Answer:
Please mark me brainliest and I hope this helped!
x = 45
Step-by-step explanation:
In this case, we can use the Pythagorean Theorem to figure out the other side of the triangle.
c squared - a squared = b squared
10 squared - 7 squared = b squared
100 - 49 = b squared
51 = b squared
7.14 = b
Now that we know the other side is about 7, we can assume that x is equal to the angle between 10 and 7. So x equals 45.
What is the nth term of the following sequence……… 8, 3, -2, -7………..explain clearly aswell
8, 3, -2, -7
basically
you have to figure how to get from one term to the other. so in this case, to get from 8 to 3, you have to minus 5. and same again to get from 3 to -2, you again have to -5.
so the first past of the answer is -5n.
then after that, you have to figure out how to get from -5, to the first term of your sequence. so you have to add 13, in this case.
your answer would then be
-5n + 13Answer:
-5x + 13
Step-by-step explanation:
to find the nth term, you must find the difference between each consecutive given terms.
So,
8 and 3 = -5
3 and -2 = -5
-2 and -7 = -5
This is the m in the equation mn+c
c is the value you must add to -5n when n is 1
Hope this helps
Charge q is one unit of distance away from the source charge s. Charge p is two times further away. The force exerted between S and q is ? The force exerted between S and p.
Charge q is 1 unit of distance away from the source charge S. Charge p is two times further away. The force exerted between S and q is _____ the force exerted between S and p
a. 1/2
b. 2 times
c. 1/4
d. 4 times
Answer:
4 times
Step-by-step explanation:
Given the following :
Distance between q and S (r) = 1 unit
Distance between P and S (r) = 2 × 1 unit = 2
According to coliumbs law:
F = Ke(q1q2) /r^2
Where F = electrostatic force, Ke = coloumbs constant
q1,q2 = charges, r = distance between two charges
For q and S :
Fsq = Ke(q1q2) / 1^2
Fsq = Ke(q1q2) - - - - - equation 1
For P and S :
Fsp = Ke(q1q2) / 2^2
Fsp = Ke(q1q2) / 4 - - - - - equation 2
Dibiding equation 1 by equation 2
Fsq/Fsp = Ke(q1q2) / Ke(q1q2)/4
Fsq / Fsp = Ke(q1q2) × 4 / Ke(q1q2)
Fsq / Fsp = 4 / 1
Using cross multiplication
Therefore, Fsq = 4 × Fsp
if f(x)= x/2-3 and g(x)=4x^2+x-4 find (f+g) (x)
Answer:
(f+g) (x)=4x^2+3x/2-7
Step-by-step explanation:
f(x)= x/2-3 and g(x)=4x^2+x-4
(f+g) (x)=?
(f+g) (x)=f(x)+g(x)
(f+g) (x)=x/2-3+4x^2+x-4
combining like terms
(f+g) (x)=4x^2+x/2+x-3-4
(f+g) (x)=4x^2+3x/2-7
hope it helps. Brainliest please
Find the area of the following shape, given its curves are made from parts of circles with diameters indicated on the diagram. Give your answers in terms of π .
Answer: Area = 26π + 20 cm²
Step-by-step explanation:
There are 2 large semicircles = 1 large circle
There are 2 small semicircles = 1 small circle
There is 1 rectangle.
Find the Area of each shape above and then find their sum.
1) Large Circle: A = πr², d = 10 --> r = 10/2 = 5
A = π(5)²
= 25π
2) Small Circle: A = πr² , d = 2 --> r = 2/2 = 1
A = π(1)²
= π
3) Rectangle: A = length × width, L = 10 w = 2
A = 10 × 2
= 20
Total = Large + Small + Rectangle
= 25π + π + 20
= 26π + 20
I just wanted to say that the person who wrote the actual answer is a life saver and that answer is very correct :)
The Fibonacci sequence 1, 1, 2, 3, 5, 8, 13, 21, … starts with two 1s, and each term afterward is the sum of its two predecessors. Which one of the ten digits is the last to appear in the ones position of a number in the Fibonacci sequence?
Answer:
6
Step-by-step explanation:
Note that any digits other than the units digit will not affect the answer. So to make computation quicker, we can just look at the Fibonacci sequence in $:
$1,1,2,3,5,8,3,1,4,5,9,4,3,7,0,7,7,4,1,5,6,....$
The last digit to appear in the units position of a number in the Fibonacci sequence is $6.
The last to appear in the ones position of a number in the Fibonacci sequence is [tex]6[/tex].
The Fibonacci sequence [tex]1, 1, 2, 3, 5, 8, 13, 21[/tex], … starts with two 1s, and each term afterward is the sum of its two predecessors.
The next terms are:
1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946.
Here, it can be seen that [tex]6[/tex] is the last to appear in the ones position of a number in the Fibonacci sequence.
Learn more here:
https://brainly.com/question/13247630?referrer=searchResults
Please please help guys
Answer:
234.85
Step-by-step explanation:
This was easy!!!
(The gardener comes 4 times a month... so divide 85.40 by 4 and you will get 21.35. Each time he comes, he gets 21.35 and by the end of the month, he has 85.40. It says he already came 11 times. So 4 + 4 = 8 + another 4 that equals 12. He came only two months and a few weeks. This means multiply 85.40 by 2 so you would get 170.8. It said he came 11 times so substract 11 from 8 and you would get 3. So multiply 21.35 by 3 and get a total of 64.05. Add 170.8 and 64.05 to get 234.85!!! The answer is 234.85 or C!!!!
Answer: C. $234.85
Explanation: $85.40 (how much Katrina pays each time the gardener comes) * 4 (the number of times the gardener comes each month) = $234.85 (how much the gardener made)
Use triangle ABC to write the value of sin B as a ratio. Use triangle ABC to write the value of sin B as a ratio.
Answer:
[tex] \sin(b) = \frac{12}{13} [/tex]
Let f ( x ) = 5 x and g(x)=2x^2. (Need answer in less than 2 hours!)
Answer: (b) (g o g)(5)
Step-by-step explanation:
[tex]f(x)=\dfrac{5}{x}}\qquad g(x)=2x^2\\\\\\g(f(5)):\ f(5)=\dfrac{5}{5}=1\qquad g(1)=2(1)^2=2\\\\\\g(g(5)):\ g(5)=2(5)^2=50\qquad g(50)=2(50)^2=\large\boxed{5000}\\\\\\f(f(5)):\ f(5)=\dfrac{5}{5}=1\qquad f(1)=\dfrac{5}{1}=1\\\\\\f(g(5)):\ g(5)=2(5)^2=50\qquad f(50)=\dfrac{5}{50}=\dfrac{1}{10}[/tex]
WILL GIVE 60 PTS! PLEASE HELP ME!!!! ANYTHING WILL HELP JUST EXPLAIN HOW TO GET THE ANSWER X is increased by 50% and decreased by 30% . What is the result? I am giving 60 points!
Answer:
[tex]\frac{5x+1}{5}[/tex]
Step-by-step explanation:
Given Condition:
=> x+50%-30%
=> x+20%
=> [tex]x+ \frac{20}{100}[/tex]
LCM = 100
=> [tex]\frac{100x+20}{100}[/tex]
Taking 20 common
=> [tex]\frac{20(5x+1)}{100}[/tex]
=> [tex]\frac{5x+1}{5}[/tex]
Hope this helps!
Don't hesitate asking anything regarding this!
Simplify: -8y-(x-4x) + 3y
Answer:
-5y+3x
Step-by-step explanation:
-8y-(x-4x) + 3y
= -5y-(x-4x)
= -5y+3x
Answer: -5y+3x
Step-by-step explanation:
► Find the surface area of cylinder whose base diameter is 5cm
and height is 30cm.(pi=22/7)
Answer:
510.71 cm^2Solution,
[tex]diameter = 5 \: cm \\ height = 30 \: cm \\ surface \: area \: of \: cylinder \\ = 2\pi \: r(h + r) \\ = 2 \times \frac{22}{7} \times 2.5(30 + 2.5) \\ = 5 \times \frac{22}{7} \times 32.5 \\ = 510.71 \: {cm}^{2} [/tex]
hope this helps...
Good luck on your assignment...
Answer :
Here,
Diameter = 5cm so, radius = 5/2 = 2.5
Height = 30 cm
Surface area of a cyclinder = 2πr(r+h)
= 2 × 22/7 × 2.5 ( 30 + 2.5 )
= 5 × 22/7 × 32.5
= 510.71 cm²
Describe the graph of y > mx, where m > 0. Plz wright it in your own words I do not want a "Sample Response" if it is I will not thank you and I will report you
Answer:
that graph will feature an area delimited by a line of slope m passing through the origin (0,0). Since m>0 the slope is positive, meaning the line goes up. Since the equation is y > mx, the inequality sign being >, that means the area represented will be ABOVE the line drawn.
1/2log25-2log3+log8
Answer:
log base 10 of 40/9, log(40/9), or 0.6478
Step-by-step explanation:
Easiest and fastest way to do this is to plug it into the calc because the log base 10 of those numbers given will be nasty decimals.
When [(a2bc4)(ab3c2)]2(b2c5)3 is simplified, the exponent of b is Answer
all the numbers are roots and powers
Answer:
14
Step-by-step explanation:
We want to simplify [tex][(a^2bc^4)(ab^3c^2)]^2 (b^2c^5)^3[/tex] so as to find the exponent of b.
Let us expand all brackets:
[tex][(a^2bc^4)(ab^3c^2)]^2 (b^2c^5)^3\\\\= [a^3b^4c^6]^2 (b^{2*3}c^{5*3})\\\\= [a^6b^8c^{12}] (b^{6}c^{15})\\\\= a^6b^{8+6}c^{12 + 15}\\\\= a^6b^{14}c^{27}[/tex]
The exponent of b is 14.
Which fraction is closer to 1 than 0?
3
8
5
10
7
12
6
14
Answer:
[tex]7/12[/tex]
Step-by-step explanation:
[tex]3/8=0.375[/tex]
[tex]5/10=0.5[/tex]
[tex]7/12 \approx 0.58333333333[/tex]
[tex]6/14 \approx 0.42857142857[/tex]
Therefore, 7/12 is the closest to 1 than 0.
What is the length, in units, of segment CD?
Answer:
The answet is C.
Step-by-step explanation:
First, you have to find the angle of ACB using Sine Rule, sinθ = opposite/hypotenuse :
[tex] \sin(θ ) = \frac{oppo.}{hypo.} [/tex]
[tex]let \: oppo. = 4 \\ let \: hypo. = 5[/tex]
[tex] \sin(θ) = \frac{4}{5} [/tex]
[tex]θ = {\sin( \frac{4}{5} ) }^{ - 1} [/tex]
[tex]θ = 53.1 \: (1d.p)[/tex]
Given that line AB is parallel to line CD so ∠C = 90°. Next, you have to find the angle of ACD :
[tex]ACD = 90 - 53.1 = 36.9[/tex]
Lastly, you can find the length of CD using Cosine rule, cosθ = adjacent/hypotenuse :
[tex] \cos(θ) = \frac{adj.}{hypo.} [/tex]
[tex]let \: θ = 36.9 \\ let \: adj. = 5 \\ let \: hypo. = CD[/tex]
[tex] \cos(36.9 ) = \frac{5}{CD} [/tex]
[tex]CD \cos(36.9) = 5[/tex]
[tex]CD = \frac{5}{ \cos(36.9) } [/tex]
[tex]CD = 6.25 units\: (3s.f)[/tex]
30 POINTS! and brainliest if you have the best answer
1. How can you set up a spinner so that an event is likely?
2. How can you set up a spinner so that an event is unlikely?
3. How can you set up a spinner so that an event is impossible?
4. How can you set up a spinner so that an event is certain?
Answer:
hey guys whats up!
i think your answer is
1. you can spin the spinner a certain way and it is more likely to land on the answer you want or if it has anything to do with colors then make the color you want to take up more space.
2.you can as the other question above states do the opposite.
3.to make an event impossible you can do this:if it is a color leave it out,this means that it will not land on it so it is impossible.
4.to make an event certain you can do the opposite of answer 3
Step-by-step explanation:
hope this helps
thx
pls put brainliest
Given that y varies inversely with x, if x =7 and y = 4, what is y when x = 2?
Answer:
y = 14
Step-by-step explanation:
y ∝ [tex]\frac{1}{x}[/tex]
=> y = [tex]\frac{k}{x}[/tex] -------------(1)
Where k is the constant of proportionality
Now,
x = 7, y = 4
Putting in (1)
4 = [tex]\frac{k}{7}[/tex]
So,
=> k = 28
Now y = ? when x = 2
Putting x and k in (i)
y = [tex]\frac{28}{2}[/tex]
y = 14
Answer:
[tex]y=14[/tex]
Step-by-step explanation:
[tex]y \propto 1/x[/tex]
[tex]y=k/x[/tex]
[tex]4=k/7[/tex]
[tex]4 \times 7 = k[/tex]
[tex]28=k[/tex]
[tex]y=28/x[/tex]
[tex]y=28/(2)[/tex]
[tex]y=14[/tex]
Help a chick out only if u know what u doing
Answer:
for 12:00 1 for 1:00 2
Step-by-step explanation:
this is a pattern where each number multiplies itself by 2 making 12:00 and 1:00 pm 1 and 2
edit: is it right? if it is, may I have brainliest?
What value of x is in the solution set of 8x - 6 > 12 + 2x?
-1
e Of
3
5
Answer:
x > 3
Step-by-step explanation:
Step 1: Isolate x
6x -6 > 12
6x > 18
Step 2: Divide
x > 3
Hi. Can somebody help me with this problem
Answer:
draw a table and calculate the x axis and find the x intercept
Step-by-step explanation:
Answer:
The correct answer is ..
