Given the following 30-60-90 triangle , find the value of x and y Round to the nearest tenth x = 5.2 X = 6 Y = 6 Y = 5.2
Answers
Step-by-step explanation:
tan30° = Opposite/Adjacent = 3/x.
=> 3/x = √3/3, x = 3√3 = 5.2.
sin30° = Opposite/Hypotenuse = 3/y.
=> 3/y = 1/2, y = 6.
The correct answer is the 1st and 3rd options.
Answer:
[tex] \huge \boxed{ \boxed{ \sf \: x = 5.2 \atop\sf y = 6}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:trigonometryPEMDASgiven:[tex] \theta = {30}^{o} [/tex]opp:3to find:adjacent (x)hypotenuse (y)tips and formulas:[tex] \tan( {30}^{o} ) = \frac{ \sqrt{3} }{3} [/tex]tan(a)=opp/adjsin(a)=opp/hypo[tex] \sin( {30}^{o} ) = \frac{1}{2} [/tex]let's solve:according to the question
[tex] \tan( {30}^{o} ) = \frac{3}{x} [/tex]
[tex] \frac{ \sqrt{3} }{3} = \frac{3}{x} \\ x\sqrt{3} = 9 \\ x = \frac{9}{ \sqrt{3} } \\ x = 3\sqrt{3} \\ x = 5.2[/tex]
according to the question
[tex] \sin( {30}^{o} ) = \frac{3}{y} [/tex]
[tex] \frac{1}{2} = \frac{3}{y} [/tex]
[tex]y = 6[/tex]
Related Questions
You have 40 minutes to exercise at the gym, and you want to burn 300 calories total using both
machines. The amount of calories burned on each machine is shown in the picture below. How
much time should you spend on each machine?
Machine a burns 8 calories per minute machine b burns 6 calories per minute.
Answers
a+b = 40
b = 40-a
8a + 6b = 300
8a + 6(40-a) = 300
8a + 240 - 6a = 300
2a = 60
a = 30
b = 40-a = 10
30 minutes on machine A and 10 minutes on machine B
HELP ME JUST ANSWER PLZ IM SUFFERING I WILL GIVE YOU BRAINLYEST OR WHATEVER
Answers
Answer:
534.07in squared is what I got for the surface area
Step-by-step explanation:
6 mi Find the volume for the shape above. Use 3.14 for pi. Round to the nearest whole number.
Answers
Answer:
Step-by-step explanation: does anyone know? I really need this
ANSWER ASAP GIVING BRAINLIEST FIVE STARS AND A HEART!
Two angles are complementary, can they also be supplementary? Explain.
Answers
Answer:
Yes
Step-by-step explanation:
They can because the sum of two Angles is 180, and if they are both 90, they add up to 180, making them congruent. Hope this helps
Supplementary angles are two angles whose sum is 180 degrees while complementary angles are two angles whose sum is 90 degrees.
Saying this you should probably infer that if 2 Angles are complementary, then they are 90°.
Meaning you would need 2 pairs of complementary angles to have a supplementary angle (180°).
Please do number 19 for me.
Answers
20x=180
x=9
Angle ABC is the top one
8x9=72
Answer:
[tex]x = 9[/tex]
[tex]angle \: abc = 8x + 6x + 6x \\ 20x = 180 \\ x = \frac{180}{20} \\ x= 9[/tex]
[tex]plzz \: \: mark \: as \: brainliest[/tex]
Pass a brotha some help :(
Answers
Answer and Step-by-step explanation:
Distribute the 1p to the y and -6 and distribute the 2 to the 3y and 6.
10y - 50 + 6y + 12
Now, combine like terms.
16y - 38
#teamtrees #PAW (Plant and Water)
2 1/6 x 4 1/2 Solve the problem AND explain your steps
Answers
Explanation: 13/6 x 9/2
(reduce) 13/2 x 3/2
(Multiply 13/2 x 3/2)
39/4
(Reduce again) 9 3/4 or 9.75
Hope this helps
Im a bit stuck on this problem
Answers
Answer:
f I I tough luck if it's if I've if it's if you've paid down let of us if just it ubos skits enough of others
Step-by-step explanation:
digital shall will also sorry soap sorry s goo form enough wish all so do all kelan kaso kaka kalakalorry root sorry for
what is the answer?136,88,or 44?
Answers
Answer:
136
Step-by-step explanation:
PLEASE HELP ME!
Solve: system by elimination form
1.
2x + y = 25
3y = 2x - 13
----------------------------------------------------
Answers
-2. -2
1y=23
1y=1y
Y=23
5. Triangle ADE is enlarged to form triangle
Answers
Answer: the scale factor would be 2
Step-by-step explanation:
If you add all lengths for triangle ABC you can see that triangle ADE x 2 will give you the lengths for ABC
Name all the sets of numbers to which each real number belongs. Check all that apply. 4/7
Answers
Answer:
What are you talking about .
Step-by-step explanation:
can someone
please help and fast
Answers
Answer:18
Step-by-step explanation:
same as other side 90 degrees
milk truck delivers 376 dozen gallons of milk to stores in 1 day. Write and solve an equation to find n, the number of gallons of milk the milk truck delivers in 1 day. pls help!
Answers
Answer:
376*12=n
My logic:
there are 12 items in a dozen. so 376 dozens times 12 will result in the total milk delivered in a day.
Pls help me, I'll give brainliest
Answers
First take and rewrite the equation
(8x^6y^12)^1/3
Use power to power rule by multiplying and you will get 2x^2y^4
Hope this helps
a + b + c) = (a + b) + C
propertie
Answers
Answer:
Commutative Property its is....After a 60% reduction, you purchase a new sofa drink machine on sale for $312.
What was the original price of the sofa drink machne?
Answers
Mark is making jackets. Mark took 2 hours to make a jacket. The jacket was made up of 50 kilograms of wool. How long do you think it will take Mark to use 500 kilograms of wool for the jackets?
Answers
Given:
Mark took 2 hours to make a jacket.
The jacket was made up of 50 kilograms of wool.
To find:
The time in which Mark use 500 kilograms of wool for the jackets.
Solution:
We have,
1 jacket take 2 hours.
Number of jackets in 50 kg of wool = 1
Number of jackets in 1 kg of wool = [tex]\dfrac{1}{50}[/tex]
Number of jackets in 500 kg of wool = [tex]\dfrac{1}{50}\times 500[/tex]
= [tex]10[/tex] Jackets
Time taken by 1 jacket = 2 hours
Time taken by 10 jacket = 20 hours
Therefore, it will take 20 hours to use 500 kilograms of wool for the jackets.
Answer:
20 hours
Step-by-step explanation:
1 jacket=50kg wool
1 jacket= 2hrs
500kg available/50kg per jacket= 10 jackets
10 jackets x 2hrs per jacket=20hrs
Please help me with this homework
Answers
Answer:
Step-by-step explanation:
No Taxi - 95
No Bus total - 275
Yes Taxi total - 120
Total Total - 400
¿cuantos envases se necesitan, si ponemos los 6 litros en envases de 3/4 litros?
Answers
se necesitan 8 envases
denada
Please I Need Help
I'm stuck on this question ⁉️
Answers
Answer:
greater than
Step-by-step explanation:
Please forgive me if wrong
How much sand is needed to fill a pit that
is 10m deep and 8m wide and 12m long?
Answers
Answer:
The answer is 960cm3
Step-by-step explanation:
you multiply all the numbers
I NEED HELP PLZ MY SMART PPL
Answers
Answer:
its 60
Step-by-step explanation:
if its right caan i get a brainliest
Answer:
60
Step-by-step explanation:
To get the area of a right triangle (a triangle with an angle of 90 [represented by the box in the corner]) you have the formula of
Area = (a*b) divided by 2
a = one side of the triangle
b = another side of the triangle
Neither side are the hypotenuse.
What property must be used when solving each step of a one variable linear equation?
Answers
add, subtract, multiply, or divide an equation by a number or an expression as long as we do the same thing to both sides of the equal sign. ...
Apply the distributive property as needed:
Isolate the variable on one side of the equation.
Step-by-step explanation:
Please help
How can you describe the graph of the equation y= mx + b? Explain
Answers
Answer:
mx is the slope. b is the y-intercept
Step-by-step explanation:
the first thing you should always do is identify your slope this is key for graphing. remember your slope is b so what ever b is you locate that point in the x axis.
then whatever your slope is remember that it is rise over run so say your equation is y=3x+5 you plot the point on the y intercept which is 5. now 3x is your slope so you put it as a fraction to make it easier this is what it looks like in a fraction "3/1" so you go up 3 on the graph and over 1 because of rise/run
Please I need helppppppp
Answers
Answer:
Step-by-step explanation:
The conversion factor is 454 grams / pound. That makes the answer D.
All of the answers have the right digits. It's the number of zeros that cause the problem.
Answer:
450 grams is the closest metric weight of 1 pound which in actuality is 453.592 gram.
Can someone help me with this please???...
Answers
Answer:
2×2×2×2× 5
Step-by-step explanation:
use the tree method it helps
Answer:
hey mate this is your answer..
Find the slope of the line that goes through (3,5) and (9,-2).
Answers
Answer:
-7/6
Step-by-step explanation:
the slope is change in y/change in x:
-2-5/9-3 = -7/6
the half-life of chromium-51 is 38 days. If the sample contained 510 grams. How much would remain after 1 year?
Answers
Answer:
About 0.6548 grams will be remaining.
Step-by-step explanation:
We can write an exponential function to model the situation. The standard exponential function is:
[tex]f(t)=a(r)^t[/tex]
The original sample contained 510 grams. So, a = 510.
Each half-life, the amount decreases by half. So, r = 1/2.
For t, since one half-life occurs every 38 days, we can substitute t/38 for t, where t is the time in days.
Therefore, our function is:
[tex]\displaystyle f(t)=510\Big(\frac{1}{2}\Big)^{t/38}[/tex]
One year has 365 days.
Therefore, the amount remaining after one year will be:
[tex]\displaystyle f(365)=510\Big(\frac{1}{2}\Big)^{365/38}\approx0.6548[/tex]
About 0.6548 grams will be remaining.
Alternatively, we can use the standard exponential growth/decay function modeled by:
[tex]f(t)=Ce^{kt}[/tex]
The starting sample is 510. So, C = 510.
After one half-life (38 days), the remaining amount will be 255. Therefore:
[tex]255=510e^{38k}[/tex]
Solving for k:
[tex]\displaystyle \frac{1}{2}=e^{38k}\Rightarrow k=\frac{1}{38}\ln\Big(\frac{1}{2}\Big)[/tex]
Thus, our function is:
[tex]f(t)=510e^{t\ln(.5)/38}[/tex]
Then after one year or 365 days, the amount remaining will be about:
[tex]f(365)=510e^{365\ln(.5)/38}\approx 0.6548[/tex]
(HELP FAST PLEASE)
Three identical cell phones weigh 18.7 ounces. What is the combined weight of two cell phones that are also identical to the three cell phones mentioned in the first sentence?
Answers
Answer:
Two of them, actually.) ... It weighs 4.87 ounces — less than a third of a pound. ... In the photo shown above, Philip Shenon, a Times reporter, sits with ... Phil and I carried the satphone from Frankfurt — it was housed in two 65-pound suitcases. ... Modern mobile satellite data units weigh a total of about three
Step-by-step explanation:
thats all i know
