The circumference of the circle with a diameter of 40 is approximately 125.6636 units.
To calculate the circumference of a circle, we can use the formula:
Circumference = π * Diameter
Given that the diameter of the circle is 40, we can substitute this value into the formula:
Circumference = π * 40
The value of π (pi) is approximately 3.14159, so we can further simplify the equation:
Circumference ≈ 3.14159 * 40
Calculating this expression gives us:
Circumference ≈ 125.6636
Therefore, the circumference of the circle with a diameter of 40 is approximately 125.6636 units. Note that the unit of measurement is not provided in the question, so the answer is given in generic units.
For more such questions on circumference
https://brainly.com/question/20489969
#SPJ8
20 points! Please help me out here!
HELP ME PLZZZZ!!!!!!!!!!!!!!!!!!
the radius of the distance between the middle point of the circle and the outside, we have the diameter which is 6 so the radius will be 3
slant height is
[tex]\sqrt{r^2+h^2}[/tex]
h is 4.7 and r is 3
[tex]\sqrt{3^2+4.71^2} \\5.58427[/tex]
slant height is 5.58427
lateral surface area
[tex]\pi r\sqrt{h^2+r^2}[/tex]
[tex]\pi (3)\sqrt{4.71^2+3^2} \\52.63053[/tex]
lateral surface area is 52.63053
total surface area
[tex]\pi r(r+\sqrt{h^2+r^2})[/tex]
[tex]\pi 3(3+\sqrt{4.71^2+3^2})[/tex]
[tex]80.90486[/tex]
total surface area is 80.90486
The slant height of the cone is 5.6km, the total surface area is 50.4πkm, the lateral surface area is 16.8π km.
What is a cone?A cone is a three-dimensional geometric shape with a smooth and curving surface and a flat base, with an increase in the height radius of a cone decreases to a certain point.
The volume of a cone is (1/3)πr²h.
The total surface area of a cone is πr(r + l).
The curved surface area is πrl.
In the given question radius of the cone is (6/2) km = 3 km.
The slant height of the cone is 5.6 km.
The total surface area of the cone is = π×3(3 + 5.6) km.
= 3π(16.8) km.
= 50.4π km.
lateral surface area is = π×3×5.6 km.
= 16.8π km.
learn more about cones here :
https://brainly.com/question/23863102
#SPJ2
find the greatest value of x
Answer:
30°
Step-by-step explanation:
if correct pls mark brainliest
i need help with my homework, and the question is:
what is the equation of line? write in the form y=mx+b
it passes through (2,-5) and its x-intercept is 4.
Answer:
When the line intercepts the x axis, this means that y will be 0.
therefore the 2 coordinates the line passes through are (2,-5) and (4,0)
given equation of line:
y=mx+b
where m = slope
b = y-intercept.
Let (2,-5) and (4,0) be (x1,y1) and (x2,y2) correspondingly.
slope of line = y1-y2 / x1 - x2
[tex] = \frac{ - 5 - 0}{2 - 4} \\ = \frac{ - 5}{ - 2} \\ = \frac{5}{2} [/tex]
Now substitute x = 4, y = 0 and m = 5/2 into equation of line to find b.
[tex]0 = ( \frac{5}{2} )(4) + b \\ 10 + b = 0 \\ b = 0 - 10 \\ = - 10[/tex]
therefore equation of line will be:
[tex]y = \frac{5}{2} x - 10[/tex]
Find the area of the following shapes
Area of small rectange = 7 cm × 4 cm = 28 cm sq
Area of bigger rectangle = 4cm×10 cm = 40 cm sq
Area of traingle = 1/2 × 8*3 cm sq = 12 cm sq
total area of polygon = ( 28 + 40 + 12 ) cm sq
area of polygon = 80 cm sq
in the equation shown, what is the value of x?
Answer:
5^8/5^x=5^6 the asnwer is 2
20/22 is the tangent value of which reference angle
Answer:
X
Step-by-step explanation:
Mathematically, the tangent of an angle is the ratio of the opposite side to the adjacent side
So, for 20/22; 20
is the opposite while 22 is the adjacent
The opposite side simply refers to the side that faces the given angle
We have the opposite side here as facing the angle X and that makes X the correct answer
Help ASAP! 40 points plus brainly !
Step-by-step explanation:
use the distance formula. calculate the distance between AB and then between CD showing AB = CD.
then use the distance formula on BC and AD, showing they are equal.
d=√((x_2-x_1)²+(y_2-y_1)²)
Pls help and thank youuuu
Answer:
-3
Step-by-step explanation:
3 cubed is 27 and since its a negative integer you keep the (-) symbol.
The would have been 3 if it asked for the negative cube root of -27
Find the volume of a pyramid with a square base with a perimeter of the base is 5.7 cm in the height of the pyramid is 8.6 
Answer:
try 28.4 inches to the 3rd power
Step-by-step explanation:
one can of waterproofer covers 100 square feet. you want to apply two coats of waterproofer to the wooden crates. How many cans of waterproofer do you need?
Answer:
Hello! its 1
Step-by-step explanation:
Jeffery is making a wall design with tape. How much tape does he need to put the design shown on his wall? Explain how you used the information in the diagram to find your answer
Answer:
I can't see the diagram could you attach it
Step-by-step explanation:
The shape below is made of a semicircle and a triangle.
2)
16 cm
12 cm
Determine the area of this shape
Show your work
Please help me I will give 10 points
Please only correct answers
Answer:
32π + 96 [tex]cm^{2}[/tex] = exact area
196.48 [tex]cm^{2}[/tex] = area to the nearest 100th
Step-by-step explanation:
Area of semicircle = 1/2π[tex]r^{2}[/tex] = 1/2π[tex]8^{2}[/tex] = 1/2π(64) = 32π
Area of triangle = 1/2bh = 1/2(16)(12) = 96
Total area = 32π + 96 [tex]cm^{2}[/tex]
or 100.48 + 96 = 196.48 [tex]cm^{2}[/tex]
32π + 96 cm² = exact area
196.48 cm² = area to the nearest 100th
What is a semi-circle?A semicircle is a one-dimensional locus of points that makes up one half of a circle in mathematics. A semicircle's whole arc is always 180 degrees long. It just has one symmetry line.
Given
Area of semicircle = 1/2πr² = 1/2π(8)² = 1/2π(64) = 32π
Area of triangle = 1/2bh = 1/2(16)(12) = 96
Total area = 32π + 96 cm²
or 100.48 + 96 = 196.48 cm²
To know more about semi-circles refer to:
https://brainly.com/question/10653168
#SPJ2
A random sample of adults was surveyed about whether they shop online. Of the 90 adults surveyed, 72 stated they shop online. What is the 99% confidence interval for p, the proportion of adults who shop online?
Find the z-table here.
(0.72, 0.88)
(0.70, 0.90)
(0.69, 0.91)
(0.68, 0.92)
Answer:
(0.69, 0.91)
Step-by-step explanation:
Hope this helps!
The 99% confidence interval for p is (0.698, 0.902), which is closest to option (B) (0.70, 0.90).
What is a confidence interval?A confidence interval is a range of values that are constrained by the statistic's mean and that are likely to include an unidentified population parameter. The proportion of likelihood, or certainty, that the confidence interval would include the real population parameter when a random sample is drawn several times is referred to as the confidence level.
To find the 99% confidence interval for the proportion of adults who shop online, we need to use the formula:
CI = p ± z√((p(1-p))/n)
where p is the sample proportion (72/90 = 0.8), n is the sample size (90), and z is the z-score corresponding to the 99% confidence level (from the z-table, this is 2.576).
Substituting the values, we get:
CI = 0.8 ± 2.576√((0.8(1-0.8))/90)
Simplifying, we get:
CI = 0.8 ± 0.102
Therefore, the 99% confidence interval for p is (0.698, 0.902).
To learn more about the confidence interval;
https://brainly.com/question/24131141
#SPJ7
The sales tax on clothing in Louisiana is 4% . Calculate how much tax you need to pay on a dress if it costs $19.50 before before tax. Round your answer to the nearest cent.
Answer:
.78 cents
Step-by-step explanation:
To find the tax amount on any number, divide that number by 100 and then multiple it by the tax percentage.
In this case that would look like: $19.50/100 times 4 =.78
Lana is putting lace trim around the
border of a circular tablecloth. The
tablecloth has a diameter of 1.2 meters.
To the nearest meter, what is the least
amount of lace she needs? Use 3.14 for T.
Answer:
[tex]1.2 \times 3.14[/tex]
Step-by-step explanation:
The ratio of a circumference to its diameter is equal to an irrational number, called pi, roughly equal to 3.14, denoted by symbol
[tex]\pi[/tex]
Therefore, knowing the diameter d, the circumference is equal to d*π
Part A
Juanita has an aquarium that is 5 feet long, 4 feet wide, and 2 feet deep.
What is the volume of the aquarium? Enter your answer in the box.
_______ft3
Part B
Juanita fills the tank with water so that it is 1 foot deep. What is the volume of the water?
_______ft3
Answer:
Part A: 40 cubic feet. Part B: 20 cubic feet
Step-by-step explanation:
Part A: 5×4×2 = 40 feet3
Part B: 5×4×1 = 20 feet3
The average petrol consumption of a vehicle is 1 gallon per 35 km. The cost of 1 litre of petrol is $49. Fund the cost of petrol for a journey of 280 km.
(take 1 gallon=4.5 litres)
Step-by-step explanation:
Total petrol consumption of the journey=
Total distance travelled ÷ Average petrol consumption
[tex] = 280 \div 35 \\ = 8 \: gallons[/tex]
Given 1 gallon = 4.5 litres,
[tex]8 \: gallons \: = 8 \times 4.5 \\ = 36 \: litres[/tex]
Total cost of petrol for this particular journey = Petrol consumed x cost of 1 litre of petrol
[tex] = 4.5 \times 49 \\ = 220.50 \: dollars[/tex]
Hypnosis is a state of human consciousness involving a heightened sense of focus and concentration while blocking out sources of distraction. Researchers believe 80% of all people can be hypnotized. A random sample of 50 people showed that 42 of them were hypnotized successfully. Find the p-value and z-score to determine to show that 80% or more can be hypnotized.
a. p = 1.84, z = 0.71
b. p = 1.71, z =1.84
c. p = 0.71, z = 0.84
d. p = 0.76, z = 0.71
A woman is q years old while her son is p years old. the sum of their ages is equal to twice the difference of their ages. the product of their ages is 675.
write down the equations connecting their ages and solve the equations in order to find the ages of the woman and her son. WAEC
Step-by-step explanation:
Given
[tex]q + p = 2(q - p)[/tex]
as equation 1.
I used q-p as the difference as logically the woman will be older than her son.
Also given,
[tex]qp = 675[/tex]
as equation 2.
Using equation 2,
[tex]q = \frac{675}{p} [/tex]
substitute this equation into equation 1.
[tex] \frac{675}{p} + p = 2( \frac{675}{p} - p) \\ \frac{675}{p} + p = \frac{1350}{p} - 2p \\ \frac{675}{p} - \frac{1350}{p} = - 2p - p \\ - 3p = - \frac{675}{p} \\ - 3p \times p = - 675 \\ - 3 {p}^{2} = - 675 \\ {p}^{2} = - 675 \div - 3 \\ {p}^{2} = 225 \\ p = \sqrt{225} \\ = 15[/tex]
Substitute P into equation 2.
[tex]15q = 675 \\ q = 675 \div 15 \\ = 45[/tex]
Therefore the woman is 45 years old while her son is 15 years old.
Can someone explain it to me?
9514 1404 393
Answer:
175.2 square feet
Step-by-step explanation:
The lateral area is the total area of the side faces. It excludes the area of the top and bottom "bases" of the prism.
It can be found by adding the areas of the four rectangles. The two you can't see have the same areas as the two you can see.
Since the height of each rectangle is 4 feet. the total area will be the product of that and the perimeter of the prism.
LA = Ph . . . . perimeter times height
LA = 2(L+W)h . . . . the perimeter is twice the sum of length and width
LA = 2(12.3 ft + 9.6 ft)(4 ft) = 2(21.9 ft)(4 ft) = 175.2 ft²
The lateral area of the prism is 175.2 ft².
__
The attachment shows scribbling on two of the faces that contribute to the lateral area. As stated above, the other two faces are the same size as these.
This is from my algebra class, can anyone can answer this?
Answer:
y = (x + 1)^2 + 2
Step-by-step explanation:
The graph is 2 units up and 1 unit to the left
a = 1 because from the vertex, it goes 1 up when left/right, then 4 up when left/right
What is the distance between (5, -6) and (2, -6) on a coordinate plane?
Answer:
3 units is the answer..
hope it helps
What’s the answer for this
the angle is 37 degrees
Answer:
36.87°
Step-by-step explanation:
tan x= opposite/adjacen
x=tan ^-1(300/400)
x=36.86989765
Question 4
.1 The ratio of boys to girls at an athletics practice is 4:3. There are 49 athletes in total at the
practice. How many boys were at the practice?
2 In a maths class, the girl to boy ratio is 7:5. If there are 20 boys,
how many girls are in the class?
B A car travels from Polokwane to Mokopane at a speed of 100 km/h.
If Mokopane is 150 km from Polokwane, how long will the trip take?
[7]
estion 5
Answer:
1) 28
2) 28
B) 1 and 1/2 hr
How do I do this math problem
the answer to the problem is:
M = 1
Find the measure of angle B
A bike shop in Belleville bought a mountain bike for $723 and marked it up 50% from the original cost. Later on, Andy purchased the mountain bike and paid Belleville sales tax of 14%. How much, including tax, did he pay for the mountain bike?
Answer:
Answer is in a photo.
Step-by-splanation:
Answer:
hey
Step-by-step explanation:
so i dont know
how to solve this and i cant help u
Jayla, Keisha and Melanie are sisters. Keisha is 3 years older than Jayla. Melanie is 3 years older than Keisha. If you add their ages together, you get 42.
1. Write an equation or draw a picture to represent this scenario.
2. How old are the sisters? How do you know?
What is the equation of the line that passes through the point (2,-4)(2,−4) and has a slope of 22?