Find the surface area of a square pyramid with side length 5 cm and slant height 4 cm.

Answers

Answer 1

Answer:

h = height

s = slant height

a = side length

P = perimeter of base

e = lateral edge length

r = a/2

V = volume

L = lateral surface area

B = base surface area

A = total surface area

Explanation:

Volume of a square pyramid:

V = (1/3)a2h

Slant Height of a square pyramid:

By the pythagorean theorem we know that

s2 = r2 + h2

since r = a/2

s2 = (1/4)a2 + h2, and

s = √(h2 + (1/4)a2)

This is also the height of a triangle side

Lateral Surface Area of a square pyramid (4 isosceles triangles):

For the isosceles triangle Area = (1/2)Base x Height. Our base is side length a and for this calculation our height for the triangle is slant height s. With 4 sides we need to multiply by 4.

L = 4 x (1/2)as = 2as = 2a√(h2 + (1/4)a2)

Squaring the 2 to get it back inside the radical,

L = a√(a2 + 4h2)

Base Surface Area of a square pyramid (square):

B = a2

Total Surface Area of a square pyramid:

A = L + B = a2 + a√(a2 + 4h2))

A = a(a + √(a2 + 4h2))


Related Questions

Which of these is true about a pH meter?
It is inexpensive to use.
It measures pH indirectly.
It does not require calibration.
It can be used in any acid-base titration.

Answers

Answer:

That is, a pH meter is useful in detecting or knowing the acidity (due to ions) or alkalinity (due to ions) of a solution. Thus, we can conclude that out of the given options it is true about a pH meter that it can be used in any acid-base titration

Answer: D. It can be used in any acid-base titration.

Explanation:

22)When iron rusts in air, iron(III) oxide is produced. How many moles of oxygen will react
with 2.4 mol of iron ?
4Fe(s) + 3O2(g) → 2Fe2O3(s)
A)1.2 mol
B)1.8 mol
C)2.4 mol
D)3.2 mol
E)4.8 mol

show work

Answers

Answer:

B

Explanation:

)When iron rusts in air, iron(III) oxide is produced. How many moles of oxygen will react

with 2.4 mol of iron ?

B)1.8 mol

Which of the following describes the reactants of a chemical reaction?
A. The substances that dissolve
B. The resulting substances
C. The atoms that are rearranged
D. The original substances

Answers

A the substances that dissolve because the substance is the reactant in the chemical reaction

show using dots to illustrate high population density and low population density in the boxes provided in answer to guide questions ​

Answers

Answer:

Just add a plenty of dots in the first one and very few dots in the second one

An area with high population density will have many dots while areas will low population density will have few dots when using dots to illustrate population density.

What is population density?

Population density is the ratio of the total number of organisms found in a given area to the total of the area of that place or habitat.

Population density = total number of organisms/total area

An area with high population density indicates that more organised ate found per unit area than an area with low population density.

Therefore, using dots to illustrate population density, an area with high population density will have plenty dots while areas will low population density will have few dots scattered over.

Learn more about population density at: https://brainly.com/question/13902749

What is Geothermal Energy? ​

Answers

Answer:

Geothermal energy is basically the thermal energy generated and stored in the Earth. It is the energy that determines the temperature of matter.

Explanation:

I hope this helped :)

Answer:

Geothermal energy is heat that's inside of the ground. It is a renewable energy source because heat is constantly being produced inside of the earth.

Explanation:  Hope this helps! :)

what is the slope of the line segment

-3
-1/3
1/3
3​

Answers

Answer:

slope = 3

Explanation:

[tex]slope = \frac{3 - 0}{1 - 0} \\ = 3[/tex]

Describe the four states of matter.

Answers

In a solid, particles are packed tightly together so they don't move much. Solids have a definite shape. In a liquid, the particles are more loosely packed than in a solid and are able to flow around each other, giving the liquid an indefinite shape. In a gas, the particles have a great deal of space between them and have high kinetic energy. A gas has no definite shape or volume. Plasma consists of highly charged particles with extremely high kinetic energy

Calculate the total amount of energy required in calories to convert 50.0 g of ice at 0.00 degrees Celsius to steam at 100. degrees Celsius.
Specific heat capacity of water is 1.00 cal/g OC
Hfusion = 80 cal/g OC and Hvap = 540 cal/g OC
Write the complete equation you will use. 1 point
Substitute the values in the equation in step 1. 1 point
Report the math answer with 3 sig figs and the correct unit. 1 point

Answers

Answer:

HFusion*mass + Spec.Heat*mass*ΔT + HVap*mass

80cal/g*50.0g + 1.00cal/g°C*50.0g*(100°C-0°C) + 540cal/g*50g

3.60x10⁵cal

Explanation:

Using the HFusion we can find the heat needed to convert the ice to liquid water.

With specific heat capacity we can find the heat needed to increase the temperature of water from 0 to 100°C.

With HVap we can find the heat to convert the liquid water into steam.

