What is the volume of this figure?

Answer:

The height of the parallelogram is 12 cm.

Step-by-step explanation:

We are given that a triangle and a parallelogram have the same base and same area.

The sides of the triangle measure 26 cm, 28 cm, and 30 cm.

We are given that the base of the parallelogram is 28 cm, and we want to determine its height.

Find the area of the triangle. Since we are given the three sides, we can consider using Heron's Formula:

[tex]\displaystyle A = \sqrt{s(s-a)(s-b)(s-c)}[/tex]

Where a, b, and c are the sides and s is half of the perimeter.

The perimeter is:

[tex]P = (26) + (28) + (30) = 84[/tex]

Hence, s = 42.

Then the area of the triangle is:

[tex]\displaystyle \begin{aligned} A&= \sqrt{42(42-26)(42-28)(42-30)} \\ &= \sqrt{112896} \\ &= 336\text{ cm}^2 \end{aligned}[/tex]

The area of a parallelogram is given by:

[tex]\displaystyle A = bh[/tex]

We are given that the base is 28 cm:

[tex]\displaystyle A = 28 h[/tex]

Its area is equivalent to the area of the given triangle. Hence:

[tex]\displaystyle 336 = 28h[/tex]

Divide:

[tex]\displaystyle h = \frac{336}{28} = 12\text{ cm}[/tex]

In conclusion, the height of the parallelogram is 12 cm.

Answer:

6:150

Step-by-step explanation:

If you like my answer mark me brainliest

Answer:

1:25

Step-by-step explanation:

1.5m=150cm

6:150

1:25

Answer:

C

Step-by-step explanation:

Answer:

See image

Isosceles triangles have 2 congruent base angles

Answer:

slope= -1  1/6

Step-by-step explanation:

x1 y1  x2 y2

-2 5  4 -2

(Y2-Y1) (-2)-(5)=   -7  ΔY -7

(X2-X1) (4)-(-2)=    6  ΔX 6

slope= -1  1/6    

B= 2  2/3    

Answer:

B. 2 3/5

Step-by-step explanation:

how i would solve this expression is start out by converting "4 1/3" into an improper fraction.

4 1/3 is equivalent to 13/3

next to find out how much water melissa used we have to multiply 3/5 by our improper fraction giving us this expression:

13/3 x 3/5

solving a fraction is simple, multiply the numerator by numerator,

and denominator by denominator.

so, we will end up with

39/15 or simplified to 2 3/5

hope this helps :D

Answer:

first we have to solve for x in order to find the value of y

2x+8=5x+14

5x-2x=14-8

3x=6

x=2

placing the x value in these two equation to find the value of y

y=2(2)+8

y=12

y=5(2)+14

y=24

now those are the two values of y

hope it's helpful

thank you !

Answer:

Area equals to 3615.7

Step-by-step explanation:

So first in order to get the area of the triangle you need to have it’s height and base. We know the base is 150m(you can choose another base too), and we need to get the height.

In order to get the height we can see the triangle as two right triangle spreaded by the height. Now looking at the right triangle at the left hand, realized this triangle has a 40, a 90 degree angle and a side of 75.

Next using the law of sines, and plot the numbers in:

a = b(sinα/sinβ)=75(sin(40°)/sin(90°))≈48.20907

Now calculat the area;

Area = 1/2 bh = 1/2 (150x48.20907) ≈ 3615.6765

I attached a graph below that may help to see will all the things go

Answer:

45

Step-by-step explanation:

so there is 90 degress and you want to find 6x (5x + x) so just subtract 360-90 = 270 then divide by 6 = 45

Answer:

4f^2 +4

Step-by-step explanation:

4 + 4f^2 + 6f - 6f

Combine like terms

4f^2 +4

Answer:

V = 40 in^3

Step-by-step explanation:

The volume of a cone is given by

V = 1/3 pi r^2 h  where r is the radius and h is the height

The diameter is 4 so the radius is 1/2 the diameter or 1/2(4) =2

The height is 10 and we are using 3 for pi

V = 1/3 (3)(2)^2 (10)

V = 40 in^3

Answer:

B

Step-by-step explanation:

The correct equation will be 4N-3N

Answer: 122 square feet

Explanation:

The larger rectangle has area of 14*15 = 210 square feet.

The smaller rectangle has a horizontal dimension of 15-4 = 11 ft and its vertical dimension is 14-6 = 8 ft. Therefore, the area is 11*8 = 88 square feet.

The non-shaded region has area that is the difference of the two previous areas calculated earlier. So that would be 210-88 = 122 square feet

Answer:

96 in^2

Step-by-step explanation:

area of rectangle: 24*8=192

Area of triangle: (1/2)*base*height

= .5 * 8 * 24

=192/2

=96

area of shaded=rectangle - triangle

= 192-96

which is also just 192/2

so it is 96

Answer:

Below

Step-by-step explanation:

Volume = area of the circular side * length

Radius of circle = 10

V  = pi r^2 l = pi *10^2 * 6

= 100 pi

= 1884 in^2

Answer:

angleCFE=21 because inscribed angle is half the central angle standing on same same arc.

Answer:

The two solutions are

(0,-4) and (-1,-6)

Step-by-step explanation:

The ys have to be equal so you can equate the right hand side.

x^2 + 3x - 4 = 2x - 4         Add 4 to both sides

x^2 + 3x = 2x                    Subtract 2x from both sides

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

x^2 + x = 0                       Factor

x(x + 1) =0

Just to show you that these two points really are the solutions, you can see the graph below

x has 2 values

x + 1 = 0

x = - 1

or

x = 0

Now solve for y

y = 2x - 4

Let x = 0

y = - 4

Let x = - 1

y = 2x - 4

y = -2 - 4

y = - 6

The blue is y = x^2 + 3x - 4

The green line is y = 2x - 4

Well, a y-intercept is a the point on a graph where the x value equals 0, because the point sits exactly on the y-axis. In this case, the y-intercept would be (0, -9).

Answer:

(0,-9)

Step-by-step explanation:

The y intercept is where the graph crosses the y axis ( where x =0)

The y intercept is

-9

(0,-9)

Answer:

AED 972

Step-by-step explanation:

Area of the wall = 9² = 81 m²

each m² costs AED 12

so 81 m² will cost 12×81 = AED 972

Answer: Square roots are the numbers that, when multiplied by themselves, equal the number under the square root sign. For instance, sqrt(9) equals 3, since 3*3 equals 9. You should memorize the values of square roots, at least up through 100. Once you do that, you will easily be able to determine which perfect square, and subsequently, which square root, is between two integers.

Answer:

The other answer is correct.  

Step-by-step explanation:

Answer:  (4y-9z)( 16y^2 + 36yz + 81z^2 )

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

Explanation:

We'll use the difference of cubes factoring rule

a^3 - b^3 = (a-b)(a^2+ab+b^2)

In this case,

So,

a^3 - b^3 = (a-b)(a^2+ab+b^2)

64y^3 - 729z^3 = (4y-9z)( (4y)^2 + (4y)(9z) + (9z)^2 )

64y^3 - 729z^3 = (4y-9z)( 16y^2 + 36yz + 81z^2 )

Answer:

13km

Step-by-step explanation:

Distance, x = √(12² + 5²)

= 13

Answer:

r=-11

Step-by-step explanation:

7r+2=5(r-4)

7r+2=5r-20

2r=-22

r=-11

Option A

Must click thanks and mark brainliest

Sorry if i am wrong

It's very blurry can u retake it?

Answer:

f^(-1) (x) = -(x+4)/7

Step-by-step explanation:

f(x) = - 7x-4

f(x)+4=-7x

x=-(f(x)+4)/7

f^(-1) (x) = -(x+4)/7

Answer:

5/7

Step-by-step explanation:

5x-7y=14

-7y=14-5x

y=-2+5/7x

y=5/7x-2

This slope is 5/7. This is because in the standard form of a line (y=mx + b), m represents the slope. In the equation above, 5/7 is the slope.

Answer:20-33x

Step-by-step explanation:

Answer:

Step-by-step explanation: