Answer: 18.38 feet
Step-by-step explanation:
Hi, to answer this question we simply have to solve the expression √338, which is the length of the wire.
Mathematically speaking:
√338 = 18.3847 feet
Since the number after the hundredths place is less than 5:
Length of the wire: 18.34 feet (rounded to the nearest hundredth)
Feel free to ask for more if needed or if you did not understand something.
Here are 3 and 4 the only ones left!!
Answer:
the five is not is left in the diagram
The endpoints of segment TU are T(-8, 4) and U(6, -1). Calculate the coordinates of the midpoint, M. *
Answer:
The point M(Mx, My) is mid-point of TU with T(Tx, Ty) and U(Ux, Uy).
=> 2*Mx = Tx + Ux => 2*Mx = -8 + 6 => Mx = -1
=> 2*My = Ty + Uy => 2*My = 4 + (-1) => My = 3/2
=> M(-1, 3/2)
Hope this helps!
:)
Answer:
( -1, 3/2)
You insert your variables into the midpoint formula in order for you to get the right answer
please help quickly !
Answer:
i think its 2nd , 3rd and last one but im not sure
Step-by-step explanation:
Liana can see that the measure of Angle L and Angle M form a straight line. Since Liana knows that a straight line has an angle measure of 180 degrees, what is the measure (in degrees) of Angle M?
Answer:
150 degrees
Step-by-step explanation:
Let's start off by looking at what we are working with in this specific problem:
We can see that we are looking at 2 angles, angle L and angle M, that add up to a total of 180 degrees (aka a straight line)
Now that we know that, we also have to keep is mind that angle L + angle M = 180 degrees.
Now that we've got all of that out of the way, let's set up a simple algebraic equation:
angle L + angle M = 180
We also know that angle L is 30 degrees so let's add it into the equation we have just created:
30 + angle M = 180
We now know that 30 plus angle M (whatever it might be) is equal to 180 so in order to solve this problem we have to do some simple subtraction.
180 - 30 = angle M
Now we are left with:
150 degrees = angle M
Given the sequence 7, 14, 28, 56, ..., which expression shown would give the tenth term? 7^10 7·2^10 7·2^9
Answer:
F(1) = 7
F(2) = 14 = 7 x 2^1
F(3) = 28 = 7 x 2^2
F(4) =56 = 7 x 2^3
...
F(10) = 7 x 2^9
Hope this helps!
:)
Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .
Step 1) Find the total circumference
C = pi x d
d = r x 2
d = 5 x 2 = 10
C = pi x 10 = 10pi
Step 2) Find 1/4 of the circumference
10pi / 4 = 2.5pi = 7.85
Step 3) Add the two radii sides to the 1/4 circumference
7.85 + 5 + 5 = 17.85
C = 17.85 feet
Hope this helps! :)
Answer:
17.85ft
Step-by-step explanation:
the quarter circle is 90 degrees, so use this to find the length of the arc (the curve), by doing:
[tex]\frac{90}{360}[/tex]x2x3.14x5
this will give you the answer of 7.85 ft
once you got the length of the arc, add 10 (the two radiuses), to get 17.85ft
hope this helps
3) Smurfette is glad you're getting on with your adventure, but she wants to warn you that this last
system is "Smurfity smurf smurf!". She has a wire that is 100 inches long and cut into two pieces.
She wants you to find out if it's possible to bend one piece of wire into the shape of a square and the
other into the shape of a circle, so that the total area enclosed by the two pieces is 650 inches
squared. If this is possible, find the length of the side of the square, x, and the radius of the circle,
y. (Smurfette's Hint: Just smurf the smurf and the smurf...then smurf smurf the
smurf...and...smurf!!)
Answer:
take x=2.515834 and r=14.31386
Step-by-step explanation:
Let us call the the lenght of the side of the square as x. The total lenght of the wire is 100. Note that if we have a square of side x, it has a perimeter of 4x. That means, that we need a wire of length 4x to build a square of side x. Note that if we take a wire of length 4x, we have that the remainder is 100-4x. We will use this to form a circle. As for the square, since we are using the wire of length 100-4x to build a circle, it must happen that the perimeter of the circle is 100-4x.
Recall that the perimeter of a circle of radius r is [tex]2\pi r[/tex], so in this case , we have that [tex] 2\pi r = 100-4x[/tex] which implies that [tex]r =\frac{100-4x}{2\pi}[/tex].
Now, recall that the area of a square of side x is [tex]x^2[/tex]. Also, recall that the area of a circle of radius r is [tex]\pi r^2[/tex]. In our case, the area of the circle is given by
[tex] \pi r^2 = \pi (\frac{100-4x}{2\pi})^2[/tex]
Also, we are given that the sum of the areas of both figures is 650. That is
[tex] x^2 + \pi (\frac{100-4x}{2\pi})^2 = x^2+\frac{(100-4x)^2}{4\pi}=650[/tex]
By substracting 650 on both sides and multiplying by [tex]4\pi[/tex] this equation is equivalent to
[tex]4\pi x^2 + (100-4x)^2-650\cdot 4\pi =0[/tex]
if we expand [tex](100-4x)^2[/tex] and then group each term of x, x^2 we get :
[tex](4\pi+16)x^2-800x+100^2-650\cdot 4\pi =0[/tex]
Recall that given a cuadractic equation of the form [tex]ax^2+bx+c=0[/tex] the solution is given by
[tex] x = \frac{-b \pm \sqrt[]{b^2-4ac}}{2a}[/tex]
In this case, the existence of a real solution is given by the expression [tex]b^2-4ac[/tex]. For it to have a real solution, it must happen that [tex]b^2-4ac\geq 0[/tex]
In this case, b=-800, c = 100^2-650\cdot 4\pi, a = 4\pi+16[/tex]
For this values, we get that [tex]b^2-4ac = 430681\geq 0[/tex], so the is a solution for our problem.
In this case,
[tex] x = \frac{-b - \sqrt[]{b^2-4ac}}{2a}= 2.515834[/tex]
and [tex] x = \frac{-b + \sqrt[]{b^2-4ac}}{2a}= 25.4891[/tex] are the two possible solutions for this problem. We can check that this values of x fulfill our restrictions. Note that if x=25.4891, by replacing in the value of r, we get that r=-0.3113853. Since r is the radius of the circle, it must be positive. Hence, x=25.4891 is discarted.For x=2.515834 we get a value of r=14.31386, so this is the answer
A group of 2 adults and 4 children spent $38 on
tickets to a museum. A group of 3 adults and 3
children spent $40.50 on tickets to the museum.
Based on this information, how much is an adult
ticket, and how much is a child ticket?
2a + 4c = 38.00
3a + 3c = 40.50
What values of a and c represent the solution to
the system?
a=
C=
DONE
Answer:
A) 2a + 4c = 38.00
B) 3a + 3c = 40.50
We multiply A) by -1.5
A) -3a -6c = -57 then we add B)
B) 3a + 3c = 40.50
-3c = -16.50
c = 5.50
a = 8.00
Step-by-step explanation:
Will give Brainyist answer quick
Figure A is translated 3 units right and 2 units up. The translated figure is labeled figure B. Figure B is reflected over the x-axis. The reflected figure is labeled figure C. Which best explains why figure A is congruent to figure C?
On a coordinate plane, triangle A has points (1, negative 2), (3, negative 2), (3, negative 5). Triangle B has points (4, 0), (6, 0), (6, negative 3). Triangle C has points (4, 0), (6, 0), (6, 3).
A Is congruent to B and B Is congruent to C
A Is congruent to A, B Is congruent to B, C Is congruent to C
Each triangle is a right triangle.
Each triangle is an isosceles triangle.
Answer
The answer is a is congruent to b and b is congruent to c.
Step-by-step explanation:
a=b, b=c therefore a=c
Answer:
Credit to the person above me,
A.) A Is congruent to B and B Is congruent to C
Step-by-step explanation:
Edge 2021
Is the square root of 2 rational or irrational?
Answer:
irrational
Step-by-step explanation:
√2 is irrational
Answer:
It would be and irrational number!
Choose the graph of the inequality x >2
Step-by-step explanation:B
Answer:
The first graph
Step-by-step explanation:
help me out here! I’ll give you brainliest!!
Answer:
3/10 || 7/10
Step-by-step explanation:
Answer:
30%
70%
Plz mark me brainliest
Step-by-step explanation:
What is the range of the number of points scored?
A 66
B 9
C 75
D 13
The numbers are
75, 64, 63, 68, 62, and 71,
Please
Answer:
I think it is A, I might be wrong.
Step-by-step explanation:
PLEASE HELP!!! WILL MARK BRAINLIEST!!! :)
Answer:
[tex]\frac{5(x-2)}{x+1}[/tex]
Step-by-step explanation:
Answer:
[tex]\frac{5(x-2)}{x+1\\}[/tex]
Step-by-step explanation: pls mark me brainliest if you think i am. i need it to level up!!
3/6+3/6+1/6 what is the answeR
Answer: 1.16
Step-by-step explanation:
So we know [tex]\frac{3}{6} + \frac{3}{6}[/tex] will equal 1.
Now, let's take apart [tex]\frac{1}{6}[/tex] and divide it...
1 ÷ 6 = 0.16
1 + 0.16 = 1.16
[tex]\frac{3}{6} + \frac{3}{6} + \frac{1}{6} = 1.16[/tex]
I hope this helps!
The sum of the height and the radius of the base of cylinder is 34cm. If the total surface area of the cylinder is 2.992cm^3. Find radius
Answer:
Step-by-step explanation:I don't say you have to mark my ans as brainliest but my friend if it has really helped you plz don't forget to thank me...
Answer:
0.014 cm .
Step-by-step explanation:
I am assuming that it is a closed cylinder whose total surface area.
Area = 2πrh + 2πr^2
Let the radius be r and the height h, then we have the equations:
r + h = 34
2πrh + 2πr^2 = 2.992
From the first equation h = 34 - r, so substituting for h:
2πr( 34 - r) + 2πr^2 = 2.992
2πr^2 + 68πr - 2πr^2 = 2.992
68πr = 2.992
r = 2.992 / 68π
r = 0.014
Reuben would like to buy sports car that cost $35,000 today when he graduates from college in five years if the rate of information is expected to be 3% per year over the next five years how much wood Ruben expect to pay for a similar sports car in today's dollars
Answer:
$40,250Step-by-step explanation:
Amount he will pay in the next five years = Principal + Interest
Given Principal = $35,000
Simple Interest = PRT/100
R is the rate = 3%
T is the time in years = 5years
SI = 35,000 * 3 * 5/100
SI = $5,250
Amount = $35,000 + $5,250
Amount = $40,250
Ruben will have to pay $40,250 after 5years
Answer:
Reuben would pay $40574.59 in 5 years time
Step-by-step explanation:
The present value of the car, P = $35,000
Rate per year, R = 3% = 0.03 (Note that the rate is given per year and not for the whole 5 years, this means that the rate cannot be used over a period of 5 years)
Amount = P + RP = P (1 + R) = P ( 1+0.03)
Amount = 1.03P
Total time = 5 yrs
After year 1:
A = 1.03 * 35000 = $36,050
After year 2:
A = 1.03 * 36050 = $37,131.5
After year 3:
A = 1.03 * 37131.5 = $38,245.445
After year 4:
A = 1.03 * 38,245.445 = $39,392.808
After year 5:
A = 1.03 * 39,392.808 = $40574.59
Skylar and her children went into a movie theater and will buy bags of popcorn and pretzels. Each bag of popcorn costs $8 and each pretzel costs $3.25. Skylar has a total of $80 to spend on bags of popcorn and pretzels. Write an inequality that would represent the possible values for the number of bags of popcorn purchased, bb, and the number of pretzels purchased, p.P.
Answer:
[tex]8b+3.25p\leq 80[/tex]
Step-by-step explanation:
Each bag of popcorn costs $8
Each pretzel costs $3.25.
The total cost of b bags of popcorn =$8*b=$8bThe total cost of p pretzels purchased =$3.25*p=$3.25pSkylar has a total of $80 to spend on both items. This means that she can either spend less than or exactly $80.
i.e Total Cost [tex]\leq \$80[/tex]
Skylar's Total cost on popcorns and pretzels =8b+3.25p
Therefore:
[tex]8b+3.25p\leq 80[/tex]
Therefore, an inequality that would represent the possible values for the number of bags of popcorn purchased, b, and the number of pretzels purchased, p will be:
[tex]8b+3.25p\leq 80[/tex]
The volume of the sphere is
500
- cubic units.
What is the value of x?
4 units
5 units
8 units
10 units
The answer is 5 units
Step-by-step explanation:
Kachow
can anybody figure this question out cause I can't figure it out.
Answer:
there is no change because it is a circle
Which of the following are correct names for the line? SELECT ALL THAT APPLY.
A. CA
B. AC
C. AB
D. CB
AWARDING BRAINLIEST! Please help me!
Pythagorean Theorem
Answer:
B= 21
Step-by-step explanation:
A^2 + B^2 = C^2
72^2 + B^2 = 75^2
Solve for B
B = 21
4 rational numbers between 3/8 and 2/5
Step-by-step explanation:
3/8 = 15/40= 75/200
2/5 = 16/40 = 80/200
-> 4 rational numbers between 75/200 and 80/200 are 76/200, 77/200, 78/200, 79/200
What is the explicit formula for the arithmetic sequence?
an = 1.2 + (n - 1)1.5 an = 1.5 + (n − 1)1.2
an = 1.5+ (n - 1)3.9
an = 3.9+(n-1)1.5
Answer:
an = 1.2 + (n - 1) 1.5
Step-by-step explanation: opt A on edg
The total cost for electricity use in a school in January was 44277·6 pence. Write this in £, giving your answer to the nearest penny.
Answer:
£442.78
Step-by-step explanation:
There are 100 pence in 1 Pound (£)
We want to determine the value of 44277·6 pence in pounds.
Expressing it as a ratio
100:1 = 44277·6:x
[tex]\dfrac{100}{1}=\dfrac{44277.6}{y} \\$Cross multiply\\100y=44277.6\\Divide both sides by 100\\\dfrac{100y}{100}=\dfrac{44277.6}{100}\\y=442.776\\y=\£442.78$ (to the nearest penny)[/tex]
44277·6 pence=£442.78 (to the nearest penny)
Answer:
The amount in pounds ≈ £ 442.78
Step-by-step explanation:
The total cost of the electricity in the school in January was 44277.6 pence. The cost of the electricity bill in pounds can be represented below.
Let us find the number of pence that makes a pounds (£).
1 pence sterling = £ 0.01
44277.6 pence = ?
cross multiply
44277.6 × 0.01
44277.6 × 0.01 = 442.776 pounds
The amount in pounds = £442.776
Rounding to the nearest penny ≈ £442.78
How do I find mGD and mDEF?
Answer:
118 degrees; 30 degrees
Step-by-step explanation:
2x+14=1/2((6+14x)-58)
2x+14=1/2(-52+14x)
2x+14=-26+7x
40=5x
x=8
6+14(8)=6+112=118
2(8)+14=16+14=30
3. Garrison deposited $500 in an account that
earns 3% interest compounded annually. How
much interest will the account earn after 6
years?
Answer:
$90
Step-by-step explanation:
3% $500= $15
$15 times 6yrs = $90
Answer:
97.03
Step-by-step explanation:
the other guy is wrong.
Larry played the drums for 3 and 1/8 hour each day while five day band camp also played the marimba 1 and 3/5
hours on two of those days. How much time did Larry spend playing the drums and marimba during band camp?
hours
(Enter all mixed numbers as x y/z.)
Answer:
20 23/24 hours
Step-by-step explanation:
5*(3 1/8)+2*(1 3/5)
5*(25/8) + 2*(8/3)
125/8 + 16/3
375/24 + 128/24
=503/24
=20 23/24
What is the main intent of this report? to explain the services of Fast Pax to convince people to ship using Fast Pax to convince people to work for Fast Pax
The third option is the answer
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
taking it right now
y to the power of 3=64
Answer:
y=4
Step-by-step explanation:
4*4*4=64
[tex]4^{3}[/tex]=64
Answer:
y = 4
Step-by-step explanation:
y^3 = 64
Rewriting 64 as 4^3
y^3 = 4^3
When the powers are the same, the bases need to be the same
y = 4