Answer:
Hey there!
Sine is equal to opposite/hypotenuse
Tangent is equal to opposite/adjacent
opposite=a
hypotenuse=b
adjacent=c
Thus, tangent x= a/c.
Hope this helps :)
Answer:
tan x = a/sqrt(b^2 - a^2)
Step-by-step explanation:
sin x = a/b = opp/hyp
tan x = opp/adj
adj^2 + opp^2 = hyp^2
adj^2 + a^2 = b^2
adj = sqrt(b^2 - a^2)
tan x = a/sqrt(b^2 - a^2)
help me quickly, please! For a function p(x), as |x|= infinity, then p(x)=2. which of the following graphs could be p(x)
Answer:
A
Step-by-step explanation:
What as |x|= infinity, then p(x)=2 mean is that,
as x get bigger on either side of +ve or -ve, you get really close to 2.
Graph A could be p(x).
The answer is option A.
What is a simple definition of function?
A function is defined as a relation between a fixed of inputs having one output every. In easy words, a function is dating between inputs in which every entry is associated with precisely one output. Each function has a site and codomain or range.
What is a function example?A function can then be defined as a set of ordered pairs: Example: {(2,4), (3,5), (7,3)} is a function that says. "2 is related to 4", "3 is related to 5" and "7 is related 3". Also, notice that: the domain is {2,3,7} (the input values).
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Simplify
x2 + 5x + 4/X +4
Answer:
[tex] \frac{ {x}^{2} + {5x}^{2} + 4x + 4}{x} [/tex]
How many terms are there in the sequence 1, 8, 28, 56, ..., 1 ?
Answer:
9 terms
Step-by-step explanation:
Given:
1, 8, 28, 56, ..., 1
Required
Determine the number of sequence
To determine the number of sequence, we need to understand how the sequence are generated
The sequence are generated using
[tex]\left[\begin{array}{c}n&&r\end{array}\right] = \frac{n!}{(n-r)!r!}[/tex]
Where n = 8 and r = 0,1....8
When r = 0
[tex]\left[\begin{array}{c}8&&0\end{array}\right] = \frac{8!}{(8-0)!0!} = \frac{8!}{8!0!} = 1[/tex]
When r = 1
[tex]\left[\begin{array}{c}8&&1\end{array}\right] = \frac{8!}{(8-1)!1!} = \frac{8!}{7!1!} = \frac{8 * 7!}{7! * 1} = \frac{8}{1} = 8[/tex]
When r = 2
[tex]\left[\begin{array}{c}8&&2\end{array}\right] = \frac{8!}{(8-2)!2!} = \frac{8!}{6!2!} = \frac{8 * 7 * 6!}{6! * 2 *1} = \frac{8 * 7}{2 *1} =2 8[/tex]
When r = 3
[tex]\left[\begin{array}{c}8&&3\end{array}\right] = \frac{8!}{(8-3)!3!} = \frac{8!}{5!3!} = \frac{8 * 7 * 6 * 5!}{5! *3* 2 *1} = \frac{8 * 7 * 6}{3 *2 *1} = 56[/tex]
When r = 4
[tex]\left[\begin{array}{c}8&&4\end{array}\right] = \frac{8!}{(8-4)!4!} = \frac{8!}{4!3!} = \frac{8 * 7 * 6 * 5 * 4!}{4! *4*3* 2 *1} = \frac{8 * 7 * 6*5}{4*3 *2 *1} = 70[/tex]
When r = 5
[tex]\left[\begin{array}{c}8&&5\end{array}\right] = \frac{8!}{(8-5)!5!} = \frac{8!}{5!3!} = \frac{8 * 7 * 6 * 5!}{5! *3* 2 *1} = \frac{8 * 7 * 6}{3 *2 *1} = 56[/tex]
When r = 6
[tex]\left[\begin{array}{c}8&&6\end{array}\right] = \frac{8!}{(8-6)!6!} = \frac{8!}{6!2!} = \frac{8 * 7 * 6!}{6! * 2 *1} = \frac{8 * 7}{2 *1} = 28[/tex]
When r = 7
[tex]\left[\begin{array}{c}8&&7\end{array}\right] = \frac{8!}{(8-7)!7!} = \frac{8!}{7!1!} = \frac{8 * 7!}{7! * 1} = \frac{8}{1} = 8[/tex]
When r = 8
[tex]\left[\begin{array}{c}8&&8\end{array}\right] = \frac{8!}{(8-8)!8!} = \frac{8!}{8!0!} = 1[/tex]
The full sequence is: 1,8,28,56,70,56,28,8,1
And the number of terms is 9
10 pts
A 25-foot ladder is placed against a building and the top of the ladder makes a 32° angle with the
building. How many feet away from the building is the base of the ladder? Write only the number
rounded to the nearest tenth of a foot.
Answer:
13.2 ft
Step-by-step explanation:
We are given a ladder, a building, and an angle. Let's construct a right triangle (see attachment).
In this right triangle, we know that the hypotenuse (the ladder) is 25 feet, while the angle made between the top of the ladder and the building is 32°. Since we want to find the number of feet between the building and the base of the ladder, we will use the trigonometric function sine, which is opposite divided by hypotenuse.
Here, the opposite side is the value we want to find, while the hypotenuse is the length of the ladder.
We have:
sin(32°) = opposite / hypotenuse = x / 25
x = 25 * sin(32°) ≈ 13.2 ft
The answer is thus 13.2 ft.
~ an aesthetics lover
HELP ASAP MONEY & WAGES!
Answer: $26.70 per hour
Step-by-step explanation:
Regular hours consists of 8 hrs
Overtime hours is 12 - 8 = 4 hours
Regular pay at "x" per hour = 5(8)(x) = 40x
Overtime pay at "2x" per hour = 5(4)(2x) = 40x
Total pay = 80x
Total Pay = $2136 = 80x
[tex]\dfrac{\$2136}{80}=x[/tex]
$26.70 = x
Given: AB = BC, AC is ∠ bisector of ∠BAD Prove: BC ∥ AD
Answer:
<BAC ≅ BCA by rule Base angle theorem
Step-by-step explanation:
What we know:
BAC = DAC
BC = BA
ΔBCA is an isosceles so ∠BCA = ∠DCA and ∠BAC
and we found that out by base angle theorem since
Base angle Theorem = Two base angles of a icosceles triangle are equal.
And since ΔBCA is an isoceles then ∠A and ∠C will be equal. And so we can prove BC is a parallel to AD
The proof that BC ∥ AD from the given statements is that;
BC ∥ AD because of the definition of alternate angles
We are given;
AB = BC
AC is ∠ bisector of ∠BAD
Since AC is the angle bisector of ∠BAD, it means that;
∠BAC = ∠DAC (definition of a bisected angle)
Now, since AB = BC, it means that ΔBCA is an isosceles triangle.
Thus; ∠BCA = ∠BAC (base angle theorem)
Now, since ∠BCA = ∠BAC, and ∠BAC = ∠DAC, we can say that;
∠BCA = ∠DAC
This means ∠BCA and ∠DAC are alternate angles. Thus, we can say that AC is the transversal line carrying the two equal angles.
Thus, we can say that BC is parallel to AD as they are the parallel lines cut by the transversal line AC.
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Which function does this graph represent ?
Answer:
choice A: f(x)=3(x+1)^2+2
Step-by-step explanation:
All the choices are written in vertex form.
The vertex of the graph shown is (-1, 2).
all answer choices show that the a-value in vertex form is a positive 3
the vertex form is f(x)=a(x-h)^2+k, where h is the x-value of the vertex and k is the y-value of the vertex of the parabola
so, the equation with f(x)=3(x-(-1))^2+2, because -1 is the x-value and 2 is the y-value of the vertex
the equation fully simplified is f(x)=3(x+1)^2+2
Andrew wants to ride the Ultramonster roller coaster. He observes the sign at the entrance that says riders must be at least forty-three inches tall to ride the roller coaster. Since Andrew was at the doctor's office yesterday he remembers they said he wasthree and a third feet tall. Is he tall enough to ride the Ultramonster?
Answer:
No
Step-by-step explanation: he is 3 and 1/3 feet tall. 3 feet is 36inch and 1/3 feet is 4 inches, so 36+4 is 40 inches
Find the length of a cube with a surface area of 850cm^2 rounded to the nearest tenth. I need a step by step solution pleaseeee:)
Answer:
11.9 cm.
Step-by-step explanation:
A cube has a SURFACE AREA of 850 cm^2.
A cube has six congruent sides. That means that each side measures 850 / 6 = 141.666666667 cm^2.
Since a side measures 141.66667 cm^2, a side length will be the square root of that (the area of a square is a side length times the side length, and they are the same).
[tex]\sqrt{141.666666666667}[/tex]
= 11.90238071
So, the side length of the cube is 11.9 cm.
Hope this helps!
The stock of Company A lost 2.75% today to $77.80. What was the opening price of the stock in the beginning of the day?
Answer:
$80
Step-by-step explanation: $80.00*.0275= 2.20 80.-2.20=$77.80
The opening price of the stock in the beginning is A = $ 80
What is Percentage?A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %
The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.
Percentage change is the difference between the measured value and the true value , as a percentage of the true value
Percentage change =( (| Measured Value - True Value |) / True Value ) x 100
Given data ,
Let the opening price of the stock in the beginning be A
Now , the percentage of decrease in the stock price = 2.75 %
And , the price after decrease = $ 77.80
On simplifying , we get
The opening price of the stock in the beginning - ( percentage of decrease in the stock price ) x opening price of the stock in the beginning = $ 77.80
A - ( 2.75 / 100 )A = 77.80
( 97.25/100 )A = 77.80
Divide by 97.25 on both sides , we get
A / 100 = 0.8
Multiply by 100 on both sides , we get
A = $ 80
Hence , the opening price of the stock is A = $ 80
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hurry please!! The equation cos35°=a/25. What is the length of the line BC? Round to the nearest 10th
Answer:
25 is the same lenghth rounded
Step-by-step explanation:
aproximitly it rounded to the 10
I really need help plzz. This is due it 20 mins and I would REALLY appreciate someone if they help. I will mark u as brainiest. I've been needing help since the morning :(
Answer:
Page 1:
I chose Cartoon 3
=> It can be difficult to save money because we don't actually know where all of our money goes. In this cartoon, the lady has bought something of which she had no idea but she bought that just because it was on sale. It is of no use to her and she even doesn't know how to use it. She didn't same money (as it was on sale), she rather wasted the money on buying a think she doesn't even know how to use.
I found this cartoon persuasive as the cartoonist tried its best to persuade the watcher. The cartoon would look more persuasive if the cartoonist added more colors to it. So, it would look more attractive.
Page 2:
I feel really depressed about the situation but thanks to God I've that $1000. I think I would e able to spend 30 days with those $1000 by restricting my expenditures. Then I'll have a happy 30 days. Also, I can find a new job during these 30 days too.
Is anyone good at probabiltiy??
Pls helppppp
In a school, 60% of the students take a foreign language class and 20% of
students take both foreign language and technology. What is the probability that a student takes technology given that the students takes foreign language?
Answer:
1/3
Step-by-step explanation:
Only 20% / 60% = 1/3 of the foreign language students take technology as well, therefore the probability would be 1/3.
HELP ASAP!!! BRAINLIEST!
Answer:
( 1/25 x^-12 y^-14 )
Step-by-step explanation:
( 5 x^6 y^7 ) ^-2
We know that ( ab) ^c = a^ c * b^c
( 5^-2 x^6^-2 y^7^-2 )
We know that a^b^c = a^(b*c)
( 5^-2 x^-12 y^-14 )
We know that a^ -b = 1/ a^b
( 1/25 x^-12 y^-14 )
which of the following is the equation of a line perpendicular to the line y=-1/3x+1 passing through the point 2,7
Answer:
y=3x+1
Step-by-step explanation:
perpendicular lines=their gradient multiply to produce -1 thus:
(line 1) y= -⅓x+1. gradient is. -⅓x
(line 2) gradient = 3
y=mx+c
3=y-7
x-2
multiply both sides by x-2 to remove the denominator.
3(x-2)=y-7
3x-6=y-7
collect the like terms to remain with y in one is side
3x-6+7=y
3x+1=y
y=3x+1
are these two expressions equal? (q-r)^2 and q^2-r^2?????
Answer:
[tex]\boxed{\sf No}[/tex]
Step-by-step explanation:
[tex](q-r)^2[/tex]
Expand brackets.
[tex](q-r)(q-r)[/tex]
[tex]q^2 -rq -rq+r^2[/tex]
Combine like terms.
[tex]q^2 -2rq+r^2[/tex]
The expression is not equal to [tex]q^2 -r^2[/tex].
Answer:
Yes, they are.
Step-by-step explanation:
[tex](q - r) {}^{2} =( q) {}^{2} - (r) {}^{2} = q {}^{2} - r {}^{2} [/tex]
[tex](q - r) {}^{2} = q {}^{2} - r {}^{2} [/tex]
Hope this helps ;) ❤❤❤
Solve, graph and give the solution in interval notation 3x+6<12
Answer:
Step-by-step explanation:
3x + 6 < 12
-6 -6
3x < 6
x < 2
x < 2
<------------o
2
first answer gets best marks
Answer:
A, B, E
Step-by-step explanation:
I attached everything that I thought it would help you.
Hope this helps ;) ❤❤❤
Help please!Thank you
Answer:
f. 85
Step-by-step explanation:
All triangles add up to 180 degrees
BCE=25
then you need to find DBC, you can do that since ABD is isocilies that means all sides are equal in length and angle so 180 divided by 3 (number of side) is 60
isoceles triangle have 2 sides that are equiangular, cince we know BCA is 25 we also know BAC is 25, leaving angle ABC to be 130 (180-50=130)
we subtract angle ABD from angle ABC to get angle DBC, leaving angle DBC to equal 70 degrees
since 70 (angle DBC) + 25 (Angel BCA)= 95
we just subtrract 95 from 180 to get the answer 85 (:
Answer:
85 degrees
Step-by-step explanation:
if Δ ABD is equilateral then the 3 sides and three angles are equal
sum of angles of Δ=180
180/3=60 degrees (∠A,∠B,∠D)
ΔBCA is isosceles then the two angles A and C are equal = 25
∠B=180-50=130
∠B in Δ BEC=130-60=70
∠E+∠B+∠C in Δ BEC=180
∠E= 180-70-25=85 degrees
Choose the kind(s) of symmetry for the letter(D). Select all that apply Point Line Plane None
Answer:
The only way is across.
Find the value of y.
80
93
112
y
Z
X
y=[ ? 1°
Answer:
y = 86°
Step-by-step explanation:
The measure of an arc intercepted by an inscribed angle is double the measure of the inscribed angle.
The arc intercepted by the 93° inscribed angle is ...
112° +x = 2(93°)
x = 74° . . . . . . . subtract 112°, simplify
The arc intercepted by the 80° inscribed angle is ...
x + y = 2(80°)
74° +y = 160°
y = 86°
Given: l | | m m 1 = 140° m 3 = 50° m 6 =
Answer:
m∠6 = 90°
Step-by-step explanation:
∠1 and ∠2 are a linear pair. This means they are supplementary, or their measures sum to 180°. To find m∠2, we subtract m∠1 from 180:
180-140 = 40°
The measure of ∠2 is 40°.
The sum of the measures of the angles in a triangle is 180°. We have ∠2 and ∠3; to find the measure of ∠6, we subtract these two from 180:
180-(40+50) = 180-90 = 90°
Find the smallest number which
when multiplied with 28800 will
the product a perfect cube
furthur, find the
find the cube root of
the product.
Answer:
Step-by-step explanation:
28800 = 2 * 2 * 2 * 2 * 2 * 3 * 3 * 10 * 10
You need one 2
You need one 3
You need one 10
28800 * 2 * 3 * 10 = 2 * 2 * 2 * 2 * 2 * 2 * 3 * 3 * 3 * 10 * 10 * 10
(2*6 * 3* 3^3 * 10^3) ^(1/3)
2*2 * 3 * 10 is the cube root
120
a fish weighs 2 kg plus half of its weight. what is the total weight of the fish
Answer:
3kg
Step-by-step explanation:
3kg because half of 2 is 1 which then means 2+1 will equal to 3
The total weight of the fish is = 3kg
Calculation of total weightWeight of an object or a body is the relative mass of that body in Kilogrammes.
The weight of the fish = 2kg + (1/2 × 2kg)
= 2 + 1 = 3kg
Therefore, the total weight of the fish is = 3kg
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What's the correct answer to this..? Please help
Answer:
D. {x:-8≤x<-5}
Step-by-step explanation:
x≥-8
x={-8,-7,-6,-5,-4,-3,-2,-1,0...}
x<-5
x={-6,-7,-8,-9,-0...}
Numbers equal to or less than -8 are also less than -5
Hope it helps ;) ❤❤❤
Answer:
The answer is "D"
What is the approximate diameter of a sphere with a volume of 34 cm3?
Answer:
4 centimeters
Step-by-step explanation:
The volume of a sphere can be found using the following formula:
v=4/3*π*r^3
We know the volume is 34 cm^3. Therefore, we can substitute 34 in for v.
34=4/3*π*r^3
We are trying to find r, or the radius. Therefore, we need to get r by itself on one side of the equation.
First, divide both sides by pi.
34/π=4/3*π*r^3 /π
34/π =4/3 * r^3
10.8225361= 4/3 * r^3
Next, divide both sides by 4/3, or multiply by the reciprocal of the fraction.
To find the reciprocal, flip the numerator and denominator of the fraction
4/3 ---flip top number and bottom number --> 3/4
3/4 * 10.8225361= 4/3*r^3 *3/4
3/4* 10.8225361= r^3
8.11690208= r^3
Finally, take the cube root of both sides of the equation.
∛8.11690208=∛r^3
∛8.11690208=r
2.00969477=r
Round to the nearest whole number.
r=2
Now, we must find the diameter. The diameter is twice the radius.
d=2r
The radius is 2 cm.
d= 2 * 2cm
d= 4 cm
The diameter is 4 cm
Someone pls help me I put numbers so it will be more easier
Answer:
1.road 1
2. scooter
3. walk
Answer:
1. road 1
2. scooter
3. walk
Step-by-step explanation:
1. in the corresponding point on the tree, you have road 2. therefore, the most logical answer would be road 1.
2. you are given three options of travel. as "walk" and "bike" are already provided, they cannot be the answer to fill in for box 2. therefore, you are left with "scooter."
3. similarly, you are given three options of travel. as "bike" and "scooter" are already provided, they cannot be the answer to fill in for box 3. therefore, you are left with "walk."
Write the equations after translating the graph of y = | 1/2 x−2|+3 One unit to the left. FIRST ANWSER GETS BRAINILY!!!!
Answer:
Translating it to the left by 1 unit means that we need to add 1 from the quantity in the absolute value symbols. However, it is 1/2x and not x so we only add 1/2 which gives us y = |1/2x - 1.5| + 3.
There are 48 crackers on a plate which are going to be shared by 5 friends. Which of the following best describes how many crackers each person will get?
2 people get 10 crackers each 3 people get 9 crackers each
2 people get 13 crackers each 3 people get 12 crackers each
3 people get 10 crackers each 2 people get 9 crackers each
4 people get 8 crackers each 1 person gets 15 crackers each
will mark brainliest!!!
Answer:
3 people get 10 crackers each 2 people get 9 crackers each
Step-by-step explanation:
SO WE CHECK THE OTHER ANSWERS
1. 2 people get 10 crackers each 3 people get 9 crackers each
(2*10)+(3*9)=?
20+27=47
WHICH IS WRONG CAUSE WE NEED THE SUM TO BE 48
2. 2 people get 13 crackers each 3 people get 12 crackers each
(2*13)+(3*12)=?
26+36=62
WHICH IS WRONG CAUSE WE NEED THE SUM TO BE 48
3. 3 people get 10 crackers each 2 people get 9 crackers each
(3*10)+(2*9)=?
30+18=48
WHICH IS CORRECT CAUSE THE SUM SHOULD BE 48
4. 4 people get 8 crackers each 1 person gets 15 crackers each
(4*8)+(1*15)=?
32+15=47
WHICH IS WRONG CAUSE WE NEED THE SUM TO BE 48
SO THE ANSWER IS 3 people get 10 crackers each 2 people get 9 crackers each
I HOPE I HELPED
PLS MARK BRAINLIEST!!!!!! (DESPERATELY TRYING TO LEVEL UP)
IT TOOK ME 10 MINS TO TYPE THIS
-ZYLYNN JADE
Subtract: (7-6i)(4+2i)
Answer:
(3-8i)
Step-by-step explanation:
Group the real part and the imaginary part of the complex number