Answer :
According to the Question
Diameter of a circle field is 40m and that of another 96m .
We have to find the diameter of the circle whose area is equal to the sum of the area of given two circular fields.
Radius of field whose diameter is 40 m
→ r = 40/2 = 20m
Radius of field whose diameter is 96 m
→ r' = 96/2 = 48m
Now, calculating the diameter of Larger circular field.
Let the radius of larger field be R m .
Now, according to the given statement
Sum of Area of given two circular fields = Area of larger field
➠ πr² + πr'² = πR²
➠ π ( r² + r'²) = π R²
➠ 20² + 48² = R²
➠ 400 + 2304 = R²
➠ 2704 = R²
➠ √2704 = R
➠ 52 = R
Therefore, Diameter = 2 × R = 2×52 = 104 m
So, the diameter of Larger circular field is 104 m .
Answer:
Diameter of the circular field=40 m[tex]r = \displaystyle{ \frac{40 \: m}{2}} [/tex][tex]r=20 m[/tex]Diameter of another circular field=[tex]96 m[/tex]r=[tex]\displaystyle{\frac{96 m}{2}}[/tex]r=48 mArea of circular field(2)=[tex]πr^2[/tex]
=[tex]π×(20)^2[/tex]
=[tex]400π[/tex]
Area of circular field(2)=[tex]πr^2[/tex]
=[tex]π×(48)^2[/tex]
=[tex]2304π[/tex]
The sum of the area of the two fields=[tex]400π+2304π[/tex]=[tex]2704π[/tex]Let the radius of circular field that is formed so be r meter(m).
Now,
[tex] \cancel\pi {r}^{2} = 2704 \cancel\pi[/tex]
[tex] {r}^{2} = 2704[/tex]
[tex]r = \sqrt{2704} [/tex]
[tex]r = 52 \: m[/tex]
Area of the circular field whose area is equal to the areas of two fields,Diameter=[tex]2r[/tex]
Diameter=[tex]2×52[/tex]
Diameter=[tex]104 m[/tex]
The diameter of the circular field whose area is equal to the areas of two fields is 104 m.Step-by-step explanation:
[tex] \frak{ \blue{DisneyPrincess29}}[/tex]
If y − 3 = 3x, which of the following sets represents possible inputs and outputs of the function, represented as ordered pairs?
{(0, 3), (1, 6), (2, 9)}
{(3, 0), (6, 1), (9, 2)}
{(1, 3), (2, 6), (3, 9)}
{(3, 1), (6, 2), (9, 3)}
Answer:
A. {(0, 3), (1, 6), (2, 9)}Step-by-step explanation:
Rewrite the function in the slope-intercept form:
y - 3 = 3xy = 3x + 3The ordered pairs:
x = 0 ⇒ y = 3 ⇒ (0, 3)x = 1 ⇒ y = 6 ⇒ (1, 6)x = 2⇒ y = 9 ⇒ (2, 9)x = 3 ⇒ y = 12 ⇒ (3, 12)Correct set is A
{(3,0),(6,1),(9,2)}
because when you plug in the values you get
3-3=3(0) = 0=0
6-3=3(1) = 3=3
9-3=3(2) = 6=6
a recipe for lemenade calls for 1 cup of sugar and 5 cups of water. how much suger is used per cup of water
A bee farm can produce 1.24 L of honey every week. But during the last week of may, due to change of weather, the production was decreased by 420 ml.
How much honey (measured in ml) was produced during the last week of may?
Answer:
820 ml
Step-by-step explanation:
1000ml = 1 L
1.23 L = 1240 ml
1240 ml - 420 ml = 820 ml
Which table of values satisfies the linear equation y=-x-6?
3
x
y
-8
12
0
-6
8
-12
X
y
-4
-3
0
-6
4
-9
x
y
-8
-12
n
Answer:
I don't understand the "table." I'll assume x increases over a range of values.
Step-by-step explanation:
See attached table.
Find the value of x.
87, x,105,92,135
Answer:
121
Step-by-step explanation:
(5-2)180
180-135-105-87-92=121
If Paul is older than Bill and Fred is younger than Bill, then Bill's age is between Paul's and Fred's.
Write the To Prove statement:
Fred < Bill < Paul
Paul is older and Fred is younger
23 divided by 74.3 show step by step
hope it will helps you..........
