Answer:
4.583 meters
Step-by-step explanation:
Divide 66 by pi
=21.01910828
I rounded to 21
Find the square root of 21
4.58257569...
I rounded again, to 3 decimal places
4.583
Hope it helps!
Answer:
√21 aka square root of 21
Step-by-step explanation:
The person above pretty much explained it lol
This graph shows a proportional relationship.
What is the constant of proportionality?
Answer:
[tex]m = \frac{3}{4}[/tex]
Step-by-step explanation:
Given
See attachment
Required
The constant of proportionality
Select two points on the graph
[tex](x_1,y_1) = (0,0)[/tex]
[tex](x_2,y_2) = (4,3)[/tex]
So, the constant of proportionality (k) is:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{3-0}{4-0}[/tex]
[tex]m = \frac{3}{4}[/tex]
A certain area can support 124 deer. Initially, there were 2 deer in the area, and the number has been growing at an average rate of 10% per month. Approximately how long will it take for the deer to have a population of 76, assuming logistic growth
Answer:
≈ 38.16 monthsStep-by-step explanation:
Initial number of deer = 2Growth rate is 1.1 times as 100% + 10% = 110% = 1.1Target number is 76.The equation of the growth is:
d(n) = 2*1.1^nSince the target number is 76 we get:
2*1.1^n = 761.1^n = 38log 1.1^n = log 38n = log 38/log 1.1n ≈ 38.16Answer: 46 months
Step-by-step explanation:
The graph of y = x4 – 2x2 + 1 is shown.
On a coordinate plane, a curved line has two minimum values at (negative 1, 0) and (1, 0) and one maximum value. Point A is at (negative 0.5, 0.5), point B is at (0, 1), point C is at (1, 0), and point D is at (1.6, 3).
Which point is a relative maximum?
A
B
C
D
Answer:
B
Step-by-step explanation:
relative maximum
is
the highest point after it comes from infinity
and
the highest point before it goes back to infinity
A circle has a central angle of 6 rad that intersects an arc of length 14 inches. Which equation find the length of the radius, R, of the circle?
Answer:
Step-by-step explanation:
θ=l/r
where θ is central angle in degrees.
l=length of arc.
r=radius of circle.
6=14/r
6r=14
r=14/6=7/3 =2 1/3 inches.
Someone tell me where everyone is going right please !!
Answer:
hello dude
equation;
7.8x - 100 > 79.86 + 5.8x
and answers are at the photo
HAVE A NİCE DAY
Step-by-step explanation:
greeetings from Turkey ツ
Answer:
1st drop box: (1) 7.5x - 100 > 79.86 + 5.8x
2nd drop box: (4) x > 105.8
3rd drop box: (4) 106
Step-by-step explanation:
1st drop box:
Revenue (the money you receive) must be greater than the costs (money you spend) to make a profit.
2nd drop box:
Use basic algebra to solve for x:
7.5x - 100 > 79.86 + 5.8x
(subtract 5.8x from both sides)
1.7x - 100 > 79.86
(add 100 to both sides)
1.7x > 179.86
(divide both sides by 1.7)
x > 105.8
3rd drop box:
We already know the solution to the inequality is x > 105.8
Notice how all the answer choices are whole numbers and the inequality sign is "greater than" and not "greater than or equal to".
That means it doesn't include 105.8
And it can't be 105 because 105 is NOT greater than 105.8
So the answer is 106
Hope it helps (●'◡'●)
find the compound interest on rs 800 for 2 years at 8% per annum interest being payable annually
Answer:
Rs 968
Step-by-step explanation:
Given :-
P = Rs 800 Rate = 8% Time = 2 yrs .To Find :-
Compound Interest .Solution :-
We know CI as ,
> CI = P ( 1 + R/100)ⁿ
> CI = Rs 800 ( 1 + 10/100)²
> CI = Rs 800 × 11/10 × 11/10
> CI = Rs 968 .
does anyone know the domain and range of this?
Answer:
domain=1
range= -2
hope it helps
stay safe healthy and happy.Given a circle with (4. -3) and (2, 1) as the endpoints of the diameter.
Complete question is;
Given a circle with (4. -3) and (2, 1) as the endpoints of the diameter. Write the equation of the circle.
Answer:
x² + y² - 6x + 2y + 5 = 0
Step-by-step explanation:
The end points of the diameter are;
(4. -3) and (2, 1).
Thus, the centre coordinates will be the midpoint of the diameter endpoints.
Thus;
Centre coordinates = ((4 + 2)/2), ((-3 + 1)/2) = (3, -1)
Diameter;
d = √(1 - (-3))² + (2 - 4)²)
d = √20
d = 2√5
Radius = ½ × diameter
Thus;
r = ½ × 2√5
r = √5
Equation of a circle is;
(x - a)² + (y - b)² = r²
Where;
(a, b) are coordinates of the centre of the circle
r is radius.
Thus;
(x - 3)² + (y - (-1))² = (√5)²
x² - 6x + 9 + y² + 2y + 1 = 5
x² + y² - 6x + 2y + 10 = 5
x² + y² - 6x + 2y + 10 - 5 = 0
x² + y² - 6x + 2y + 5 = 0
the amount of snowfall in jan was 2 3/4 feet. the amount of snowfall in february was 1 2/3 feet. how much snow fall was there in january? (write answer in the simplest form)
Answer this is an example 4 you
To do this problem, you need to change the way the fractions are displayed so that you can simplify them.
The first step is to change them to improper fractions: fractions like 4/3 that represent more than 100% (parts adding to more than one whole).
For example, to change the first fraction in this way, multiply the number in front (2) by the bottom number:
2 * 3 = 6
This means the 2 can also represent 6 / 3. Remember that 1 equals 3/3 so 2 equals 6/3. Now add this to the 1/3 you started with, and you end up with 7/3.
Do the same for the other fraction.
Now that you have both fractions written in this way, you can multiply each by the other's denominator to arrive at their LCD (least common denominator). It won't always be least, but you can always simplify further. In this case, the numbers are small enough that it likely won't matter.
You will end up with a fraction of halves: some number x, over 2, meaning x number of halves.
Your other fraction is 7/3. So the common denominator is the bottom numbers multiplied together: 2 * 3 = 6.
To change 7/3 to a fraction of sixths, you multiply the whole thing by two. This gets the bottom number to be six.
7 * 2 = 14
3 * 2 = 6
So this fraction can also be written as 14/6. Once again, do the same to the other fraction (but multiply by 3, to get the other fraction into sixths also, since it is currently halves).
Now you have two fractions that are both in parts of six. A ratio (x:y) is nothing more than a fraction itself. So if you had for example the ratio
2/5 : 10/5
This ratio could also be written as 1/5 : 5/5, or 1/5 to 1. Both numerators (the top number) are divisible by 2, so you can divide them both by 2 and end up with a simplified version of the same ratio.
Whatever ratio you end up with (14/6 : some other fraction), do the same thing to it. See if any of the numbers share a common factor, and simplify where possible. If it's not possible to simplify further, you're done.
A bakery offers 4 different flavors of cake, 3 types of icing, 6 toppings, and 3 different sizes. If one option is chosen from each list, how many different cakes are possible? *
Answer:
216 different cakes are possible.
Step-by-step explanation:
Given that a bakery offers 4 different flavors of cake, 3 types of icing, 6 toppings, and 3 different sizes, if one option is chosen from each list, to determine how many different cakes are possible the following calculation must be performed:
4 x 3 x 6 x 3 = X
12 x 18 = X
216 = X
Therefore, 216 different cakes are possible.
Need help with these 3 problems!
Answer:
1. 25
2. 44
3. 9
Step-by-step explanation:
Answer:
25 students44 cents9 eggsStep-by-step explanation:
If there are 3 cookies for each student and 75 cookies in total, then the equation would be 75 ÷ 3. that equals 2588 total for 2 cans. Divide 88 by 2 for the unit price. That makes 44 cents. 45 eggs total, 5 layers. Divide 45 by 5. That makes 9 eggs per layer.Please help me!
The Farmer's Ranch House
9. The farmer's house is shown in the diagram below. He wants to build a screened-in patio on the back of his house.
Use the figure to answer the questions. (6 points)
a The area of the patio is planned to be (x + 10x - 200) square feet. What will the length be?
Patio
Patio
**10) - 0-10)
Original
House
b.
What is the area of the original house in simplest form?
Terigth
c
The farmer decides to extend the width of the patio. The area of the patio with the extension is now (x2 + 12x-160) square feet. By how
many feet will the patio be extended from what you found in part a?
Answer:
The answer is below
Step-by-step explanation:
a) The patio is in the form of a rectangle. The patio has a width of (x - 10) ft. Therefore given that the area of the patio is x² + 10x - 200, hence:
[tex]Area=length*breadth\\\\x^2+10x-200=length*(x -10)\\\\x^2+20x-10x-200=length*(x -10)\\\\x(x+20)-10(x+20)=length*(x -10)\\\\(x-10)(x+20)=length*(x -10)\\\\length=x +20[/tex]
b) Area of original house = length of house * breadth of house
The length of house = length of patio = x + 20; breadth of house = x + 10; therefore:
Area of original house = (x + 20)(x + 10) = x² + 10x + 20x + 200
Area of original house = x² + 30x + 200
c) If the width is extended, hence:
[tex]Area=length*breadth\\\\x^2+12x-160=(x+20)*width\\\\x^2+20x-8x-160=(x+20)*width\\\\x(x+20)-8(x+20)=(x+20)*width\\\\(x-8)(x+20)=(x+20)*width\\\\width=x-8\\\\Extended \ width=(x-8)-(x-10)\\\\Extended \ width=2\ feet[/tex]
How much will it cost for a customer to travel:
2 miles
6 miles
How far did a customer travel if they paid £3.50
Answer:
2miles = $3
6 miles = $5
3 miles
Step-by-step explanation:
By observation of the graph, the lines match up from 2 miles to $3
Answer:
offcourse it will be 2 miles .
When principal = Rs x, Time = y years and Rate = z% per year, calculate the simple interest.
Answer:
X×Y×Z%/100
Step-by-step explanation:
using formula
si=p×t×r%/100
use the graph to find the value of y=sin q for the value of q 330
Answer: A) -0.5
Explanation:
Each tickmark is an increment of 30. Start at 270 and move 1 tickmark over to get to 270+30 = 300. Then another tickmark to the right gets us to 330.
Then from here, head straight down until you get to the curve. You should arrive at the point (330, -0.5)
So q = 330 pairs up with y = -0.5
In the image m || n || p.
Given ∠10 = 2x + 70
∠7 = 5x – 20
Find m∠3.
Given:
In the given figure [tex]m\parallel n\parallel p[/tex].
[tex]m\angle 10=2x+70[/tex]
[tex]m\angle 7=5x-20[/tex]
To find:
The [tex]m\angle 3[/tex].
Solution:
If a transversal line intersect two parallel lines, then the alternate exterior angles are equal.
[tex]m\angle 7=m\angle 10[/tex] (Alternate exterior angle)
[tex]2x+70=5x-20[/tex]
[tex]70+20=5x-2x[/tex]
[tex]90=3x[/tex]
Divide both sides by 3.
[tex]\dfrac{90}{3}=\dfrac{3x}{3}[/tex]
[tex]30=x[/tex]
Now,
[tex]m\angle 3=m\angle 7[/tex] (Corresponding angles)
[tex]m\angle 3=5x-20[/tex]
[tex]m\angle 3=5(30)-20[/tex]
[tex]m\angle 3=150-20[/tex]
[tex]m\angle 3=130[/tex]
Therefore, the measure of angle 3 is 130 degrees.
80 divided by 1.94 ≈
Answer:
41.34
Step-by-step explanation:
80/1.94
= 41.34
two significant figures, 18.96 x 2.03 is
Priya has planted a garden shaped like a right triangle. She knows that one leg of the triangle is 11 meters long and that the angle formed by that leg and the hypotenuse is 50 degrees . If Priya wants to build a fence around her garden. How many meters will she need? Round to the nearest hundredth and you must submit work to receive credit.
Answer:
She will need 41.22 meters.
Step-by-step explanation:
She knows that one leg of the triangle is 11 meters long and that the angle formed by that leg and the hypotenuse is 50 degrees .
The leg is adjacent to the hypothenuse. We know that the cosine of an angle [tex]\theta[/tex] is given by:
[tex]\cos{\theta} = \frac{l}{h}[/tex]
In which l is the length of the adjacent side and h is the hypothenuse.
Considering that we have [tex]\theta = 50, l = 11[/tex], we can find the hypothenuse.
Looking at a calculator, the cosine of 50 degrees is 0.6428.
So
[tex]0.6428 = \frac{11}{h}[/tex]
[tex]0.6428h = 11[/tex]
[tex]h = \frac{11}{0.6428}[/tex]
[tex]h = 17.11[/tex]
The other leg:
In a right triangle, with legs [tex]l_1[/tex] and [tex]l_2[/tex], and hypothenuse h, the pythagorean theorem states that:
[tex]l_1^2 + l_2^2 = h^2[/tex]
We already have one of the legs and the hypothenuse, so:
[tex]11^2 + l^2 = 17.11^2[/tex]
[tex]l^2 = 17.11^2 - 11^2[/tex]
[tex]l = \sqrt{17.11^2 - 11^2}[/tex]
[tex]l = 13.11[/tex]
How many meters will she need?
This is the perimeter of the garden, which is the sum of its dimensions, of 11 meters, 13.11 meters and 17.11 meters. So
[tex]P = 11 + 13.11 + 17.11 = 41.22[/tex]
She will need 41.22 meters.
a man buys a car for rs 80000 and spends rs 20000 more for repairing He sells it for rs 125000.find his gain percent
Step-by-step explanation:
rs 80000+rs 20000=100000
rs 125000-rs 100000=25000
rs 25000÷rs 125000=0.2
0.2 × 100= 20%
Answer: 20%
Answer:
20%
Step-by-step explanation:
Use arthmetic, comes out as 0.2 = 20%
large pies cost £3.25 each
small pies cost £1.80 each
five children together buy 2 large pies and 1 small pie. they share the cost equally - how much does each child pay
Answer:
1.66 £
Step-by-step explanation:
(2 * 3.25 + 1.80) : 5 =
8.3 : 5
1.66 £
To maintain a balanced diet, ensure that your food contains minimal amounts of certain ingredients. Which ingredient is missing in the sentence below?
One’s diet should include small amounts of fat, , and sugar.
Step-by-step explanation:
i think minerals and vitamins since they are micro nutrients
Solve for x. Round to the nearest tenth, if necessary.
Answer:
25.5402665394
Step-by-step explanation:
x=24/cos(20) = 25.54026653942
Hey is there any chance anyone could help me with this question ASAP?? Tysm :)
Answer:
6
Step-by-step explanation:
A = π. r²
36π = π. r²
eliminate π, we get:
36=r²
r=√36
r = 6
Answer:
r = 6
Step-by-step explanation:
The area (A) of a circle is calculated as
A = πr² ( r is the radius )
Given A = 36π , then
πr² = 36π ( divide both sides by π )
r² = 36 ( take the square root of both sides )
r = [tex]\sqrt{36}[/tex] = 6
Solve the equation. Where necessary, indicate when the equation has no solution or is an identity.
5(2X + 8) - 5x = 5(5x + 6)
Answer:
x=0.5
Step-by-step explanation:
10x-40-5x=2x+30
5x+10=25x
10=20x
x=0.5
determine if 5yx - 17xy are like terms
Step-by-step explanation:
yes they are because they have the same variables which are X& Y
Answer:
5yx-7xy
they are like terms, it's all multiplication just a different arrangement
5xy-7xy=-2xy
Step-by-step explanation:
hope this is helpful
Express 200 g as a percentage of 4 kg
Answer:
5%
Step-by-step explanation:
Both should be in same measurement. so convert 4 kg to gram
1 Kg = 1000 g
4 kg = 4 * 1000 = 4000 g
[tex]\frac{200}{4000}*100=\frac{2}{40}*100\\\\=\frac{1}{20}*100 = 1 * 5\\[/tex]
= 5%
2.4x-15=1
3. 2y+3= -11
4.2y+7= -7
5. 3w+3=3
Answer:
2. x=4
3. y= -7
4. y = -7
5. w = 0
Step-by-step explanation:
2.
4x-15=1
4x=16
x=4
3.
2y+3= -11
2y=-14
y= -7
4.
2y+7= -7
2y = -14
y = -7
5.
3w+3=3
3w = 0
w = 0
modrater give answer
if 107x = 22224446668880
Thane value of 1x
22224446668880÷107=207705109054.19
Answer:
[tex]107x = 22224446668880 \\ x = \frac{22224446668880}{107} \\ x = 0.0207705109[/tex]
A car and a bus were travelling towards each other at uniform speeds. They were 250 km apart at noon and passed each other at 2 p.m. If the speed of the car was 75 km/h, find the speed of the bus.
Answer:
50 km/hr
Step-by-step explanation:
speed = x + 75
distance = 250km
time = 2
250 = (x + 75) * 2
125 = x + 75
x = 50
