PLEASE ANSWER AS SOON AS POSSIBLE WILL GIVE "Brainliest" TO THE FIRST CORRECT PERSON!!!
Find the values of x and y. Write your answers in the simplest form.
Answers
Answer: [tex]x=18[/tex] ; [tex]y=6\sqrt{3}[/tex]
Step-by-step explanation:
You can write two expressions that are in terms of 'x' and 'y'. This is a right triangle, so Pythagorean's theorem can be used. We can also use the angle to find the sine of 30 degrees.
Pythagorean's Theorem:
The values 'a' and 'b' are the two shorter sides of the triangle, while the value 'c' is the longest side of the triangle; the hypotenuse.
[tex]a^2+b^2=c^2[/tex]
[tex]x^2+y^2=(12\sqrt{3} )^2[/tex]
[tex]x^2+y^2=12^2*\sqrt{3} ^2=432[/tex]
Sine of the Angle:
Sine is defined to be the opposite side divided by the hypotenuse. Let's take the sine of 30 degrees:
[tex]sin(\alpha )=opposite/hypotenuse[/tex]
[tex]sin(30)=y/12\sqrt{3}[/tex]
[tex]\frac{1}{2} =y/12\sqrt{3}[/tex]
[tex]y=6\sqrt{3}[/tex]
Plug this value of 'y' into the first expression derived from Pythagorean's theorem:
[tex]x^2+y^2=432[/tex]
[tex]x^2+(6\sqrt{3} )^2=432[/tex]
[tex]x^2+108=432[/tex]
[tex]x^2=432-108=324[/tex]
[tex]x=\sqrt{324}[/tex]
[tex]x=18[/tex]
Use this value of 'x' to solve for 'y' in the expression from Pythagorean's theorem:
[tex](\sqrt{324})^2+y^2=432[/tex]
[tex]324+y^2=432[/tex]
[tex]y^2=432-324=108[/tex]
[tex]y=\sqrt{108}[/tex]
[tex]y=\sqrt{36*3}[/tex]
[tex]y=6\sqrt{3}[/tex]
Related Questions
Write twenty eight million, seven hundred and five thousand, one hundred and eighty five as a number
Answers
Hope this will help
a prism is completely filled with 96 cubes that have edge lengths of 1/2 cm.
what is the volume of the prism?
Enter your answer in the box.
Answers
Answer:
12 cm^3
Step-by-step explanation:
Volume of one cube is 1/2 * 1/2 * 1/2 = 1/8 cm^3Volume of prism is 1/8 * 96 = 12 cm^3
what is the product of 653 and 87
Answers
Answer:
56811
Step-by-step explanation:
This is the answer as when you do the math it checks out
have a good day and keep the negative energy out you life
Answers
Step-by-step explanation:
motivation of the Day
wish you the same
a ratio is a comparison of two number in the dame unit.A ratio can be expressed
A. As a fraction
B. Using words
C. With a colon
D. All of the above
Answers
Answer:
D
Step-by-step explanation:
I have learned this in the past and did some research
please help me with this
Answers
Answer:
[tex]2\frac{1}{8}[/tex]
Step-by-step explanation:
On the 3 days that the the worker served less than a cup of food, he served 7/8 of a cup, and 5/8 of a cup twice. Now we add these.
[tex]\frac{7}{8} +\frac{5}{8}+ \frac{5}{8} =\frac{17}{8}\\ \\\\\frac{17}{8} = 2\frac{1}{8}[/tex]
Please help!!! I will give Brainliest!!!! :_D
Write an equation for each situation!
Answers
Alright, Nancy, let's do this.
If dimes are d, then quarters is d + 3.
10d + 25(d + 3) = 1090
I'm dealing with cents to get rid of the pesky decimal.
10d + 25d + 75 = 1090
35d = 1015
d = 29
Since quarters = d + 3, there are 32 quarters and 29 dimes.
Hope this helps!
i friend i am sorry but i can not answer your question there is no picture of wha tu need help with i am truley sorry but give the other person brainliest they need it :) have a great week!
help me pls i need help
Answers
Answer:
Step-by-step explanation:
Habits can be changed. This is shown in the text when it says "Know you can do it."
Hope this helped!
Translate the following:
"five less than the quantity of a number plus one”
A: x-5+1
B: 5-x+1
C: (x+1)-5
D: 5-(x+1)
Answers
Answer:
Option A, x - 5 + 1
Step-by-step explanation:
Step 1: Convert sentence into an expression
Five less than the quantity of a number plus one
(quantity..x - 5) + 1
x - 5 + 1
Answer: Option A, x - 5 + 1
what polynomial must be added to 3xsquared + 4x+7 to obtain a sum of zero
Answers
The polynomial which must be added to 3x² +4x + 7 to obtain a sum of 0 is; -3x² -4x +7.
Let the polynomial which must be added to 3x² +4x + 7 to obtain a sum of 0 be represented by P.
In essence;
P + 3x² +4x + 7 = 0.By subtracting 3x² +4x + 7 from both sides of the equation to obtain the value of P; we have;
P = 0 -3x² -4x +7.Ultimately, P = -3x² -4x +7.
Read more on polynomials;
https://brainly.com/question/2833285
Help help math math math
Answers
Answer:
Non-Linear Function
Step-by-step explanation:
The answer is Non-Linear. Hope this helps :)
A ball is thrown from an initial height of 2 meters with an initial upward velocity of 15 m/s. The ball's height h (in meters) after t seconds is given by the following.
Answers
7
meters, we substitute
7
for
h
and solve for
t
.
=7+2−25t5t2
In order to solve for
t
, we first rewrite the equation in the form
=+at2+btc0
.
=+−5t225t50
Next, we use the quadratic formula to solve for
t
.
=t−b±−b24ac2a
Our equation has
=a5
,
=b−25
, and
=c5
.
Another way
We use these values in the formula.
t
=−−25±−−252·4·55·25
=25±52510
We get that
t
can be either of two values to solve the equation.
=t=−25525100.2087…
or
=t=+25525104.7912…
Rounding these values to the nearest hundredth, we get
=t0.21
or
=t4.79
.
So, the ball's height is
7
meters at approximately
0.21
seconds (on its way up) or
4.79
seconds (on its way down).
Given a trapezoid with a height of 4.3m and bases of 9.2 m and 3.2m, what is the area of the trapezoid? Do not include units in your answer.
Answers
For a height of 4.3m and bases of 9.2 m and 3.2m, the area of the trapezoid is mathematically given as
A=26.7
What is the area of the trapezoid?Generally, the equation for the trapezoid is mathematically given as
A=0.5*(a+b)*h
Therefore
A=0.5*(3.2+9.2)*4.3
A=26.7
In conclusion,area of the trapezoid
A=26.7
Read more about Arithmetic
https://brainly.com/question/22568180
Sammy counts the number of people in one section of the school auditorium. He counts 18 girls, 24 boys, and 8 adults. There are 650 people in the auditorium. What is the probability that one person selected at random is an adult?
Answers
What factors can increase your chances of heart disease?
A. Having low blood sugar levels
B. Having low blood pressure
C. None apply
D. Taking illegal drugs
Answers
Answer:
Having low blood pressure.
Step-by-step explanation:
Blood pressure is based on the heart, and I learned this in health class
Hope this Helps
Identify the like terms: 5x, 6, 8yz, -2w
Answers
Hey there!
IDENTIFYING the LIKE TERMS OF….
5x, 6, 8yz, & -2w
Unfortunately, you don’t have any like terms because NONE of the terms don’t have anything alike with them.
Here’s examples of like terms (we will use the values you have listed above)
• 5x & -4w would give you 1x or simply x
• 6 - 2 would give you 4
• 8yz - 4yz would give you 4yz
• -2w - 1w would give you -3w
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
A garden table and a bench cost $984 combined. The garden table costs $84 more than the bench. What is the cost of the bench?
Answers
Answer:
$450
Step-by-step explanation:
a garden table costs $84 more than the bench,
therfore, $900-84 = $900
$900/2 = cost of bench
$450 = cost of bench
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U10 (e) Solve the equation 2x4 + 5x3 – 5x – 2 = 0
Answers
Answer:
x₁=1; x₂=-1; x₃=-0.5; x₄=-2.
Step-by-step explanation:
[tex]2x^4+5x^3-5x-2=0; \ < = > \ 2(x^4-1)+5x(x^2-1)=0; \ < = > \ 2(x^2+1)(x^2-1)+5x(x^2-1)=0; \ < = >[/tex]
[tex](x^2-1)(2x^2+2+5x)=0; \ < = > \ (x^2-1)(2x^2+5x+2)=0; \ = >[/tex]
[tex]= > \ \left[\begin{array}{ccc}x=1\\x=-1\\x=-\frac{1}{2} \\x=-2\end{array}[/tex]
Can someone please help me with this? I'm not sure how to do it.
Answers
The number horizontally, on the bottom of the grid are the x values. The numbers vertically, going up are the y-values.
So,
O has coordinates x = 1 and y= 1 so it will be (1,1)
E has coordinates x=1 and y = 11 so it will be (1,11)
T has coordinates x=2 and y = 5 so it will be (2,5)
So on…
Solving a One-Variable Linear Equation
Answers
Answer:
[tex]\Longrightarrow:\boxed{\sf{h=14}}[/tex]
Step-by-step explanation:
Isolate the term of h from one side of the equation.
Use the distributive property.
Distributive property:
→ A(B+C)=AB+AC
7h-5(3h-8)=-72First, multiply expand.
⇒ -5(3h-8)
⇒ -5*3h=-15h
⇒ -5*8=40
Rewrite the problem.
→ -15h+40
⇒ 7h-15h+40=-72
⇒ 7h-15h=-8h
→ -8h+40=-72
Subtract by 40 from both sides.
⇒ -8h+40-40=-72-40
Solve.
⇒ -72-40=-112
⇒ -8h=-112
Then, you divide by -8 from both sides.
⇒ -8h/-8=-112/-8
Solve.
Divide the numbers from left to right.
→ -112/-8=14
[tex]\Longrightarrow: \boxed{\sf{h=14}}[/tex]
Therefore, the correct answer is h=14.I hope this helps! Let me know if you have any questions.
Help help help help help
Answers
Answer:
[tex]\sf 5x+6y=12[/tex]
Step-by-step explanation:
[tex]\sf y=-\dfrac{5x}{6}+2[/tex]
Multiply both sides by 6:
[tex]\implies \sf 6 \cdot y=6(-\dfrac{5x}{6}+2)[/tex]
Expand:
[tex]\implies \sf 6y=-5x+12[/tex]
Add 5x to both sides:
[tex]\implies \sf 5x+6y=-5x+12+5x[/tex]
[tex]\implies \sf 5x+6y=12[/tex]
Help help help help math math
Answers
Answer: y = -1
Step-by-step explanation:
Any vertical line's equation is 'y ='
You would get -1 by looking at the line's position on the y-axis
Hope that helps!
Which number best represents thirty-one feet below sea level?
A. 31
B. +31
C. −31
D. 31−
Answers
Answer:
c
Step-by-step explanation:
Pls help I will give brainliest
Answers
A.) 3^2+4^2=5^2
9+16=25
This is correct
B.) 2.5^2+5.6^2=37.61
6.4^2 = 40.96
This is not correct
C.) 9.6^2+12.8^2=256
16^2 = 256
This is correct
An astronaut drops a hammer on the Moon as part of an experiment. Before the drop, he raises the hammer by a height of 1 m, which increases its gravitational potential energy by 1.2 J. The mass of the hammer is 0.75 kg. Calculate the gravitational field strength on the Moon.
Answers
Answer:
1.6 N/kg
Step-by-step explanation:
The units of gravitational field strength are newtons per kilogram. The joule is a derived unit equivalent to a newton·meter.
Then the field strength is ...
newtons/kg = (1.2 N·m)/((1 m)(0.75 kg)) = 1.6 N/kg
Please help with math problem in photo (area of a circle)
Answers
Answer:
4 is you answer
Step-by-step explanation:
I think.
Hope you get smarter
PLEASE HELP PLEASE PLEASE
Answers
Answer:
A. March
Step-by-step explanation:
You can tell by subtracting the tallest bar in the month from the shorter one, and seeing which number is bigger out of all of them.
Hope this helped :)
Answer:
A. March
Step-by-step explanation:
March:
10 - 2 = 8
April:
14 - 10 = 4
May:
18 - 16 = 2
June:
16 - 16 = 0
From this data, we can see that March has the largest difference in the amount of money between year 1 and year 2.
What are the greatest common factors of 21 and 32?
Answers
Answer:
1
Step-by-step explanation:
The biggest common factor number is the GCF number. So the greatest common factor 21 and 32 is 1. Also check out the Least Common Multiple of 21 and 32
The greatest common factor of 21 and 32 is 1.
What is Greatest Common Factor?Greatest common factor or GCF of two numbers is defined as the one common factor of the two given numbers which is the greatest of all the common factors.
GCF is also usually known as Highest Common Factor (HCF).
We have to find the greatest common factors of 21 and 32.
One of the method to find GCF is by prime factorization.
First prime factorize the two numbers. The product of the commonly shared prime factors will be the GCF.
If they don't share any common prime factors, then the GCF will be 1.
21 = 3 × 7
32 = 2 × 2 × 2 × 2 × 2
There are no common prime factors, GCF will be 1.
Hence, the greatest common factor of 21 and 32 is 1 since there are no common prime factors.
To learn more on GCF, click:
https://brainly.com/question/11444998
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For every 100 families with TV sets, about 12 families like
watching sports. In a town of 23,400 families who all have TV sets, how many families would you expect to like watching
sports?
Answers
Answer:
2808 families
Step-by-step explanation:
23400/100 = 234
234*12 = 2808
PLEASE HELP WILL MARK BRAINLIEST
Answers
Answers:
1,
3,
4
Step-by-step explanation: