The perimeter of the elliptical table is given by the path traced with the
string attached to the foci of the ellipse.
The distance between the two thumbtacks is 2·√(5)Reasons:
The shape of the table top = An ellipse
The dimensions of the plywood = 4 foot by 6 foot
Required:
The distance between the thumbtacks of the largest possible ellipse
Solution:
The major axis of the largest possible axis = 6 foot
The minor axis of the ellipse = 4 foot
[tex]The \ semi \ major \ axis, \ a = \dfrac{6}{2} = 3[/tex]
[tex]The \ semi \ minor \ axis, \ b = \dfrac{4}{2} = 2[/tex]
Which gives;
The focus, c² = a² - b²
Therefore;
c² = 3² - 2² = 5
c = √(5)
The distance between the two thumbtacks = c - (-c) = c + c = 2·c
Therefore;
The distance between the two thumbtacks = 2·√(5)
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Can someone help’ it’s due today pls help pls pls
Answer:
MQP = 138
Step-by-step explanation:
Since the angle bisector always divides the angle in half exactly, we know both of the angle measures we have are the same, and set it up like this: 5x + 19 = 2x + 49 (subtract 2x from both sides) 3x + 19 = 49 (subtract 19 on both sides) 3x = 30 (divide by 3) x = 10
Substitute that x value (10) into the original equations in place of x for each angle to get MQN = 69 and NQP = 69
Add the two values to get 138. MQP = 138
Answer:
138
Step-by-step explanation:
QN bisects ∠MQP. ⇒ ∠MQN = ∠NQP
5x + 19 = 2x + 49
Subtract 19 from both sides
5x = 2x + 49 - 19
5x = 2x + 30
Subtract 2x from both sides
5x -2x = 30
3x = 30
x = 30/3
x = 10
∠MQN = 5x + 19
= 5*10 + 19
= 50 +19
= 69
∠MQP = ∠MQN +∠NQP = 69 + 69 = 138
Quiz 2
You might need: Calculator
Naoya read a book cover to cover in a single session, at a rate of 55 pages per hour. After 4 hours, he had
350 pages left to read.
Let y represent the number of pages left to read after a hours.
Complete the equation for the relationship between the number of pages left and number of hours.
y =
Total pages read after 4h
[tex]\\ \sf\longmapsto 4(55)=220pages[/tex]
Pages left=350
Now
[tex]\\ \sf\longmapsto y=350+220[/tex]
[tex]\\ \sf\longmapsto y=570[/tex]
what is the answer to this question: 3.75x =60
Answer:
x = 16
Step-by-step explanation:
If 3.75x would equal to 60, then x would equal to 60/3.75, which would be 16
Hope this helps!
( WILL GIVE BRAINLY IF IM ABLE TO) Select the correct answer.
A recipe for a loaf of bread calls for of a cup of flour. If Milo used 12 cups of flour, how many loaves of bread did he prepare?
A.
18
B.
16
C.
15
D.
12
E.
8
Answer:
Answer d
Step-by-step explanation:
Answer:
12 Loaves of bread :D
Step-by-step explanation:
hope that helped , have a great day !!
While preparing for a morning conference, principal Corsetti is laying out 8 dozen bagels on square plates. Each plate can hold 14 bagels.
A.How many plates of bagels will Mr. Corsetti have.
B. How many more bagels would be needed to fill the final plate with bagels?
Answer:
Step-by-step explanation:
We have 8 dozen bagels, or 8*12=96 bagels. Each plate can hold 14 bagels, so we have enough bagels to fill 96/14=about 6.86 plates. However, we cannot have a fraction of a plate, so we round up to have a total of seven plates. To fill all seven plates fully, 7*14=98 bagels would be needed, which is two more than we have.
To summarize, Mr. Corsetti has seven plates of bagels, and would need two more bagels to fill the last one up.
Which expression is undefined?
Answer:
D
Reasoning:
Anything that is divided by zero is undefined.
Write an equation of a line in slope-intercept form with the given slope and y-intercept:
slope: 3/4 ; y-intercept: -8
Answer:
y=3/4x-8
Step-by-step explanation:
Can someone help plz
picture included.. math
Answer:
quotient
example:
in a statement like 35 / 7 = 5 ,
35 is the dividend, 7 is the divisor, and 5 is the quotient
what is the awnser and solve for C
2c=6–3c
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
[tex]\fbox \colorbox{black}{ \colorbox{white}{C} \: \: \: \: \: \: \: \: \colorbox{white}{ = } \: \: \: \: \: + \colorbox{white}{6/5}}[/tex]
[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
Let's find the value of c ~
[tex]2c = 6 - 3c[/tex][tex]2c + 3c = 6[/tex][tex]5c = 6[/tex][tex]c = \dfrac{6}{5} \: \: or \: \: 1.2[/tex]Answer:
c= -6
Step-by-step explanation:
2c -6 = 3c
we move all to the left
2c -6 (3c)= 0
add everything and the variables
-1c - 6 = 0
move all terms containing c to the left everything else to the right
-1c = 6
c=6/-1
c=-6
Help me this question is so hard i fried up my brain yesterday working on it for so long!!!!
Hello there! (:
The answer is 9.
3^4=3*3*3*3 (81)
3^2=9
81:9=9
So the answer is 9.
Hope it helps! If you have any question or query, feel free to ask! (:
~An excited gal
[tex]SparklingFlower[/tex]
the sum of three whole numbers in a row is 57. what are the three numbers?
Answer:
18, 19, 20
Step-by-step explanation:
(n) + (n + 1) + (n + 2) = 57
3n + 3 = 57
3n = 57 - 3 = 54
n = 54/3 = 18
three numbers are 18, 18+1, 18+2
18, 19, 20
Answer:
18,19,20
Step-by-step explanation:
x + (x+1) + (x+2) = 57
x + x + 1 + x + 2 = 57
Combine like terms
3x + 3 = 57
subtract 3 from both sides
3x = 54
divide both sides by 3
x = 18
The answer is 18, 19, 20
Since we know the value of x, we can look at it like this:
x + (x+1) + (x+2) --- > 18 + (18+ 1) + (18+2) --> 18 + 19 + 20
Determine if the ordered pairs (1. - 2) and (-4,2) are solutions of the following linear inequality in two variables.
-X<-y
.
Is the ordered pair (1. - 2) a solution of the linear inequality?
Is the ordered pair (-4,2) a solution of the linear inequality?
Answer:
First is, second is not.
Step-by-step explanation:
Start plugging them!
[tex]-(1) < -(-2) \rightarrow -1 < 2 \\ \\- (-4) < -(2) \rightarrow 4 < -2[/tex]
First one is true, so the pair is a solution.
Second is false, (4 is obviously bigger!) so it's not a solution.
If you end up having to check multiple values, your best bet is to draw the solutions on a convenient plane and see where the points lay
A framer's market sells apples for $0.75 per pound and oranges for $0.89 per pound
Answer:
160
Step-by-step explanation:
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Triangle R S T is shown. Angle R S T is a right angle. The length of R S is 10, the length of R T is 26, and the length of S T is 24. Use the diagram and side lengths of triangle RST to determine the angles used for the trigonometric ratios. sin( ) = Twelve-thirteenths tan( ) = Five-twelfths
Answer:
sin(R) = 12/13tan(T) = 5/12Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to remind you of the relationship between sides of a right triangle and trig functions of the acute angles. It tells you ...
Sin = Opposite/Hypotenuse
sin(R) = 24/26 = 12/13
and ...
Tan = Opposite/Adjacent
tan(T) = 10/24 = 5/12
Answer: SIN = R and TAN = T
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the
time after launch, x in seconds, by the given equation. Using this equation, find the
time that the rocket will hit the ground, to the nearest 100th of second.
y = –16x2 + 119x + 57
Answer:
7.89 seconds
Step-by-step explanation:
using the quadratic formula (-b+-√(b^2-4ac))/2a
a=-16 b=119 c=57
x=-0.451
and
x=7.889
time cant be negative so use the positive x
Time required for the rocket to hit the ground would be 7.9 s.
What is a quadratic equation?A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
We are given the quadratic equation as;
-16x² + 119x + 57 = 0
By using the quadratic formula,
x = [-b ± √b² - 4ac]/2a
Here, a = -16, b = 119 and c = 57
b² - 4ac = (119 )² - 4(-16)(57)
= 14161 + 3648
= 17809
So, x = [-(119) ± √17809]/ 16(2)
= (-119 ± 133.4)/32
Therefore, the time is 7.9 s.
Learn more about quadratic equations;
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Yall I need help plsssssss help meeeeeee
Answer:
8. Scalene
9. Isosceles
10. Scalene
plz plzz plz mark as brainliest
There
B
Angi
Does
You
950
Diagram NOT
accurately drawn
D
F
550
G
с
* AGC and DEF are parallel lines.
ADB and GE are parallel lines.
BEC is a straight line.
Angle DBE = 95°
Angle CGE = 55°
Work out the size of the angle marked x.
Give reasons for each stage of your working.
Answer:
30
Step-by-step explanation:
Attached picture...
Answer:
Step-by-step explanation:
In the image below.
I hope I've helped you.
what ratios are equivalent to 4:1
Answer:
12:3
Step-by-step explanation:
Find the perimeter of a rectangle whose length is 12 longer than its width
with an area of 45 square feet. To earn 5 points write the mathematical
sentence, the value of Length, width and perimeter
Answer:
l = 21
w = 9
P = 60
Step-by-step explanation:
l = 12 + w
A = l*w = 45
substitute l = 12 +w
45 = (12 + w) * w
45 = 12w + w^2
w^2 + 12w - 45 = 0
w^2 + 2*6*w +36 = 45 + 36 (added 36 on both sides 6^2)
(w + 6) ^2 = 45+36 = 81
w + 6 = +-9
As width cannot be negative w = 9
so l = 12 + 9
= 21
Perimeter = P = 2 (l + b)
= 2 ( 21 + 9)
= 2 (30)
= 60
pasagot po please
answer it please
Answer:
24 I hope help you yieeeeeee
Answer:
ummmmmmmmmmm itsssssssss
Step-by-step explanation:
the common multiple of 4 and 20 is? a.3 b.4 c.8 d.20
Answer:
i belive its A
Step-by-step explanation: hope this helps :)
Answer:
B. 4
Step-by-step explanation:
4 times 5 is 20 and 20 divided by 5 is 4
line w passes through point (-6,-7) and has a slope 1/2. what is the equation for the line in point-slope form?
Answer:
y + 7 = [tex]\frac{1}{2}[/tex] (x + 6)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
Here m = [tex]\frac{1}{2}[/tex] and (a, b ) = (- 6, - 7 ) , then
y - (- 7) = [tex]\frac{1}{2}[/tex] (x - (- 6) ) , that is
y + 7 = [tex]\frac{1}{2}[/tex] (x + 6)
Kendra rides her bike to school each day. It takes her 10 minutes to ride 30 blocks. What unit rate would express the speed of Kendra's bike ride? (4 points)
Group of answer choices
2 blocks per minute
10 blocks per minute
3 blocks per minute
4 blocks per minute
Answer:
3 blocks a minute
Step-by-step explanation:
so if she rides her bike 30 blocks in 10 minutes in means she rides at a pace of 3 blocks a minute
A pizza buffet has prepared 15 pizzas to place on the line at the beginning of lunch at 11:00 a.m. The equation used to describe the total number of pizzas that have been placed out on the buffet line is shown below.
y = 11x + 15
If x represents every 8 minutes after 11:00 a.m, which statement best describes the rate of change in the number of pizzas set out on the buffet?
A.
Every 16 minutes, 11 more pizzas were set out on the buffet.
B.
Every 16 minutes, 22 more pizzas were set out on the buffet.
C.
Every 16 minutes, 32 more pizzas were set out on the buffet.
D.
Every 8 minutes, 21 more pizzas were set out on the buffet.
HELP!!!
Answer:
B. Every 16 minutes, 22 more pizzas were set out on the buffet.
Step-by-step explanation:
At 11:00 am, x would be equal to 0, and there would be 15 pizzas on the buffet line. Then, every 8 minutes, 11 more pizzas are added to the buffet line. So in 16 minutes, 22 pizzas will be added to the buffet.
[tex]\frac{16}{8} =2\\(11)(2) = 22[/tex]
Evaluate the expression.
2−[(2+10(−1)÷2)+1]
What is the value of the expression?
4
Step-by-step explanation:Review
To evaluate the expression, lets use BODMAS. Before we get to the solving part, lets revise BODMAS.
=> B in BODMAS is brackets. This means that whatever operations are inside a bracket, we must solve that first.
=> O in BODMAS is Orders. The O is used very rarely, there is a possibility that there is no powers, exponents.
=> D in BODMAS is Division. This means that whatever division is occurring in the expression must be done first (Unless if there is a bracket).
=> M in BODMAS is Multiplication. This means that whatever multiplication is occurring in the expression must be done next.
=> A in BODMAS is Addition. This means that whatever addition is occurring in the expression must be done then.
=> S in BODMAS is Subtraction. This means that whatever subtraction is occurring in the expression must be done last.
Solution:Now, lets get to the point. We need to find the expression '2−[(2+10(−1)÷2)+1]'. Using the help of BODMAS, we can solve it.
Step 1: Simplify the innermost bracket.
2 − [( 2 + 10(−1)÷2)+1]
=> 2-[(2-10÷2)+1]
Note: Since in the innermost bracket there is no operation, we can open the innermost bracket and get along with the second inner bracket.
Step 2: Simplify the second inner bracket.
=> 2 - [(2 - 10 ÷ 2) + 1]
=> 2 - [(2 - 5) + 1]
=> 2 - [(-3) + 1]
=> 2 - [-3 + 1]
Step 3: Simplify the third inner bracket.
=> 2 - [-3 + 1]
=> 2 + 2
Step 4: Solve.
=> 2 + 2
=> 4
Final Answer.
Therefore, 4 is our answer after working on this problem.
Answer:
4
Step-by-step explanation:the answer is 4 because you have to 20 2-2+10 and that is ten. then minus one is 9 then 9/2=3 and then 3+1 equals 4
BRAINLIEST, 5 STARS, AND A THANKS FOR WHOEVER HELPS!
Which statement about the answer to this problem is most accurate?
5\6−3\8=19\24
The answer 19\24 is reasonable because both fractions are closer to 1\2 than they are to 1, making the difference close to 0.
The answer 19\24 is reasonable because 5\6 and 3\8 are both closer to 1 than to 1\2, making the difference close to 0.
The answer 19\24 is not reasonable because 5\6 is closer to 1 than to 1\2, and 3\8 is close to 1\2, making the difference close to 1\2.
The answer 19\24 is not reasonable because 5\6 is closer to 1\2 than to 1, and 3\8 is closer to 0 than to 1\2, making the difference close to 1\2.
Answer:
The answer 19\24 is not reasonable because 5\6 is closer to 1 than to 1\2, and 3\8 is close to 1\2, making the difference close to 1\2.
Step-by-step explanation:
Answer:
1/2 1 0
Step-by-step explanation:
Jonnell has finished 20% of an art project that has taken him a total of 3 hours so far. If he continues to work at the same rate, how many hours will it take for him to complete the entire project?
Answer:
15 hours
Step-by-step explanation:
20%=3 hours
times 5 both sides
100%=15 hours
which rotation about its center will carry a regular hexagon onto itself
The greatest possible number whose digits are all even numbers from 1 to 9
Answer:
8642Step-by-step explanation:
Our even numbers from 1-9 are:
2,4,6,8The largest possible number using the even numbers once is 8642.
Hoped this helped