What percent of 481 is 74?

Answer:

Step-by-step explanation:

[tex]\frac{d}{dx} (sin~x)=cos~x\\\frac{d}{dx}(cos~x) =-sin~x\\\frac{d^2}{dx^2} (sin~x)=\frac{d}{dx} (cos~x)=- sin~x\\\frac{d^2}{dx^2} (cos~x)=\frac{d}{dx} (-sin~x)=-cos~x[/tex]

tis a little of plain differentiation.

we know the radius of the cone is decreasing at 10 mtr/mins, or namely dr/dt = -10, decreasing, meaning is negative.

we know the volume is decreasing at a rate of 1346 mtr/mins or namely dV/dt = -1346, also negative.

so, when h = 9 and V = 307, what is dh/dt in essence.

we'll be needing the "r" value at that instant, so let's get it

[tex]V=\cfrac{1}{3}\pi r^2 h\implies 307=\cfrac{\pi }{3}r^2(9)\implies \sqrt{\cfrac{307}{3\pi }}=r[/tex]

now let's get the derivative of the volume of the cone

[tex]V=\cfrac{1}{3}\pi r^2 h\implies \cfrac{dV}{dt}=\cfrac{\pi }{3}\stackrel{product~rule}{ \left[ \underset{chain~rule}{2r\cdot \cfrac{dr}{dt}}\cdot h+r^2\cdot \cfrac{dh}{dt} \right]} \\\\\\ -1346=\cfrac{\pi }{3}\left[2\sqrt{\cfrac{307}{3\pi }}(-10)(9)~~+ ~~ \cfrac{307}{3\pi } \cdot \cfrac{dh}{dt}\right][/tex]

[tex]-\cfrac{4038}{\pi }=-\cfrac{180\sqrt{307}}{\sqrt{3\pi }}+\cfrac{307}{3\pi } \cdot \cfrac{dh}{dt}\implies \left[ -\cfrac{4038}{\pi }+\cfrac{180\sqrt{307}}{\sqrt{3\pi }} \right]\cfrac{3\pi }{307}=\cfrac{dh}{dt} \\\\\\ -\cfrac{12114}{307}+\cfrac{180\sqrt{3\pi }}{\sqrt{307}}=\cfrac{dh}{dt}\implies -7.920939735970634 \approx \cfrac{dh}{dt}[/tex]

Answer:

The perimeter of a shape is the total measurement of all the edges of a shape e.g. a triangle has three edges, so its perimeter is the total of those three edges added together.

Answer:

24.2 =x

Step-by-step explanation:

Since this is a right triangle, we can use a trig functions

cos theta = adj side / hypotenuse

cos 41 = x/ 32

32 cos 41 = x

24.1507=x

Round to the nearest tenth

24.2 =x

Answer:

Create a scatterplot

Step-by-step explanation:

Answer:

x > - 2

Step-by-step explanation:

- 9x - 15 < 3 ( add 15 to both sides )

- 9x < 18

Divide both sides by - 9, reversing the symbol as a result of dividing by a negative quantity.

x > - 2

The solution to the inequality - 9x - 15 < 3 is, x > - 2.

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

Given, An inequality of the form - 9x - 15 < 3.

- 9x < 3 + 15.

- 9x < 18.

Now, Moving the variable to the other side to make it positive we have,

9x > - 18.

x > - 18/9.

x > - 2.

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The slope of the function to 3 dp is 0.280

Slope is also known as the gradient of a function

Given the function [tex]f(x) =\frac{7}{x}[/tex]

Taking the derivative of the function will give:

[tex]f'(x)=-\frac{7}{x^2}[/tex]

Substitute x = 5 into the equation to have:

[tex]f'(x)=-\frac{7}{5^2}[/tex]

[tex]f'(x) = -\frac{7}{25}[/tex]

Hence the slope of the function to 3 dp is 0.280

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Answer:

Step-by-step explanation:

IQR is the difference between Q3 and Q1

According to the top box plot:

The IQR is:

Answer:

10

Step-by-step explanation:

Q1 = 4

Q3 = 14

IQR = 14 - 4 = 10

Answer:

1080°

Step-by-step explanation:

hope this helped <3

Answer: A,C,E

Step-by-step explanation:

edge 2023

Answer:

A. 94 degrees

Step-by-step explanation:

Both the angles are similar and can be called parallel angles.

They are equal to each other so:

m∠2 = m∠3

4x - 26 = 3x + 4

4x - 3x = 4 + 26

x = 30°

m∠2 = 4x - 26

        = 4(30) - 26

        = 94°

Answer:

∠ 2 = 94°

Step-by-step explanation:

∠ 2 and ∠ 3 are vertically opposite angles and are congruent, so

4x - 26 = 3x + 4 ( subtract 3x from both sides )

x - 26 = 4 ( add 26 to both sides )

x = 30

Then

∠ 2 = 4x - 26 = 4(30) - 26 = 120 - 26 = 94°

Step-by-step explanation:

baseline = 2×height.

area = baseline × height / 2 = 9 ft².

so, we can use the identity of the first equation and put it into the second equation :

9 = 2×height × height / 2 = height²

height = 3 ft.

baseline = 2×height = 2×3 = 6 ft.

The base of the triangle is 6 feet.

Let, the base of the triangle as "b" feet and the height as "h" feet.

Given that the area of the triangle is 9 square feet, we can use the formula for the area of a triangle:

Area = 0.5 * base * height

Plugging in the given values, we have:

9 = 0.5 * b * h

Since we're also given that the base is 2 times the height, we can write:

b = 2h

Now we have a system of two equations with two unknowns:

9 = 0.5 * b * h

b = 2h

We can substitute the value of "b" from the second equation into the first equation:

9 = 0.5 * (2h) * h

Simplify the equation:

9 = h²

Now, solve for "h" by taking the square root of both sides:

h = √9

h = 3

Now that we know the height "h" is 3 feet, we can find the base "b" using the second equation:

b = 2h

b = 2 * 3

b = 6

Therefore, the base of the triangle is 6 feet.

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Answer:

it should be the last option,

Step-by-step explanation:

if you have 8/8 of the money, and you give 1/8 of the money away, its a simple 8-1 equation!

Answer:

The remaining fraction of money is 7/8

Step-by-step explanation:

Answer:

What is the base and height????

Answer:

slope intercept form- y=mx+b

m=slope

b=y-intercept

how to find slope= rise/run

how to fine y-intercept= go straight down the y axis (up and down in the center of the graph) until you come across a point

slope=3

y-intercept=-1

answer= 3x-1

Answer:

Find the domain by finding where the equation is defined. The range is the set of values that correspond with the domain.Domain: [4,∞),{x|x≥4}[4,∞),{x|x≥4}Range: [0,∞),{y|y≥0}

La base y la altura del rectángulo mide 7 y 13 centímetros, respectivamente.

Por geometría sabemos que el área de un rectángulo ([tex]A[/tex]), en centímetros cuadrados, es igual al producto de la base ([tex]b[/tex]) y la altura ([tex]h[/tex]), ambas en centímetros.

Mediante álgebra tenemos la siguiente expresión:

[tex]x\cdot (x+ 6) = 91[/tex]

[tex]x^{2}+6\cdot x - 91 = 0[/tex] (1)

Las raíces de este polinomio se determinan mediante la fórmula cuadrática:

[tex]x_{1} = 7[/tex], [tex]x_{2} = 13[/tex]

En consecuencia, la base y la altura del rectángulo mide 7 y 13 centímetros, respectivamente. [tex]\blacksquare[/tex]

Para aprender más sobre rectángulos, invitamos cordialmente a ver esta pregunta verificada: https://brainly.com/question/17048958

You can use the sine law for the given triangle to find the measure of a.

The value of a is given by

Option D: 3 cm

For any triangle ABC, with side lengths |AB| = c units, |BC| = a units, and |AC| = b units, then

[tex]\dfrac{sinA}{a} = \dfrac{sinB}{b} = \dfrac{sinC}{c}[/tex]

(If you draw it, you will notice that sin of an angle is sitting over the side length of its opposite side. This is the most important thing that people can mistake most commonly).

We have these data

sin A = sin(40 degrees) = 0.643 approx

sin(b) = sin(95) degrees) = 0.996 approx

b = 4.7 cm

Using the first two inequalities, we get

[tex]\dfrac{sinA}{a} = \dfrac{sinB}{b} \\\\\dfrac{0.643}{a} = \dfrac{0.996}{4.7}\\\\a = \dfrac{0.643}{0.212} \approx 3 \: \rm cm[/tex]

Thus,

The value of a is given by

Option D: 3 cm

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Answer:D

Step-by-step explanation:

Answer:

[tex]x=\sqrt{6}[/tex]

Step-by-step explanation:

To find the hypotenuse, it is [tex]a^{2}+b^{2}=c^{2}[/tex]

So...

[tex]1^{2}+x^{2} =\sqrt{7}\\1+x^{2} =\sqrt{7} \\x=\sqrt{6}[/tex]

Answer:

24

Step-by-step explanation:

In order to find the volume of something you would have to multiply the width x the length x the height which is 3x2x4 which equals to 24.

Answer:

24

Step-by-step explanation:

V=Bh

V=base area x length

3x2x4=24

24

Answer:

Step-by-step explanation:

Simplify:

Step 1:

Step 2:

Answers:

It really depends on what you need. In terms of cents per ounce, the 14-ounce box is the cheaper option per ounce. However if you only need a little, it does not make sense to pay more just for the sake of sale. Just buy the 10 ounce box. However if you need bulk, it makes more sense to buy the 14 ounce boxes because, in the end, it will end up being cheaper.

I hope this helps and it wasnt confusing

Answer:

$1.86 for 10 oz is a better buy by a very small amount.

Step-by-step explanation:

To answer the question, we find the unit rates of both boxes.

$1.86 for 10 oz:

unit rate = $1.86 / 10 oz = $0.186/oz

$2.61 for 14 oz:

unit rate = $2.61 / 14 oz = $0.18642857142.../oz

$1.86 for 10 oz is a better buy by a very small amount.

Answer:

The slope of line p is 3, and the slope of line q is -3.

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

2.8 x 10 -5mm

Answer:

D

Step-by-step explanation:

1 is greater than -1

Hope this helps :)

Answer:

Ok. So we have 12 different styles of watches to choose from, so that means that the total number of combinations of styles for 5 boys is 12*12*12*12*12, since each boy has his pick of 12 options.

The way to answer this question is by way of the complementary rule: We want the number of ways that the boys can all have different styles. So the first boy to pick has 12 options available to him, the second boy has 11 options available to him, the 3rd boy has 10 options available to him, so on and so forth.

So the probability that the boys all have different watches is (12*11*10*9*8)/12^5= .3819.

To find the probability that at least two boys have the same style would just be 1 -.3819 = 6181

Hey there mate :)

As per question,

[tex]10x + 18 < - 2 \\ = > 10x < - 2 - 18 \\ = > 10x < - (2 + 18) \\ = > 10x < - 20 \\ = > x < - \frac{20}{10} \\ = > x < - 2[/tex]

Therefore, the option X < -2 is correct.

Answer:

what problems. I could't see