Answer:
26.19 miSolution,
Arc length:
[tex]2\pi \: r \times \frac{theta \: }{360 } \\ = 2 \times \frac{22}{7} \times 10 \times \frac{150}{360} \\ = 26.19 \: mi[/tex]
hope this helps...
Good luck on your assignment..
which of the following are binomials? check all that apply
Answer: A, D, F
Step-by-step explanation: Binomials are the sums of two terms (the sum two monomials). Therefore those with two terms being added are considered binomials.
Pls help!!!!!!! I need help on this
Answer:
x = 3 ft
y = 83
Step-by-step explanation:
DEFG ≅ SPQR
So, corresponding part will be congruent
∠D ≅ ∠S ; ∠E ≅ ∠P ; ∠F≅ ∠Q ; ∠G ≅ ∠R
DE = SP
x = 3 ft
Sum of interior angles = 360
∠D + ∠E + ∠F + ∠G = 360
∠S + (y+3) + ∠Q + (y +1) = 360
107 + y + 3 + 83 + y+1 = 360
194 + 2y = 360
2y = 360 - 194
2y = 166
y = 166/2
y = 83
PLS HELP, URGENT!!
What is the following simplified product? Assume x >/= 0. ( sqrt 6x^2 +4 sqrt 8x^3) (sqrt 9x -x sqrt 5x^5)
A correct option is an option (d)
The given expression is,
[tex](\sqrt{6x^2}+4\sqrt{8x^3})(\sqrt{9x}-x\sqrt{5x^5} )[/tex]
Now, simplifying the given expression as,
[tex](\sqrt{6x^2}+4\sqrt{8x^3})(\sqrt{9x}-x\sqrt{5x^5} )=(x\sqrt{6}-8\sqrt{2}x\sqrt{x} )(3\sqrt{x} -x\sqrt{5x^5}) \\ = (x\sqrt{6}+8x\sqrt{2x} )(3\sqrt{x} -x^3\sqrt{5x} )\\=3x\sqrt{6x} -x^4\sqrt{30x}+24x^2\sqrt{2x} -8x^5\sqrt{10x}[/tex]
So, the correct option is an option (d).
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.Nisha bought a backpack that was on sale at 35% off for $63. How much was the original price of the backpack?
Answer:
$180
Step-by-step explanation:
100%=x
35%=$63
63 x 100=6300/35=$180
Answer:
96.92
Step-by-step explanation:
If the backpack was 35% off you will still pay 100 -35 or 65%
Let x be the original price
x * 65% = 63
Change to decimal form
x * .65 = 63
Divide each side by .64
x*.65/.65 = 63/.65
x =96.92
A rectangular paperboard measuring 20in long and 16in wide has a semicircle cut out of it, as shown below.Find the area of the paperboard that remains. Use the value 3.14 for pi, and do not round your answer. Be sure to include the correct unit in your answer.
Answer: 219.52 inch^2
Step-by-step explanation:
Given the dimensions of rectangular papaerboard:
Length = 20inches
Width = 16inches
Area of rectangle = Length × width
Area of rectangle = 20 × 16 = 320 in^2
Area of a circle = pi*r^2
Therefore, area of semicircle = (pi*r^2) / 2
Diameter of circle = width of rectangle = 16 inches
Radius = diameter / 2 = 16 /2 = 8inches
Therefore, area of semicircle = (pi*8^2) / 2
= (3.14 × 64) / 2
= 200.96 / 2
= 100.48 inch^2
Therefore, area of paperboard left :
Area of rectangle - area of semicircle
320 - 100.48
= 219.52 inch^2
Anyone pls I need help at this
Answer:
$62.7solution,
She starts to work at 7:45 am
She stops the work at 12:30 for lunch.
Before launch, she works 4:15 hours.
And after lunch ,she works 4 hours
Now,
total she works 8 hours 15 minutes.
