9514 1404 393
Answer:
(a) P = 44 cm + 18 cm + 18 cm = 80 cm
(b) 396 cm²
(c) (i) see attached: radius = 7 cm; height ≈ 16.58 cm; slant height = 18 cm
(c) (ii) 7 cm
Step-by-step explanation:
(a) The length of arc PQR is given by the formula ...
s = rθ . . . . . where r is the radius and θ is the angle in radians
The angle θ in radians is (140°)(π/180°) = (140)(22/7)/(180) = 22/9
So, the arc length is ...
PQR = (18 cm)(22/9) = 44 cm
Then the perimeter of the figure is ...
P = PQR +RO +OP = 44 cm + 18 cm + 18 cm
P = 80 cm
__
(b) The area of a sector is given by ...
A = 1/2r²θ = 1/2(rs)
A = (1/2)(18 cm)(44 cm) = 396 cm² . . . area of the sector
__
(c) (i) A drawing of the cone is attached. The "slant height" is 18 cm. The radius is found in part (ii) as 7 cm. The height is given by the Pythagorean theorem:
height = √((slant height)² - radius²) = √(18² -7²) = √275
height ≈ 16.58 . . . cm
(ii) The length of arc PQR is the circumference of the base of the cone, given by ...
C = 2πr . . . . where r is the radius of the base of the cone
Filling in the known values, we find ...
44 cm = 2(22/7)r
(44 cm)(7/44) = r = 7 cm . . . . . multiply by 7/44 to find r
The radius of the base of the cone is 7 cm.
Planes X and Yand points J, K, L, M, and N are shown.
Exactly how many planes contain points J, K, and N?
X
O 0
O 1
O 2
03
K
Υ
2
.M
.N
Answer:
0
Step-by-step explanation:
0
Number planes contain points J, K and N is 0. Therefore, option A is the correct answer.
What is a plane?A plane in geometry is a level surface that never ends. Other names for it include a two-dimensional surface. A plane has an unlimited width, an endless length, zero thickness, and no curvature.
Given that, X and Y are planes.
In the given figure, point J lies outside the X and Y planes.
Points K and N are lies on plane X.
So, J, K and N are not lying in the same plane.
Therefore, option A is the correct answer.
Learn more about the coordinate plane here:
https://brainly.com/question/24134413.
#SPJ7
llean works as a welder in web designer as a welder she earns $18 per hour last week she works x hours as a wlder and her Fran paid her $75 to design a webpage.write an expression to represent the total amount llean earned last week
What is the tenth term in the sequence 9, 13, 17, 21, 25…?
A. 29
B. 35
C. 45
D. 49
Answer:
45
Step-by-step explanation:
9, 13, 17, 21, 25
We are adding 4 each time
9+4 = 13
13+4 =17
17+4 = 21
The common difference =4
a1 = 9
The formula is
an = a1+d(n-1) where n is the term number
an = 9+4(n-1)
We want the 10th term
a10 = 9+4(10-1)
= 9+4(9)
= 9+36
= 45
Find the missing side of triangle
Answer:
30.
Step-by-step explanation:
x^2 = 24^2 + 18^2
x^2 = 576 + 324 = 900
x = sqrt900 = 30.
What is the value of l n e Superscript 4
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
Combine and simplify these radicals.
Answer:
4 sqrt(3)
Step-by-step explanation:
sqrt(3) * sqrt(16)
sqrt(3) *4
4 sqrt(3)
Answer: d
Step-by-step explanation: I took the test
The lengths of two sides of a triangle are 11 cm and 19 cm. Identify the range of possible lengths for the third side.
Answer:
2nd option
Step-by-step explanation:
Given 2 sides of a triangle then the third side x is in the range
difference of 2 sides < x < sum of 2 sides , that is
19 - 11 < x < 19 + 11
8 < x < 30
Answer:
8 < x < 30
Step-by-step explanation:
The rule for side lengths of a triangle is:
the sum of two side's must be bigger than the third side and their difference must be smaller than the third side :
19 - 11 < x < 19 + 11
8 < x < 30
(2.75 x 107) + (1.23 x 108) simplify
Answer:
427.09
Step-by-step explanation:
(2.75 x 107) + (1.23 x 108)
294.25 + 132.84 = 427.09
HELP PLEAAASEEEEE
Can someone find the domain and range of this function PLEASE
y = 2/x + 3
Answer:
The domain is the whole R-{0} and the range is R
Penelope earned $50 in May. She earned $60 in June.
What is the percent increase or decrease in Penelope's monthly earnings?
O A. 30% decrease
O B. 25% increase
O C. 20% decrease
O D. 20% increase
Answer:
20% Increase
Step-by-step explanation:
Percentages can be put vice versa. So 20% Of 50 = 50% Of 20 Which Equals 10.
Mark me as brainliest please
hlppppppppppppppp mehhhhhhhhhhhhhhh
Answer:
120
Step-by-step explanation:
Given,
t = 2
s = 10
3 t^2 s
= 3 x 2^2 x 10
= 3 x 4 x 10
= 120
Answer:
Step-by-step explanation:
Hello!
t² = 2²=4
3*4*10 = 120
If angle DCA measures 65 degrees, then angle ACB measures _____ degrees.
90
25
65
DCB form a right angle which is 90 degrees.
The two inside angles need to equal 90
ACB = 90-65 = 25
Answer: 25
Answer:
25
Step-by-step explanation:
its correct
if a = 4 b = 5 find the value of a^2+ab^2+y^2
Answer:
121
Step-by-step explanation:
Given,
a = 4
b = 5
a² + ab² + b²
= 4² + 5 x 4² + 5²
= 16 + 80 + 25
= 121
factorise 12x²+15xy.
Answer:
3x(4x+5y)
Step-by-step explanation:
to factorise this equation you have to remove the common terms,or the common factors in this case the common factor for both sides is 3 and the common letter is x
12x²+15xy
3x(4x+5y)
I hope this helps
On a 100 cm measuring stick, marks are made at 19, N, and 99 cm, from left to right. The distance between the marks at N and 99 cm is three times the distance between the marks at N and 19 cm. What number is N?
HELP IM STUCK
Answer:
N is 39
Step-by-step explanation:
The distance between 99 and 19 is:
99 - 19 = 80
So, you can split the stick in 4 parts, one part between 19 and N, and 3 times this same part you'll have the distance between N and 99
So 80/4 = 20
19 + 20 = 39
N is 39
Help me with this pls IM FAILING PYTHAGOREAN THEOREM
Answer: 33
Work Shown:
Apply the pythagorean theorem to get
[tex]a^2 + b^2 = c^2\\\\x^2 + 44^2 = 55^2\\\\x^2 + 1936 = 3025\\\\x^2 = 3025 - 1936\\\\x^2 = 1089\\\\x = 33[/tex]
The graph below could be the graph of which exponential function?
Answer:
B
Step-by-step explanation:
The revenue, in dollars, of a company that manufactures televisions can be modeled by the polynomial 3x²+180x . The cost, in dollars of producing the televisions can be modeled by 3x² - 160x +300. The variable x is the number of televisions sold. If 150 televisions are sold, what is the profit?
We use the profit concept, and doing this, it is found that if 150 televisions are sold, the profit is $50,700.
-------------------------------------------
Profit is given by revenue subtracted by cost.
In this question:
Revenue: [tex]R(x) = 3x^2 + 180x[/tex]Cost: [tex]C(x) = 3x^2 - 160x + 300[/tex]Thus, the profit of selling x televisions is:
[tex]P(x) = R(x) - C(x)[/tex]
[tex]P(x) = 3x^2 + 180x - (3x^2 - 160x + 300)[/tex]
[tex]P(x) = 3x^2 + 180x - 3x^2 + 160x - 300[/tex]
[tex]P(x) = 340x - 300[/tex]
-------------------------------------------
For 150 televisions, we have P(150), so:
[tex]P(150) = 340(150) - 300 = 50700[/tex]
If 150 televisions are sold, the profit is $50,700.
A similar question is given at https://brainly.com/question/14469903
Express 4 in simplest radical form.
Answer:
2
Step-by-step explanation:
A 20kg patient requires a 500 mg dose of a particular drug solution contains 100 mg/tsp. How many milliliters of the solution should be given to the patient to deliver the required dose?
Answer:
The answer is "25 ml".
Step-by-step explanation:
Dose[tex]= 500 \ mg\\\\[/tex]
Solution [tex]= 100\ \frac{mg}{teaspoonful}\\\\[/tex]
Calculating the Conversions:
Teaspoonful [tex]= 5 \ ml \ \text{(Ounce = 30 ml = 6 Tablespoonsful)}[/tex]
[tex]\therefore\\\\Solution = \frac{100\ mg}{ 5\ ml} = 20\ \frac{mg}{ml}\\\\Dose \ volume = \frac{500\ mg}{ 20\ \frac{mg}{ml}} = 25\ ml[/tex]
Need answer asap algebra 2 math
Answer:
B
Step-by-step explanation:
f(x) = 2x^2 - 4x + 5 Put brackets around the first 2 terms.
f(x) = (2x^2 - 4x) + 5 Take out the common factor of 2
f(x) = 2(x^2 - 2x) + 5 1/2 the second term and square.
f(x) = 2(x^2 -2x + (2/2)^2) + 5 Express brackets as a perfect square.
f(x) = 2(x - 1)^2 + 5 Multiply 2 * 1 (the term without an x. Subtract.
f(x) = 2(x - 1)^2 + 5 - 2 Combine
f(x) = 2(x - 1)^2 + 3
hurry up pls!!! i need some help quick fast plssss!!!!
Answer:
45
Step-by-step explanation:
9 x 5 = 45
it's a multiplication question
Find the surface areas of each figure. Round your answers to the nearest tenth, if necessary
Answer:
345.6 mi^2
Step-by-step explanation:
S.A = 2πrh+2πr^2
= 2π(5)(6) + 2π(5)^2
= 345.6 mi^2
Answered by G a u t h m a t h
Find the length of x. Assume the triangles are similar.
A. 2.5
B. 4.4
C. 4.0
D. 3.5
Answer:
the answer is get to be D-3.5
evaluate expression: evaluate each expression when a = "-2" b=4 and c=-10
2a+b
ac-b
a+b/a
8a+5b
-4a-b
3c/-5
Answer:
2a+b=0
ac-b=16
a+b/a=-4
8a+5b=-4
-4a-b =4
3c/-5=6
Using the box-and-whisker plot shown, find the maximum, minimum, and median values.
Hi, I'm happy to help!
for a box an whisker plot, maximum and minimum values on the edge of the lines. The maximum shown here is 8, because the line ends there. The minimum is -8 because the line ends there.
The median value is shown by the middle line, which is 4.
To sum it up: Maximum: 8, Minimum: -8, Median: 4\
I hope this was helpful, keep learning! :D
Select the best answer to describe the parabola
Answer:
B
Step-by-step explanation:
It opens downwards, so the parabola is negative. This also means the vertex of the parabola is the highest point, therefore it is a maximum.
1. The mayor of the city of Cleveland wants to increase taxes in order to invest in a light-rail transit system. She hires a polling agency to randomly
select 750 registered voters in the city to survey in order to determine the maximum percentage increase in municipal taxes that they would
approve. What is the population in this survey and the population parameter?
All American citizens and the maximum percentage increase in taxes
750 registered voters in Cleveland and the average light-rail transit cost per mile
O All registered voters in Cleveland and the maximum percentage increase in taxes
O Citizens over 65 years of age in Cleveland and the 750 registered voters
Answer:
All registered voters in Cleveland and the maximum percentage increase in taxes
what is meant by derivative
Answer:
its basically just rate of change or slope. with derivatoves you can find the slope of a tangent line which is a line that touches the curve at a point.
what is the total cost
Answer:
u watch Naruto
Step-by-step explanation:
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