Part a
determine the area, in square feet, of one triangular face of the square pyramid. show your work or explain your answer.
part b:
determine the total surface area, in square feet, of the square pyramid. show your work or explain your answer.
Answers
A. The Area of one triangular face would be 320 ft². B. The total surface area, in square feet, of the square pyramid is 2,304 ft².
What is the area of the triangle?The Area of one triangular face can be calculated as;
A = area of triangle = ½ x b x h
Where,
b = 32 ft
h = 20 ft
A = ½ x 32 x 20 = 16 x 20
A = 320 ft²
Area of 1 triangular face = 320 ft²
B.
Total surface area = area of the 4 triangular faces + area of the base of the square pyramid
T.S.A = 4(320) + (s²)
Where,
s = 32 ft
T.S.A = 4(320) + (32²)
T.S.A = 1,280 + 1,024
= 2,304 ft²
A. The Area of one triangular face would be 320 ft². B. The total surface area, in square feet, of the square pyramid is 2,304 ft².
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Related Questions
Sarah bought 3 pairs of joggers and a pair of tennis shoes. The tennis shoes cost $105. The total cost of her purchase was $180.
Write and solve an equation to find the cost of each pair of the joggers.
Answers
GIVE ME BRAINLIEST PLEASEEEEEEE
Answer:
$25.00
Step-by-step explanation:
180.00-105.00=75
75.OO DIVIDED 3= $25.00
Austin is working two summer jobs, making $12 per hour washing cars and $13 per hour landscaping. Austin must earn a minimum of $150 this week. Write an inequality that would represent the possible values for the number of hours washing cars, ww w, and the number of hours landscaping, ll l, that Austin can work in a given week.
Answers
Answer:
12w+13l≥150
Step-by-step explanation:
From the information given, the inequality would indicate that the amount Austin receives from washing cars plus the amount he receives from landscaping that are equal to the price per hour of each job for the number of hours would be greater than or equal to $150:
12w+13l≥150
Urgent please help..
Answers
What are the 4 most important parts of a graph?
Answers
The Title, the Legend, the Source, Axis, and the Data are the 4 most important parts of a graph.
The title defines a short explanation of what is in your graph. This helps the reader identify what they are about to look at. It can be creative or simple as long as it tells what is in the graph.
This legend tells us that the line represents the actual amount spent on each child and the line represents the amount spent when adjusted for inflation.
The source explains where you found the information that is in your graph.
The most important part of your graph is the information or data, Line graphs can present more than one group of data at a time. In this graph, two sets of data are presented.
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Which of the following is a solution of x2 + 4x = −8? (1 point)
Answers
There is no solution.
Solve.
please and thank you!
Answers
Answer:
Step-by-step explanation:
2(x+3)/3 + 3(x-6)/2=1-x
2x+6/3 + 3x-18/2=1-x
2(2x+6)/3 + 3(3x-18)=6-6x
4x+12+9x-54=6-6x
13x-49=6-6x
13x+6x=6+42
19x/19=48/19
x=49/19
How do you use theorems about parallelograms to solve problems?
Answers
Theorem 1: In a parallelogram, the opposite sides are of equal length. Theorem 2: If the opposite sides in a quadrilateral are the same length, then the figure is a parallelogram. Theorem 3: A quadrilateral is a parallelogram if and only if the diagonals bisect each other.
°.✩┈┈┈┈∘*┈┈୨♡୧┈┈*∘┈┈┈┈✩.°
A parallelogram has four properties:
─── ･ ｡ﾟ☆: .☽ . :☆ﾟ. ───
Opposite angles are equal.
Opposite sides are equal and parallel.
Diagonals bisect each other.
Sum of any two adjacent angles is 180°
°.✩┈┈┈┈∘*┈┈୨♡୧┈┈*∘┈┈┈┈✩.°
Explanation: A parallelogram must have equivalent opposite interior angles. Additionally, the sum of all four interior angles must equal degrees. Also, the adjacent interior angles must be supplementary angles (sum of degrees).
°.✩┈┈┈┈∘*┈┈୨♡୧┈┈*∘┈┈┈┈✩.°
Properties of Parallelograms Explained
─── ･ ｡ﾟ☆: .☽ . :☆ﾟ. ───
Opposite sides are parallel. ...
Opposite sides are congruent. ...
Opposite angles are congruent. ...
Same-Side interior angles (consecutive angles) are supplementary. ...
Each diagonal of a parallelogram separates it into two congruent triangles. ...
The diagonals of a parallelogram bisect each other.
°.✩┈┈┈┈∘*┈┈୨♡୧┈┈*∘┈┈┈┈✩.°
Hope this helps .+(´^ω^`)+.
a photograph is enlarged into a poster so that the dimensions of the poster are 8 times the dimensions of the photograph. Which statements are true about the perimeter and the area of the poster?
Answers
Answer:
I think that the correct answers are C and D. I have questions. how many answers can I choose? what is the original photograph size? don't choose an answer until I get the information that I need
the answer to this question
Answers
Answer:
positive 1!
Step-by-step explanation:
i got it right on the test trust me!
Help plz. I’ve been stuck for almost a hour
Answers
Answer: x=10 and y=25
Step-by-step explanation:
ok, so since we know straight angles=180 degrees, so since one part=100, the other smaller angle=80. This means that 11x-30=80 and 5y-25=100. 11*10=110, and 110-30=80, so x=10. 5*25=125, and 125-25=100, so y=25. And lol. me too. When I used to do these problems, I was stuck for a very, very long time. Just try to use logic most of the time.
Answer:
y = 25 and x = 10
Step-by-step explanation:
the angles on top and on bottom are equal so...
5y - 25 = 100
5y - 25 + 25 = 100 + 25
5y = 125
5y/5 = 125/5
y = 25
Every line is 180 degrees so we know that if the top and bottom angles are 100 then the other angles need to equal 80
11x - 30 = 80
11x - 30 + 30 = 80 + 30
11x = 110
11x/11 = 110/11
x = 10
State the most specific name for each figure.
7)
Answers
The most specific name for the figure is an isosceles trapezoid
How to state the most specific name for the figure.From the question, we have the following parameters that can be used in our computation:
The figure
The properties of the given figure are
A pair of parallel sidesA pair of non- parallel sides pointing towards different directionsUsing the above as a guide, we have the following:
The figure is a trapezoid
Because the nonparallel sides are congruent, then the most specific name for the figure is an isosceles trapezoid
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Caleb solved this equation and recorded his work.
7.4x + 4.1(2x − 4) = −2.3(x − 6) − 21.6
1. 7.4x + 8.2x − 16.4 = −2.3x + 13.8 − 21.6
2. 15.6x − 16.4 = −2.3x + 35.4
3. 17.9x − 16.4 = 35.4
4. 17.9x = 51.8
5. x ≈ 2.89
When Caleb verified his solution, it didn’t work. What mistake did he make?
In step 1, the distributive property was not used properly on the right side of the equation.
In step 2, the like terms were not combined properly on the right side of the equation.
In step 3, the addition property of equality was not used properly to isolate the variable term.
In step 5, the division property of equality was not used properly to solve for x.
Answers
Answer:
its B
Step-by-step explanation:
edg
Answer:
Step-by-step explanation:
In step 2, the like terms were not combined properly on the right side of the equation. or B
Find the equation of the line pecified. The lope i 7, and it pae through ( 8, 6). A. Y = 7x - 50
b. Y = 14x - 50
c. Y= 7x 6
d. Y = 7x 62
Answers
That the equation of the line is y = 7x - 50.
The equation of a line with slope m passing through the point (x1, y1) is given by: y - y1 = m(x - x1).
In this case, the line has a slope of 7 and passes through (8, 6). Therefore, we can plug in the values for m, x1, and y1 into the equation above to find the desired equation.
Substituting in 7 for m, 8 for x1, and 6 for y1, we can rewrite the equation as: y - 6 = 7(x - 8).
Simplifying, we find that the equation of the line is y = 7x - 50.
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Una caja contiene 3 bolas verdes, 5 bolas rojas y 2 bolas azules. Si se extraen al azar dos bolas sin reposición, ¿cuál es la probabilidad de que la primera sea azul y la segunda sea verde?
Answers
Responder:
1/15
Explicación paso a paso:
Dado que :
Número bolas verdes = 3
Número de bolas rojas = 5
Número de bolas azules = 2
Dibujo sin reemplazo; probabilidad de que el primero sea azul, el segundo sea verde
Probabilidad = resultado requerido / Total de resultados posibles
Resultados posibles totales = 3 + 5 + 2 = 10
P (1er azul) = número de azules / 10
P (1er azul) = 2/10 = 1/5
Sin reemplazo :
Total restante = 10 - 1 = 9
P (segundo verde) = número de verdes / 9 = 3/9
Probabilidad del primer azul y del segundo verde:
1/5 * 3/9 = 3/45 = 1/15
The probability that the first is blue and the second is green is 1/15
Probability is the likelihood or chance that an event will occur.
Probability = Expected outcome/Total outcomeIf a box contains 3 green balls, 5 red balls and 2 blue balls, the total number of balls is 10balls
Total outcome = 10 ballsIf blue is selected at first, the probability of selecting blue is 2/10 = 1/5If green is selected without replacement, the probability of selecting green will be 3/9Pr(selecting red and then green) = 1/5 * 1/3 = 1/15Learn more on probability here: https://brainly.com/question/24756209
a single vector producing the same effect as two separate victors acting on the same point is called the…
Answers
You have ten pigeons. You want to give these pigeons away to some of your friends. The first friend picks a number of pigeons of her choice for herself. After that you give away the remaining pigeons to the rest of your friends. If you give each of them 3 pigeons, 5 are left and if you give each of them 5 pigeons, 3 are left. How many pigeons did your first friend choose for herself?
Answers
Answer:
2
Step-by-step explanation:
Jess exercise 40 minutes every day this week except for 55 minutes on Tuesday and Friday. What is her total exercise time this week?
Answers
Answer:
Jess's total exercise time for the week is 170 minutes.
Step-by-step explanation:
To calculate Jess's total exercise time for the week, we need to sum up the duration of exercise on each day.Exercise time on Monday: 40 minutes
Exercise time on Tuesday: 40 minutes - 55 minutes (skipped) = -15 minutes (skipped)
Exercise time on Wednesday: 40 minutes
Exercise time on Thursday: 40 minutes
Exercise time on Friday: 40 minutes - 55 minutes (skipped) = -15 minutes (skipped)
Exercise time on Saturday: 40 minutes
Exercise time on Sunday: 40 minutesTo calculate the total exercise time, we add up the exercise times for each day:40 + (-15) + 40 + 40 + (-15) + 40 + 40 = 170 minutes
Answer:
310 minutes (or 5 hours 10 minutes)
Step-by-step explanation:
Let's just write everything out:
Sun : 40
Mon : 40
Tues : 55
Weds : 40
Thurs : 40
Fri : 55
Sat : 40
So 5 days x 40 minutes = 200 minutes
And then 2 days x 55 minutes = 110 minutes
200 minutes + 110 minutes = 310 minutes
310 minutes = 310/ (60 min/hr) 5 hours 10 minutes
1. what do you do as a surveyor if one of the measurements taken is drastically different from your other measurements?
Answers
If one of the measurements taken by a surveyor is drastically different from the other measurements, the surveyor should investigate the cause of the discrepancy and determine whether the measurement is accurate or not.
Some possible reasons for a measurement to be drastically different could be errors in equipment, human error, environmental factors, or other sources of interference.
To verify the accuracy of the measurement, the surveyor may take additional measurements and compare them to the initial measurement, or they may use alternative methods to obtain the same measurement. If the measurement is found to be inaccurate, the surveyor may need to recalibrate or replace the equipment, or take steps to eliminate or minimize the sources of interference.
It is important for the surveyor to ensure the accuracy of their measurements to ensure the reliability of their data and the validity of their conclusions.
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Which of the following could be an example of a function with a domain
(-∞0,00) and a range (-∞,4)? Check all that apply.
A. V = -(0.25)* - 4
-
□ B. V = − (0.25)*+4
c. V = (3)* +4
□ D. V = − (3)* — 4
-
Answers
The correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are given below.Option A. V = -(0.25)x - 4 Option B. V = − (0.25)x+4
A function can be defined as a special relation where each input has exactly one output. The set of values that a function takes as input is known as the domain of the function. The set of all output values that are obtained by evaluating a function is known as the range of the function.
From the given options, only option A and option B are the functions that satisfy the condition.Both of the options are linear equations and graph of linear equation is always a straight line. By solving both of the given options, we will get the range as (-∞, 4) and domain as (-∞, 0).Hence, the correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are option A and option B.
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what needs to be known to determine the critical values for an independent-samples t test?
Answers
Total degree of freedom should be known to determine the critical values for an independent sample t test.
The largest number of logically independent values—that is, values with the freedom to change—in the data sample is referred to as the degree of freedom. When calculating degrees of freedom, one is subtracted from the number of items in the data sample.
An independent t-test must be performed, and the following is required: a single categorical variable with two levels and groups that is independent. a single ongoing dependent variable.
For instance, the number of degrees of freedom to be employed in computations would be n - 1 if the sample size on a chi-square test was 'n'. to figure out the degrees of freedom for an N=9 sample size. 9 less 1 equals 8 (df=9-1=8).
Hence we get the required answer.
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The zoom feature on a camera lens allows you dilate what appears on the display. When you change from 100% to 200%, the new image on your screen is an enlargement of the previous image with a scale factor of 2. If the new image is 19 millimeters wide, what was the width of the previous image?
Answers
The width of the previous image was 9.5 millimeters.
If the new image is an enlargement of the previous image with a scale factor of 2, it means that the width of the new image is twice the width of the previous image.
Let's denote the width of the previous image as "x" millimeters.
According to the information given, the width of the new image is 19 millimeters.
Since the new image is an enlargement with a scale factor of 2, we can set up the following equation:
\(2x = 19\)
To find the width of the previous image, we need to solve this equation for "x."
Dividing both sides of the equation by 2, we get:
\(x=\frac{19}{2}\)
\(x = 9.5\)
Therefore, the width of the previous image was 9.5 millimeters.
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carisa and amy went to a restaurant. carisa's meal cost $5.92. amy's meal cost $6.46. they gave the waiter the bills shown above. what change did the waiter give back to them?
Answers
Answer:
54 cents
Step-by-step explanation:
Answer:
54 cents
Step-by-step explanation:
6.46
-5.92
---------
$0.54
A large conference table is made from four rectangular sections and four corner sections.Each rectangular section is 4m long and 1.2m wide.Each corner is a quarter circle, radius 1.2mEach person sitting at the corner table requires one meter of its outside perimeter.Calculate the greatest number of people who can sit around the outside of the table
Answers
Answer:
C) COMPLETE THE SENTENCES WITHOUT CHANGING THE MEANING:
1.- I bought this digital camera because the shop assistant recommended it.
2.- In order to be home by midnight, we should leave the party at 11.30.
3.- Jason didn't go on the trip because he was ill.
4.- Because she practises every day, Emma is an excellent guitar player.
5.- They wanted to go to the shopping centre today, but they had to do homework instead.
6.- The Browns want to buy a new car, but they haven't got enough money.
7.- The runner twisted his ankle because he fell.
8.- Water that reaches a temperature of 0 degrees, freezes.
9.- Diana was late for work because she woke up late.
10. She isn't tall; that's why she can't reach that shelf.
11. They bought the cheapest computer because they didn't have any more money.
12. You eat too many sweets and that's the reason your clothes don't fit.
13. I went to sleep very late last night because I was so excited.
14. I don't know the answer, that's why I can't help you.
GIVING BRAINLIEST!!!!!
Answers
plane PBC is right answer.
it's a logical answer....
Answer:
Plane PBC
Step-by-step explanation:
Plane PBC contains 4 points : P, B, C, and Q.
The question asks which contains all three of C, Q, and P.
The plane is Plane PBCRadius and diameter
How would I do this
Answers
Answer:
16
Step-by-step explanation:
The radius is half the diameter.
2×8=16cm
Answer:
\(16\) cm
Step-by-step explanation:
The length of the diameter is simply twice, or two times as large as, the length of the radius. Therefore, if the length of the radius is \(8\) cm, then the length of the diameter will be \(8*2=16\) cm. Hope this helps!
a region is bounded by two concentric circles, as shown by the shaded region in the figure above. the radius of the outer circle, rr, is increasing at a constant rate of 22 inches per second. the radius of the inner circle, rr, is decreasing at a constant rate of 11 inch per second. what is the rate of change, in square inches per second, of the area of the region at the instant when rr is 44 inches and rr is 33 inches?
Answers
The rate of change, in square inches per second, of the area of the region at the instant when R is 44 inches and r is 33 inches is
8363 square inches
How to find the rate of changeThe rate of change is the derivative, the rate of change is calculated by differentiation the area
formula for area of concentric circle is given by
Area A = π(R^2 - r^2) =
R = radius of the inner circle
r = radius of the outer circle
δA/δt = δA/δRδr * δRδr/δt
δA/δt = π * (2RδR/δt - 2rδr/δt)
δA/δt = π * 2(R * δR/δt - r * δr/δt)
where R = 44 and δR/δt = 22
r = 33 and δr/δt = -11
= 2π(44 * 22 - 33 * -11)
= 2π (968 - -363)
= 2π (1331)
= 2662π
= 8362.9196 square inches
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12.
SOLVE FOR X 36.4
28
-
X
49
Answers
The value of x in the given figures are 2.73 and 6 by using proportional equation.
Let us for x by forming a proportional equation.
36.4/x=28/(49-28)
36.4/x=28/21
Apply cross multiplication:
21×36.4=28x
764.4=28x
Divide both sides by 28:
x=76.4/28
x=2.73
So the value of x is 2.73.
27/21=x-1/x+1
27(x+1)=21(x-1)
27x+27=21x-21
Take the variable terms on one side and constants on other side.
6x=-48
x=8
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A school purchased sand to fill a sandbox on its playground. The dimensions of the sandbox in meters and the total cost of the sand in dollars are known. Which units would be most appropriate to describe the cost of the sand?
Answers
The most appropriate units to describe the cost of the sandbox would indeed be dollars.
When describing the cost of an item or service, it is essential to use the unit that represents the currency being used for the transaction. In this case, the total cost of the sand for the school's sandbox is given in dollars. To maintain consistency and clarity, it is best to express the cost in the same unit it was provided.
Using dollars as the unit for the cost allows for clear communication and understanding among individuals involved in the transaction or discussion. Dollars are widely recognized as the standard unit of currency in many countries, including the United States, where the dollar sign ($) is commonly used to denote monetary values.
Using meters, the unit for measuring the dimensions of the sandbox, to describe the cost would be inappropriate and could lead to confusion or misunderstandings. Mixing units can cause ambiguity and hinder effective communication.
Therefore, it is most appropriate to describe the cost of the sand in dollars, aligning with the unit of currency provided and commonly used in financial transactions. This ensures clarity and facilitates accurate comprehension of the cost associated with the sand purchase for the school's sandbox.
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the value of x varies directly with y and inversely with z. when x=4,and y=12, z=6. what is the value of k?
A. K=6
B. K=2
C. K=18
D. K=288
Answers
Answer:
B
Step-by-step explanation:
Given x varies directly with y and inversely with z then the equation relating them is
x = \(\frac{ky}{z}\) ← k is the constant of variation
To find k use the condition when x = 4 and y = 12, z = 6 , then
4 = \(\frac{12k}{6}\) ( multiply both sides by 6 )
24 = 12k ( divide both sides by 12 )
2 = k → B
The value of the constant 'k' will be 2. Then the correct option is C.
What are ratio and proportion?A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
The value of x varies directly with y and inversely with z. Then the proportionality is written as,
x ∝ y ...1
x ∝ 1 / z ...2
Then the combined proportionality is given as,
x ∝ y / z
x = ky / z
At x = 4, y = 12, and z = 6, then the value of the constant 'k' will be given as,
4 = 12k / 6
Simplify the equation, then the value of the constant 'k' is calculated as,
4 = 12k / 6
4 = 2k
k = 4 / 2
k = 2
The worth of the steady 'k' will be 2. Then, at that point, the right choice is C.
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the volume of a cube is 216ft3. what is the length of a side?
Answers
216cm^2
Volume of cube= 216 ft^3
l^3= 216
l= Cube root of 216
l= 6
SA=6*l^2
=6*6*6
=216 cm^2
Answer:
Z
Step-by-step explanation: