The square pyramid shown below has a slant height of 171717 units and a vertical height of 151515 units.

What is the length of one side of the pyramid's base?

Answer:

1. 6cm , 8cm , 10cm

2. 3cm , 4cm , 5cm

Step-by-step explanation:

Answer:

Student 2 and Student 3

Step-by-step explanation:

Student 2

-(5r - 3s + 1)

= - 5r +3s - 1

Student 3

= - 5r +3s - 1

Answer5.5:

Step-by-step explanation:

Divided 16.50 by 3

Answer:

5.50

Step-by-step explanation:

16.50 divided by 3 5.50

Answer: 7

Step-by-step explanation:

Total=LN

Piece= LM

Total-piece

LN-LM=MN

20-13=7

MN=7

Answer:

its 7

if you subtract LM and LN you get 7

Answer:

4x-8

Step-by-step explanation:

7x-3-5-3x

combine like terms

7x-3x-3-5

4x-8

unless there is a value for x then that is all i can do

hope this helps:)

Answer: 10x - 8

Step-by-step explanation:

(7x - 3) -(5-3x)​

= (7x - 3) - 5 + 3x      Made them without ​parentheses. For -(5-3x), because there are - in front them, which means to multiply -1, so it become -5+3x.

= 7x - 3 - 5 + 3x

= 7x + 3x - 3 - 5

= 10x - 8

Answer:

umef leaf ninja the frog held a

Answer:

2200 i took the test got a 100

Step-by-step explanation:

Answer:

The answer is actually 2220!

Step-by-step explanation:

Given:

The equations of circle are

4. [tex]\left(x+\dfrac{2}{3}\right)^2+(y+1)^2=24[/tex]

5. [tex](x-1)^2+(y+2)^2=28[/tex]

6 .[tex](x+12)^2+y^2=\dfrac{3}{64}[/tex]

To find:

The center and radius for the given circles.

Solution:

The standard form of a circle is:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Where, [tex](h,k)[/tex] is center and [tex]r[/tex] is the radius of the circle.

4.

The equation of the circle is

[tex]\left(x+\dfrac{2}{3}\right)^2+(y+1)^2=24[/tex]

The standard form of this circle is

[tex]\left(x-(-\dfrac{2}{3})\right)^2+(y-(-1))^2=(\sqrt{24})^2[/tex]

[tex]\left(x-(-\dfrac{2}{3})\right)^2+(y-(-1))^2=(2\sqrt{6})^2[/tex]

Therefore, the center of the circle is [tex]\left(-\dfrac{2}{3},-1\right)[/tex] and the radius of the circle is [tex]2\sqrt{6}[/tex].

5.

The equation of the circle is

[tex](x-1)^2+(y+2)^2=28[/tex]

The standard form of this circle is

[tex](x-1)^2+(y-(-2))^2=(\sqrt{28})^2[/tex]

[tex](x-1)^2+(y-(-2))^2=(2\sqrt{7})^2[/tex]

Therefore, the center of the circle is [tex]\left(1,-2\right)[/tex] and the radius of the circle is [tex]2\sqrt{7}[/tex].

6.

The equation of the circle is

[tex](x+12)^2+y^2=\dfrac{3}{64}[/tex]

The standard form of this circle is

[tex](x-(-12))^2+(y-0)^2=(\sqrt{\dfrac{3}{64}})^2[/tex]

[tex](x-(-12))^2+(y-0)^2=\dfrac{\sqrt{3}}{8}[/tex]

Therefore, the center of the circle is [tex]\left(-12,0\right)[/tex] and the radius of the circle is [tex]\dfrac{\sqrt{3}}{8}[/tex].

9514 1404 393

Answer:

  x = -6 (correct answer)

  mistakes were made in Step 2 and Step 5.

Step-by-step explanation:

The mistake is made in Step 2, application of the distributive property. This is often a source of error. Here, the error is in signs.

Step 1: 12 = -2(x -4) -8

Step 2: 12 = -2x +8 -8 . . . . . . the correct step 2

Step 3: 12 = -2x . . . . . . . . . . . like terms combined

Step 4: -6 = x . . . . . . . . . . . . . divide by -2

__

Check

  12 = -2(-6 -4) -8 = -2(-10) -8 = 20 -8 = 12 . . . . answer checks OK

__

Comment on other mistake

In the original Step 5, -2 was divided on the right and added on the left. This is a violation of the properties of equality, so guarantees a wrong answer. The same operation must be performed on both sides of the equation.

An additional mistake was made in that the answer was not checked.

Answer:

Step-by-step explanation:

1 dined esta Ricardo

2donde vamos

3que class de gusta mas

4que ensena el profesor

5como son Los estudiantes

Answer:

18.78 minutes is my opinion

Step-by-step explanation:

3 ml is filled in 1 minute

1 ml is filled in 1/3 minutes

20 ml is filled in 1/3*20 minutes

=6.22

75 ml is filled in 1/3*75 minutes

=25

25-6.22=18.78

Answer:Number of coins that are quarters =60

Step-by-step explanation:

Total coins in possession of Eric=240

Number of coins that are pennies=11\20 x 240= 132

Number of coins that are nickels=4\20 x 240= 48

Since the rest are quarters,

Number of coins that are quarters =Total coins in possession of Eric -( Number of coins that are pennies+ Number of coins that are nickels)

=240-(132+48)

=240-180

=60

Answer:

13/15

Step-by-step explanation:

The fraction of the cookies that are chocolate chip can be determined by solving this equation

1 - ([tex]\frac{4}{12}[/tex] - [tex]\frac{1}{5}[/tex])

1 - [tex]\frac{20 - 12}{60}[/tex]

1 - [tex]\frac{8}{60}[/tex]

[tex]\frac{60}{60}[/tex] - [tex]\frac{8}{60}[/tex] = [tex]\frac{52}{60}[/tex] = 13/15

Answer:

Step-by-step explanation:

Circumference of a circle = 2πr

Area of circle = πr²

Here, r = radius of the circle

1). For radius = 1.7 units

Circumference = 2π(1.7)

                         = 2(3.14)(1.7)

                         = 10.676

                         ≈ 10.7 units

Area of the circle = π(1.7)²

                             = 3.14(1.7)²

                             = 9.0746

                             = 9.1 units²

2). For radius = 14 ft

   Circumference of the circle = 2π(14)

                                                 = 28(3.14)

                                                 = 87.92

                                                 ≈ 87.9 ft

    Area of the circle = πr²

                                  = 3.14(14)²

                                  = 615.44

                                  ≈ 615.4 ft²

3). For radius = 9 in.

   Circumference = 2π(9)

                             = 18π

                             = 56.52

                             ≈ 56.5 in

Area of the circle = π(9)²

                             = 81π

                             = 254.34 in²

                             ≈ 254.3 in²

Answer:

2

−

1

2

1

−

6

−

1

1

9

−

6

Solution

−

1

1

9

−

6

hope this helps

Answer:

[tex] - \frac{5}{2} [/tex]

Step-by-step explanation:

4x -10y= 40

Let's rewrite this equation in the slope-intercept form (y= mx +c) so that we can obtain it's slope.

10y= 4x -40

Divide both side by 10:

[tex]y = \frac{2}{5} x - 4[/tex]

The product of the gradients of perpendicular lines is -1.

⅖(gradient of line)= -1

Gradient of perpendicular line

[tex] = - 1 \div \frac{2}{5} [/tex]

[tex] = - 1 \times \frac{5}{2} [/tex]

[tex] = - \frac{5}{2} [/tex]

Answer:

3 5/7

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Apply absolute rule: | a | = a, a ≥ 0

| 13 | = 13

= 13 + | -2 |

| -2 | = 2

= 13 + 2

= 15

Answer:

y ≥ 1

since the graph starts at 1 and doesn't come below that

Answer:

I hoped this helped :))

Answer:

Kindly check explanation

Step-by-step explanation:

Given that :

Side links are : 3m, 4m, 5m

The perimeter of a triangle = (a + b + c)

Perimeter 1= (3 + 4 + 5) = 12m

If the side links are multiplied by 4 :

3*4 = 12 m

4*4 = 16m

5*4 = 20m

Perimeter2 = (12 + 16 + 20) = 48 m

Comparing the perimeters:

Perimeter 1 = perimeter 2

12 = 48

Hence, perimeter also increases by 4 folds

Answer:

1.5

Step-by-step explanation:

Answer:

1.5

Step-by-step explanation:

Answer:

The probability of not spinning a 3 is [tex]\frac{8}{9}[/tex]

Step-by-step explanation:

The probability of spinning a 3 is 1/9. What is the probability of not spinning a 3?

Spinning a 3 and not spinning a 3 are complementary events, which means that the sum of their probabilities is decimal 1. So

[tex]\frac{1}{9} + p = 1[/tex]

[tex]p = 1 - \frac{1}{9} = \frac{9}{9} - \frac{1}{9} = \frac{8}{9}[/tex]

The probability of not spinning a 3 is [tex]\frac{8}{9}[/tex]