Find the surface area of a square pyramid with side length 6 cm and slant height 7 cm.

Find The Surface Area Of A Square Pyramid With Side Length 6 Cm And Slant Height 7 Cm.

Answers

Answer 1
Answer:

120

Step-by-step explanation:Over all plan:

This is a square pyramid so you know that all four triangular sides are congruent. This means that to solve this problem, which is asking you to find the surface area, you need to find the area of one of these triangles, and multiply that by 4. Next you need to find the area of the square and add it to the areas of the triangles.

Detailed Steps:

You know the formula to finding the area of the triangle is [tex]\frac{bh}{2}[/tex] where b is the base length and h is the height. We are given b = 6 and h = 7 in your question.Plug in the values into the formula.  You get: [tex]\frac{6\cdot7}{2}[/tex]Simplify. You get: [tex]\frac{42}{2} = 21[/tex]Next Multiply this by 4 to find out the total area of all the triangular faces.21 x 4 = 84Now find the area of the square. The formula for the area of a square is [tex]s^2[/tex] where s is the given value of a side.

Plug in your value, [tex]6^2=36[/tex]

36+84=120.

120 is your final answer.

hope this helped

peace ✌


Related Questions

What does 8 mean in math?

Answers

The number 8 (eight) is represented by a number and numeral.

It is the natural number that follows seven and precedes nine. Given that it is an integer and a cardinal number, it can be counted. It is distinguished from imaginary numbers by being categorised as a real number.

Eight is a composite number, and its proper divisors are 1, 2, and 4. Eight can be written as 23, which when said aloud sounds like two cubed. It has a 7 aliquot total. All powers of two add up to an aliquot that is one less than their own.

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which value in the set {5,6,7,8,9} is a solution of the equation 21 - f = 13? Show your work.

Answers

Answer:

f=8

Step-by-step explanation:

Other way is to rest 21 by 13 that will give you 8.

Are machines faster and better at calculating a math equation than mans?

Answers

Answer:

MIT economics professor Richard Bookstaber put it simply in his book “The End of Theory”: “No man is better than a machine, and no machine is better than a man with a machine.” ... Humans are too emotion-driven and susceptible cognitive biases, while machines lack an understanding of human thinking.

Answer:

yesThe Liverpool researchers estimate that the robot is able to work 1,000 times faster than a human scientist, and highlight that it is “unlikely a human researcher would have persevered with this multivariate experiment using manual approaches given that it might have taken 50 experiments or 25 days

is triangle ABC similar to CDE?​

Answers

Answer:Yes

?=6



Step-by-step explanation:

they sare the same angle 55 and angle

Answer:

Triangle ABC is similar to triangle CDE

?=8

Step-by-step explanation:

We can set up a proportion: x/12=8/12. We can use cross multiplication to get 12x=96 which would x=8.

The triangles are similar since both of them have 55 degrees as one of the angle measures.

help anyone or somebody please o^o

Answers

it might be 27:) not sure tho

Answer:

27 degrees

Step-by-step explanation:

Sum of angles in a triangle is 180 degrees.

x + 40 + 113 = 180

x + 153 = 180

x = 180 - 153

x = 27 degrees

Anna's hair has grown
2
3
of an inch in the 6 weeks since her last haircut. How fast does her hair grow?

Answers

Her hair grows 1/9th of an inch. Hope this helped you

Answer:

Her hair grows 1/9th of an inch. Hope this helped you

Step-by-step explanation:

Ason is organizing the silverware drawer. He has 8 spoons. There are twice as many forks as spoons. There are 34 as many knives as forks. How many knives does Jason have

Answers

The result of two Newton's technique iterations to approximation a function's zero using the provided starting guess is 1.5262!

What is a formula that is iterative?

Iteration describes carrying out a process repeatedly. To get a new value, start with an initial value and enter it into the iteration formula. To solve an equation using iteration, apply the new value for the subsequent substitution after that, and so on.

By Newton's Method, we have new guess of a zero of a function that are f(x), xn+1, and by using the previous guess, xn, like so-

xn+1 = xn - f(xn)/f'(xn)

and herethe case is [tex]f(x) = cos(x), and so f'(x) = -sin(x).[/tex]

Also, furthermore, [tex]cos(x)/(-sin(x)) = -cot(x).[/tex]

here, we have to simplify the formula to get a better guess for a zero to: xn+1 = xn + cot(xn)

[tex]x1 = 0.6, so x2 = 0.6 + cot(0.6) = 2.06170...\\And x3 = 2.06170... + cot(2.06170...) = 1.52615...\\Ans = 1.5262![/tex]

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What is the perimeter?
Help plz...
And No links!! I repeat No links!!

Answers

12

The Pythagorean Theorem makes the unknown side equal to four therefore 4+3+5 equals 12 which is your perimeter

Answer:

b=4

perimeter=12

Step-by-step explanation:

frist find b by using pythagory theorm

the a+b+c=perimeter

Which ordered pair is not a solution to the inequality 2x+4y<9

Answers

Answer:

2x+4y,9

Step-by-step explanation:

Which expression can be used to determine the total weight of a box that by itself weighs 0. 3 kilogram and contains p plaques that weigh 3. 2 kilograms each?​

Answers

The expression is t = 0.3 + 3.2p, where t is the box's overall weight and p is the number of plaques it contains.

Let's review the data given to us to properly respond to the question:

Weight of a box by itself = 0.3 kg

Weight of a plaque = 3.2 kg

The expression can be used to determine the total weight of the box :

We shall use the following phrase to respond to the query:

Total weight of the box in kg = t

Number of plaques inside the box = p

Hence, the expression t = 0.3 + 3.2p

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need help asap!!!! will give brainliest!

Answers

Answer:

Y = 3 [tex]\sqrt{2}/2[/tex] And x = 3

Step-by-step explanation:

Because this is a 45 to 45 degree triangle, the 3 * (square root of 2 )/2 is y as well. Because this is a 45-45 triangle, x should be y (Square root of 2). Therefore, replacing y with 3 * (square root of 2 )/2 and multiply the square root of 2, the answer for x is 3. If I got something wrong please tell me, thanks.

What is the axis of symmetry of the function f x =-( x 9 )( x 21?

Answers

The axis of symmetry of the function f(x) = -( x 9 )( x 21) is x = 15.

The axis of symmetry of a parabola is a line that divides the parabola into two exact mirror images. In this case, the parabola is defined by the quadratic function f(x) = -(x-9)(x-21). To find the axis of symmetry, we can take the average of the x-coordinates of the two solutions, which are 9 and 21. The average of 9 and 21 is 15, so the axis of symmetry is x = 15. This means that the parabola is symmetrical about the line x = 15, and the vertex of the parabola is located at the point (15,0).

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Solve the quadratic by factoring. 3x^{2}+7=-8x+3 3x 2 +7=−8x+3

Answers

The roots of the given quadratic equation are x = -2/3 and x = -2.

What is a quadratic equation?

A quadratic equation is a equation that is of the form -

y = f{x} = ax² + bx + c

Given is a quadratic equation as follows -

3x² + 7 = - 8x + 3

The given quadratic equations are -

3x² + 7 = - 8x + 3

3x² + 8x = 3 - 7

3x² + 8x + 4 = 0

(x + 2/3)(x + 2) = 0

(x + 2/3) = 0   and   (x + 2) = 0

x = -2/3   and   x = -2    

Therefore, the roots of the given quadratic equation are x = -2/3 and x = -2.

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Find the volume of each figure. Round to the nearest hundredth when necessary.

Answers

Where is the question???

what is 1 half of 2 thirds

Answers

Answer: + 1/3 or 0.3333333
Explanation: first you multiply 1/2 and 2/3 which is 1.2/2.3 which =2/6 =1.2/3.2=1/3

If it takes 10 hours to travel from North Carolina to Florida driving an
average speed of 60 mph, how long will it take to travel from North
Carolina to Florida driving an average speed of 70 mph?

Is it direct variation or indirect variation?

Answers

Answer:

8.5 hrs? direct variation

Step-by-step explanation:

60 per hour is 600 for 10 hours so 70 per hour to go 600 miles is 8.57142857143 in the calculator

600/60 =10

600/70 = 8.5

and its direct variation because on a graph 8.5 8.5 squares up for ever 1 square going over every time and the graph does curve but I haven't learned this stuff in years so I'm not 100% sure

How do you plot a graph step by step?

Answers

Plotting a graph step by step is mentioned below.

Define Graph.

In math, a graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. The points on the graph often represent the relationship between two or more things.

What is Bar graph?

Using rectangular bars with heights or lengths proportionate to the values they represent, a bar chart or bar graph displays categorical data. Both a vertical and a horizontal bar plot are possible. A column chart is another name for a vertical bar graph.

There are a few steps to follow when plotting a graph:

Identify the variables in the problem and choose which one to plot on the x-axis and which one to plot on the y-axis.Determine the range of values for each variable. This will help you decide how big to make the scales on the x and y-axis.Choose a scale for each axis. The scale should be such that all the points in the problem can be plotted on the graph. A typical scale is to have equal intervals between each tick mark on the axis.Plot the points on the graph by locating their x-coordinate and y-coordinate on the x-axis and y-axis, respectively, and connecting them with a dot.Draw the x- and y-axes and label them with the appropriate units and ranges. Be sure to include a label on the graph itself so that it's clear what the graph represents.Plot any lines or curves that are also a part of the problem. This could be a line of best fit, a linear regression line, a polynomial function or any other lines or curves that the problem calls for.Once you finished with the line/curve, it is a good practice to give the graph a title and to label the axis with the units used.Lastly, review the graph and ensure that it is accurate and clearly presents the information from the problem.

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i need help plz and thanks

Answers

Answer:

[tex]\pi{r}^{2} [/tex]

[tex]\pi {(13.5)}^{2} [/tex]

27 is the diameter so u divide it by 2 to get the radius which is 13.5

equals 572.56

In 2010, the population of a city was 191,000. From 2010 to 2015, the population grew by 3.9%. From 2015 to 2020, it fell by 3.3%. To the nearest 100 people, what was the population in 2020?

Answers

Answer:

The population by 2020 is 191,900

Step-by-step explanation:

Given that;

population 2010 (population in 2010): 191000

the population grew from 2010 to 2015: by 3.9%

so, population by 2015 = [tex]191000(1 + \frac{3.9}{100})[/tex]

                                      = [tex]191000(1 + 0.039)[/tex]

                                      = [tex]191000(1.039)[/tex]

                                      = [tex]198449[/tex]

the population drop from 2015 to 2020: 3.3%

so, population by 2015 = [tex]198449(1 - \frac{3.3}{100})[/tex]

                                      = [tex]198449(1 - 0.033)[/tex]

                                      = [tex]198449(0.967)[/tex]

                                      = [tex]191,900.183[/tex]

What are the values of trigonometric ratios?

Answers

three main trigonometry ratios are sin ,cos and tan.

1- Sine or sin θ = perpendicular / Hypotenuse .

2- Cosines or cos θ = base of triangle / Hypotenuse .

3- Tangent or tan θ = perpendicular of triangle / base of triangle.

Trigonometry

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Trigonometric values are based on the angle theta and the values of the sides of triangle in which the theta angle is made.

for example - value of sin theta is equal to the side opposite to the theta angle divided by hypotenuse of the triangle and we will get the values of the sin trigonometric ratio.

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HELP HELP HELP I NEED HELP ASAP
How Do I answer this question

Answers

Answer:

You say help is no more

Step-by-step explanation:

There is no question

A solid metal sphere with diameter 6cm needs to be covered with a protective
material which costs £0.25 per cm2.
How much will it cost to cover the sphere with the material?
Give your answer rounded to 2 DP.

Answers

Answer:

It will cost: £28.28

Step-by-step explanation:

Area of sphere = 4 x π x r2

Area of Circle = 4 x π x 3^2 = 113.097 (radius is half of diameter)

113.097 / 0.25 = 28.28

Identify the function that is exponential

Answers

Answer:

d. y=-3(0.5)^x

Step-by-step explanation:

since all other functions are ^ of a number, whereas the odd one out is d with an x as an exponent

therefore y = -3(0.5)^x is exponential

hope this helps:)

Elijah currently owes a total of $1,649.70 on his revolving credit accounts. What is Elijah's debt-to-credit ratio if the total of his revolving credit limits is $6,345.00? Round the final answer to the nearest whole percent.

a
26%

b
38%

c
41%

d
50%

Answers

a. 26%

sorry if wrong...

Elijah's debt-to-credit ratio is calculated by dividing his total debt by his total credit limits. In this case, the ratio is $1,649.70 / $6,345.00 = 0.2609, or about 26%. The answer is therefore (a) 26%.

What is the largest prime factor of 999?

Answers

Answer:

37

Hope this helps :)

What is the value of x in this equation?

−4x+8=42

Answers

Answer:

x = -8.5

Step-by-step explanation:

-4x+8=42

first subtract both sides by 8

-4x = 34

divide both sides by negative 4

x = -8.5

X=-8.5

-4x+8=42
-8. -8
-4x=34
~. ~
4. 4

X=-8.5

guess what answer correcly its a classic ill give you brailynes

Answers

Answer:

Um.. Hello there. You haven't added any links to this post so we cannot see what the question was. Sorry to bother you!

Let f be a polynomial with integer coefficients, of degree n>1. What is the maximal number of consecutive integers belonging to the sequence f(1),f(2),f(3),...

Answers

The maximal number of consecutive integers by using the expression [tex]2*sqrt(n*|a|).[/tex]

Let f(x) = ax^n + bx^{n-1} + ... + z be a polynomial with integer coefficients and degree n>1. According to the theorem of Tchebychev, the maximal number of consecutive integers belonging to the sequence f(1),f(2),f(3),... is bounded by the expression 2*sqrt(n*|a|), where a is the coefficient of the highest degree term of f(x).

For example, let f(x) = 3x^3 + 4x^2 - 5. The coefficient of the highest degree term is 3, and the degree of the polynomial is 3. Therefore, the maximal number of consecutive integers belonging to the sequence f(1),f(2),f(3),... is 2*sqrt(3*|3|) = 6.

To calculate this maximal number, we can follow these steps:

Identify the degree of the polynomial, n.

Identify the coefficient of the highest degree term, a.

Calculate the maximal number of consecutive integers by using the expression 2*sqrt(n*|a|).

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Helpppp i don’t get this




Find the length of the third side. If necessary, round to the nearest tenth. 8 16 it’s on a triangle

Answers

Answer:

13.9

Step-by-step explanation:

Let the missing side be x.

Use Pythagorean:

x² + 8² = 16²x² = 256 - 64x² = 192x = √192x = 13.9 (rounded to the nearest tenth)

NEED ANSWER ASAP GIVING 15 PTS!!! TEST DUE IN 5 MINS!!!
Given the rule y=12x−4 complete the table below.

Answers

Answer:

(-4,-52)

(1/12,-3)

(1/3,0)

(0,-4)

(3,32)

Step-by-step explanation

i think thats right

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