What angle do the minute and hour hands of a clock make at 8:00

A tree that is 5 feet tall is growing at a rate of 1 foot per year. A 6 foot tall tree is growing at a rate of 0.5 foot per year

vovangra [49]

Both trees would be the same in 2 years at 7 feet.

Hope this helps.

8 0

3 years ago

Read 2 more answers

Which system of linear inequalities is represented by the graph?

ElenaW [278]

Answer:

The solution of a linear inequality is the ordered pair that is a solution to all inequalities in the system and the graph of the linear inequality is the graph of all solutions of the system. Graph one line at the time in the same coordinate plane and shade the half-plane that satisfies the inequality

5 0

3 years ago

(Hehe...Please ignore the markings)

inysia [295]

Answer:

See below:

Step-by-step explanation:

Problem 1:

Multiply Equation 1 by 4, keep Equation 2 the same.

x+y=8, multiply each term by 4:

4*x=4x, 4*y=4y, 8*4=32

so, the equivalent system is: 4x+4y=32 and x-y=2

Solve the system of equations:

x-y=2 becomes x=y+2

plug into 4x+4y=32 to solve for y

4(y+2)+4y=32---> 4y+8+4y=32--->8y=24---> y=3

Plug into x-y=2---> x-3=2---> x=5

Problem 1 Answer:

Equivalent system: 4x+4y=32, x-y=2; solution: x=5, y=3

Problem 2:

Keep Equation 1 the same. Add 1 and 2.

To add an equation, add the left sides together, and then the rights.

so: x+y=8 + x-y=2 gives us: 2x=10

solve for x ---> 2x/2=10/2--->x=5

plug x into x+y=8--->5+y=8--->y=3

Problem 2 answer:

Equivalent system: x+y=8, 2x=10; solution:x=5, y=3

Problem 3:

Subtract Equation 2 from 1, and keep 2 the same.

To subtract an equation, subtract the left sides, then the rights. We are subtracting 1 from 2, so its 2-1.

x-y=2 - x+y=8 gives us: -2y=-6

Solve for y by dividing by -2-->-2y/-2=-6/-2---> y=3

Plug into x-y=2---> x-3=2---> x=5

Problem 3 answer:

Equivalent system: -2y=-6, x-y=2; solution: x=5, y=3

Problem 4:

Multiply the sum of Equation 1 and 2 by a factor of 3. Keep equation 2 the same.

First we add 1 and 2: (we did this earlier) ---> 2x=10 ---> now we multiply it all by 3---> 2x*(3)=10*(3)---> this gives us: 6x=30---> now divide by 6 to solve for x: 6x/6=30/6 gives us: x=5

Now, solve for y by plugging x into equation 2: x-y=2---> 5-y=2--->y=3

Problem 4 answer:

Equivalent system: 6x=30, x-y=2; solution: x=5, y=3

______

Quick Tip: One thing inherent of Equivalent systems is that they have the same set of solutions. Thus, we know the systems are equivalent when they have the same set of solutions for x and y. Moreover, you don't need to solve every time after you attempt to find an equivalent system, instead, just plug in the values found in problem 1 to each new set of equations to test if they are equivalent.

If we find x=5 and y=3 for x+y=8 and x-y=2, then all we have to do is plug them in to 6x=30 and -2y=-6 to see if they are equivalent.

6(5)=30 ---> true

-2(3)=-6 ---> true

3 0

3 years ago

un solar tiene forma de 3/4 de círculo unido con un triángulo rectángulo , En este solar va a ser utilizado para sembrar clavele

Stolb23 [73]

Answer:

$1092671.191

Step-by-step explanation:

Cálculo de Areas

El área de un círculo de radio r se obtiene con la fórmula:

$A_c=\pi r^2$

El área de un triángulo de base b y altura h, perpendicular a la base es:

$A_t=\frac{bh}{2}$

Si el triángulo es rectángulo, b y h son los catetos

El solar tiene una forma tal como se ilustra en la figura anexa. Para averiguar el costo del abono y del techo, debe calcularse primero el área total a cultivar. Primero se determina el área de 3/4 de círculo de radio 5.9 metros

$A_c=\frac{3}{4}\pi r^2$

$A_c=\frac{3}{4}\pi (5.9)^2$

$A_c=82.0191302\ m^2$

Por su parte, el triángulo mostrado, tiene ambos catetos iguales al radio de círculo, por lo que su área será

$A_t=\frac{r^2}{2}$

$A_t=\frac{(5.9)^2}{2}$

$A_t=17.405\ m^2$

El área total del solar es la suma de ambas:

$A_s=82.0191302\ m^2+17.405\ m^2$

$A_s=99.4241302\ m^2$

El metro cuadrado de abono cuesta $8016. El costo de abono es

$C_a=99.4241302\ m^2*8016=\$796983.8277$

El metro cuadrado de techo cuesta $2974. El costo del techo es

$C_t=99.4241302\ m^2*2974=\$295687.3632$

El costo total es la suma de los dos anteriores:

$Total=\$796983.8277+\$295687.3632$

$Total=\$1092671.191$

El valor total a intervenir para la adecuación del solar es $1092671.191

7 0

3 years ago

Karen surveyed students in one middle school about their favorite band. Of the 1,156 students in the middle school, 65 sixth-gra

ValentinkaMS [17]

I believe the answer is B.

Explanation: In the problem, it states that “Karen says MOST middle school students’ favorite band is Rhonda and the Gees.” Pay attention to the keyword, most. Only 65 students like Rhonda and the Gees, so it is too small to represent a middle school of 1,156. So, therefore, the answer should be B.

3 0

2 years ago