Answer:
Step-by-step explanation:
radius r=10/2=5 ft
h=6 ft.
volume of cone=1/3 πr²h=1/3×3.14×5²×6=157 cubic ft.
Straight line A has the equation y = 3x + 2. Find the equation of the line parallel to A and goes
through the point (3,8)
Answer:
y = 3x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x + 2 ← is in slope- intercept form
with slope m = 3
Parallel lines have equal slopes , then
y = 3x + c ← is the partial equation
To find c substitute (3, 8 ) into the partial equation
8 = 9 + c ⇒ c = 8 - 9 = - 1
y = 3x - 1 ← equation of parallel line
Plzzzz help me
In indirect variation if y = 5 and x = 10, what is the value of k (the constant)?
y=kx
5=10k
k=10-5
k=5 is the correct answer
29. (09.04 MC)
Using the following equation, find the center and radius:
x2 + 2x + y2 + 4y = 20 (5 points)
The center is located at (1, 2), and the radius is 25.
The center is located at (-1, 2), and the radius is 25.
The center is located at (-1, -2), and the radius is 5.
The center is located at (1, 2), and the radius is 5.
Answer:
The center is located at (-1, -2), and the radius is 5.
Step-by-step explanation:
The general equation of a circle is given as
(x - a)^2 + (y - b)^2 = r^2
where
a and b are the centre of the circle and r is the radius
Given the equation
x2 + 2x + y2 + 4y = 20
add 1 ad 4 to both sides
x2 + 2x + 1 + y2 + 4y + 4 = 20 + 4 + 1
factorise
(x +1)^2 + (y+2)^2 = 5^2
comparing with the general equation
a = -1, b = -2, r = 5 (all measured in units)
Answer: The center is located at (-1, -2), and the radius is 5.
Step-by-step explanation:
A store sells 5-liter cans of paints. Last month, the store sold a total of 2,480 liters of paint. How many cans of paint did the store sell last month
Answer:
496
Step-by-step explanation:
cans sold = total liters sold / capacity of each can of paint
2480 / 5 = 496
How many solutions does the system have ?
Answer:
one
Step-by-step explanation:
althought the lines look parallel the
slope on the blue line is 1
slope on the red line is 3.5
therefor there is one solution
a) Make t the subject of the formula
[tex]( \sqrt{t + 2) \div u = 1} [/tex]
Dana Wright operates an airport limousine service. He owns the limo and does his own driving. He values his driving time at $25 per hour. He pays a commission fee of $10 to the person who brings him the business. A trip to the airport takes three hours and uses $25 worth of gasoline. If Dana charges each customer $200, what is his contribution margin per unit of sale? How much does Dana make on each trip as a driver? As the owner of the business?
Find the volume of a right rectangular prism with length 10 in., width 6 in., and height 5 in. Round to the nearest tenth, if necessary.
Answer:
300 cubic inches
Step-by-step explanation:
V = lwh
V = 10(6)(5)
V = 300
Find the value of x.
Answer:
46degrees
Step-by-step explanation:
Find the value of x.
Using the circle theorem which states that
The angle at the vertex is half the difference that at the intercepted arcccs
x = 1/2(152 - 60)
x = 1/2 (92)
x = 92/2
x = 46degrees
Hence the value of x is 46degrees
The expression x4 - 16 is equivalent to
Answer:
4(x-4)
Hope this helps
Have a good day :)
Step-by-step explanation:
Luther owns a farm where he grows red and green tomatoes. He sells both types of tomatoes for $1.70 per pound . One customer brought 10.6 pounds of red tomatoes and 8.3 pounds of green tomatoes. How much money did Luther earn in all from that sale ?
Total revenue= $32.13
Claudio needs to buy gifts for 8 friends. He wants to give the same gift to all his friends and he plans to have the gifts wrapped for an additional charge of $1.50 each. If Claudio spends at least $70, he will receive free shipping on his order. Write and solve an inequality to determine how much Claudio needs to spend on each gift in order to receive free shipping.
Answer:
7.25
Step-by-step explanation:
In the question, the term at least means less than or equal to is represented by ≥
Let the cost of each gift = c
He is buying gifts for 8 friends = 8 gifts
Hence, our Inequality equation is written as:
(c + $1.50)× 8 ≥ $70
8c + 12 ≥ 70
8c ≥70 - 12
c ≥ 58/8
c≥ 7.25
Therefore, the amount Claudio needs to spend on each gift in order to receive free shipping is 7.25
Convert 12/5into a percent
Answer:
[tex]240\%[/tex]Step-by-step explanation:
[tex] \frac{12}{5} \: into \: percentage[/tex]into decimal form:
[tex]2.4[/tex]
[tex]2.4 \times \frac{100}{100} [/tex][tex] \frac{(2.4 \times 100)}{100} [/tex][tex] \frac{240}{100} [/tex][tex]240\%[/tex]
Hint:
[tex] \frac{100}{100} = 100 \div 100 = 100\% = 1[/tex][tex]p\% = \frac{p}{100} = p \div 100[/tex]Hope it is helpful...6.
Write the linear inequality shown in the graph. The gray area represents the shaded region.
A. y ≥ –3
B. y > –3
C. x ≥ –3
D. x > –3
Answer: I'm gonna go with letter A.
A. y ≥ –3
C. x ≥ –3
Step-by-step explanation: It's either letter A or letter C.
A.
y ≥ –1
need help please to pass
Answer: None of the other answers are correct
Step-by-step explanation: Hope this help :D
In a 60 sheet package of construction paper there are 15 yellow sheets what is the probability that a randomly selected sheet will be yellow
Answer:
15/60 or 1/4, which is 25%
Step-by-step explanation:
In the figure below, points D, E, and F are the midpoints of the sides of LABC,
Suppose DF=34, AC=48, and BC=78.
Find the following lengths.
Answers:
DE = 39AB = 68BE = 34=============================================================
Explanation:
BC = 78 is parallel to the midsegment DE.
This parallel midsegment is half as long as BC, so DE = BC/2 = 78/2 = 39
-------
DF = 34 doubles to AB = 2*DF = 2*34 = 68, since the midsegment is half as the parallel side, so we just think in reverse of that process.
-------
BE = 34 for two reasons
Quadrilateral EBFD is a parallelogram with opposite sides BE and DF that are congruent. E is the midpoint of AB, so BE is half as long as AB--------
We don't use the info that AC = 48.
Mrs. Murphy's students measured their pencils. She made this line plot to show the data. Mrs. Murphy told the students that they should get a new pencil if their pencil length was 4 inches or shorter. How many students will need new pencils?
Answer:
8 students
Step-by-step explanation:
Line Plot is a graph that presents data through number line. Here, possible values of considered variable are on number line, & their frequency is denoted by number of dots or crosses above.
As per given line plot for pencils height : pencil height 3 with 3 students, pencil height 4 with 5 students , pencil height 5 with 3 students
So, students having pencil height < 4, ie = 3 & 4 , are 3 + 5 [ total 8 ] students]
Question:
Why do you think there is a limit on the number of times you can withdraw or transfer money in your savings accounts?
(PLEASE ANSWER IN YOUR OWN WORDS!)
Answer:
Step-by-step explanation:
The bank uses money deposited into savings and other accounts for investments and loans. They need to ensure that the money won’t be withdrawn so they have use of that money.
A cone has a volume of 4823.04 cubic inches and a radius of 16 inches. What is its height? Use ≈ 3.14 and round your answer to the nearest hundredth.
Answer:
[tex]volume = \frac{1}{3} \pi {r}^{2} h \\ 4823.04 = \frac{1}{3} \times 3.14 \times {16}^{2} \times h \\ 4823.04 = 268.08h \\ h = 17.99 \: inches[/tex]
PLS HELP!!! WILL GIVE BRAINLIST!!!
Which graph represents the solution to the system of equations?
y = 2x + 5
y = 1/3x - 2
(See Picture)
Answer: Second answer first row
How to: Graph
Have a great day and stay safe !
urgent please help :)
Answer:
60
Step-by-step explanation:
if you look at it close the top shape is half of 12 so its 6 so nosubtract 6 from 18 and get 12 now add (18+12+6+6+12+6=60)
What is the value of B for the following triangular prism? Remember that there are 10 millimeters in a centimeter.
https://dw6y82u65ww8h.cloudfront.net/organisations/328/054d6410-41ab-4256-930e-c3b93182f45f/img_volume_triangular_prism_2.gif
15 cm 2
30 cm 2
3 cm 2
1.5 cm 2
Anyone know how to do this?
PLEASE HELP DUE IN A FEW MINUTES, LIKE LITERALLY 5 MINUTES, 69 POINTS FOR THE FIRST THREE OT FOUR
calculate the magnitude of each of the unknown angles
Answer:
a. x =145
b. a = 75 c=75 b= 105
c. y= 115
d. z = 105
Step-by-step explanation:
a. half a circle equals 180 degrees, subtract 35 from 180 gives u the answer
b. full circle equals 360 degrees, angle 105 is congruent to b meaning b is also 105. Leaving us with 150 degrees, divide 150 by 2 giving 75 to both a and c.
c. add 160 and 85 gives us 245 then subtract that from 360 giving us 115.
d. again half a circle equals 180. subtract 75 from 180 gives us 105
Answer:
Hello!
a: x = 145
b: b = 105 c = 75 a = 75
c: y = 115
d: z = 105 not to sure for question d so put that at your own risk everything else im sure about
8x6, then 11x12, 12x8 and 8x12 8x7 than add the answers together
Jimmy has a collection of 1400 baseball cards. Of these cards, 15%, are
players from before 1980, 10% are players from 1980 to 2000, and the
rest are players from after 2000. How many players does Jimmy have
from after 2000?
Answer:
Your answer is 1050 cards are from after the 2000s.
Step-by-step explanation:
25% of the cards are before 2000, so that means 75% of 1400 cards are after the 2000s.
.75*1400 = 1050
The Fergusons want to install a new tile floor in their kitchen. The kitchen is in the shape of a rectangle and is 9 feet by 12 feet. They have chosen large square tiles that are 2 feet by 2 feet. how many tiles will they need to buy to cover their kitchen floor?
Answer:
27 tiles
Step-by-step explanation:
First, find the total area of the kitchen.
Use the area formula, A = lw
A = lw
A = (9)(12)
A = 108
So, the area of the kitchen is 108 sq ft
Find the area of the square tiles, using the same formula:
A = lw
A = (2)(2)
A = 4
So, the area of one square tile is 4 sq ft
Find how many tiles they will need to buy by dividing the total area by the area of one tile:
108/4
= 27
So, they will need to buy 27 tiles
Answer:
27 tilesTo find the total area of the kitchen.
We know,area formula, A = lw
A = lw
A = (9)(12)
A = 108
So, the area of the kitchen is 108 sqft
NowTo find the area of the square tiles
A = lw
A = (2)(2)
A = 4
So, the area of one square tile is 4 sqft
AtlastFind how many tiles they will need to buy by dividing the total area by the area of one tile:
108/4
= 27
So, Tiles Needed= 27
Hope This Helps You ❤️Find the value of x in each figure
Answer:
20...90°-46°
=44°
therefore 44÷4
=11
therefore x=11
21....90°-20°
=70°
70-15
=55
therefore x=55°
22...90°÷3
=30
THEREFORE X=30°