For each hour,she earn 7.60
[tex]8 \times 7.60[/tex]
=$ 60.8
For another 15 min,she earns $ 1.9
So,
Total earning=60.8+1.9
=$ 62.7
Hope this helps...
Good luck on your assignment...
Can someone please help me I really need help
Answer:
9:30 A.M
Hope this helps! Have a nice day :)
Answer:
Total time they used = 2 hours 45min + 1 hour + 1 hour
= 4 hours 45min
To find the time they started watching
Subtract it from the time they came from playing soccer
that's 2:15pm
After subtracting we get
9:30 am
Hope this helps
Please help me.. I can't figure this out
Answer:
The answer is D
Step-by-step explanation:
You have to multiply each amount given by 200 and then add the two
200 x $10 = $2,000
200 x $15 = $3,000
$2,000 + $3,000= $5,000
HELPPP HELPPPP. iS this function or relation and why?
Answer:
a function, it passes the vertical line test
Step-by-step explanation:
Answer:
Function
Step-by-step explanation:
This is a function because when you do the line test there are no 2 points on the same line. The line test is when you have a bunch of lines going up and down to see if more then one point is on the same line if so it is not a function. When only one point lays on each line then it is a function.
Figure ABCD is a rectangle.Find the value of x. help !!!
Answer:
x=1solution,
In rectangle, the diagonal bisects each other,
BE=ED
[tex]2x + 4 = 7x - 1 \\ or \: 2x - 7x = - 1 - 4 \\ or \: - 5x = - 5 \\ or \: x = \frac{ - 5}{ - 5} \\ x = 1[/tex]
Hope this helps..
Good luck on your assignment..
express x^2-8x+20 in the form (x-a)^2+a where a is an integer
Answer:
(x-4)²+4
Step-by-step explanation:
Answer:
[tex](x-4)^2+4[/tex]
Step-by-step explanation:
[tex]x^2 - 8x + 20\\**********************************\\\frac{8}{2} =( 4 )^2 = 16 \\\\20 - 16 = 4\\**********************************\\x^2 - 8x + 16 + 4\\(x-4)^2+4[/tex]
Find the value of x.
14
3x-12
A
A
21
x = [?]
Answer:
Step-by-step explanation:
Set up a ratio.
An angle bisector divides the side opposite it in the same ratio as the two sides defining the angle where the vertex and angle bisector meet.
14/6 = 21 / 3x - 12
Cross multiply
14(3x - 12) = 6*21
Remove the brackets
42x - 168 = 126
Add 168 to both sides
42x = 168 + 126
Combine
42x = 294
Divide by 42
x = 294/42
x = 7
You deposit $20,000 in an account that pays 7.77% annual interest. Find the balance after 2 years when the interest is compounded monthly.
Answer:
The account balance after 24 months will be $23,092.70
Step-by-step explanation:
Given data
P= $20,000
r= 7.77%= 0.077
t= 2 years
A= ?
n= 24
The compound interest formula is
[tex]A= P(1+t)^t[/tex]
Inserting our values to solve for A we have
[tex]A= 20000(1+\frac{0.077}{24} )^2^*^2^4\\\\A= 20000(1+0.003 )^2^*^2^4\\\\A= 20000(1.003 )^2^*^2^4\\\A= 20000(1.003 )^4^8\\\A= 20000*1.15463517818\\\A= 23092.7035636\\\A= 23,092.70[/tex]
Which of the following are true statements about 30 6090 triangle
Answer:
30-60-90 triangles have one short side, one long side, and a hypotenuse.
The ratio between the sides (from short to hypotenuse to long) is 1 : 2 : sqrt(3).
Hope this helps!
Drag each number to the correct location on the table. Each number can be used more than once, but not all numbers will be used. Simplify the given polynomial expressions, and determine the degree and number of terms in each expression. (photo attached below)
Answer:
1the degree is 3 and the number of terms is 3 after simplifying
2the degree is 9 and the number of terms is 9 after simplifying
3the degree is 4 and the number of terms is 2 after simplifying
What is the area of the composite figure? ___ units^2
Answer:
34 square units
Step-by-step explanation:
The figure can be considered to be a trapezoid with a rectangle removed.
The area of the trapezoid is ...
A = (1/2)(b1 +b2)h
A = (1/2)(10 +6)(5) = 40
The area of the rectangle is ...
A = LW
A = (3)(2) = 6
Then the area of the shaded portion of the figure is ...
shaded area = trapezoid area - rectangle area
= 40 - 6 = 34 . . . square units
which number produces an irrational number when added to 1/2?
A. 0.373737...
B. 3.14159265...
C. √16
D. -4/7
The number 3.14159265 produces an irrational number when added to 1/2.
What is the sum of an irrational number and a rational number?
The sum of any rational number and any irrational number will be always an irrational number.
What is irrational number?An irrational number is a type of real number which cannot be represented as a simple fraction.
What is rational number?A number that can be represented as the quotient p/q of two integers such that q ≠ 0 is called a rational number.
According to the given question
We have a rational number 1/2.
Since, 0.373737373.... is a rational number because it is recurring and its behavior it known that 37 is repeating.
And we know that when any rational number is added with a rational number it with number we will get always a rational number.
⇒ 0.3737373737... + [tex]\frac{1}{2}[/tex] = rational number.
3.14159265... is an irrational number because its behavior is not known and it is not terminating.
So, when we add 1/2 to 3.14159265.. we get a irrational number.
√16 = 4 is a rational number. And it can be written as [tex]\frac{4}{1}[/tex].
So, [tex]\frac{4}{1} + \frac{1}{2} = \frac{9}{2}[/tex] which is a rational number.
-4/7 is a rational number. And when we add 1/2 to -4/7 we get a rational number.
i.e. [tex]\frac{-4}{7} + \frac{1}{2} = \frac{-1}{14}[/tex] which is rational number.
Hence, the number 3.14159265 produces an irrational number when added to 1/2.
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Which point is an x-intercept of the quadratic function f(x)=(x-8)(x+9)? 1. (0,8) 2.(0,-8) 3.(9,0) 4.(-9,0) If yk how to do these, pls help with my other questions :( <3
Answer:
x intercept is when y = 0, so when y is 0, x should be -9 or 8, so 4. is the only that satisfies it, therefore (-9,0)
Step-by-step explanation:
Follow me at "btracta" on insta and we can talk
What's your instagram then?
Yes 80 followers following 10 is me
The law f(t) = -t2 + 6t + 15 represents the number of kilometers of congestion, as a function of time, registered in a city. With that, determine the maximum number of congestion in that city and the maximum time to reach this value.
Answer:
Maximum Congestion: 24
Maximum Time to reach Congestion: 3
Step-by-step explanation:
Easiest and fastest way is to graph the equation and analyze the graph for it's maximum vertex.
Four cups of a salad blend containing 40% spinach is mixed with an unknown amount of a salad blend containing 55% spinach. The resulting salad contains 50% spinach. How many cups of salad are in the resulting mixture? 8 9 12 13
Answer:
12 cups of salad
Step-by-step explanation:
Let the unknown cups of salad in the mixture be x( unknown cup in 55% mixture)
Thus, we have the following expression that shows the number of salad in the resulting mixture;
4(40%) + x(55%) = (4+x)(50%)
= 0.4(4) + x(0.55) = 0.5(4 + x)
= 1.6 + 0.55x = 0.2 + 0.5x
0.2 -1.6 = 0.55x-0.5x
0.4 = 0.05x
x = 0.4/0.05
x = 8 cups of salad
So the number of salad cups in the resulting mixture = x + 4 = 8 + 4 = 12 cups of salad
Answer:
12
Step-by-step explanation:
yes
precalculus help! i'm having some trouble with my summer assignment. help would be very appreciated :)))
6.
[tex]y^2\sqrt[8]{8}[/tex]
Step-by-step explanation:
[tex]\sqrt[8]{8*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y}[/tex]
Since there are eight y's in two groups we can take them out which turns into
[tex]y^2\sqrt[8]{8}[/tex]
:)
3.
Problem 3:
We are given the following complex number and I'm assuming we want to simplify it:
[tex]\dfrac{5+i}{6+i}[/tex]
Using the complex arithmetic rule (research about this if you're not familiar with it, it's very helpful):
[tex]=\dfrac{(5\times6+1)+(6-5)i}{6^2+1^2}[/tex]
[tex]=\dfrac{31+i}{37}[/tex]
Simplifying gives us:
[tex]=\dfrac{31}{37}+\dfrac{1}{37}i[/tex]
Problem 6:
You seem to have done this problem correctly
[tex]\sqrt[8]{8y^{16}}[/tex]
Expanding gives us:
[tex]=\sqrt[8]{y^{16}}\times\sqrt[8]{8}[/tex]
[tex]=y^2\sqrt[8]{8}[/tex]
This can't be simplified further as the 8th root of 8 gives us an irrational number
Let me know if you need any clarifications or extra help, thanks!
Cape Beale Lighthouse, BC, is
on a cliff that is 51 m above sea
level. The lighthouse is there
to warn boats of the danger of
shallow waters and the
possibility of rocks close to the
shore. The safe distance for
boats from this cliff is 75 m. If
the lighthouse keeper is 10 m
above ground and observes a
boat at an angle of depression
of 50°, is the boat a safe
distance from the cliff? Justify
your conclusion.
Answer:
tan 50 = (51+10)/x where x is the distance of the boat
x = 51.2 m
Boat is in an unsafe area
Step-by-step explanation:
<3
In his pocket, Hamid has $2.95 in dimes and quarters. If there are 16 coins in total, which system represents the number of dimes and quarters that Hamid has? x + y = 16. 0.10 x + 0.25 y = 2.95. x + y = 16. 0.05 x + 0.25 y = 2.95. x + y = 2.95. 0.10 x + 0.25 y = 16. x + y = 16. 0.01 x + 0.25 y = 2.95.
Answer: x + y = 16. 0.10 x + 0.25 y = 2.95. x + y = 16.
Step-by-step explanation:
You know that there are 16 coins in all, so x + y has to equal 16 (x being dimes and y being quarters) but you also know that whatever compilation of dimes and quarters is equal to $2.95.
Hope this helped you! Feel free to ask any further questions!
The system of equations which represents the number of dimes and quarters that Hamid has are x+y=16 and 0.10x+0.25y=2.95.
What is equation?Equation is relationship between two or more variables that are expressed in equal to form. Equation of two variables look like ax+by=c. It is of many types like linear equation, quadratic equation, cubic equation, etc.
How to form equation?Suppose the number of dimes be x and the number of quarters be y.
According to question there are 16 coins, so
x+y=16-----1
1 dime=$0.10
1 quarter=$0.25
According to question Hamid has $2,95 ,so
0.10x+0.25y=2.95.
Hence the system which represents the number of dimes and quarters that Hamid has are x+y=16 and 0.10x+0.25y=2.95.
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Help please!!
Solve the equation -5m = -20.
m = 1/4
m = -1/4
m = -4
m = 4
Answer:
m=4
Step-by-step explanation:
-5m=-20
m= - 20/-5
m=4
Answer:
M=4
Step-by-step explanation:
This question was on my online school assignment. I can go back on my assignments and review and I had got it right.
Martin is an after-school math tutor. He noticed that 6 people still needed help and only 2/5 of the tutoring session time was left. Since each person is to be given an equal amount of time, Martin wrote the expression below to find the fraction of the tutoring session each person who still needed help would be allotted. 2/5÷6 Which expression is equivalent to Martin’s expression? A.6/15÷6 B.6/5÷2 C.5/2÷6 4.2/5÷6 Help!! A:18 ÷2/9 B:18×2/9 C:2/9
Answer:
A
Step-by-step explanation:
Trust me on this and I also have a reason.
Divide 2/5 by 6 to get 1/15, then divide 6/15 by 6 to get 1/15, and both of these are simpflied.
Can I also get brainlest, I hope you do well!
The expression equivalent to Martin's expression is A. 6/15 ÷ 6.
What is Division?Division is simply the opposite operation of multiplication. It is one of the basic mathematical operations where a number is divided into equal parts as that of another number.
The number being divided is called dividend and the number which divides dividend is called divisor. The resulting number after the operation is called quotient.
We have to divide the expression 2/5 ÷ 6.
When a fraction is divided by another number the divisor is change into it's reciprocal and the multiplied to the dividend.
Here dividend = 2/5 and divisor = 6
Reciprocal of 6 = 1/6
So 2/5 ÷ 6 = (2/5) × (1/6) = 2/30 = 1/15
Simplify the numbers in the options.
A. 6/15 ÷ 6 = (6/15) × (1/6) = 1/15
Hence the equivalent expression of 2/5 ÷ 6 is 6/15 ÷ 6.
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write down the value of 5 in 19.54
Answer:
10ths Place (Decimal)
Step-by-step explanation:
Whole numbers:
The 1 in 19.54 is in the tens place.
The 9 is in the ones place.
Decimals:
The 5 is in the tenths place.
The 4 is in the hundredths place.
Answer:
look below for your answer
Step-by-step explanation:
5 is in the tenth column
i hope i helped you
please mark my answer as brainliest
please please help meeee
Answer:
16
Step-by-step explanation:
10/a = 15/24
Cross multiply.
15 × a = 10 × 24
15a = 240
Divide both sides with 15.
a = 240/15
a = 16
Answer:
a = 16
Step-by-step explanation:
=> [tex]\frac{10}{a} = \frac{15}{24}[/tex]
Cross Multiplying
=> 10 * 24 = a * 15
=> 15a = 240
Dividing both sides by 15
=> a = 16
Select the two values of x that are roots of this equation.
x2 + 3x - 6 = 0
A. X=
-3 - 33
2
B. X=
-3+ /33
2.
O C. X =
-3+v15
2
D. *= -3- V15
2
Answer:
answers are a and b
picture shown
Two friends decide to run everyday for exercise Steve runs 2.5 miles per day. Sam runs 6.5 miles per day gho many days will it take for the to reach 450 miles combined?
Hey there! I'm happy to help!
We see that Steve runs 2.5 miles per day and Sam runs 6.5 miles per day. If you add these together, we see that they run 9 miles every day.
We now need to see how many of these 9 mile days fit into this 450 miles. Let's divide 450 by 9 and we will see how many days it will take for them to reach 450 miles combined.
450÷9=50
Therefore, it will take Steve and Sam 50 days to reach 450 miles combined!
Have a wonderful day! :D
Finding which number supports the idea that the rational numbers are dense in the real numbers?
an integer between –11 and –10
a whole number between 1 and 2
a terminating decimal between –3.14 and –3.15
Answer:
a terminating decimal between –3.14 and –3.15
Step-by-step explanation:
Rational numbers are numbers that can be written as the quotient or fraction of two integers, and this contain a numerator and a denominator which is non-zero number.All rational numbers are real numbers and all integers are real numbers as well.
A natural numbers are the positive integers which is also referred to as non-negative integers, examples include 2, 200, 3, 4, 5, 156 .. ∞. we can say natural numbers are a set of all the whole numbers.
These numbers are enclosed by integers, which comprise some negative numbers such as -18, -9, -183 and so on.
In addition, an integers are also enclosed by rational numbers, which comprises terminating decimals such as 8.34, 3.44,15.7543,4.075421 and so on.
With the given terminating decimal between -3.14 and -3.15, It can be deduced that rational numbers contain integers,since integers also include negative numbers because integer are numbers that is devoid without of any fractional component
Answer:
d
Step-by-step explanation: