The perimeter of the base of the regular quadrilateral pyramid is P = 30 cm. Find the sum of all edges of this pyramid, if the perimeter of a lateral face is 27.5 cm

Answers

Answer 1

The perimeters of two opposite triangular faces includes all 4 slant edges and 2 of 4 base edges. The other two base edges are half the base perimeter, so the total length of all edges is
.. 2*(27.5 cm) +(1/2)*(30 cm) = 70 cm

Answer 2

Final answer:

The sum of all edges of the regular quadrilateral pyramid depends on the length of the base edges and the height of the pyramid.

Explanation:

To find the sum of all edges of the regular quadrilateral pyramid, we need to find the length of the edges. Let's denote the length of the edge of the base by 'a'. Since the base of the pyramid is a regular quadrilateral, all its sides are equal. Therefore, the perimeter of the base is given by P = 4a = 30 cm.

Dividing both sides of the equation by 4, we get a = 7.5 cm.

Since the perimeter of a lateral face is 27.5 cm, the length of each lateral edge is equal to the height of the pyramid. Therefore, the sum of all edges of the pyramid is 4a + 4h, where 'h' is the height of the pyramid.

So, the sum of all edges is 4(7.5 cm) + 4h = 30 cm + 4h.

Related Questions

PLEASE NEED HELP WITH A-D

Answers

a.
4(d+3c)

b.
6(3x+5y)

c.
7(3a+4y)

d.
8(3f + 7g)

Hello there! I can help you! For this question, we write this in distributive property by finding the GCF of both terms. As far as we see for all 4 of them, there are no like variables, and we find the GCF, just like we would for constants. When you find the GCF, be sure to divide each terms by the GCF, and then place the GCF outside the parenthesis. If you solve this correctly, here are your answers:

a. 4(a + 3e)

b. 6(3x + 5y)

c. 7(3a + 4y)

d. 8(3f + 7g)

Simplify each expression. Select the correct answer from the drop-down menu.

−6(3i)(−2i) =

2(3 − i)(−2 + 4i) =

Answers

-6(3i)(-2i)= -36

2(3-I)(-2+4i)= -4 + 28i

the answer is:

−6(3i)(−2i) = -36

2(3 − i)(−2 + 4i) = -4+28i

2i(4 − 5i) = 10+8i

hope this helps! :o)

You and your friend are standing back to back. Your friend runs 20 feet forward and then 15 feet right. At the same time, you run 12 feet forward and then 9 feet right. You stop and throw a baseball to your friend, who catches it. How far did you throw the baseball

Answers

I think its 32 because he runs 20 you run 12 you ran right no forward or backward. hope this helps good luck

PLEASE HELP!!!! SOLVE: |2x+1|+|3x−4|=5

Answers

i have no idea what the lines mean :(

2x+1+3x-4=5
5x-3=5 Group like terms
5x=8 Add 3 to the end to isolate x
x=1.6 Divide 8 by 5
Hope this helped

[tex](4y + 4x) = [/tex]
What is the sum of y and x

Answers

Simplifying
4x + 4y = 0

Solving
4x + 4y = 0

Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.

Add '-4y' to each side of the equation.
4x + 4y + -4y = 0 + -4y

Combine like terms:
4y + -4y = 0
4x + 0 = 0 + -4y
4x = 0 + -4y

Remove the zero:
4x = -4y

Divide each side by '4'.
x = -1y

Simplifying
x = -1y

-(m-6)=3m+14 what is m

Answers

the answer is
[tex] - m + 6 = 3m + 14[/tex]
[tex] - 4m = 8[/tex]
[tex]m = - 2[/tex]

In a dog show, there will be a gold, a silver, and a bronze medal awarded. There are
5 finalists. In how many different ways can the 3 medals be awarded?

Answers

Answer
60 ways

Explanation
In permutation the order really matters unlike combination where order does not matter.
The question wants you to find how many time you can choose 3 out of 5 with order.
This means we should find 5 permutation 3.

5P3=5!/3!
=(5×4×3×2×1)/(3×2×1)=5×4
=60

Answer:

60 ways

Step-by-step explanation:

There are five finalist and 3 medals.

For getting the first medal, there are 5 choices, any of the finalist can get that.

