Answer:
cosΘ = [tex]\frac{\sqrt{3} }{2}[/tex]
Step-by-step explanation:
sin²Θ + cos²Θ = 1 ( subtract sin²Θ from both sides )
cos²Θ = 1 - sin²Θ ( take square root of both sides )
cosΘ = ± [tex]\sqrt{1-sin^20}[/tex]
= ± [tex]\sqrt{1-(\frac{1}{2})^2 }[/tex]
= ± [tex]\sqrt{1-\frac{1}{4} }[/tex]
= ± [tex]\sqrt{\frac{3}{4} }[/tex]
= ± [tex]\frac{\sqrt{3} }{2}[/tex]
since 0° < Θ < 90° , then
cosΘ = [tex]\frac{\sqrt{3} }{2}[/tex]
please help me solve this
Answer:
It's 5/30 Seniors. As a fraction, it would be 16.7 % of the seniors take the bus. Hope this helps!!!!!
Answer:
5/35=1/7=0.14
Step-by-step explanation:
35 in total for Senior
5 take bus
5/35=1/7
Jacob earned a gross pay for the week of $592. If 16% was withheld for deductions, what was his net pay?
Answer:
$497.28
Step-by-step explanation:
First, you need to find 16% of 592. To do this, turn 16% into a decimal by dividing by 100:
16/100 = 0.16
Then, multiply 0.16 by 592, to get 94.72.
Then, subtract this number from 592:
592 - 94.72 = 497.28
A triangle has sides with lengths of 5 meters, 6 meters, and 8 meters. Is it a right triangle?
Answer:
No, it is not a right triangle
Step-by-step explanation:
A scalene right triangle comprised of integers must have the same ration as 5:4:3, and 5:6:8 is not it.
Which ordered pairs represent the equivalent ratios in the table? check all that apply.
(1, 2)
(1, 4)
(2, 8)
(4, 1)
(3, 12)
Answer:
(1,4) and (2,8)
Step-by-step explanation:
If you write these 2 ordered pairs as a fraction: 1/4 and 2/8 you can see that they are both equivalents.
Answer:
B, C and D
Step-by-step explanation:
Edge 2022/2023
i'll give brainliest and points to whomever answers these two questions, thank you so much in advance!
Q8- what's the S.S of the inequality: x² + 4 > 2
a) R
b) ∅
c) R-
d) R+
Q9- if x + yi = (1 + i)⁴ , then x + y = ......
a) 4
b) - 4
c) 2
d) - 2
an explanation for future reference would be GREATLY appreciated, thank you again T^T
Answer:
8 Answer is a) R
9 Answer is b) -4
Step-by-step explanation:
Answer of your Question bro and good evening and please mark me as brainliest and thank u
Write 6.51 x 10^-8 in Standard Form
Please help :) also this is the same thing question as last time but I forgot to put the little arrow
Answer:
[tex]651*10^{-8[/tex]
Step-by-step explanation:
Sure hope this helps you
Help Find the unit rate.
4,928 rooms on 112 floors =
rooms per floor
4928 rooms / 112 floors
2464 rooms / 56 floors
---Really, all we are doing here is simplifying a fraction until we have a 1 in the denominator
44 rooms / 1 floor
Hope this helps!
The side of a square is 3 cm long.
What is the length of the diagonal of the square? Give a reason for your answer.
INSTRUCTION: Round your answer to two decimal places.
Answer:
approximately 4.23 cm
A listing for a home for sale is shown as follows: "4/3/2 house for sale. Price
$140,000." What does "4/3/2" mean?
This graph shows the solutions to the inequalities y> 3x + 14 and y< 3x + 2.
Does the system of inequalities have solutions? If so, which region contains
the solutions?
A
-10 -8
10
-10
A. There is a solution, and it is shown by region B.
B. There is a solution, and it is shown by region C.
C. There is a solution, and it is shown by region A.
D. There is no solution.
B2
4
FO
C
00
The system of inequalities have no solutions, option D is correct.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Given that the graph shows the solutions to the inequalities y> 3x + 14 and y< 3x + 2.
We have to find the system of inequalities have solutions has solutions or not
As we observe the graphs y> 3x + 14 and y< 3x + 2 of these inequalities the shade of both lines are not overlapped.
So the two inequalities does not have solution
Hence, the system of inequalities have no solutions, opton D is correct.
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What is the most logical first step in solving the equation x2 + 6x +9 = 10?
A. Subtract 9 from both sides of the equation
о
B. Take the square root of both sides of the equation
C. Subtract 10 from both sides of the equation
O
D. Factor the left side of the equation
Answer:
D
Step-by-step explanation:
The logical step is to factorize the left side of the equation, which becomes:
(x + 3)² = 10Then, you can take the square root on both sides.
x + 3 = ±√10x = ±√10 - 3Not asked, but good to understand the procedure regardless.
I just need the length of the unknown side and why it makes sense
Answer:
Step-by-step explanation:
According to Pythagorean theorem, the square value of hypotenuse (the side length that sees angle measure 90) is equal to sum of square value of two legs:
let x represent the missing length
x^2 + 3^2 = 7^2
x^2 + 9 = 49 subtract 9 from both sides
x^2 = 40 find the root for both sides
x = [tex]\sqrt{40}[/tex] or 6.3 inches approximately
Hi, I need help with arithmetic sequence and I don't really know what to do.
Answer:
Step-by-step explanation:
Answer:
choice 2
Step-by-step explanation:
Arithmetic sequences arare linear. The common difference is the slope. The points given are (3,10) And (5,26).
The slope is the change of y (26-10=16) over the change of x (5-3=2); this is 16/2=8.
The equation of line in slope-intercept form whose slope is given as 8 is y=8x+b.
We may plug in a point to solve for b.
Let's plug in (3,10):
10=8(3)+b
10=24+b
10-24=b
-14=b
So the equation we are lookinlooking for is y=8x-14 which is choice 2.
What is the value of the
expression shown?
28 - 62
Answer:
-34........................
what is 4x^2 -40-120 is equivalent to
Answer:
Step-by-step explanation:
4x^2-40-120
4x^2-160
4x^2=160
x^2=40
sqrt40=6.32
James, John and Jane decided to buy a piece of land. James paid 3/5 of the total cost while John paid 3/8 of the reminder. if Jane paid 30000.what was the total cost of the piece of land?
The total cost of the piece of land for which James, John and Jane decided to buy a piece of land is 1,200,000.
What is the total cost?Total cost or the final cost is the summation of all the cost spend while buying any good or taking any service.
James, John and Jane decided to buy a piece of land. James paid 3/5 of the total cost while John paid 3/8 of the reminder. Thus, the fraction of amount paid by Jane is,
[tex]x=1-\dfrac{3}{5}-\dfrac{3}{8}\\x=\dfrac{40-24-15}{40}\\x=\dfrac{1}{40}[/tex]
The Jane paid, 30000 of total cost which is 1/40 part of it. Thus, the total cost of the piece of land is,
[tex]\dfrac{1}{40}x=30000\\x=30000\times40\\x=1200000[/tex]
Thus, the total cost of the piece of land for which James, John and Jane decided to buy a piece of land is 1,200,000.
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3x+8y=15
2x−8y=10
Solve for x
PLS HURRY ON CURRENTLY I WILL GIVE BRAINLIST
A box plot is titled Daily Reading Time and labeled Time (min). The left most point on the number line is 15 and the right most point is 55. The box is labeled 21 on the left edge and 48 on the right edge. A vertical line is drawn inside the rectangle at the point 37. The whiskers are labeled as 16 and 53
What information is provided by the box plot? (3 points)
The mean for the data
The median for the data
The number of students who provided information
The number of students who read for more than 21.5 minutes
Answer:
The right one is ........
Directions: Find the slo
(-13, 8) and (3, 12)
Answer:
slope =.25
Step-by-step explanation:
I assume this is asking to find the slope?
graph this equation and you'll see that the run is 16 and the rise is 4.
rise/run
4/16 = .25
20% of the guest at the party were children. if 15 children attended the party, how many adults attended?
Amala listed her assets and liabilities. credit card balance car (paid in full) jewelry student loan savings account stocks $850 $2,200 $125 $2,500 $1,200 $1,500 what is the total of amala’s liabilities? $850 $2,500 $3,350 $5,550
The total of amala’s liabilities will be $5,500.
What is liabilities income?Passive income is the amount you receive that comes from the remuneration of your investments in financial market products. That is, it is generated regardless of your effort.
In this case, the total will be:
Total amount of Amala’s liabilities = Credit card balance + car + student loan
So, we have:
[tex]850 + 2200 + 2500 = $5500[/tex]
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Answer:
$3,350
Step-by-step explanation:
This is because her car is paid in full it is no longer a liability it is an asset making the person above incorrect. The credit card balance + the student loans = 3,350
HII GIVING BRAINLIESST TO WHO EVER EXPLAINS AND HELPS ME THANK U
Step-by-step explanation:
we don't need to actually do the detailed area calculation.
all we need to consider is that an area, ANY area (for triangles, rectangles,...) is always the product or the sum of products of 2 dimensions (like side lengths).
the scaling factor of similar objects (incl. triangles of course) applies to each individual line, length, height or side.
so, when calculating the area of a similar figure, the scaling factor has to be multiplied in twice (once for every multiplied dimension) - making it the square of the normal single-dimensional scaling factor.
so, in other words, the area scaling factor is the square of the side scaling factor.
coming from A1 to A2 the area scaling factor is
80/45 = 16/9
the side scaling factor is then
sqrt(16/9) = 4/3
we have to multiply a side of A1 by 4/3 to get the corresponding side of A2.
and so, the ratio of A1 side lengths to A2 side lengths is
3:4
(the inverse, upside-down form of the scaling factor as a consequence of the question "how do I convert the 3 length units of A1 into 4 length units of A2 ?" by multiplying the 3 units by the scaling factor 4/3).
A risky stock sells for $10 per share. With probability 0.3, the stock will be worth 3 times as much in two years. With probability 0.7, the stock will be worth 1/10 as much in two years. Suppose you buy 10 shares of the stock and then sell the stock in two years. Let N be the random variable denoting your net gain in dollars. What is the expected value of N
The expected value of the net gain from selling the stock in 2 years is $-3.
What is the net gain?The net gain is the total profit from selling the stock less the total cost of buying the stock
Total cost of buying the stock = 10 x $10 = $-100
Expected selling price = (0.3 x $100 x 3) + (0.7 x$100 x 1/10) += $97
Net gain = $97 - $100= $-3
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find the value of 6.4⋅(8+15)
Answer:
The Answer is 147.2
Step-by-step explanation:
Hope this helps Have a great day and Sry if i'm wrong :)
Keep the ratio simple.
3/5 : 2/5
Answer:
3:2
Step-by-step explanation:
I am assuming this means convert to whole numbers
3/5:2/5 is 6/10:4/10
6/10:4/10 is 0.6:0.4
0.6:0.4 is 6:4
6:4 is 3:2
Answer:
3 : 2Step-by-step explanation:
Keep the ratio simple.
3/5 : 2/5
remove the denominator (5) on both sides and you will have 3 : 2
Solve for x in, 2(4x-3)-8=4+2x
Answer:
x = 3
Step-by-step explanation:
1.
[tex]2\cdot \left(4x-3\right)-8=4+2x\\2\cdot 4x+2\cdot -3-8=4+2x\\8x-6-8=4+2x\\8x-14=4+2x[/tex]
2.
[tex]8x-14=4+2x\\8x-14-2x=4+2~x-2x\\8x-2x-14=4+2x-2x\\6x-14=4+2x-2x\\6x-14=2x-2x+4\\6x-14=4[/tex]
3.
[tex]6x-14=4\\6x-14+14=4+14\\6x=4+14\\6x=18[/tex]
4.
[tex]6x=18\\\frac{6x}{6}=\frac{18}{6}\\x=\frac{18}{6}\\\\[/tex]
[tex]x=\frac{3\cdot 6}{1\cdot 6}\\\\Factor\\x=3[/tex]
A rectangular cloth of length 10 1/2 m and 7 2/3 m wide used to make the UAE national flag. Find the perimeter of the flag.
Answer:
36.32 m
Step-by-step explanation:
perimeter = 2(l+b) = 2(10.5 + 7.66)
=2(18.16)= 36.32 m
Which statements describe the graph of 2 and StartFraction 8 over 9 EndFraction greater-than-or-equal-to x on a number line? Select three options. There is an open circle on 2 and StartFraction 8 over 9 EndFraction. The graph contains the point 0 There is a closed circle on 2 and StartFraction 8 over 9 EndFraction. The arrow points to the left. The arrow points to the right.