1. Find the indicated lengths:
2. Find the value of X:
3. Find the length of AC:
Answer:
so
Step-by-step explanation:
SO YOU HAVE TO FIND LENGTH OF THE TRIANGLE
Step-by-step explanation:
I just answered 1.
by using the principle of similar triangles (all angles are the same between the 2 triangles, and the ratio of a corresponding pair of sides is the same for all pairs of sides) we get
AB = 2×38 = 76
AC = 2×24 = 48
WX = CB/2 = 66/2 = 33
2.
the upper small triangle and the whole big triangle are similar triangles.
and we see the ratio of the legs is 1/2 (each leg of the small triangle is half of the leg of the large triangle).
therefore,
3x = 24/2 = 12
x = 12/3 = 4
3.
AC = 16
because the height of C splits the baseline precisely in half, it means that this is at least an isoceles triangle (both legs have the same length). therefore the answer.
AC = CB = 16.
what is y-intercept of the line ? help mee
Answer:
1
Step-by-step explanation:
The y-intercept is the point at which the line intersects the y-axis. The x will always be equal to 0. Here, when x = 0, y = 1. This is the top option.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather
Hi!
I can help you with joy! :)
Remember, the y-intercept is the point where the graph touches the y-axis (that's why it's called y-intercept)
Now, where does the graph touch the y-axis?
It touches the y-axis at (0,1)
Thus, the y-intercept is 1.
I hope this helps you!
Enjoy your day :)
[tex]\bf{MistySparkles :)[/tex]
How can you classify quadrilaterals? Explain using
properties of sides and angles.
5 or more sentences
A quadrilateral should be closed shape with 4 sides. All the internal angles of a quadrilateral sum up to 360°
Step-by-step explanation:
Sorry my answer is not 5 or more sentences. I hope this is good as well
For step by step explanation, go to https://e-gmat.com/blogs/quadrilateral-properties-formulas-rectangle-square-parallelogram-rhombus-trapezium-trapezoid/
Good luck on your homework/test/etc!
i need helping solving this
Answer: x= 5
Step-by-step explanation:
Plug the second equation into the first equation’s y.
3x-2(-2x+7)=21
Then use distribution
3x+4x-14=21
Add 4x and 3x
7x-14=21
Then add 14 to both sides
7x=35
Divide by 7 to get x
35/7=5
x=5
Which equation describes the line with a
slope of 2 that contains the point (4, -3)?
Answer:
y = 2x - 11
Explanation:
using the formula:
[tex]\boxed{y-y1= m(x-x1)}[/tex] .........where m is slope || y1 is y value || x1 is x value
y - -3 = 2( x - 4 )
y + 3 = 2(x -4)
y + 3 = 2x - 8
y = 2x - 8 - 3
y = 2x - 11
Find m angle 1 and m angle 2
Step-by-step explanation:
Please could you snap it completely, or message me with the full snap so I can solve it. Thanks
PLEASE HELP!! Question: Which number line shows the points −125 and –2.8?
Answer:
you need picture with it
Step-by-step explanation:
1: 18 is __ % of 30
2: 56 is 80% of
3: a pack of cinnamon scented penclis sells for 4:00$ what is the sales tax rates if the total cost of the pencils is 4:32?
Answer:
1. 60%
2. 70
3. 8%
Step-by-step explanation:
I attached pictures to show my work (sorry if they’re a bit messy)!
What is the measure of the missing angle?
A
to
118°
Answer:
x = 62°Step-by-step explanation:
a straight line has a width of 180°
take off 118° from 180° and you will have x
180° - 118° =
62°
Tell me the correct answer please
4 people can dig a trench in three hours how long would it take 9 people
Answer:
6h 45 min
Step-by-step explanation:
4 × x = 3h
x = 3 ÷ 4 = 45 min
9 × 45 min = 405 min = 6.75 h
Which of the following best describes the equation below?
y= |x| +4
А.
both a relation and a function
B.
neither a relation nor a function
C. function only
D. relation only
pls help i don’t feel like doing math rnnnnn
Answer:
A relation is a function if for each value of x (input value) there is a unique value of y (output value). For the equation given in the problem:
y= |x| +4
There is a unique value of y for each value of x.
Therefore, the equation is a function and a function is also a relation.
Then, the answer is option A.
Hope this helps
The points N(-3,-3)(−3,−3), O(-3,-9)(−3,−9), and P(5,-3)(5,−3) form a triangle. Plot the points then click the "Graph Triangle" button. Then find the perimeter of the triangle. Round your answer to the nearest tenth if necessary.
Answer:
Perimeter = 30.42
Step-by-step explanation:
Using Distance Formula, √((x2-x1)^2 + (y2-y1)^2)
Find the Distance Between NO, OP, and NP
√((-3 - -3)^2 + (3 - 9)^2) - NO = 6
√((-3 - 5)^2 + (9 - -3)^2) - OP = 14.42
√((-3 - 5)^2 + (3 - -3)^2) - NP = 10
Sum All of Them = 10 + 6 + 14.42 = 30.42
PLEASE HELP DUE TODAY DO A AND B PARTS PLEASE PLEASE HELP ME FIGURE OUT THE LENGTH 100 POINTS
Answer:
Length A: 5 ft
Width B: 4 ft
volume = 88 ft³
Step-by-step explanation:
Length A: 8 - 3 = 5 ft
Width B: 8 - 4 = 4 ft
Volume
The easiest way to calculate the volume is to split the trough into two rectangular prisms. (imagine drawing a horizontal line from the internal corner of A and 4ft to the left 8ft side).
Volume of a rectangular prism = width x length x height
Volume of rectangular prism 1: B x 8 x 2 = 4 x 8 x 2 = 64 ft³
Volume of rectangular prism 2: 3 x 4 x 2 = 24 ft³
Total volume = 64 + 24 = 88 ft³
Now volume of first prism
L=8B=2H=3[tex]\\ \tt\hookrightarrow V=LBH[/tex]
[tex]\\ \tt\hookrightarrow V=8(2)(3)[/tex]
[tex]\\ \tt\hookrightarrow V=48ft^3[/tex]
For next prism
L=5B=4H=2[tex]\\ \tt\hookrightarrow V=5(4)(2)=40ft^3[/tex]
Total volume=40+48=88ft^3Of the 8760 hours in a year, most televisions are on for 2190 hours. What percent is this
Answer:
Hello!! Your answer is 25% I think!
Hope this helps!!
The numbers in this sequence increase by 8 each time.
14
22
30
38...
The sequence is continued wwith the same rule.
Which number in the sequence will be closest to 100?
Answer:
Step-by-step explanation:
Determine whether a triangle with the given side lengths is a right triangle.
Step-by-step explanation:
It is possible to determine if a triangle contains a right angle using Pythagoras' theorem . If the squares of the two shorter sides add up to the square of the hypotenuse, the triangle contains a right angle.
please answer correctly
Answer:
y=2x-1
Step-by-step explanation:
up 2 right 1 for slope
y intercept is -1
Answer:
[tex] \boxed{(b) \: y = 2x - 1}[/tex]
Step-by-step explanation:
Find the gradient( 2,3 ) and ( 0, -1)
[tex]m = \frac{y2 - y1}{x2 - x1} = \frac{ - 1 - 3}{0 - 2} = \frac{ - 4}{ - 2} = 2[/tex]
Gradient is 2
Find linear equationy - y1 = m ( x - x1 )
y - 3 = 2 ( x - 2 )
y - 3 = 2x - 4
y = 2x - 4 + 3
[tex] \boxed{y = 2x - 1}[/tex]
The larger of two numbers is 10 less than twice the smaller number. If the sum of the two numbers
is 38, find the two numbers.
Answer:
16,22
larger number=22
smaller number=16
Step-by-step explanation:
let 2x-10=larger number
let x=smaller number
x+2x-10=38
Simplify
3x-10=38
+10 +10
Add 10 to both sides of the equation
3x=48
divide both sides by 3
x=16
First answer.
2x-10=22
2nd answer
Check your work:
16+22=38
It is correct.
Answer:
66 & -28
Step-by-step explanation:
x > y
x + y = 38
x = 10 - 2y
10 - 2y + y = 38
-y + 10 = 38
-y = 28
y = -28
x + (-28) = 38
x = 66
Jasmine correctly determined the area of this parallelogram by adding the areas of the triangles and rectangle.
How did jasmine determine the area?
Enter your answer by filling in the boxes
Jasmine determined that the area of each triangle is _m2 and that the area of the rectangle is _m2. She added the areas of the two triangles and the rectangle for a total area of _
We see that each triangle takes up precisely one half of the parallelogram. From this, we see that the area of a triangle is one half the area of a parallelogram, or the area of a parallelogram is two times the area of a triangle
Answer: 20
72
112
Step-by-step explanation:
Please help to answer this question:)
Answer:
a function is defined by f(x),#10x+9
find
a, f(-2)
b, k,if f(k)#k
c, f-1(x)
(m^(6)n^(3))/(m^(2)n^(6))
Answer:
[tex](m^4)/(n^3)[/tex]
Step-by-step explanation:
See attachment
In your answer sheet, copy and find the area of the shaded region.
Use π=3.14.
PASAGOT PLSS, BADLY NEED KOOO. TY.
Answer:
First one is area of sector
Angle/360 *radius *pie squared
Secong one is the same find the area of the sector and subtract from the area of a triangle which is 2*2=4/2=2insquared
Put this in your calculator
120/360 multiply by 9 squared * pie (1)
90/360 multiply by 2 squared * pie and subtract all of that from 2 (that is the area of the triangle)
And you should get the 2 answers