Answer:
112.5°
Step-by-step explanation:
Let the radius of the arc constructed with diameter AB be R while the radius of the arc constructed with diameter BC be r.
BC = AB/2, therefore, r = R/2
The area of the semicircle with arc AB is given as:
Area 1 = πR²/2 = π(2r)²/2= 2πr²
The area of the semicircle with arc BC is given as:
Area 2 = πr²/2
The sum of the two area is given as:
Total area = Area 1 + Area 2 = πr²/2 + 2πr²
Total area = 5πr²/2
Segment CP splits the region into two sections of equal area. Therefore half of the total area = (5πr²/2)/2 = 5πr²/4
The area of a sector is given by:
[tex]Area \ of \ a\ sector =\frac{\theta}{360}*\pi r^2 \\but\ the\ radius\ of\ cp = R\\Area \ of \ sector\ cp =\frac{\theta}{360}*\pi R^2 \\\frac{5}{4}\pi r^2=\frac{\theta}{360}*\pi (2r )^2 \\\\ \frac{5}{4}\pi r^2=\frac{\theta}{360}*4\pi r^2 \\\frac{\theta}{360}=\frac{5}{16}\\ \theta=112.5^0[/tex]
pppppplzzz HELPS ME!!!!
The answer is B)
Explanation:
In the equation 7(2B + J), the 7 indicates the seven days in a week, and the J indicates the money spent on juice. Thus, the B must represent the money spent on granola bars.
a plastic storage container has a base which is 70 centimetres long and 30 centimetres wide the container is 50cm. high and has no lid calculate the amount of plastic needed to manufacture this box
Answer:
The asnwer is 12100 cm^2 of plastic without lid
Step-by-step explanation:
There 6 sides in a box, but there is no lid so only 5 sides.
Calulate the area of all 5 sides and add them up.
( ( 50 x 30) x 2 ) +( ( 70 x 50 ) x 2) + ( 70 x 30 )
=12100 cm^2
y
5
One of the solutions of the system of equations shown in
the graph has an x-value of -4. What is its corresponding
integer y-value?
4+
UCAT
ETEN
2
1
3
5 4 3 2
1
2
3
4
5
X
HERE
-2 +
-3
3
-4
-5
Answer:
-3
Step-by-step explanation:
The data points for equation A are graphed on the coordinate plane below and are connected by using a straight line. On a coordinate plane, a line goes through (0, negative 2) and (2, 4). What is the solution to the system of equations? (–2, –8) (–1, –5) (0, –2) (2, 4)
Answer:
(–1, –5)
Step-by-step explanation:
Two linear equations are represented by using the tables below. A 2-column table with 4 rows titled Equation A. Column 1 is labeled x with entries negative 2, 0, 3, 4. Column 2 is labeled y with entries negative 8, negative 2, 7, 10. A 2-column table with 4 rows titled Equation B. Column 1 is labeled x with entries negative 3, negative 1, 1, 5. Column 2 is labeled y with entries negative 9, negative 5, negative 1, 7. The data points for equation A are graphed on the coordinate plane below and are connected by using a straight line. On a coordinate plane, a line goes through (0, negative 2) and (2, 4). What is the solution to the system of equations? (–2, –8) (–1, –5) (0, –2) (2, 4)
Answer: To find the equation of line A, we can use any two points. Let us use points (-2, -8) and (0, -2). Therefore, the equation of line A can be gotten using the equation:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\ Substituting:\\y-(-8)=\frac{-2-(-8)}{0-(-2)}(x-(-2))\\y+8=3(x+2)\\y+8=3x+6\\y=3x+6-8\\y=3x-2[/tex]
To find the equation of line B, we can use any two points. Let us use points (-3, -9) and (-1, -5). Therefore, the equation of line B can be gotten using the equation:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\ Substituting:\\y-(-9)=\frac{-5-(-9)}{-1-(-3)}(x-(-3))\\y+9=2(x+3)\\y+9=2x+6\\y=2x+6-9\\y=2x-3[/tex]
To find the solution to the system of equations, we solve them simultaneously
y = 3x - 2 . . . 1)
y = 2x - 3 . . . 2)
Subtracting equation 2 from 1:
x + 1 = 0
x = -1
Put x = -1 in equation 1)
y = 3(-1) - 2
y = -3 - 2
y = -5
Therefore the solution to the equation is (-1, -5)
the correct answer is B (–1, –5)
Help!
In a certain distribution, the mean is 100 with a standard deviation of 5. At least what fraction of the numbers are between the following pair of numbers ? 80 and 120.
Answer:
Step-by-step explanation:
To solve for this we would be using z score formula
z = (x - μ) / σ
x = raw score
μ = mean
σ = Standard deviation
We are told in the question to find the fraction of numbers between 80 and 120
let x1 = 80 and x2= 120 with the mean μ = 100 and standard deviation σ = 5.
z1 = (x1 - μ) / σ = (80-100) / 5 = -20/5 = -4
z2 = (x2 - μ) / σ = (120 - 100) / 5 = 20/5 = = 4
From tables, P(z <= -4) = 0.00003
P(z <= 4) = 0.99997
Then, the probability would give us, P(-4 ≤ z ≤ 4) = 0.99997 - 0.99997 =
5. Could the equations y = 2x – 5 and
4x + y = –2 be written so they have similar
structure? Explain.
Answer:
Yes they can. y= -4x-2 and y= 2x-5
Step-by-step explanation:
They can because if you subtract 4x from 4x+y=-2 from both sides of the equation you will get y= -4x-2 which has similar structure as y=2x-5 because you have y on the right side and the x and the conosant on the left.
Answer: yes.
y = 2x - 5. and y = -4x -2
Step-by-step explanation. This is commonly known as slope intercept form . The second equation is rewritten by subtracting 4x from both sides.
can y’all please help me
Answer:
1st blank: 160(2) - 16(2)²
2nd blank: 256
3rd blank: 5
4th blank: 400
5th blank: 10
Step-by-step explanation:
h(x) = -16x² + 160x
To find h(2) just replace x = 2 into the equation
h(2) = 160(2) - 16(2)² = 256 in
The maximum height coincides with the vertex of the parabola.
x-coordinate of the vertex: -b/(2a) = -160/[2*(-16)] = 5
y-coordinate of the vertex: -16(5)² + 160(5) = 400
To hit the ground means h(x) = 0
-16x² + 160x = 0
16x(-x + 10) = 0
x = 0
or
-x + 10 = 0
x = 10
Which equation matches the graph shown?
Please help me with question six tyyy
Answer:
4.25 light years = 4.02 × [tex]10^{13[/tex] kilometres
Step-by-step explanation:
1 light year = [tex]9.46 * 10^{12[/tex] kilometres
So,
4.25 light years = 9.46 × 4.25 × [tex]10^{12[/tex] km
4.25 light years = 4.02 × [tex]10^{13[/tex] kilometres
Answer:
4.25 light years
Step-by-step explanation:
write 2/51 as a percentage.
Round your answer to the nearest tenth of a percent
Answer:3.921568627451%
Step-by-step explanation: convert it
Hey guys! I need help ASAPPPP thanks, if u do :)
{5,9,13,17,21,25,...}
How to write condition?
Answer:
Step-by-step explanation:
is an arithmetic progression with ratio=4
a1=5
a2=a1+4=5+4=9
a3=a2+4=9+4=13
...............
a n+1 = a n+4
the condition can be written as the set of sequence of numbers from 5 to infinite which are written from nth term 4n + 1.
• How many 5 inch pieces of wood can
you cut* from a board that is 4 feet
long
Answer:
9
Step-by-step explanation:
To find the answer, first convert 4 ft. to inches. 4 ft.= 48 in. Now, you divide 48÷5. 48÷5=9 3/5, or 9.6, but you can't cut a sixth of a board. Therefore, the answer is 9.
Hope this helps!
Answer: 9 pieces
Step-by-step explanation:
First, convert 4 feet to inches. 4 ft = 48 in.
Then, divide 48 in by 5 in. 48/5 is 9.6 in
But since you can't cut the board into sixths the answer is 9.
SOMEONE PLEASE HELP ME ASAP PLEASE!!!
Answer:
Valid
Step-by-step explanation:
No calculations, but,
Def. of isosceles triangle= two congruent sides.
yes is isosceles
Step-by-step explanation:
valid
Yaping played 5 rounds of golf and her mean score was 80. Ken played 4 rounds of golf. If both Yaping and Ken have the same sum of golf scores, what was Ken’s mean score?
Answer:
The mean score for Ken was 100.
Step-by-step explanation:
The mean score is given by the sum of the scores in each round by the number of rounds played. So for Yaping the mean score is:
[tex]\text{mean}_{\text{Y}} = \frac{\text{sum}}{5}\\\frac{\text{sum}}{5} = 80\\\text{sum} = 5*80 = 400[/tex]
So the sum of the scores for Yaping was 400, since Ken had the same sum of score we can use that number to find his mean as shown below:
[tex]mean_{K} = \frac{400}{4} = 100[/tex]
The mean score for Ken was 100.
2(x+3)=x-4 i really need help on this plss
Answer:
X = -10Step-by-step explanation:
[tex]2(x + 3) = x - 4[/tex]
Multiply each term in the parenthesis by 2
[tex]2 x + 6 = x - 4[/tex]
Move variable to L.H.S and change its sign
[tex]2x - x + 6 = - 4[/tex]
Move constant to R.H.S and change its sign
[tex]2x - x = - 4 - 6[/tex]
Calculate
[tex]x = - 10[/tex]
Hope this helps...
Good luck on your assignment...
20 POINTS! An 85-foot wire is tied from the top of a utility pole to the top of the building as shown. Find d, the distance from the pole to the building.
Answer:
d = 78.810 feetStep-by-step explanation:
To find the distance d we use sine
sin∅ = opposite / hypotenuse
d is the opposite
the hypotenuse is 85ft
∅ = 68°
sin 68 = d / 85
d = 85 sin 68
d = 78.810 feet
Hope this helps you
Given the following three arithmetic sequences : 1, 3, ... and 1, 4, ... and 1, 5, ... A number is randomly selected from 1 to 1000, inclusive. What is the probability that the selected number is not a term of any of the given sequences?
Answer:
0.333
Step-by-step explanation:
The first sequence starts at 1 and has a common difference of 2. It will include every odd number in the range.
__
The second sequence starts at 1 and has a common difference of 3. It will include odd numbers and the even numbers 4, 10, 16, .... That is, all even numbers of the form 6n -2 will be included. The last one corresponds to the largest value of n such that ...
6n -2 ≤ 1000
6n ≤ 1002
n ≤ 167
That is, 167 even numbers will also be excluded.
__
The third sequence starts at 1 and has a common difference of 4. Every number in this sequence is also a number in the first sequence.
__
So the numbers in these sequences include all 500 odd numbers and 167 even numbers, for a total of 667 numbers. The probability that a randomly chosen number is not in one of these sequences is ...
(1000 -667)/(1000) = 333/1000 = 0.333 . . . . p(not a sequence term)
Answer:
1/3
Step-by-step explanation:
In how many ways can you put seven marbles in different colors into two jars? Note that the jars may be empty.
Answer:
128
Step-by-step explanation:
You have two jars and seven marbles.
You do [tex]2^{7}[/tex].
That is 128
If the gradient is negative or positive how will it be Please i need it now! Thanks
Answer:
A gradient is negative if it goes down to the right corner and positive if it goes up to the right corner of a graph.
Step-by-step explanation:
Fill in the missing amounts.
Answer:July: 10 August: 0 Sept: 100 October: 165 Nov: 750 Dec:65
Step-by-step explanation:
Hope this helped!
<!> Brainliest is appreciated! <!>
Answer:
July: 10 August: 0 Sept: 100 October: 165 Nov: 750 Dec:65
Step-by-step explanation:
hope this help
IN URGENT NEED OF HELP. PLEASE HELP.
Answer:
533 sq. ft.
Step-by-step explanation:
First find the area of the rectangle on the bottom:
22*13=286
Then in your head move the triangle on the right to the other side to create a triangle (if this doesn't make sense tell me in a comment)
It will turn into a rectangle that is 13 by 19 so find the area of that:
13*19=247
Then add the areas together:
286+247=533
Beth wrote a system of equations to determine when a referee will earn the same salary working the East Conference and West Conference games. y = 40x − 25 and y = 35x − 5 (x = total games and y = amount earned) Beth determined that at 135 games, the referee would earn the same salary for each conference game. Is she correct?
Answer:
She is incorrect
Step-by-step explanation:
Step 1: substitute
135 into x in both equations
Step 2: Solve the equations. Once you do this you will get y = 5375 for the first one and y = 4720 for the second one, therefore she is incorrect
Find the missing side of each triangle.
A) 17 ft
B)9ft
C)8ft
D) 19 ft
10 POINTS !!!
Answer:9ft
Step-by-step explanation:15 times 15 = 225
225-12 times 12= 81
81sqrt
Please help me with this question worth 30 point’s
Answer: B
Step-by-step explanation:
If a cow has a mass of 9×102 kilograms, and a blue whale has a mass of 1.8×105 kilograms, which of these statements is true?
Answer:
The mass of the Blue whale is 200 times the mass of the cow
Step-by-step explanation:
Given
Mass of Cow = 9 * 10² kg
Mass of Blue Whale = 1.8 * 10⁵ kg
Required
Determine the relationship between both weights
Represent the mass of the cow with C and the mass of the whale with B
[tex]C = 9 * 10^2kg[/tex]
[tex]C = 9 *100kg[/tex]
[tex]C = 900kg[/tex]
[tex]B = 1.8 * 10^5kg[/tex]
[tex]B = 1.8 * 100000kg[/tex]
[tex]B = 180000kg[/tex]
Divide the bigger weight by the smaller weight
[tex]\frac{B}{C} = \frac{180000kg}{900kg}[/tex]
[tex]\frac{B}{C} = \frac{180000}{900}[/tex]
[tex]\frac{B}{C} = {200}{}[/tex]
Multiply both sides by C
[tex]C * \frac{B}{C} = {200}{} * C[/tex]
[tex]B = {200}{} * C[/tex]
[tex]B = 200}C[/tex]
From the expression above, it can be concluded that the mass of the Blue whale is 200 times the mass of the cow
Which is equivalent to (4 x y minus 3 z) squared, and what type of special product is it?
[tex]
(4xy-3z)^2=16x^2y^2-24xyz+9z^2
[/tex]
Hope this helps.
In the diagram, OP = 2 and OP’ = 8. Find the scale factor of the dilation. a) 1/4 b) 1/2 c) 4 d) 6
Answer:
c
Step-by-step explanation:
Consider the ratio of image to original, that is
scale factor = [tex]\frac{OP'}{OP}[/tex] = [tex]\frac{8}{2}[/tex] = 4 → C
The scale factor of the dilation will be option C; 4.
What is the scale factor?The ratio between comparable measurements of an item and a representation of that thing is known as a scale factor in arithmetic.
Since the scaling is done by multiplication of some constant, that constant is called scale factor.
Dilation of a figure will leave its sides get scaled (multiplied) by same number.
Let suppose if a rectangle is dilated, and its sides were of length = L and width = W, then its dilated version would be having length = Ln, and width = Wn where n is the factor of scaling.
Let that constant be 's'.
Then we have:
[tex]s \times x = y\\s = \dfrac{y}{x}[/tex]
Consider the ratio of image to original, that is;
Scale factor = OP'/OP
OP'/OP = 8/2 = 4
Hence, the scale factor of the dilation will be option C; 4.
Learn more about scale factors here :
https://brainly.com/question/8765466
#SPJ2
Find the other endpoint of the line segment with the given endpoint and midpoint. Endpoint: (−8,8) Midpoint: (−7,0)
Answer:
(-6, -8)
Step-by-step explanation:
Midpoint Formula: [tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]
Simply set our variables to what we know and solve:
-7 = (-8 + x)/2
-14 = -8 + x
x = -6
0 = (8 + y)/2
0 = 8 + y
y = -8
Answer:
The other endpoint is (-6,-8).
Step-by-step explanation:
If you follow the slope that the two points made (Endpoint: (−8,8) Midpoint: (−7,0), the slope is -[tex]\frac{-8}{1}[/tex] ) you follow it down like this:I hope this helps
pls i need it aaaaaaaahg
Answer:
5.1
Step-by-step explanation:
Answer:
1.7√9.18
= 5.4
Hope it helps