Answers
Answer:
[tex]x = \frac{ \sqrt{6} }{2} [/tex]
[tex]y = \frac{3 \sqrt{2} }{2} [/tex]
Step-by-step explanation:
[tex] \sin(theta) = \frac{opposite}{hypotenuse} [/tex]
[tex] \cos(theta) = \frac{adjacent}{hypotenuse} [/tex]
[tex] \tan(theta) = \frac{opposite}{adjacent} [/tex]
theta = 30°
hypotenuse = √6
opposite = x
adjacent = y
1) find x using the sin formula[tex] \sin(theta) = \frac{opposite}{hypotenuse} [/tex]
[tex] \sin(30) = \frac{x}{ \sqrt{6} } [/tex]
[tex] \sin(30) \times \sqrt{6} = x[/tex]
[tex] \frac{ \sqrt{6} }{2} = x[/tex]
[tex]x = \frac{ \sqrt{6} }{2} [/tex]
2) find y using the cos formula[tex] \cos(theta) = \frac{adjacent}{hypotenuse} [/tex]
[tex] \cos(30) = \frac{y}{ \sqrt{6} } [/tex]
[tex] \cos(30) \times \sqrt{6} = y[/tex]
[tex] \frac{3 \sqrt{2} }{2} = y[/tex]
[tex]y = \frac{3 \sqrt{2} }{2} [/tex]
Related Questions
pls help U WILL BE BRAINLISTED
Answers
Answer:
C.)
Step-by-step explanation:
You need at least 6 employees to generate 7,300 dollars in revenue because 7300-5500=1800 and 1800/300=6. Hope this helps
What is the value of 7(4 + x) when x = 5?
Answers
Answer:
63
Step-by-step explanation:
7(4+x)
Distribute: 28 + 7x
Substitute: 28 + 7(5)
Simplify: 28 + 35
Simplify: 63
b) Add the following equation:
x/3+4x/3
Answers
Answer:
5x/3
Step-by-step explanation:
Did I get it correct?
Answers
Answer:
No they are proprotional.
Step-by-step explanation:
the tables eqaution is
y=3x+1
Answer:
Yes. I assume yes they are proportional because you can see a pattern in the y and x's.
Billy bought 2 sweatshirts and 3 t-shirts. His friend Jordan bout 3 sweatshirts and 3 t-shirts. Billy's bill was $35 and Jordan's bill was $45. What is the price of one t-shirt and what is the price of one sweatshirt?
Answers
for billy: 2x+3y=35$
for jordan:3x+3y=45$
We need to get rid of one of the unknowns inorder to solve, therefore we will subtract the two equations from each other. This will get rid of the y variable(3y-3y=0)
2x+3y=35$
-
3x+3y=45$
=
-1x=-10$
we get rid of the negative, which leaves us with x=10$. Knowing this info, we can now easily calculate y:
2x+3y=35$
2(10)+3y=35$
20+3y=35$
3y=15
y=15/3
y=5
Hope this helps!
The trailer ramp is shaped like a triangle prism . The height of the ramp is 14 inches and the volume of the ramp is 4704 inches 3. What is the area of the base of the trailer ramp in the square centimeters?
Answers
Answer:
A = 2167.73 cm²
Step-by-step explanation:
Given that,
A trailer ramp is in the shape of a triangular prism.
the height of the ramp, h = 14 inches
The volume of the ramp, V = 4704 inches²
We need to find the area of the base of the trailer ramp.
The volume of the triangular prism is given by :
[tex]V=A\times h[/tex]
A is area of base and h is height
[tex]A=\dfrac{V}{h}\\\\A=\dfrac{4704}{14}\\\\A=336\ \text{inches}^2[/tex]
or
A = 2167.73 cm²
So, the area of the base of the ramp is 2167.73 cm².
Fine c. Round to the nearest tenth
Answers
Answer:
14.9
if you need it
side a is 24.04867
9514 1404 393
Answer:
c ≈ 14.9 cm
Step-by-step explanation:
I personally like to use a proportion that has the unknown in the numerator. The angle opposite c is ...
C = 180° -150° -12° = 18°
Then the law of sines tells us ...
c/sin(C) = b/sin(B)
c = sin(C)·b/sin(B) = sin(18°)/sin(12°)(10 cm)
c ≈ 14.9 cm
please help, can't understand.
Answers
Step-by-step explanation:
Angle ACO = 140° - x. (Sum of angles in a triangle is 180°)
Now draw the line OD. The triangles ODC and OBC are congruent via the SSS congruence property. (OD and OB are both the radius of semicircle, common side OC, and side CD = CB is given)
Hence Angle BCO = Angle ACO = 140° - x.
Since triangle OBC is an isosceles triangle with OC = OB, this means that Angle CBO is also 140° - x.
By Exterior Angle theorem,
we have Angle AOC = Angles BCO + CBO
=> x = (140° - x) + (140° - x)
=> 3x = 280°
=> x = 280°/3. (B)
A 123-inch pipe is cut into two pieces. One piece is two times the length of the other. Find the length of the shorter piece.
Answers
Answer:
the shorter pipe is 41 inches the longer one is 82 inches.
Step-by-step explanation: hope this helps
help will give Brainliest.
Does this expression use the distributive property?
(6x + 3) + (5x - 4)
Answers
no because you are not distributing numbers that multiply with each other and form new expressions
Answer:
hm I'm not sure but you solve it like this
Step-by-step explanation:
(6x + 3) + (5x - 4)
remove unnecessary parenthesis
6x+3+(5x-4)
collect like terms
11x+3-4
answer :
11x-1
Add (−x + 4) + (3x + 2). I WILL MARK BRAINLIST!
Answers
Answer:
2x+6
Step-by-step explanation:
(-x+4)+(3x+2) remove ()
-1x+4+3x+2 combine like terms
2x+6
Combine like terms for the variables (-x and 3)
Subtract 3 to get 2
And then add 4 and 2 to get 6
and divide 6 by 2 to get 3
Find the x and y intercept of the line. x = 2 need in 10-15 minutes PLEASE
Answers
Answer:
x-intercept: (2,0)
y-intercept: This line doesn't cross the y-axis.
Write an equation for the statement. Then, solve the equation:
The volume of a can varies jointly as the height of the can and the square of its radius. A can with an 8 inch
height and 4 inch radius has a volume of 402.12 inches cubed. What is the volume of a can that has a 2 inch
radius and a 10 inch height?
PLZZ help
Answers
Answer:
V = 125.6 in³
Step-by-step explanation:
let V be volume, h the height and r the radius, then the equation relating the quantities is
V = khr² ← k is the constant of variation
To find k use the condition V = 402.12, h = 8, r = 4
402.12 = k × 8 × 4² = 128k ( divide both sides by 128 )
3.14 = k [ note 3.14 is π )
V = 3.14hr² ← equation of variation [ V = πr²h ]
Given r = 2 and h = 10, then
V = 3.14 × 10 × 2² = 3.14 × 40 = 125.6
Jada and Noah wanted to find the total volume of a cube and a rectangular prism. They know that the prisms volume is 20 cubic units, and they know that the cube has side lengths of 10 units. Jada says the total volume is 27,000 cubic units. Noah says it is 1,020 cubic units. Do you agree with either of them?
Answers
Answer:
Noah answer is the correct answer
Step-by-step explanation:
The solution to the above question is given as:
Total Volume = Volume of the prism + Volume of the cube
Volume of the prism = 20 cubic units
Volume of a cube = (Side length)³
= 10³ = 1000 cubic units
Hence: The total volume =
20 cubic units + 1000 cubic units
= 1,020 cubic units
Therefore, I agree with Noah's answer.
The cat is 12 feet above the ground and the ladder is 9 feet away from the tree because of the mud. How long does the ladder needs to be to reach the tree
Answers
Answer:
15 feet
Step-by-step explanation:
The ladder is the hypotenuse of a right triangle, with the legs being 9 ft and 12 ft long (see the picture).
To solve for the length of the ladder, use the Pythagorean Theorem.
[tex]9^{2} +12^{2} =c^{2} \\c=\sqrt{9^{2} +12^{2}} \\c=\sqrt{81+144} \\c=\sqrt{225} \\c=15[/tex]
Byron and Cari are best friends. Byron wants to give a collage photo frame to Cari on her birthday. He measures the photo frame at 12 inches by 18 inches. He wants to cover the photo frame with a golden cloth at a cost of $7 per square inch. How much will it cost for Byron to cover his photo frame?
Answers
Answer:
The answer is $1512.
Step-by-step explanation:
First, multiply 12 by 18, you get 216. Then multiply that by 7, you get 1512. Bryon will need $1512 to cover his photo frame.
Pls help??????????????
Answers
Answer:
perpendicular
Step-by-step explanation:
L1: find the slope
rise: 2 - (-5) = 7
run: -1 - (-3) = 2
m1 = 7/2
L2:
rise: 2 - 4 = -2
run: 7 - 0 = 7
m2 = -2/7
parallel means same slope m1 = m2
perpendicular means opposite reciprocal (flip and change signs)
7/2 flip and change signs = -2/7, yes thus it is perpendicular
I need help with this please. :)
Answers
Answer:
64x³+4
-------------
2x-1
Step-by-step explanation:
I hope this helps. :)
What is the equation
Answers
Find the product: 42.6 × 15.
Answers
Answer:
The answer is 639.
Step-by-step explanation:
42.6 × 15
639
Answer: 639
Step-by-step explanation:
42.6 x 15 =639
one more than the product of 6 and a number v?
Plzzzzzz help me:(
And PLZZZ answer right
Thank u!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!:)
Answers
The answer would be 1+6*f
Hope this helps
Have a fantastic day
Please give me the correct answer
Answers
Answer: 3.75
Step-by-step explanation:
[tex]b = 5\\c=6.25\\a^{2} + b^{2} = c^{2} \\a^{2} +5^{2} = 6.25^{2} \\a^{2} + 25 = 39.0625\\a^{2} = 14.0625\\\sqrt{a^{2}} =\sqrt{14.0625} \\a = 3.75[/tex]
The missing side length is 3.75
What is the area of the triangle in the diagram?
Answers
Answer:
A is the correct answer
Step-by-step explanation:
We need to figure out the base and the height. We can do that using pythagorean's theorem.
The others either misused the pythagorean theorem or got the 1/2*base*height formula wrong, so A is the answer.
I answered wrong what’s the right answer?
Answers
It takes 91 pounds of seed to completely plant a 10-acre field. How many acres can be planted per pound of seed?
Answers
Answer:
[tex]0.109\ \text{acres per pound}[/tex]
Step-by-step explanation:
Given that,
It takes 91 pounds of seed to completely plant a 10-acre field.
We need to find how many acres can be planted per pound of seed. Let it is x. It can be calculated by dividing acres to pounds per seeds.
[tex]x=\dfrac{10}{91}\\\\=0.109\ \text{acres per pound}[/tex]
So, the required answer is [tex]0.109\ \text{acres per pound}[/tex].
What is 30% of 60?????
Answers
Answer:
60(.3)= 18
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
please help. I don't understand this problem.
Answers
Please help!!:
Given PQ with P(−2, 5) and Q(6, 2), find point R on PQ such that PRRQ=35. Justify your response.
A. R(a, b) can be found using a=−2+35(8) and b=5+35(−3) to get R(2.8, 3.2)
B. R(a, b) can be found using a=6+35(−8) and b=2+35(3) to get R(1.2, 3.8).
C. R(a, b) can be found using a=6+35(8) and b=2+35(−3) to get R(10.8, 0.2).
D. R(a, b) can be found using a=−2−35(8) and b=5−35(−3) to get R(−6.8, 6.8).
Answers
Answer:
B
Step-by-step explanation:
I just took test
please make me Brainliest
x-15/5=4
what is x in this equation?
Answers
Answer: is 7 an answer choice ?
Step-by-step explanation:
Answer:
x=7
Step-by-step explanation:
x-15/5=4
x-3=4
x=4+3
x=7
Jeremy wants to determine the number of solutions for the equation below without actually solving the equation. Negative 3 (x + 1) + 3 x = negative 3 (x minus 1) + 3 Which method should Jeremy use?
Answers
Options :
Determine whether the equation has the form a = a, and if it does, the equation has infinitely many solutions. Determine whether the equation has the form a = b, and if it does, the equation has no solution. Determine whether the equation has the form x = a, and if it does, the equation has one solution. Determine whether the equation has the form x = 0, and if it does, the equation has no solution.
Answer:
Determine whether the equation has the form x = a
Step-by-step explanation:
Negative 3 (x + 1) + 3 x = negative 3 (x minus 1) + 3
-3(x + 1) + 3x = - 3(x - 1) + 3
If the equation has the form x =a, where a is the unknown and a is the value of the unknown 'x'
Expanding :
-3x - 3 + 3x = - 3x + 3 + 3
-3x + 3x -3 = - 3x + 6
-3 = - 3x + 6
-3 - 6 = - 3x
-9 = - 3x
x = 9/3
x = 3