What is the volume of a square pyramid with base side length of 22 cm and height of 8cm?

Answers

Answer 1
Answer is 1290.67. I rounded to the nearest tenth but it goes on.
Answer 2

Answer:

Volume of a pyramid is

[tex] \frac{1}{3 } \times (area \: \: of \: base) \times height[/tex]

Since it's a square pyramid the base is a square

So we have

Area of a square = l²

where l is the length of one side

Area of square = 22²

= 484 cm²

So volume of the pyramid is

[tex] = \frac{1}{3} \times 484 \times 8 = 1290.7 {cm}^{3} [/tex]

Hope this helps you


Related Questions

If anyone doesn't mind helping may you plz help me

Answers

Answer:

SAS

Step-by-step explanation:

Please let me know if this doesn't help. I'm trying my best to relearn this so I can help you.

SAS Postulate

we know that the triangles (as a whole) as vertical angles meaning they are congruent. We also know FD and BD are congruent to themselves by the reflexive property. And the last side is already congruent (it’s given) :))

Helppppppppppppppppp

Answers

Answer/Step-by-step explanation:

Surface area of cylinder = 2πrh + 2πr²

Surface area of the cylinder with,

height (h) = 4 ft

radius (r) = 5 ft

Surface area = 2*3.14*5*4 + 2*3.14*5²

= 125.6 + 157

= 282.6 ft²

Surface area of the cylinder with,

height (h) = 12 yd

radius (r) = 3 yd

Surface area = 2*3.14*3*12 + 2*3.14*3²

= 282.74 yd²

HELP FAST PLEASE

Polygon ABCDE is congruent to polygon TVSRK. VSR corresponds to

a,) b,) c,) d,)

Answers

We are given that ABCDE is congruent to TVSRK and want to find what corresponds to VSR.

Look at the ordering of the letters. VSR is the second, third, and fourth letters of TVSRK, respectively.

Thus, we just have to select the second, third, and fourth letters of ABCDE and we get BCD.

Thus, VSR corresponds to BCD. Let me know if you need any clarifications, thanks!

Which of the following rational functions is graphed below?

Answers

Hey Mate!!

Your answer will be below.

Step-by-step explanation:

The answer is C. Because, There's vertical asymptotes at 1 and -1. Vertical asymptotes are present where the x on the denominator is equal to 0. So, Both the values are 1 and -1 set are equal to the 0 in the denominator, So, They're both horizontal asymptotes. Good Luck!

The answer is C . C C C C C C C

The question is in the picture

Answers

Answer:

angle B=92

Step-by-step explanation:

cos C= adj/hyp

sin C=12/14=6/7 ( in rad.)

angle C is 31 degree

the sum of angles of triangle =180

angles A+B+C=180

angle B=180-(31+57)=92 degrees

abby owns a square plot of land. she knows that the area of the plot is between 2200 and 2400 square meters. which of the following answers is a possible value for the side length of the plot of land?

Answers

Answer:

48

Step-by-step explanation:

The formula for the area of a square is A = s².  Plug in each value and see if is in between 2200 and 2400.

A = s²

A = (46)²

A = 2116

A = s²

A = (48)²

A = 2304

A = s²

A = (50)²

A = 2500

A = s²

A = (44)²

A = 1936

The only value that fits in between 220 and 2400 is 48.

A: Top 6% of scores B: Scores below the top 6% and above the bottom 59% C: Scores below the top 41% and above the bottom 17% D: Scores below the top 83% and above the bottom 7% F: Bottom 7% of scores Scores on the test are normally distributed with a mean of 79 and a standard deviation of 8.4. Find the numerical limits for a B grade. Round your answers to the nearest whole number, if necessary.

Answers

Answer:

The numerical limits for a B-grade is between 81 and 92

Step-by-step explanation:

Here in this question, our task is to find the numerical limits for B grade. This means the range between a test taker would be scored a B grade

Please check attachment for complete solution and explanation

03.07A LC)Which of the following describes a situation in which a basketball player ends up 0 m from his starting point? The player runs 9 meters forward, and then runs 0 meters in the opposite direction. The player runs 5 meters forward, and then runs 6 meters in the opposite direction. The player runs 6 meters forward, and then runs 5 meters in the opposite direction. The player runs 4 meters forward, and then runs 4 meters in the opposite direction.

Answers

Answer:

The correct option is;

The player runs 4 meters forward, and then  runs 4 meters in the opposite direction

Step-by-step explanation:

From the question relates to the displacement of a body, compared to the distance covered by the body

In the question instance, the situation in which the player displacement will be  zero is one where both the players forward and backward displacement are equal such that they cancel each other

We have the instance where the forward and opposite displacement are  equal is given by the situation where the player runs 4 meters forward, and then  runs 4 meters in the opposite direction.

Answer:

d would be the answer if your so needy

Step-by-step explanation:

Please help Asap. Will give brainiest if answered correctly with a math question

Answers

TV = VX.

3x-24 = 2x + 1

Add 24 to both sides:

3x = 2x + 25

Subtract 2x from both sides:

X = 24

VX = 2(25) + 1 = 50 + 1 = 51

The answer is 51

Answer:

51

Step-by-step explanation:

Since it is an isosceles triangle the two sides are equal  

3x - 24 = 2x + 1

x = 25

2(25) + 1 = 51

Parallelogram L M N O is shown. Angle L is (x + 40) degrees and angle O is (3 x) degrees. What is the measure of angle O in parallelogram LMNO? 35° 75° 105° 155

Answers

Answer:

C, 105 Degrees

Step-by-step explanation:

So the two opposite sides of a parallelogram is equal to each other and the two adjacent angles are supplementary. So if (x+40)+3x=180, this means that 4x+40=180. This gives us 4x=140, so x=35. If we plug it back into the equation it ascertains as such: 3(35)= 105. The answer for this question and angle O is 105 degrees, or C.

The measure of angle O in this parallelogram is 105°.

The properties of a parallelogramThe opposite angles of a parallelogram are equal.The Opposite sides of the parallelogram are equal and parallel.The diagonals of the parallelogram bisect each other.The Sum of the angles = 360°

Solution

Because the properties says that opposite angles are equal.

Angle L =  (x + 40)

angle O = (3 x)

Applying the first property

x+40+x+40+3x+3x = 360

collect the like terms

x+x+3x+3x+40+40 = 360

8x+80 = 360

8x = 360-80

8x = 280

Divide through the equation by 8

x = 280/8

x = 35

The question wants us to find the value of angle O

O = 3x

O = 3*35

= 105

The value of angle O is equal to 105°

Read more on parallelograms here:

https://brainly.com/question/970600

Given the sequence -3, 9, -27, 81, -243, ..., find the recursive formula.

Answers

Answer:

a(1)= -3

a(n)=a(n-1) (-3)

Step-by-step explanation:

hope this helps

Recursive formula of the given sequence -3, 9, -27, 81, -243, ... , is (-3)^n ; where n = 1,2,3, ...

What is recursive formula?A recursive formula defines any term of sequence with its preceding term.

 

The given sequence is -3, 9, -27, 81, -243, ... ,

First term = -3

Second term = (-3)^2 = 9

Third term = (-3)^3 = -27

Fourth term = (-3)^4 = 81

Fifth term = (-3)^5 = -243

Hence, the recursive formula of the given sequence -3, 9, -27, 81, -243, ... , is (-3)^n ; where n = 1,2,3, ...

Learn more about recursive formula here:

https://brainly.com/question/11930455

#SPJ2

How much will Bob need to save each month if he wants to buy a $30,000 car with cash in 5 years? He can earn a nominal interest rate of 10% compounded monthly.

a) $2.50
b) $250.00
c) $25.00
d) $1,862.76​

Answers

Answer:

B

Step-by-step explanation:

C is too little and D is too much

find the slope and y intercept of the line y=7/5x-3 5/7; 3 3; 7/5 7/5;-3 -3; 7/5

Answers

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

From the question

y = 7/5x - 3

Comparing with the above formula

Slope / m = 7/5c/ y intercept = - 3

Hope this helps you

The value of the slope of the line is 7/5 and the y-intercept is -3

Given the line equation :

y = 7/5x - 3

The general form of the equation is :

y = bx + cslope = b ; intercept = c

Comparing the equations :

b = 7/5 c = -3

Hence, the slope and y-intercept are 7/5 and -3

Learn more on slopes :https://brainly.com/question/25987747

#SPJ6

Forty-nine is subtracted from a number. The difference is divided by 11. The quotient is 3. What is the number?

Answers

Answer:

N = 82

Step-by-step explanation:

(N - 49)/11 = 3

N - 49 = 33

N = 82

N=82
N-49=33
so n = 82

find the zeros or x-intercepts (values of r and s) of a quadratic relation y=x^2-5x+6 by factoring using the sum and product method

Answers

Answer:

[tex] y = x^2 -5x +6[/tex]

And for this case we want to find the zeros or x interceps r and s so we want to rewrite the function on this way:

[tex] y = (x-r) (x-s)[/tex]

The reason why we have two zeros is because the degree of the polynomial is 2. If we find two numbers that adding we got -5 and multiplied 6 we solve the problem. For this case the solution is r =3, s =2

[tex] y=(x -2)) (x-3)[/tex]

Step-by-step explanation:

For this problem we have the following polynomial given:

[tex] y = x^2 -5x +6[/tex]

And for this case we want to find the zeros or x interceps r and s so we want to rewrite the function on this way:

[tex] y = (x-r) (x-s)[/tex]

The reason why we have two zeros is because the degree of the polynomial is 2. If we find two numbers that adding we got -5 and multiplied 6 we solve the problem. For this case the solution is r =3, s =2

[tex] y=(x -2)) (x-3)[/tex]

ANSWER FAST A 10 ft long ladder has one end that leans against a wall and another that rests on the ground 6 feet from the wall. How high on the wall does the ladder rest?

Answers

Answer:

8 feet

Step-by-step explanation:

[tex]h = \sqrt{10^{2} - 6^{2} } = \sqrt{100 - 36} = \sqrt{64} = 8[/tex]

Determine the number of terms, n, given the geometric series -1 - 2 - 4 - 8 - ... and Sn=−31.

Answers

Answer:

5

Step-by-step explanation:

We are given the geometric series:

-1, - 2, - 4, - 8.......

In the geometric series above, the common ratio = second term/first term = -2/-1

= 2

Where common ratio is greater than 1(r >1)

The sum of a geometric progression =

Sn = a(rⁿ -1)/r - 1

In the question we are asked to find the number of term = n

Sn = -31

a = -1

r = 2

Hence,

-31 = -1(2ⁿ - 1)/2 - 1

-31 = -1(2ⁿ - 1)

-31 = -2ⁿ + 1

2ⁿ = 1 + 31

2ⁿ = 32

2ⁿ = 2^5

n = 5

Therefore, the number of terms(n) = 5

Please answer it now in two minutes

Answers

Answer:

8.4 in

Step-by-step explanation:

Solution:-

- We consider the large right angle triangle namely, " XVW "

- We will recall all the trigonometric ratios that are applicable to all right angled triangles.

- While we are dealing with trigonometric ratios we have the following terms that needs to be correlated with the given specific problem:

            Hypotenuse ( H ): Side opposite to 90 degrees angle

            Base (B): The side adjacent to the available angle ( θ )

            Perpendicular (P): The side opposite to the available angle ( θ )

- We will go ahead and mark our respective sides as follows:

            Angle ( θ ) : 34°

            Hypotenuse ( H ) : XW = 15 in

            Base ( B ) : VW

            Perpendicular ( P ) : VX

- Now recall all the trigonometric ratios studied:

           sin ( θ ) = P / H = VX / XW

           cos ( θ ) = B / H = VW / XW

           tan ( θ ) = P / B = VX / VW

- Now choose the appropriate trigonometric ratio with two values given and one ( VX ) that needs to be determined as follows:

                             sin ( θ ) = P / H = VX / XW

                             sin ( 34° ) = VX / 15

                             VX = 15*sin ( 34° )

                             VX = 8.387 .. ( 8.4 ) in

97 students choose to attend one of three after school activities: football, tennis or running. There are 45 boys. 36 students choose football, of which 11 are girls. 41 students choose tennis. 15 girls choose running. A student is selected at random. What is the probability this student chose running? Give your answer in its simplest form.

Answers

Answer:

20/97

Step-by-step explanation:

Since we are only looking at students in general that choose running, the question is more simple than it seems. We can ignore every phrase that is gender specific because it doesn't apply to our question. All we need to know is that there are:

97 students

36 who chose football

41 who chose tennis

And we just need to find the number that chose running

97-(36+41)=20

20 students chose running

20/97

The municipal swimming pool in Charlotte, North Carolina has three different ways of paying for individual open swimming. Nick is trying to decide which way to pay. • Early Pay: Pay $38.00 before Memorial Day; swim any number of days • Deposit Plus: $13.00 deposit plus $3.00 per day • Daily Pay: $5.00 per day

Answers

Answer:

$13.00 deposit plus $3 per day.

Step-by-step explanation:

Nick is deciding to acquire membership in municipal swimming pool in Charlotte, North Carolina. There are three different ways for the payment. The lump sum initial is $38 which is difficult for Nick to finance. Also if Nick is unable to go for swim he will lose $38. The per day deposit is suitable option for Nick as he will only have to pay when he goes for swim.

Answer:

Table of swimming costs using the three different payment methods

Payment Method        Number of days

                           0 days  5 days  10 days  15 days  20 days

Early Pay           $38.00  $38.00  $38.00  $38.00    $38.00

Deposit Plus      $13.00  $28.00  $43.00  $58.00     $73.00

Daily Pay           $00.00  $25.00  $50.00  $75.00   $100.00

Which graph represents the function f(x)=−4x−3?

Answers

Answer:

The graph on the top left.

Step-by-step explanation:

f(x) = [tex]-4^x - 3[/tex]

That means that when x = 0...

f(0) = [tex]-4^0 - 3[/tex]

f(0) = -1 - 3

f(0) = -4

So, the function will have a point at (0, -4). We can eliminate the two graphs on the right.

When x = 1...

f(1) = [tex]-4^1 - 3[/tex]

f(1) = -4 - 3

f(1) = -7

So, the function will have a point at (1, -7). That corresponds to the graph on the top left.

Hope this helps!

Answer:

the top left

Step-by-step explanation:

just took the test

An athlete runs 100 m each minute.
If she starts running at 10:00 am, how
many kilometres will she have run
by 10:20 am? ​

Answers

Answer: 2 km

From 10:00 - 10:20 is 20 minutes and she’s runs 100 meters a min which is 0.1 km so then 20 times 0.1 equals 2

Fareeda is researching a paper for her astronomy class and has identified a book of star charts that she feels would be a useful resource. Unfortunately, neither the school nor the local city library has it in their collections, and it would be expensive to purchase. However, there is a copy of the book at another school's library, about 150 miles away. What would be the BEST way for Fareeda to obtain the book for her research

Answers

Step-by-step explanation:

I would suggest that she studies or do a cost analysis of what it will cost her to transport to the library to request for the book and return it, if it is not expensive as compared to the cost of the book she should travel down to request for it. else she should purchase the book

Or

Fareeda can simply check if the second library has a distant library services so that the book can be either

1. Sent to her home or placement address, or

2.Scans of book chapters and articles be emailed to her.

A trapezoid, square, and semicircle are connected to form a composite figure. Trapezoid M D C K has base lengths of 8 millimeters and 4 millimeters. Square A B C D has side lengths of 2 millimeters. Line A B is the diameter of the semicircle and has a length of 4 millimeters. What is the area of the composite figure if AB ≅ BC ≅ CD ≅ DA ≅ DN? (2π + 28) mm2 (2π + 32) mm2 (2π + 40) mm2 (2π + 48) mm2

Answers

Answer:

(2π + 28) mm²

Step-by-step explanation:

The Area of the Composite figure =

Area of the Trapezoid + Area of the Square + Area of the semicircle

a) Area of the Trapezoid

Trapezoid M D C K has base lengths of 8 millimeters and 4 millimeters

Diameter of the semicircle= length of 4 millimeters = height of the trapezoid

Area of trapezoid = 1/2 × h × (b + b)

= 1/2 × 4 × (8 + 4)

= 1/2 × 4 × 12

= 1/2× 48

= 24mm²

b) Area of the square

Square A B C D has side lengths of 2 millimeters.

Area of a square = Side length²

=(2mm)² = 4mm²

c) Area of the semicircle

Line A B is the diameter of the semicircle and has a length of 4 millimeters.

Formula for the Area of a semi circle: πr²/2

Radius = Diameter/2 = 4mm/2 = 2mm

= π × 2²/2

= 4π/2

= 2πmm²

The Area of the Composite figure =

Area of the Trapezoid + Area of the Square + Area of the semicircle

= 24mm² + 4mm² + 2πmm²

= 28mm² + 2πmm²

= (28 + 2π)mm²

Therefore, the Area of the Composite figure = (28 + 2π)mm² or (2π + 28) mm²

Answer:

A- (2π + 28) mm²

Step-by-step explanation:

edge

Find the length of, x, of the third side of the triangle.

Answers

Answer:

i do not know either so please help me because this is not my level

Answer:

8=x

Step-by-step explanation:

can u give me a 5 star plz ty :)

if a student is selected at random find the probability the student is a male given that it's a senior. Round to the nearest whole percent.

Answers

Answer: 40%.

Step-by-step explanation:

From the table : Total Seniors = 2+3= 5

Number of male seniors = 2

If a student is selected at random find the probability the student is a male given that it's a senior:

P(Male | senior)[tex]=\dfrac{\text{Number of male seniors}}{\text{Total seniors}}[/tex]

[tex]=\dfrac{2}{5}[/tex]

In percent, [tex]\dfrac{2}{5}\times100=40\%[/tex]

Hence, the probability the student is a male given that it's a senior.  =40%.

The probability of the student is a male senior is 7%.

Given, here from the 2- way table the total no. students will be 30.

We have to find out the probability of the student select at random, student is a  senior male .

We know that, the probability of an event E, will be

[tex]P(E)=\dfrac{No.\ of \ favaurable\ outcomes}{Total\ outcomes}[/tex]

Now,

[tex]P( Senior\ male)= \dfrac{2}{30} \\\\P( Senior\ male)=0.06\\[/tex]

Representing it in percentage as,

[tex]P( Senior\ male)=0.06666\times100\%\\P( Senior\ male=6.66\%[/tex]

Hence the nearest whole percent will be 7%.

Thus probability of the student is a male senior is 7%.

For more details on probability follow the link:

https://brainly.com/question/795909

Find the Probability that a point chosen randomly inside the
rectangle is inside the trapezoid. Enter your answer as a decimal.
10 ft
4 ft
6 ft
4 ft
12 ft
1
2 ft

Answers

Answer: 1/5

Step-by-step explanation:

We need to calculate the area of rectangle and trapezium and the Circumference of the circle.

Area of rectangle :

Length(L) = 10 ; width (W) = 6

Area = L * W = (10 * 6)ft = 60ft^2

Area of trapezium :

Height (h) = 4ft ; length(a) = 2ft ; length(b) = 4ft

Area = 0.5 ( a + b) h

Area = 0.5(2 +4) * 4 = 0.5(6)*4 = 12ft^2

Area of circle :

πr^2 ; r = radius of circle ; r= 2ft

3.142 * 2^2 = 3.142 * 4 = 12.568 ft^2

Probability = required outcome / Total possible outcomes.

P(point chosen inside rectangle is inside trapezium) = Area of trapezium / Area of rectangle

= 12/60

= 1/5

Instructions: Find the measure of the indicated angle to the
nearest degree

Answers

Answer:

x = 60°

Step-by-step explanation:

let the missing angle be = x

Cos x = 8/16

x = Cos-¹ 0.5

x = 60°

what is the value of the angle marked with x ​

Answers

Answer:

67°

Step-by-step explanation:

Given figure is an isosceles trapezoid. Then angles corresponding to equal sides must also be equal. Hence, X = 67°

Theorem: If a quadrilateral ( with one set of parallel sides ) is an isosceles trapezoid, it's legs are congruent.

Hope this helps...

Best regards!!

Give me correct answer and fast

Answers

Answer:

r=8.8

Step-by-step explanation:

sin 36=opp/ hyp

sin36=r/15

r= 15 sin36

r=8.8

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