The volume of the pyramid is 1,280 cubic feet. Thus, the correct option is A.
What is the volume of the pyramid?Let h be the height of the pyramid, l be the slant height, and A be the base area of the pyramid. Then the volume of the pyramid will be given as,
Volume = (1/3) × A × h
The slant height is given as,
l² = (half of the side)² + h²
Given that:
Slant height, l = 17 ft
Side length, a = 16 ft
The height of the pyramid is calculated as,
17² = (16/2)² + h²
h = 15
The volume of the pyramid is calculated as,
V = 1/3 x 16 x 16 x 15
V = 256 x 5
V = 1,280 cubic feet
Thus, the correct option is A.
More about the volume of the pyramid link is given below.
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PLEASE HELP! Will mark brainliest! Find the intercepts for the following linear equation: y=−5
Answer:
hi :)
Step-by-step explanation:
Y intercept (C)= -5
I think it will help you.
A solid hemisphere has volume 230cm^3. (a) Calculate the radius of the hemisphere. [The volume, V, of a sphere with radius r is V = 4 /3 = π r^3 .]
Answer:
[tex]\huge\boxed{r = 4.8\ cm}[/tex]
Step-by-step explanation:
Since it's a hemisphere, the volume will be:
Volume of Hemisphere = [tex]\frac{2}{3} \pi r^3[/tex]
Given that Volume of hemisphere = 230 cm³
230 = [tex]\frac{2}{3} \pi r^3[/tex]
Multiplying both sides by 3
230 * 3 = 2πr³
690 = 2πr³
Dividing both sides by 2π
690 / 2π = r³
r³ = 109.8
Taking cube root on both sides
r = 4.8 cm
Answer:
[tex]\large \boxed{\mathrm{4.79 \ cm}}[/tex]
Step-by-step explanation:
The volume of a hemisphere is half the volume of a sphere.
The formula for the volume of hemisphere is V = 2/3πr³.
The volume is given.
230 = 2/3πr³
Solve for r or radius.
Multiply both sides by 3/2.
230 × 3/2 = 2/3πr³ × 3/2
345 = πr³
Divide both sides by π.
(345)/π = (πr³)/π
109.816910733 = r³
Take the cube root of both sides.
∛(109.816910733) = ∛(r³)
4.78876002459 = r
Find the hypotenuse and the shorter leg of a30°−60°−90° triangle, if the longer leg is 9 in.
Answer:
Since it's a 30-60-90 triangle, the hypotenuse should be
6 √ 3
and the short leg is
3 √ 3
Step-by-step explanation:
Ratio:
Short side: 1
Hypotenuse: 2
Long Side: √ 3
Determine what type of model best fits the given situation: The height of a tree twenty feet tall increases by 2 feet per year.
Answer:
linear model
Step-by-step explanation:
This is a linear function. The initial value is 20 ft, and the yearly growth is 2ft/yr. Thus, the function is
height(t) = (20 ft) + (2 ft/yr)t, where t is the number of years.
Can you find x for me?
Answer:
x = 120 degrees
Step-by-step explanation:
Since the angle given is 30 and the four lengths given are equal corresponding the angles opposite to their given sides for the top left triangle and bottom right triangle, the corresponding angles are equal and also 30 degrees. Since x is where the top left triangle is, we need an equation to relate x. The sum of all the angles in the top left triangle is 180. So, x + 30 + 30 = 180.
Therefore,
x = 180-30-30 = 120
Answer:
Step-by-step explanation:
There are two equal Angels in the triangle so!
X=180°- (30+30)°
=180-60
=120°
A bin contains seven red chips, nine green chips, three yellow chips, and six blue chips. Find each probability. drawing a yellow chip, replacing it, and choosing a blue chip.
The probability of drawing a yellow chip, replacing it, and choosing a blue chip will be 18/625.
What is probability?Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.
A bin contains seven red chips, nine green chips, three yellow chips, and six blue chips.
Then the total number of the event will be
Total event = 7 + 9 + 3 + 6
Total event = 25
The probability of getting a yellow chip will be
Favorable event = 3 {yellow chip}
Then the probability will be
P(Y) = 3 / 25
The probability of getting a blue chip will be
Favorable event = 6 {blue chip}
Then the probability will be
P(B) = 6 / 25
Then the probability of drawing a yellow chip, replacing it, and choosing a blue chip will be
P = P(Y) x P(B)
P = (3/25) x (6/25)
P = 18 / 625
The probability of drawing a yellow chip, replacing it, and choosing a blue chip will be 18/625.
More about the probability link is given below.
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Witch one do I pick
Answer:
c
Step-by-step explanation:
Select the correct answer from each drop-down menu.
35
30
25
Number of Roses
20
15
10
5
0
2
1
3
4
5
X
Number of Plants
According to the graph, the relationship between the number of rose plants and the number of roses is
Answer:
I think it is b
Step-by-step explanation:
-32= -7n-12+3n please help thanks
Answer:
5
Step-by-step explanation:
-32=-7n-12+3n
-32=-7n+3n-12
-32=-4n-12
-4n=-32+12
-4n=-20
n=-20/-4
n=5
Answer:
[tex]n=5[/tex]
Step-by-step explanation:
[tex]-32=-7n-12+3n\\\text{Combine Like Terms}\\-32=-7n+3n-12\\-32=-4n-12\\\text{Isolate the Variable}\\-32+12=-4n-12+12\\-20=-4n\\\text{Divide each side by -4}\\n=5[/tex]
Evaluate 3a2 + 4b2 for a =
2 and b = 3.
O
168
48
O
36
Answer:
48
Step-by-step explanation:
a=2
b=3
3a^2+4b^2
3(2)^2+4(3)^2
3(2)(2)+4(3)(3)
3(4)+4(9)
12+36
48
Hope this helps ;) ❤❤❤
I need help ASAP!! I have no idea how to do this and what side does it mean when it says other side??!
Answer:
1 point should be located before 4 points below C.
1 point should be located before 4 points above B.
1 point should be located at point A.
If g (x) is the inverse of f (x) and f (x) = 4 x + 12, what is g (x)
g (x) = 12 x + 4
g (x) = one-fourth x minus 12
g (x) = x minus 3
g (x) = one-fourth x minus
Answer:
[tex]g(x) = \frac{1}{4} x - 3[/tex]Step-by-step explanation:
Since g(x) is the inverse of f (x) to find g(x) must first find f-¹(x)
To find f-¹(x) equate f(x) to y
That's
f(x) = y
y = 4x + 12
Next interchange the terms x becomes y and y becomes x
That's
x = 4y + 12
Next make y the subject
4y = x - 12
Divide both sides by 4
[tex]y = \frac{1}{4} x - 3[/tex]Therefore
[tex]g(x) = \frac{1}{4} x - 3[/tex]Hope this helps you
Find the lateral area of this cone
What does y equal -3=15+4y
Answer:
-3 = 15+4y
4y = 12
y = 3.......
I know how to do it but right now I'm cooking and have no time please say if the first part is right and the second part will be much appreciated!
Part A is correct. We have x+15 as the length and x+3 as the width. Convention usually has the width be the smaller of the two.
------------------
Part B will have you replace x with 8 and simplify
length = x+15 = 8+15 = 23
width = x+3 = 8+3 = 11
the rectangle is 23 yards by 11 yards, so the area is 23*11 = 253 square yards
Answer:
Below
Step-by-step explanation:
As we see the area is expressed as second degree polynomial
We have already a side wich is (x+15)
● x^2 +18x + 45 = w × (x+15)
● w = (x^2 +18x+45)/(x+15)
Using the eucledian division we get:
● w = x+3
Since x^2 +18x +45 = (x+15) × (x+3)
So your answer was right
■■■■■■■■■■■■■■■■■■■■■■■■■■
Let's calculate the dimensions if x= 8 yards
● the length
x+15 = 8+15 = 23 yards
● the width
x+3 = 8 + 3 = 11 yards
● the area
(x+15)×(x+3) = 23 × 11 = 253 yards^2
Find the slope of this graph
Please someone help me
Answer:
r = 0.046212737
Step-by-step explanation:
A = 14,400 (what your investment originally is)
P = 7,200 (what you want your investment to be)
n = 365 (interest is compounded daily)
t = 15 (15 years)
Plug all of these numbers into the equation, then solve for r
14,400 = 7,200(1 + r/365)^365 · 15
Divide 7,200 on both sides --> 2 = (1 + r/365)^365 · 15
365 · 15 = 5475 --> 2 = (1 + r/365)^5475
5475√(2) = 1 + r/365 (root 5475 both sides to cancel out the exponent)
(5475√(2)) - 1 = r/365 (subtract one from both sides)
((5475√(2)) - 1) · 365 = r (multiply both sides by 365 to isolate r)
Type the left side into the calculator to get r --> 0.046212737.
Hope this helps!
What is the probability of rolling a number less than three on a six-sided die?
Answer: The probability would be 1/3.
Step-by-step explanation:
Answer:
1/3
Step-by-step explanation:
Only '1' and '2' are less than '3' on a 6-sided die.
Thus, only 2 out of 6 outcomes are of interest.
The probability of rolling a number less than three on a six-sided die is therefore 1/3.
PLEASE HELP ASAP I WILL REWARD BRAINLIEST one unit up, one unit down, one unit left, one unit right,
Answer:
y=x+2
Step-by-step explanation:
Since 1 up, 1 down, 1 left, and 1 right would all cancel out so you would still get y=x+2
Answer:
see below
Step-by-step explanation:
will make it simple.
1 unit up : y = |x+2| + 1
1 unit down : y = |x+2| - 1
1 unit to the left : y = |x + 3|
1 unit to the right : y = |x+1|
hope it helps. if its wrong, then please report it wo we can delete of correct it.
Need help with this asap.
Consider that ALMN is similar to APQR and the measure of ZP is 80°. What is the measure of 2L?
A) 20
B) 70
C) 80
D) 90
Answer:
80°
Step-by-step explanation:
as ALMN is similar to APQR thus L and P are similar too.measure of ZP =80° i.e. 80 ÷2 = 40° for each Z and P.now P =40° (so L =40° ) , then 2L = 2 × 40° = 80°what number would you subtract from each side of inquality to solve y+3/8>16
Answer:
[tex]y > 125[/tex]
Step-by-step explanation:
[tex]y + \frac{3}{8} > 16 \\ y > 16 - \frac{3}{8} [/tex]
[tex]y > (16 \times 8) - ( \frac{3}{8} \times 8) [/tex]
[tex]y > 128 - 3[/tex]
[tex]y > 125[/tex]
Please help me with this!!!
Answer:
(f•g)(2)=3 and (g•f)(6)=7
Step-by-step explanation:
look at the tables
where x is equal to both 2 and 7 is where you will find your answer
Hope this helps you!
What’s the mass of a liquid if its density is 0.95 G/ml and its volume is 200 ml
Answer:
190 g
Step-by-step explanation:
Mass =Density
Volume
Let the mass be x.
x/200=0.95
x=200 x 0.95
x = 190 g
Thank you!
Write as an inequality. "Four more than half a number is at most sixteen"
1/2 + 4 ≤ 16
four more = +4
half a number = 1/2
at most means less or greater which is ≤
Answer:
0.5n + 4 ≤ 16
Step-by-step explanation:
add 4 to half of the unknown number (n). It is at most 16 (less than or equal to).
0.5n + 4 ≤ 16
Determine whether the lines given by the vector equations r1=2i + 2j + 3k + s(i + 3j + k) and r2=2i + 3j + 4k + t(i + 4j + 2k) intersect. If they intersect, give the coordinates of their point of intersection.
Answer:
i -j +2k . . . at s=t=-1
Step-by-step explanation:
For the lines to intersect, there must be values of s and t that make the coordinates of r1 equal to those of r2.
Equating i coefficients, we have ...
2 +s = 2 +t
Equating j coefficients, we have ...
2 +3s = 3 +4t
Equating k coefficients, we have ...
3 +s = 4 +2t
The first equation tells us s = t. Using t = s in each of the other two equations, they become ...
2 +3s = 3 +4s ⇒ s = -1
3 +s = 4 +2s ⇒ s = -1
Then the point of intersection is where s = t = -1. That point is ...
(2 +s)i +(2 +3s)j +(3 +s)k = (2 -1)i +(2 -3)j +(3 -1)k
= i -j +2k . . . . the point of intersection
A cylinder has a height of 4.5 cm and a diameter of 1.5 cm. What is the surface area of the cylinder in square centimeters? Use 3.14 for pi. A.21.2 B.24.7 C.7.9 D.31.8
Answer:
A = 56.5cm²
Step-by-step explanation:
r = 1.5cm
h = 4.5cm
A=2πrh+2πr2
A = 2πr(h+r)
A = 2 x 3.14 x 1.5 x ( 4.5 + 1.5 )
A = 56.62cm²
[tex] \large{ \underline{ \underline{ \bf{ \red{Given}}}}}[/tex]
Height of the cylinder = 4.5 cmDiameter of the cylinder = 1.5 cmConsider π = 3.14[tex] \large{ \underline{ \underline{ \bf{ \purple{To \: find}}}}}[/tex]
Surface area of the cylinder in cm²?[tex] \large{ \underline{ \underline{ \bf{ \green{Now, \: What \: to \: do?}}}}}[/tex]
For solving this question, we should know how to calculate the surface area of cylinder i.e Total surface are of cylinder = 2πr(r + h)
Where, r = radius of the cylinder and h is the height of the cylinder.
[tex] \large{ \bf{ \underline{ \underline{ \blue{Solution}}}}}[/tex]
We are provided with,
h = 4.5 cmd = 1.5 cmThen, Radius = 1.5 cm / 2
By using formula,
⇛ 2πr(r + h)
⇛ 2 × 3.14 × 1.5/2 (1.5/2 + 4.5) cm²
⇛ 2 × 3.14 × 3/4( 5.25) cm²
⇛ 24.7275 cm²
❇ Option B
✤ TSA of the cylinder = 24.7275 cm²
━━━━━━━━━━━━━━━━━━━━
Which of the following is a graph of f(x) =square root of x +5
Answer:
Step-by-step explanation:
You didn't include any graphs, so I can't tell you which one it is. However, the graph of [tex]f(x)=\sqrt{x+5}[/tex] looks like this:
Hope this helps!
The graph of the function [tex]\rm f(x) = \sqrt{x+5}[/tex] is attached below and this can be determined by using the rules of transformation.
Given :
[tex]\rm f(x) = \sqrt{x+5}[/tex]
The following steps can be used in order to sketch the graph [tex]\rm f(x) = \sqrt{x+5}[/tex]:
Step 1 - The rules of transformation can be used in order to sketch the graph [tex]\rm f(x) = \sqrt{x+5}[/tex].
Step 2 - First draw the graph of [tex]\sqrt{x}[/tex] which is in the shape of a parabola.
Step 3 - Now, translate the graph in the left direction, So the function of the graph obtained is [tex]\rm f(x) = \sqrt{x+5}[/tex].
The graph of the function [tex]\rm f(x) = \sqrt{x+5}[/tex] is attached below.
For more information, refer to the link given below:
https://brainly.com/question/14375099
Faith owns an organic apple orchard. From her experience the last few seasons, she has developed the formula P=20x-0.01x^2 -240 to predict her profit P in dollars this season if her trees produce x bushels of apples. What is Faith’s predicted profit this season if her orchard produces 300 bushels of apples?
P=20x-0.01x^2-240
P=20(300)-0.01(300)^2-240
P=6000-0.01(90000)-240
P=6000-900-240
P=4860
Remember PEMDAS
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
EXPLANATION: first Is Parentheses, which would be 300, multiply that by 20, that would be 6000.
Next is Exponents, which would be the (^2) so you would Multiply the 300 by itself 2 times. which is 90000
Next is Multiplication, Multiply 0.01 by 90000, which would be 900.
There is nothing to divide or add so skip that.
Next is subtraction, subtract 6000-900-240 and the answer would be 4860.
so Faith's prediction profit for this season would be 4860 when her orchard produces 300 bushels of apples.
I hope that helped! Good Luck!
Question 8(Multiple Choice Worth 1 points)
(06.05 MC)
A paper cup is dropped and its landing position is recorded. The cup can land on the side, on the open end, or on the closed end. The results of 20 trials are shown in the table below:
Paper Cup Experiment
# of times occurred
Open
HT III
Closed
Side
HT III
Based on the table, which of the following best compares the experimental probability of the cup landing on its open end with the experimental probability of the cup landing on its closed end?
The probabilities are equal.
The probability of landing on the open end is greater.
The probability of landing on the closed end is greater.
O No conclusion can be made.
Table Given in the question :
Open = HT 111 = 8
Side = 1111 = 4
Side = HT 111 = 8
Answer:
The probability of landing on the open end is greater.
Step-by-step explanation:
Given the experimental probability distribution :
Open = HT 111 = 8
Side = 1111 = 4
Side = HT 111 = 8
The experimental probability is the ratio of the number of times an event occurs and the total number of trials.
P(A) = number of times A occurs / total number of trials
Where A is defined event.
COMPARING the probabilities of open and closed events
P(open) = 8 / 20 = 2 / 5
P(closed) = 4 / 20 = 1/5
2/5 > 1/5
P(open) > P(closed)
