Answer:
[tex]m=12\,,n=7[/tex]
Step-by-step explanation:
The magnitude of vector [tex](x,y)[/tex] is given by [tex]\sqrt{x^2+y^2}[/tex]
The magnitude of vector [tex]a=(5,m)[/tex] is [tex]13[/tex].
[tex]\sqrt{5^2+m^2}=13\\5^2+m^2=13^2\\25+m^2=169\\m^2=169-25\\m^2=144\\m=12[/tex]
The magnitude of vector [tex]b=(n,24)[/tex] is [tex]25[/tex].
[tex]\sqrt{n^2+24^2}=25\\n^2+24^2=25^2\\n^2+576=625\\n^2=625-576\\n^2=49\\n=7[/tex]
Therefore,
[tex]m=12\,,n=7[/tex]
Does anyone know? Thank you!
Answer:
4/3
if you put all of the fractions in decimal form 4/3 is the most because it equals 1.25
It cost $730 to put on a school play . How many tickets must be sold at $6 a piece in order to make a profit
Answer:
122
Step-by-step explanation:
if you do 730 divided by 6 the answer is 121.6666667 so you round it up to 122
What is the distance between the points (7, 8) and (-8, 0) on a coordinate grid?
Answer:
17 units
Step-by-step explanation:
Moving from (-8, 0) to (7, 8), we see x changing by 15 units from -8 to 7 and y changing by 8 units from 0 to 8.
Regard 15 units as the horizontal leg of a right triangle and 8 units as the vertical leg. We use the Pythagorean Theorem to determine the length of the hypotenuse of this right triangle and interpret the result as the distance between the points:
d = √(15² + 8²) = √289 = 17
The distance between the given points is 17 units.
Factorise the exprssions
x^2-ax-bx+ab
[tex](x - a)(x - b)[/tex]
Step-By-Step Explanations:
1) Factor out the common term in the first two terms, then in the last two terms.
[tex]x(x - a) - b(x - a)[/tex]
2) Factor out the common term x - a.
[tex](x - a)(x - b)[/tex]
Therefor, the answer is ( x - a ) ( x - b ).
The speed of a space station in orbit is about 1300 meters per second.How many kilometers per hour does the space station travel? (20 points)
Answer:
92 minutes
Step-by-step explanation:
"Roughly" 17,150 miles per hour
(which is about 5 minutes per second)
this means that the space station orbits Earth once every 92 minutes.
hoped that helps you and God bless
what is a reasonable estimate of the probability that the next tucker family vacation lasts less than 3 days?
Answer:
i cant estimate it but i think 4
csc(x) = 2
solve this
Answer:
mathpapa.com
Step-by-step explanation:
solve 3(2x + 1) in standard form
Answer:
3(2x+1)= 6x+3
Step-by-step explanation:
Since all you do is multiply 3 and 2x and 3 and 1 which is 6x+3
Write the equation of the circle with a center at (11,6) and a radius of 6.
Answer:
(x-11)^2 + (y-6)^2= 6^2
Step-by-step explanation:
Answer:
(x - 11)² + (y - 6)² = 36
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k ) = (11, 6 ) and r = 6, then
(x - 11)² + (y - 6)² = 6² , that is
(x - 11)² + (y - 6)² = 36
A number is selected, at random, from the set 1, 2, 3, 4, 5, 6, 7, 8. Find: p(odd)
25%
50%
100%
Answer:
50%
Step-by-step explanation:
Half of the numbers in the sequence are odd, so there's a 50% to have gotten an odd number randomly. Therefore, P = 50%
In the figure, all lines intersect at point W.
What is the value of n?
Please help quick
Answer:
n = 15
Step-by-step explanation:
A straight line equals 180 degrees
Angle SWT is congruent to angle XWV meaning:
SWT (55 degrees) = XWV (55 degrees)
Set up an equation:
3n + 80 + 55 = 180
Combine like terms
3n + 135 = 180
Subtract both sides by 135 to isolate variable n
3n = 45
Divide both sides by 3 to isolate variable n
n = 15
Two sides of a right triangle measure 222 units and 444 units. What is the area of the square that shares a side with the third side of the triangle?
Answer:
the area of the square = x² = 147,852 ft²
Step-by-step explanation:
Given;
two sides of a right triangle, = 222 units and 444 units
let the third side of the right triangle that shares a side with a square = x
the third side is obtained by applying Pythagoras theorem, and assuming the third side to be either adjacent or opposite side.
x² = 444² - 222²
x² = 147,852
x = √147,852
x = 384.52 ft
Therefore, the area of the square = x² = 147,852 ft²
Answer:
20 = x^2
Step-by-step explanation:
to find c^2 you need to do:
a^2 + b^2 = c^2
so- 2x2 + 4x4 = 4+16= 20
20 = x^2 and since x is squared you do not find the square root
How do you write 3x to the -5 power using only positive exponents?
10) 3x + x + x + x - 3 - 2 = 7 + x + x
In the equation above, what is the value of x?
Answer:
Step-by-step explanation:
x=3
Your school raised 125% of its fundraising goal.The School raised $4500.What was the goal?
Answer:
3600
Step-by-step explanation:
125%=4500
5*25%=4500
25%=900
125%-25%=100%
4500-900=3600
2(x + 10) = 26
Solve for x
Answer:
3
Step-by-step explanation:
Julio had 20 minutes to do a three-problem quiz. He spent 11 1 4 minutes on question A and 5 4 5 minutes on question B. How much time did he have left for question C?
Answer:
2 19/20 minutes
Step-by-step explanation:
Julio had 20 minutes to do a three-problem quiz. He spent 11 1 /4 minutes on question A and 5 4 /5 minutes on question B. How much time did he have left for question C?
The total number of minutes =
Number of minutes spent doing question (A + B + C)
Hence,
Hence, the number of minutes he had left for Question C is calculated as:
20 minutes - ( 11 1/4 + 5 4/5) minutes
20 minutes - ( 11 + 5 ( 1/4 + 4/5))
Lowest common denominator = 20
20 minutes - ( 16 + ( 5 + 16/20)
20 minutes - ( 16 + 21/20) minutes
20 minutes - (16 + 1 1/20) minutes
20 minutes - 17 1/20 minutes
= 2 19/20 minutes
Therefore he had 2 19/20 minutes left for Question C
Answer this question to get marked as brainliest!!!
Find the modes of this data set.
Answer:
1, 2
Step-by-step explanation:
the mode is the ones that appear the most in a data set, so since 1 and 2 appear 4 times each, they are the two modes.
Which value for p makes the expressions 9p−5 and (3+p)5 equivalent?
a.7
b.6
C.5
D.4
Answer:
5
Step-by-step explanation:
9p-5
9(5)-5
45-5
40
(3+p)5
(3+5)5
(8)5
40
Write an equation for the line that is perpendicular to Y=-3/7x+4 and passes through (-4,-5)
9514 1404 393
Answer:
y = 7/3x +13/3
Step-by-step explanation:
The equation of the given line is in slope-intercept form (y=mx+b), so we can see the slope (m) is -3/7. The slope of the perpendicular line is the opposite reciprocal of this, so is ...
m = -1/(-3/7) = 7/3
The y-intercept of the perpendicular line can be found from ...
b = y -mx
b = -5 -(7/3)(-4) = -15/3 +28/3 = 13/3
Then the slope-intercept equation of the perpendicular line is ...
y = mx +b
y = 7/3x +13/3
_____
Additional comment
You can get there a little faster using the point-slope form of the equation of a line. For slope m and point (h, k) that form is ...
y -k = m(x -h)
For our perpendicular line, the equation is ...
y +5 = 7/3(x +4)
please help !! What is the area of the trapezoid shown below?
4
5
Answer:
the area of the trapezoid is (8 + 4).3/2 = 18
Answer:
18
Step-by-step explanation:
khan
How would I right subtract 1.9 from the product of 7.4 and 3
Answer:
24.1
Step-by-step explanation:
7.4x3=22.2
22.2+1.9=24.1
Alright fam, help me out here with these angles thanks!
Answer:
m∠3 = 127°
Step-by-step explanation:
From the given picture,
Two parallel lines have been given.
Angle 3 and another angle measuring 53° are located on a point of a straight line.
Therefore, both the angles will be supplementary.
m(∠3) + 53° = 180° [Property of supplementary angles]
m(∠3) = 180° - 53°
= 127°
trigonometry please help! work need to be shown
Answer:
x = 5.56
Step-by-step explanation:
Apply trigonometric function to find x
Reference angle = 46°
Hypotenuse = 8
Adjacent length = x
Apply CAH:
Cos 46 = Adj/Hyp
Cos 46 = x/8
8 × Cos 46 = x
5.55726696 = x
x = 5.56 (nearest hundredth)
Question 2 of 10
If data set A has a larger standard deviation than data set B, data set A is
more spread out than data set B.
A. True
B. False
SUB
It is true that if data set A has a larger standard deviation than data set B, data set A is more spread out than data set B.
How to determine the true statement?The standard deviation is a measure of spread.
And the more the standard deviation, the more the spread
This means that if the dataset A has a larger standard deviation than the dataset B, then the dataset A is more spread out than B
Hence, the given statement is true
Read more about standard deviation at:
https://brainly.com/question/15858152
#SPJ1
If 2x – 7y = 10 is a true equation, what would be the value of 2 + 2x – 7y?
Answer:
I believe that would be 12 because
Step-by-step explanation:
if 2x - 7y = 10
then if you were to add two to that it would be 12
Mr. Ford Invested $12,450 in a bank at 7.25% per annum simple interest for 6 years. calculate the interest he was paid
Answer:
If my calculations are correct, $5415.75 of interest was paid throughout 6 years.
Step-by-step explanation:
7.25% of 12,450 is 902.625.
If the interest being paid was the 7.25% of 12,450 throughout the 6 years then the answer is 902.625 x 6 ( the amount of years ) = $5415.75.
In other cases such as 7.25% of the new number of invested money after the loss of 902.625 then this answer is wrong, but I solved as I understood.
Hope this helps.
the sum of the age of a boy and his sister is 32 years. The boy is 6 years older than his sister. How old is his sister?
Answer:
26 is the correct answer
Answer:
His sister is 10?
Step-by-step explanation:
Because if he's 16 then she's 10
factorise p-q-x(q-p)
Answer:
(1 + x)(p - q)
Step-by-step explanation:
Given
p - q - x(q - p) ← distribute parenthesis by - x
= p - q - qx + px ← rearrange terms in p and terms in q
= p + px - q - qx ( factor first/second terms and third/fourth terms )
= p(1 + x) - q(1 + x) ← factor out (1 + x) from each term
= (1 + x)(p - q)
