The length c is the hypotenuse of the triangle WYZ, and the value of c is 5 units
How to determine the value of c?Considering the triangle WYZ, we make use of the following Pythagoras theorem
c² = 4² + 3²
Evaluate the exponents
c² = 16 + 9
Evaluate the sum
c² = 25
Take the positive square root of both sides
c = 5
This means that the value of c is 5 units
Read more about right triangles at:
https://brainly.com/question/2217700
#SPJ5
anyone can help me figure this out ?
Answer:
The inverse is 1/4x
Step-by-step explanation:
f(x) = 4x
y = 4x
Exchange x and y
x = 4y
Solve for y
Divide each side by 4
1/4x = 4y/4
1/4x = y
The inverse is 1/4x
Answer:
y=(1/4)*x
Step-by-step explanation:
to inverse set f(x)=4x
as y=4x
next, change places y and x
4y=x
now, solve for y
4y=x
y=(1/4)*x
Which of the following reasons can be used to justify statement #4 in the proof?
A SAS
B the transitive property
C the reflexive property
D CPCTC
Answer:
D.
Step-by-step explanation:
CPCTC which stands for "corresponding parts of congruent triangles are congruent". Since ΔMQN and ΔPQN have already been proved congruent, So every angle and sides of these two triangle corresponding with each other would be congruent.
Find the solution of this system of equations.
Separate the x- and y-values with a comma.
x = -9 + y
-6x + 11y = 19
Answer:
Brainliest here!
Step-by-step explanation:
Solve using a online calculator
(-16,-7)
Answer:
x= -16, y= -7
Step-by-step explanation:
x= -9+y
-6x+11y= 19
---------
-6(-9+y)+11y=19
54-6y+11y=19
54+5y=19
5y= 19-54
5y= - 35
y= -35/5
y= -7
x= -9+(-7)= -16
PLS HELP ME WITH THIS
Answer:
so the answer is the second one. Hope this working helps
For what values of m does the graph of y = mx?- 5x-2 have no
5x - 2 have no x-intercepts?
Answer:
no
Step-by-step explanation:
It does.
5x-2=0
5x=2
x=2/5
(2/5, 0)
is an x-intercept
Answer:
m<-25/
Step-by-step explanation:
simplify −3x^3(−2x^2+4x−3)
Answer:
Step-by-step explanation:
6x^5 - 12x^4 + 9x^3
(-3x^3*(-2x^2) - 3x^3(4x) - 3x^3(-3)
what is the coefficient in the expression
3(m*)4+5
1.£500 is deposited in a bank paying 2% compound interest per annum. What is the balance after 2 years?
2.£400 is deposited in a bank paying 1.75% compound interest per annum. What is the balance after 2 years?
3.£800 is deposited in a bank paying 7% compound interest per annum. What is the balance after 2 years?
4.£700 is deposited in a bank paying 4.75% compound interest per annum. What is the balance after 6 years?
5.£4600 is deposited in a bank paying 3.75% compound interest per annum. What is the balance after 5 years?
6.£6000 is deposited in a bank paying 13% compound interest per annum. What is the balance after 4 years?
7.£200 is deposited in a bank paying 0.75% compound interest per annum. What is the balance after 2 years?
8.£7100 is deposited in a bank paying 15.75% compound interest per annum. What is the balance after 13 years?
9.£6600 is deposited in a bank paying 16.75% compound interest per annum. What is the balance after 15 years?
10.£8600 is deposited in a bank paying 15% compound interest per annum. What is the balance after 17 years?
Formula for compound interest: A = P( 1 + r/n)^nt
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
^ = I used this symbol to present that a the number needs to go higher (see picture)
1. 500(1 + 2/100)^2 = 520.2
£520.20
2. 400(1 + 1.75/100)^2 = 414.12
£414.12
what is the angle that has 0 degrees called
Answer:
It is called a zero angle.
A 180 degree angle is called a straight angle.
A ninety degree angle is called a right angle.
What is the solution to the problem rounded to the correct number of significant figures?
12.77 + 0.8 = ?
A. 14
B. 13.6
C. 13.57
Answer:
B - 13.6
Step-by-step explanation:
"What is the solution to the problem rounded to the correct number of significant figures?"
When you put it in a calculator, it will pop up as 13.57. You still want to round, so the only reasonable answer that you have is B, which is 13.6.
The solution to the problem rounded to the correct number of significant figures is,
⇒ 13.6
What is Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
Since, The rules for counting significant figures in addition:
1- The result should contain the decimal points as the fewest one of the added numbers.
12.77 has two decimals and 0.8 has 1 decimal,
so the result should contain 1 decimal.
The result of (12.77 + 0.8) is,
⇒ 13.57.
2- Now, we should minimize the result to contain 1 decimal, so we round the number beside the first decimal (7).
It is higher than 5, so increase the first decimal by 1.
So, the final result is 13.6.
Thus, The solution to the problem rounded to the correct number of significant figures is,
⇒ 13.6
Learn more about the addition visit:
https://brainly.com/question/25421984
#SPJ7
A square has a side length of 3 inches. What is the length of the diagonal distance across the square ?
Answer:
4.243
Step-by-step explanation:
To calculate the diagonal of a square, multiply the length of the side by the square root of 2:
d = a√2
d = 3√2=4.24264068
Determine the mean of the following set of numbers: 40, 61, 95, 79, 9, 50, 80, 63, 109, 42
Round to the nearest tenth place. The mean is
Step-by-step explanation:
work is shown and pictured
Can anybody help with this one?
Answer: (-2,2)
see below
Step-by-step explanation:
How many seconds are in one day?
Answer:
86,400
Step-by-step explanation:
there are 60 seconds in a minute, there are 1440 minutes in a day. 1440×60= 86,400
// have a great day //
Alvin and Simon shared £540 in the ratio 4:5
Alvin gave half of his share to Theo.
Simon gave a tenth of his share to Theo.
What fraction of the £540 did Theo receive?
Answer:
5/18
Step-by-step explanation:
540/9=60
60x4=240(Alvin's money)
60x5=300(simon's money)
Alvin gives half so you divide 240 by 2 which is 120
Simon gives a tenth so you divide 300 by ten which is 30
120+30=150
150/540=5/18 ( simpliest form)
Theo have 5/18 fraction of total amount of money.
Given that, Alvin and Simon shared £540 in the ratio 4:5.
What is ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Now, 4+5=9
So, share of Alvin = 4/9 × 540
= 4 × 60
= £240
Then Simon share = 540-240 = £300
Theo's share = 1/2 × 240
=£120
Theo's share 1/10 of 300
=1/10 × 300
=£30
Total Theo's share = 120+30 =£150
Now, fraction = 150/540
=5/18
Therefore, Theo have 5/18 fraction of total amount of money.
To learn more about the ratio visit:
https://brainly.com/question/13419413.
#SPJ5
PLease answer as soon as possible
Answer:
No
Step-by-step explanation:
Every x value in the domain should only have 1 y value. In the graph, for x=5 (the input) there are 2 y values (6 and -6) so this is not a function.
Answer:
no
Step-by-step explanation:
it fails the vertical line test. there is more than 1 y value per x value
a builder has to fix 3 Walls that have fallen down.He needs 2kg of cement for each wall.How much will he need altogether in kilograms
Answer: 6 kilograms
Step-by-step explanation:
3 walls * 2 kilograms each = 6 kilograms in total
ANYONE, PLEASE ANSWER ALL THESE QUESTIONS AND I WILL MARK HIM/HER BRAINLIEST + 57 PTS.
1. A bag contains 15 balls of which 6 are red, the probability of getting a red ball at random from the bag is
A. 9/15:
B. 6/15:
C. 15/9:
D. 15/6:
2. In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green?
A. 8/21:
B. 2/7:
C. 1/3:
D. 2/3:
3. One card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is a face card (Jack, Queen and King only)?
A. 1/13:
B. 1/4:
C. 9/52:
D. 3/13:
Descriptive Type Questions
4. What is the probability from two throws of a dice:
(a) For getting a sum 9 (b) For the total score is a prime number:
5. Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?:
Answer:
1.B
2.C
3.D
4.
a)1/9
b)5/12
5.2/5
Step-by-step explanation:
1.
Since there are 15 total outcomes of which 6 are desirable, the probability of randomly getting a red ball is 5/16 or choice B.
2.
Since there are a total of 8+7+6=21 outcomes, out of which 7 are neither red nor green, there is a 7/21=1/3 probability of that outcome, or answer choice C.
3.
Out of the 52 possible outcomes, 12 are face cards. Therefore, the probability of drawing a face card is 12/52=3/13, or answer choice D.
4.
a)
For each die, there are a total of 6 possible outcomes. This means that in total there are 6*6=36 possible combinations. Now, let's do some casework.
If the first die is a 3, then the second die must be a 6. If the first die is a 4, the second die must be a 5. If the first die is a 5, then the second die must be a 4. And if the first die is a 6, then the second die must be a 3. You cannot have any numbers less than 3, because then you would not be able to make the number 9. Therefore, there is a 4/36=1/9 chance of getting a sum of 9.
b)
All of the possible prime numbers that can be formed with the dice are 2, 3, 5, 7, and 11. For 2, there is only one possible situation where this can happen. For 3, there are 2 possible. For 5, there is 4-1, 3-2, 2-3, and 1-4, or 4 possibilities. For 7, there is 1-6, 2-5, 3-4, 4-3, 5-2, and 6-1, or 6 total possibilities. Finally, for 11, there is only 5-6 and 6-5, or 2 possible. In total, the probability of getting a prime sum is 15/36=5/12.
5.
The only numbers which are a multiple of 3 or 5 from 1 to 20 are: 3, 5, 9, 10, 12, 15, 18, and 20. This means that out of the 20 total possible options, 8 of them are a multiple of 3 or 5, which is a total chance of 2/5.
Hope this helps!
Solve the equation.
-9x + 1 = -x + 17
Answer:
The value of [tex]x[/tex]:
[tex]x = -2[/tex]
Step-by-step explanation:
Find the value of [tex]x[/tex]:
[tex]-9x + 1 = -x + 17[/tex]
-Add both sides by [tex]x[/tex]:
[tex]-9x + 1 + x = -x + x + 17[/tex]
[tex]-8x + 1 = 17[/tex]
-Subtract both sides by [tex]1[/tex]:
[tex]-8x + 1 - 1 = 17 - 1[/tex]
[tex]-8x = 16[/tex]
Divide both sides by [tex]-8[/tex]:
[tex]\frac{-8x}{-8} = \frac{16}{-8}[/tex]
[tex]x = -2[/tex]
So, the final answer would be [tex]x = -2[/tex] .
Answer:
x=−2
Step-by-step explanation:
−9x+1=−x+17
Add x to both sides.
−9x+1+x=−x+17+x
−8x+1=17
Subtract 1 from both sides.
−8x+1−1=17−1
−8x=16
Divide both sides by -8.
−8x/-8 = 16/-8
Answer:
x=−2
Please help! Correct answer only, please! The answer isn't C. Determine the value of the following if it is possible. If it is not possible, explain. A. B. C. D.
Answer:
| -6 0 |
| 12 21 |
Step-by-step explanation:
When we multiply a matrix by a scalar, each term in the matrix is multiplied by the scalar
3 | -2 0 |
| 4 7 |
becomes
| -6 0 |
| 12 21 |
Answer:
Solution : C
Step-by-step explanation:
This question involves scalar multiplication. Multiply each of the matrix elements by a scalar, in this case 3.
[tex]3\begin{bmatrix}-2&0\\ \:4&-7\end{bmatrix} = \begin{bmatrix}3\left(-2\right)&3\cdot \:0\\ 3\cdot \:4&3\left(-7\right)\end{bmatrix}[/tex]
Simplifying each element, we receive the following matrix,
[tex]\begin{bmatrix}-6&0\\ 12&-21\end{bmatrix}[/tex] - And hence our solution is option c
Which of the following fractions is not equivalent to 2?
3
6
0 10
IN
4.
Answer they are all equivalent
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
[tex]\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \alpha[/tex]
please help, i am not good at maths, brainiest will be given
Answer:
Modal average is the number that appears the most
Modal average: 3
1+2+3+4+5=15
15/3= Mean: 3
Step-by-step explanation:
add all the bedrooms and divide that sum by the number of numbers added. That's the mean.
Hope this helps.
A) 4 is the mode of the table
B)
1+2+3+4+5=15
15/5=3
, 8 technicians can test 560 samples in 36 hours. How long
(in days) can 15 technicians'test 525 samples?
Answer:
0.75 days (im a bit unsure but i tried my best, hope this helps :) )
Step-by-step explanation:
If it takes 8 technicians 36 hours to test 560 samples, find how many technicians can test 525 samples.
8: 560
x: 525
x= 7.5 (which is considered 7)
Then, find how long it takes to sample 525 samples, when 560 are done in 36 hours;
560: 36
525: x
x= 33.75 (which is considered 34 hours)
The last step is to check how long 15 technicians take to sample 525 samples when 8 can do the same number in 34 hours. this is inverse proportion so dont forget to flip one numerator and denominator
8; 34
15; x
it will become
15:34
8: x
x= 18 hours
Divide by 24 for days hence 0.75 days
HELP MARK AS BRAINLIST
Answer:
12 square units
Step-by-step explanation:
formula= a+b/2×h
a=2
b=6
h=3
the answer will be = 2+6/2×3
=8/2×3
=4×3
=12
Answer:
17 square units i think
The roots of a certain quadratic equation is 1 and 2/3. Determine the equation
Answer:3x^2-5x+2=0
Step-by-step explanation:
Format of a quadratic equation= ax^2 +bx+c
Let x=1 and 2/3
When x=1
x-1=0.......(1)
When x=2/3
x-2/3=0.........(2)
Compare the equations
(x-1)(x-2/3)=0
x^2-2/3x-x+2/3=0
x^2-5/3x+2/3=0
Multiply all terms by 3
3x^2-5x+2=0
Tim has to cover 3 tanks completley with paint.
answer:
Total surface area of 3 tanks=34.3 m^27 tins of paint are required.Solution,
diameter of tank=1.4 m
Height of tank=1.9 m
Given tank has top and bottom
Now, The total surface area of cylinder tank is given by:
[tex]tsa = 2\pi \: {r}^{2} + (2\pi \: r \: ) \times h[/tex]
r( radius of tank)=
[tex] \frac{diameter}{2} = \frac{1.4}{2} = 0.7 \: m[/tex]
h(height of tank)=1.9 m
TSA of 1 tank
=
[tex]2 \times 3.14 \times {(0.7)}^{2} + 2 \times 3.14 \times 0.7 \times 1.9 \\ = 11.435 \: {m}^{2} [/tex]
TSA Of 3 tanks
=
[tex]3 \times 11.435 \: {m}^{2} \\ = 34.3 \: {m}^{2} [/tex]
Given a tin of plate covers 5m^2 area.
No.of tins required:
1 tin 5m^2
x tin 34.3 m^2
[tex]5x = 34.3(cross \: multiplication) \\ or \: x = \frac{34.3}{5} \\ x = 6.86 \\ x = 7 \: tins[/tex]
therefore 7 tins are required.
Hope this helps...
Good luck on your assignment....
Graph the equation to solve the system y=x-5 y=x+6
Answer:
the equations have no solutions
(i.e the graphs are parallel and does not intersect each other)
Step-by-step explanation:
if we graph the 2 equations, we can see that they are parallel and do not intersect, hence there is no solution to the given system of equations.
please help me
consult the image above
Answer:
if we assume that
tan = opp/adj
then we can find the hypotenus by using phytagoras law
h² = o² + a²
h² = (m-1)² + (2√m)²
h² = m² - 2m + 1 + 4m
h² = m² + 2m + 1
then we factorized become
h² = (m + 1)²
h = m+1
so for sin x = opp/hyp = (m-1)/(m+1)
hope this can help you.
plz work out how you got the answer Jenny goes to dance class every 6 days, karate class every 12 days, and to the library every 18 days. On December 1st she went to both classes and the library. In how many days will she do both classes and go to the library? *
Answer:
36
Step-by-step explanation:
if im wrong im sorry u add all of them up
The table represents a linear function.What is the slope of the function?
The graph is X, -2,-1,0,1,2 and Y, -2,1,4,7,10
Answer:
the slope is 4/3
Step-by-step explanation:
use the formula:
m=[tex]\frac{y1-y2}{x1-x2}[/tex]
where x1 and y1 can be any point and x2 and y2 can be any point.
I used the last relation as my x1,y1 and second last relation as my x2,y2 because it is easier to subtract them.
[tex]\frac{10-2}{7-1}[/tex] which is 8/6 or 4/3
Answer:
3
Step-by-step explanation:
I took the test.