Which expression represents the volume of the pyramid? One-thirdn(n − 1) units3 One-thirdn(n − 1)2 units3 One-thirdn2(n − 1) units3 One-thirdn3(n − 1) units3

Answer:

The answer is below

Step-by-step explanation:

Calvin school is 2.3 miles directly south of his house. After school, he takes a bus 1.8 miles west of his school to the sport complex.

a) What is the length of a straight line between calvins house and the sports complex? Round to the nearest tenth.

b) Calvin takes piano lessons at a community music school located 3.7 miles directly north of the sports complex. What is the length of a straight line between Calvin's house and the music school? Round to the nearest tenth.

Solution:

a) Calvin school, his house and the sport complex form a right angled triangle. The hypotenuse of the right angled triangle is the length of the line between Calvin's house and the sport complex. Let the length of the line between Calvin's house and the sport complex be x.

Using Pythagoras law for right angled triangle, we get that:

x² = 2.3² + 1.8²

x² = 8.53

x = √8.53

x = 2.9 miles to the nearest tenth

b) This forms a right angled triangle with the hypotenuse = length of a straight line between Calvin's house and the music school. one side of the triangle = 1.8 miles and the other side = 3.7 - 2.3 = 1.4 miles.

Let x = length of a straight line between Calvin's house and the music school. Hence:

x² = 1.8² + 1.4²

x² = 5.2

x = √5.2

x = 2.3 miles to the nearest tenth

Answer:

C. 10.0 m

Step-by-step explanation:

[tex]C=2\pi r[/tex]

radius is half of diameter

[tex]r = \frac{d}{2} \\r=\frac{3.2}{2} \\[/tex]

[tex]C= 2 (3.14) \frac{3.2}{2}[/tex]

[tex]C= (3.14)3.2\\C=10[/tex]

Answer:

y =-2/3x

x = 1

Step-by-step explanation:

adding both equations and then we find the value of y which is given below

y = -2/3x

and then putting the value of y in any above equation then we find the value of X which is given below

X = 1

I believe it would be x=2i

:)

Answer:

Answer:

a) 34.3%

b) 49%

Step-by-step explanation:

In order to find the probability of a sequence of events, we need to multiply each individual probability by the others in decimal form. Therefore, we need to turn these probabilities into decimal form by dividing them by 100 like so..

70% / 100 = 0.70

Now we multiply all of them together and multiply the product by 100 to get the percentage.

0.70 * 0.70 * 0.70 = 0.343

0.343 * 100 = 34.3%

34.3% is the probability of it raining on all three days. Now to find the probability of it raining on two consecutive days we do the same but multiply only 2 probabilities

0.70 * 0.70 = 0.49

0.49 * 100 = 49%

Answer:

Social Security = $385.83

Medicare = $90.23

Step-by-step explanation:

Social security rate in 2021 is 6.2% on your first $142,800 for the year. Shelly has not reached that threshold so her Social security tax is:

= 6.2% * 6,223

= $‭385.83

Medicare has no threshold and the rate in 2021 is 1.45%:

= 1.45% * 6,223

= $90.23

Answer:

6.5 minutes

Step-by-step explanation:

Divide T (total number of minutes) by M (total number of miles)

Answer:

Step-by-step explanation:

10 miles/65 minutes

65 minutes/10 miles

you need to find minutes per mile

Divide (Total number of Minutes) by (Total number of miles)

65/10=6.5

Answer:

Step-by-step explanation:

cheetah runs 60 miles/hour

lion runs 50 miles/hour

answer A

Answer:

A. the cheetah is faster by 10 miles

Step-by-step explanation:

If you add the other half hour a lion can run (25 miles) 25+25=50, 60 is greater than 50 by 10.

Answer:

B 8a3+4a2b+2ab2+b3

Step-by-step explanation:

2PM 6is the

Answer:

8. Not a function, the first three are of the same pattern but not the last two

9. Not a function, each input should have only 1 output or two inputs could have one output.

Answer:

H. 2.5

Step-by-step explanation:

we know that ∆ABC similar to ∆ DEF

so , DE= 2.5

:-))

9514 1404 393

Answer:

  $111.24

Step-by-step explanation:

The use of a 20% off coupon causes the price to be multiplied by (1 -20%) = 0.80. The addition of 7% tax causes the discounted price to be multiplied by (1 +7%) = 1.07. Multiplying the price by these two factors gives ...

  $129.95 × 0.80 × 1.07 = $111.24

The final cost with tax is $111.24.

Answer:

y>5−2x/3

Step-by-step explanation:

Answer:

ZD= OY= 42

DO= ZY= 25

YV= VD= 60/2= 30

ZV= OV= 18

Step-by-step explanation:

Parallelogram is same as rectangle so opposite side will be same, just like rectangle. and for diagnoal, V bisect both diagnoal so, ZV=VO and YV=VD

Hope this helps!!

Answer:

(4x+5)(x-3)

Step-by-step explanation:

You factor this by grouping together the numbers you get from multiplying/subtracting the numbers in the equation.

Answer:

Be clear with your question please

Hey there!

The answer to your question is x = 7

We can solve this by simplifying both sides of the equation:

2x - 6 = 8x - 48

Then, add 48 to both sides:

2x + 42 = 8x

Then, subtract 2x from both sides:

42 = 6x

Lastly, divide both sides by 6:

7 = x

Hope it helps! Have a great day, and good luck on your assignment!

Answer:

Step-by-step explanation:

Here you go mate

Step 1

(-5)(5) +5  Equation

Step 2

(-5)(5) +5 Simplify

(-5)(5) +5

Step 3

(-5)(5) +5  Add and multiply them

(-25)+5

answer

-20

Answer:

1) Radius = 17 cm

2). CD = 19.3 cm

Step-by-step explanation:

1). O is the center of the given circle.

 By joining the center and point A located at the circumference of the circle,

 OA = radius of the circle.

 Length of chord AB = 30 cm

 "Line from the center of a circle to the chord inside the circle is a perpendicular bisector of the chord"

  By the given property, OM equally divides the chord AB.

 AM = MB

 AM = [tex]\frac{1}{2}(AB)[/tex]

 AM = [tex]\frac{10}{2}[/tex] = 5 cm

 By applying Pythagoras theorem in ΔOAM,

 AO² = OM² + AM²

 AO² = 8² + 15²

 AO =  √289

 AO = 17 cm

 Therefore, radius of the circle = 17 cm

2). Since, OT, OC and OA are the radii of the given circle,

  OT = OC = OA = 17 cm

  ON = OT - NT

         = 17 - 3

         = 14 cm

   By applying Pythagoras theorem in ΔOCM,

   OC² = ON² + CN²

   17² = 14² + CN²

   CN = [tex]\sqrt{(17^2-14^2)}[/tex]

         = [tex]\sqrt{93}[/tex]

         = 9.64 cm

     Since, CD = 2(CN)

      CD = 2 × 9.64

             = 19.29 cm

              ≈ 19.3 cm

Step-by-step explanation:

Original x-value = 21

New x-value = 21 * (-1/7) = -3.

Original y-value = 28

New y-value = 28 * (-1/7) = -4.

Hence the coordinates of the new point is (-3,-4).

Answer:

Original value of x-axis =21

New value of x-axis = 21×(-1/7) = -3

Original value of y-axis =28

New value of y-axis = 28×(-1/7) = -4

Hence, the new coordinate is (-3,-4).

Answer:

-29

Step-by-step explanation:

plz brainliestt

Answer:

-29

Step-by-step explanation:

f(x) = 4x + 3

f(-8) = 4(-8) + 3

f(-8) = -32 + 3

f(-8) = -29

Answer:

[tex]7(2x + 3) = 3(4x + 6) + 2x + 3 \\ 14x + 21 = 12x + 18 + 2x + 3 \\ 14x - 14x = 21 - 21 \\ 0 = 0[/tex]

Answer:

slope = 0

Step-by-step explanation:

remember slope is just rise (change in y) over run (change in x) and since there's no change it has a zero slope, which applies to any horizontal line parallel to the x axis

(this is just me trying to explain slopes, separate from the question you put) if the right most point was 1 higher (5,7) instead of (5,6) then the slope would be 1/2 because to get from (5,7) to (3,6) you move up 1 and over 2

Answer:

140

Step-by-step explanation:

The two non supplementary angles not supplementary to x = the sum of those two angles. So the sum = 57 + 83 = 140

x = 140