Answer:
When the plane makes its turn to fly southeast, it makes a 45º angle at point a, making angle abc also equal to 45º.
Line ab is the 2 miles southeast the plane flies.
Line ac = line cb
sine (45º) = opposite / hypotenuse = cb / 2
.70711 = cb / 2
cb = 1.41422 miles = line ac
Line cs = 3 - 1.41422 = 1.58578
Line x^2 = cs^2 + cb^2
Line x^2 = 2.5146982084 + 2.0000182084
Line x^2 = 4.5147
Line x = 2.1248
Step-by-step explanation:
answer all three please
Answer:
Triangular prism
Volume = 100cm³
Rectangular prism
Volume = 480³
Total volume of Composite Figure 580cm³
Step-by-step explanation:
Flying against the wind, a jet travels 1650 miles in 3 hours. Flying with the wind, the same jet travels 3480 miles in 4 hours. What is the rate of the jet in still air and what is the rate of the wind?
Step-by-step explanation:
Let the rate of the plane be x
The rate of the wind be y
Against the wind
Resultant velocity = x-y
1650/3 = x - y
550 = x - y
With the wind
Resultant velocity = x + y
3480/4 = x + y
870 = x + y
Solve equation simultaneously
Add both equations
870+550 = x+y+x-y
1420 = 2x
x = 710
x + y = 870
y=870 - 710
y = 160
The rate of jet in still air = 710 mph
The rate of wind = 160 mph
HOPE IT HELPS!
PRETTY PLEASE MARK ME BRAINLIEST :-)
What is the reason: if a+c=b+c then a=b
Step-by-step explanation:
Example 1:
a+c=b+c then a=b
First let the value of a and b be different (not equal)
a=5
b=7
c=10
a+c=b+c
5+10=7+10
15≠17
Example 2:
Let the value a and b be equal (the same)
a=5
b=5
c=10
a+c=b+c
5+10=5+10
15=15
So when,
a+c and b+c is equal, a and b are always equal.
Hope this helps ;) ❤❤❤
Answer:
a=b
Step-by-step explanation:
Reason:
a+c=b+c
a-b=c-c
c-c would be 0
if a-b=c-c=0
a-b=0
Only if a=b can a-b=0
You can also take it as:
b-a=c-c (a+c=b+c)
b-a=0=c-c
Therefore b=a
By the way even I am a BTS army
please help, not so good with this subject
Answer:
I believe the answer is d
Step-by-step explanation:
A rational number is a number that can be written as a ratio. That means it can be written as a fraction, in which both the numerator (the number on top) and the denominator (the number on the bottom) are whole numbers.
In this case, since [tex]\sqrt{81}[/tex] can be simplified to 9 and 9 can be written as a fraction (9/1) it is a rational number.
Determine the equation of the inverse of y = 1/4 x^3 - 2
All of 4x+8 is under a cube root sign.
=====================================================
Work Shown:
To find the inverse, we swap x and y, then solve for y.
[tex]y = \frac{1}{4}x^3 - 2\\\\x = \frac{1}{4}y^3 - 2\\\\x+2 = \frac{1}{4}y^3\\\\4(x+2) = y^3\\\\4x+8 = y^3\\\\y^3 = 4x+8\\\\y = \sqrt[3]{4x+8}\\\\[/tex]
------------
Side note:
If [tex]f(x) = \frac{1}{4}x^3 - 2[/tex] and [tex]g(x) = \sqrt[3]{4x+8}[/tex], then [tex]f(g(x)) = x[/tex] and [tex]g(f(x)) = x[/tex]for all x values in the domain. Effectively, you use function composition to confirm that we have the correct inverse equation.
Which of the following choices is a linear function?
O f(x) = x2 – 3x+ 2
O f(x) = 3x3 – 3x + 2
O f(x) = -3x + 2
Answer:
f (x) = x2 - 3x + 2
Step-by-step explanation:
Answer:
f(x)=-3x+2
Step-by-step explanation:
The first one is a quadtratic function because it is in quadtratic form.
The second one is also not linear because it looks like a squiggly line. Sorry I forgot what they are called but I know it is not linear.
That leaves the last one is is linear and should be going down because there is a negative in front of the coefficient. It also has so exponent to prove why it is linear even further.
Hope this helps!
The length of a room is two times its breadth and three times its height . if the cost of white wash on the 4 wall at Rs. 50 per m² is Rs. 7200, find the cost of carpeting its floor at Rs. 325 per m²
Answer:
Step-by-step explanation:
let the height of the room(h) = x
Length(l) = 3*x = 3x
length = 2 * breadth
breadth(b) = length /2 = 3x/2
Cost of whitewashing the 4 walls = ₹ 7200
Area of 4 walls = 7200 ÷ 50 = 144 m² ------(I)
Area of walls = 2lh + 2bh
= 2*3x*x + 2 *[tex]\frac{3x}{2}[/tex] * x
= 6x² + 3x²
= 9x²
9x² = 144 {From (I)}
x² = 144/9
x² = 16
x = [tex]\sqrt{16}=\sqrt{4*4}[/tex]
x = 4 m
height = 4 m
length = 3*4 = 12m
Breadth = [tex]\frac{3}{2}*4=3*2=6 \ m[/tex]
Area of floor = l*b
= 12 * 6
= 72 m²
Cost of carpeting the floor = 72 * 325 = ₹ 23400
what is the probability notation for the probability for choosing a green marble?
The probability notation for the probability for choosing a green marble is [tex]P(G)=\frac{n(G)}{n(T)}[/tex], where [tex]n(G)[/tex] denotes the number of green marbles and [tex]n(T)[/tex] denotes the number of total marbles in the bag (or from wherever we are choosing).
The probability of occurrence of an event is the ratio of the number of favorable outcomes and the total number of outcomes, where the favorable outcomes are the outcomes that implies the occurrence of the event.
Here, the event is "choosing a green marble". So, the number of green marbles in the bag is the number of favorable outcomes and the total number of marbles in the bag is the total number of outcomes.
Denoting [tex]G[/tex] as the event of "choosing a green marble", the notation [tex]P(G)[/tex] denotes the probability of event [tex]G[/tex], that is, probability of choosing a green marble.
Denoting [tex]n(G)[/tex] and [tex]n(T)[/tex] as the number of green marbles and total number of marbles respectively, by the definition, the probability notation for the probability for choosing a green marble is given as [tex]P(G)=\frac{n(G)}{n(T)}[/tex].
Learn more about probability notation here:
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Look at the pattern below. step 1 with 1 square step 2 with 3 squares step 3 with 6 squares step 4 with 10 squares How many squares will be in the pattern in step 6
Answer:
21 squares
Step-by-step explanation:
Here in this question, we are given a pattern and we want to determine what the values in that pattern will be at a specific step.
We proceed as follows;
What we can see in this pattern is that the difference in number of squares between a pattern and the next pattern increases by the addition of the next integer to the number of squares we have in the last pattern.
Thus for step 5, we shall be adding the next integer( 5) to the number of squares ;
That would be 10 + 5 = 15 squares
For step 6, we shall be adding the next integer (6) to the number of squares in step 5.
That would be 15 + 6 = 21 squares
How we got the initial next integer?
step 1 = 1 square
step 2 = 3 squares ( integer difference of 2)
step 3 = 6 squares ( integer difference of 3)
step 4 = 10 squares ( integer difference of 4)
so;
step 5 = 15 squares ( integer difference of 5)
step 6 = 21 squares( integer difference of 6)
Rank the total mass of each stack
Answer:
Stack A (12M) > Stack D (9M) > Stack E (8M) > Stack B (6M) and Stack C (6M)
Step-by-step explanation:
Stack A has [tex] 6M + 2M + 4M = 12M [/tex]
Stack B has [tex] 2M + 2M + 2M = 6M [/tex]
Stack C has [tex] M + 5M = 6M [/tex]
Stack D has [tex] M + 3M + 5M = 9M [/tex]
Stack E has [tex] 5M + 3M = 8M [/tex]
The total mass of each stack from the highest to the least can be ranked as follows:
Stack A (12M) > Stack D (9M) > Stack E (8M) > Stack B (6M) and Stack C (6M)
1. What will be the sale price of the tennis racquet once the discount has been applied?
2. What is 25% of $12?
3. Which answer shows the discounted sale price for this tablet?
Answer:
150 is the answer of your question. I HOPE IT WILL HELP YOU.
Answer:
1) $150
2) $3
3) $150
Step-by-step explanation:
1) 25% times $200=$150
2) 25% times $12= $3
3) Half of $300 is $150, which 50% off is half off.
I need help and fast!!!!
Answer:
H. b/a
Step-by-step explanation:
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Step 1: Label our variables
y₂ = 2b
y₁ = b
x₂ = 2a
x₁ = a
Step 2: Plug into formula
m = (2b - b)/(2a - a)
Step 3: Evaluate
m = b/a
Answer:
b/a
Step-by-step explanation:
We have two points so we can use the slope formula
m = (y2-y1)/(x2-x1)
= ( 2b - b)/ ( 2a -a)
= b/a
Please help explanation if possible
Step-by-step explanation:
if we multiply gradient of the perpendicular line we are suppose to get -1the gradient of y=-x-2 is -1(gradient is the coefficient of x)therefore the gradient of other line is 1y =mx+c10=-5 +cc=15therefor the equation of the line is y=x+15I am thinking of 3 consecutive numbers. The first is a multiple of 4, the second is a multiple of 5 and the third is a multiple of 6." What could the numbers be? Can you find 3 possible sets of numbers
Answer:
{4, 5, 6}, {64, 65, 66}, {124, 125, 126}
Step-by-step explanation:
x = 1st number
x + 1 = 2nd number
x + 2 = 3rd number
{4, 5, 6}, {64, 65, 66}, {124, 125, 126}
The possible set of numbers are {4,5,6}, {64,65,66} and {124,125,126}
What are consecutive number?Consecutive numbers are the numbers which follow each other in order from small to greater number.
Let three consecutive numbers are, x ,x+1 and x+2.
According to given condition,
The first number is a multiple of 4,
The second number is a multiple of 5,
And The second number is a multiple of 6.
Start from 4 and then try to find out sequence,
The numbers can be 4, 5 and 6.
Further, the number can be 64,65 and66
And The numbers can be 124,125 and 126
So, three sets of numbers are {4,5,6}, {64,65,66} and {124,125,126}
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a golf course is trying to determine par for a particular hole. calculate the value they should put on the sign where people tee off so they know what par is for this hole.
The value they should put on the sign where people tee off so they know
what par is for the hole is six (6)
The reasoning through which the correct answer is arrived at is presented here given table of values which is presented as follows;
[tex]\left[\begin{array}{ccc}Golf \ Strokes \ (x)&Frequency \ (f) & f \times x\\2&16& 32\\3&21&63\\4&23&92\\5&20&100\\6&54&324\\7&40&280\\8&23&184\\9&16&144\\\sum&213&1,219\end{array}\right][/tex]
The mean number of golf strokes for the hole is ∑(f·x)/∑f
The calculation for f × x on the table includes;
∑(f·x) = (2×16 + 3×21 + 4×23 + 5×20 + 6×54 + 7×40 + 8×23 + 9×16) = 1219
∑f = 16 + 21 + 23 + 20 + 54 + 40 + 23 + 16 = 213
∴ ∑(f·x)/∑f = 1,219/213 = 5.72 ≈ 6
The mean number of golf strokes expected is approximately 6 strokes
The value they should put on the sign where people tee off so they know what par is for the hole is 6
A triangle has sides of lengths 16, 63, and 65. Is it a right triangle? Explain.
Answer:
Yes
Step-by-step explanation:
If a triangle is a right triangle, the 3 side lengths will check out in the Pythagorean Theorem.
[tex]a^2+b^2=c^2[/tex]
where a and b are the legs and c is the hypotenuse.
The legs are the 2 shorter lengths and the hypotenuse is the longest length. The 3 side lengths are: 16,63 and 65. Therefore, 16 and 63 are the legs and 65 is the hypotenuse.
a=16
b=63
c=65
[tex]16^2+63^2=65^2[/tex]
Evaluate each exponent.
16^2=16*16=256
[tex]256+63^3=65^2[/tex]
63^2=63*63=3969
[tex]256+3969=65^2[/tex]
65^2=65*65=4225
[tex]256+3969= 4225[/tex]
Add 256 and 3969
[tex]4225=4225[/tex]
The statement above is true; 4225 is equal to 4225. Therefore, this is a right triangle because the side lengths check out when plugged into the Pythagorean Theorem.
Find the slope and the y-intercept of the graph of the linear equation.
y=-7x+2
A) slope: - 1 y-intercept: 2
B) slope: 2; y-intercept: -7
C) slope: -7; y-intercept: 2
D) slope: 2; y-intercept: -7
Answer:
c) Slope;-7;y-intercept:2
Step-by-step explanation:
there are two pots of milk containing 20 liters and 24 liters respectively .find the capacity of the largest container that can measure exactly milk both the cans
Answer:
A can with capacity 44 litres
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
i need help asap im timed
Answer:-
Refer to attachment for the required solution.
Answer:
Step-by-step explanation:
What is the slope of the line below?
y=2/3 X - 3
Answer:
2/3
Step-by-step explanation:
Hey there!
Well in the equation,
y = 2/3x - 3
the slope is 2/3 because the equation shows 2/3x and wherever the x is in slope intercept that the slope.
Hope this helps :)
What is the equation for a circle centered at the origin (0,0)?
a) r sqt = x sqt + y sqt
b) r sqt =(/x+y) sqt
c) r= /x+y
d) r=x+y
Answer:
[tex]{ \sf{ \sqrt{r} = \sqrt{(x {}^{2} + {y}^{2} ) } }}[/tex]
Step-by-step explanation:
General equation:
[tex]{ \bf{ {x}^{2} + {y}^{2} + 2ax + 2by + c = 0}} \\ [/tex]
but a and b are 0:
[tex]{ \bf{ {x}^{2} + {y}^{2} = {r}^{2} }} \\ { \bf{ \sqrt{ {x}^{2} + {y}^{2} } = \sqrt{r} }}[/tex]
Please answer this question now
Answer:
298.3 square centimeters
Step-by-step explanation:
We are given
Slant height (l)= 14cm
Radius (r)= 5cm
Since we are given the slant height ,
the formula for surface area of a cone =
πrl + πr²
πr(l + r)
π = 3.14
Hence,
3.14 × 5(14 + 5)
3.14 × 5(19)
= 298.3 square centimeters
Suppose 100 users of a social networking site are chosen for a sample, but
only 25 respond. What is this an example of?
A. Response bias
B. Nonselection bias
O C. Selection bias
D. Nonresponse bias
Answer:
i think its d
Step-by-step explanation:
Answer: C
Step-by-step explanation:
please please help thank you so much
2p+8p>-20 help please ☺️
Answer:
p > -2
Step-by-step explanation:
2p + 8p > -20
10p > -20
10/10p > -20/10
p > -2
p is greater than -2
Please help this is really important
help ASAP!!!
bensnsnana
Answer:
c
Step-by-step explanation:
plug in 6 or -6 into x. square it. get 36 -11 =25
Answer:
c/d(most likely d)
Step explanation:
f(x)=x^2-11
For f(x) to be <25 x^2-11 must be x^2-11 < 25
Number just greater than 25 is 26 so x^2-11<25
x^2-11<25
x^2<36
x<√36
Therefore, for x^2-11<25 x must be between +6 & -6
Therefore option c is correct but the signs are mistake so it's either d or c.(most likely d)
Bias can _____ be completely eliminated. a) always b)sometimes c) never
Answer:
the answer is c.
Step-by-step explanation:
c is the only reasonable option.
Which formula would you use to calculate the total enclosed space of Firm 1’s structure. Explain your choice.
What is the total enclosed space of Firm 1’s structure
Answer:
Total enclosed space = 6597.35 ft³
Step-by-step explanation:
Firm 1's structure is in the form of a cylinder, so the formula to get the enclosed space or volume of the cylinder will be,
Volume = πr²h
where r = radius of the structure
h = height of the Firm
By substituting the values of 'r' and 'h' in the given formula,
V = [tex]\pi (\frac{70}{2})^{2}(60)[/tex]
= [tex]\pi (35)\times 60[/tex]
= 6597.345
≈ 6597.35 cubic feet
Total enclosed space of Firm 1 is 6597.35 cubic feet.
Answer:
pi*r sqrq
Step-by-step explanation:
bc its a cirlce
total SA=10445.8 units sqrt
ur welcome
Samuel has $20 in his savings account before he makes a deposit of $160 after two weeks he withdraws $160 how did Samuel savings account balance change