Answer:
I think the answer is 112.098 yards
Answer:
112 yards
It's 112.098, but the question says "about _____ yards", so I'd round it.
Step-by-step explanation:
Circumference is calculated by (2)(pi)(radius) or (pi)(diameter). We'll use the second one, since they gave you the diameter.
C = (pi)(diameter)
C = (3.14)(35.7)
C =112.098
You want to buy a new HD TV for $454.95. The salesperson says if you buy the weekend of Father's day you can get a 15% discount. Find the following.
The Discount = enter how much you will save, not the percentage.
Price after Discount =
Sales Tax = (Use a sales tax of 8.25%)
Total Cost =
Answer:
See below.
Step-by-step explanation:
454.95x.15=68.24 DISCOUNT
454.95-68.24=386.71 Price After Discount
386.71x.0825=31.91 Sales Tax
386.71+31.91=418.62 Total Cost
Find the value of x, when log 10x + log 2 = log 60
Answer:
x = 3
Step-by-step explanation:
log 10x + log 2 = log 60
Subtract log 2 from each side
log 10x + log 2 -log 2 = log 60 - log 2
log 10x = log 60 - log 2
We know that log a - log b = log (a/b)
log 10 x = log (60/2)
log 10x = log 30
We know log a = log b that a = b
10x = 30
Divide by 10
10x/10 = 30/10
x =3
Line t intersects line u, as shown below.
11
(2x +17)
125°
What is the value of x?
A 54
B
71
С
108
125
9514 1404 393
Answer:
A. 54
Step-by-step explanation:
The two marked angles are "vertical angles," so are congruent.
125° = (2x +17)°
108 = 2x . . . . . . . . divide by °, subtract 17
54 = x . . . . . . . . . . divide by 2
Answer:
x=54
Step-by-step explanation:
2x+17 will be kept equal to 125
so 2x+17=125
2x=125-17
2x=108
x=[tex]\frac{108}{2}[/tex]
x=54 ans
Please help me on this problem
Answer:
The answer would be 20 mi
Step-by-step explanation:
a^2+b^2=c^2
a^2=144
b^2=256
C^2=400
Then you find the square root of ABC to find that C is 20
You randomly roll a number cube (single die).
What is the probability that you roll a 4.
Group of answer choices
2/3
6
1/6
4/5
Answer:
The probability that you will roll a 4 is 1/6
Step-by-step explanation:
A basic number cube has 6 sides.
Each side is marked by one of the numbers: 1, 2, 3, 4, 5, 6
The 4 is only on one out 6 of the sides so it is 1/6 probability
Please considering pressing the thank you button if it helped.
What is the value of angle vux
==============================================
There are two ways to do this.
The quicker way is to use the remote interior angle theorem. We have the interior angles 53 and 103 which add to 53+103 = 156 which is exactly the exterior angle VUX.
---------------
The slightly longer way involves finding angle TUV first. Let's say this is equal to the variable y
Adding any three interior angles of a triangle always gets us 180
53+103+y = 180
y+156 = 180
y = 180-156
y = 24
Angle TUV is 24 degrees
The angle supplementary and adjacent to this is angle VUX, which I'll call z
z+y = 180
z = 180-y
z = 180-24
z = 156
So this is another way to get to the answer 156 degrees.
What is the equation of the line that passes through (3.-1) and is parallel to the line y = 3x + 2?
Answer:
[tex]y=3x-10[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)Parallel lines always have the same slope and different y-intercepts1) Determine the slope (m)
[tex]y = 3x + 2[/tex]
From the given line, we can identify clearly that 3 is in the place of m, making it the slope. Because parallel lines have the same slope, the line we're solving for will also have a slope of 3. Plug this into [tex]y=mx+b[/tex]:
[tex]y=3x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=3x+b[/tex]
Plug in the given point (3,-1)
[tex]-1=3(3)+b\\-1=9+b[/tex]
Subtract 9 from both sides
[tex]-1-9=9+b-9\\-10=b[/tex]
Therefore, the y-intercept of the line is -10. Plug this back into [tex]y=3x+b[/tex]:
[tex]y=3x-10[/tex]
I hope this helps!
Write an equation of the line with slope -1 passing through (8,5).
Answer:
y = -1x + 13
Step-by-step explanation:
y = -1x + b
5 = -1(8) + b
5 = -8 + b
13 = b
what are some good notes I can use to study for my algebra exam tomorrow?
Answer:
all you need to do is look over your notes continue to partice as much as you can
Step-by-step explanation:
you got this
Simplify 2/3(9x−15)−(−6x+2) . Write your answer in factored form.
The value of the expression 2/3(9x−15)−(−6x+2) is 12(x - 1).
How to calculate the expression?Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.
