What is the volume of the right triangular prism shown?

get it right for brainlist

Answer:

x<100

Step-by-step explanation:

The given equation is :

x-19<81

Adding 19 to both sides of the equation.

x-19+19<81+19

x<100

It means the solution of the given equation is less than 100. Hence, the attached figure shows the graph for the given equation.

Answer:

¿Cuántos DVD de cada tipo debe fabricar y vender para que la utilidad sea máxima?

Se debe fabricar y vender 20 DVD del modelo A y 30 DVD del modelo B. La utilidad máxima es de de S/. 1 800

Step-by-step explanation:

x : Número de DVD del modelo A

y : Número de DVD del modelo B.

                               MODELO A MODELO B TOTAL

Cantidad de caucho                  1x 1x                 50 kg.

Horas de mano de obra           1x 2x                 80 horas

U : Utilidad mensual.

La función objetivo, que se debe maximizar, es:

U=30   + 40y

x+ y [tex]\leq 50\\[/tex]  

x + 2y [tex]\leq 80[/tex]

x[tex]\geq 0[/tex]

y[tex]\geq 0[/tex]

Las coordenadas de los vértices de la región factibles son:

A (0, 0) B (50, 0) C (20, 30) D(0, 40)

Entonces, se evalúa la función objetivo en cada punto:

U (0, 0) = 30 (0) + 40 (0) = 0

U (50, 0) = 30 (50) + 40(0) = 1500

U (90, 0) = 30 (20) + 40 (30) = 1800

U (0, 40) = 30 (0) + 40 (40) =1600

Por consiguiente U tiene un valor máximo en C , en donde: x =20 ,  y = 30 .

Se debe fabricar y vender 20 DVD del modelo A y 30 DVD del modelo B. La utilidad máxima es de de S/. 1 800.

 30 x  40 y

s.a.



   x  0 (3)

  y  0 (4)

30 with the remainder of 714

Answer:

$4

Step-by-step explanation:

x-.25x=3.      (since it’s 25% off)

.75x=3

x=3/.75

x=4

Answer:

Please refer to the attached image.

Answer:

[tex]P = 22.75[/tex]

Step-by-step explanation:

Given:

See attachment for rectangle LINT

Required

Calculate its perimeter

From the attachment:

Considering triangle LYT, we apply Pythagoras theorem.

[tex]LT^2 = LY^2 + TY^2[/tex]

Where:

[tex]LY = 5.2[/tex]

[tex]TY = 3.9[/tex]

The formula becomes:

[tex]LT^2 = 5.2^2 + 3.9^2[/tex]

[tex]LT^2 = 42.25[/tex]

Take positive square root of both sides

[tex]LT = \sqrt{42.25[/tex]

[tex]LT = 6.5[/tex]

Next, we calculate the length of NT.

By comparing triangles LYT and NYT

We make use of the following equivalent ratios to solve for NT

[tex]NT:TY = LT:LY[/tex]

[tex]NT : 3.9 = 6.5 : 5.2[/tex]

Convert to fractions

[tex]\frac{NT}{3.9} = \frac{6.5}{5.2}[/tex]

Make NT, the subject:

[tex]NT = \frac{6.5}{5.2}*3.9[/tex]

[tex]NT = \frac{6.5*3.9}{5.2}[/tex]

[tex]NT = \frac{25.35}{5.2}[/tex]

[tex]NT = 4.875[/tex]

The perimeter (P) is then calculated as:

[tex]P = NT + LT + LI + NI[/tex]

Where

[tex]NT = LI[/tex] and [tex]LT = NI[/tex] -- opposite sides of rectangle.

So:

[tex]P = NT + NT + LT + LT[/tex]

[tex]P = 2NT + 2LT[/tex]

Substitute values for NT and LT

[tex]P = 2*4.875 + 2*6.5[/tex]

[tex]P = 9.75 + 13.0[/tex]

[tex]P = 22.75[/tex]

Hence, the perimeter is 22.75 units

Answer:

Step-by-step explanation:

Plug the first equation into the second

[tex]4x+3(-2x-5)=15\\4x-6x-15=15\\-2x=30\\x=-15[/tex]

y=-2(-15)-5

=30-5

=25

Answer:

24.56  (parallelogram)

Step-by-step explanation:

4 sides of ABCD: AB, BC, AD, DC

perimeter = AB + BC + AD + DC

distance of two points: √(x-x')²+(y-y')²

AB = √3²+4² = √25 = 5

BC = √7²+2² = √53 = 7.28

AD = √7²+2² = √53 = 7.28

DC = √3²+4² = √25 = 5

P = 5*2 + 7.28*2 = 24.56

The perimeter of the quadrilateral = 24.56 units.

A closed polygon with four sides, four vertices, and four angles is known as a quadrilateral. By joining four non-collinear points, it is formed. The amount of inside points of quadrilaterals is consistently equivalent to 360 degrees.

Given coordinates of quadrilateral ABCD, A(0, 3), B(3,-1).

C(-4, -3) and D(-7, 1)

for coordinate plane the length of a side is given by

d = √((x₂ - x₁)² + (y₂- y₁)²)

where d is the length of a side of a quadrilateral

AB = √((3 - 0)² + (-1-3)²)

AB = 5

BC = √((-4 -3)² + (-3 +1)²)

BC = √53 = 7.28

CD = √((-7 + 4)² + (1 + 3)²)

CD =5

DA = √((0+ 7)² + (3 - 1)²)

DA = √53 = 7.28

Perimeter of quadrilateral is given by sum of all the sides

= AB + BC + CD +DA = 5 + 7.28 + 5 +7.28

perimeter = 24.56 units

Hence perimeter = 24.56 units

Learn more about quadrilaterals;

https://brainly.com/question/12131358

#SPJ2

Answer:

No solution.

Step-by-step explanation:

5(3x-2)=10x-2+5x

15x-10=10x+5x-2

15x-10=15x-2

15x-15x-10=-2

0-10=-2

-10=-2

no solution

Answer: m - 5

Step-by-step explanation:

Ben has m dollars.

Sally has $5 less than the amount that Ben has. This means that to find the amount of money Sally has, one needs to deduct $5 from the amount that Ben has.

Again, Ben has m. Sally's money is therefore:

= m - 5

Answer:

Dotted line

Step-by-step explanation:

when using the > or < symbols you put a dotted line because the line is not included in the shaded area.

If the symbols were a < or a > you would put a solid line.

Answer:

The radius of the cone is approximately 1.4 feet

Step-by-step explanation:

The given parameters of the cone are;

The height of the cone, h = 4 ft.

The volume of the cone, V = 7.77 ft.³

The volume, 'V', of a cone is given by the following formula;

V = 1/3 × π·r²·h

Where;

V = The volume of the cone = 7.77 ft.³

r = The radius of the cone

h = The height of the cone = 4 ft.

By substituting the vales of 'h' and 'V' in the above equation, we have;

7.77 ft.³ = 1/3 × π × r² × 4 ft.

∴ r = √(3 × 7.77 ft.³/(π × 4 ft.)) = 1.36196580784 ft.

∴ The radius of the cone, r ≈ 1.4 ft. (rounding the answer to the nearest 10th)

Step-by-step explanation:

0 would be your answer

first you combine like terms and get 5a+4 on each side then you have to solve the equation.

Step-by-step explanation:

To get the circumference of a circle: 2[tex]\pi[/tex]×radius

Your circle has a given diameter of 3 feet.

To get the radius: 3 ÷ 2 = 1.5

To get circumference of this circle: 2 × [tex]\pi[/tex] × 1.5 = 9.424777961......

Answer:

Approximately 9.424 feet

Answer:

i am in 7th grade as well the answer is 9.42 rounded to the nearset of a tenth would be 9.4

Step-by-step explanation:

first find the radius by doing diameter ÷2

3÷2=1.5

1.5xπ

Answer: 50%

Step-by-step explanation: Good luck! :D

Answer:

The probability is 37.5%

Step-by-step explanation:

There are eight total outcomes, but we only need to focus on three. Ang winning a mug and Jack winning either a t-shirt or a mug, that makes three. Write that as a fraction: 3/8, and then divide. 3 divided by 8 gives us 0.375. But we need a percent so multiply that by 100, that now gives us 37.5.

So, the probability that either Ang wins and is given a mug, or Jack wins is 37.5%. If it makes you feel more confident in this, I put the same exact answer for my assessment and I got it correct.

Also, “The monks named me aOng.”

Answer:

You can solve question 9 and 10 the same way I did. Hope this helps, thank you !!

Answer:

You can solve question 9 and 10 the same way I did. Hope this helps, thank you !!

THANKS  

0

Answer: 12

Step-by-step explanation:

220-40=180

180/15=12

Answer:

11 months

Step-by-step explanation:

220 -40=180

Since you have to pay $40 to join you have to add $15 to that $40 for the monthly fee.

220-40-15=156

^ This equals one month worth of the membership.

220-40-15-15-15-15-15-15-15-15-15-15-15=0

So add up all the 15s and you have the number of months Ty ´Lil can afford.

I hope this makes sense.

Answer:

5

Step-by-step explanation:

12 - 7 = 5

x= 5

.....................................

Answer:

itanong mo kay kapatid na arlene

It is D. If you multiply D by 3.14 and it matches the C, it is the right one. So it is D

Answer:

for 12% it would be $3,000

And, for 6% it would be $2,000

Step-by-step explanation:

The computation of the amount invested at each rate is shown below:

Let us assume the amount invested at 12% be x

So, the $5,000 - x be invested at 6%

The total interest earned is $480

So the equation would be

0.12x + 0.06($5,000 - x)  = $480

0.12x + $300 - 0.06x = $480

0.06x = $80

x = $3,000

So for 12% it would be $3,000

And, for 6% it would be $2,000

Answer:

56

Step-by-step explanation:

to find the answer, divide 42 by 6/8

42 x 8/6 = 56

Answer:

Perimeter = 8w

Step-by-step explanation:

Let the width of the rectangular framework be w.

Length = 3w

We know that the perimeter of a rectangular shaped object is given by :

P = 2(l+w)

Substitute all the values in the above formula,

Perimeter = 2(3w+w)

= 2(4w)

= 8w

So, the perimeter of the art be 8w.