Are all equilateral triangles isosceles as well?

Answer:

78

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

(x^2+2)*(1-3x)=-3x^3+x^2-6x+2

now plug in -1

-3(-1)^3+(-1)^2-6(-1)+2=12

hope this helped  

Answer:

answer is 3.144

Step-by-step explanation:

Answer:

11.3, rounded

Step-by-step explanation:

mean = average. Add them all up, then divide by how many entries/data points you have.

12 + 18 + 9 + 14 + 8 + 7 = 68

There are 6 numbers we added, so 68/6 = 11.3333333

Please let me know if you have questions.

Answer:

70.5

Step-by-step explanation:

cos x = [tex]\frac{4}{12}[/tex]

x = [tex]cos^{-1}\frac{1}{3}[/tex]

x = 70.53

Answer:

C

Step-by-step explanation:

volume of a cone = πr²[tex]\frac{h}{3}[/tex]

so 20² x π x [tex]\frac{35}{3}[/tex] = 14660.76572

Answer: 8

Step-by-step explanation:

From the question, we are informed that a 2-mile walking trail has a distance marker every 1\4 mile. Hl

The number of markers that are along the trail will be calculated as:

= Length of walking trail / interval of distance marker

= 2 ÷ 1/4

= 2 × 4

= 8

There are 8 markers along the trail.

Answer:

[tex] \rm \displaystyle \int x ^{2} \cdot {e}^{x} \: dx = {x}^{2} {e}^{x}- 2x {e}^{x} + 2 e^{x} + \rm C[/tex]

Step-by-step explanation:

we want to integrate the following integration:

[tex] \displaystyle \int {x}^{2} \cdot {e}^{x} dx[/tex]

notice that, the integrand is in the multiplication of two different function in that case we can consider integration by parts given by:

[tex] \rm \displaystyle \int u \cdot v \: dx = u \int vdx - \int u' \left( \int v dx \right)dx[/tex]

where u' can be defined by the differentiation of u

now we have to choose our u and v

which can be chosen by using the guideline:ILATE Inverse trig. , Logarithm, Algebraic expression, Trigonometry, Exponent.

since x comes first thus,

[tex] \displaystyle u = {x}^{2} \quad\text{and} \quad v = {e}^{x} [/tex]

by figuring out the defferentiation of u,we acquire:

[tex] \displaystyle u' = 2x[/tex]

altogether we get:

[tex] \rm \displaystyle \int {x}^{2} \cdot {e}^{x} \: dx = {x}^{2} \int {e}^{x} dx - \int 2x \left( \int {e}^{x} dx \right)dx[/tex]

by figuring out the parentheses integration

we get:

[tex] \rm \displaystyle \int x^2 \cdot {e}^{x} \: dx = {x}^{2} \int {e}^{x} dx - \int2x \cdot {e}^{x} dx[/tex]

now we again have integration of two different functions so let's choose our u and v once again which can be done using the guideline

[tex] \displaystyle u = 2x \quad\text{and} \quad v = {e}^{x} [/tex]

by figuring out the defferentiation of u

we acquire:

[tex] \displaystyle \: u' = 2[/tex]

altogether we get:

[tex] \rm \displaystyle \int x ^{2} \cdot {e}^{x} \: dx = {x}^{2} \int {e}^{x} dx - \left( 2x \int{e}^{x} dx- \int2 \left( \int{e}^{x}dx \right) dx \right)[/tex]

by solving parentheses we get

[tex] \rm \displaystyle \int x ^{2} \cdot {e}^{x} \: dx = {x}^{2} \int {e}^{x} dx - \left( 2x {e}^{x} - 2 e^{x} dx \right)[/tex]

by figuring out the integral we get:

[tex] \rm \displaystyle \int x ^{2} \cdot {e}^{x} \: dx = {x}^{2} {e}^{x}- \left( 2x {e}^{x} - 2 e^{x} \right)[/tex]

remove parentheses:

[tex] \rm \displaystyle \int x ^{2} \cdot {e}^{x} \: dx = {x}^{2} {e}^{x}- 2x {e}^{x} + 2 e^{x} [/tex]

at last we of course have to add constant of integration:

[tex] \rm \displaystyle \int x ^{2} \cdot {e}^{x} \: dx = {x}^{2} {e}^{x}- 2x {e}^{x} + 2 e^{x} + \rm C[/tex]

and we are done!

Answer:

[tex]\displaystyle \int {x^2e^x} \, dx = e^x(x^2 - 2x + 2) + C[/tex]

General Formulas and Concepts:

Calculus

Differentiation

Derivative Property [Multiplied Constant]:                                                           [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]

Basic Power Rule:

Integration

Integration by Parts:                                                                                               [tex]\displaystyle \int {u} \, dv = uv - \int {v} \, du[/tex]

Step-by-step explanation:

*Note:

The answer below me is correct, but there is a simpler method of obtaining the answer.

Step 1: Define

Identify

[tex]\displaystyle \int {x^2e^x} \, dx[/tex]

Step 2: Integrate

Use tabular integration.

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration

Book: College Calculus 10e

75cm²

Explanation:

10 times 15 is 150 and since it is a triangle you divide in half so the answer is 75. And in this case the 18 is not needed.

Answer:

75cm²

Step-by-step explanation:

The area A of a triangle is given by the formula A=12bh where b is the base and h is the height of the triangle. But in this case, there are three sides.

To find the area of a triangle with 3 sides given as 10, 15, and 18, we assume that a = 10, b = 15, and c = 18.

Then the semi-perimeter is, s = (a + b + c)/2 = (10 + 15 + 18)/2 = 21.5. We will find the area of the triangle using Heron's formula.

A = √[s(s-a)(s-b)(s-c)]

= √[8(21. 5-10)(21.5 -15)(21. 5-18)]

= √[21.5 × 11.5 × 6.5 × 3.5]

= √(5625)

≈ 7.5

Answer:

more tiles than i laid in ur momms

Step-by-step explanation:

Figure 13 has 11 tiles

Answer:

The perimeter is 206.

Step-by-step explanation:

When given the area, height and side of the parallelogram, you would use the formula to find the perimeter: P=2a+2*A /h. a = side of the parallelogram, A = area, and h = height. When you plug in everything, you will get 206.

Answer:

The cost of one ticket is $14.75

Step-by-step explanation:

To find the cost of one ticket we need to divide 280.25 by 19

=$14.75

plz mark me as brainliest

Answer:

The cost of one ticket is $14.75

Step-by-step explanation:

The cost of one ticket is $14.75

To find the cost of one ticket we need to divide 280.25 by 19

=$14.75

please mark as brainliest

Answer:

36 degrees

Step-by-step explanation:

I’m pretty sure that’s it

Answer:

7,000 - 2,386 = 4,614

Answer:

≈ 84.8 cm²

Step-by-step explanation:

The area of the shaded region is calculated as

area of circle - area of unshaded sector

area of circle = πr² = π × 6² = 36π

unshaded area = area of circle × fraction of circle

                          = 36π × [tex]\frac{90}{360}[/tex] = 36π × [tex]\frac{1}{4}[/tex] = 9π

area of shaded region = 36π - 9π = 27π ≈ 84.8 cm² ( nearest tenth )

Answer:

X would equal 4

Step-by-step explanation:

5 x 4 is 20. And the equation was 5x + 1 = 21.

So, the answer would equal 20. Hope this helped!! :D

Answer:

x=4

Step-by-step explanation:

Start with your equation: 5x+1=21

Subtract 1 on both sides: 5x=20

Divide by 5 on both sides: x=4

Hope I helped

Answer:

well you multiple 20 by 6 to get 120, so that means multiple everything by 6

SO, 6 cups of flour, 3 cups of sugar, and 4 1/2 cups of milk

Answer:

24 + 50 = 74 cm³

Step-by-step explanation:

I split the irregular figure into two separate shapes and found the volume of each and then added the values, I am most certain the answer would be 74 cm³, I apologize if it isn't.

Answer:

4209/10000

Step-by-step explanation:

42.09%=4209/10000

Answer:

After 1.2 seconds

Answer:

5,9

Step-by-step explanation:

Answer:

x = -1, -7

Step-by-step explanation:

=> x² + 8x + 7 = 0

=> (x + 1) (x + 7) = 0

=> x = -1, -7

Total Number of words made out of English = 93

Answer:

The answer would be X= -7 .

Step-by-step explanation:

Hope it helps :)

Answer:

4π in.

Step-by-step explanation:

formula circumference= 2πr

r = half of diameter

Answer:

2.83

Step-by-step explanation:

d= Square root of (x2 - x1 )^2 +( y2- y1)^2

from the point given you

x1= -6

y1 = -17

x2 = -8

y2 = -19

by applying the formula

Square root of ( -8 - (-6))^2 + ( -19 - (-17))^2

Square root of (-8+6) + (-19+17)^2