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You are building a triangular corner shelf for a customer. The shelf has an area of 6 square feet. The height of the shelf is 3 feet. What formula can be used to calculate the length of the base of the shelf?

base = height ÷ area
base = (2 × height) ÷ area
base = area ÷ height
base = (2 × area) ÷ height

Explanation:

5.

The initial cost is $65.42

25% of 65.42 is 16.355

Add 16.355 + 65.42 and the total cost is: $81.78

6.

The initial cost is $12.50

3.2% of 12.50 is 0.4

Add 0.4 + 12.50 and the total cost is: $12.90

Area = length x width

60 = (x+5) (x-2)

60 = x^2 + 3x -10

Subtract 60 from both sides:

x^2 +3x -70 = 0

Solve for x by finding 2 numbers when added together = 3 and when multiplied by each other = -70

x = -10 and 7

Since the sides have to be a positive number we need to use 7

The length = x+5 = 7+5 = 12 cm

The width = x-2 = 7-2 = 5 cm

Answer:

42 yd

Step-by-step explanation:

Formula for the area of a rhombus is the length times the width, all divided by 2. A is given as 26, and the total is 546, so the equation is set up like this:

[tex]\frac{26d}{2} =546[/tex]

(Solving for d)

First, multiply both sides by 2 to get:

26d = 1,092

Then, divide both sides by 26 to isolate the variable d:

d = 42

Answer:

t = 28

Step-by-step explanation:

56 = 2t

t = 56 / 2

t = 28

Hope that helps!

Answer: t= 28

Step-by-step explanation:

Isolate t by dividing both sides by 2.

Answer:

11/4

Step-by-step explanation:

3/2 can be re-written as 6/4. they now have the same denominator. 6/4 + 5/4 = 11/4

Answer:

213

Step-by-step explanation:

Answer:

213

Step-by-step explanation:

Answer:

5xy^2z

Step-by-step explanation:

(-15/-3) x (x^6/x^5) x (y^5/y^3) x z = 5xy^2z

Answer:

[tex]5xy^2z[/tex]

Step-by-step explanation:

Answer:

The answer is (3,-2)

Step-by-step explanation:

[tex] \frac{1}{3} x - 3 = - 2x + 4 \\ \frac{1}{3} x + 2x = 7 \\ \frac{7}{3} x = 7 \\ x = 3 \\ then \: \\ y = - 2[/tex]

Answer:

Step-by-step explanation:

Answer: it's 3 to 1

Step-by-step explanation: 3 red to 1 blue just trust in the process ill explain in the comments so you get this answer fast

Answer:

x=1.18

x=0.425

Step-by-step explanation:

none needed <3

Answer:

120

Step-by-step explanation:

1/3x-8=32

1/3x=32+8

1/3x=40

x=40/(1/3)

x=(40/1)(3/1)

x=120/1

x=120

Answer:

d = 19.8 cm

Step-by-step explanation:

Use the law of cosines

[tex]d^{2} = e^{2} + f^{2} -2ef cos D\\d^{2} = 10^{2} + 14^{2} -2(10)(14) cos 110\\[/tex]

    = 100 + 196 - 280 cos 110

    = 296 - (-95.765640)

    = 391.765640

[tex]d = \sqrt{391.7656401}[/tex]

  d = 19.8 cm

Answer:

n=5

Step-by-step explanation:

subtract 9 from both sides to get n by itself

Answer:

n=5

Step-by-step explanation:

move the constant to the right which is the 14 n=14-9

then you subtract 14 with 9

n=5

Answer:

OS is congruent to SQ

Step-by-step explanation:

Answer:

P = 55[tex]\sqrt{10}[/tex] or 174 feet

Step-by-step explanation:

Answer:

The answer is 17.53 percent.

Step-by-step explanation:

Good luck!

Answer:

Part I:

1. binomial

2. trinomial

3. monomial

4. monomial

Part ll :

5. 8xy2 + 6xy + 5y + 12

6. 9x4 + 3x7 - 4x2 + 34x

Part lll:

7. (p3+5p2+9p-6)+(5p3-8p+1)

= p3 + 5p2 + 9p - 6 + 5p3 - 8p + 1

= 6p3 + 5p2 + p - 5 ( add all the like terms i. e. those terms having the same power)

8. (2p4+3p+9) +(4p4+3p3+p)

= 2p4 + 3p + 9 + 4p4 + 3p3 + p

= 6p4 + 3p3 + 4p + 9 ( adding all the like terms i. e. those terms having same power )

Hope this helped you

Hope this helped you ALL THE BEST !!

Answer:

Number 4 is: A,E,F

Step-by-step explanation:

Answer:

each van carries 7 students

each bus carries 60 students

Step-by-step explanation:

let v = # students in a van

let b = # students in a bus

system of equations:

13v + 2b = 211

4v + 4b = 268

I multiplied the 1st equation by -2 to eliminate the 'b' terms

 -26v - 4b = -422

+ 4v  + 4b = 268

-22v = -154

v = 7

substitute  '7' for 'v':

4(7) + 4b = 268

28 + 4b = 268

4b = 240

b = 60

Answer:

13v + 2b = 211

4v + 4b = 268

#students each VAN can carry:   7

#students each BUS can carry: 60

Step-by-step explanation:

Let v = number of students in each van.

Let b = number of students in each bus.

High School A:

13v + 2b = 211

High School B:

4v + 4b = 268

The system of equations is

13v + 2b = 211

4v + 4b = 268

We will solve this system of equation with the addition method.

Write the first equation as it is. Divide both sides of the first equation by 2 and write it below the first equation. Then add the equations.

        13v + 2b = 211

(+)     -2v - 2b = -134

----------------------------

        11v         = 77

Divide both sides by 11.

v = 7

Substitute 7 for v in the first original equation and solve for b.

13v + 2b = 211

13(7) + 2b = 211

91 + 2b = 211

Subtract 91 from both sides.

2b = 120

Divide both sides by 2.

b = 60

Answer:

13v + 2b = 211

4v + 4b = 268

#students each VAN can carry:   7

#students each BUS can carry: 60

Answer:

10

Step-by-step explanation:

(4 * 5) / 2 = 20 / 2 = 10

Answer:

Triangle R and triangle S are congruent triangles, so finding the area of triangle S would give us the area  of triangle R.

The area of  a triangle can be calculated as 1/2(bh), where b is the base and h is the height.

In this case, we have: 1/2(5)(4). This simplifies to 10.

So, the area of triangle R is 10 square meters.

Let me know if this helps!

Answer:

slope: 7

y-intercept: 1/2

Step-by-step explanation:

Put it into the form y = mx + b where m is the slope and b will be the y-intercept. (For example, in the equation y = 3x + 2 the slope is 3 and the y-intercept is 2).

[tex]0=1-2y+14x\\2y=1+14x\\2y = 14x+ 1\\y = 7x + 1/2[/tex]

So you know that m = 7, so the slope is 7

and

b = 1/2, so the y-intercept is 1/2.

Answer:

Answer:

Step-by-step explanation:

Hello!

Have a great day!

Answer:

one ton :)

Step-by-step explanation:

Answer:

ton?

Step-by-step explanation:

i think lol 　　°　　　•　　.°•　　　 ✯

　　　★　*　　　　　°　　　　 　°·　　                          

.　　　•　° ★　•  ☄

▁▂▃▄▅▆▇▇▆▅▄▃▁▂

Answer:

-4x-3*-8=20

i belive x=20

Step-by-step explanation:

im sorry im not sure

ok The answer is (3,-8) in point form x=3, y=-8 in equation form.

Answer: 25 because 25 divided by 1 is 25 and then add 102 times 0 that’s 0 so 0+25 is 25

Step-by-step explanation: