b = 4

Answer:

Step-by-step explanation:

to prove it right angle

square of largst side must be eqaul to the sum of two other sides.

so here 12 is largest and 11 and 5 are two other smallest sides of a triangle.

(12)^2=(11)^2+(5)^2

144=121+25

144=146

since the square of largest side is not equal to the sum of square of other two smaller sides it can be concluded that the given sides of a triangle does not form a right angled triangle.

Answer:

B A B

Step-by-step explanation:

Answer:

1. A or one meter

2. A or 4 kilometers

3. B or 4 thousand strides

Step-by-step explanation:

marathon is 4 kilometers and a kilometer is 1000 strides or meters.

Answer:

12

Step-by-step explanation:

Each half of the isosceles triangle is a right triangle with side lengths 3, 4, 5.

A = bh/2

A = 8 * 3/2

A = 12

Answer:

[tex]\frac{\sqrt{47}}{10}[/tex]

Step-by-step explanation:

First you find the missing side using the Pythagorean theorem of [tex]a^{2} +b^{2} =c^{2}[/tex].

Which is [tex](\sqrt{53})^{2} + b^{2} = 10^{2}[/tex].

do the squares to make it 53 + [tex]b^{2}[/tex] = 100 and solve for b.

[tex]b^{2} = 100-53\\b^{2} = 47\\b= \sqrt{47}[/tex]

Sine of an angle is Opposite over Hypotenuse to get

[tex]\frac{\sqrt{47} }{10}[/tex]

Step-by-step explanation:

a. 3x²+10x+8 = (3x+4)(x+2)

b. 4x²+21x-18 = (4x-3)(x+6)

c. 3x²+8x+5 = (3x+5)(x+1)

d. 6x²+5x-4 = (2x-1)(3x+4)

e. 15x⁴-23x²+4 =(5x²-1)(3x²-4)

f. 15x⁴+23x²+4 =(5x²+1)(3x²+4)

g. 6x²-7x-3 = (2x-3)(3x +1)

h. 6x²-43x+72 = (3x-8)(2x-9)

umm...... No because 1 haven't give any semester

Answer:

Multiply the numerator and the denominator of the fraction by 2.

Step-by-step explanation:

Here are the options :

Divide the numerator and denominator of the fraction by 2.

Subtract 40 from the numerator and denominator of the fraction.

Multiply the numerator and the denominator of the fraction by 2.

Add 50 to the numerator and denominator of the fraction.

(45 x 2) / (50 x 2) = 90/100

Multiply 90/100 by 100 = 90%

the same answer would be gotten if 45/50 is multiplied by 100

45/50 x 100 = 90%

Hope this helps please mark me brainliest

Answer:

x = -3