find the volume of the square pyramid, given its slant height​

Find The Volume Of The Square Pyramid, Given Its Slant Height

Answers

Answer 1

Answer:

Step-by-step explanation:

base length b = 32 cm

slant height L = 30 cm

 

height h = √(L²-(½b)²)

= √(30²-0.25·32²)

≅ 25.3771550809 cm

 

volume V = (⅓)b²h

= (⅓)32²·25.38

≅ 8662.07 cm³


Related Questions

On Wednesday morning, Smith's had 99
boxes of Sweet Smacks on the shelf. 4
out of every 11 boxes contained a prize.
How many boxes did NOT contain a
prize?

Answers

I’m pretty sure you just do 11-4 and get 7 and then do like 99 divided by 7?

Answer:

4

Step-by-step explanation

Im sure its four. If not let me know

10=k5 what does k equal

Answers

Answer:

k = 2

Step-by-step explanation:

10 = 2(5)

10 = 10

Answer: k=2

Step-by-step explanation:

10=(2)5

10=2x5

10=10

Which of the following best describes the solution to the system of equations below? -8x + 3y = -6 9x - 3y = 6 A. The system of equations has exactly one solution where x = 8 and y = 2. B. The system of equations has no solution. C. The system of equations has infinitely many solutions. D. The system of equations has exactly one solution where x = 0 and y = -2.

Answers

Answer:

C. no solution

Step-by-step explanation:

If the simple interest on ​$1000 for 9 years is ​$630​, then what is the interest​ rate?

Answers

Answer:

0.07 or 7%

Step-by-step explanation:

I = Prt

630 = (1000)(9)r

630 = 9000r

r = 0.07

Step-by-step explanation:

Simple interest (SI) = $ 630

Time (T) = 9 years

Principal (P) = $ 1000

Rate (R) = ?

We know

[tex]si = \frac{ptr}{100} \\630 = \frac{1000 \times 9 \times r}{100} \\ 630 = 90r \\ r \: = \frac{630}{90} \\ = 7\%[/tex]

Therefore the rate of interest is 7%.

Hope it will help :)❤

HELP AND PLS EXPLAIN AND ILL MARK BRAINLIEST PLSS I'M CONFUSED AND NEED HELP FAST ​

Answers

Answer:

Okay so what you do is multiply 6*9*4.5 together and that'll give you 243 as the volume of the prism. I'm not sure what it is in decimal. I'm guessing 24.3

I'm so sorry if this is incorrect.

Have a great day! <3

Answer:

121.5 ft^2

Step-by-step explanation:

To find Volume of Triangular prism, find the area of the triangular shape first.

Step 1:     6 x 4.5 = 27(square)

Step 2:   27 x .5 = 13.5(triangle)

13.5 x 9(the width) = 121.5

Because volume is length x width x height.

The height and length is 6 x 4.5 in this problem.

Note :  I did "x.5 " because I needed to divide 27 by two to get a triangle. Since a triangle is half a square.  Dividing by 2 and multiplying by .5 are the same thing.

Example: 20 x .5 =10 or 20/2 =10

Find the area.
4 cm
6 cm
6 cm
square centimeters

Answers

Answer:

96cm

Step-by-step explanation:

4cm x 4cm x 6cm = 96scm

Last year, a school had 632 students. This year the school has 670 students. Find the percent of increase in the number of students.

Answers

Answer:

I don't know

Step-by-step explanation:

but what I do know is to not increase your days is bad

Please help me to solve
✓ C
✓ D
✓ E​

Answers

Answer:

1)Mononaimal polynomial

2)Mononomial polynomial

3)Bionomial polynomial

A rectangle has an area of 56x2y units2. If the height of the rectangle is 7xy. What is the length of the rectangle.

Answers

Answer:

8x units

Step-by-step explanation:

A rectangle has an area of 56x²y units². If the height of the rectangle is 7xy. What is the length of the rectangle.

The Area of a Rectangle is calculated with the formula

Length × Width ( Height)

Area = 56x²y square units

Height = 7xy units

Length =Area of the rectangle/Height of the rectangle

= 56x²y square units/7xy units

= 8x units

Given point A(2, -1) and point B(5,3), what is the slope of a line that passes through
points A and B?

Answers

Answer:

y2-y1/x2-x1

3-(-1)/5-2

3+1/3

4/3 answer

Please help with these 3! Don’t need the steps, just the answer

Answers

The top left one is y=-4x-5
Bottom left is y=-x+2
The right one is y=2/3x-4

What is an equivalent expression of -1/2(-2x+4y

Answers

Answer:

x−2y

Step-by-step explanation:

you meant to put a parenthesis at the end right?

At a flea market, used computer games are sold at the prices shown in the table below.

Number of Games Price ($)
2 9.00
5 22.50
7 31.50

Answers

there’s no question....

The proportion relation between the number of games and the price is given by the proportionality constant k = 4.5

What is Proportion?

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the number of games be represented as x

Let the cost for the total number of games be y

And , the values of x = { 2 , 5 , 7 }

Now , the values of y = { 9.00 , 22.50 , 31.50 }

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

On simplifying , we get

9 = k ( 2 )

Divide by 2 on both sides , we get

k = 4.5

And , 22.50 = k ( 5 )

Divide by 2 on both sides , we get

k = 4.5

Therefore , the proportionality constant is k = 4.5

Hence , the proportion is y = 4.5x

To learn more about proportion click :

https://brainly.com/question/7096655

#SPJ2

The complete question is :

At a flea market, used computer games are sold at the prices shown in the table below.

Number of Games Price ($)

2 9.00

5 22.50

7 31.50

Do the Number of the games and price form a proportional relationship? choose correct response

1. Yes there is a constant of proportionality of 11.25.

2. Yes there is a constant of proportionality of 4.50.

3. No there is not a constant of proportionality.

4. No the Slope is 4.5

Help me solve this question please

Answers

Answer:

ii

Step-by-step explanation:

plzzzz help me due soon!!!

Answers

Answer:

c

Step-by-step explanation:

i hope this helps


Two children divide £1.50 between them in the ratio of 2: 1. How much is the smaller share?

Answers

Answer:

0.50 cents

Step-by-step explanation:

If the ratio is 2:1 then the bigger share would be 2 times bigger than the smaller share.

A recipe needs 1/2 teaspoon of vanilla for every 21/2 cups of sugar. If you plan to use 5 cups of sugar, how much vanilla will you need?

Answers

sorry i couldn’t help you. ill try to answer

Answer:

1 teaspoon

Step-by-step explanation:

Grades do Friday plz help I’ll do anything 1. Write an equation in standard form for the line shown
10
2. The equation 2x - 5y = 20, the table below, and the graph
below represent three different linear functions.
X
у
3
1
-2
4
-1
7
0
10
21
2
13.
16
3
19
1
which function represents the line with the greatest slope?
Explain your reasoning
3. Winto an equation in standard form for the line that is
represented by the data in the table
x
-1
2
3
7
5
3
1
4. Write an equation in standard form for the line with a stope
of that passes through the point (2)
5. Doomine the concept y barcopt, and slope of the line
described by 3x7 -21

Answers

Answer: You have to be packiing

Step-by-step explanation: 17 inches

MacKenzie invested $6,500 in an account that earns 4.3% simple interest rate. What is the balance in her account after 5 years?

Answers

Answer:

so you wold do I=t×r×A ok so I=6,500 t=5 r=4.3 and u have to find A so you wolf multiple 5×4.3=21.5 and than you wold divide 6500÷21.5=302.3255813953488×21.5= 6500 so A=302.3255813953488

Is this true for false?

Answers

Answer:

i believe true

Step-by-step explanation:

sorry if wrong

What is a fraction for 6:100

Answers

Answer:

it's 3/50

Step-by-step explanation:

Answer:

3/50

Step-by-step explanation:

the fraction 6/100 can simplify to 3/50

i need help asap! pls ​

Answers

The answer is b) because one of the line passes through this point

C because if you calculate you’ll se what

has anyone taken the math kangaroo competition

and if so how should i prep theres not much material on it im currently in level 7-8

Answers

no i haven’t i’m sorry,what even is that tho

It costs $150 to rent a party room at Pizza-n-Games, plus $6 per person for pizza and $5 per person for game tickets. The expression showed gives the total cost for n people.

150+6n+5n
Evaluate the expression to find the cost for a party of 15 people

Answers

Answer:

$315

Step-by-step explanation:

1 poin
A catering assistant mixes 4 parts of cordial to 12 parts of water. Express
this as a ratio in its simplest form.*
1:1/3
O 1:2
O 1:3
O 14

Answers

1:3

4 goes into 12 three times.

4/12 = 1/3 = 1:3


Which of the following numbers makes the inequality -2 A-5
B
-2
C 5
D 6
E
-3
6
Evie's test score is greater than 65, but no more than 90. An inequality that represen
this is

Answers

Answer:

opposite word of disperse

What is the missing reason in steps 7 and 8 of the proof?



Given: ∆ABC with AB = c, BC = a, AC = b
Prove: = =

Statement Reason
1. Draw a line through B that is perpendicular to and label the point of intersection with as D. construction
2. In ∆ABD, BD = c sin A definition of sine in right triangle
3. In ∆CBD, BD = a sin C definition of sine in right triangle
4. c sin A = a sin C Substitution Property of Equality
5. = dividing throughout by sin A
sin C
6. Draw a line through A that is perpendicular to and label the point of intersection with as E. construction
7. In ∆BAE, AE = c sin B
8. In ∆CAE, AE = b sin C
9. c sin B = b sin C Substitution Property of Equality
10. = dividing throughout by sin B
sin C
11. = = Transitive Property of Equality
A.
definition of cosine in right triangle
B.
definition of sine in right triangle
C.
definition of tangent in right triangle
D.
Corresponding sides of congruent triangles are equal.
E.
definition of equilateral triangle

Answers

Answer:

Step-by-step explanation:

The answer is option B) def of sine in right triangle

Can plss someone help me pls I need help

Answers

Answer:

[tex]x = { \tan(4.6) }^{ - 1} \\ x = (77.73522627211)[/tex]

77.7

Hope this helps:)

A singer earns $4 million in 2015. During the next 10 years, the earnings increase 7% each year. A. Write an exponential growth model giving the earnings y (in millions of dollars) t years after 2015. Write the base of the model as a decimal. An exponential growth model is y= b. In which year will the player's earnings first exceed $7,000,000?

Answers

Answer:

ninth year

Step-by-step explanation:

Given the general form of an exponential equation;

P = a(1 +r)^t

We can now write in this particular case;

y = 4 * 10^6(1 + 0.07)^t

The year in which y reaches 7 * 10^6 dollars is

7 * 10^6 =  4 * 10^6 (1 + 0.07)^t

7 * 10^6/4 * 10^6 = (1 + 0.07)^t

1.75 = (1 + 0.07)^t

ln(1.75)= ln(1 + 0.07)^t

ln(1.75) = t ln(1 + 0.07)

0.5596 = 0.06766t

t = 0.5596/0.06766

t = 8 years

So, in the ninth year;

y =  4 * 10^6 (1 + 0.07)^t

y = 4 * 10^6 (1 + 0.07)^9

y = 7.35 * 10^6

Hence, the player's earnings first exceed $7,000,000 in the ninth year.

Can someone explain this

Answers

Answer:

ummm if yu foil yu get

(4x+2)(x+1)

Step-by-step explanation:

ion kno if das rii

Other Questions
You plan to retire in 28 years. You would like to maintain your current level of consumption which is $52,672 per year. You will need to have 30 years of consumption during your retirement. You can earn 5.03% per year (nominal terms) on your investments. In addition, you expect inflation to be 2.82% inflation per year, from now and through your retirement. How much do you have to invest each year, starting next year, for 13 years, in nominal terms to just cover your retirement needs? In the passage, Frankie and Hazels dialogue about calling Monnie handsome suggests that Frankie views her notes as ones thatA) should be considered as absolute fact.B)prioritize the opinions of her friends.C)may be revised in the future.D)serve as a reflection of her own observations. how many millimeters are in 6 decimeters Select the two adverbs.Will your firm's new lawyer be presenting his case at the district courthouse later today? tank contains 335 kg of water at a uniform temperature of 60oC. The tank is insulated and not heated; it neither loses nor gains heat through the walls of the tank. A valve is opened and water exits the tank at a rate of 0.5 kg/sec and a temperature of 60oC. After 10 seconds the valve is closed again . Using the assumption that water at zero degrees centigrade contains zero energy and considering only internal, how much energy left the tank through the valve during this 10 second period; report as kJ. i need someone who really knows french well. By the way googl.e translation does not work for this. i need to write a problem in a slope-intercept form equation what's the function of the lungs Help me please!! Topic: Prohibition Who,what, when, where, and why about the topic 1-2 paragraphs please (21 POINTS) please help i need help realy fast Question 5: 20 ptsOut of 200 apples in a basket, 5 are rotten. What is the experimental probability that an apple chosen at randomis a good one? If there are 800 apples in a basket, how many of them are likely to be good? What was the structure of Japanese feudal society? A : 38 B : 6 C: 10 D: 22 What government action first allowed American businessmen to come to China in large numbers? Who developed the atlatl as a new weapon A similarity between Woodrow Wilson and Theodore Roosevelt was that both Dr. Nachman and his colleagues collected rock pocket mice across 35 kilometers of the Arizona Sonoran Desert, which included both dark, rocky lava outcrops and light, rocky, granite areas. They recorded substrate color, and coat-color frequencies for each location. Each site was separated from any of the others by at least eight kilometers. The researchers trapped a total of 275 mice. Their data are summarized below (numbers have been slightly modified for the purposes of this worksheet).Field Data SummaryCollecting Site Substrate Color Number of Mice Phenotype Light Dark1 Dark 22 3 192 Light 80 74 63 Light 22 19 34 Dark 28 3 255 Light 58 25 336 Dark 65 9 561. Calculate the overall frequencies of light-colored mice and dark-colored mice caught on light-colored substrates. [to 3 decimal places]2. Calculate the overall frequencies of light-colored mice and dark-colored mice caught on dark-colored substrates. (to 3 decimal places)3. Using the Hardy-Weinberg equation and data from the table above, determine the frequency of the three genotypes on the light, rocky, granite substrate. For genotype frequencies use three decimal places and for calculations using the allele frequencies, you must round the allele frequencies to two decimal places.4. Using the Hardy-Weinberg equation and data from the table above, determine the frequency of the three genotypes on the dark, rocky lava substrate. (to 3 decimals). For genotype frequencies use three decimal places and for calculations using the allele frequencies, you must round the allele frequencies to two decimal places.5. Which fur color seems to have the greatest overall selective advantage? Use data collected from both dark-colored and light- colored substrates to support your answer.6.What environmental change gave a selective advantage for one coat color over another?7. In a separate study, 76 rock pocket mice were collected from four different, widely separated areas of dark lava rock. One collecting site was in Arizona. The other three were in New Mexico. Dr. Nachman and colleagues observed no significant differences in the color of the rocks in the four locations sampled. However, the dark-colored mice from the three New Mexico locations were slightly darker than the dark-colored mice from the Arizona population. The entire Mc1r gene was sequenced in all 76 of the mice collected. The mutations responsible for the dark fur color in the Arizona mice were absent from the three different populations of New Mexico mice. No Mc1r mutations were associated with dark fur color in the New Mexico populations. These findings suggest that adaptive dark coloration has occurred at least twice in the rock pocket mouse and that these similar phenotypic changes have different genetic bases. How does this study support the concept that natural selection is not random?8. To determine if the rock pocket mouse population is evolving, explain why it is necessary to collect fur color frequency data over a period of many years. What type of conflict is presented in this excerpt?A conflict with other characters.A conflict within one character.A conflict with nature.A conflict within society. How genetically modifying affects everything we eat ?HELPPP can someone help me with this please