Answer:
8/5
Step-by-step explanation:
Since the angle passes through 8,5. The horizontal side length is 8. The vertical length is 5 so now we must find the hypotenuse or radius side. Using the pythagorean theorem, that can be accomplished.
[tex] {x}^{2} + {y}^{2} = {r}^{2} [/tex]
[tex] {8}^{2} + {5}^{2} = {r}^{2} [/tex]
[tex]64 + 25 = {r}^{2} [/tex]
[tex] \sqrt{89} [/tex]
So know me gonna to find our trig functions. Cot or cotangent is x/y so we plug that as x=8, y=5.
[tex] \frac{8}{5} [/tex]
so the answer. is 8/5
AB = 6cm , AC = 12cm. Calculate the length of CD
Give your answers to 3 significant figures
Answer:
6cm , 12cm
Step-by-step explanation:
write the equation 6x-3y=9 in slope-intercept form. Then graph the line described by the equation .
Answer:
check book
Step-by-step explanation:
ok apply formula only
Please help me with this
Answer:
True
Step-by-step explanation:
Cuz if u substitute (3,-3/2) it would work
Y = 1/2x - 3
-3/2 = 1/2(3)-3
-3/2 = 1.5 - 3
-3/2 = -1.5
& -3/2 is -1.5 as a decimal lol
can someone please help me answer this !!
Answer:
Step-by-step explanation:
The 25 students in Mr. Martinez’s class vote on their favorite farm animal. 40% like pigs. How many students like pigs?
Answer:
10
Step-by-step explanation:
solve for N
what's the rule
Answer:
n = 8
Step-by-step explanation:
The rule for this table is multiply x by 4 to get y. To solve for n, divide y (32) by 4 to get x (8).
Hope it helps!
What is the equation of a line that passes through the points 0,5 and 4,8 in slope intercept form
Answer:
y = 3/4 + b
Step-by-step explanation:
To get slope intercept form you need to have the y = then you need to find the slope which is y2 - y1 and x2 - x1, find the answer whether it be a fraction or a whole number. And since you don't know the y-intercept you mark the last integer as b, since you don't the answer. So it comes out to y = 3/4 + b
y = (3/4)x + 5
Using the two coordinates, you can find slope and y-intercept
y-intercept is 5, from the point (0,5)
slope is 3/4, from rise/run, and that 0 to 4 is 4, while 5 to 8 is 3.
Combine slope and y-intercept for slope intercept form
y = (3/4)x + 5
POSSIBLE POINTS: 33.33
Tyler can complete his Algebra Il project in 2.5 hours, but if he works with Luke they can finish in 1.5 hours. How long would it take Luke to finish the
project on his own?
What is the slope of the line that passes through the points (-2, -3), and (5, 4)?
3
-1
1
-3
Answer:
Option 3: One
Step-by-step explanation:
Slope is y2-y1 over x2-x1
4-(-3)= 7
5-(-2)= 7
7/7 = 1
4. Jim and Kirk are playing a card game where they trade chips. At the beginning of the game, Jim has four times as many chips as Kirk does. After Kirk wins the game, Jim gives Kirk 18 of his chips, at which point they now have the same number of chips. How many did Kirk have to begin with?
(a) If j represents the original number of chips Jim had and k represents the original number of chips that Kirk had, then write an equation that models the amount of chips they originally had. Explain your equation.
(b) The equation j k − = + 18 18models the scenario after Kirk wins the game. Explain why.
(c) Determine how many chips both Kirk and Jim started with.
Answer:
(a) [tex]j = 4k[/tex]
(b) [tex]4k - 18 = 18 + k[/tex]
(c) Jim initially had 48; Kirk initially had 12
Step-by-step explanation:
Given
[tex]j = Jim[/tex]
[tex]k=Krik[/tex]
Solving (a): An equation for the amount they originally had.
From the question, we understand that j is 4 times as many as k.
Mathematically, this is:
[tex]j = 4 * k[/tex]
[tex]j = 4k[/tex]
Solving (b): Equation after Kirk wins
Initially Kirk had k.
To get the new expression, we add 18 to k.
This gives: 18 + k
In the same vein, Jim's number of chirps will reduce by 18.
Initially, Jim had j chirps (or 4k chirps)
To get the new expression, we subtract 18 from j.
This gives: j - 18
So, the equation is:
[tex]j - 18 = 18 +k[/tex]
Solving (c): Number of chirps they started with.
In (b), we have:
[tex]j - 18 = 18 +k[/tex]
Substitute 4k for j
[tex]4k - 18 = 18 + k[/tex]
Collect Like Terms
[tex]4k - k = 18 + 18[/tex]
[tex]3k = 36[/tex]
Divide both sides by 3
[tex]k =12[/tex]
Substitute 12 for k in [tex]j = 4k[/tex]
[tex]j = 4 * 12[/tex]
[tex]j = 48[/tex]
2.5= -2B+6 Pls help me
Answer:
B=1.75
Step-by-step explanation:
2. Determine the value of each variable for parallelogram INDY has diagonals that intersec at P.1P=3x DP = 6x - 2 NP = 3y and YP=7x-2,
Answer:
x = 2/3 and y = 8/9
Step-by-step explanation:
If a parallelogram INDY has diagonals that intersects at P, then O bisects ID and YN
Hence IP = PD and NP = YP
Given
IP=3x
DP = 6x - 2
NP = 3y and
YP=7x-2,
Substitute
3x = 6x-2
3x-6x = -2
-3x = -2
x = 2/3
x = 0.67
Also NP = YP
3y = 7x-2
3y = 7(2/3) - 2
3y = 14/3 - 2
3y = 14-6/3
3y = 8/3
9y = 8
y = 8/9
Hence x = 2/3 and y = 8/9
help me please-1 = (5 + x)/6
Answer:
x= -11 I hope this helps!
Step-by-step explanation:
Answer:
x=-11
Step-by-step explanation:
/=division
*=multiplication
-1=(5+x)/6
-1*6=(5+x)/6*6
-6-5=5+x-5
-11=x
Sam is younger than Jeff. Jeff is 5yers old. How old could Sam be? Enter an enteger
Answer:
any number between 0-4 so lets say 3
Step-by-step explanation:
An integer is a whole number that can be positive, negative, or zero however they can not be fractions or decimals
True or false, The triangles shown below must be congruent.
what is the measure of
Answer:
The measure or what?
Step-by-step explanation:
Answer:
we need a measure
Step-by-step explanation:
what is the minimum value of the parabola y = x^2 + 10 ?
Item 25
Thompson Family Assets and Liabilities
Assets Value Liabilities Value
Checking and Savings $1,520 Auto Loan $5,238
Automobile $9,250 Credit Cards $580
House Value $112,340 Mortgage $78,570
Furniture,etc. $12,800 Other Loans $13,780
What are the Thompson family's total assets?
$13,345
$135,910
$140,291
$145,782
Answer:
135,910
Step-by-step explanation:
Add all assets together and you will get this answer.
1. What is the distance between Point A(-2,3) and Point B (-2,8).
Answer:
5
Step-by-step explanation:
Question 13
Find the angle between the given vectors to the nearest tenth of a
degree.
u= <8,4, v = <9.-9> (5 points)
Answer:
71.6 degrees
Step-by-step explanation:
Given the vectors
u= <8,4> v = <9.-9> (5 points)
u*v = (8, 4)*(9, -9)
u*v = 8(9)+(4)(-9)
u*v = 72 - 36
u*v = 36
|u| = √8²+4²
|u| = √64+16
|u| = √80
|v| = √9²+9²
|v| = √81+81
|v| = √162
Using the formula
u*v = ||u||v| cos theta
36 = √80(√162)cos theta
36 = √12960 cos theta
cos theta = 36/√12960
cos theta = 36/113.8
cos theta = 0.3162
theta = arccos(0.3162)
theta = 71.56 degrees
Hence the angle between the given vectors to the nearest tenth of a
degree is 71.6 degrees
3. The average of two numbers is 55. If their positive difference is 64, then determine the two numbers algebraically.
Answer:
the numbers are 41 and 23
Step-by-step explanation:
Given data
let the numbers be x and y
x+y/2= 55
cross multiply
x+y= 110----------1
positive difference is 64
x-y= 64-----------2
solve 1 and 2
x+y= 110
x-y= 64
from 1
x= 110-y
put the value of x in 2
110-y-y=64
110-2y=64
110-64=2y
46=2y
y= 46/2
y=23
put y= 23 in 2
x-23= 64
x= 64-23
x=41
PRACTISE NOW 11
Ex
15
Mr Lee drove from City P to City Q, which are 600 km apart. During his return journey,
his average speed was increased by 7 km/h and the time taken was 15 minutes less.
() If he drove at an average speed of x km/h on his journey from City P to City Q,
formulate an equation in x and show that it reduces to x2 + 7x – 16 800 = 0.
(ii
) Solve the equation x² + 7x - 16 800 = 0, giving both your answers correct to
2 decimal places.
(iii) Find the time taken for the return journey.
Answer:
i. x² + 7x - 16800 = 0 ii. x = 126.16 km/h or -133.16 km/h iii. 5.01 h
Step-by-step explanation:
i. If he drove at an average speed of x km/h on his journey from City P to City Q formulate an equation in x and show that it reduces to x2 + 7x – 16 800 = 0.
For the first journey from City P to City Q, with Mr Lee moving at an average speed of x km/h, he reaches there in time, t and covers the distance, d = 600 km
So, xt = 600 (1)
On his return journey from City Q to CIty P, his average speed increases by 7 km/h, so it is (x + 7)km/h and his time is 15 minutes less than his first journey. 15 min = 15/60 h = 0.25 h, we have that his time for the journey is (t - 0.25) h. Since the distance covered is the same d = 600 km,
We have (x + 7)(t - 0.25) = 600 (2)
Expanding the brackets, we have
xt - 0.25x + 7t - 0.25(7) = 600
xt - 0.25x + 7t - 1.75 = 600
From (1) t = 600/x and xt = 600
Substituting these into the equation, we have
600 - 0.25x + 7(600/x) - 1.75 = 600
simplifying
-0.25x + 4200/x - 1.75 = 600 - 600
-0.25x + 4200/x - 1.75 = 0
multiplying through by x, we have
-0.25x² + 4200 - 1.75x = 0
dividing through by -0.25, we have
-0.25x²/-0.25 + 4200/-0.25 - 1.75x/-0.25 = 0
x² - 16800 + 7x = 0
re-arranging, we have
x² + 7x - 16800 = 0
ii. Solve the equation x² + 7x - 16 800 = 0, giving both your answers correct to 2 decimal places.
Using the quadratic formula, we solve x² + 7x - 16800 = 0 for x
So, [tex]x = \frac{-7 +/-\sqrt{7^{2} - 4 X 1 X -16800} }{2 X 1}\\x = \frac{-7 +/-\sqrt{49 + 67200} }{2} \\x = \frac{-7 +/-\sqrt{67249} }{2} \\x = \frac{-7 +/- 259.32}{2} \\x = \frac{-7 + 259.32}{2} or x = \frac{-7 - 259.32}{2} \\x = 252.32/2 or x= -266.32/2\\x = 126.16 km/hor x = -133.16 km/h[/tex]
So, x = 126.16 km/h or -133.16 km/h
iii. Find the time taken for the return journey
The time taken for the return journey is t' = t + 0.25. Now. t = 600/x
Since x cannot be negative, we use x = 126.16 km/h.
So, t = 600/x = 600/126.16 = 4.76 h
t' = t + 0.25
t' = 4.76 + 0.25
t' = 5.01 h
The magnitude and direction of two vectors are shown in the diagram. What is the magnitude of their sum?
Answer:
2√5
Step-by-step explanation:
Using the formula for calculating resultant
R = √Fx + Fy
\sum Fx = -2sin 45 + 4 cos 45
\sum Fx = 2cos45
\sum Fx = 2(1/√2)
\sum Fx = 2/√2
Similarly;
\sum Fy = 2 cos 45 + 4 sin45
\sum Fx = 2(1/√2) + 4(1/√2)
\sum Fx = 6/√2
Magnitude = √(2/√2)²+6/√2)²
Magnitude = √4/2 + 36/2
Magnitude = √2+18
Magnitude = √20
Magnitude = 2√5
Hence the magnitude of their sum is 2√5
Answer:
2√5
Step-by-step explanation:
PLEASE HELP ME ITS DUE IN 20 MINUTES ( 30 POINTS )
An equation is different from an expression because it has...
Answer:
Because it bears an equal sign
Expressions don't have a definite solution to the problem.
Will give Branliest.
Thanks,
:)
Answer:
1) m=7
2) y=8
3)m=9
4) a=121
5) t=30
6)h=7
Noah's number is 15
S=15
evaluate 2-(-4) +(-and) where Y = 7.
Answer:
2-4=4+7=11 so that is the answer begginer
Suppose the ratio of Lev's age to Mina's age is $1 : 2$ and the ratio of Mina's age to Naomi's age is $3 : 4$. What is the ratio of Lev's age to Naomi's age? Give your answer in simplest form.
Answer:
3:8
Step-by-step explanation:
The ratio of Mina's age to Naomi's age is 3 : 4
Multiplying the above ratio by 2 = 6:8
The ratio of Lev's age to Mina's age is 1 : 2
Multiplying the above ratio by 3
= 3:6
Therefore, ratio of Lev's age to Naomi's age in simplest form.
= 3:8
Answer:
3:8
Step-by-step explanation:
Let L, M, and N stand for the three ages.
The given ratios tell us that
M = 2L
and
N = 4/3M.
Therefore,
N = 4/3 x 2L = 8/3L.
This means that Lev's and Naomi's ages are in the ratio 3:8.
Find the value of x.
.
10
7
Answer:
X = 12.21
Step-by-step explanation:
Since this is a right triangle, use the formula A^2 + B^2 = C^2 and plug in appropriate values.
(10)^2 + (7)^2 = C^2
100 + 49 = C^2
149 = C^2
12.2065 = C
Rounded to two decimal places, this makes X equal to 12.21.
The required value of x is 12.21 for the given right triangle.
What is the right triangle?A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.
Pythagoras's theorem states that in a right-angled triangle, the square of one side is equal to the sum of the squares of the other two sides.
Since this is a right triangle, use the formula A² + B² = C² and substitute appropriate values.
(10)² + (7)² = x²
100 + 49 = x²
149 = x²
x = √149
x = 12.2066
Rounded to two decimal places,
x = 12.21
Therefore, the required value of x is 12.21.
Learn more about Pythagoras's theorem here:
brainly.com/question/343682
#SPJ2
Find the side indicated by the variable. Round to the nearest tenth.
Answer:
b ≈ 25.6
Step-by-step explanation:
From the figure attached,
By applying tangent rule in the given triangle,
tan(32°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
tan(32°) = [tex]\frac{16}{b}[/tex]
b = [tex]\frac{16}{\text{tan}(32)}[/tex]
b = [tex]\frac{16}{0.62487}[/tex]
b = 25.605
b ≈ 25.6