Find the value of x.
6
14
3x-12
8
8
21
x = [?]

Answer:

$80

Step-by-step explanation:

Answer:

288

Step-by-step explanation:

8 x 3 x 3 x 6 = 288

(a) the given triangle is a isosceles triangle, therefore the two leg sides will be congruent, as well as the two base angles. It is given that one of the base angles ∠XYW is 70°, therefore, due to the law of a isosceles triangle, the measurement of ∠XWY is also 70°. Remember, a triangle's interior angles add up to 180°, so:

180 - (70 + 70) = 180 - 140 = 40

40° is your answer.

m∠X = 40°

(b) All sides are congruent, making it a equilateral triangle. If it is a equilateral triangle, then all the angles also have the same measurement. The total of the interior angle's measurement is 180°. Divide by the amount of angles, 3:

180/3 = 60

60° is your answer.

m∠V = 60°

~

Answer:

Step-by-step explanation:

2 units squared.

Explanation:

You can go about this in two ways: Algebra and Integrals.

Algebra

y = 2x-6 is linear, thus if we take the value over the x interval [2,4] we can use geometry to calculate the area.

graph{2x-6 [-2.27, 7.73, -2.18, 2.82]}

You can see two triangles in the graph (you could also find this algebraically). Thus, you can calculate the area.

=

2

⋅

(

1

2

⋅

b

⋅

h

)

=

2

⋅

(

1

2

⋅

1

⋅

2

)

=

2

square units

Integrals

An integral gives the area under the curve. Remember though that if a function goes below the X axis, the integral is negative Thus you have to do two separate integrals based on the X intercept.

finding the X intercept (that is where y = 0)

2

x

−

6

=

0

x

=

3

when

y

=

0

When

x

<

3

, then y is negative. Thus, we have to find the negative integral from 2 to 3 and the positive integral from 3 to 4

=

−

∫

3

2

2

x

−

6

d

x

+

∫

4

3

2

x

−

6

d

x

=

−

[

x

2

−

6

x

]

3

2

+

[

x

2

−

6

x

]

4

3

=

−

[

9

−

18

−

4

+

12

]

+

[

16

−

24

−

9

+

18

]

=

−

[

−

1

]

+

[

1

]

=

2

units squared. And Tada, that is the same as the other answer!

Using integrals, it is found that the area of the function is of 6 squared units.

The area of a function f(x) over an interval [a,b] is given by:

[tex]A = \int_{a}^{b} f(x) dx[/tex]

In this problem:

[tex]A = \int_{-4}^{2} 2x + 3 dx[/tex]

[tex]A = x^2 + 3x|_{x = -4}^{x = 2}[/tex]

[tex]A = 2^2 + 3(2) - [(-4)^2 + 3(-4)][/tex]

[tex]A = 4 + 6 - 4[/tex]

[tex]A = 6[/tex]

The area is of 6 squared units.

A similar problem is given at https://brainly.com/question/20733870

Answer:

2x +9+8x+1=180

This on picture answer.

Answer:

28

Step-by-step explanation:

2-(-5)=7--one side

square (all sides are the same)

4 sides in total

7x4=28

Answer:

The volume of the bookcase is 16 cubic feet.

Step-by-step explanation:

Hey there!

We are given three values (in feet) and asked to find the volume of a bookcase:

We want to find the volume. In order to do this, we need to define:

Therefore, the formula for volume is: [tex]v = l \times w \times h[/tex]

Finally, we need to assign each number value to either the length, the width, or the height.

Wide is a synonym for width, so our width is 2 feet.

Deep is another way of saying the space inside of the bookshelf, which would be the length (1 foot).

High would refer to how tall something is, so the height is 8 feet.

Now, let's plug in our values and solve for [tex]v[/tex].

It's important to note that since we are finding volume, our measurement of feet becomes cubic feet.

Therefore, the volume of the bookcase is 16 cubic feet.

