Solve the inequality.
3x + 6 <21

Answer:

5.83 ft

Step-by-step explanation:

Pythagorean Theorem:

a² + b² = c²

3² + 5² = c²

9 + 25 = c²

34 = c²

c ≈ 5.8309 ≈ 5.83

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-Chetan K

Answer:

The slope of the line that pass through the points (10, 4), and (6, 3) is 1/4

Step-by-step explanation:

The given points son the line are; (10, 4), and (6, 3)

The slope of a line is the rate of change of the y-values of the line relative to the x-values of the given line and the slope. 'm', can therefore be found by specifying two points on the line, (x₁, y₁), and (x₂, y₂), from which we get;

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Therefore, the slope of the found line is given as follows;

(x₁, y₁) = (10, 4) and (x₂, y₂) = (6, 3)

[tex]Slope \ of \ the \ line, \, m =\dfrac{3-4}{6-10} = \dfrac{-1}{-4} = \dfrac{1}{4}[/tex]

The slope of the line that pass through the points (10, 4), and (6, 3), m = 1/4

Answer:

65

Step-by-step explanation:

65+50=115

180-115=65

Answer:

(x + 2)(x + 5)

Step-by-step explanation:

Given

x² + 7x + 10

Consider the factors of the constant term (+ 10) which sum to give the coefficient of the x- term (+ 7)

The factors are + 2 and + 5 , since

5 × 2 = + 10 and 2 + 5 = + 7 , then

x² + 7x + 10 = (x + 2)(x + 5) ← in factored form

Answer:

c

24

Step-by-step explanation:

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

the scale drawing is usually reduced at a constant dimension

scale of the drawing = original dimensions / dimensions of the scale drawing

/LM/ is similar to /SR/

scale = 9 / 6 = 1.5 = 3/2

length of /ST/ = 12 / 1.5 = 8

Length of /TR/ = 15 / 1.5 = 10

Perimeter = sum of sides

8 + 10 + 6 = 24

there are 314.5 boys in the school .

Answer:

Solution given

let boys be x and girls be y.

now

according to the question;

x+y=575

and

y=x-54

substituting value of y in equation 1.

x+x-54=575

2x=575+54

x=629/2

x=314.5

Answer:

42 degrees

Step-by-step explanation:

triangle sum theorem says the sum of all triangles is equal to 180. I'm assuming this is a right triangle, so I created an equation similar to this:

90 + 48 + x = 180

Answer:

105 minutes

Step-by-step explanation:

[tex]1 \frac{3}{4} = 1 hour + \frac{3}{4} hour[/tex]

1 hour = 60 minutes

[tex]\frac{3}{4} \times 60 = 3 \times 15 = 45 minutes[/tex]

[tex]Therefore \ , \ 1 \frac{3}{4} = 60 + 45 = 105\ minutes[/tex]

The values of [tex]1\dfrac{3}{4}[/tex] hours in minutes is 105 minutes.

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

The operator that perform arithmetic operation are called arithmetic operators .

Operators which let do basic mathematical calculations

+ Addition operation : Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation : Subtracts right hand operand from left hand operand.

for example 4 -2 = 2

* Multiplication operation : Multiplies values on either side of the operator

For example 4*2 = 8

/ Division operation : Divides left hand operand by right hand operand

For example 4/2 = 2

Given data as :

It takes [tex]1\dfrac{3}{4}[/tex] hours to cook a large chicken in the oven.

⇒  [tex]1\dfrac{3}{4}[/tex] hours = 1 hours + 3/4 hours

∵ 1 hour = 60 minutes

∴ 3/4 hours = (3/4)×60 = 45 minutes

Substitute the values in above equation,

⇒  [tex]1\dfrac{3}{4}[/tex] hours = 60 minutes + 45 minutes

⇒  [tex]1\dfrac{3}{4}[/tex] hours = 105 minutes

Hence, the values of [tex]1\dfrac{3}{4}[/tex] hours in minutes is 105 minutes.

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Answer:

24 is right

Step-by-step explanation:

Answer:

x < -8

Step-by-step explanation:

-2(x+3) < 10

-2x -6 < 10

-2x < 10 + 6

-2x < 16

x < 16/-2

x < -8

Answer:  a. yes, because the center is on the x-axis.

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

Explanation:

The x intercepts always occur when y = 0.

Replace y with 0 and solve for x

x^2-4x+y^2 = -3

x^2-4x+0^2 = -3

x^2-4x+0 = -3

x^2-4x = -3

x^2-4x+3 = 0

(x-3)(x-1) = 0

x-3 = 0 or x-1 = 0

x = 3 or x = 1

This shows that the x intercepts are located at (3,0) and (1,0). Refer to the diagram below. The diagram shows that the roots are at points A and B. The center is the midpoint of A and B. The center is also on the x axis.

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

Here's another approach:

The general template of a circle is (x-h)^2 + (y-k)^2 = r^2

Let's complete the square of the original given equation to get it into that template form above.

x^2 - 4x + y^2 = -3

(x^2-4x) + y^2 = -3

(x^2-4x+4) + y^2 = -3+4 ... add 4 to both sides

(x-2)^2 + y^2 = 1

(x-2)^2 + (y-0)^2 = 1^2

The equation is now in the template form mentioned earlier. The center is at (h,k) = (2,0) which is on the x axis.

Answer:

the volume would be 84

Step-by-step explanation:

multipacation

Answer:

The y intercept of Function A is less than the y intercept of Function B.

Step-by-step explanation:

To find the y-intercept of the equation for A set x=0 and solve for y

Y=4(0)+1 therefore the y intercept for equation A is y=1

To find the y intercept for graph B you find the point where the graph intercepts the y axis which in this case it looks like it intercepts(crosses) the y axis at y=2

Therefore equation A y- intercept(y=1) < equation B y-intercept (y=2)

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Answer:

288pi or approximately 904.32

Step-by-step explanation:

The volume of a sphere is

V = 4/3 pi r^3 where r is the radius

V = 4/3 pi (6)^3

V = 288 pi

If we use the approximation for pi

V = 288(3.14)

V =904.32

Answer:

V = 288π units³

Step-by-step explanation:

The formula for the volume of a sphere is V = (4/3)πr³.

With r = 6 units, the volume of this sphere is V = (4/3)π(6 units)³, or

V = (4π/3)(216 units³), or V = 288π units³

When he cubed ,

Result is x³

On further squaring x³, he got = (x³)²

[tex] {x}^{6} [/tex]

Answer:

6.14 rounded to the nearest hundreth.

Every paralelogram equals 360º. And every oppisite angle is eqaul to each other. So by doing the math we can tell the smaller angles is 80º. Now we solve for x.

80=7x+37 minus 37 from both sides

43=7x.   then divide both side by 7 to cancel it out

6.14=x that is the answer rounded

You can check by inputing x's vaule into the equation and getting the angle measurment we solved for which is 80º.

7(6.14)+37

by doing this you get 80, the measure of the angle so the vaule for x is 6.14 rounded to the nearest hundreth.

This is what you get when you simplify the problem.

Answer:

[tex]y=-11x-16[/tex]

Step-by-step explanation:

We want to find the equation of the tangent line to the function:

[tex]f(x)=4x^2+5x[/tex]

At the point (-2, 6).

First, we will need the slope of the tangent line. So, differentiate* the function:

[tex]f'(x)=8x+5[/tex]

Find the slope when x = -2:

[tex]f'(-2)=8(-2)+5=-11[/tex]

Now, we can use the point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

Our point is (-2, 6) and our slope is -11. Substitute:

[tex]y-(6)=-11(x-(-2))[/tex]

Simplify:

[tex]y-6=-11(x+2)[/tex]

Distribute:

[tex]y-6=-11x-22[/tex]

And add six to both sides. Therefore, our equation is:

[tex]y=-11x-16[/tex]

If you have not yet learned differentiation, here's the method using the difference quotient! The difference quotient is given by:

[tex]\displaystyle f'(x)=\lim_{h\to 0}\frac{f(x+h)-f(x)}{h}[/tex]

Here, x = -2. Substitute:

[tex]\displaystyle f'(-2)=\lim_{h\to 0}\frac{f(-2+h)-f(-2)}{h}[/tex]

Substitute (we are given the point (-2, 6). So, f(-2) = 6).

[tex]\displaystyle f'(-2)=\lim_{h\to 0}\frac{(4(-2+h)^2+5(-2+h))-(6)}{h}[/tex]

Expand and simplify:

[tex]\displaystyle f'(-2)=\lim_{h\to 0}\frac{(4(4-4h+h^2)+(-10+5h))-(6)}{h}[/tex]

Distribute:

[tex]\displaystyle f'(-2)=\lim_{h\to 0}\frac{16-16h+4h^2-10+5h-6}{h}[/tex]

Simplify:

[tex]\displaystyle f'(-2)=\lim_{h\to 0}\frac{4h^2-11h}{h}[/tex]

Evaluate the limit (using direct substitution):

[tex]\displaystyle f'(-2) = \lim_{h\to 0}4h-11=4(0)-11=-11[/tex]

Answer:

17.804

Step-by-step explanation:

Pythagorean theorem. 14^2 + 11^2 = c^2

Answer:

1600mm

Step-by-step explanation:

total length of the line segment = length of the first string + length of the second string

to add the strings together, convert the length of the first string to millimetre

1cm = 10mm

95 x 10 = 950mm

950mm + 650mm = 1600mm

Answer:

The equation would be (x – 3)^2 + (y – 4)^2 = √26^2 or 26.

Step-by-step explanation:

Firstly, we need to find the radius of the circle. In this case, through the Pythagorean theorem, we can find it to be √(9-4)^2 + (4-3)^2 = √25 + 1 = √26.

Therefore, the equation of the circle would be (x – h)^2+ (y – k)^2 = r^2, where h and k are the x and y-coordinates of the center of the circle respectively, and r is the radius. Hence, the equation of this circle would be (x – 3)^2 + (y – 4)^2 = √26^2 or 26.

Hope this helped!

Answer:

Step-by-step explanation:

Equation in standard form:

where (h, k) is the center and r- radius

On the graph we have (h, k) = (3, 4)

Find the r² using the distance formula:

The equation is:

Answer:

b. 240

Step-by-step explanation:

sin of 300 is equal to -.86

sin of 240 is equal to -.86

use calculator

Answer:

im in ur math class dawg lol

Step-by-step explanation:

Answer:

it is 14 pls make me brainliest pls

Step-by-step explanation:

Answer:

Decreased by 20%.

16 lbs is 80% of 20 lbs.

Step-by-step explanation:

[tex]\frac{y}{100} :\frac{16}{20}[/tex]

y × 20 = 16 × 100

20y = 1600

20y ÷ 20 = 1600 ÷ 20

y = 80

100% - 80% = 20%

Answer:

answer

4( y+ 2 )

4y + 8

y = 8/4

y = 2

Answer:4

(

+

2

)

4(y+2)

4(y+2)

Simplify

1

Distribute

4

(

+

2

)

{\color{#c92786}{4(y+2)}}

4(y+2)

4

+

8

{\color{#c92786}{4y+8}}

4y+8

Solution

4

+

8

Step-by-step explanation:

whats the height of the cylinder....

we cant find radius if not given height too

V = pie r^2 h

1357 = 22/7 x r^2 x 12

1357 = 264/7 r^2

multiply both side by 7/264 ;

r^2 = 36

r = 6in

The question has the image missing. Check the attachment for the complete question.

The radius of the cylinder r = 6 in, given the volume of the cylinder, is 1357 in³.

The volume of a figure is the total space enclosed within the figure.

The volume of a cylinder of radius r units, and height h units is determined using the formula,

The volume of the cylinder = πr²h.

In the question, we are given a cylinder of the height of 12 inches and a radius of r inches.

The volume of the cylinder is given to be 1357 in³ approximately.

By the formula,

The volume of the cylinder = πr²h

or, 1357 = 3.14*(r²)*12

or, 1357 = 37.68r²

or, r² = 1357/37.68

or, r² = 36.013 ≈ 36 = 6²

∴ r = 6.

∴ The radius of the cylinder r = 6 in, given the volume of the cylinder, is 1357 in³.

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