H we, we want to simplify 2/3(9x−15)−(−6x+2). This will be illustrated thus:
2/3(9x−15)−(−6x+2) .
= (6x - 10) + 6x - 2
= 6x - 10 + 6x - 2
= 12x - 12
= 12(x - 1)
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If you start with $1000 and invest it in account that pays 3% interest compounded once a year. How much
money will you have in 10 years? (Show your equation)
Answer:
[tex]A = P(1 + \frac{r}{n} )^{nt}\\\\P = 1000\\r = 3\% = \frac{3}{00} = 0.03\\n = 1\\t = 10\\\\A = 1000( 1 + \frac{0.03}{1} )^{10}= 1000(1.03)^{10} =\$1343.92[/tex]
find acute angle between the line 2x+4y=7 and x+2y=5
Answer:
arctan(4/3) ≈ 0.9272
Step-by-step explanation:
On comparing eqⁿ to y = mx + c,
Slope of 2x + 4y = 7 is -2/4 = - 1/2
Slope of x + 2y = 5 is - 1/2
Therefore, if A is the angle b/w them,
A = arctan | (m1 + m2)/(1 - m1m2) |
A = arctan | (-½ - ½)/(1 - ¼) |
A = arctan (4/3)
Is 2.99 irrational or rational?
Answer:
rational
Step-by-step explanation:
its decimal expansion terminates after 9 and it can also be represented as fraction.
Answer:
Rational
Step-by-step explanation:
Irrational numbers are numbers that cannot be written as a fraction (denominator of 1 does not count). 2.99 can easily be written as a fraction (e.g. [tex]\frac{299}{100}[/tex]) and therefore is rational.
4) What is the domain of the function?
Please help
Answer:
-4 <= x <= 5.
Step-by-step explanation:
For the end points, we usually colour it same as the ink, in blue, to mean inclusion. Here it is red, but we will assume inclusion as well, since exclusion will not have any correct answer.
Domain consists of all the valid values of x that apply to the function, which is from -4 to 5 inclusively. We will not exclude non-integer values because this is what the graph indicates.
The only valid answer is therefore the first one, -4 <= x <= 5.
What attributes were used to organize the shapes in Circle A and Circle B?
I need a answer ASAP! And I really want it to be right!!
Have a great day!
For circle A, attribute used is right angle.
For circle B, attribute used is parallel lines.
What is right triangle?A right triangle consists of two legs and a hypotenuse. The two legs meet at a 90° angle and the hypotenuse is the longest side of the right triangle and is the side opposite the right angle.
What are Similarities of square, rectangle and parallelogram?A square, rectangle and parallelogram are quadrilaterals. Opposite sides of square, rectangle and parallelogram are parallel to each other. Adjacent angles of square, rectangle and parallelogram are supplementary. Diagonals of square, rectangle and parallelogram bisect each other.
Circle A consists of triangles.
By observing clearly that in circle A there are two right angled triangles.
For circle A, attribute used is right angle.
Circle B consists of 1 square, 1 rectangle and 2 parallelogram.
We know that in a square, rectangle and parallelogram, there are two pair of parallel lines. Opposite sides of square, rectangle and parallelogram are parallel to each other.
For circle B, attribute used is parallel lines.
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What type of number is
5
6
A) rational
B) irrational
C) integer
D) whole
Answer:
whole number if you can pick more choices it would be A, C, and D
hope this helps
have a good day :)
Step-by-step explanation:
sadie travels through two intersections with traffic lights as she drives to work. The traffic lights operate inependently. The probability that both lights will be red when she reaches them is 0.22. The probability that the first light will be rerd and the second light will not be red is 0.33. what is the probability that the second light will be red when she reaches it
Answer:
The probability that the second light will be red when she reaches it is 0.4
Step-by-step explanation:
Given the two events are independent
Hence, the probability of both the red light is (P1) * (P2) = 0.22
The probability of first light being red = probability of both the intersections to have red light + probability that the first light will be rerd and the second light will not be red
probability of first light being red = 0.22 + 0.33 = 0.55
(P1) * (P2) = 0.22
Substituting the given values, we get -
0.55 * P2 = 0.22
P2 = 0.4
One ticket to a show costs $20 at full price. Susan buys 4 tickets using a coupon that gives her 25% discount.
Answer: [tex]\$60[/tex]
Step-by-step explanation:
Given
One ticket costs $20
Susan buys 4 tickets with 25% discount
Cost of 4 tickets is [tex]4\times 20=\$80[/tex]
On applying discount, it costs
[tex]\Rightarrow 80-80\times 0.25\\\Rightarrow 80(1-0.25)\\\Rightarrow 80\times 0.75=\$60[/tex]
So, total cost of tickets is [tex]\$60[/tex].
The terms shown below are the first three terms of a geometric sequence whose common ratio is positive.
7, 4x+8, 112.
a) Determine the value of the common ratio
b) Determine the value of X algebraically.
Answer:
a. 4
b. 5
Step-by-step explanation:
a. r = √(112/7) =√16 =4
b. 4x+8 = 28
4x = 28-8
4x = 20
x= 5
The value of X algebraically is 5 and the common difference is;4.
What is a geometric sequence?There are three parameters which differentiate between which geometric sequence we're talking about.
The first parameter is the initial value of the sequence.
The second parameter is the quantity by which we multiply previous term to get the next term.
We are given that terms shown below are the first three terms of a geometric sequence whose common ratio is positive.
7, 4x+8, 112
Therefore, the common difference is;
r = √(112/7) =√16
r =4
Now, 4x+8 = 28
4x = 28-8
4x = 20
x= 5
The value of X algebraically is 5.
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PLEASE HELP ME WITH A MATH PROBLEM!!
Answer:
C.) Side-Angle-Side (SAS)
Step-by-step explanation:
A ladder leans against the wall at the point B
(window end) from a ground level and makes an
angle horizontally at 52º. The height of ladder is 15
m. When the same ladder leans above the point B
at point A (window start) and makes an angle of 85°
horizontally. The distance between point A and
point B is
Answer:
..........
Step-by-step explanation:
Given:
The height of the ladder = 15 m
When the ladder leans at point B from the ground level, then it makes an angle of 52° with the horizontal
When the ladder leans at point A from the ground level, then it makes an angle of 85° with the horizontal
To find:
The distance between point A and point B is?
Solution:
To solve the above-given problem, we will use the following trigonometric ratio of a triangle:
Referring to the figure attached below, we will assume,
BD = AD = 15 m = height of the ladder
∠BDC = 52° = angle of elevation to the foot of the window
∠ADC = 85° = angle of elevation to the top of the window
Now,
In ΔBCD, we have
Opposite side = BC
Hypotenuse = BD = 15 m
θ = 52°
∴
and
In ΔACD, we have
Opposite side = AC
Hypotenuse = AD = 15 m
θ = 85°
∴
∴ The height of the window, AB = AC - BC = 14.94 m - 11.82 m = 3.12 m
Thus, the distance between point A and point B is 3.12 m.
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Also View:
A ladder leaning against a wall makes an angle of 60 degree with the horizontal If the foot of the ladder is 2.5 m away from the wall , find the length of the ladder.
Solve for x Show your work
Answer:
x = 12
Step-by-step explanation:
To solve this and show your work, you have to start of with the equation (3x - 6) = 30.
You then have to add 6 to both sides like this:
[tex](3x - 6) = 30 \\ \: \: \: \: \: \: \: \: \: \: + 6 \: \: \: \: \: + 6 [/tex]
So then the 6 is cancelled out, and you are left with
3x = 36.
Now you just have to divide both sides by 3 like this:
[tex] \frac{3x}{3} = \frac{36}{3} [/tex]
Which cancels 3 out, and you are left with
x = 12.
Can anyone help me with this please?
Answer:
The ones selected are correct
Find the value of x
I give you 10 points if you help
Step-by-step explanation:
x = 55
I hope this is helpful
the radius of a circle is 14.2 m. Find the circumference to the nearest tenth.
Answer:
C=89.2
Step-by-step explanation:
The formula of the circumference of a circle is C=2piR (or C=piD). Now, when calculating, plug in the numbers, giving you C=2pi14.2. Multiply everything, you get a super long irrational number; just round. You will get 89.2.
what is the soultion 3-6x = 9-6x
Answer:
x=-6
Step-by-step explanation:
3-9= -6x+6x
x=-6
ans=-6
hi pls help i’ll give brainliest
Answer:
B if I remember correctly.
Find the measure of the arc or angle indicated
Does anyone understand? Need help asap
Answer:
it's 149.(54)=7
Step-by-step explanation:
that's the answer
the cost to go bowling is a function in terms of the number of games bowled. the cost to bowl 2 games with a shoe rental is $16.50. the cost to bowl 4 games with a shoe rental is $28.50. what is the cost of renting shoes?
Answer:
x = cost of games bowled = $6
y = cost of shoe rental = $4.50
Step-by-step explanation:
Let
x = cost of games bowled
y = cost of shoe rental
2x + y = 16.50 (1)
4x + y = 28.50 (2)
Subtract (1) from (2) to eliminate y
4x - 2x = 28.50 - 16.50
2x = 12
x = 12/2
x = 6
Substitute x = 6 into (1)
2x + y = 16.50 (1)
2(6) + y = 16.50
12 + y = 16.50
y = 16.50 - 12
y = 4.50
x = cost of games bowled = $6
y = cost of shoe rental = $4.50