For getting the second medal, we are left with 4 choices.

For getting the third medal we are left with 3 choices.

Hence, the number of ways 3 medals can be awarded are:

5×4×3=60 ways

The area of a rectangular knitted blanket is 15x2-14x-8. What are the possible dimensions of the blanket? Use factoring.

Answers

The answer for that equation would be 2-5x and 3x +4

Final answer:

The area of a rectangular blanket is 15x² - 14x - 8, and by factoring this expression, we find the possible dimensions to be (5x + 2) units by (3x - 4) units. The variable x represents a dimension and must be a positive value so that the actual dimensions are also positive.

Explanation:

The student is asking about the possible dimensions of a rectangular knitted blanket whose area is given by the polynomial 15x² - 14x - 8. To find the dimensions of the blanket, we need to factor this quadratic expression. Factoring is the process of breaking down a complex expression into simpler ones that, when multiplied together, give the original expression.

Let's factor the given expression:

Find two numbers whose product is 15 (coefficient of x²) multiplied by -8 (constant term) and whose sum is -14 (coefficient of x). These numbers are -20 and +6.Rewrite the middle term (-14x) using the numbers found: 15x² - 20x + 6x - 8.Factor by grouping: (15x² - 20x) + (6x - 8) = 5x(3x - 4) + 2(3x - 4).The expression can now be factored as (5x + 2)(3x - 4).

The factored form suggests that the rectangle's dimensions could be (5x + 2) units by (3x - 4) units, where x is a variable representing one of the dimensions. However, since the values of x need to make physical sense in the context of a blanket's size, x will need to be a positive value such that (5x + 2) and (3x - 4) are also positive.

an art easel with equal sides are opened and placed on a desk, classify the type of triangle formed by the easel and the desk

Answers

It would be an isosceles triangle, an easy way to remember this is to think of an ice cream cone (ISO ICE word play helps) because an ice cream cone has two long sides and one short one.

Bill says that he can add 23 and 40 without regrouping. Is bill correct? How do you know?

Answers

He can because you can add it mentally. You can just have 23 in your head and count by adding 10 "4" times.

Hope this helped☺☺

Yes because 23+40 equals to 63 without any twist or turns, it is a simple answer

Jeremiah built a box that was 5 inches long by 6 inches wide by 7 inches high .he started filling it up with 1 cube.he realized quickly that he did not have nearly enough cubes to fill the box .can he still figure out how many cubes it will hold?

Answers

To determine the number of cubes he needs to fill the box (this is assuming the cubes are 1 in cubes, he would need to calculate the volume of the box. To find the volume he would multiply the length by the width by the height. This would be 5 in x 6 in x 7 in. The volume is 210 cubic inches, so he could fill it with 210 one inch cubes.

A three dimensional object was sliced parallel to its base and the result was a triangular cross-section.The same shape resulted from slicing the object perpendicular to its base.What three dimensional object fits this description?

Answers

Answer:

The answer is below!

Step-by-step explanation:

Final answer:

A cone is the three-dimensional shape that gives a triangular cross-section when sliced either parallel or perpendicular to its base.

Explanation:

The three-dimensional shape that fits the description of producing a triangular cross-section when sliced both parallel and perpendicular to its base is a cone.

A cone is a solid that has a circular base and a single vertex. When a cone is sliced parallel to its base, the cross-section is a circle. When a cone is sliced perpendicular to its base, the cross-section is a triangle, specifically a right triangle. The right triangle results from the slice passing through the vertex and the base of the cone.

Learn more about Cone here:

https://brainly.com/question/10670510

#SPJ11

What is the area of the triangle in this coordinate plane? 9.0 units² 14.0 units² 16.5 units² 24.5 units² A graph with a triangle drawn on it

Answers

I took the test, the correct answer is 16.5 units²

Tony Hawk was the first skateboarder to do a “900,” a rotation of 900°. How many times did he rotate on the skateboard? times 8. Each arm of this pinwheel is the image of another arm rotated

Answers

1 complete circle = 360 degrees

900 / 360 = 2.5 rotations

900 / 360 = 2.5 rotations

What is the value of G in the center and how do you solve it?

Answers

first solve:
7 + 3c = -11 --> c = -6
-9 - a/4 = 5 --> a = -56
b/5 +9 = 6 --> b = 75

second, solve:
a/f = -7 --> substitute -56 in for a --> -56/f = -7 --> f = 8
b/e = 3 --> substitute 75 in for b --> 75/e = 3 --> e = 25
3 = c/d --> substitutie -6 in for c --> 3 = -6/d --> d = -2

third solve:
g = d+e+f --> substitute -2 in for d, 25 in for e, and 8 in for f.
g = -2 + 25+8
g = 31

Lets find out d first:

3 = c/d => d = c/3

7+3c = -11 => 3c = -11 - 7 => 3c = -18 => c = -18/3 => c = -6.

Now d = c/3 => d = -6/3 => d = -2.

Lets now find out e:

b/e = 3 => e = b/3

b/5 + 9 = 6 => b = (6-9)*5 => b = -15

Now e = b/3 => e = -15/3 = -5

Now we need to find f:

a/f = -7 => f = a/-7

-9 - a/4 =5 => a= (-9-5)*4 = -56

Now f = a/-7 => f = -56 / -7 = 8

So g = d + e + f
= (-2) + (-5) + 8
= 1
Therefore g = 1

if side a=22.3 and angle b=47 ,find c.
A.24.6
B.25.1
C.31.5
D. 32.9

Answers

Answer:

D. 32.9

Step-by-step explanation:

write the equation of the parabola below

Answers

Answer:
Equation is: y = 0.5x² + 0.5x - 3

Explanation:
general form of the parabola is:
y = ax² + bx + c

Now, we will need to solve for a, b and c.
To do this, we will simply get points from the graph, substitute in the general equation and solve for the missing coefficients.

First point that we will use is (0,-3).
y = y = ax² + bx + c
-3 = a(0)² + b(0) + c
c = -3

The equation now becomes:
y = ax² + bx - 3

The second point that we will use is (2,0):
y = ax² + bx - 3
0 = a(2)² + b(2) - 3
0 = 4a + 2b -3
4a + 2b = 3
This means that:
2b = 3 - 4a
b = 1.5 - 2a ...........> I

The third point that we will use is (-3,0):
y = ax² + bx - 3
0 = a(-3)² + b(-3) - 3
0 = 9a - 3b - 3
9a - 3b = 3 ...........> II

Substitute with I in II and solve for a as follows:
9a - 3b = 3
9a - 3(1.5 - 2a) = 3
9a - 4.5 + 6a = 3
15a = 7.5
a = 7.5 / 15
a = 0.5

Substitute with the value of a in equation I to get b as follows:
b = 1.5 - 2a
b = 1.5 - 2(0.5)
b = 0.5

Substitute with a and b in the equation as follows:
y = 0.5x² + 0.5x - 3

Hope this helps :)

A bag of fruit contains 3 apples, 2 oranges, 1 banana and 4 pears. What is the probability that I will pull out a banana first and a pear second?

Answers

1/2 if simplified. If you don't want it's simplified then it's 5/10

The probability of pulling out a banana is 1 out of 10 (which is not high) and of choosing a pear second is 4 out of 10 (which is higher)

round 49,953 to the nearest hundred

Answers

The correct answer is 50,000

49,953 to the nearest hundred would be 50,00. This would be because the 9 would round to 10 and since 10 ins't a one digit number the number becomes 50,000.

Evaluate. 6+5|4-3^2| A. -19 C. 31 D. 55

Answers

Answer:

6 + 5|4 - 3²| =

6 + 5|4 - 9| =

6 + 5|-5| =

6 + 5(5) =

6 + 25 = 31

The correct answer is C.

A cake recipe requires 1 2/3 cups of milk how many cups altogether are necessary to make 4 cakes

Answers

For four cakes you would need to multiply 4 times 1 2/3 which equals
6 and 2/3

1 2/3*4=

5/3*4=

20/3=

6 2/3.

Hope this helped☺☺

Pls help me lots of points

Answers

3 Treats total: 2 m&ms and 1 hershey's bar

Answer:

2 m&ms and 1 hershey's bar

Step-by-step explanation:

Two sides of a triangle measure 20 cm and 30cm. What is the third side?

Answers

Hi there!

It depends on what angles there are, and how many degrees are in each angle. In order to figure this problem out, you need to know at least one angle ;)

Hope this helps!

I think the measure of the third side is 11 cm.

Hope this helped☺☺

Write an equition that expresses y in terms of x

Answers

y = 5x + 2

y on the left side is expressed in terms of x on the right side.

Going against the current, a boat takes 7 hours to make a 120 mile trip. When the boat travels with the current on the return trip, it takes 4.5 hours. If x is the speed of the boat is still water and y is the speed of the current, which of the following system of equations could be used to solve the problem?

Answers

The system of equations that could be used to solve the problem is 7(x - y) = 120; 4.5(x + y) = 120. option A

which of the following system of equations could be used to solve the problem?

x is the speed of the boat is still water

y is the speed of the current

7(x - y) = 120

4.5(x + y) = 120

Therefore, the system of equation can be rewritten as;

7x - 7y = 120

4.5x + 4.5y = 120

Complete question:

A. 7(x - y) = 120; 4.5(x + y) = 120

B. 7(x + y) = 120; 4.5(x + y) = 120

C. 7(x - y) = 120; 4.5(x - y) = 120

D. 7(x + y) = 120; 4.5(x + y) = 120

PLZ HELP!
at the apple orchard workers were asked to put 100 apples in barrels. the following five were filled incorrectly. if the supervisor wrote +5 above a barrel, it meant that the barrel was 5 apples over, -5 meant that a barrel was 5 apples less than 100.
How many TOTAL apples are i the five barrels?
a -480 apples
b 498 apples
c 500 apples
d 520 apples

Answers

B.) four hundred ninety-eight, You would add the number of mistakes in the barrels, then subtract that from five hundred.

A function is a relationship that maps__.
A) many inputs to many outputs or one input to one output
B) many inputs to many outputs or many inputs to one output
C) one input to many outputs or one input to one output
D) one input to one output or many inputs to one output

Answers

Solution:

A function is always a relation but a relation is not always a fucntion.

For example

we can make a realtion of student roll number and their marks obtained in mathematics.

So we can have pairs like (a,b), (c,d)..etc.

Its a realtion but it may not be function. Because function follows that for same input there should not be diffrent output, aslo there could be many inputs to one output in the case of constant function . But this doesn't holds a necessary condition in case of relation.

Because two diffrent students with two diffrent Roll number may have same marks.

Hence the foolowing options holds True in case of a function.

A) many inputs to many outputs or one input to one output.

D) one input to one output or many inputs to one output.

Answer:

The correct answer is D. A function is when an input has one output. An input can only have one output but an output can have multiple inputs. Hope this helps!

What situation could this diagram represent?

Answers

Answer: B- Flipping two coins once

Step-by-step explanation:

B. Tossing Two Coins Once

I Got it Right i Promise

What is the volume of this right triangular prism?

A.)144.2 cm3
B.)164.8 cm3
C.) 288.4 cm3
D.) 1153.6 cm3

Answers

You’re answer is B, you just have to multiply all of the sides together and then add your sums.

Hope this helps:)

The volume =0.5* Length * width * height
= 0.5* 7 *4* 10.3 =144.2 cm3

If a(x) is a polynomial function and b(x) is a polynomial function, then which of the following could be the sum of a(x) + b(x)?

A. ex + 2
B. x2 + 2x − log(x)
C. x6 − x4 + 9x
D. 5x² − 3x

Answers

The sum of two polynomial functions will also be a polynomial function. The exponents of the variables in the polynomial function are non-negative integers. Option A is an exponential function. Option B is a logarithmic function.

The formatting is not proper in the options C and D. Only 1 option can be the correct answer.

If the options are:

[tex]C) x^{6} - x^{4} +9x \\ \\ D) 5x^{2} -3^{x} [/tex]

Then option C would be the correct answer as in option D variable is in the exponent which is against the definition of polynomial function.

If the options are:

[tex]C) x^{6} - x^{4} +9^{x} \\ \\ D) 5x^{2} -3x[/tex]

Then option D would be the correct answer as in option C variable is in the exponent which is against the definition of polynomial function.

Answer:
Options C and D are correct

Explanation:
We are given that both functions a(x) and b(x) are polynomial.
This means that adding them will also produce a polynomial function
polynomial a(x) + polynomial b(x) = polynomial c(x)

Now, let's check the given options:
Option A:
e² + 2
This is a exponential function. An exponential function is not a polynomial. Therefore, this option is incorrect

Option B:
x² + 2x - log(x)
This is a logarithmic function. A logarithmic function is not a polynomila.
Therefore, this option is incorrect

Option C:
x⁶ - x⁴ + 9x
This is a polynomial of the 6th degree.
Therefore, this option is correct

Option D:
5x² - 3x
This is a polynomial of the second degree.
Therefore, this option is correct

Based on the above, options C and D are both correct options

Hope this helps :)

Other Questions

What is the main purpose of interest groups? A. To influence the news mediaB. To influence public policyC. To expand constitution rightsD. To support political parties( I believe it is B) i only have 3 questions left for this, please help!!!!QUESTION 3Daughter atoms X and Y are formed from the fission of atom Z. Which of the following statements is true about X and Y?The combined atomic mass of X and Y will be greater than the mass of atom Z.The mass of element X will always equal the exact atomic mass of Z.High temperatures are required to make atoms X and Y.Atoms X and Y will have a smaller atomic mass than atom Z.QUESTION 7What is the type of material needed in nuclear power plants?combustiblestablefissilelow mass3 points QUESTION 8Which of the following are properties of nuclear fission?The energy produced is controllable.It is the source of the suns energy.The reaction requires high temperature conditions.It is used in nuclear power plants.It is used in nuclear power plants. Before creating your own customized template, you should A. consider whether you know other people who would use it. B. perform a search to make sure it does not already exist. C. close all Microsoft programs. D. collapse the ribbons to make a larger work area. What are the differences between the pubertal growth of girls and boys? select all that apply? How to solve: \frac{1}{y^{\frac{2}{5}}} ? What theme is suggested by the excerpt? Calculate the number of joules released when 72.5 grams of water at 95.0 degrees Celsius cools to a final temperature of 28.0 degrees Celsius. A four sided sandbox has exactly two right angles side lengths 5ft and two side lengths 6ft what shape best describes the shape of the sandbox Find the slope and the y-intercept in this equation: 3y+6=-2x What was the major motivation behind the actions of President Trumans loyalty boards and those of the House Un-American Activities Committee? a desire to bring qualified people into positions of power an attempt to decrease the reach of the government a fear of the spreading influence of the Soviet Union an effort to strengthen the American economy Which of the following sentences demonstrates correct pronoun-antecedent agreement? A. When the flute players got on the bus, the director made him or her sit in their seats quietly. B. Larry and Ryan worked together to make sure that his guitars played the notes exactly right. C. Erica and I begged our parents to let us go on summer vacation with our cousins this year. D. Each member of the debate team is ready to compete should they be called to do so today. Which of the following are basic needs for animals? A. food, water, sunlight, space, and shelter B. food, water, oxygen, space, and shelter C. water, oxygen, space, shelter and relaxation D. shelter, water, food and protection Kramer Manufacturing would like to purchase a warehouse for $450,000. How much will the monthly payment be if Kramer can finance the warehouse for 10 years at a 4% annual interest rate? The difference of two numbers is 3 and their quotinet is 2 what are the 2 numbers Zakir loans Panji $20,000 for one year at 8% simple interest. Three months later, Zakir sells the note to Ben at a simple discount rate of 7 3/4%. How much does Ben pay for the note? What is 2/5? Please put it in simplest form. The stage of a virus where it is activated to perform the function for which it was intended is referred to as the _________. select one:a. propagation phaseb. triggering phasec. execution phased. none of the above How many positive integers less than 1000 are divisible by exactly one of 7 and 11? Laura bought a square canvas to paint a picture of her cat one side measured 22 centimeters what is tha area of the canvas A box is filled with black (B), white (W), red (R), green (G), and pink (P) phone cases. A phone case is selected at random.What is the sample space for this experiment?S = {B, W, R}S = {B, W, R, G, P}S = {G, P}S = {B, R, G, P}------Twenty-four students took a test. Fourteen students earned an A and 10 students earned a B. A student will be randomly chosen.What is the probability that the student earned an A on the last test?Enter your answer as a fraction, in simplest form, in the box.