The correct option is:
"A closed circle at (2 + 8/9) and the arrow points to the left"
Which statement describes the graph of the inequality?Here we have the inequality:
(2 + 8/9) ≥ x
First, because the symbol ≥ is used, we need to put a closed circle at (2 + 8/9) which means that the value is an actual solution (open circles are used for < and >), and then we shade all the numbers to the left of that value (because x also could be smaller than that).
Then the correct option is:
"A closed circle at (2 + 8/9) and the arrow points to the left"
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Answer: a closed circle on 2 8/9 and the arrow points to the left
Step-by-step explanation:
<3
A mining company has identified a mineral layer below ground.
The mining company wishes to drill down to reach the mineral layer and mode
situation as follows.
With respect to a fixed origin O,
• the ground is modelled as a horizontal plane with equation z = 0
• the mineral layer is modelled as part of the plane containing the points
A(10, 5, -50), B(15, 30, -45) and C(-5, 20, -60), where the units are in
(a) Determine an equation for the plane containing A, B and C, giving your ans
the form r.n=d
Answer:
90
bc i don't care about this
The equation of plane containing the points ABC is 13x+y-18z = 1035.
What is equation of plane?A plane in 3D coordinate space is determined by a point and a vector that is perpendicular to the plane. The equation of plane is defined as the position vectors and the Cartesian product of the vector perpendicular to the plane.
For the given situation,
The plane containing the points
A(10, 5, -50), B(15, 30, -45) and C(-5, 20, -60).
The equation of the plane in the form r.n=d can be represented as
[tex](r-a).[(b-a)[/tex] × [tex](c-a)]=0[/tex] ------ (1)
Let r = xi + yj +zk
a = 10i + 5j - 50k
b = 15i + 30j - 45k
c = -5i + 20j - 60k
[tex](r-a)=(x-10)i+(y-5)j+(z+50)k[/tex] ------- (2)
[tex](b-a)=(15-10)i+(30-5)j+(-45-(50))k[/tex]
⇒ [tex](b-a)=5i+25j+5k[/tex]
[tex](c-a)=(-5-10)i+(20-5)j+(-60-(50))k[/tex]
⇒ [tex](c-a)=-15i+15j-10k[/tex]
Now, [tex](b-a)[/tex] × [tex](c-a)[/tex]
⇒ [tex](5i+25j+5k)[/tex] × [tex](-15i+15j-10k)[/tex]
⇒ [tex]\begin{vmatrix}i&j&k\\5&25&5\\-15&15&-10\end{vmatrix}[/tex]
⇒ [tex]i(-250-75)-j(-50+75)+k(75+375)[/tex]
⇒ [tex]-325i-25j+450k[/tex] -------- (3)
Substitute all values in equation 1,
⇒ [tex][(x-10)i+(y-5)j+(z+50)k].[(-325i-25j+450k)]=0[/tex]
⇒ [tex]-325(x-10)-25(y-5)+450(z+50)=0[/tex]
⇒ [tex]-325x+3250-25y+125+450z+22500=0[/tex]
⇒ [tex]-325x-25y+450z=-22500-3250-125[/tex]
⇒ [tex]-325x-25y+450z=-25875[/tex]
On dividing by 25 and multiply with negative sign on both sides,
⇒ [tex]13x+y-18z=1035[/tex]
Hence we can conclude that the equation of plane containing the points ABC is 13x+y-18z = 1035.
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2. What is the solution of matrix equation
[2 7
1 4] x=[2 5]
Answer:
(d) X = [-27, 8]
Step-by-step explanation:
The solution to the matrix equation can be found by left-multiplying both sides of the equation by the inverse of the coefficient matrix.
AX = B . . . . given
X = A⁻¹B
__
[tex]X=\left[\begin{array}{cc}2&7\\1&4\end{array}\right]^{-1}\left[\begin{array}{c}2\\5\end{array}\right] =\left[\begin{array}{cc}4&-7\\-1&2\end{array}\right]\left[\begin{array}{c}2\\5\end{array}\right] \\\\X=\left[\begin{array}{c}-27\\8\end{array}\right][/tex]
_____
Additional comment
A calculator or spreadsheet can help with this. The solution can also be found by row-reducing the augmented matrix.