Step-by-step explanation:

-1,355= -1355/1000

-1,352= -1352/1000

Answer: 9/6 and 6/4 are equivalent

Step-by-step explanation:

If you simply 9/6, you get 1 3/6

Simplify 6/4, you get 1 2/4

3/6 and 2/4 both equal 1/2, so 9/6 and 6/4 both equal 1 1/2. Therefore, they are equivalent.

Hope this helped ;D

Answer:

since the lengths are consecutive odd numbers and the perimeter of the triangle is 51cms. Let x be the unknown length.

so 3x=51 ; x=17 . now the sides can be 15cms, 17cms, 19cms.

check Add them up it is 51cms  which is the perimeter and the consecutive odd numbers

Answer:

In economics, a portfolio is a term for a specific set of stocks, bonds, shares, and other securities owned by an investor. In general, the investor seeks to compile and diversify a portfolio of securities that offers maximum profitability and at the same time is diverse, in order to minimize possible risks. In general, these types of portfolios are considered efficient, as they do not leave the investment risk tied to a single factor. However, these two goals often go against each other, so the composition of the portfolio means a certain compromise.

Answer:

7/10

Step-by-step explanation:

We need to divide the 7 liters by the 10 liters that each can holds.

Answer:

B

Step-by-step explanation:

Anything to the 0 power is 1

Answer:

11

Step-by-step explanation:

1/3 nr^2h = volume of a cone

1/3 x 22/7 x 14 x r^2 = 440

r^2 = 440 x 3 x 7/22 x 1/14

r^2 = 30

r = 30

r = 5

The base diameter to the nearest whole number is 11cm

The formula for calculating the volume of a cone is expressed as:

V =1/3πr²h

Given the folllowing parameters

V = 440cm^3

h = 14cm

Substitute the given parameters

440 = 1/3(22/7) * 14r²

440 = 44/3 * r²

10 = r²/3

r² = 30

r = 5.5cm

d = 11cm

Hence the base diameter to the nearest whole number is 11cm

LEarn more on volume of cone here; https://brainly.com/question/1082469

Answer:

she solved it incorrectly

Step-by-step explanation:

8x=64

8x÷8=64÷8

x=8

Answer:

no she did not

8x=64

÷8 ÷8

x=8

Step-by-step explanation:

simple

Answer:

D. 69°

Step-by-step explanation:

I think you divide 222° by 2, which equals 111, then subtract that from 180°, which equals 69°.

Answer:

41 ft wide and 61.5 ft long

Step-by-step explanation:

Answer:

i think there is no solution

Answer:

this is a simultanious equation and u need one more equation to do it

Step-by-step explanation:

there are many answers if u dont have the second equation.

You can just substitute a number in x then find y

eg.

x= 12/7 , y =0.5

Answer:

1. 7 x - 4 y = 10. 7x−4y=10. Add 4y to both sides. Add 4y to both sides.

2. 7x=10+4y. 7x=10+4y. The equation is in standard form. The equation is in standard form.

3. 7x=4y+10. 7x=4y+10. Divide both sides by 7. Divide both sides by 7.

4. \frac{7x}{7}=\frac{4y+10}{7} 77x​=74y+10​ Dividing by 7 undoes the multiplication by 7.

Answer:

300'

Step-by-step explanation:

Answer:

1/8 mile

Step-by-step explanation:

Because if you do the math the avarge car is 4.7 feet multiply that by 20 and there is your answer

Answer:

t= - 15

Step-by-step explanation:

(-3/5)t = 15

Multiply both sides by 5:

-3t=75

Divid both sides by -3:

t=-15

Y=40,000(1.016)^x

Explanation:

years= x

Predicted population= y

Initial population= 40000

you can find the population y after x years with the help of this function

For example:

If we want to know the population after 5 years, put x=5 and find y

Y after 5 years= 40000(1.016)^5

                      =43304

Answer: V≈900 ft³

Step-by-step explanation:

Formula

V=πr²h

Given

r=5 ft

h=12 ft

Solve

V=πr²h

V=π(5)²(12)

V=π(25)(12)

V=300π

V≈300(3)

V≈900 ft³

Hope this helps!! :)

Please let me know if you have any questions

Answer:

c

Step-by-step explanation: