Answers
Answer:
Area: 272ft²
Volume = 82.6236447189ft³
Step-by-step explanation:
AREA
The area of a square pyramid is found by combining the area of the base and the area of the triangular faces:
Area of base = area of square = L² = 8² = 16ft²
Area of one triangular face = (1/2)bh = (1/2)(8)(16) = 64ft²
There are four triangular faces so the total area = 16+4(64)= 16+256= 272 ft²
VOLUME
The volume of a square pyramid = (a²)(h/3), where a is the length of the base and h is the length from the top of the pyramid to the middle of the square.
We are given a, but not h. To find h, we must imagine a right-angled triangle within the pyramid, where 16ft is the hypotenuse, h is the height and the base is half of a (since the base is a square and the distance is from the edge to the middle). We can then use pythagorus's theorem to find h:
A²=B²+C²
16²=(8/2)²+h²
256=16+h²
h=√240
h=15.4919333848ft
Knowing h, we can find the volume:
Volume = (a²)(h/3)
Volume = (8²)(15.4919333848/3)
Volume = (16)(5.16397779493)
Volume = 82.6236447189ft³
Related Questions
100 Points for this
This series of transformations is performed on a quadrilateral:
a dilation by a factor of 4 with the origin as the center of dilation
a reflection across the y-axis
a 90° counterclockwise rotation about the origin
a translation 3 units down
Arrange the functions representing these transformations in the order in which the transformations occur.
(The tiles are)
f(x, y) = (-4x, 4y)
g(x, y) = (4x, -4y)
h(x, y) = (4x, 4y)
i(x, y) = (4y, 4x − 3)
j(x, y) = (4y, 4x)
k(x, y) = (-4y, -4x)
l(x, y) = (-4y, -4x − 3)
Answers
Answer:
l(x,y) = (-4y, -4x - 3)Step-by-step explanation:
Let's start with function (x, y)
Transformations in the given order result in following
A dilation by a factor of 4 with the origin as the center of dilation
This results in both coordinates multiplied by 4(x, y) → (4x, 4y)A reflection across the y-axis
This results in x-coordinate changing sign to opposite(4x, 4y) → (-4x, 4y)A 90° counterclockwise rotation about the origin
This results in x-coordinate swapping with negative y-coordinate (-4x, 4y) → (-4y, -4x)A translation 3 units down
This results in y-coordinate change by -3(-4y, -4x) → (-4y, 4x - 3)The final function is:
l(x) = (-4y, -4x - 3)Answer:
l(x) = (-4y, -4x - 3)
I got the same answer as Mhanifa and if you want the explanation check his, because mine sucks :(
What is the value of x if x+15=38 ?
Answers
Answer:
x=23
Step-by-step explanation:
x+15=38 (we subtract 15 from both sides to get x alone on one side)
x=23
Answer:
23
Step-by-step explanation:
Subtract 15 by both sides to get X by itself and you get your answer!
Write an expression using the Distributive
Property to find the product of 7 X 63.
Answers
Answer:
7(60+3)
Step-by-step explanation:
Distributive property is written: a(b+c)
7 x 63 = (7x60) + (7x3) = 7(60+3)
Answer:
7 x (60 + 3)
Step-by-step explanation:
Can anyone help asap please
Answers
Answer: 132
Step-by-step explanation:
Answer:
132 m
Step-by-step explanation:
[tex]C = \pi \: d = \frac{22}{7} \times 42 = 132 \: m \\ [/tex]
100 POINTS AND DOING BRAINIEST create a factorable polynomial with a GCF of 6 rewrite that polynomial in two other equivalent forms explain how each form was created. Please help
Answers
Answer:
100 point sheeshhh ill take em but i don't have awnsers m8
In ΔVWX, x = 30 inches, v = 89 inches and ∠W=130°. Find the area of ΔVWX, to the nearest square inch.
Answers
Answer:
1023 inches
Step-by-step explanation:
Area = (1/2)(a)(b)(sinA)
Area = (1/2) (30) (89) (sin 130)
Area = 1022.669332 or 1023
The area of triangle VWX, to the nearest square inch, is approximately 1023 square inches.
To find the area of triangle VWX, we can use the formula for the area of a triangle:
Area = (1/2) * base * height
In this case, we need to determine the base and height of triangle VWX.
The length of the base, WX, is given as x = 30 inches.
To find the height, we can use the formula for the area of a triangle:
Area = (1/2) * WX * VW * sin(W)
Given that ∠W = 130°, we can find the sine of the angle using a scientific calculator or trigonometric tables. Let's assume the sine of 130° is approximately 0.766.
Now, we have all the values we need to calculate the area:
Area = (1/2) * 30 * 89 * 0.766 ≈ 1023 square inches
Therefore, the area of triangle VWX, to the nearest square inch, is approximately 1023 square inches.
To know more about triangle:
https://brainly.com/question/2773823
#SPJ6
the area of a rectangle is 84x18y what is the length.
Answers
Answer:
Area =L×w
84×18y =L×w
by comparison
L =84 and w=18y
A plane travels at a speed of 205mph in still air. Flying with a tailwind, the plane is clocked over a distance of 975 miles. Flying against a headwind, it takes 2 hours longer to complete the return trip. What was the wind velocity?
no links
Answers
Answer:
T1 = 975 / (205 + V) flying with wind
T2 = 975 / (205 - V) flying against wind
T2 = T1 + 2
975 * {1 / (205 - V) - 1 / (205 + V)] = 2
(205 + V + V -205) / (205^2 - V^2) = 2 / 975
V^2 + 975 V - 42025 = 0 rearranging
V = 41.3
Values of flying are 246.3 and 163.7
Check:
T1 = 975 / 246.3 = 3.96 hrs
T2 = 975 / 163.7 = 5.96 hrs
if you answer this question get 100 point please answer
please answer
please answer
please answer
please answer
please answer
please answer
Answers
Answer:
READ
Step-by-step explanation:
A 1
B 3
3 4
2 2
Zafira drinks 4 fluid ounces of orange juice each morning. Which equation can be used to find m, the number of mornings it will take her to drink 4 cups of orange juice.
Answers
Answer:
Step-by-step explanation:
m = (4×8) ÷ 4
m = 8 mornings
I need the answer , help me pls
Answers
Answer:
[tex] \large \boxed{y = - \frac{2}{3} x + 2}[/tex]
Step-by-step explanation:
both slopes multiply each others must equal to -1 for perpendicular.
[tex] \large{m_1m_2 = - 1}[/tex]
Let m1 = 3/2
[tex] \large{ \frac{3}{2} m_2 = - 1} \\ \large{3m_2 = - 2} \\ \large{m_2 = - \frac{2}{3} }[/tex]
Therefore -2/3 is perpendicular to 3/2. Because the line passes through (6,-2)
[tex] \large{y - y_1 = m(x - x_1)}[/tex]
Given (x1, y1) = ordered pair
Therefore (x1, y1) = (6,-2)
and m = - 2/3
[tex] \large{y + 2 = - \frac{2}{3} (x - 6)}[/tex]
Write in slope-intercept form.
[tex] \large{y = - \frac{2}{3} x + 4 - 2} \\ \large{y = - \frac{2}{3}x + 2}[/tex]
URGENT WILL GIVE BRAINLIEST
Answers
Answer:
It's either C or D, I'm thinking C, but I don't know for sure. Sorry for the delay
40x +16y = ( + )
plz help me
Answers
Answer:
Write in Slope-Intercept Form
Graph
Find the x and y Intercepts
Find the Slope
Find the Slope and y-intercept
Write in y=mx+b Form
Write in Standard Form
Find the length of the third side. If necessary, round to the nearest tenth.
12
5
Answers
9514 1404 393
Answer:
13
Step-by-step explanation:
The hypotenuse can be found using the Pythagorean theorem. If we call that side 'c', then the theorem tells us ...
c² = 5² + 12²
c² = 25 +144 = 169
c = √169 = 13
The length of the third side is 13 units.
_____
Additional comment
The numbers (5, 12, 13) are what is called a "Pythagorean triple." That is, they are integers that can be used to form a right triangle. Others often seen in algebra problems are the (3, 4, 5), (7, 24, 25), and (8, 15, 17) triples. It can be worth your trouble to remember these. Then when you see side lengths of 5 and 12, you don't need to do any math to know the third side is 13.
Can smart people solve this geometry problem with all work
Answers
Answer:
Step-by-step explanation:
Determine the value of x. Round answer to the nearest hundredth.
Answers
Answer:
i believe it is 24
Step-by-step explanation:
PLZ GIVE BRAINLY
The answer to the question
Answers
Answer:
I am pretty sure this is gonna be the 3rd anwser
Answer:
The answer is C aka 3(5)^6
Step-by-step explanation:
The perimeter of the figure below is 54.9 in. Find the length of the missing side.
5.9 in
5.9 in
?
7.3 in
7.3 in
7.3 in
7.3 in
7.3 in
Answers
so 36.5 + 11.8 = 48.3 and
54.9 - 48.3 = 6.6
Larissa rolled two number cubes each with the numbers 1 through 6 larissa adds the numbers appeared on the roll which two sums have an equal chance of occurring
A. 3 and 11
B. 4 and 7
C. 5 and 8
D. 6 and 9
Answers
11 feet
Find the area of the square.
A = ft2
Answers
Answer:
area of square = side²
area of square=(11 feet)²
area of square=121 feet²
11. If you randomly selected 500 U.S. homes, about
how many would be heated with fuel oil?
Answers
Answer:
50
Step-by-step explanation:
Given
Total number of US houses = 500
If 10% were affected by fuel oil
Total number affected by fuel oil = 10% of 500
Total number affected by fuel oil = 0.1 * 500
Total number affected by fuel oil = 50
Hence 50 houses were affected by fuel oil
(Click on Photo, I’ll mark as Brainliest!)
Answers
Will give brainliest
Find the probability that a randomly
selected point within the circle falls
in the white area.
W
r = 4 cm
4√2 cm
[? ]%
Round to the nearest tenth of a percent.
Answers
Answer:
The probability that a randomly selected point within the circle falls in the white area is approximately 36.3%
Step-by-step explanation:
The given parameters of the area are;
The length of the radius of the circle, r = 4 cm
The length of the side of the inscribed quadrilateral, s = 4·√2 cm
The diagonals of the inscribed quadrilateral = 2 × The radius of the circle
∴ The diagonals of the inscribed quadrilateral are equal and given that the sides of the quadrilateral are equal, the quadrilateral is a square
The probability that a randomly selected point within the circle is white is given by the ratio of the white area to the brown square area as follows;
The white area = The total area - The area brown square
The total area, A = The area of the circle with radius, r = π·r²
∴ A = π·(4 cm)² = 16·π cm²
The area of the brown square, Asq = s² = 4·√2 cm × 4·√2 cm = 32 cm²
The white area, Aw = 16·π cm² - 32 cm² = 16·(π - 2) cm²
The probability that a randomly selected point within the circle falls in the white area is therefore;
[tex]P(W) = \dfrac{A_W}{T_A} = \dfrac{16 \cdot (\pi - 2) \, cm^2}{16 \cdot \pi \, cm^2 } \times 100= \left (1 - \dfrac{2}{\pi}\right) \times 100 \approx 36.338022763241865692 \%[/tex]
By rounding to the nearest tenth of a percent, we have;
The probability that a randomly selected point within the circle falls in the white area, P(W) ≈ 38.3%.
Given that n is an integer and 0 < 4n <30, what is the sum of all possible integer values of n
Answers
n can be all the way upto 7 as 8 x4 = 32 which is higher than 30. The lowest possible diggit is 1.
n = 1, 2, 3, 4, 5, 6, 7
1 + 2 + 3 + 4 + 5 + 6 + 7 = 28
⭐ Answered by Foxzy0⭐
⭐ Brainliest would be appreciated, I'm trying to reach genius! ⭐
⭐ If you have questions, leave a comment, I'm happy to help! ⭐
a maintence worker is replacing worn rope on 6 flagpoles.The worker needs 40 feet of rope for each flagpole.At the hardware store,rope is sold by the yard.how many yards of rope does the worker need to buy for all flagpoles
Answers
Answer: 80
Step-by-step explanation:
Do 6 x 40=240 to find the amount of rope needed in ft
Do 240 divided by 3 to convert to yards
A bacterium triples in size every 6 minutes. If you start with 3 bacterium
in a dish, which of the following calculates the total amount of bacteria
after t hours?
3^t+1
3(2)^10t
3•3^t/6
3(2)^10t+1
None of the above
Answers
9514 1404 393
Answer:
E none of the above
Step-by-step explanation:
"Triples in size" means the growth factor is 3, so we expect to see that as the base of the exponent. That growth factor applies to a period of 6 minutes, or 1/10 hours. The number of 6-minute intervals in t hours is 10t, so we expect to see that as the exponent. The appropriate model could be written ...
n(t) = 3·3^(10t) . . . . . matches no offered answer choice
How many cards are in a standard deck of cards? What are their colors?
Answers
Answer:
A standard deck of cards consists of 52 cards. The colors are usually black for the spades and clubs and red for the hearts and diamonds.
Step-by-step explanation:
Answer:
There are 52 cards which are either red or black
Step-by-step explanation:
Eric starts with 10 milligrams of a radioactive substance. The amount of the substance
decreases by 1 ¿ each week for a number of weeks, w. He writes the expression
10)" to find the amount of radioactive substance remaining after w weeks.
Andrea starts with 1 milligram of a radioactive substance. The amount of the
substance decreases by 20% each week for a number of weeks, w. She writes the
expression (1
0.2)" to find the amount of radioactive substance remaining after W
weeks.
Use the drop-down menus to explain what each part of Eric's and Andrea's
expressions mean.
Answers
Answer:
ok m
Step-by-step explanation:
ok
Answer:
Step-by-step explanation:
When graphing a system of equations with infinitely many solutions, the slopes of the two lines will be ________.
Answers
hope this helps :)
Plsssssss help and no one send me a file just tell me the answer
Answers
Either F or J
I think it's J, but it might be F :|