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
Mangoes are on sale 4 for $3. Mindy buys 14 mangoes.
The sales tax is 12%.
What is the total price Mindy pays for the mangoes?
Answers
Answer:
11.76
Step-by-step explanation:
[tex]14 \div 4 = 3.5 \\ 3.5 \times 3 = 10.5 \\ 10.5 \times (1 + 12\%) = 10.5 \times 1.12 = 11.76[/tex]
Find the slope. Make sure to reduce.
Answers
Answer:
The slope here is undefined.
Step-by-step explanation:
The two points shown here are (4, 0) and (4, 1). To find the slope do (y B − y A) /(x B − x A).
(1 - 0)/(4 - 4)
Any number subtracted by 0 gets you itself. Any number subtracted byt he same number gets you zero.
1/0
You can't divide by zero, so the slope is undefined.
solve the simultaneous Equation
3/x- 4/y= 1/3
Answers
Answer:
a simultaneous equation is a set of equations. you need at least another equation.
Answer:
Step-by-step explanation:
Let's solve for x.
3x−4y= 1/ 3
Step 1: Add 4y to both sides.
3x−4y+4y= 1/ 3 +4y
3x=4y+ 1/ 3
Step 2: Divide both sides by 3.
3x/ 3 = 4y+ 1/ 3
3 x= 4/ 3 y+ 1/ 9
Answer:
x= 4/ 3 y+ 1/ 9
Let's solve for y.
3x−4y= 1/ 3
Step 1: Add -3x to both sides.
3x−4y+−3x= 1/ 3 +−3x
−4y=−3x+ 1/ 3
Step 2: Divide both sides by -4.
−4y/ −4 = −3x+ 1/ 3
−4 y= 3/ 4 x+ −1/ 12
Answer:
y= 3/ 4 x+ −1/ 12
Find the sum of -10x^2 - x + 6 and 10x^2 - 5
Answers
Answer:
-x+1
Step-by-step explanation:
A paperweight in the shape of a rectangular prism is shown: A right rectangular prism is shown with length 10 cm, width 4 cm, and height 4 cm. If a cross section of the paperweight is cut diagonal to the base, which shape describes the cross section?
Answers
Answer:
Square
Step-by-step explanation:
CHECK THE ATTACHMENT FOR THE FIQURE OF THE QUESTION
✓We were given the dimension of the rectangular prism as 10cm × 4cm × 4cm,
✓The cross section of the paperweight can be cut into half to it's base. Then the new dimension will be 4cm × 4cm which is a quadrilateral.
✓ Then width= 4cm, and height=4 cm are of the same values, hence the shape it forms is a SQUARE. and also the their angles is 90° each.
La suma de las edades de los hermanos Carlos y Felipe es igual a la edad de su tía María; Si María tiene 29 años y Carlos tiene 13 años, ¿Cuántos años tiene Felipe?
Answers
Answer:
16 años
Step-by-step explanation:
Si la suma de la edad de Carlos y Felipe es igual a la de Maria, y en la pregunta nos dan la edad de Maria (M) y Carlos (C), entonces tenemos que encontrar la edad de Felipe. Para calcular esto necesitamos restar la edad de Carlos de la edad de Maria. Esto nos dara la edad exacta de Felipe (f).
M - C = f
29 - 13 = f
16 = f
Finalmente, vemos que la edad de Felipe es de 16 años
Which conclusion does the diagram support?
Answers
Answer:
The conclusion supported by the diagram is;
(A) [tex]\dfrac{AB}{BC} = \dfrac{FE}{ED}[/tex]
Step-by-step explanation:
The question is examines the theorem that two transversals cut by three or more parallel lines are proportionally divided by the transversals
The given parallel lines are;
Line CD, line BE, and line line AB
The given transversals are;
Line AC and line DF
Therefore, by the above three or more parallel lines cutting two transversal theorem, we have;
BC/AB = ED/FE, BC/DF = AB/FE, CA/AB = DF/FE
From BC/AB = ED/FE, we find the inverse of both sides to get;
[tex]\dfrac{1}{\dfrac{BC}{AB} } = \dfrac{1}{\dfrac{ED}{FE} }[/tex]
[tex]\dfrac{1}{\dfrac{BC}{AB} } = \dfrac{AB}{BC} \ and \ \dfrac{1}{\dfrac{ED}{FE} } = \dfrac{FE}{ED}[/tex]
[tex]\therefore \ \dfrac{AB}{BC} = \dfrac{FE}{ED}[/tex]
The correct option is [tex]\dfrac{AB}{BC} = \dfrac{FE}{ED}[/tex]
Pls help!!!!!!!!!!!!!!!!
Answers
Answer:
.27 or 27/100
Step-by-step explanation:
each tenth is equal to 10 one hundredths
Reflection over the line y = -x of the point (1,3)
Answers
Answer:
(-3,-1)
Step-by-step explanation:
To reflect them you gotta switch their places and change their signs from positive to negative.
so (x,y) -> (-y,-x)
Help guys I really need it
Answers
Answer:
yes it does
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
What is the area of a half circle with a radius of 40 cm?
Answers
Answer:
5027 square centimeters (cm2)
Step-by-step explanation:
Answer:
800π or 2513.3
Step-by-step explanation:
A = πr²/2
A = 1600π/2 or 800π
If x = 2 and y = 5 , evaluate the following expression:
100 − 3 ( 3 y − 4 x )
Answers
Answer:
-59
Step-by-step explanation:
Answer:
e
Step-by-step explanation:
What is the area of triangle ABD?
Answers
Answer:
12 because u use the other shapes to reference your measurements.
write an equivalent expression.
-2x + 7
Answers
Answer:
7-2x
Step-by-step explanation:
Can someone explain this
Answers
Answer:
Jatziry 10%, Kwa 11.1% , Miguel 12.5% , Gina 13%
convert all into percentages
Which equation best represents the line? (4 points)
Answers
Can someone help me find 10% of 25
Answers
Answer:
2.5 is 10% of 25 you just move it back a placement for 10 percent
Answer:2.5?
Step-by-step explanation:
I really need help. Pleeease. I'm begging you!
Answers
the answer is totally numbers
Factor the quadratic 27x2-3
(x2 is X squared) please help.
Answers
Answer:
3(3x-1)(3x+1)
Step-by-step explanation:
27x²-3
You can factor out a 3
3(9x²-1)
Now we can use the difference of perfect squares formula
x²-y²=(x+y)(x-y) which means that 9x²-1=
(3x-1)(3x+1)
put it all together and get
3(3x-1)(3x+1)
Please help me with this question!! Thank you! ❤✨
Answers
Answer:
2 and 1/2
Step-by-step explanation:
(the first one)
The normal price of a bicycle is £120
In a sale, there is 1/5 off the normal price of the bicycle.
Work out the price of the bicycle sale?
Answers
Answer:
76
Step-by-step explanation:
100% = 120
1/5 of 100% = 20%
20% = 120÷100×20
= 24
100-24= 76
When placed near a second charge, a 60-μC charge experiences a force of 0.30 N. What is the electric field strength at the location of the 60-μC charge? What is the strength of the electric field at the location of the test charge?
Answers
Answer:
[tex]E=5000N/C[/tex]
Step-by-step explanation:
From the question we are told that
Charge [tex]q= 60 \mu C[/tex]
Force [tex]F_=0.30N[/tex]
Generally the equation for electric field strength is mathematically given as
[tex]E=F/q[/tex]
[tex]E=\frac{0.30}{60*10^-^6}[/tex]
Therefore
[tex]E=5000N/C[/tex]
16% of 23
please helpppppp
1% of the same number is 4.6
Answers
Answer:
3.68
Step-by-step explanation:
Make 16% a decimal then multiply by 23
.16*23=3.68
What would you multiply by to decrease a number by 22.5%
Answers
Step-by-step explanation:
do 100-22.5 and that should be the number
101.5 × 101.5 × 101.5 × 101.5 pls answer fast
Answers
Answer:
106136355.063
Step-by-step explanation:
101.5 × 101.5 × 101.5 × 101.5
Write the decimal as a percent. 0.0371 = %
Answers
shopkeeper sells tins of the same dog food in packs of four or packs of six.
Packs of four tins cost £1. Packs of six tins cost £1.20
Which is the best value for money?
You must show your working.
Answers
Answer:
Pack of 6
Step-by-step explanation:
Pack of 4 = £1
Packs of 6 = £1.20
Price per unit of each pack:
Pack of 4 ;
Unit price : cost / units
Unit price = £1 / 4 = £0.25
Pack of 6 ;
Unit price : cost / units
Unit price = £1.20 / 6 = £0.20
Pack of 6 is the best value for money as it has a lower unit price
do i add 40 + 45? Or multiply
Answers
Answer:
you add 40+45
Step-by-step explanation:
40+45=85
then you subtract 180 - 85 = 95
then divide x into 95 that will give you x=95
Find the length of the third side. If necessary, round to the nearest tenth.
Answers
Answer:
7.8
Step-by-step explanation:
1. 5^2 +6^2=x^2
2. 25+36 = x^2
3. 61=x^2
4. [tex]\sqrt{61}[/tex] = 7.8
The expression is equivalent to . What is the value of n?
Answers
Answer:
?
Step-by-step explanation: