Answer:
Exactly 26 cookies fit and there would be 0.75 of cookie space left over.
Step-by-step explanation:
In this case, we must calculate the area of a cookie and the total area of the cookie tray,
give us the diameter of the cookie, we need the radius, we know that the radius is half the diameter, so:
r = d / 2 = 1/2
the area would be:
A = pi * r ^ 2
replacing:
A = 3.14 * (1/2) ^ 2
A = 0.785
The area for each cookie is 0.785 in ^ 2
Now the area of the cookie tray would be:
A = 7 * 3
A = 21 in ^ 2
Therefore a total of:
21 / 0.785 = 26.75
Which means that exactly 26 cookies fit and there would be 0.75 of cookie space left over.
The ratio of the same side interior angles of two parallel lines is 1:14. Find the measures of all eight angles formed by the parallel lines and transversal. Sorry! Would appreciate if you give the answer by Tuesday! Thanks
Answer:
At the intersection of the first parallel line with the transversal, a = 12°, c = 168°, d = 12°, e = 168°. Counting counterclockwise from a.
At the first intersection of the second parallel line with the transversal, b = 168°, f = 12°, g = 168°, h = 12°. Counting clockwise from b.
Step-by-step explanation:
Let a be the first interior angle. Since they are in 1:14, the second same side interior angle is b = 14a.
We know that the sum of interior angles equals 180°.
So, a + b = 180°
a + 14a = 180°
15a = 180°
a = 180/15
a = 12°
At alternate angle to the other interior angle, b adjacent to a is c = b = 14a = 14 × 12 = 168°
The angle vertically opposite to a is d = a = 12°
The angle vertically opposite to a is b = e = 168°
At the intersection of the second parallel line and the transversal, the angle alternate to a is f = a = 12°
the angle vertically opposite to angle b is g = b = 168°
the angle vertically opposite to f is h = 12°
Given that the same-side interior angles formed by two parallel lines and a transversal have an angle ratio of 1:14, the eight angles formed are:
m<1 = 12°
m<2 = 168°
m<3 = 168°
m<4 = 12°
m<5 = 12°
m<6 = 168°
m<7 = 168°
m<8 = 12°
Applying the knowledge of ratio, transversal and parallel lines, we can determine the measures of all 8 angles that are formed when a transversal intersects two parallel lines as shown in the image attached below.
Let < 1 and < 6 be the two same-side interior angles whose measures are in the ratio, 1:14.
Thus:
m<1 : m<6 = 1 : 14Recall:
Same-side interior angles are always supplementary. That is,
m<1 + m<6 = 180 degrees.
Let's apply ratio to find the measure of <1 and <6.
m<1 = ratio of <1 / sum of ratio x 180[tex]m \angle 1 = \frac{1}{1 + 14} \times 180\\\\m \angle 1 = \frac{1}{15} \times 180\\\\m \angle 1 = 12^{\circ}[/tex]
m<6 = ratio of <6 / sum of ratio x 180[tex]m \angle 6 = \frac{14}{1 + 14} \times 180\\\\m \angle 6 = \frac{14}{15} \times 180\\\\m \angle 6 = 168^{\circ}[/tex]
Since we know the measure of <1 and <6, we can find the measure of others as follows:
m<2 = m<6 = 168° (corresponding angles are congruent)m<3 = m<6 = 168° (alternate interior angles are congruent)m<4 = m<1 = 12° (vertical angles are congruent)m<5 = m<1 = 12° (corresponding angles are congruent)m<7 = m<6 = 168° (vertical angles are congruent)m<8 = m<4 = 12° (corresponding angles are congruent)In conclusion, given that the same-side interior angles formed by two parallel lines and a transversal have an angle ratio of 1:14, the eight angles formed are:
m<1 = 12°
m<2 = 168°
m<3 = 168°
m<4 = 12°
m<5 = 12°
m<6 = 168°
m<7 = 168°
m<8 = 12°
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Can the polynomial in the numerator of the expression x^2-5x+7/x-9 be factored to derive (x − 9) as a factor
Answer:
Step-by-step explanation:
We can find out by using synthetic division and the fact that x - 9 Might be a 0. If x = 9 is a 0 of that polynomial, then we will get no remainder when we divide the polynomial by 9:
9 | 1 -5 7
____________
First thing to do is bring down the 1 and multiply it by the 9 and put that product up under the -5:
9 | 1 -5 7
______9____
1
Now add down the column to get:
9 | 1 -5 7
_____9____
1 4
Now multiply 4 by 9 and put that product up under the 7:
9 | 1 -5 7
______9__36
1 4
Now add to see what the remainder is:
9 | 1 -5 7
_______9_36
1 4 R43
we have a remainder of 43. Since it is not a 0, then the polynomial is not evenly divisible by x - 9.
So the answer is No.
What is the largest possible value x could take given that it must be an integer? x < 5
Answer:
4
Step-by-step explanation:
No greater number than 4 can be x because otherwise it'll be equal to or more than 5
The largest possible value x could take given that it must be an integer of x < 5 is; x = 4
We first have to understand the meaning of integers.
Integers are defined as whole numbers which could be positive or negative or even zero.
Now, we want to find the highest possible integers that are less than 5 from;
x < 5
Now, the first integer lower than 5 will be the highest possible one. That integer is 4.
Thus, x = 4.
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What is the coordinate of point P that lies along the directed line segment from Q(2, 5) to R(7, 12) and partitions the segment in the ratio of 3 to 2? Your answer: (3, 4.2) (4.5, 8.5) (5, 9.2) (5, 7)
Answer:
Option (3). (5, 9.2)
Step-by-step explanation:
If Point P divides the line segment QR in the ratio of m : n.
Let the coordinates of the point P are (x, y)
Since coordinates of the point P are given by,
x = [tex]\frac{m(x_2)+n(x_1)}{m+n}[/tex]
y = [tex]\frac{m(y_2)+n(y_1)}{m+n}[/tex]
Where [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex] are the ordered pairs representing points Q and R.
If [tex](x_1,y_1)[/tex] represents (2, 5) and [tex](x_2,y_2)[/tex] represents (7, 12),
Coordinates of point P(x, y) which divides the segment in the ratio of 3:2.
x = [tex]\frac{3(7)+2(2)}{3+2}[/tex]
x = [tex]\frac{25}{5}=5[/tex]
y = [tex]\frac{3(12)+2(5)}{3+2}[/tex]
y = [tex]\frac{46}{5}=9.2[/tex]
Therefore, Point P will be represented by (5, 9.2)
Option (3) will be the answer.
I will mark you brainliest!!!! Which statement about the represented equation is true?
Answer:
A
Step-by-step explanation:
Answer:
D. The slope is 7, and (2, -4) is on the line.
Step-by-step explanation:
y+4=7(x-2)
y+4=7x-14
Subtract 4 from both sides
y=7x-18
The slope is 7. (y=mx+b, m is the slope, b is the y-intercept)
(0, -18), (1, -11), (2, -4), (3, 3), (4, 10) are points on the line.
The answer that is true out of all of them is D. The slope is 7, and (2, -4) is on the line.
answer this plz to be rater 5 stars
Answer:
Step-by-step explanation:
3 min 20 seconds = 3*60 + 20 = 180 +20 = 200 seconds
2 min 44 seconds = 2*60 + 44 = 120 + 44 = 164 seconds
Improvement = 200 - 164 = 36 seconds
Percentage =(36/200) *100
= 18 %
Find the sum of the first 9 terms of the following series, to the nearest integer 3, 3.75, 4.6875
Answer:
77.4
Step-by-step explanation:
The first term, a, of the series is 3.
It is a geometric progression, so we can calculate the common ratio, r:
3.75 / 3 = 1.25
The sum of n terms of a geometric progression is given as:
[tex]S = \frac{a(1 - r^n)}{(1 - r)}[/tex]
where n = number of terms considered
The sum of the first 9 terms will therefore be:
[tex]S_9 = \frac{3(1 - 1.25^9)}{(1 - 1.25)} \\\\S_9 = \frac{3(1 - 7.45)}{-0.25}\\ \\S_9 = \frac{3 * -6.45}{-0.25}\\ S_9 = \frac{-19.35}{-0.25}\\ \\S_9 = 77.4[/tex]
A baseball team won 9 games, which was 60% of the total number of games the team played. How many total games did the team play?
Answer: The team played 15 games total
Step-by-step explanation: 9 is 60 percent of 15.
Need help with this question plz
What is the value of x in the equation - 3X+9
x+9= 3-37?
Given the following functions, find each: f(x)=x2+5x−14 g(x)=x−2 (f+g)(x)= (f−g)(x)=
Answer:
(f+g)(x) = x²+5x-14 + (x-2)
= x²+5x-14+x-2 = x²+6x-16
(f-g)(x) = x²+5x-14 - (x-2)
= x²+5x-14 - x+2
= x²+5x-14-x+2 = x²+4x-12
What is the area of a rectangle that is 5 meters long and 8 meters wide? 40 m 2 26 m 2 35 m 2 13 m 2
Answer:
The area of the 5m by 8m is 40 I don't know what you want with the other numbers but this is for the sentence
Step-by-step explanation:
Answer:
40
Step-by-step explanation:
Did da test
How many combinations of 3 balloons can be chosen from 4 balloons?
Answer: 24
Step-by-step explanation:
You have 4 balloons to choose from.
Once you have chosen a balloon, there are 3 remaining to choose from. When you choose another balloon, there are only 2 remaining.
First pick and Second pick and Third pick
4 x 3 remaining x 2 remaining = 24
I need help please it’sGeometry
Answer:
Congruent triangles have the same perimeter so the answer is 13.
The exponential function g, whose graph is given below, can be written as g(x)=a•b^x
Answer:
g(x) = [tex]8(\frac{1}{2})^x[/tex]
Step-by-step explanation:
Let the equation of the graphed exponential function is,
g(x) = [tex]a(b)^x[/tex]
Two points (0, 8) and (1, 2) lie on this graph.
For (0, 8),
g(0) = [tex]a(b)^0[/tex]
8 = a(1)
a = 8
For other point (1, 2),
g(1) = [tex]a(b)^1[/tex]
2 = ab
2 = 8b
b = [tex]\frac{2}{8}[/tex]
b = [tex]\frac{1}{4}[/tex]
Therefore, given exponential function wiil be,
g(x) = [tex]8(\frac{1}{2})^x[/tex]
Answer:
8⋅(1/4)^x
Step-by-step explanation:
trust me thats the answer
i think of a number, multiply it by 2, subtract 3, and multiply the result by 4
Answer:
4(2x-3)
Step-by-step explanation:
Let the number be x
⇒ Multiplying by 2 makes it 2x
⇒ Subtracting 3 makes it 2x-3
⇒ Multiplying the whole by 4 gives 4(2x-3)
Jack's brother is 14 years older than him. In six years time, Jack's brother will be twice as old as him. How old is Jack now?
On Monday, 230 students were supposed to go on a trip to the zoo but 22 did not have permission slips. 5 buses were filled and 8 students had to travel in cars. How many students were in each bus
Answer:
40 kids traveled in each bus
hope this helped
Step-by-step explanation:
230- 22= 208
208-8= 200
200÷5 =40
Answer:
40 students road on each bus
Step-by-step explanation:
230-22=208
208-8=200
200÷5=40
RuRodolfo has 15 toys in the toy box and he had to new toys everyone based on this information which representation that shows the relationship between the number of toys
QUESTION; Rudolfo has 15 toys in his toy box, and he adds 2 new toys every month. Based on this information, which representation best shows this relationship between the number of toys Rodolfo has in his toy box, y, and the number of months that have passes, x?
Answer:
Hello dear, your question is not complete (because you did not input the representations) but not to worry the representation can be found in the attached picture.
Thus , option C(third representation) is the correct answer.
Step-by-step explanation:
NB: kindly check attached file/picture for the pictures showing the representation in the question above.
From the question above we are given the following parameters or information or data;
=> RuRodolfo has 15 toys in the toy box and he had two new toys every month.
=> "The representation that best shows te relationship between the number of toys Rodolfo has in his toy box, y, and the number of months that have passes, x" will be option C because;
2 × 15 = 30. Therefore, RuRodolfo has 30 toys are the end of the month.
Answer:
B
Step-by-step explanation:
Jon is playing a game with his friend Mike. Mike rolls two dice three times. Each time Mike rolls the dice, Jon squares both numbers and subtracts the smaller square from the larger square. After all three rolls, Jon adds the three numbers he obtained from the three rolls. If Mike rolls a 4 and a 3 on the first roll, a 6 and a 2 on the second roll, and a 3 and a 1 on the third roll, what is the sum that Jon obtains?
Answer:47
Step-by-step explanation:
On first roll Mike gets 4 and 3
So number he gets after subtraction of square is
[tex]\Rightarrow 4^2-3^2=7[/tex]
On second roll Mike gets 6 and 2
So number he gets after subtraction of square is
[tex]\Rightarrow 6^2-2^2=32[/tex]
On Third roll Mike gets 3 and 1
So number he gets after subtraction of square is
[tex]\Rightarrow 3^2-1^2=8[/tex]
Sum of numbers[tex]=7+32+8=47[/tex]
John obtains [tex]47[/tex] as sum
Jim, Dan and David share some sweets in the ratio 3:1:5. Jim gets 21 sweets. How many more sweets does David get over Dan?
Answer:
David gets 28 more than Dan
Step-by-step explanation:
Jim: Dan : David: total
3 : 1 : 5 : 3+1+5 = 9
Jim gets 21
21/3 = 7
Multiply each number by 7
Jim: Dan : David: total
3*7 : 1*7 : 5 *7 : 9*7
21 : 7 : 35 : 63
David has 35 and Dan has 7
35-7 = 28
David gets 28 more than Dan
There are 130 people in a sport centre.
76 people use the gym.
60 people use the swimming pool.
32 people use the track.
23 people use the gym and the pool.
8 people use the pool and the track.
20 people use the gym and the track.
6 people use all three facilities.
A person is selected at random.
What is the probability that this person doesn't use any facility?
Answer:
7/130Step-by-step explanation:
Using set notation to answer the question. let:
n(U) be the total people in a sport centre =130
n(G) be number of people that use the gym. = 76
n(P) be number of people that use the swimming pool. = 60
n(T) be number of people that use the track = 32
n(G∩P) be number of people that uses the gym and the pool = 23
n(P∩T) be number of people that uses the pool and the track = 8
n(G∩T) be number of people that uses the gym and the track = 320
n(G∩P∩T) be number of people that uses all three facilities = 6
Using the relationship below;
n(U)= n(GUPUT)+n(GUPUT)'
where n(GUPUT)' is the number of people that doesn't use any facility.
Before we can get that, we need to know n(GUPUT) using the formula;
n(GUPUT) = n(G) + n(P)+n(T)-n(G∩P)-n(P∩T)-n(G∩T)+n(G∩P∩T)
n(GUPUT) = 76+60+32-23-8-20+6
n(GUPUT) = 123
n(GUPUT)' = n(U)- n(GUPUT)
n(GUPUT)' = 130 - 123
n(GUPUT)' = 7
This means that 7 person doesn't use any facility.
Probability that a person selected at random doesn't use any facility = n(GUPUT)' /n(U) = 7/130
What is Three-fourths divided by one-sixth?
Answer:
9/2 or 4.5
Step-by-step explanation:
3/4 divided by 1/6 changes into multiplication and you switch one of the denominators
it becomes 3/4 times 6/1 which is 18/4 when simplified, it's 9/2
Answer:
9/2
Step-by-step explanation:
A) Complete the table of values for y= x^2 - 4x
Answer:
y = x² - 4x
x = -1 y = 5
x = 0 y = 0
x = 1 y = -3
x = 2 y = - 4
x = 3 y = - 3
x = 4 y = 0
x = 5 y = 5
Hope this helps.
The equivalent values to complete the table are 5, -1, -4 and 0
Given the function according to the table shown:
[tex]y= x^2 - 4x[/tex]
When x = -1
[tex]y= (-1)^2 - 4(-1)\\y=1+4\\y=5[/tex]
When x = 1
[tex]y= (1)^2 - 4(1)\\y=1-4\\y=-3[/tex]
When x = 2
[tex]y= (2)^2 - 4(2)\\y=4-8\\y=-4[/tex]
when x = 4
[tex]y= (4)^2 - 4(4)\\y=16-16\\y=0[/tex]
Hence the equivalent values to complete the table are 5, -1, -4 and 0
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Which word describes a triangle with three angles, if each angle measures less than 90°? Please help
Answer:
acute triangle
Step-by-step explanation:
If an angle measures less than 90 degrees it is an acute angle
A triangle with all acute angles is an acute triangle
£880 is divided between Jim, Krutika & Natasha so that Jim gets twice as much as Krutika, and Krutika gets three times as much as Natasha. How much does Krutika get?
Answer:
264 pounds
Step-by-step explanation:
Write the question in the form of a ratio:
Natasha: Krutika: Jim
1:3:6
Now, we divide the amount of 880 in the ratio.
there are 10 parts in total.
1 part = 880 divided by 10 = 88.
since Krutika gets 3 parts, she gets 88 x 3 = 264
Find the surface area.
Which arcs are congruent? Check all that apply. Arc B C ≅ Arc M P Arc B C ≅ Arc M O Arc C F ≅ Arc K P Arc E G ≅ Arc K L Arc L O ≅ Arc M P
Answer:
Step-by-step explanation:
The arcs that are congruent are:
Arc B C ≅ Arc M P. Arc E G ≅ Arc K L. Arc L O ≅ Arc M P.What congruent angles in math?
Two geometric figures can be described as congruent if on can be superpose on the other.
Conclusively, congruent' is said to be a word that connote 'exactly equal' when looking at the shape and size of the angles. The options chosen above are congruent because they have the sides to be equal.
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A total of 70 tickets were sold for a concert and earn the organizers $804. If the cost of each ticket is either $10 or $12, how many tickets of each type were sold?
A. $18 tickets cost $10 AND 52 tickets cost $12
B. 52 tickets cost $10 and 18 tickets cost $12
C. 65 tickets cost $12 and 5 tickets cost $10
D. 5 tickets cost $12 and 65 tickets cost $10
WILL GIVE BRAINLIEST WHEN I CAN!!!!!!
Answer:
52 tickets cost $10 and 18 tickets cost $12
Step-by-step explanation:
10x+12y=804. (1)
x+y=70. (2)
From (2)
x=70-y
Substitute x=70-y into (1)
10x+12y=804
10(70-y)+12y=804
700-10y+12y=804
700+2y=804
2y=804-700
2y=104
y=104/2
y=52
Recall
x+y=70
x+52=70
x=70-52
x=18
52 tickets cost $10 and 18 tickets cost $12
By solving a system of equations we will see that the correct option is A.
How to write and solve a system of equations?
First, let's define the variables:
x = number of $10 tickets sold.y = number of $12 tickets sold.First, we know that 70 tickets were sold, so:
x + y = 70
And we know that they reached $804, then we have:
x*$10 + y*$12 = $804
Then our system is:
x + y = 70
x*$10 + y*$12 = $804
To solve this, we first need to isolate one of the variables in one of the equations, I will isolate x on the first equation:
x = 70 - y
Now we can replace that in the other equation to get:
(70 - y)*$10 + y*$12 = $804
$700 - y*$10 + y*$12 = $804
$700 + y*$2 = $804
y*$2 = $804 - $700 = $104
y = $104/$2 = 52
So, 52 $12 tickets were sold, then the other 18 tickets were $12, so the correct option is A.
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What is the greatest decimal place value?
Answer:
the digit farthest to the left
Answer:
The digit farthest to the left.
Step-by-step explanation:
I hope this helps