Answers
Given:
The figure of a square base pyramid.
To find:
The area of volume of the pyramid.
Solution:
The area of square base is:
[tex]B=(side)^2[/tex]
[tex]B=(16)^2[/tex]
[tex]B=256[/tex]
Area of one triangular side of the pyramid is:
[tex]A_1=\dfrac{1}{2}\times base\times height[/tex]
[tex]A_1=\dfrac{1}{2}\times 16\times 13[/tex]
[tex]A_1=104[/tex]
Now, the total surface area of the pyramid is:
[tex]A=B+4A_1[/tex]
[tex]A=256+4(104)[/tex]
[tex]A=256+416[/tex]
[tex]A=672[/tex]
Therefore, the surface area of the pyramid is 672 square m.
The volume of the pyramid is:
[tex]V=\dfrac{1}{3}Bh[/tex]
Where, B is the base area and h is the vertical height of the pyramid.
Substituting [tex]B=256,\ h=6[/tex], we get
[tex]V=\dfrac{1}{3}(256)(h)[/tex]
[tex]V=(256)(2)[/tex]
[tex]V=512[/tex]
Therefore, the volume of the pyramid is 512 cubic meters.
Hence the correct option is d.
Related Questions
The diameter of a circle is 6 in. Find its area to the nearest tenth.
Answers
Answer and Step-by-step explanation:
The area formula for a Circle is:
A = [tex]\pi r^2[/tex]
Diameter is equal to the radius times 2.
So, divide the diameter to get the radius.
6 divided by 2 equals 3.
Now, plug it into the formula.
[tex]A = \pi (3)^{2}[/tex]
A = [tex]9\pi[/tex]
Plug this into your calculator by multiplying 9 by pi.
We get the answer to be 28.3 when rounded to the nearest tenth.
#teamtrees #PAW (Plant And Water)
Write the number 3.8 x 10-4 in standard form.
Answers
Answer:
0.00038.
Step-by-step explanation:
The exponent is negative 4 so the 3 goes into the 4th place after the decimal point.
correct 2.67754 to two decimal places
Answers
help please no links! thank you
Answers
Answer: x=43, y=180
Step-by-step explanation: x is 43 because the 43 next to it has the same value. y is 180 because the angle is a straight line.
Graph the line y = -3/4 +5
Answers
Answer: plot the y intercept at 5 on the y axis. Then from (0,5) count down 3 and to the right 4 to plot the next point at (4,2). Then kee doing that until you have enough pony’s to connect as a line.
Step-by-step explanation:
35% of a number is what fraction of that number?
Your answer should be
a simplified proper fraction, like 3/5
a simplified improper fraction, like 7/4
Answers
Answer:
7/20, that's what my calculator says, hope this helps
Step-by-step explanation:
what is the radius of the circle which has the given equation? (x - 2)2 + (y + 1)2 = 16
Answers
Answer:
r = 4units
Step-by-step explanation:
The standard foem of equation of a line is expressed as;
(x-a)² + (y-b)² = r²
r is the radius
Compare with the given equation (x - 2)^2 + (y + 1)^2 = 16
r² = 16
r = √16
r = 4
Hence the radius of the circle is 4
Pls help me fast thx
Answers
Answer:
The answer is C
Step-by-step explanation:
Elena would like to know the average height of seventh graders in her school district. She measures the heights of everyone in a random sample of 20 students. The mean height of Elena’s sample is 61 inches, and the MAD (mean absolute deviation) is 2 inches.
Select all the true statements.
Who every can answer this I will give brainliest!! Please help!
Answers
Complete question is;
Elena would like to know the average height of seventh graders in her school district. She measures the heights of everyone in a random sample of 20 students. The mean height of Elena's sample is 61 inches, and the MAD (mean absolute deviation) is 2 inches.
Select all the true statements. Make your selections bold.
A. The median height of the sample must be between 59 and 63 inches.
B. Another random sample of 20 students is likely to have a mean between 57 and 65 inches.
C. The mean height of these 20 students is likely to be the same as the mean height of all students in the district.
D. The mean height of these 20 students is likely to be the same as the mean height of a second random sample of 20 students.
E. Elena would be more likely to get an accurate estimate of the mean height of the population by sampling 40 people instead of sampling 20 people.
Answer:
Options A, B & E are true.
Step-by-step explanation:
We are told that Elena's mean absolute deviation is 2 inches.
This means that the distance between each data point and the mean is equal to 2. This value gives us a good idea about the variability present in the dataset.
This is calculated from the difference between the mean of the absolute value of the initial mean and each data set.
Now, looking at the options. In option A, since mean height of the 20 students is given as 61, it means the median will be close to that figure too. Thus, between 59 and 63 inches given is appropriate.
In option B, if another random sample is taken, the mean would likely be close to 61 too since the MAD is 2.
Thus range given is okay.
In options C & D, there is no evidence to prove that the new mean would be the same as the district or the second random sample. This, both options are not appropriate.
In option E, if she uses a Sample of 40, she will obviously get a more accurate figure because the more the sample the more accurate the average result that represents the population.
Which equivalent expression can be used to solve the quotient 2/3 divided by 4/5
Answers
Answer:
gay is bad
Step-by-step explanation:
Answer:
your answer is 5/6
:)
Two sides of a right triangle measure 2 units and 4 units.
4 units
2 units
What is the area of the square that shares a side with the third side of the triangle?
units?
Answers
Consider the volume of cones and cylinders Part A The volume of a right circular cone is 300 cubic inches. What is the volume, in cubic inches, of a right cylinder that has the same base and height as the cone? Enter your answer in the space provided. Part B The volume of a different right cylinder is 7,4487 cubic centimeters. The diameter of the base of the cylinder is 28 centimeters What is the height in centimeters of the cylindera Enter your answer in the space provided.
Answers
Answer: part A : 900
Part B 38
Circle math assignment . All the information is on the picture (click on it if it doesn’t fully appear) and if you can give me the work to that would be wonderful!!! PLSS ITS DUE TODAY
Answers
Answer:
the radius is half of the cricle
Please Answer these ASAP Find the area.
1. Determine the value of the bases, b and B, used to determine the volume in the object below.
2. Find the area. The polygon is regular. Round answer to the nearest tenth
Answers
Answer:
polygon is regular. Round answer to the nearest tenth
Step-by-step explanation:
[tex]36 - 6 \times = \frac{ < \sqrt{ \geqslant \binom{ | |4)6300 \times - 9x55.90660606.. \sqrt{. \geqslant 522 \sqrt[25h \\ ]{?} \times \frac{?}{?} \times \frac{?}{?} } | | \times \frac{?}{?} }{?} } }{?} \times \frac{?}{?} [/tex]Write an inequality that represents eight less than three times a number is more than 22.
Answers
3x-8>22
hope this helps!
Differentiate 2x-4x^4
Answers
Answer:
2-16x^3
Step-by-step explanation:
15 pts, Trigonometic ratios. Please solve as it says on the mandate, Thanks!
Answers
Answer:
WY = 8
Step-by-step explanation:
We solve for above question using the Trigonometric function of Sine
sin θ = Opposite/Hypotenuse
Opposite = WY = x
Hypotenuse = 9
θ = 63°
Hence,
sin 63° = x/9
Cross Multiply
x = sin 63° × 9
x = 8.0190587177
Approximately x = 8
Therefore, WY = 8
find the volume of the prism
Answers
Answer:
volume = 108
Step-by-step explanation:
simple: volume = base x height
9 x 12 = 108
Answer 1452
Step-by-step explanation:
im not sure if im correct but the formua is V = L x W x H which is volume equal lenth multiplied by with multiplied by height. so 12 x 11 x 11
15y - 2y + 29 = 5y -27
Answers
Answer:
y=-7
Step-by-step explanation:
Answer:
8y=-56
Step-by-step explanation:
Subtract 15y-2y
after you get 13y subtract 5y which is 8y
afterwards subtract -29-27 which is addition and you get -56
y=-7
What is the measure of angle L? Round to the nearest hundreth.
Help please!!
Answers
Answer:
60.57
Step-by-step explanation:
The angle L can be found using the inverse sine function.
L=arcsin(opp/hyp )
L=arcsin(2.7/3.1)
L =60.57129282
What x and y equal to
Answers
Answer:
X = 4, Y = 3.
Explanation:
Since the length of side CK is equal to the length of WM, then you can make the equation 6y-4 = 18. then you just add 4 to each side and divide both sides by six to get 3. Same thing for the other equation. Angle (i think its an angle due to its placement) C is equal to angle M, so you can make the equation 3x + 7 = 19. Subtract seven from both sides then divide by 3 to get 4. Tell me if you have any questions :)
Answer and Step-by-step explanation:
We know the triangles are congruent, so if you were to flip one of the triangles onto the other, the will perfectly match up, allowing us to solve for x and y.
19 = 3x + 7
Subtract 7 from both sides.
12 = 3x
Divide each side by 3.
4 = x
14 = 6y - 4
Add 4 to each side.
18 = 6y
Divide each side by 6.
3 = y
x = 4
y = 3
#teamtrees #PAW (Plant And Water)
Which shape has a perimeter of 18 inches?(1 point)
Answers
Answer:
d
Step-by-step explanation:
________ probability is based on a uniform probability. Ask yourself: What SHOULD happen when you conduct an experiment?
A) Simple
B) Theoretical
C) Experimental
_____ probability is based on relative frequency. Ask yourself: What ACTUALLY occurred during such an experiment?
A) Simple
B) Theoretical
C) Experimental
HELPP!!!!
Answers
Answer:
The answer is "Experimental Probability ".
Step-by-step explanation:
The probability of experiments is uncertainty which is calculated several times as per the outcome of even an experiment. The probability distribution is probably dependent upon reasoning. This probability is a price of about one or zero. It was based on the relative frequency or what occurs during a probability test.
Ernie has 4 yellow straws, 3 green straws, and 1 blue straw in a kitchen drawer. Each straw is the same size and shape. Ernie pulls out one straw from from the drawer without looking. What is the probability of Ernie pulling out a green straw.
A. 1/8
B. 3/8
C. 5/8
D. 7/8
Answers
Answer:
3/8
Step-by-step explanation:
What is the length of BC? If the answer is not an integer, leave it in simplest radical form. The diagram is not drawn to scale.
O A. 13/2 ft
OB. 135 ft
C. 26 ft
D. 13 ft
Answers
Answer:
13sqrt(2)
Step-by-step explanation:
Using pythagoras theorem
asap please !
In a state assembly, 35% of the legislators are Democrats, and the other 65% are Republicans. 70% of the Democrats favor raising sales tax, while only 40% of the Republicans favor the increase. If a legislator is selected at random from this group, what is the probability that they favor raising sales tax? Give your answer as a percentage rounded to the nearest tenth.
Answers
Answer:
Probability of selecting a legislator who favors rising sales tax is 0.63
Step-by-step explanation:
Given
Percentage of legislators that are democrats = 0.35
Percentage of legislators that are Republicans = 0.70
All the democrats favor raise in sales tax , so their probability is 1
and only 40% of the Republicans favor raise in sales tax.
Probability of selecting a legislator who favors rising sales tax is
(0.35*1)+(0.70*0.40)
= 0.63
please view the image below to help solve thank youu
determine whether the scenario involves independent or dependent events then find the probability
Answers
Answer:
B
Step-by-step explanation:
1/4 x 1/4
independent because if you flip a tails on the first toss it doesn't affect the second toss
What is the value of tan C? Leave your answer as a fraction.
Help please!!
Answers
Answer:
35/12
Step-by-step explanation:
Opposite/Adjcent (of C)
35/12
ano ang dapat tandaan sa pagbuo ng plano ng proyekto
Answers
Answer: kung ano ang dapat tandaan ay na kailangan mong makuha ang bawat detalye at gawin ang mga bagay na mabagal upang hindi ka makaligtaan anything. Pinaka utok pls
Step-by-step explanation:
What is the value of y?
Answers
Answer:
y = 66
Step-by-step explanation:
Exterior angles thm:
y + y - 31 = y + 35
2y - 31 = y + 35
2y - y = 35 + 31
y = 66