(-1,-2)
Step-by-step explanation:
First, you reflect over the x-axis and get (1,-2) then reflect over the y- axis and the point will be on (-1,-2)
Hope this helps!
- Quinn <3
liz buys 17 identical tickets for £208.25 estimate the cost of one ticket
Answer:
£12.25
Step-by-step explanation:
Using unit rate:
[tex]\frac{\text{Price}}{\text{Tickets}}=\frac{208.25}{17}=\frac{208.25/17}{17/17}=\frac{\boxed{12.25}}{1}[/tex]
£12.25 should be the correct answer.
Find the area of this irregular figure. All angles are right angles. 128 in2 296 in2 256 in2 80 in2
Answer:
256in²
Step-by-step explanation:
Just add the area the two Rectangals = A=128*2 = 256in² or calclute the whole and deduct the 2 missing sqares 16
384-128=256in²
which rule would best describes this pattern 8,4,10,6,12,8,14
Answer:
Subtract 4 and then add 6.
Step-by-step explanation:
8-4=4
4+6=10
10-4=6
6+6=12
12-4=8
8+6=14
The rule for this pattern can be subtracting 4, and then adding 6.
Suponha que uma variável assume os valores: 11 – 8 – 7 – a – 16 – 10 Determine a de modo que a média aritmética seja igual 11.
Answer:
a = 14
Step-by-step explanation:
The mean is the sum of the values divided by the number of values.
[tex]\begin{array}{rcl}\text{Mean}&= &\dfrac{11 + 8 + 7 + a + 16 + 10}{6}\\\\\dfrac{52 + a}{6}& = & 11\\52 + a & = & 66\\a & = & 66 - 52\\& = & \mathbf{14}\\\end{array}[/tex]
Using the given points, determine the slope.
(8, 1) and (8, -4)
slope = -5
slope = 0
slope is undefined
Answer:
slope is undefined
Step-by-step explanation:
We can use the slope formula
m = (y2-y1)/(x2-x1)
= (-4 -1)/(8-8)
= -5/0
We cannot divide by zero so the slope is undefined
Answer:
Slope is undefined .
Step-by-step explanation:
(8, 1) (8, -4)y2 - y1
m = ---------------
x2 - x1
-4 - 1 -5
m = --------------- = ----- - = 0
8 - 8 0
Work out m and c for the line: y = x + 4
Answer:
Step-by-step explanation:
HELPPPPPPPPPPP PLZZZZZZZZZZZZZZZZZZZZ!!!!!!!!!!!!
Answer:
58
Step-by-step explanation:
First, find the interior angle adjacent to the angle GFD.
180 - (34+24) = 180 - 58 = 122
Now, the exterior angle = 180 - 122 = 58
hope this helps
(10.05 LC)
If sin(x) =½
what is cos(x) and tan(x)? Explain your steps in complete sentences. (10 points)
Answer:
Cos x = [tex]\frac{base}{hypotenuse}=\frac{\sqrt{3} }{2}[/tex]
Tan x = [tex]\frac{perpendicular}{base} = \frac{1}{\sqrt{3} }[/tex]
Step-by-step explanation:
Sin x = [tex]\frac{perpendicular}{hypotenuse} = \frac{1}{2}[/tex]
So, Perp = 1 and hyp = 2
Putting this in Pythagorean theorem to get the base
[tex]c^2 = a^2+b^2[/tex]
[tex]a^2 = c^2-b^2[/tex]
base ² = 4-1
base² = 3
Taking square root on both sides
Base = [tex]\sqrt{3}[/tex]
Now
Cos x = [tex]\frac{base}{hypotenuse}=\frac{\sqrt{3} }{2}[/tex]
Tan x = [tex]\frac{perpendicular}{base} = \frac{1}{\sqrt{3} }[/tex]
The following table shows the number of medals won in the 2008 Olympics for swimming by the top five countries.
Country
Number of Medals
USA
31
Australia
20
Great Britain
6
China
6
France
6
How many degrees will the Australia section be in a circle graph of this data?
52
20°
29°
104
Answer:
I believe it is 104 degrees.
Step by Step: First, You add all the medals for all the countries, giving you 69. Then, you make Australia's medals a fraction of 69, so 20/69. After this, since a circle has 360 degrees, you make x/360 and cross multiply. This takes you to 69x=7200. Now divide 7200 by 69, which gets you 104.347, or 104 degrees.
Answer:
104 deg
Step-by-step explanation:
Total number of medals: 31 + 20 + 6 +6 + 6 = 69
Number of Australian medals: 20
Fraction of total medals won by Australia: 20/69
A circle has a total of 360 deg.
Since Australia has 20/69 of the medals, it will have 20/69 of 360 degrees in the circle graph.
20/69 * 360 = 104.3
Answer: 104 deg