PLEASE HELP I DON'T KNOW WHAT TO DO AND I CANT MOVE ON TO THE NEXT ONE!!
Solve for x. If needed, round your answer to 1 decimal place.
Answers
The value of x in the right triangle is 21.4
How to solve for x?To solve for x, we use the following sine function
Sin(angle) = Opposite/Hypotenuse
So, we have:
sin(31) = 11/x
Make x the subject
x = 11/sin(31)
Evaluate
x = 21.4
Hence, the value of x is 21.4
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Related Questions
A support wire reaches from the top of a pole to a clamp on the ground. The pole is
perpendicular to the level ground and the clamp is 10 feet from the base of the pole. The
support wire makes a 68° angle with the ground. Find the length of the support wire to the
nearest foot.
Answers
The length of the support wire on the pole is 27 feet
How to determine the length of the support?The given parameters are:
Distance from the base, b = 10 feetAngle with the ground, x = 68 degreesThe length (L) of the support wire is then calculated using the following cosine function
cos(x) = b/L
This gives
cos(68) = 10/L
Make L the subject
L = 10/cos(68)
Evaluate
L = 27
Hence, the length of the support wire is 27 feet
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Calculate the discriminant to determine the number of real roots of the quadratic equation y = x^2 + 3x - 10
Ono real roots
three real roots
two real roots
one real root
Answers
The given quadratic equation [tex]y = x^2 + 3x - 10[/tex] Hence, the correct option is D one real root.
How to use discriminant to find the property of solutions of given quadratic equation?Let the quadratic equation given be of the form ax^2 + bx + c = 0, then
The quantity [tex]b^2 - 4ac[/tex] is called its discriminant.
The solution contains the term [tex]\sqrt{b^2 - 4ac}[/tex] which will be:
Real and distinct if the discriminant is positive
Real and equal if the discriminant is 0
Non-real and distinct roots if the discriminant is negative
The given quadratic equation
[tex]y = x^2 + 3x - 10[/tex]
a = 1
b = 3
c = -10
The discriminant
[tex]b^2 - 4ac[/tex]
= 9 - 4(1)(-10)
= 9- 40
= - 31
Thus, Non-real and distinct roots if the discriminant is negative.
Hence, the correct option is D one real root.
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In complete sentences, explain whether or not it makes sense to say that the density of helium is 0.1785 kilograms per square meter.
Answers
No, it does not make any sense to say that the density of helium is 0.1785 kilograms per square meter.
How to express the density of an element?
No, it does not make any sense to say that the density of helium is 0.1785 kilograms per square meter.
The reason why it doesn't make sense is because density of helium, and all the rest of the chemical elements are calculated as;
Density = mass/volume
where;
mass is measured in kilograms.
volume is measured in cubic meter.
Thus, the density of the helium should be expressed as 0.1785 kilograms per cubic meter.
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Pretest: Unit 8
Question 12 of 13
Which option below provides the best description of the relationship between
a quadratic parent function and a square root parent function?
A. The square root function is the quadratic function reflected across
the y-axis.
B. The square root function is the quadratic function reflected across
the line y = x, with a limited domain.
C. The square root function is the quadratic function reflected across
the x-axis.
Answers
B. The square root function is the quadratic function reflected across
the line y = x, with a limited domain.
graph y=x^2 and y=√x and y=x
graph is attached
gathmath
The soulution to 6+2x>32 is either x>13 or x<13. Which soulution is correct? Explain how you know - prove it with a number
Answers
Answer:
6+2x >32
2x>32-6
2x>26
divide both sides by 2
therefore, x>13
Step-by-step explanation:
this is because x don't has a negative sign or is on the other side
please help me get better at math, i need someone who's actually good at it in order to become good myself.
Answers
Answer:
what subject of math? Anything to do with calc is a tough area but I can try.
Step-by-step explanation:
if yassy got score of 9, what is her rank?
Answers
answer:
4nd rank
Step-by-step explanation:
I'm not sure btw.
If AB is tangent to (circle)C at A, find BC.
Answers
The length of r if AB is tangent to circle C, forming a right triangle is 8 units.
What is an equation?An equation is an expression that shows the relationship between two or more variables or numbers.
From the diagram, using Pythagoras theorem:
BC² = AC² + AB²
17² = 15² + r²
r = 8 units
The length of r if AB is tangent to circle C, forming a right triangle is 8 units.
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Prove that :
following
[tex](tan \: q \: + sec \: q) {}^{2} = \frac{1 + sin \: q \: }{1 - sin \: q \: } [/tex]
Answers
[tex]\text{L.H.S}\\\\=(\tan q + \sec q)^2\\\\\\=\left(\dfrac{\sin q}{ \cos q} + \dfrac 1{ \cos q} \right)^2\\\\\\=\left( \dfrac{1+ \sin q}{\cos q}\right)^2\\\\\\=\dfrac{(1+ \sin q)^2}{\cos^2 q}\\\\\\=\dfrac{(1+ \sin q)^2}{1-\sin^2 q}\\\\\\=\dfrac{(1 + \sin q)(1 + \sin q)}{(1+ \sin q)(1 - \sin q)}\\\\\\=\dfrac{1+ \sin q}{1- \sin q}\\\\=\text{R.H.S}\\\\\text{Proved.}[/tex]
A rectangle is transformed according to the rule r0, 90º. the image of the rectangle has vertices located at r'(–4, 4), s'(–4, 1), p'(–3, 1), and q'(–3, 4). what is the location of q?
Answers
For 90 degrees coordinate will be swapped and the position of the coordinate is in the third quadrant. Then the location of point q will be at (–4, –3).
What is a transformation of a point?A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.
A rectangle is transformed according to the rule 90º.
The rectangle has vertices located at r'(–4, 4), s'(–4, 1), p'(–3, 1), and q'(–3, 4).
Then the location of q will be
For 90 degrees coordinate will be swapped and the position of the coordinate is in the third quadrant. Then the location of point q will be at (–4, –3).
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Determine the value of y, if x is 2
Y=x^2+5
Answers
Answer:
y = 9
Step-by-step explanation:
y = (2)^2 + 5
y = 4 + 5
y = 9
Can someone help me with this? Thanks!
Answers
Part (a)
There are 3 face cards (jack, queen, king) in any given suit. We have 4 suits. That gives 3*4 = 12 face cards total.
12/52 = 3/13 is the probability of getting a face card on any random selection. This probably does not change for any future selection because we put the current card back. In other words, the deck has not changed. Contrast this with part (b) where the probabilities will change since the card counts decrease each time (since we don't put the card back).
The probability of getting 3 face cards in a row, with replacement, is:
(3/13)*(3/13)*(3/13) = 0.012289 approximately
This converts to the percentage 1.2289% after moving the decimal point two spots to the right. This is the same as multiplying by 100.
Lastly, round that to one decimal place to get 1.2%
Answer: 1.2The percent sign is already taken care of, so you'll just input the number only.
=============================================================
Part (b)
Like mentioned earlier, the probability of a face card is 12/52
I won't reduce that fraction, as you'll see why below.
After that first card is not put back, the 12 decreases to 12-1 = 11 and we have 52-1 = 51 cards left over.
11/51 is the probability of getting another face card, where we have no replacement going on.
Then 10/50 is the probability of getting a third face card. Again, with no replacement.
Therefore,
(12/52)*(11/51)*(10/50) = 0.009955
is the approximate probability of getting 3 face cards in a row with no replacement. Notice the count down 12,11,10 in the numerators. There's also the countdown 52, 51, 50 in the denominators. This nice pattern only happens if we don't reduce the reducible fractions. This is why I didn't reduce.
Anyways 0.009955 converts to 0.9955% which rounds to 1.0% or simply 1%
Answer: 1Which statements describe one of the transformations performed on f(x) = x² to create g(x)=3(x+5)² - 2? Choose all that apply. 1 A. A vertical stretch with a scale factor of 3 B. A translation of 5 units to the left C. A vertical stretch with a scale factor of 3 D. A translation of 2 units to the left
Answers
These following translations happened to transform f(x) into g(x):
A. vertical stretch with a scale factor of 3. B. A translation of 5 units to the left.E. A translation of 2 units down.What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, the functions are as follows:
f(x) = x².g(x) = 3(x + 5)² - 2.The changes were as follows:
x -> x + 5, hence a shift of 5 units left.Multiplication by 3, hence a vertical stretch with a scale of 3.y -> y - 2, hence shifted 2 units down.More can be learned about translations at https://brainly.com/question/4521517
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Please help me with this math problem!! Will give brainliest!! :)
Answers
Answer:
x = 10
Step-by-step explanation:
The sum of the angles of a quadrilateral is 360°
(4x + 23) + (7x - 3) + (6x - 5) + (16x + 15) = 360°
4x + 23 + 7x - 3 + 6x - 5 + 16x + 15 = 360°
Add like terms
33x + 30 = 360°
Subtract 30 from both sides
33x = 330°
x = 10
Answer:
10
Step-by-step explanation:
A quadrilateral is a four sideded figure with four angles and four vertices.we should note that the sum of angles of a quadrilateral is equal 360°
therefore,
(4x+23)+(16x+15)+(6x-5)+(7x-3)=360
30 +33x= 360
33x= 360-30
33x= 330
dividing through by 33
x= 330/33
x= 10
B
ED
E D
B
C
B
m
A
DE
Which rule describes the composition of
transformations that maps figure ABCDE to figure
A"B"CD"E"?
ORC.900 orm
OroRC.900
ORc1800 or
OroRC.1800
Answers
Answer: [tex]R_{C, 180^{\circ}} \circ r_{m}[/tex]
Step-by-step explanation:
The sequence is a reflection over line m followed by a rotation 180 degrees about point C.
Among all the options give the last option that is,
⇒ r m0 Rc180° , is the right answer.
What is Translation?A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.
Now, In the given figure ABCDE is transformed to figure A”B”C”D”E.
Hence, When a figure is reflected along a line the reflected image is at the same distance to the line as the original figure was.
The figure ABCDE is first reflected through the line m to get the figure A'B'C'D'E'.
When a figure is rotated by 180 degrees the x and y coordinates change its place and y sign is reversed.
A'B'C'D'E' is rotated by 180 degrees to come to figure A"B"C"D"E".
Hence, Among all the options give the last option that is,
⇒ r m0 Rc180° , is the right answer.
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Find the value of each variable. The dot represents the center of the circle.
Answers
Answer:
Step-by-step explanation:
By the inscribed angle theorem, [tex]a=21, b=42[/tex]
So, since angles in a triangle add to 180 degrees, the angle vertical to c is [tex]180-21-42=117[/tex], and thus [tex]c=117[/tex]
The product of two irrational numbers is (sometime, always, never) rational.
Answers
sometimes
Step-by-step explanation:
irrational numbers are numbers that cannot be expressed as a quotient of 2 numbers
rational numbers are numbers that can be expressed as a fraction.
for example let's take these examples of iirational numbers:
[tex] \sqrt{2} \times \sqrt{2} = 2[/tex]
[tex]\pi \times \pi = 9.86960....[/tex]
the 1st product (2) can be written as a fraction but the second one cannot be written as a fraction
what is the least common denominator of 4/5ths and 5/7ths
Answers
Answer:
35 is the least common denominator
Step-by-step explanation:
35 is the least (smallest) common (same) multiple of 5 and 7. We use the smallest number that both 5 and 7 go into, because its supposed to be easier to use smaller numbers.
4/5 becomes 28/35 and 5/7 becomes 25/35. And now that they have the same denominator, you could add or subtract them.
X
2
3
4
A. (1, 2, 3, 4)
B. (2, 6, 10, 14)
C. (1,2)
D. (1, 2), (2, 6), (3, 10), (4, 14)
y
2
6
10
14
Answers
Answer:
B (2,6,10,14)
Step-by-step explanation:
I think C and D are imposible to be the answer.
A and B are 50% to be the answer.
But I choose B.
Please help me with this
Answers
Answer:
65.9 ft
Step-by-step explanation:
The Law of Sines tells us the relationship between an angle and the opposite side. We are given the angle opposite the given side, but we need the angle opposite the side of interest.
__
third angleThe sum of angles in a triangle is 180°, so the measure of the angle at the balloon is ...
angle C = 180° -75° -60° = 45°
ground distanceThen the distance between Amaya and Rochelle (c) is ...
c/sin(C) = r/sin(R)
c = r×sin(C)/sin(R) = (90 ft)×sin(45°)/sin(75°)
c ≈ 65.8846
Amaya and Rochelle are about 65.9 feet apart.
Translate the shape A three squares right and one square up.
What are the coordinates of the vertices of the image?
Answers
Answer:
(4, 3) , (4, 0) , (6, 0)
Step-by-step explanation:
M (1, 4)
M ' ( 1 + 3, 4 - 1)
namely M ' (4, 3)
N (1, 1)
N ' ( 1 + 3 , 1 - 1) ((x, y) 3 squares right and 1 square down means
namely n" (4, 0) ( x + 3, y - 1))
p (3, 1)
p ' ( 3 + 3 , 1 - 1)
namely p' (6, 0)
Step-by-step explanation:
(3,4) not that sure about the coordinates are right
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Answers
Answer:
see below
Step-by-step explanation:
I would use the sine function for the info given
in a right triangle sine = opp leg / hypotenuse
so sin 57 = 10.8/x
then x = 10.8 / sin 57 = 12.87
what is the probability that a month starting with a vowel is drown
Answers
3 out of the 12 start with a vowel: April, August, and October.
Probability can be calculated by taking
# of desired outcomes/total # of outcomes
So, the chance of randomly selecting a month that starts with a vowel is 3/12, or 1/4, which is 0.25 or 25%.
i bougth 3 bags of candy and 1 drink for 3.20 dollars. my sister bought 2 bags of candy and 4 drinks for 6.30 dollars. how much does each bag of candy and each drink cost?. may somebody explain me? please.
Answers
Answer:
Step-by-step explanation:
We can set up two equations: one for each sister:
Let C and D be the prices for a Candy bag and and Drink.
Sister 1: 3C + 1D = 3.20 [The total spent by sister 1 is the sum of 3 candy bags(C) and 1 drink (D), which comes to $3.20.]
Sister 2: 2C + 4D = 6.30 [The total spent by sister 2 is the sum of 2 candy bags(C) and 4 drinks (D), which comes to $6.30.]
We have two unknowns, C and D, BUT we have 2 equations. Therefore, we're likely going to be able to solve for C and D if we rearrange one of the equations to isolate one of the unknowns, and then use that expression in the other equation. Seems unlikely, but it always works.
I'll pick Sister 1's equation and solve for D, the price of a drink:
3C + 1D = 3.20
1D = 3.20 - 3C [This tells us the price of a drink is 3.20 - 3C]
Use this definition of 1D in Sister 2's equation:
2C + 4D = 6.30
2C + 4(3.20 - 3C) = 6.30
2C + 12.80 - 12C = 6.30
-10C = - 6.5
C = $0.65
One candy bag, C, is $0.65.
Use this value of C in any equation to find D, the cost of 1 drink. I'll pick The expression we derived above:
1D = 3.20 - 3C
1D = 3.20 - 3(0.65)
1D = 3.20 - 1.95
1D = $1.25
One drink, D, is $1.25.
===================
Check the values:
Candy Bags = $0.65 each Drinks = $1.25 each
Reported
Sister 1 2 1 2
Candy bags 3 2 $1.95 $1.30
Drinks 1 4 $1.25 $5.00
$3.20 $6.30 Calculated
$3.20 $6.30 Reported
T
2sin² theta = sin theta for - 270° ≤ 0 ≤180°
Answers
Answer:
θ = 0°
θ = 30°
θ = 150°
θ = 180°
Step-by-step explanation:
2sin² θ = sin θ
Then
2sin² θ - sin θ = 0
Then
sin θ (2sin θ - 1) = 0
Then
sin θ = 0 or 2sin θ - 1 = 0
Then
sin θ = 0 or sin θ = 1/2
…………………………………………
We have sin θ = 0 and - 270° ≤ θ ≤180°
Then
θ = 0 or θ = π = 180°
On the other hand,
sin θ = 1/2 and - 270° ≤ θ ≤180°
Then
θ = π÷6 or θ = 5π÷6
π÷6 = 30° and 5π÷6 = 150°
Jack is 14 years old. In 2032 to Jack will be twice his age. What year is it
Answers
Answer:
2018 I believe.
Step-by-step explanation:
He'll be two times his age in 2032 which is 28 years old. Subtract 28 from 2032 and you get 2018.
Answer:
2018
Step-by-step explanation:
in 2032 he will be 28 years old because he is 2 times older than 14, 2032-14=2018, because 14 years have passed since he was 14
Kara rollerblades at an average speed of 14 km/h.
How far does she rollerblade in 15 minutes?
Answers
If Kara rollerblades at given average speed, in 15 minutes, she will rollerblade a distance of 3.5kilometers or 3500meters.
How far does Kara rollerblade in 15 minutes?Note that, speed is distance traveled per unit time.
Mathematically, Speed = Distance ÷ time.
Hence, Distance = Speed × time
Given that;
Speed of Kara = 14km/hrTime elapsed = 15min = (15/60)hr = 0.25hrDistance covered = ?Distance = Speed × time
Distance = 14km/hr × 0.25hr
Distance = 3.5km or (3.5×1000)m
Distance = 3.5km or 3500m
Therefore, if Kara rollerblades at given average speed, in 15 minutes, she will rollerblade a distance of 3.5kilometers or 3500meters.
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Please help me with my math question
Answers
Answer:
<
Step-by-step explanation:
5.62x10^4=56200, 4.7x10^5=470000, so it is <.
When i double a number i get 16400 what is the number?
Answers
Answer:
the answer is 8200
Step-by-step explanation:
8200+8200=16400
Solve this equation
3x - 5 = -26
Answers
3x - 5 = -26
step 1:
subtract +5 on each side because you have to do the inverse operation
step 2:
3x= -21
step 3:
now divide 3 on each side
the answer is -7
Hope this helped!
TheOneAndOnlyLara~
Answer:
x=-7.
Step-by-step explanation:
Hi student! Let me help you out.
_________________
First, add 5 to both sides.
[tex]\sf 3x=-26+5[/tex]. Upon simplifying, we obtain this.
[tex]\sf 3x=-21[/tex].
↪
Now divide both sides, by 3.
[tex]\sf x=-7[/tex]
[tex]\therefore,\sf the \quad value \quad of \quad x \quad is \quad -7[/tex]. Which is our final answer.
⇨Hope that this helped! have a great day ahead! ⇦
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