A square pyramid has 1 square base and 4 triangular faces. Find its surface area. A. The area of the base is ________ square centimeters. B. The area of the four faces is ______ square centimeters. C. The surface area is ___________ square centimeters.
Answers
Answer:
See Explanation
Step-by-step explanation:
I will answer this question with the attached square pyramid
From the attached pyramid, we have:
[tex]Base\ Length = 20m[/tex]
So, the base area is:
[tex]Area = Length * Length[/tex]
[tex]A_1= 20m*20m[/tex]
[tex]A_1= 400m^2[/tex]
The dimension of each of the 4 triangles is:
[tex]Height = 16.4m[/tex]
[tex]Base = 20m[/tex]
So, the area of 4 triangles is:
[tex]Area = 4 * 0.5 * Base * Height[/tex]
[tex]A_2 = 4 * 0.5 * 20m * 16.4m[/tex]
[tex]A_2 = 656m^2[/tex]
So, the surface area is:
[tex]Area = A_1 + A_2[/tex]
[tex]Area = 400m^2 + 656m^2[/tex]
[tex]Area = 1056m^2[/tex]
Related Questions
What is the length of side AB
Answers
Answer:
if two Angles have equal measure then the slide opposite to them equal in the length is 6 units
How much money would produce $70 as simple interest at 3.5% per
annum?
Answers
Answer:
$2000
Step-by-step explanation:
Simple Interest = $70
Rate = 3.5%
Time = 1
Principal = ?
Simple Interest = (Principal × Rate × Time)/100
Principal = (Simple Interest × 100)/(Rate × Time)
Principal = (70 × 100)/(3.5 × 1)
Principal = 7000/3.5
Principal = 14000/7
Principal = 2000
Find m∠MON..........
Answers
LOM + MON = LON in measure, so
9x + 44 + 6x + 3 = 77
15x + 47 = 77
15x = 30
x = 2
MON = 6x + 3
= 6(2) + 3
= 12 + 3 = 15°
After taking part in a competition, Seth received a silver medal with a diameter of 8 inches. What is the medal's circumference?
Use 3.14 for .
Answers
Answer: 25.12 inches
Step-by-step explanation:
C=2πr
8/2=4
2(3.14)(4)
2(12.56)
25.12
Answer:
25.12 inches
Step-by-step explanation:
So, the formula for circumference is πd (or πr² whichever you prefer. We already have the diameter, so we do π x d, which is π x 8 inches, which is equal to 25.12 inches.
This is correct only if you use π as 3.14 hope this helps :)
SURFACE AREA!!
can someone please help me get the answer on these two I’m stuck
Answers
Answer:
96 i think :)
Step-by-step explanation:
15x4=60
6x6=36
60+36=96
Complete the Square of the quadratic equation in standard form: ax2 + bx + c Treat this like a literal equation where you are solving for x by completing the square. To get started, write the equation in the form: x2 + bx = ?
Answers
Answer:
x = [-b ±√(b² - 4ac)]/2a
Step-by-step explanation:
ax² + bx + c = 0
dividing through by a, we have
ax²/a + bx/a + c/a = 0
x² + bx/a + c/a = 0
x² + bx/a = -c/a
we now add th square of half the coefficient of x to both sides, thus
x² + bx/a + (b/2a)² = -c/a + (b/2a)²
simplifying the left hand side and right hand side, we have
(x + b/2a)² = -c/a + b²/4a²
re-arranging, we have
(x + b/2a)² = b²/4a² - c/a
taking L.C.M of the right hand side, we have
(x + b/2a)² = (b² - 4ac)/4a²
taking square-root of both sides, we have
√(x + b/2a)² = ±√[(b² - 4ac)/4a²]
x + b/2a = ±√(b² - 4ac)/2a
So, x = -b/2a ±√(b² - 4ac)/2a
taking the L.C.M of the right hand side, we have
x = [-b ±√(b² - 4ac)]/2a
According to historical data, it is believed that 12% of American adults work more than one job. To investigate if this claim is still accurate, a random sample of 100 American adults is selected. It is discovered that 18 of them work more than one job. A researcher would like to know if the data provide convincing evidence that the true proportion of American adults who work more than one job differs from 12%. What are the values of the test statistic and P-value for this test? Find the z-table here. z = 1.85, P-value = 0.0322 z = –1.85, P-value = 0.0322 z = 1.85, P-value = 0.0644 z = –1.85, P-value = 0.0644
Answers
Answer:
The answer is "Option C"
Step-by-step explanation:
Please find the complete question in the attached file.
In this question its value of P is 0.0644, the significance level is higher than 0.05. Which doesn't reject [tex]H_o[/tex],
Answer: C
Step-by-step explanation: EDGE 2022
Find the surface area of the prism.
Answers
Answer:
30 i think
Step-by-step explanation:
An element with a mass of 700 grams decays by 6.1% per minute. To the nearest
tenth of a minute, how long will it be until there are 220 grams of the element
remaining?
Answers
Answer:
11.2 minutes
Step-by-step explanation:
If the element decreases by 6.1, every minute, it means that the mass lost every minute = 0.061 x 700g = 42.7g
The mass remaining after a minute = 657.30g
The equation that can be used to solve this question is :
700 - 42.7m = 220
m = minutes
Collect like terms
700 - 220 = 42.7m
480 = 42.7m
divide both sides of the equation by 42.7
m = 11.241218 minutes
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
Here, the hundredth is less than 5, so zero would be added to 2. the answer is 11.2 minutes
Answer:
18.4
Step-by-step explanation:
I answered the question
please help me ......
Answers
Answer:
no solution
Step-by-step explanation:
Can someone help me with this problem
Answers
Answer: x = 33°
Step-by-step explanation: A triangle's angles should all equal 180, so we can set up an equation to help us.
106 + 41 + x = 180
Add 106 and 41
147 + x = 180
Subtract 147 on both sides.
x = 33
And there you go :)
Sebastián afirma que – 14 está a la izquierda de – 10 en la recta numérica y por lo tanto es mayor, mientras que Alfredo afirma que es menor. ¿Quién está en lo correcto? Justifica.
Answers
Answer:
Alfredo está en lo correcto porque los números negativos se encuentran a la izquierda del cero y mientras más a la izquierda se encuentra un número negativo, más pequeño será y a medida que te desplazas hacia la derecha mayor será el número. Puedes representar los dos números en una recta numérica de la siguiente forma:
___________________________________________________________
-14 -13 -12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3
Como se ve aquí, -14 se encuentra a la izquierda de -10 y esto significa que es menor. Por esto, Alfredo está en lo correcto al decir que -14 es menor.
A rectangle has a perimeter of 150 cm. The length is 3 cm more than twice the width. Find the length and width of the rectangle.
Answers
Answer:
Length of rectangle = 51 cm
Width of rectangle = 24 cm
Step-by-step explanation:
Given:
Perimeter of rectangle = 150 cm
Find:
Length and width of the rectangle
Computation:
Assume;
Width of rectangle = a cm
Length of rectangle = 2a + 3 cm
Perimeter of rectangle = 2[l + b]
150 = 2[(2a + 3) + a]
2[3a + 3] = 150
6a + 6 = 150
6a = 144
a = 24
Width of rectangle = 24 cm
Length of rectangle = 2a + 3 cm
Length of rectangle = 2(24) + 3 cm
Length of rectangle = 51 cm
π (pi) is an unending decimal. Find the Circumference of the circle below using exact π (pi).
Answers
Step-by-step explanation:
Given radius, r = 5,
Circumference of Circle, C
[tex] = 2\pi \: r \\ = 2\pi(5) \\ = 10\pi \: units[/tex]
Answer:
[tex]10\pi[/tex]
Step-by-step explanation:
As the hint below says:
[tex]C = 2\pi r[/tex]
We also know that
r = 5
So thus:
[tex]C = 2 \pi \cdot 5 = 10\pi[/tex]
Which expression is equivalent to 36 + 24?
Answers
Answer:
60
Step-by-step explanation:
Find the value of x. Also with explanation please
Answers
Answer:
x+90°+130°=360°
x+220°=360°
x=360°-220°
x=140°
Help me with this Math question.
Answers
Answer:
D
Step-by-step explanation:
Just graph the equation and where they intercept is the solution.
Just use desmos graphing calculator if you don't know how to graph.
24 + 8x + 10(2x)
Terms:
Constants:
Coefficients:
Answers
constants: 24
coefficients: 8, 10, 2
In the small town of Middleton, there are only two restaurants that serve pizza- a small family owned Italian restaurant and a new franchise pizza restaurant. In a recent review of the franchise, a food critic reported that the pizza was delicious as promised. The only negative review that the franchise received from the critic was in reference to the inaccurate delivery time quoted during the online order process. In response to the article, the franchise owner used a program to analyze the online pizza orders that took place during the week before the review. He chose to track the orders at 6pm each day. He recorded his results in the frequency table below.
Use the frequency table to create a box and whisker plot of the On Time data values. In your final answer, include all calculations necessary to create the box and whisker plot.
Use the frequency table to create a box and whisker plot of the Late data values. In your final answer, include all calculations necessary to create the box and whisker plot.
Answers
Answer: 1.
Yes , the data franchise owner is collecting, will be helpful in order to counter the criticism from the critic. As he has a record for every delivery they are making on daily basis.
2.
The scenario is that for every fifth customer , the owner cross the four lines he makes. Thus a pack of five and easy to remember. As the data on regular week days is less, As can do the same for the third customer. Crossing the 2 lines for 3rd customer.
3.
With this provision of crossing the third customer, the owner can have a better check on the late delivery. As it will bring in his notice earlier as compared to fifth crossing.
4.
With the data as provided in the table, we can come to the conclusion that on weekends , i.e. both on time delivery and late deliveries are high in numbers. It must be because of high demand on that days. So owner must make some provision like hiring some more delivery boys for weekend in order to reduce the late deliveries.
Step-by-step explanation:
PLEASE HELP ME OUT! QUICK POINTS FOR YOU!
All information needed can be found in the image below
Thank you in advance.
Answers
Answer:
3.14 units squared
Step-by-step explanation:
A = pi r^2
A = pi (1) ^2
A = pi = 3.14
(Radius = diameter / 2)
i need help with this...
Answers
the answer is 60 :) good luckStep-by-step explanation:
The equations of two lines are:
2x-y=4 and y=-2x+8.
What is the value of x in the solution for this system?
Answers
Answer:
x = 3
Step-by-step explanation:
2x - y = 4
y = -2x + 8
-y = -2x + 4
y = -2x + 8
0 = -4x + 12
-4x = -12
x = 3
PLEASE HELP ASAP
Find the surface area and volume of the cylinder below:
Answers
Answer:
Surface Area: 848.23
Volume: 1727.88
Step-by-step explanation:
I know dis im in 8th grade iz ez!
Question Help
One taco supreme and two pan pizzas provide 3200 calories. Two taco supremes and one pan pizza
provide 3280 calories. Find the caloric content of each item.
Answers
Answer:
4324eqW
Step-by-step explanation:
3 + 5 =7
HELPPPPP
Directions: Find the slope of the lines graphed below.
1.
2.
3.
4.
5.
6.
Directions: Find the slope between the given two points.
7.(-1,-11) and (-6, -7)
8. (-7.-13) and (1, -5)
9. (8.3) and (-5,3)
10. (15, 7) and (3,-2)
11. (-5, -1) and (-5, -10)
12. (-12, 16) and (-4,-2)
Directions: Use slope to determine if lines PQ and RS are parallel, perpendicular, or neither.
13.P(-9,-4), (-7, -1), R(-2,5), S(-6, -1)
m(PO)
m(RS)
Types of Lines
PLEASE HELLPPPP
Answers
Answer:
7. -4/5
8. 1
9. 0
10. 3/4
11. undefined/nonlinear
12. -9/4
13. parallel
Aerin's friend Fritz gives her a riddle to solve about the ages of the people in his family. There are 5 people in Fritz's family: Mom, Dad, his sisters Adele and Erika, and Fritz. Here are the clues to the puzzle. 1) Mom is 8 years younger than Dad. 2) Dad is 2 times as old as Fritz. 3) Adele is 4 years old. 4) Fritz's age plus Adele's age equals Erika's age. 5) Mom was 24 when Erika was born. 6) In 9 years, Mom will be twice as old as Erika will be. All the ages are whole numbers. Aerin decides to use variable for the unknown ages and write equations to express the information. M
Answers
Answer:
Dad = 47, Mom = 39, Fritz = 11, Erika = 15 and Adele = 4
Step-by-step explanation:
Let M = Mom's age, D = Dad's age, F = Fritz's age, A = Adele's age and E = Erika's age.
Given that
1) Mom is 8 years younger than Dad, we have D = M + 8 (1)
2) Dad is 2 times as old as Fritz. D = 2F (2)
3) Adele is 4 years old. A = 4 (3)
4) Fritz's age plus Adele's age equals Erika's age. F + A = E (4)
5) Mom was 24 when Erika was born. M = E + 24 (5)
6) In 9 years, Mom will be twice as old as Erika will be. M + 9 = 2(E + 9) (6)
Substituting (5) into (6), we have
E + 24 + 9 = 2(E + 9)
E + 33 = 2E + 18
subtracting E from both sides, we have
2E - E + 18 = 33 + E - E
E + 18 = 33
subtracting 18 from both sides, we have
E + 18 - 18 = 33 - 18
E = 15
M = 15 + 24 = 15 + 24 = 39
From (4) F = E - A = 15 - 4 = 11
From (1) D = M + 8 = 39 + 8 = 47
So, their ages are Dad = 47, Mom = 39, Fritz = 11, Erika = 15 and Adele = 4
if you had 4 quarters and 8 nickels how much money would you have?
Answers
Answer:
$1.40
Step-by-step explanation:
4 quarters
1 quarter = 25 cents
Therefore, 4 quarters = 1/25 x 4/x
multiply 4 by 25, since 1 quarter = 25 cents
4 x 25 = 100
4 quarters = 100 cents
which equals $1
8 nickels
1 nickle = 5 cents
Therefore, 8 nickles = 1/5 x 8/x
multipy 8 by 5, since 1 nickel = 5cents
8 x 5 = 40
8 nickels = 40 cents
So add both 40 cents and 100 cents, which equals 140 cents.
But you still have to change the cents to dollars.
Which is 100 cents = $1
Add 40 cents
= $1.40
What is the slope of the line connecting the pair of points (0,7) (4,12)
Answers
Answer: 5/4
Step-by-step explanation: That should be right because I have big brain. Mark brainlist please :)
hi please help i’ll give brainliest
Answers
Answer:
Ellipse. It is irregular at some points.
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
eight more than the quotient of a number and four
Answers
Answer:
hi
Step-by-step explanation: