Answer:
C
Step-by-step explanation:
x^2/12.25 + y^2/4 = 1
A carpenter designs a tabletop in the shape of an ellipse 7 feet long and 4 feet wide then, the equation of that ellipse would be [tex]\dfrac{ x^2}{12.25} + \dfrac{ y^2}{4} = 1[/tex]
What is the equation of ellipse if its major and minor axis and center are given?Suppose that the major axis is of the length 2a units, and that minor axis is of 2b units, and let the ellipse is centered on (h,k) with a major ellipse parallel to x-axis, then the equation of that ellipse would be:
[tex]\dfrac{(x-h)^2}{a^2} + \dfrac{(y-k)^2}{b^2} =1[/tex]
Coordinates of its foci would be: [tex](h \pm c, k)[/tex] where [tex]c^2 = a^2 - b^2[/tex]
If its major axis is parallel to y-axis, then,
Coordinates of its foci would be: [tex](h , k\pm c)[/tex] where [tex]c^2 = a^2 - b^2[/tex]and its equation would be:
[tex]\dfrac{(x-h)^2}{b^2} + \dfrac{(y-k)^2}{a^2} =1[/tex]
A carpenter designs a tabletop in the shape of an ellipse 7 feet long and 4 feet wide.
The carpenter sketches a drawing of the tabletop on a coordinate plane.
The center of the tabletop is at the origin, the length falls along the x-axis, and the width falls along the y-axis.
then, the equation of that ellipse would be:
[tex]\dfrac{ x^2}{12.25} + \dfrac{ y^2}{4} = 1[/tex]
Learn more about ellipse here:
https://brainly.com/question/19881832
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One angle of a right triangle measures 34°. What is the measure of the other acute angle?
Answer:
Step-by-step explanation: one has to be 90 degrees, so 34 plus 90. The angles of a triangle always add up to 180 so, subtract the answer of 34 plus 90 from 80 and you should get the answer.
4. The Barber's have a circular flowerbed in their front yard. The want to put fertilizer
on half of the flowerbed. The flowerbed has a circumference of 8.5 feet. One bag of
fertilizer will cover 6 square feet. How many bags of fertilizer will they need to cover
half of the flowerbed?
Answer:
Wait what
Step-by-step explanation:
Answer:
2 bagsStep-by-step explanation:
Circumference is:
C = πrThen the radius:
r = C/π = 8.5/3.14 = 2.7 ftThe area:
A = πr² = 3.14*2.7²= 22.89 ft²Half of the area:
22.89/2 = 11.445 ft² ≈ 12 ft² rounded upFertilizer needed:
12/6 = 2 bagshelp me please, i don’t get it loll
Answer:
subtract to find A
Step-by-step explanation:
What is the slope of y = -4?
Answer:
0
Step-by-step explanation:
The line is horizontal.
Explanation:
Think of y = -4 as y = 0x+(-4)
We see that the equation matches the form y = mx+b
m = 0 = slope
b = -4 = y intercept
Side note: this equation graphs out a horizontal line. All horizontal lines have a slope of 0.
(Easy) What is the next term in the sequence: 2, -2/3, 2/9, -2/27
Answer:
[tex]\frac{2}{81}[/tex]
Step-by-step explanation:
There is a common ratio between consecutive terms in the sequence
r = [tex]\frac{-\frac{2}{3} }{2}[/tex] = [tex]\frac{\frac{2}{9} }{-\frac{2}{3} }[/tex] = [tex]\frac{-\frac{2}{27} }{\frac{2}{9} }[/tex] = - [tex]\frac{1}{3}[/tex]
To find a term in the sequence multiply the previous term by - [tex]\frac{1}{3}[/tex] , then
a₅ = - [tex]\frac{1}{3}[/tex] × a₄ = - [tex]\frac{1}{3}[/tex] × - [tex]\frac{2}{27}[/tex] = [tex]\frac{2}{81}[/tex]
Evaluate the following expression. Round to the nearest hundredth when necessary.
27
Answer:
27?
Step-by-step explanation:
27 is a whole number you know
I NEED HELPPPPP ASAPPPPPPP
true
Step-by-step explanation:
it's at an equal distance
2x = 2y - 6 and y = x - 2
Answer:
2x=2y-6 equals x-y=-3 and y=x-2 equals x=2
Step-by-step explanation:
i hope this helps
Which pairs of equations are parallel?
a) y = 3x + 4 and y = 3x+1
b) y =- 3x + 4 and y = 3x + 1
c) y=x-1 and y = x+1
d) y = 2x + 3 and y = 2x + 1
Answer:
x by 1 times 15 to the third power
Step-by-step explanation:
Lance put $40,000 into a bank account that pays 3% interest every 4 months. How much money will Lance have after 5 years?
Answer:
$600,000
Step-by-step explanation:
interest = 3/100 × 40,000 = $1200
4 months = 1/3 years
[tex]p = \frac{100 \times i}{rt} = \frac{100 \times 1200}{3 \times \frac{1}{3} } = 120000[/tex]
$120,000 in 1 year
5years, 120,000×5 = $600,000
Answer:
here u go
Step-by-step explanation:
$600,000
Step-by-step explanation:
interest = 3/100 × 40,000 = $1200
The formula for the area of a trapezoid is A = 12(a + b)h. Rearrange the formula to solve for b.
Question 4 options:
b=2Aha
b=A−12h + a
b=2Ah− a
b=12Ah − a
Answer:
b = 2A/h - aStep-by-step explanation:
Formula for the area of a trapezoid:
A = 1/2(a + b)hSolving for b:
A = 1/2(a + b)h2A = (a + b)h2A/h = a + b b = 2A/h - aThe diameter of a circl
10. d = 6.7 in.
pls answer i need the answer
Answer:
(-2,5)
Step-by-step explanation:
4x+4y=12
6x-4y=-32
10x=-20
x=-2
4(-2)+4y=12
-8+4y=12
4y=20
y=5
Find the length of x.
Answer:
5
Step-by-step explanation:
6/4 = 7.5/x
7.5/1.5=5
BRAINLIEST ....................................
9514 1404 393
Answer:
(b) 7720 mm² of paper
Step-by-step explanation:
The central horizontal rectangle of the net is 80 mm high and ...
40 + 5.5 + 40 + 5.5 = 91
mm long. Its area 9 is ...
(80 mm)(91 mm) = 7280 mm²
__
The two pieces of the net not accounted for above are the "flaps" above and below the central rectangle. Each of those two has an area of 40 mm by 5.5 mm, so their total area is ...
2(40 mm)(5.5 mm) = 440 mm²
Then the area of paper needed for the wrapper is ...
total area = 7280 mm² + 440 mm²
total area = 7720 mm²
Find the product.
10(-7)
Answer:
-70
Step-by-step explanation:
If a number is right by a parathesis () then you multiply the number inside the parathesis by the number next to them.
6 of 12
© Dale is following this recipe to make shortbread fingers.
Dale uses 150 g of butter.
How many shortbread fingers does he make?
Recipe: Makes 20 fingers
125 g butter
55 g sugar
180 g flour
There are 39 students in a class.
16 of the students are female. Find the percentage of the class that are female.
Give your answer to the nearest percent.
_________________________ 6Harry is planning a holiday for 4 people for 7 days. Here are the costs for the holiday for each person. Travel£150 Hotel£50 for each day Spending money£250 Work out the total cost of the holiday for 4 people for 7 days.
Answer: $3,000
Step-by-step explanation:
The cost for a single person is:
Travel £150
Hotel £50 for each day
Spending money £250
Hotel is the only one that changes per the number of days so the total cost for a single person for 7 days is:
= 150 + (50 * 7) + 250
= 150 + 350 + 250
= $750
There are 4 people so the total cost will be:
= 750 * 4 people
= $3,000
Kim spent $44 on eating utensils. Spoons cost $4 and forks cost $6. If she bought a total of 9 utensils then how many of each kind did she buy?
Answer:
3 spoons and 6 forks
Step-by-step explanation:
9 = x + y; x= 9-y
44 = 4x + 6y
44 = 4(9-y) + 6y
44 = 36 - 4y +6y
44 = 36 +2y
2y = 44-36 = 12
y = 12/2 =6
x= 9-y = 9-6 =3
Cuatro amigos van al cine dos veces al mes y siempre comen un paquete de palomitas de maiz cada uno si no comia palomitas de maiz los cuatro amigos podrian ir al cine tres veces al mes sabiendo que cada paquete de palomitas de maiz cuesta $28 cual es el precio de cada entrada al cine
Answer:
El precio de la entrada al cine es de $56
Step-by-step explanation:
Cada uno de los 4 amigos las 2 veces por semana consumen un paquete de palomitas que cuesta: $28 ; entonces debemos multiplicar el costo de las palomitas por las dos veces que las consumen para saber el costo total de las palomitas:
28 x 2 =$56
El ejercicio nos dice que al no comer esas dos veces palomitas pueden ingresar a cine una tercera vez por semana ,lo que significa que al no pagar los $56 en palomitas podrán pagar una tercera entrada,lo que quiere decir que la entrada a cine es de $56.
Entonces podemos hacer la siguiente relación matemática: Precio total de las palomitas dos veces por semana = Precio de la entrada a cine.
what is equivalent to k/2
Answer:
k x 1/2
Step-by-step explanation:
because k x 1/2 = k/2
A car salesman receives 3% commission on his total weekly sales. Last week his total sales were £28500
How much commission does he earn?
Which values from the set {0, 1/2 , 2.5, 4} make the inequality 8g < 4 true?
Answer:
only 0
Step-by-step explanation:
8g < 4 simplifies to g < 4/8, i.e., g < 1/2
only 0 is smaller than 1/2
The slope of a line is -1/3, and the y-intercept is 10/3 . What is the equation of the line written in general form?
10x + 3y - 1 = 0
x + 3y + 10 = 0
x + 3y - 10 = 0
Answer:
x+3y-10=0 I hope it helps you
WHAT IS THE VALUE OF X PLEASE HURRY!!!!
Answer:
I think 48, since it's an equilateral triangle.
Step-by-step explanation:
Answer:
48
Step-by-step explanation:
cuz its a equilateral triangle
Determine if each of the numbers below is a solution to the inequality 3x-2<2-2x. SHOW ALL OF YOUR WORK
a. 2
b. 1/2
c. -3
d. 2/3
Answer:
b, c, and d are solutions
Step-by-step explanation:
3x - 2 < 2 - 2x
5x - 2 < 2
5x < 4
x < 4/5
b) 1/2 < 4/5 true
c) -3 < 4/5 true
d) 2/3 < 4/5 true
How does the expression |9 -(-5)| relate to the numbers
-5 and 9 on the number line?
A) The expression shows that 9 is greater than -5.
B)The expression shows that -5 is to the left of 0
and 9 is to the right of 0 on the number line.
C) The expression represents the sum of -5 and 9.
D)The expression represents the distance between
-5 and 9 on the number line.
Answer:
to me B makes the most sense
Step-by-step explanation:
hope this helps :)
Can someone help me with this ?
Answer:
remember powers is like multiplying that number by itself 3x3x3x3x3x3x3x3x3x3x3 ÷ 3x3x3x3
the second problem 3x3x3 × 3
(If that helps
solve for x and round to the nearest tenth. this is geometry. I will mark Brainliest. please help <3
Answer:
x= 41.8°
Step-by-step explanation:
use inverse trig to find x.
[tex]sin^{-1}[/tex]([tex]\frac{4}{6}[/tex])=x
type this into your calculator. (make sure the mode on your calculator is degree or it won't work)
x= 41.8
Hope This Helps:)
brainliest please
use inverse trig to find x
=x=41.8