The equations are:

HFusion*mass + Spec.Heat*mass*ΔT + HVap*mass

Computing the values:

80cal/g*50.0g + 1.00cal/g°C*50.0g*(100°C-0°C) + 540cal/g*50g

36000cal =

3.60x10⁵cal

What plate forms a boundary with the African plate

Answers

Answer:

The Eurasian plate(another major plate), the Aegean sea plate and the Anatolian plate share the north border. The Antarctic plate that contributes to the south of the African plate, is also a major plate.

Elias read a book about California earthquakes. He then wrote a three-
paragraph report about the book. Which of the following active reading
strategies did Elias use?
A. Making mental images
B. Drawing inferences
C. Summarizing
D. Making predictions

Answers

C. Summarizing
He read the book, then summarized what he read in his report.

How does radon move up through rock and soil?

Answers

The gas naturally moves into permeable soil and gravel through cracks, pores, open space, etc.

What is the volume of 2.66 x 10^23 molecules of N2 gas at STP? PLEASE ANSWER WITH WORK! ILL GIVE BRAINLIEST

Answers

Answer:

1100L.

Explanation:

Does a reaction involving an acid and a base have to take place in a water environment? Justify your answer.

Answers

Answer:

YES!!!

Explanation:

Strong acids and strong bases are both strong electrolytes. In contrast, only a fraction of the molecules of weak acids and weak bases react with water to produce ions, so weak acids and weak bases are also weak electrolytes.

What can be found in the Asteroid Belt?

Answers

Answer:

astrioids can be found at the astrioid belt

Answer:

Composition. Most of the asteroids in the Main Belt are made of rock and stone, but a small portion of them contain iron and nickel metals. The remaining asteroids are made up of a mix of these, along with carbon-rich materials. Some of the more distant asteroids tend to contain more ices

A carbon atom that is surrounded by four hydrogen atoms has a _____ molecular geometry. This geometry results from the arrangement of the _____ hybrid orbitals around the carbon atom. They are formed when the s-orbital and ______ -orbitals mix, or hybridize.

Answers

Answer:

Tetrahedral, sp3, p

Explanation:

C has 4 bonds and hence its tetrahedral shape with 109.5 degrees. since there are 4 bonds, it is sp3

Answer:

A carbon atom that is surrounded by four hydrogen atoms has a

✔ tetrahedral

molecular geometry.

This geometry results from the arrangement of the

✔ four sp3

hybrid orbitals around the carbon atom.

They are formed when the s-orbital and

✔ three p

-orbitals mix, or hybridize.

Explanation:

From lithium and cesium which is less electronegative?​

Answers

Answer:Electronegativity, symbolized as χ, is the tendency of an atom to attract shared electrons (or electron density) to itself.    

Explanation:

Answer:

Explanation:

The correct answer is cesium

Because If you look at the electronegativities of just Lithium and Cesium then you would notice that the shielding effect is more prevalent in Cesium, thereby reducing the electronegativity and affecting the reduction potential

Use the equation below to answer the following question
2NaHCO3(aq) + Ca(H2PO4)2 (aq) → Na2HPO4 (aq) + CaHPO4 (aq) + 2002 (8) + 2H20 (0)
The theoretical yield of CHPO, is 10 g. If 8 g of CaHPO4 are produced from the reaction shown above, what is the percent yield of CHPO ?

Answers

Answer:

Percent Yield = 80%

Explanation:

Percent yield of a reaction is defined as one hundred times the ratio between the actual yield and the theoretical yield. That is:

Percent yield = Actual Yield / Theoretical Yield * 100

Where theoretical yield of CaHPO4 is 10g and actual yield is 8g

Replacing:

Percent yield = 8g / 10g * 100

Percent Yield = 80%

The radioisotope radon-222 has a half-life of 3.8 days. How much of a 73.9-g sample of radon- (3 222 would be left after approximately 23 days?​

Answers

Answer:

1.115 g

Explanation:

Applying,

R = R'[tex]2^{n/t}[/tex]................... Equation 1

Where R = original sample of radon-222, R' = sample of radon-222 left after decay, n = Total time, t = half-life.

make R' the subject of the equation

R' = R/([tex]2^{n/t}[/tex])............... Equation 2

From the question,

Given: R = 73.9 g, n = 23 days, t = 3.8 days.

Substitute these values into equation 2

R' = 73.9/([tex]2^{23/3.8}[/tex])

R' = 73.9/[tex]2^{6.05}[/tex]

R' = 1.115 g

Matter takes up _____.
(a) Space and temperature
(b) Space and heat
(c) Space and mass
(d) Heat and temperature

Answers

C. I hope it’s right :)

At STP, what is the volume of 55.0 g of BF3?

Answers

Answer:

The volume of 55 grams of BF₃ is 18.1664 L.

Explanation:

If the molar mass of compound BF₃ is 67.81 [tex]\frac{grams}{mole}[/tex], then the number of moles 55 grams of compound contains is calculated as:

[tex]55 grams* \frac{1 mole}{67.81 grams} = 0.811 moles[/tex]

The STP conditions refer to the standard temperature and pressure. Pressure values at 1 atmosphere and temperature at 0 ° C are used and are reference values for gases. And in these conditions 1 mole of any gas occupies an approximate volume of 22.4 liters.

Then it is possible to apply the following rule of three: if by definition of STP 1 mole of a compound occupies 22.4 L, 0.811 moles of the compound occupies how much volume?

[tex]volume=\frac{0.811 moles* 22.4 L}{1 mole}[/tex]

volume= 18.1664 L

The volume of 55 grams of BF₃ is 18.1664 L.

A dryer uses 4200 W and operates for 2.50 hours in one day, how much energy is used?

Answers

Answer:

37800KJ

Explanation:

How much heat is required to raise the temperature of 16.0 grams H2O from 5.000C to 75.00C? Below is a list of constants.

specific heat for H2O(s) = 2.1 J/g0C

specific heat for H2O(L) = 4.18 J/g0C

specific heat for H2O(g) = 1.7 J/g0C

\bigtriangleup H△Hvap = 40.7 kJ/mol

\bigtriangleup H△Hfus = 6.01 kJ/mol





5.34 J


260 J


4680 J


2350 J

Answers

Answer:

The amount of heat required is 4681.6 J.

Explanation:

mass, m = 16 g = 0.016 kg

initial temperature, T = 5 C

final temperature, T' = 75 C

specific heat, c = 4.18 J/g C

The amount of heat required is

H = m c (T'- T)

H = 16 x 4.18 x (75 - 5)

H = 4681.6 J

7. A sample of methane gas (CH.) with a mass of 58 g is kept in a 1500 mL container at a temperature of 100. °C. What is the pressure of the gas?

Answers

Answer:

c i took the text

Explanation:

how does evelyn hear music?​

Answers

Who even is Evelyn?

A ball falls 5 m and then bounces to a height of 3 m. What height is the best
reference point for the motion of the ball?
A. 2 m
B. Om
C. 5 m
D. 3 m
SUBMIT

Answers

The answer is C 5m. Thanks

How many grams of sodium are needed to produce 12.5g of sodium oxide

Answers

Answer:

25 possibly

Explanation:

I'm not too sure about this, but sodium oxide is Na2O, 2 sodium and 1 oxygen, so 12.5g * 2 is 25

If someone else comes up with a more convincing argument listen to them

what rule/principle states that electrons fill orbitals from lowest energy to highest enegery?​

Answers

Answer:

The Aufbau Principle

Explanation:

In the ground state of an atom or ion, electrons fill atomic orbitals of the lowest available energy level before occupying higher-energy levels.

Answer:

Aufbau principle

Explanation:

edge 2021

an atom of an element is represented as 39/19x, write its
(1) number of protons
(2)number of neutrons
(3)Electric configuration
(4)number of valence electrons

Answers

Answer:

Solution :

Lithium

Z = 3

P = 3

E = 3 = (2, 1) p=3

A = 7 n=4

P + n = A

3 + n = 7

N = 4

Carbon

Z = 6

P = 6

E = 6 = (2, 4) p=6

A = 12 n=6

P + n = A

6 + n = 12

N = 6

Witch two chemists organized the elements based on properties suck as how the elements reacts or whether they are solid or liquid

Answers

Answer:

Antoine Lavoisier and Johann Wolfang Döbereiner organized the elements based on properties such as how the elements reacts or whether they are solid or liquid.

Explanation:

The periodic table of the elements as we have it today was developed as a result of the work of several notable centuries who lived centuries apart, all of who made notable contributions to development of the modern periodic table in use today.

In 1789, Antoine Lavoisier, a French Chemist provided a definition of elemets which he defined as a substance whose smallest units cannot be broken down into a simpler substance. He further grouped the elements into two as metals and nonmetals.

In 1829, German physicist Johann Wolfang Döbereiner arranged elements in groups of three in increasing order of atomic weight and called them triads. His arrangement owasf elements into triads was based on his observation of similarities in physical and chemical properties of certain elements.

John Newlands, a British Chemist was the first to arrange the elements into a periodic table with increasing order of atomic masses.

In 1869, Russian chemist Dmitri Mendeleev developed a periodic table which provided a framework the modern periodic table. He arranged the elements according to their atomic weight, leaving gaps for elements that were yet to be discovered.

The modern periodic table arranges elements based on increasing atomic number.

You will not measure the enthalpy of the reaction of ______ in the coffee cup calorimeter because this reaction involves gases. Instead, you will use a well-known published value.
HCI and MgO
HCI and Mg
H2 and O2

Answers

Answer:

H2 and O2

Explanation:

A coffee cup calorimeter is basically a type of calorimeter that operates at constant pressure. The heat measured in the calorimeter is equal to the change in enthalpy of the reaction.

This type of calorimeter is apt for reactions involving solutions where there is little or no change in volume.

It is not generally applicable to gas phase reactions such as the reaction between H2 and O2.

Answer:

You will not measure the enthalpy of the reaction of

✔ H2 and O2

in the coffee cup calorimeter because this reaction involves gases. Instead, you will use a well-known published value.

C. H2 and O2

Is Correct

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