Answers
x = 10.4 (1dp)
Step-by-step explanation:
Using Pythagoras' theorem, a^2 = b^2 + c^2 where a is the hypotinues; b and c is the two sides
a^2 = b^2 + c^2
12^2 = 6^2 + x^2
144 = 36 + x^2
x^2 = 144 - 36
x^2 = 108
x = _/108
x = 10.4 (1dp)
Related Questions
How many filled sandwich cookies would you need to reach of 1700 mm if you only had one top of the cookie, the stuffing and one bottom of the cookie? Height of top of cookie 3.5 mm height of stuffing 2 mm and height of bottom of cookie 3.5 mm
Answers
Answer:
??
Step-by-step explanation:
You earned a 90% on a science test. You answered 18 questions
correctly. How many questions were on the test?
Answers
Answer:
20 questions
Step-by-step explanation:
10 divided by 20 is 0.9 which would be 90%
What number can be replaced with K to make
this a function?
(-5,8) (4,9) (K, 9) (9,9)
A)-5
B)4
C)-9
D)9
Answers
-9 because a function is when an input has only one output
you don’t want to repeat the first numbers in the bracket
and there’s -5, 4 and 9 already so its -9
PLZ Help Urgent. 15 POINTS, BRAINLY Guaranteed.
Plz Answer honestly or you will be reported.
Multiply.
15 ⋅ 1/3
1/45
1/5
5
45
Answers
Answer:
5
Step-by-step explanation:
[tex]\frac{15}{1}[/tex] multiplied by [tex]\frac{1}{3}[/tex]
which makes: [tex]\frac{15}{3}[/tex]
simplify: 5
it takes two pizzas to feed five people how much pizza does it take to feed 45 people
Answers
Answer:
18 pizzas
Step-by-step explanation:
5x9=45
2x9=18
Welcome to Brainly :)
Answer:
18
Step-by-step explanation:
if it takes 2 pizzas to feed 5 people you 5 by 9 to get 45. You do the same with the 2 and 2 * 9 = 18
Ebony's bank balance first reached $400 on Day 4. The last day her balance was $400 was Day 8. Look at the picture. Brainliest Answer. Only answer if your 100% sure .
Answers
Answer:
It stays true because it stays the same amount so B would be the correct answer.
Step-by-step explanation:
Consider a coin that a head is twice more likely to occur than a tail. Find the variance of number of heads when the coin is tossed three times.
Answers
Answer:
0.667
Step-by-step explanation:
Given that :
Head is twice more likely to occur than a tail.
P(head) = p(H) = 2/3
P(tail) = p(T) = 1/3
If coin is tossed 3 times :
P(H = 0) :
1st toss = tail ;2nd toss = tail ; 3rd toss =. Tail
(1/3) * (1/3) * (1/3) = 1 / 27
P(H= 1)
HTT, THT, TTH
(2/3 * 1/3 * 1/3) + (1/3 * 2/3 * 1/3) + (1/3 * 1/3 *2/3)
= 2/27 + 2 /27 + 2/27
= 6/27 = 2/9
P(H=2)
HHT, HTH, THH
(2/3 * 2/3 * 1/3) + (2/3 * 1/3 * 2/3) + (1/3 * 2/3 * 2/3)
= 4/27 + 4/27 + 4/27
= 12 / 27
= 4 /9
P(H = 3)
HHH
(2/3 * 2/3 * 2/3)
= 8 / 27
X ___ 0 ___ 1 ____ 2 ____ 3
P(x) _ 1/27 _ 2/9 __ 4/9 __ 8/27
E(X) = (0 * (1/27)) + (1 * (2/9)) + (2 * (4/9)) + (3 * (8/27)) = 2
E(X) = 2
Var(X) = Σx²p(x) - E(X)²
= (0^2 * (1/27)) + (1^2 * (2/9)) + (2^2 * (4/9)) + (3^2 * (8/27)) - 2^2
= 4.667 - 4
= 0.667
Hence, Var(x) = 0.667
Yvette invests $300 each quarter in a fixed-interest mutual fund paying annual
interest of 7% compounded quarterly. How much will her account have in it at
the end of 11 years?
Answers
Answer:
Step-by-step explanation:
The formula for calculating the amount after t years is expressed as;
A = P(1+r/n)*nt
P is the Principal (amount invested) = $300
r is the rate = 7% = 0.07
t is the time used to save = 11 years
n is time of compounding = 1/4 (quarterly)
Substitute;
A = 300 (1+0.07/(1/4))^(1/4)(11)
A = 300(1+4(0.07))^2.75
A = 300(1+0.28)^2.75
A = 300(1.28)^2.75
A = 300(1.9716)
A = 591.49
Hence the amount that will be in her account after 11 years is $591.49
simplify ...........x^4/3+1=3
Answers
Answer:
2 3/4 or 2.75
Step-by-step explanation:
Solve the system of equations algebraically.
5x - 3y = 6
6x - 4y = 2
a. many solutions
C.
no solution
b. (8, 14
d. (9. 13)
Please select the best answer from the choices provided
Ο Α
ОВ
О С
Answers
Answer:
[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]
[tex]x=9,\:y=13[/tex]
the option 'd' is correct.
Step-by-step explanation:
Given the system of the equations
[tex]\begin{bmatrix}5x-3y=6\\ 6x-4y=2\end{bmatrix}[/tex]
[tex]\mathrm{Multiply\:}5x-3y=6\mathrm{\:by\:}6\:\mathrm{:}\:\quad \:30x-18y=36[/tex]
[tex]\mathrm{Multiply\:}6x-4y=2\mathrm{\:by\:}5\:\mathrm{:}\:\quad \:30x-20y=10[/tex]
[tex]\begin{bmatrix}30x-18y=36\\ 30x-20y=10\end{bmatrix}[/tex]
[tex]30x-20y=10[/tex]
[tex]-[/tex]
[tex]\underline{30x-18y=36}[/tex]
[tex]-2y=-26[/tex]
[tex]\begin{bmatrix}30x-18y=36\\ -2y=-26\end{bmatrix}[/tex]
solve for y
[tex]-2y=-26[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}-2[/tex]
[tex]\frac{-2y}{-2}=\frac{-26}{-2}[/tex]
[tex]y=13[/tex]
[tex]\mathrm{For\:}30x-18y=36\mathrm{\:plug\:in\:}y=13[/tex]
[tex]30x-18\cdot \:13=36[/tex]
[tex]30x-234=36[/tex]
[tex]30x=270[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}30[/tex]
[tex]\frac{30x}{30}=\frac{270}{30}[/tex]
[tex]x=9[/tex]
[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]
[tex]x=9,\:y=13[/tex]
Therefore, the option 'd' is correct.
Hamburger meat sells for $6 for every 3 pounds. If Alicia buys 10 pounds of hamburger meat, how much will she pay?
Answers
Every pound is $2
6*3+2
Answer:
20
Step-by-step explanation:
find the rate of change (2,15.50) (4,31.00)
Answers
Answer:
The answer is 7.25
Step-by-step explanation:
I suggest you search for, "khan academy slope."
Hope this helps :)
Addison has a balance of $3,450 on her credit card that has an APR of 18%. She currently pays the minimum monthly payment of $86.25. If Addison wants to pay off her balance in 24 months, determine the monthly payments she would need to make. Choose the following modification with the least cuts to her current expenses that will allow Addison to pay off her balance in 24 months.
Income
WAgES
$2,278.00
EXPENSES
Rent
$950.00
Utilities
$232.45
Food/Clothes
$445.00
Entertainment
$270.00
Car
$200.00
Credit Card
$86.25
Cell Phone
$77.89
Net Income $16.41
a.
Addison can eliminate $73 from Food/Clothes and $100 from Entertainment.
b.
Addison can eliminate $45 from Food/Clothes and $41 from Entertainment.
c.
Addison can eliminate $25 from Food/Clothes and $22 from Entertainment.
d.
The minimum payment is enough to pay off the balance within 24 months.
ANSWER IS B)Addison can eliminate $45 from Food/Clothes and $41 from Entertainment.
Answers
Answer: (B) Addison can eliminate $45 from Food/Clothes and $41 from Entertainment.
Based on the information given, Addison should eliminate $45 from the money budget for Food/Clothes ($445.00) and $41 from Entertainment ($270.00).
Given the following data:
Balance = $3,450.APR = 18%.Monthly payment = $86.25.Time = 24 months (2 years).How to calculate monthly payment.Mathematically, the monthly payment for a credit card can be calculated by using this formula:
[tex]M=P(\frac{r}{1-(1+r)^{-nt}} )[/tex]
Where:
P is the principal.r is the interest rate.M is the monthly payment.t is the time.n is the number of times it's compounded.In this scenario, Addison should eliminate $45 from the money budget for Food/Clothes ($445.00) and $41 from Entertainment ($270.00) because they are the least cuts to her current expenses and they would avail her an opportunity to pay off her balance in 24 months (2 years).
Read more on monthly payment here: https://brainly.com/question/2151013
Just the image below.
Answers
Answer:
Step-by-step explanation:
I'm answering this silly thing only because it seems to have an expected answer
B: is about the only answer you cannot give.
C and D are Both open ended at 15 which doesn't allow you to say that the first acceptable answer is 16
The only answer you can pick is A. The amount starts at 15 and you keep going until you hit 70. That doesn't mean you have to stop. It just means that it represents what he desires to make.
What is the slope of the line that contains these points?
Answers
Answer:
-5/4
Step-by-step explanation:
Slope = (y2-y1)/(x2-x1)
Slope = (5-10)/(49-45)
A bag contains two coins, one for which the probability of heads is equal to 1 and one for which the probability of heads is equal to p. A coin is selected at random, and three independent tosses of this coin result in three heads. What is the probability that a further independent toss of this coin will produce a head?a. p4/1 + p3.b. p3 - p2/1 + p3.c. p3/1 - p.d. 1/1 + p3.e. 1 + p4/1 + p3.
Answers
Answer: Option E is the correct answer; (1 + p⁴) / (1 + p³)
Step-by-step explanation:
P (3 head) = P(first and 3 heads) + P(second coin and 3 heads)
= (1/2)×1³ + (1/2)× p³ = (1/2) × (1 + p³)
therefore P(first coin given 3 heads) = (1/2)×1³/ ((1/2)×(1 + p³))
= 1 / (1 + p³)
Also P( second coin given 3 heads) = p³ /(1 + p³)
therefore P(4th toss in heads given first 3 are heads) will be;
= P(first and 4th toss heads) + P(second and 4th toss heads)
=(1/( 1 + p³ )) × 1 + p³ / (1+p³) × p
= (1 + p⁴) / (1 + p³)
Therefore Option E is the correct answer
1. Adjacent angles are two angles in the same plane with a common
and a common
but no common interior points.
Answers
Answer:
Adjacent angles are two angles in the same plane with a common VERTEX and a common SIDE but no common interior points.
Step-by-step explanation:
Adjacent angles share a common side on the same vertes, but they do not overlap each other.
In the attached image, ∠ABD is adjacent to ∠DBC, but ∠ABC is not adjacent to any of them.
Two cards are drawn in succession from a standard 52-card deck.1. What is the probability that the first card is red and the second card is black(A) If the cards are drawn without replacement?(B) If the cards are drawn with replacement?2. Two balls are drawn in succession out of a box containing 3 red and 5 white balls. Find the probability that at least 1 ball was red, given that the first ball was(A) Replaced before the second draw(B) Not replaced before the second drawContext Header: Conditional ProbabilityContext Section:Conditional Probability is a calculation of the likelihood of an occurrence provided that another event has already occurred. Conditional probability A provided B is generally written as:P(A/B)=P(A∩B)P(B)
Answers
Answer:
52 cards:
26 red and 26 black
P(R) = probability of picking a red card
P(B) = probability of picking a black card
P(R) = P(B) = ¹/₂
If with replacement:
P(R∩B) = (¹/₂)(¹/₂) = ¹/₄
If without replacement:
P(R∩B) = (¹/₂)(²⁶/₅₁) = ¹³/₅₁
8 Balls:
3 red and 5 white
P(R) = probability of picking a red ball
P(W) = probability of picking a white ball
P(R) = ³/₈
P(W) = ⁵/₈
If with replacement:
P(R∩W) ∪ P(W∩R) = (³/₈)(⁵/₈) + (⁵/₈)(³/₈)
= ¹⁵/₆₄ + ¹⁵/₆₄
= ³⁰/₆₄
= ¹⁵/₃₂
If without replacement:
P(R∩W) ∪ P(W∩R) = (³/₈)(⁵/₇) + (⁵/₈)(³/₇)
= ¹⁵/₄₂ + ¹⁵/₄₂
= ³⁰/₄₂
= ⁵/₇
6 cm
8 cm
8 cm
12 cm
The perimeter of the polygon above is
Answers
Answer:
12 cm !!!
hope you mark me bainliest or your friend
Element X decays radioactively with a half life of 9 minutes. If there are 610grams of
Element X, how long, to the nearest tenth of a minute, would it take the element to
decay to 124 grams?
y = a(.5) t/h
Answers
A half-life of 9 minutes corresponds to a decay factor k such that
[tex]\dfrac12=e^{9k}\implies k=-\dfrac19\ln\left(\dfrac12\right)[/tex]
Then the time it takes for the substance to decay from 610 g to 124 g is time t such that
[tex]124\,\mathrm g=(610\,\mathrm g)e^{kt}[/tex]
Solve for t :
[tex]\dfrac{62}{305}=e^{kt}[/tex]
[tex]\ln\left(\dfrac{62}{305}\right)=kt[/tex]
[tex]t=\dfrac1k\ln\left(\dfrac{62}{305}\right)\approx20.686[/tex]
so it takes about 20.7 min for the 610 g sample to decay down to 124 g.
Solve Algebraically 2^3-x=565
Answers
x = 3 − log 565/ log 2 = − 6.142107057
Step-by-step explanation:
2^3-x =565
Log 2^3-x = log 565
(3-x) times log 2 = log 565
3 − x = log 565 / log 2
3 − log 565 / log 2 = x
x = 3 − log 565/ log 2 = − 6.142107057
Answer:
x = -557
Step-by-step explanation:
2^3 is 2x2x2 which equals 8. 8 - x = 565. Move the constant to the right-hand side and change its sign. -x = 565 - 8. This is 557. Now change the negative sign on the x to a positive and the positive sign on the 557 to a negative. x= -557.
can somone help me please
Answers
Answer:
The slides is 36 and the angle is 180.
Step-by-step explanation:
14.4m+15.6m+6m=36
90+30+50=180
If they ask why it is 180 because when adding all the angles it has to give you a total of 180.
Find the variable :
4t + 5.25 = 35.25
Answers
4t + 5.25 = 35.25
4t = 30
t = 30/4 or 7.5
35.25 - 5.25= 30
30/ 4 = 7.5 or 15/2
i need help on 23 !!
Answers
Answer:
Step-by-step explanation:
1/4 * 2/3 = 2 / 12 = 1/6
Find the difference
5/5 - 2/10
Answers
Answer:
0.8
Step-by-step explanation:
Answer:
8/10
Step-by-step explanation:
5/5 is equivalent to 1 whole or one.
So all your suppose to do is 1 minus 2/10 which is 8/10.
Hope that helps
↖(^ω^)↗
Please help. This is a solve for x problem!
Answers
Answer:
3/10 = x or 0.3 = x
Step-by-step explanation:
2.1 / x + 1 4/5 = 3 / 10x
1. first cross multiply and solve it normally:
3 (x + 1 4/5) = (2.1) 10x
3x + 5 2/5 = 21x
-3x -3x
5 2/5 = 18x
3/10 = x or 0.3 = x
these questions are kind annoying to solve because of the fractions, so if you can, use a calculator to solve them! its much easier!
hope this helps!
Answer:
x = 3/10 = 0.3
Step-by-step explanation:
{(2.1)/(x+1 4/5)} = 3/10x
x + 1 4/5 = x + 5/5 + 4/5 = x + 9/5
then:
(2.1)/(x+9/5) = 3/10x
10x*2.1 = 3(x+9/5)
21x = 3x+ 27/5
21x - 3x = 27/5
18x = 27/5
90x/5 = 27/5
90x = 27
x = 27/90
x = 3/10 = 0.3
help brainliest will be given 8 only
Answers
b. 26 vehicles
c. 10 vehicles
d. About 27%
Answer:
a)37
b)10
c)0 beacuse if there 11 then they would be speeding and also if it wrond try 10
d)28.571428571429%Step-by-step explanation:
ed
A running track has two straight sides with length 130 m and two semicircle
ends with radius 40 m. It takes Kat 20 seconds to jog 80 m. How long would
it take her to jog around the track 42 times? Give your answer in hours and
minutes, to the nearest minute.
40 m
130 m
Answers
Answer:
1 hour 29 minutes and 29 seconds
Step-by-step explanation:
We need to find the circumference of the two semicircles of the track (which forms a full circle of radius 40m):
pi×40×2 = 80pi
The total length of the track to be travelled would be:
(80pi+130+130) × 42 = (80pi+260) ×42
= 21 476m (Rounded to 5 s.f.)
80m/20s
1s = 80÷20
= 4m
For every 1 second, Kat travels 4m.
Total Time taken:
21 476÷4 = 5369 seconds
= 1 hour 29 minutes and 29 seconds
3x+4y=2, find 27x•81v
Answers
please help will give brianliest
Answers
Answer:
I helped
Step-by-step explanation:
you okay do can I get some points cuh
Answer:
with what?? >_>