Answer:
Area of figure = 11.43 unit² (Approx.)
Step-by-step explanation:
Given:
Length = 6 unit
Width = 4 unit
Radius = 4/2 = 2 unit
Find:
Area of figure
Computation:
Area of figure = Area of rectangle - 2[Area of hemisphere]
Area of figure = [l x b] - 2[(πr²)/2]
Area of figure = [6 x 4] - 2[(3.14 x 2²)/2]
Area of figure = 24 - 12.57
Area of figure = 11.43 unit² (Approx.)
A recipe for potato casserole calls for 7/4 cups of cheese. Write the fractions as a mixed number.
if y=10 when x=5 what does y equals when x=0.2
Answer:
.4
Step-by-step explanation:
y=2x
y=2(.2)
y=.4
there is your answer
Find the area of the figure. 8.5 cm 9.5 cm 24 cm The area of the figure is_______cm2
Answer:
432 is the blank
Step-by-step explanation:
I just did this problem
Which algebraic expression is a polynomial with a degree of 5?
3x5 + 8x4y2 – 9x3y3 – 6y5
2xy4 + 4x2y3 – 6x3y2 – 7x4
8y6 + y5 – 5xy3 + 7x2y2 – x3y – 6x4
–6xy5 + 5x2y3 – x3y2 + 2x2y3 – 3xy5
Help please due in 25 minutes !!!
Answer:
Option B is correct from question point of view..Angle AOC has the measure of 87°, determine the measure of the angle in radians.
Answer:
1.518 radians is the answer.
Step-by-step explanation:
Degree to radian conversion = 1° × [tex]\frac{\pi }{180}[/tex]
87° × [tex]\frac{\pi }{180}[/tex]
1.518 radians
point b is 8 units away for the origin
Answer:
ok
Step-by-step explanation:
10 x 3 thousands how many thousands are in the answer
Answer:
30 thousands, or 30,000 units.
Step-by-step explanation:
Since the question refers to 10 x 3 thousands, to determine how many thousands are in the answer, the following calculation must be performed:
10 x 3 = 30
So there are 30 thousand in the answer, which is equal to 30,000.
Simplify 3^2 ⋅ 3^5
^ = are exponents
A 3^7
b
3^10
c
9^7
d
9^10
Answer:
B
Step-by-step explanation:
when simplifying base stays the same we only deal with exponent I think I need help too
Write an equation in slope-intercept form for the line with slope -3/4 and y-intercept for 3
Answer:
y=-3/4x+3
Step-by-step explanation:
The formula is y=mx+b
m is the slope
b is the y-intercept
If you plug it in, you get y=-3/4x+3
Hope this helps!
Please verify the following trigonometric identities.
1. [tex]\frac{\tan x + \tan y}{\cot x + \cot y} = \tan x + \tan y[/tex]
2. [tex]\frac{\sin^3x + \cos^3x}{\sin x + \cos x} = 1 - \sin x \cos x[/tex]
3. [tex]\tan(\frac{x}{2}) + \cos x \tan(\frac{x}{2}) = \sin x[/tex]
Seems like there is a correction in the first question (RHS is tanx.tany)
(i) For convenience: let tanx = a ; tany = b
Thus, tanx + tany = a + b
Moreover, cotx = 1/tanx = 1/a ; coty = 1/b
Thus,
cotx + coty = 1/a + 1/b = (a + b)/ab
Hence,
=> (tanx + tany)/(cotx + coty)
=> (a + b) / { (a + b)/ab }
=> ab(a + b)/(a + b)
=> ab => tanx.tany , proved.
(ii) For convenience: let sinx = a ; cosx = b
As we know, sin²x + cos²x = 1 => a²+b²=1
=> (a³ + b³)/(a + b)
=> (a + b)(a² + b² - ab) / (a + b)
=> (a² + b² - ab)
=> 1 - ab => 1 - sinx.cosx , proved
(iii): let x/2 = A
=> tan(x/2) + cosx.tan(x/2)
=> tanA + cos2A.tanA
=> tanA [1 + cos2A]
=> tanA (2cos²A) {1+cos2A = 2cos²A}
=> (sinA/cosA) (2cos²A)
=> sinA (2cosA)
=> 2sinAcosA
=> sin2A
=> sin2(x/2)
=> sinx proved
Letting x/2 = A is not mandatory. I did it to decease words*(in a line).
Indentities used:
• sin²A + cos²A = 1
• (a³ + b³) = (a + b)(a² + b² - 1)
• 1 + cosA = 2 cos²(A/2)
• tanA = sinA/cosA.
• 2sinAcosA = sin2A
There are five blue crayons, seven yellow crayons, and eight red crayons in a box. If one is randomly drawn and replaced 15 times, find the probability of drawing exactly four blue crayons.
0.2252
(Please mark me brainliest! thank you in advance!!)
if sinθ = A, find cos(π/2-θ)
(using trigonometric identities to fine the value)
Answer:
Cos(π/2 - θ) = A
Step-by-step explanation:
We know that:
Sin(θ) = A
And we want to find the value of Cos(π/2 - θ)
Here we can use the cosine relationship:
Cos(a - b) = Cos(a)*Cos(b) + Sin(A)*Sin(B)
Then:
Cos(π/2 - θ) = Cos(π/2)*Cos(θ ) + Sin(π/2)*Sin(θ)
We know that:
Cos(π/2) = 0
Sin(π/2) = 1
Then:
Cos(π/2 - θ) = Cos(π/2)*Cos(θ ) + Sin(π/2)*Sin(θ) = 0*Cos(θ ) + 1*Sin(θ)
= 1*Sin(θ) = A
Cos(π/2 - θ) = A
WILL GIVE BRAINLST
HAVE A AMAZING DAy !!
Answer:
u 2
and stay positive :)
Step-by-step explanation:
Hello! I do not know if you meant to put up a question, but I also hope that you have an amazing day! :)
is this a function ???????
An automobile engineer is redesigning a conical chamber that was originally specified to be 12 inches long with a circular base of diameter
5.7 inches. In the new design, the chamber is scaled by a factor of 1.5.
The volume of the original chamber is
V cubic inches. This i
v cubic inches less than the volume of the new
chamber.
Answer:
the original volume is lesser than the new volume by 242.47 in³
Step-by-step explanation:
Volume of a cone is;
V = ⅓πr²h
Where;
r is radius
h is height
For the original chamber;
r = 5.7/2 = 2.85 inches
h = 12 inches
Volume of this original chamber is;
V_orig = ⅓ × π × 2.85² × 12
V_orig = 102.02 in³
In the new design, the chamber is scaled by a factor of 1.5.
Thus;
r_new = 2.85 × 1.5 = 4.275 inches
h_new = 12 × 1.5 = 18 inches
V_new = ⅓ × π × 4.275² × 18
V_new = 344.49 inch³
V_new - V_orig = 344.49 - 102.02 =
Thus, the original volume is lesser than the new volume by 242.47 in³
What is the volume of the cone to the nearest cubic millimeter (use pi)
I really need help Will give brainyest!!!
Answer:
C.
Step-by-step explanation:
The median is the middle line of the box. 30 is for Town A and 40 is for Town B. 30 is less than 40
What is the recursive formula for this arithmetic sequence?
-7, -1, 5, 11, ...
Answer:
The answer is A
Step-by-step explanation:
why it is a is...
the first like is the # your arithmetic sentence starts with which is -1
the second line is what you do to get to the next #
each time you are adding 6
An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference. The correct option is A.
What is an arithmetic sequence?An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.
The explicit formula for any arithmetic series is given by the formula,
[tex]a_n = a_1 + (n-1)d[/tex]
Also, the recursive formula for any arithmetic series is given by the formula,
[tex]a_n = a_{(n-1)} + d\\\\[/tex]
Or, it can be also written as,
[tex]a_{(n+1)} = a_{n} + d[/tex]
where d is the difference and a₁ is the first term of the sequence.
For the given arithmetic sequence, the common difference can be written as,
Common difference = -1 - (-7)
= -1 + 7
= 6
Now, the recursive formula for this arithmetic sequence can be written as,
[tex]a_n = a_{(n-1)} + 6[/tex]
Also, the first term of the given arithmetic series is -7.
a₁ = -7
Hence, the correct option is A.
Learn more about Arithmetic Sequence:
https://brainly.com/question/3702506
#SPJ5
Jason launched a rocket for a physics experiment. This equation can be used to find
the height (h), in feet, of the rocket after t seconds.
h = -16t2 + 288t + 8
How many seconds will it take for the rocket to reach a height of 1,304 feet?
Answer:
5.063 seconds
Step-by-step explanation:
Use a graphing calculator to graph, then use the table functions to solve for 1304
or say
1304= rest of equations and solve for X
1+1=???????????????????
Answer:
I.d.k I think 1 :)
Step-by-step explanation:
have a great day
Write an equation from a real life situation
1. A membership at a yoga studio costs $35 per month, m. Write an equation to find the final cost, c?
2. After you wrote your equation, answer this question. Show your work.
" You attended the yoga studio for 20 months. What was the final cost?
Answer:
1. C=35m?
2.C=700 or $700
Step-by-step explanation:
1. Total Cost= Rate x Number of Months
2. C=35m
Cost=rate x number of months
C=35(20)
C=700 or Total Cost=$700
Answer:
1. c = 35m
2. c = 35 · 20
20 · 35 = $700
Step-by-step explanation:
CAN YOU ANSWE QUESTION 1 and 2 please??
Answer:
B. $700
Step-by-step explanation:
The answer is A because.....
Step 1: Find the 7% of 2000.
a.) 7% of 2000 is 140.
b.) Check- So: 140/2000= 0.07 (7%)
Step 2: Multiply 140x5 which equals $700.
Although, I can’t really see the second question‘s options, as the calculations made for the previous question, she paid $140 each year.
I rlly hope this is helpful! If so, please, please, please mark brainliest! Thanks! :)
Answer:
c
Step-by-step explanation:
A? is a graphical display of a set of data where each separate piece of data is shown as a
mark above a number line.
Answer:
dot plot a visual display in which each piece of data is represented by a dot above a number line.
Step-by-step explanation:
A physical examination was used to screen for breast cancer in 7600 women with biopsy proven adenocarcinoma of the breast and in 11,000 age and race matched control women. The results of the physical examination were positive (i.e. a mass was palpated) in 5,500 cases and 1,700 control women (who showed no evidence of cancer at biopsy). The total population is 18,600. The sensitivity of the physical examination was:______.
Answer:
72.37%
Step-by-step explanation:
Calculation for what The sensitivity of the physical examination was
Using this formula
Sensitivity=Positive physical examination cases/Physical examination screening for breast cancer
Let plug in the formula
Sensitivity=5,500 cases / 7600 women
Sensitivity=0.7237*100
Sensitivity=72.37%
Therefore The sensitivity of the physical examination was 72.37%
Answer:
72.37% is the answer for this
3/5 x ?/? = 3/5 plz im on a test!
Answer:
Dont say its a test youll get reported and banned by brainly
Step-by-step explanation: also the answer is: 3/5 x 3/5 = 925 = 0.36
Answer: 1/1
Step-by-step explanation:
1/1 because it = 1 so that means 3/5 x 1/1 is 3/5
If DB = 18cm and AC = 24cm, Use the properties of rhombus to find the length of one side of the rhombus please helppp!!!!
Answer:
15 cm
Step-by-step explanation:
You need to remember 2 theorems about a rhombus.
1. The diagonals of a rhombus bisect each other
2. The diagonals of a rhombus are perpendicular to each other
In other words, the diagonals of a rhombus are perpendicular bisectors.
BE = 9 and AE = 12
ΔAEB is a right triangle. So, the Pythagorean theorem says
[tex]9^{2} + 12^{2} = AB^{2}[/tex]
[tex]AB^{2}[/tex] = 81 + 144
= 225
AB = [tex]\sqrt{225} = 15[/tex] cm
2. Three pairs of jeans and six shirts cost $104.25. The cost of 4 pairs of jeans and 5 shirts
is $112.15. Find the cost of each pair of jeans and each shirt.
Answer:jeans = x = 16.85
shirts = y = 8.95
Step-by-step explanation:
That’s the answer bud
PLEASE HELP NO WRONG ANSWERS
Answer:
I believe it's C
Step-by-step explanation:
[tex]\\ \sf\longmapsto Area=30x^2-53x+12[/tex]
[tex]\\ \sf\longmapsto Area=30(3)^2-53(3)+12[/tex]
[tex]\\ \sf\longmapsto Area=30(9)-159+12[/tex]
[tex]\\ \sf\longmapsto Area=270-159+12[/tex]
[tex]\\ \sf\longmapsto Area=111+12[/tex]
[tex]\\ \sf\longmapsto Area=123[/tex]
And
[tex]\\ \sf\longmapsto Base=4x-6[/tex]
[tex]\\ \sf\longmapsto Base=4(3)-6[/tex]
[tex]\\ \sf\longmapsto Base=12-6=6[/tex]
Now
[tex]\\ \sf\longmapsto Area=\dfrac{1}{2}bh[/tex]
[tex]\\ \sf\longmapsto \dfrac{1}{2}6h=123[/tex]
[tex]\\ \sf\longmapsto 3h=123[/tex]
[tex]\\ \sf\longmapsto h=\dfrac{123}{3}[/tex]
[tex]\\ \sf\longmapsto h=41[/tex]
знайдіть розв'язок системи лінійних рівнянь 10x-6y = 18 9x+6y=39
Answer:
(-21, -38)
Step-by-step explanation:
Given the simultaneous equation
10x-6y = 18 ... 1
9x+6y=39 ...2
Using the Elimination method
Subtract
10x - 9x = 18 - 39
x = -21
substitute x = -21 into 1;
From 1:
10x-6y = 18
10(-21)-6y = 18
-210 - 6y = 18
-6y = 18+210
-6y = 228
y = 228/-6
y =-38
Hence the solution to the system is (-21, -38)