A sculpture is made of solid copper in the shape of a cone. The sculpture is 67 inches tall, and its base has a radius of 15 inches. If copper costs 1.06$ per cubic inch, how much did the copper for the sculpture cost?
Use 3.14 for Pi, and do not round your answer.
Answer:
$16,725.21
Step-by-step explanation:
To get the cost of the copper used for the sculpture, we must first determine the volume of the object which is given as a cone
Recall that the volume V of a cone
= 1/3Pir^2h
where r is the base radius and h is the height
Given that the sculpture is 67 inches tall, and its base has a radius of 15 inches, the volume of the sculpture
= 1/3 * 3.14 * 15^2 * 67
= 15,778.5 cubic inch
If copper costs 1.06$ per cubic inch, then the cost of the copper for the sculpture
= 15,778.5 * 1.06
= $16,725.21
What is the domain of the function {(-3, 4), (-1,3), (0, 4), (3, 6)}?
Answer:
Domain: {-3, -1, 0, 3}
Step-by-step explanation:
{(-3, 4), (-1,3), (0, 4), (3, 6)}
Domain is just the x values so:
Domain: {-3, -1, 0, 3}
HELPPPPP PLEASE!!! I need to knowwww
Answer:
$25 is the hourly rate
Step-by-step explanation:
Lateral area
Surface area
Answer:
Step-by-step explanation:
the perimeter of a square is 28 feet. what is its area in square feet?
question on picture!!
Answer:
Step-by-step explanation:
Determine the modulus of each of the complex numbers in the matching pairs. List these moduli in order from smallest to largest. Use the letters of the matching pair in your listing.
Suppose m = 2 + 6i, and |m + n| = 3√10 , where n is a complex number.
a. What is the minimum value of the modulus of n?
√10
Provide one example of the complex number, n.
A = J → 2 + 6i
B = F →75
C = H → -3 - i
D = I → 1 + i
E = G → 5 + 5i
these are my matching pairs
Answer:
might be wrong but i think A
Step-by-step explanation:
Answer:
the modulus of a complex number z = a + bi is:
Izl= √(a²+b²)
The fact that n is complex does not mean that n doesn't has a real part, so we must write our numbers as:
m = 2 + 6i
n = a + bi
Im + nl = 3√10
√(a² + b²+ 2²+ 6²)= 3√10
√(a^2 + b^2 + 40) = 3√10
squaring both side
a²+b²+40 = 3^2*10 = 9*10 =90
a²+b²= 90 - 40
a²+b²=50
So,
|n|=√(a^2 + b^2) = √50
The modulus of n must be equal to the square root of 50.
now
values a and b such
a^2 + b^2 = 50.
for example, a = 5 and b = 5
5²+5²=25+25= 50
Then a possible value for n is:
n = 5+5i
how would you read the expression 54?
Answer:
Five to the fourth power
Answer:
Five to the fourth power
Step-by-step explanation:
There are 173 basketball fans who plan to go to a game. How many buses will be needed, given that each bus can hold 46 fans?
Answer:
4 buses
Step-by-step explanation:
There are 173 basketball fans
one bus can hold 46 fans
Hence the number of buses needed can be calculated as follows
= 173/46
= 3.76
= 4
Hence 4 buses are needed
Find the surface area of the ball shown. Use 3.14 for π.
Radius is 13 cm.
Answer:
Hi! answer: 530.66
Step-by-step explanation:
To find area for circles you have to do radius × radius × pi so our radius is 13 so 13 × 13 = 169
169 × 3.14 = 530.66 So that's our answer hope that helps!
Answer:
[tex]676 \pi \ cm^{2}[/tex]
Wren makes some rectangular display boxes. Wren’s first display box is 6 inches long, 9 inches wide, and 4 inches high. What is the volume of the display box?
Answer:
216
Step-by-step explanation:
V = whl =9 · 4 · 6 = 216
Besties helpppp please FASTTT
Answer:
180
Step-by-step explanation:
area of a trapezoid = [tex]\frac{a+b}{2}h[/tex]
where a = base 1
b = base 2
and h = height
This is what we are given
base 1 = 23
base 2 = 37
and height = 6
That being said we plug in the given values into the formula
[tex]A=\frac{37+23}{2} 6\\23+37=60\\\frac{60}{2} =30\\30*6=180[/tex]
Hence the area of the trapezoid is 180 square feet
A warehouse worker is stacking boxes. The height of each box is 20 centimeters. She cannot stack the boxes higher than 5 feet.
1 inch 2.54 centimeters, 1 foot = 12 inches
What is the maximum number of boxes the warehouse worker can stack? Enter the answer in the box.
boxes
Answer:
7 boxes
Step-by-step explanation:
We'll begin by writing convert 5 ft to in. This can be obtained as follow:
1 ft = 12 in
Therefore,
5 ft = 5 ft × 12 in / 1 ft
5 ft = 60 in
Next, we shall convert 60 in to cm. This can be obtained as follow:
1 in = 2.54 cm
Therefore,
60 in = 60 in × 2.54 cm / 1 in
60 in = 152.4 cm
Finally, we shall determine the maximum number of boxes the ware house worker can stack.
Total height = 152.4 cm
Height of 1 box = 20 cm
Number of box =?
Number of box = total height / height of 1 box
Number of box = 152.4 / 20
Number of box = 7
Therefore, the warehouse worker can only stack a maximum of 7 boxes
An angle measuring 60 degrees is measured as 62 degrees. What is the percentage error correct to 3 significant figures?
Answer:
3.33%
Step-by-step explanation:
math stuuf <3
5 dividido en 1.35.
Answer:
3.7
Step-by-step explanation:
if these triangles are similar,name the missing angles, (25 points )
Answer:
170
Step-by-step explanation:
What is the prime factorization for 48?
Answer:
2^4 × 3
Step-by-step explanation:
Missy and Bill were asked to evaluate the expression -3(-2 + 5).
Answer:
-9
Step-by-step explanation:
Answer:
-9
Step-by-step explanation:
using BODMAS, our mathematical operation begins with the bracket.
it implies that from -3(-2+5), we solve the bracket.
-2+5=3
then our mathematical operation is the 'of' operation.
it implies that -3(3) = -9
Answer is -9
:) Find the surface area and volume of the cylinder below:
5 m
22 m
Surface Area:
m?
Volume:
m
Answer: 1727.9
Step-by-step explanation:
Volume = πr2h
= π×52×22
= 550π
= 1727.8759594744 feet3
select all equations that have infinitely many solution
Answer:
1, 2
Step-by-step explanation:
1 and two end up being 0=0 solutions (infinite)
3 is 1 solution.
4 is no solutions.
What is -10 + (-3/4)?
Answers:
-10 3/4
-9 1/4
9 1/4
10 3/4
Answer:
-10 3/4 hope this help
Step-by-step explanation:
Answer:
the first opinion is correct
Step-by-step explanation:
Find the area of the parallelogram. Include formula.
Answer:
24 units²
Step-by-step explanation:
Hi there!
[tex]A=bh[/tex] where b is the base and h is the height of the parallelogram
Plug in 6 as the base and 4 as the height
[tex]A=(6)(4)\\A=24[/tex]
Therefore, the area of the parallelogram is 24 units².
I hope this helps!
Answer:
Given :-Height = 6 cm
Base = 4 cm
To Find :-Area
Solution :-We know that
Area = Base × Height
Area = 4 × 6
Area = 24 in²
[tex] \\ [/tex]
What is the domain of the function on the graph?
Please help: what is 262.3 out of 329 as a percent?
Answer:
79.72644377% is the answer I believe.
find the general solution to "+′−6=3^2
Answer:
answer is -6=9
Step-by-step explanation:
20 points answer pls
Answer: 0.03, 45.6
Step-by-step explanation: for the first question, move the decimal point two points to the right. 0.03 is the first answer. Next, move the decimal point two points to the left, you will get 45.6
a jar holds 3 red, 2 white and 5 green marbles. What is the probability of not drawing out a white one?
Answer:
80%
Step-by-step explanation:
P(not white) = 8/10
is it a solution or not
y = 2x
y = x + 1
find the perimeter of the shaded region
Answer:
13 u²
Step-by-step explanation:
_5) How does the “x + 1" affect the graph in the equation: y = } • (4)*+1 – 37
A) Left 1
B) Right 1
C) Up 1
D) Down 1
Answer:
immma send you the link friend me on here Step-by-step explanation: